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VLD [36.1K]
1 year ago
13

Which statements about the dilation are true? Check all that apply. Triangle X prime Y prime Z prime. Point X prime is 2 units f

rom the center of dilation C and point Z prime is 3 units from the center of dilation. Triangle X Y Z. Point X is 5 units from point C and point Z is 7.5 units from point C. The center of dilation is point C. It is a reduction. It is an enlargement. The scale factor is 2.5. The scale factor is Two-fifths.

Mathematics
1 answer:
noname [10]1 year ago
7 0
<h2>Pls give brainliest.</h2>

Answer:

I only know two right answers.

A: The center of dilation is point C.

C: It is an enlargement.

E: The scale factor is 2/5.

Step-by-step explanation:

These two answers are correct because When you look in the center you see a C.

You tell if it is a reduction because the pre image is small but the image is big.

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A pet store has 15 birds and 75 fish.
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You have a budget of $48. You want to buy fruit and granola bars. Fruit costs $4 per pound, and the granola bars are $1 each. Yo
zzz [600]

1)Define the variables you will use in your model.

Let

x------->total pounds of the fruit

y-------> the total number of granola bars

TC----> total cost

Tf------> total cost of the fruit

Tg----> total cost of the granola bars

2) Write an inequality representing the total cost of your purchase. (3 points)

a. Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in question 1

Tf=4*x

b. Each granola bar costs $1. Write an expression that shows the total cost of the granola bars. Use the variable you identified in question 1.

Tg=1*y--------> Tg=y

c. Combine the expressions from parts a and b to write an expression for the total cost. Then use this expression to write an inequality that compares the total cost with the amount you have to spend.

TC=Tf+Tg

TC=4*x+y

inequality-------> 4x+y \leq 48

3. Write the inequality that models the number of granola bars you need to buy.

You need at least 10 granola bars

so

y\geq 10

4. Describe in words what each of your inequalities means

inequality 1

4x+y \leq 48

the total cost of fruits plus the total cost of granola bars must be less than or equal to 48 dollars

inequality 2

y\geq 10

5. Graph your system of inequalities.

using a graph tool

see the attached figure

6. Identify one point on the graph that represents a viable solution to the problem, and then identify one point that does not represent a viable solution.

Let

A-------> one point on the graph that represents a viable solution

B-------> one point on the graph that does not represent a viable solution

A(4,20)

x=4-------> total pounds of the fruit

y=20------> the total number of granola bars

check point A

substitute the values of x and y in the inequality 1

4x+y \leq 48

4*4+20\leq 48\\ 36\leq 48-------> is ok

substitute the values of x and y in the inequality 2

y\geq 10

20\geq 10--------> is ok

the point A represents a viable solution, because satisfies both inequalities

B(10,30)

x=10-------> total pounds of the fruit

y=30------> the total number of granola bars

check point B

substitute the values of x and y in the inequality 1

4x+y \leq 48

4*10+30\leq 48\\ 70\leq 48-------> is not a viable solution

substitute the values of x and y in the inequality 2

y\geq 10

30\geq 10--------> is ok

the point B is not a viable solution because does not satisfy the inequality 1

3 0
1 year ago
Anne has 24 more cards than Devi.  Anne finds that 3/5 of Devi's cards are equal to 1/2 of her cards.  How many cards does Anne
Sophie [7]
A=24xD
3/5xD=1/2xA
3d/5=12
d=12x5/3
d=20
a=480
8 0
1 year ago
Estimate 58% of 121 by using 10%
kvv77 [185]
58% is about equal to 60%, 10% of 121 is 12.1.
12.1 * 6 = 72.6
To take this further, 58% is 2% less than 60%, or 2 times 1%. 1% of 121 is 1.21.
72.6  - (1.21 * 2) = 72.6 - 2.42 = 70.18
5 0
2 years ago
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