Answer:
90
Step-by-step explanation:
She scored 50% more so scored 1.5x tyler
1.5 * 60 = 90
Answer:
90
Step-by-step explanation:
so for this, all we have to do is add %50 of the first score to the second one, first lets find out what %50 of that score is
%50 of 60 = 30 (because %50 is half of something)
next, we add that new amount to the first score
60 + 30 = 90
so 90 is %50 more then 60, or 90 is %150 of 60
Which equation can be used to solve for b?
Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 30 degrees. The length of side B C is 5 centimeters, the length of B A is 10 centimeters, and the length of C A is b.
tan(30o) = StartFraction 5 Over b EndFraction
tan(30o) = StartFraction b Over 5 EndFraction
tan(30o) = StartFraction 10 Over b EndFraction
tan(30o) =
Answer:
[tex]tan(30) = \frac{5}{b} [/tex]
Step-by-step explanation:
Trigonometric Ratios.
To solve for b, we check the parameters that are given in the triangle.
If we're considering 30°, we can see that the opposite is given as 5cm and the adjacent is b.
Applying:
[tex]tan \alpha = \frac{oppsite}{adjacent} \\ \\ tan \: (30) = \frac{5}{b} [/tex]
Answer:
a
Step-by-step explanation:
just did the quiz!!!!
I NEED ANSWER ASAP please and thank you
Answer:
hexagon and pentagon structure. also known as a truncated icosahedron
Step-by-step explanation:
hope that gives you a good enough description.
I'm have some issues with the problem shown in the screenshot and would love some help.
The dimensions and volume of the largest box formed by the 18 in. by 35 in. cardboard are;
Width ≈ 8.89 in., length ≈ 24.89 in., height ≈ 4.55 in.Maximum volume of the box is approximately 1048.6 in.³How can the dimensions and volume of the box be calculated?The given dimensions of the cardboard are;
Width = 18 inches
Length = 35 inches
Let x represent the side lengths of the cut squares, we have;
Width of the box formed = 18 - 2•x
Length of the box = 35 - 2•x
Height of the box = x
Volume, V, of the box is therefore;
V = (18 - 2•x) × (35 - 2•x) × x = 4•x³ - 106•x² + 630•x
By differentiation, at the extreme locations, we have;
[tex] \frac{d V }{dx} = \frac{d( 4 \cdot \: {x}^{3} - 106 \cdot \: {x}^{2} + 630\cdot \: {x} ) }{dx} = 0[/tex]
Which gives;
[tex] \frac{d V }{dx} =12\cdot \: {x}^{2} - 212\cdot \: {x} + 630 = 0[/tex]
6•x² - 106•x + 315 = 0
[tex]x = \frac{ - 6 \pm \sqrt{106 ^2 - 4 \times 6 \times 315} }{2 \times 6} [/tex]
Therefore;
x ≈ 4.55, or x ≈ -5.55
When x ≈ 4.55, we have;
V = 4•x³ - 106•x² + 630•x
Which gives;
V ≈ 1048.6
When x ≈ -5.55, we have;
V ≈ -7450.8
The dimensions of the box that gives the maximum volume are therefore;
Width ≈ 18 - 2×4.55 in. = 8.89 in. Length of the box ≈ 35 - 2×4.55 in. = 24.89 in. Height = x ≈ 4.55 in.The maximum volume of the box, V ≈ 1048.6 in.³Learn more about differentiation and integration here:
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Please help me put them in correct place
The inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
Writing linear inequalitiesFrom the question, we are to match the statements with the corresponding inequalities
Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tallx ≤ 100 -5
x ≤ 95
Temperature(x) is greater than the boiling point of water (100 °C)x > 100
John buys x chocolates worth $5 each but he has only $100 in his pocket5x ≤ 100
Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every dayx ≤ 100
and
x ≥ 1/5 × 100
x ≥ 20 ≡ 20 ≤ x
∴ 20 ≤ x ≤100
Hence, the inequalities that match the given expressions are
x ≤ 95
x > 100
5x ≤ 100
20 ≤ x ≤100
respectively
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Please Help! Brainliest Avaliable! Literally Multiple Choice!
It's very simple. Subract 554.26 from 866.32
then, we got the difference is
312.06
thank you
Brainlist please.
The following are the ages (years) of 5 people in a room:
14
,
16
,
16
,
13
,
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?
Answer:
67 years old. (you only gave 4 people and missed out one person)
Step-by-step explanation:
take all the ages first and put the unknown (age of the person who entered the room) as x.
14, 16, 16, 13, x
all of these numbers added to together would be:
59 + x
Because the question is talking about the mean age, to find mean:
add all the values in the data (ages) and divide by the total number of values on the list. (in your case would be 6 people (following your question) but you gave only 5 people including the x).
then (59 + x) / 6 = 21
21 x 6 = 126
126 = 59 + x
x = 67
Sets A,B , and C are subsets of the universal set U.
These sets are defined as follows.
U= {f,g,h,p.q.r.x.y.z}
A={f,h,p.q.r}
B={q,r,y,z}
C={g,h,p,q,y}
Find (B' U A) ∩ C.
Write your answer in roster form or as Ø.
[tex]B'=\{f,g,h,p,x\}\\B'\cup A=\{f,g,h,p,q,r,x\}\\(B'\cup A)\cap C=\{g,h,p,q\}[/tex]
A bagel shop sells coffee in a container shaped like a rectangular prism. A graphic designer who works for the bagel shop drew the net below to create a design for the container.
1598 cm square is the area of the container.
According to the statement
we have given that the container is rectangular prism
And Length of rectangular prism is 34cm
Width of rectangular prism is 17 cm
Height of rectangular prism is 20 cm
we use the below written formula to find the surface area
Surface area formula A=(wl+hl+hw)
To find the surface area of the container.
Substitute the values of Length, width and height in the formula then
A=(wl+hl+hw)
A=((17)(34)+(20)(34)+(20)(17))
After solving the values
A=(578+680+340)
A= 1598
So, 1598 cm square is the area of the container.
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The plot below shows the volume of paint left in 444 cans.
All measurements are rounded to the nearest \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction pint.
A line plot labeled Volume in pints shows, moving left to right, labeled tick marks at two, two and one-half, three, three and one-half, four, four and one-half, five, five and one half, and six. Dots are plotted as follows: 1 dot above two and one-half; 2 dots above four; and 1 dot above five and one-half.
A line plot labeled Volume in pints shows, moving left to right, labeled tick marks at two, two and one-half, three, three and one-half, four, four and one-half, five, five and one half, and six. Dots are plotted as follows: 1 dot above two and one-half; 2 dots above four; and 1 dot above five and one-half.
If we split the total amount of paint so that each can had the same amount, how much paint would be in each can?
The amount of paint that would be contained in each of the can would be 8.
How to solve for the amount of paint.
Using the information in the question we have the following
We have to solve the equation as
(2 1/2) + 2(4) + 1(5 1/2) =
2.5 + 8 + 5.5
= 16
Each of these would have to hold 16/2 = 8 pints.
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Answer:
4 pints
Step-by-step explanation:
the expert is wrong
Complete the frequency table:
Method of Travel to School
Walk/Bike Bus Car Row totals
Under age 15 18 165
Age 15 and above 65 195
Column totals 152 110 98 360
What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent.
The percentage of students age 15 and above travel to school by bus is 47%
How to complete the table?The table of values is given as:
Method of Travel to School
Walk/Bike Bus Car Row totals
Under age 15 18 165
Age 15 and above 65 195
Column totals 152 110 98 360
Using the column total of column 1, we have:
Under age 15 + 65 = 152
This gives
Under age 15 = 87
Using the column total of column 2, we have:
Age 15 and above + 18 = 110
This gives
Age 15 and above = 92
Using the row total of row 1, we have:
Car + 87 + 18 = 165
This gives
Car = 60
Using the row total of row 2, we have:
Car + 65 + 92 = 195
This gives
Car = 38
So, the complete frequency table is
Method of Travel to School
Walk/Bike Bus Car Row totals
Under age 15 87 18 60 165
Age 15 and above 65 92 38 195
Column totals 152 110 98 360
The percentage of students age 15 and above travel to school by bus is:
Percentage = 92/195 * 100%
This gives
Percentage = 47%
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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-14x^2+1035x-10266
The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13
Quadratic equationy = -14x² + 1035x - 10266
solve the quadratic equation-14x² + 1035x - 10266 = 0
x = -b ± √b² - 4ac / 2a
= -1035 ± √1035² -4(-14)(-10266) / 2(-14)
= -1035 ± √1071225 - 574896 / -28
= -1035 ± √496329 / -28
x = 1035 / 28 ± √496329 / 28
x = 11.80 or 62.13
The maximum value of x is 62.13
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Officially, variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ). An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit. Python’s most-followed style guide, PEP8 also suggests we limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.How many variable names can there be in Python if we abide by these two rules?
Abiding by the two rules, the number of variable names we can have in Python are; 63
How to name variables in Python Programming?The rules for python are given as;
1) Variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ).
1b) An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit.
2) We limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.
Now, abiding by the two rules above, the number of variable names we can have in Python are;
26( A-Z) + 26(a-z) + 10(0-9) + 1 ( _ ) = 63 variable names
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Complete the table. Each column should contain equivalent values. One column has been completed for you. Make sure the fractions are stated in simplest form.
Fraction Decimal Percent
0.39 39%
0.82
22%
0.8
The complete table will be:
Fraction Decimal Percent
39/100 0.39 39%
82/100 0.82 82%
22/100 0.22 22%
3/4 0.75 75%
80/100 0.8 80%
Percentage
The percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the following example:
[tex]\frac{25}{100} =0.25*100=25%[/tex]
The percentage is considered a math tool with several applications and areas, for example: medicine, engineering, investments, supermarkets, drugstores,banks etc.
Line 1Fraction Decimal Percent
39/100 0.39 0.39*100=39%
Line 2Fraction Decimal Percent
82/100 0.82 0.82*100=82%
Line 3
Fraction Decimal Percent
22/100 0.22 22%
Line 4
Fraction Decimal Percent
3/4 0.75 0.75*100=75%
Line 5
Fraction Decimal Percent
80/100 0.8 0.80*100=80%
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In the following activity, write an equation to represent each verbal statement, and use it to find the value of each unknown number. Then, put the solution values in order from smallest to largest. [Note: The smallest solution is "first", and the largest solution is "fifth".]
The solution values in order from smallest to largest are;
-13 - First-10 - Second-3.5 - Third-2 - Fourth-0.75 - FifthUnknown equationlet
the unknown number = x(x - 5)-2 = 14
-2x + 10 = 14
-2x = 14 - 10
-2x = 4
x = 4/-2
x = -2
4x - 5 = -8
4x = -8 + 5
4x = -3
x = -3/4
x = -0.75
(x + 3) / 5 = -2
x + 3 = -2(5)
x + 3 = -10
x = -10 - 3
x = -13
1/2x + 4 = -1
1/2x = -1 - 4
1/2x = -5
x = -5 ÷ 1/2
= -5×2/1
x = -10
x + 2 = 6/-4
-4(x + 2) = 6
-4x - 8 = 6
-4x = 6 + 8
-4x = 14
x = 14/-4
x = -3.5
Therefore, the smallest value is -13 and the largest value is -0.75.
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find x and y pls help
30 + 110 + 30 + 110 = 280
360-280 = 80
2y = 80
y = 40 degrees
If y is 40. Then the angle next to 30 is also y due to vertically opposite angles.
30 + 40 = 70
The line with 2 arrows is parallel to the line with x degrees. So, I use co-interior angles adds to 180.
In that c shaped, we got the bottom angle to be 70 & the top to be 110 because co-interior angles =180
Forget the c shape exists, and move onto the triangle that's visible. The top angle is 110 as found.
Angles in triangle add to 180.
180 - 110 - 30 = 40.
Thus, x = 40 degrees
There's a short cut I realise now because we can have alternate angles are equal; creating a z shape to find what x is equal to & that turns out to be the same value as y. ( due to vertically opposite angles)
Hope this helps!
How many full cases and additional items are needed to fulfill the order? 50 8
The computation illustrate that there'll be 13 cases and 2 additional units.
How to illustrate the information?From the information given, it was stated that 80 units are needed, 6. units per case.
Therefore, the number of cases will be:
= 80/6
= 13 remainder 2.
Therefore, there'll be 13 cases and 2 additional units
Complete information
80 units are needed, 6. units per case. What is the number of cases and the number of additional units?
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Calculate the geometric center of the grapg under the function
The geometric center of the graph under the function is 5/3
How to determine the geometric center of the graph under the function?The equation of the function is given as:
f(x) = 3 - |x - 2|
The interval is given as:
x ∈ [0, 3]
The geometric center (gc) of the graph under the function is calculated using
gc = ∫x f(x) dx/∫f(x) dx
Substitute the known values in the above equation
gc = ∫x * (3 - |x - 2|) dx/∫3 - |x - 2| dx
Integrate the numerator and the denominator of the above equation
gc = [-1/6(x - 2)((2|x -2| - 9)x + 2|x - 2| - 18)]/[3x - 1/2[|x - 2|(x - 2)]]
Recall that the interval is given as x ∈ [0, 3]
Substitute the interval values in the above equation.
The equation is then simplified using a graphing calculator.
So, we have
gc = (65/6)/(13/2)
Express the quotient expression as a product
gc = (65/6) * (2/13)
Divide 65 by 13
gc = 5/6 * 2
Divide 2 by 6
gc = 5/3
Hence, the geometric center of the graph under the function is 5/3
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Which is the graph of the inequality?
5y+x>−10
Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A dotted line with a positive slope is drawn in the fourth quadrant of the graph. The area above the line is shaded gray.
Number graph ranging from negative ten to ten on the x and y axes. A solid line passes through (negative one, zero) and (zero, three). The area to the left of the line is shaded gray.
Number graph ranging from negative twenty to twenty in increments of two on the x and y axes. A solid line passes through (zero, negative fourteen) and (two, zero). The area to the right of the line is shaded gray.
Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray.
We can simplify the inequality to:
y > (-1/5)*x - 2
From that, we conclude that the correct option is the last one.
Which is the graph of the given inequality?
Here we have the inequality:
5y + x > -10
If we isolate y, we get:
y > (-10 - x)/5
y > (-1/5)*x - 2
Then the inequality will be a dashed/dotted line with a negative slope, that passes through the point (0, -2), such that the region above and to the right of the line is shaded.
From that we conclude that the correct option is the last one:
"Number graph ranging from negative ten to ten on the x and y axes. A dotted line passes through (zero, negative two) and (five, negative three). The area above the line is shaded gray."
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– 42 – 54 + 96 =
what is the answer
Answer:
Answer:the answer is zero
Answer:the answer is zero Step-by-step explanation:
Answer:the answer is zero Step-by-step explanation:when we add -42 and -54 the answer we get is -96. -96and +96 cut each other and then the answer is zero
[tex] - 42 - 54 + 96 = 0[/tex]
Question 1 (3 points)
Solve the following linear system:
y = -2x - 5
y = 2/3x + 3
as an ordered pair (x,y)
Answer:
Step-by-step explanation:
hello : y = -2x - 5
y = 2/3x + 3
means : -2x-5 = 2/3 x+3
-6x-15 = 2x +9
-8x=24 so : x = -3
put the value for : x in the first equation :y = -2(-3)-5 =1
the ordered pair (-3;1) is solution
answer this please only the ones that are blank
Answer:
#3 5(2a+4)
#4 5(a+2+4)
#5 5a+5(2+4)
Step-by-step explanation:
I think so, I am probably wrong
solve for x by completing the square: x2 − 8x + 13 = 0. show all work
There are two real roots for the quadratic equation x² - 8 · x + 13 = 0, contained in the number x = 4 ± √2.
How to find the roots of a polynomial by completing the square
In this question we must apply algebraic handling to simplify a quadratic equation and find the roots that satisfy the expression. Completing the square consists in transforming part of the equation into a perfect square trinomial, and then we clear for x:
x² - 8 · x + 13 = 0
x² - 8 · x + 16 = 3
(x - 4)² = 3
x - 4 = ± √2
x = 4 ± √2
There are two real roots for the quadratic equation x² - 8 · x + 13 = 0, contained in the number x = 4 ± √2.
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Some boys and girls are waiting for school buses. 25 girls get on the first bus. The ratio of boys to girls at the stop is now 3:2. 15 boys get on the second bus. There are now the same number of boys and girls at the bus stop. How many students were originally at the bus stop?
Answer:
100
Step-by-step explanation:
Forming algebraic equations and solving:
Let the number of boys originally at the stop = 'x'
Let the number of girls originally at the stop = 'y'
25 girls get on the first bus.
⇒ The number of girls now at the stop = y -25
Ratio of boys to girls:
[tex]\sf \dfrac{x}{y -25}= \dfrac{3}{2}\\\\Cross \ multiply,\\\\2x = 3*(y- 25)\\\\2x = 3y - 3*25\\\\2x = 3y - 75 ------[/tex](I)
15 boys get on the second bus.
Now, the number of boys at the stop = x - 15
Number of girls at the stop = y - 25
Ratio of boys to girls,
[tex]\sf \dfrac{x - 15}{y -25} = \dfrac{1}{1}\\\\Cross \ multiply, \\\\x - 15 = y -25\\\\[/tex]
x = y -25 + 15
x = y - 10
Plugin x = y - 10 in equation (I)
2*(y-10) = 3y -75
2y - 20 = 3y -75
-20 = 3y - 75 - 2y
-20 = y -75
-20 +75 = y
[tex]\sf \boxed{\bf y = 55}[/tex]
Plugin y = 55 in equation (I)
x = 55 -10
[tex]\sf \boxed{\bf x = 45}[/tex]
Number of students originally at the stop = x + y
= 55 + 45
= 100
help me pls: what is
four and two eighths minus two and five eighths equals
Answer:
13/8
Step-by-step explanation:
4 2/8 - 2 5/8
34/8 - 21/8 = 13/8
1 5/8 as a mixed fraction
Theodore invests $20,000 at 6% simple interest for 1 year. How much is in the account at the end of the 1
year period?
Answer:
Answer:
$21200
Step-by-step explanation:
6% × 20000 = 1200.
20000 + 1200 = 21200
basically yout find 6% of 20000 then add it the original 20000
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each statement with its contrapositive.
Option 4,option 6, and option 2 is the respective contrapositive to the statements given. This can be obtained by understanding what contrapositive is and converting the statements.
What is contrapositive? Contrapositive: A statement which is obtained by interchanging both the hypothesis and conclusion of a given statement after contradicting them. For "if p then q" the contrapositive is "if not-q,then not-p "For example,Statement = If a figure is a square, then it is a quadrilateral.
Contrapositive = If a figure is not a quadrilateral, then it is not a square.
Here,
Statement 1: If two figures are congruent, then their corresponding sides are equal.Contrapositive: If the corresponding sides of two figures aren't equal, then the two figures aren't congruent. (Option 4)
Statement 2: If two numbers are even, then their product is even.Contrapositive: If the product of two numbers isn't even, then the two numbers aren't even. (Option 6)
Statement 3: If a figure is a pentagon, then the sum of its interior angles is 540°.Contrapositive: If the sum of the interior angles of a figure isn't 540°, then the figure isn't a pentagon. (Option 2)
Hence Option 4,option 6, and option 2 is the respective contrapositive to the statements given.
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Question is attached as an image
The general solution of the logistic equation is [tex]y(t) = \frac{14}{1 - C\cdot e^{-\frac{14\cdot t}{3} }}[/tex].
The particular solution of the logistic equation is [tex]y(t) = \frac{14}{1 + 0.4 \cdot e^{-\frac{14\cdot t}{3} }}[/tex].
What are the general and particular solutions of the logistic equation?
In this question we are before a type of ordinary differential equation known as equation with separable variables, that is to say, that variables t and y can be separated at each side of the expression in order to find a solution:
dy / dt = 3 · y · (1 - y /14)
dy / [(- 3 / 14 ) · y · (y - 14)] = dt
Then, we simplify the expression by partial fractions and integrate the resulting expression:
- (1 / 14) ∫ dy / y + (1 / 14)∫ dy / (y - 14) = - (14 / 3)∫ dt
- (1 / 14) · ㏑ |y| + (1 / 14) · ㏑ |y - 14| = - (14 / 3) · t + C, where C is the integration constant.
㏑ |(y - 14) / y| = - (14 / 3) · t + C
[tex]1 - \frac{14}{y} = C\cdot e^{-\frac{14\cdot t}{3} }[/tex]
[tex]\frac{14}{y} = 1 - C \cdot e^{-\frac{14\cdot t}{3} }[/tex]
[tex]y(t) = \frac{14}{1 - C\cdot e^{-\frac{14\cdot t}{3} }}[/tex]
The general solution of the logistic equation is [tex]y(t) = \frac{14}{1 - C\cdot e^{-\frac{14\cdot t}{3} }}[/tex].
If y(0) = 10, then the particular solution of the differential equation is:
10 = 14 /(1 - C)
1 - C = 1.4
C = - 0.4
The particular solution of the logistic equation is [tex]y(t) = \frac{14}{1 + 0.4 \cdot e^{-\frac{14\cdot t}{3} }}[/tex].
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Help Me Please with this Math Money Question It Wont Me Screenshot But
Question: CD's are 5 for $30.00.
What is the price of 3 CD's?
Answers:
A) $18.00
B) $15.00
C) $6.00
D) $3.00
Answer:
A
Step-by-step explanation:
$30.00 ÷ 5 = $6.00
$6.00 × 3 = $18.00
Question 2: Xiulin and Meifang had an equal number of postcards. Meifang gave some of her postcards to Xiulin. After that, Meifang had 76 fewer postcards than Xiulin. Given that Meifang had 72 postcards left, find the number of postcards Xiulin had at first.
110 postcards Xiulin had at first.
What is algebric equation?Algebric equation is a mathematical statement in which two equation set equal to each other.
Let the number of postcards belonging to Xiulin and Meifang be x.
Let the number of postcard Meifang gave to Xuilin be 'a'
Number of postcard left with meifang
=> x-a = 72
=> x = 72+a
Meifang had 76 fewer postcards than Xiulin.
so, (x+a)-72=76
72+a+a-72=76
2a = 76
a = 38
meifang give 38 cards to xuilin
x = 72+38
= 110
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for this graph, mark the statements that are true.
Answer:
C,D
Step-by-step explanation:
C: Range refers to the y axis and all values shown on this graph (and even beyond the graph) are greater than 0
D: The domain refers to the x-axis. The line goes on forever both to the right and the left therefore meaning all x values are used.