Answer:
The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Step-by-step explanation:
Given
Point A (2, 1)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 2/3 centered at the origin
P(x, y) → P'(2/3x, 2/3y)
Here, P'(2/3, 2/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.Thus,
A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)
Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?
Answer:
Alyssa=225
Eric=680
Step-by-step explanation:
The money Alyssa has $660 and Eric has $245.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Alyssa has $75 less than three times Eric.
Let $x be the money Eric had.
Then Alyssa has 3x-75
Together they have $905.
So, x+3x-75=905
4x=905+75
4x=980
x=980/4
x=$245
Money Alyssa has 3x-75
= 3×245-75
= 735-75
= $660
Therefore, money Alyssa has $660 and Eric has $245.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Someone plz help me plz
Answer:
3(24+56)
Step-by-step explanation:
3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3
3(24+56)
Answer:
3(24 +56)
Step-by-step explanation:
sum of 24 and 56 means addition
3 times the sum means multiplication
the format you'd use in math would be 3(24 +56)
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
Answer:
Options A, B, C and D
Step-by-step explanation:
This question is not complete; here is the complete question.
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
A. 24
B. 36
C. 180
D. 240
E. 1656
Cost of one candy = 69 cents
Since, cost of 24 candies = Cost of one candy × Number of candies
= 69 × 24
For partial product,
69 × 24 = (60 + 9)(20 + 4)
= 60(20 + 4) + 9(20 + 4)
= 60×20 + 60×4 + 9×20 + 9×4
= 1200 + 240 + 180 + 36
= 1656
Therefore, Options A, B, C and D are not possible partial products.
Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
A. $5.21
B. $6.31
C. $16.31
D. $34.79
Answer:
the answer would be A because when u subtract it the answer is $5.21
Which is a graph of the solution of the inequality -5m+10>70
Answer:
solving form; m< -12
Step-by-step explanation:
On a linear graph there would be an open circle on the number -12 and the line would be pointing left
PLEASE HELP ILL GIVE U BRAINLIEST 5 STARS AND A THANK YOUUUU
Answer:
i think it’s 3 because 25 x 12 = 3 for percentages
Step-by-step explanation:
i
Answer:
4%
Step-by-step explanation:
There are 25 squares, so out of 100, each shaded square would be 4/100, and then 4/100 is 4%
1/9x=5
solve for x
please show step by step
Answer:
x=1/45
Step-by-step explanation:
do the inverse
please mark it as brainliest!!<3
In 1990 it would have cost $3.70 to send 13 postcards and 7 letters. It would have cost
$2.65 to send 6 postcards and 7 letters. How much did it cost to send a letter in 1990?
Answer:
$0.37
Step-by-step explanation:
This can be solved by solving a system of linear equations that is shown above.
Help meee please.........
Answer: B
x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right
Basically, the teacher wants a math equation story but I can't think of one.
Answer:
For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped at the store for 2 hours.
Step-by-step explanation:
Find the Values of y
Y ² = 169
Answer:
Y= 13,-13
Step-by-step explanation:
A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^
Answer:
C=0.55M+24.65
Step-by-step explanation:
0.40M+0.15M=0.55M
18.95+5.70=24.65
HELP NEEDED HELP NEEDED!
Answer:
G. 8.625 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of first rectangle:
1.5 × 2.5 = 3.75 ftArea of second rectangle:
1.5 × 2.5 = 3.75 ftArea of triangle:
1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125Put them together:
3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]I hope this helps!
x + y > -3
how do I find the ordered pair and a solution to this inequality
Answer:
x>-3-y
Step-by-step explanation:
subtract y from both sides
Please hurry!
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50
Answer:
B
Step-by-step explanation:
PLEASE HELP FOR NUMBERS 5 AND 6!! Thank you!
Answer:
Step-by-step explanation:
5. y=40x
6. y=2.2x
PLEASE HELP HOW DO I SOLVE THIS?
12 + 7c = 103
Answer:
13
Step-by-step explanation:
7c=103-12
7c=91
c=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
12+7c=103 Equation/Question
Step 2
12+7c=103 Simplify
Step 3
12+7c=103 Subtract 12
7c=91
Step 4
7c=91 Divide both sides
answer
c=13
Hope this helps
In a certain chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it contain?
Answer: 82.3 g
Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol =
direct and inverse variation
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for SOCIAL SECURITY TAX for this pay period was $
Answer:
292.32
Step-by-step explanation:
i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer
how many vowels does Dwayne Johnson have in his name
Answer:
3
Step-by-step explanation:
a, e, and o
Answer:
4 vowels with but he has two o’s
Step-by-step explanation:
A ,y e, o,
The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.
Answer: The length is 15 feet.
Step-by-step explanation:
L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- widthBut, the problem is asking for the length...
L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ftWhich statement about these triangles is true?
i will give brainiest to whom answers correct and the fastest and a thanks
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2
4. An angle is 50° more than its supplement. Find the angles.
Answer:
The angles measure [tex]65[/tex]° and [tex]115[/tex]°.
Step-by-step explanation:
Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for
[tex]x+x+50=180[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+x+50=180[/tex]
[tex]2x+50=180[/tex] (Simplify LHS)
[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]2x=130[/tex] (Simplify)
[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=65[/tex]
Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!
Plz Plz plzzzzzz answer
Answer:
c i think
Step-by-step explanation:
also i like anime to!
Answer:
c I think I might be wrong tho
Can you fill in the chart?
GIVING BRAINLIEST PLEASE HELP
Answer:
The answer is B
Step-by-step explanation:
Answer:
ans is B sorry if it's direct
Times it by 6 and take away 10 and the result is 44
Answer:
(for your second question) 23.69
Step-by-step explanation:
Write the function for the graph.
Answer:
the answer is B
Step-by-step explanation: