Answer: x = 13 and y = 8
Step-by-step explanation:
Two numbers must add to 21. We don't know them yet, so let's just use a placeholder for both of them for now.
x + y = 21
Their difference is five, meaning that if we subtract one from the other, we get five. Again, we don't know the numbers yet, so we'll add a placeholder for now.
x - y = 5
We can now solve a system of equations for x.
x = y + 5
y + 5 + y = 21
2y + 5 = 21
2y = 16
y = 8
x - 8 = 5
x = 13
So x = 13 and y = 8
An engineer is using computer-aided design (CAD) software to design a component for a space shuttle. The scale of the drawing is 1 cm : 60 in. The actual length of the component is 12.75 feet. What is the length of the component in the drawing?
============================================================
Work Shown
1 foot = 12 inches
12.75 ft = 12.75*12 inches = 153 inches
The scale of 1 cm : 60 in allows us to form the proportion below
(1 cm)/(60 in) = (x cm)/(153 in)
1/60 = x/153
1*153 = 60*x ..... cross multiply
153 = 60x
60x = 153
x = 153/60
x = 2.55
The length of the component in the drawing is 2.55 cm
Side note: This is equivalent to 25.5 mm since 1 cm = 10 mm (ie you multiply by 10 to go from cm to mm).
If entering your answer as a decimal, round your final answer to the nearest hundredth.
Find the perimeter of rectangle LINT.
Answer:
[tex]P = 22.75[/tex]
Step-by-step explanation:
Given:
See attachment for rectangle LINT
Required
Calculate its perimeter
From the attachment:
Considering triangle LYT, we apply Pythagoras theorem.
[tex]LT^2 = LY^2 + TY^2[/tex]
Where:
[tex]LY = 5.2[/tex]
[tex]TY = 3.9[/tex]
The formula becomes:
[tex]LT^2 = 5.2^2 + 3.9^2[/tex]
[tex]LT^2 = 42.25[/tex]
Take positive square root of both sides
[tex]LT = \sqrt{42.25[/tex]
[tex]LT = 6.5[/tex]
Next, we calculate the length of NT.
By comparing triangles LYT and NYT
We make use of the following equivalent ratios to solve for NT
[tex]NT:TY = LT:LY[/tex]
[tex]NT : 3.9 = 6.5 : 5.2[/tex]
Convert to fractions
[tex]\frac{NT}{3.9} = \frac{6.5}{5.2}[/tex]
Make NT, the subject:
[tex]NT = \frac{6.5}{5.2}*3.9[/tex]
[tex]NT = \frac{6.5*3.9}{5.2}[/tex]
[tex]NT = \frac{25.35}{5.2}[/tex]
[tex]NT = 4.875[/tex]
The perimeter (P) is then calculated as:
[tex]P = NT + LT + LI + NI[/tex]
Where
[tex]NT = LI[/tex] and [tex]LT = NI[/tex] -- opposite sides of rectangle.
So:
[tex]P = NT + NT + LT + LT[/tex]
[tex]P = 2NT + 2LT[/tex]
Substitute values for NT and LT
[tex]P = 2*4.875 + 2*6.5[/tex]
[tex]P = 9.75 + 13.0[/tex]
[tex]P = 22.75[/tex]
Hence, the perimeter is 22.75 units
A map has the scale 1cm:40mi. What is the distance between two towns that are 3.3cm apart on the map?
Answer:
132 miles
Step-by-step explanation:
Given data
scale 1cm:40mi.
this means that
1 cm on the map is equal to 40 miles on
Hence if 1cm rep 40 miles
3.3cm will rep x
cross multiply
x= 3.3*40
x=132 miles
the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)
Answer:
Height x=2
Step-by-step explanation:
area of top & bottom:
(5)(4)(2)=40
area of 2 sides:
(x)(5)(2)=?
area of the other two sides:
(x)(4)(2)=?
total area=76
76=40+10x+8x
simplify:
36=18x
x=2
is the function a^x increasing or decreasing?
is the function for a^-x increasing or decreasing?
Anyone please help asap for these both questions. thank you
Answer:
The function a^x is increasing, while a^-x is decreasing.
Step-by-step explanation:
The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.
I hope I helped:)
I would appreciate Brainliest ;)
Find the sum of 0.5 and -0.5.
Amswer
The answer is 0
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!A rectangular pyramid has a volume of 216 in³. A rectangular prism has the same height as the rectangular pyramid and a base that is congruent to the base of the rectangular pyramid.
What is the relationship between the volume of the rectangular pyramid and the rectangular prism?
A.The volume of a rectangular prism is 2 times the volume of a rectangular pyramid. The volume of the rectangular prism is 432 in3.
B.The volume of a rectangular prism is 13 the volume of a rectangular pyramid. The volume of the rectangular prism is 72 in3.
C.The volume of a rectangular prism is 12 the volume of a rectangular pyramid. The volume of the rectangular prism is 108 in3.
D.The volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.
Answer:
D
Step-by-step explanation:
I took the test.
Answer:
d
Step-by-step explanation:
i dont know
1 The length of a rectangle is 10 inches, and the
width is represented by 3x. Which best
represents an equation and solution for x if the
area of the rectangle is 40 square inches?
A 10(3x) = 40; X = 4
B 30x = 40; x = 1;
C 3x = 40; x = 13
D 3x + 10 = 40; X = 10
Answer:
A
Step-by-step explanation:
To find the area of a rectangle, it is length times width (10*3x), and if it equals 40, you could just write that after the equation, and then find out that "x" would equal [tex]\frac{4}{3}[/tex]
Answer:
30x = 40 ; x ≈ 1
Step-by-step explanation:
[tex]A^{}[/tex] = [tex]l^{}[/tex] [tex]w^{}[/tex]
[tex]l^{}[/tex] = 10 inch.
[tex]w^{}[/tex] = 3x
10(3x) = 40
30x = 40 ; x = [tex]1\frac{1}{3}[/tex] ≈ 1
A mechanic has sockets with sizes shown below. Write each fraction in the correct box.
Missing Details:
Write each fraction in the correct box.
1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in
Less than: 1/2inch,
Equal to: 1/2inch
Greater than: 1/2inch
Answer:
Less than: 1/2inch---> 1/8 in
Equal to: 1/2inch ---> 8/16 in
Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in
Step-by-step explanation:
Given
Sizes: 1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in
Required
Match the size with the correct inequalities
Convert 1/2in to decimal
[tex]\frac{1}{2}\ in = 0.5\ in[/tex]
Next, we convert each size to decimal and compare the decimal equivalent to 0.5in
Convert 1/8in to decimal
[tex]\frac{1}{8}\ in = 0.125\ in[/tex]
0.125 is less than 0.5in
Convert 5/8in to decimal
[tex]\frac{5}{8}\ in = 0.625\ in[/tex]
0.625 is greater than 0.5in
Convert 8/16in to decimal
[tex]\frac{8}{16}\ in = 0.5\ in[/tex]
0.5 is equal to 0.5in
Convert 9/16in to decimal
[tex]\frac{9}{16}\ in = 0.5625\ in[/tex]
0.5625 is greater than 0.5in
Convert 15/16in to decimal
[tex]\frac{15}{16}\ in = 0.9375\ in[/tex]
0.9375 is greater than 0.5in
Convert 5/6in to decimal
[tex]\frac{5}{6}\ in = 0.833\ in[/tex]
0.833 is greater than 0.5in
So, we have:
Less than: 1/2inch---> 1/8 in
Equal to: 1/2inch ---> 8/16 in
Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in
What angles measure 70 degrees?
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Please help! Suppose f(x) = x - 4. Find the graph of
3/4 f(x).
Click on the correct answer.
graph 1
graph 2.
Answer:
Graph 1 because if you just do the Y coordinate its much easier.
Answer:
graph 1
Step-by-step explanation:
the answer is graph 1
Pls help pls pls pls
Answer: A don't get confused by b
Step-by-step explanation:
Describe how k affects the graph of the function f(x)= -3/5(10)^x
Answer:
1437.33
Step-by-step explanation:
=
<
2 of 4
Next >
natalie
Updare
Toncher
Student
You are buying cookies. Each cookies costs $3.
The following function represents the total cost after
buying x cookies.
f(x) = 3x
Complete the table below.
<
o4
Number of Cookies
Total Cost (Dollars)
0
1
2
I
3
4
5
Graph the function.
Answer:
0---0
1----3
2---6
3----9
4----12
5----15
Step-by-step explanation:
Michael has 38 nickels and quarters in his backpack. If he has a total of $4.50. how many nickels, n, and how many quarters, q, does he have?
Answer Michael has
nickels and
quarters
Answer:
10 quarters and 2 nickels
Step-by-step explanation:
38 x .5 = 1.90
4.50 - 1.90 = 2.60
10 quarters and 2 nickels.
lena purchased a prepaid phone card for $20. long distance call cost 18 cents a minute using this card. Lena used her cared only once to make a libg distance call. if the remaining credit on her card is $13.34, how many minutes did her call last?
Answer:
37 minutes
Step-by-step explanation:
We start by finding the difference between the original amount and what is left
Mathematically, that will be;
20-13.34 = 6.66
To
cents that will be 6.66 * 100 = 666 cents
We now divide by the amount per minute
The amount per minute is 18 cents
Thus, the number of minutes will
be 666/18 = 37
The slope of the line that passes through the points
(3, 14) and (7, 9) is
ASAP
Answer:
[tex]\boxed {\boxed {\sf m= - \frac{5}{4} }}[/tex]
Step-by-step explanation:
The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The line passes through (3,14) and (7,9). Therefore,
[tex]x_1=3 \\y_1=14 \\x_2=7 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m= \frac{9-14}{7-3}[/tex]
Solve the numerator.
[tex]m=\frac{-5}{7-3}[/tex]
Solve the denominator.
[tex]m= \frac{-5}{4}[/tex]
This fraction is reduced, so it is the answer.
The slope is equal to -5/4
13
Aisha had both chocolate cake and coconut cake at her birthday party. There were 50 people
at the party, and 90% of them picked chocolate cake. How many people picked chocolate
cake? *
(1 Point)
45
35
0 25
40
Answer:
45
Step-by-step explanation:
90% of them picked chocolate cake
then
90% * 50 ( total number of people in the party ) = 45
Which equation yields the solutions x=−2 and x=−10?
Options:
A. −x2−2x+35=0
B. 5x2+40x+60=0
C. −4x2+24x−20=0
D. x2+12x+20=0
Answer: its not B
sorry it only let me choose once ttm2021
7. Find the measure of each
marted angle
Answer:
X=7 TRY THAT
Step-by-step explanation:
please help me!!!!! I don't know how to do this
Answer:
1. y = 0
2. x = -5
3. x = 10
4. y = -12
What is 2/3 as a decimal please show steps on how you got there
Answer:
2/3 as a decimal is 0.67 rounded otherwise it is 0.6 recurring
Step-by-step explanation:
Many calculators round the digit up so they dont repeat forever.
Just divide 2 / 3 and that makes 0.6 recurring
3 (2x+8) = 60 x=____
Answer:
x=4/9
Step-by-step explanation:
3(2x+8)=60x
6x+24=60x
6x+24-24=60x-24 -60x
-54x=-24
-54x= -24
x= 4/9
There are 1200 students at silver lake middle school 700 Are eighth graders what percent of the students are in the eighth grade round to the nearest 10th of a percent
One Euro (€) is equivalent to $1.10. A souvenir costing €15 would cost how much in dollars?
Answer:
is 16.5 an answer
Step-by-step explanation:
You would do 1.10 x 15 or just add 1.10 15 times
39 divided ( 2+ 1 ) - 2 x (4 +1 )
Answer: -39/7 or -5.57
Step-by-step explanation:
To do math operations, we should follow the PEDMAS
ParenthesisExponentsDivisionMultiplicationAdditionSubtraction----------------------------------------------------------------------
Given
39/[(2+1)-2×(4+1)]
Simplify numbers in parenthesis
39/(3-2×5)
Do multiplication in parenthesis
39/(3-10)
Do subtraction in parenthesis
39/-7
Do division
-39/7 or -5.57
Hope this helps!! :)
Please let me know if you have any questions
The result of the division of 39 divided ( 2+ 1 ) - 2 x (4 +1 ) is: -39/7 or -5.57
We know that,
To do math operations, we should follow the PEDMAS
Parenthesis
Exponents
Division
Multiplication
Addition
Subtraction
Here, we have,
Given
39/[(2+1)-2×(4+1)]
Simplify numbers in parenthesis
39/(3-2×5)
Do multiplication in parenthesis
39/(3-10)
Do subtraction in parenthesis
39/-7
Do division
-39/7 or -5.57
To learn more on division click:
brainly.com/question/21416852
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graph each transformation, g(x), and write the equation for the transformed function
Answer:
Step-by-step explanation:
f(x) = [tex]3^{x}[/tex]
g(x) = [tex]3^{x-1}[/tex]
Bryan bought a canvas for an art project. The canvas has 2 pairs of parallel sides and 4 right angles.The sides are not all of equal length. Which shape is the canvas?
Given:
The canvas has 2 pairs of parallel sides and 4 right angles.
The sides are not all of equal length.
To find:
The shape of the canvas.
Solution:
Rectangle: A rectangle is a quadrilateral whose opposite sides are parallel and equal. All the interior angles of a rectangle are right angles.
Note: All sides of a rectangle are not equal. If they are equal then it is known as square.
It is given that the canvas has 2 pairs of parallel sides and 4 right angles. The sides are not all of equal length.
Therefore, the shape of the canvas is a rectangle.
HELP ASAP
Create a List, Table or tree
After a price increase of 20% the cost of entry to a museum rose to $25.80.
Find the original price.
-------------------------------------------- Please help and explain how to do this equation. Tia
Answer:
$20.64
Step-by-step explanation:
0.20x25.80=5.16
25.80-5.16=20.64
The original price to get entry to a museum is $20.64 .
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let call 'a' be the original price.
if it rose of 20 % , it's mean that it will multiplicate by 0.20
0.20 x 25.80=5.16
a = 25.80 - 5.16=20.64
Learn more about the unitary method;
https://brainly.com/question/23423168
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