Answer:
She started with 484 yarns
Step-by-step explanation:
Given
[tex](x_1,y_1) = (11,352.99)[/tex]
[tex](x_2,y_2) = (30,126.7)[/tex]
Required
Number of yarns she started with
The interpretation of this question is to calculate the y intercept.
We strt by calculating the slope (m)
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
[tex]m = \frac{352.99 - 126.7}{11 - 30}[/tex]
[tex]m = \frac{226.29}{-19}[/tex]
[tex]m = -11.91[/tex]
Next, we calculate the linear equation as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (11,352.99)[/tex]
[tex]m = -11.91[/tex]
[tex]y - 352.99 = -11.91(x - 11)[/tex]
[tex]y - 352.99 = -11.91x + 131.01[/tex]
Make y the subject
[tex]y= -11.91x + 131.01 + 352.99[/tex]
[tex]y= -11.91x +484[/tex]
A linear equation has the form
[tex]y=mx + b[/tex]
Where
[tex]b = y\ intercept[/tex]
By comparison.
[tex]b = 484[/tex]
Hence, she started with 484 yarns
WILL MARK BRAINLIEST !!!
find the indicated value for each of the figures shown or described
Answer:
10. 9
In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.
Therefore,
15^2 = 12^2+x^2
225=144+x^2
81=x^2
x=9
__________________________________________________________
11. x=12
In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:
11+a+b=21
a+b=10
5+5=10
b=5
a=5
The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:
c^2 = a^2+b^2
13^2=5^2+x^2
169=25+x^2
144=x^2
144= 12 x 12
x=12
__________________________________________________________
12.
The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.
c^2 = a^2+b^2
2^2 = (square root of 3)^2+b^2
4=3+b^2
1=b^2
b=1
Step-by-step explanation:
a. (x+2) (x2 +x+2) + 2(x3 + x2)
Answer:
3x³ + 5x² + 4x + 4
Step-by-step explanation:
Given
(x + 2)(x² + x + 2) + 2(x³ + x²)
To expand the product, each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis
= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms
= 3x³ + 5x² + 4x + 4
WILL MARK BRAINLIEST!!!! BRAINLIEST!
Write 206 in base 7
Answer:
104
Step-by-step explanation:
Pls help, The graph of a proportional relationship contains the point (20, 4) .
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y = ?/? x
Answer:
y = 1/5 x
Step-by-step explanation:
Answer:
1
--
5
Step-by-step explanation
Can you give jasmynpurifoy branliest
Can someone solve this problem with work please? :)
-3x + 1 – 3 – 6x what is the awnser
Answer:
-9x-2
Step-by-step explanation:
Answer:
-9x -2
Step-by-step explanation:
-3x + 1 – 3 – 6x
Combine like terms
-3x -6x +1 -3
-9x -2
In Louisville, 40% of the population is female and 60% are males. 36% of Louisville's population is under 18. The ratio of males to females who are under 18 is 2:1. If there are 1,176 males who are under 18, what is the population of females who are over 18.
Answer:
1411 females
Step-by-step explanation:
Given that:
Male population = 60%
Female population = 40%
36% of total population are under 18
Ratio of male to female under 18 = 2 : 1
Males under 18 = 1176
Females over 18 =?
The population of females under 18:
If males under 18 = 1176
Then female under 18 = 1176 / 2 = 588
Hence number of population under 18 = (1176 + 588) = 1764
1764 = 36% of the entire population
Hence, (100 - 36)% = 64% of the entire population are over 18
1764 = 0.36
x = 0.72
x = (0.72 * 1764) / 0.36
x = 3528
Hence, 40% of the population above 18 are female
0.4 * 3528 = 1411.2
= 1411 females are over 18
Complete the ratio table.
9 1
18 2
27 3
36
45 5
Answer:
9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5
Step-by-step explanation:
This is the answer because:
1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.
2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.
Therefore, the answer is 4.
Hope this helps! :D
Find the measure of side JK
Answer:
In ΔIJK, the measure of ∠K=90°, JK = 90 feet, and KI = 54 feet. Find the measure of ∠I to the nearest tenth of a degree.
Step-by-step explanation:
-write each product using an exponent 6 x 6 =
The product is expressed as an exponent as 6 x 6 = 6².
Given data:
To write the product 6 x 6 using an exponent, we can express it as 6².
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
When we multiply a number by itself, we can represent the repeated multiplication using an exponent. In this case, we have 6 multiplied by 6, which is the same as saying 6 raised to the power of 2 (6²).
The exponent 2 indicates that we are multiplying 6 by itself 2 times.
Hence, the product 6 x 6 can be written as 6².
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Graph the linear equation y= -1/2x-1
Answer:
thetht
Step-by-step explanation:jtejr
Jessica is looking at the blueprints for her new apartment. In the blueprints,
the length of the master bedroom is 2.5 inches. What is the actual length of
the master bedroom in feet?
Answer: 20 feet
Step-by-step explanation: you want to do 2.5 x 8
Given 2x (x + 1) - 3 (x + 1), what can be done to simplify for factoring?
A.
Subtract 2x.
B.
Factor out (x+ 1).
C.
Add 3.
D.
Multiply by (x + 1).
Answer:
Im not sure but i think its b
A person walked x feet and half that length again
Answer:
3/2x
Step-by-step explanation:
x feet and half x = x+1/2x or 3/2x
Hope this helps plz hit the crown :D
Which number sentence is true?
A. -1/12 times 6/7 = -1/14
b. -1/12 times (-6/7)= -1/14
c. 1/12 times 6/7 = -1/14
d.1/12 times (-6/7) = 1/14
Answer:
We conclude that:
[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]
Hence, option (A) is true.
Step-by-step explanation:
Let us solve the expression
-1/12 times 6/7 = -1/14Let us solve the L.H.S to check whether it becomes equal to R.H.S
[tex]-\frac{1}{12}\:\times \frac{6}{7}[/tex]
Factor the number: 12=6×2
[tex]-\frac{1}{6\cdot \:2}\cdot \frac{6}{7}[/tex]
Cross - cancel the common factor
[tex]-\frac{1}{2}\cdot \frac{1}{7}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]-\frac{1\cdot \:1}{2\cdot \:7}[/tex]
Multiply the number: 7×2 = 14
[tex]-\frac{1}{14}[/tex]
Therefore, we conclude that:
[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]
Hence, option (A) is true.
Answer:
a
Step-by-step explanation:
4 • (2)3 equals???????
Answer:
24
Step-by-step explanation:
4*6=24
Evaluate this expression when x is 50
-6x+150
Answer:
-150
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
-6x + 150
x = 50
Step 2: Evaluate
Substitute in x: -6(50) + 150Multiply: -300 + 150Add: -150Amitas kitchen is rectangular with an area of 3 3 4 square meters the width of the kitchen is 1 1 2 meters what is the length in meters of amitas kitchen
Answer:
2 1/5 meters
Step-by-step explanation:
Given that:
Area of kitchen = 3 3/4
Width of kitchen = 1 1/2
Length = x
Recall : Area of rectangle = Length * width
Area of kitchen = length * width
3 3/4 = x * 1 1/2
15 / 4 = x * 3/2
x = 15/4 ÷ 3/2
x = 15/4 * 2/3
x = 30/12 = 2 6/30
x = 2 1/5
10000000000000000000x0 + 111111111111111111111111111111111111111111111111111111
Answer:
111111111111111111111111111111111111111111111111111111
Step-by-step explanation:
pleaseee help me answer this!!! it is my last question help!!!
EXPLAIN HOW TO PARTITION SHAPES (sorry for caps lock)
Answer:
Partition shapes is to create equal shares by partitioning one whole area into small same-size areas.
WILL GIVE BRAINLIEST if you spin the following spinners how many outcomes are possible
Answer: 30 OR C
Step-by-step explanation:
if A # B means the same thing as 2 A- B, then 1 # ( (2 # 3 ) # 4) equals:
By definition of #,
2 # 3 = 2•2 - 3 = 4 - 3 = 1
(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2
1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4
The 1 # ( (2 # 3 ) # 4) equals to 4.
Given that,
if A # B means the same thing as 2 A- B.Based on the above information, the calculation is as follows:
By definition of #,
= 2 # 3
= 2(2) - 3
= 4 - 3
= 1
Now
=(2 # 3) # 4
= 1 # 4
= 2(1) - 4
= 2 - 4
= -2
Now
=1 # ((2 # 3) # 4)
= 1 # (-2)
= 2(1) - (-2)
= 2 + 2
= 4
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A school has 1,000 students on Wednesday, 300 students went on a field trip. What percent of students did not go on the field trip?
Answer:
%70
Step-by-step explanation:1,000=%100 300+%30 1000 - 300 = 700 so 700 + %70
12. You are at a carnival and you can spend no more than $15 on games. If you spent $8.75 already, how much money do you have left to spend? Write an inequality and solve.
15-8.75= 7.25
That is the answer
which is a mathematical property shown here
8(x+7)
1 commutative property
2 distributive property
3 identity of addition
Ahmad’s father is 4 times as old as Ahmad. After 5 years, father will be three times as old as Ahmad. Find their present ages
The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
Step-by-step explanation:
Given : Ahmed's father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son.
To Find : Their present age ?
Solution :
Let the Ahmed's age be 'x'.
Ahmed's father is thrice as old as Ahmed.
i.e. Ahmed's father age is '3x'
After 12 years, his age will be twice that of his son.
i.e. 3x+12 = 2(x+12)3x+12=2(x+12)
Solving the equation,
3x+12 = 2x+243x+12=2x+24
x=12x=12
So, Ahmed's age is 12.
Ahmed's father age is 3\times 12=363×12=36
Therefore, The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
There is 3 times in space of 4 times please mark as brainlistIf the price is the same for each yard, how much money would 12 yards of fabric cost? $18.00 $21.00 $24.75 $26.25
Answer:
The answer is $21
Step-by-step explanation:
The amount of money for 12 yards of fabric is $ 21.00
Given data:
To determine the cost of 12 yards of fabric, we can use the information provided in the table. We observe that the cost of fabric increases linearly with the number of yards.
The table shows that 3 yards of fabric cost $5.25. To find the cost per yard, we divide the total cost by the number of yards:
$5.25 / 3 = $1.75
On simplifying the equation:
Now we can use this cost per yard to calculate the cost of 12 yards:
$1.75 × 12 = $21.00
Hence, 12 yards of fabric would cost $21.00.
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The complete question is attached below:
The table below shows the amount of money needed to buy certain amounts of fabric.Fabric Cost
Yards of Fabric
Total
Cost
3
$5.25
6
$10.50
9
$15.75
12
?
If the price is the same for each yard, how much money would 12 yards of fabric cost?
$18.00
$21.00
$24.75
$26.25
Expand and simplify 5(3x+2)-2(4x-1)
Answer:
15x+10-8x+2
7x+12
Step-by-step explanation:
Answer:
7 x + 12
Step-by-step explanation:
Cookies are on sale! Today each cookie costs \$0.75$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you buy 777 of them it will only cost you \$2.80$2.80dollar sign, 2, point, 80!Write an equation to determine the normal price of each cookie
Answer:
The equation to determine the normal price of each cookie is
7(x - 0.75) = 2.80
The normal price of each cookie = $1.15
Step-by-step explanation:
Let us represent the normal price of a cookie as : x
We are told that:
Today each cookie costs \$0.75less than the normal price.
The price of a cookie today is
x - 0.75
Right now if you buy 7 of them it will only cost you \$2.80$
Hence:
7(x - 0.75) = 2.80
Solving for x
7x - 5.25 = 2.80
7x = 2.80 + 5.25
7x = 8.05
x = 8.05/7
x = $1.15
The normal price of each cookie = $1.15
Answer:
$ 1.15
Step-by-step explanation:
7(c-0.75) = 2.80 is the equation
$1.15 is the total for C
I did this khan before and this is correct
Hope this helps!
;)