Unit 4 Mid-Unit Assessment 1 continued
2 Consider APQR
10
Part A
Draw ASTU which is the image of APQR
after a dilation with center (0,0) and
scale factor 3.
4
R
Part B
10
-8
-6
-2
2
6
10
What are the coordinates of the vertices
of ASTU?
Vertex S:
Vertex T:
Vertex U:
10
Part C
How do APQR and ASTU compare? Explain.

Answer:

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Step-by-step explanation:

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

She need 3 pounds of Chocolate chip cookies and Walnuts

Let us represent

Number of bags of chocolate chip cookies = x

Number of bags of walnuts = y

She need 3 pounds of Chocolate chip cookies and Walnuts

Hence,

We have to convert oz (ounces) to pounds

For chocolate chip cookies

1 oz = 0.0625 pound

12 oz = x

Cross Multiply

x = 12 × 0.0625 pound

x = 0.75pound

For Walnuts

1 oz = 0.0625 pound

4 oz = x

Cross Multiply

x = 4 × 0.0625 pound

x = 0.25pound

Hence,

0.75 pound = $3

0.25 pounds = $2

She can only spend $15

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

Hence,

0.75x + 0.25y = 3..... Equation 1

3x + 2y = 15.... Equation 2

Multiply Equation 1 by 2 and Equation 2 by 0.25

1.5x + 0.5y = 3... Equation 3

1.5x + 4y = 30.... Equation 4

Subtract Equation 3 from 4

3.5y = 27

y = 27/3.5

y = 7.7 bags

Solving for x using Equation 2

3x + 2y = 15.... Equation 2

3x + 2(7.7) = 15

3x + 15.4 = 15

3x = 0.4

x = 0.4/3

x = 0.133 bags

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

519.99(.0825) = 42.899

519.99 + 42.899 = $562.89

Answer:

Sales tax---> 553.98 x 0.075= 41.5485

Total---> 553.98 + 41.5485= 595.5285

Round to nearest tenth---> 595.53 is your answer

Answer:

try clicking on another option?

Answer: 5n = 35

Step-by-step explanation:

The product of a number n and the number 5 is 35. This statement can be formed into an equation as:

n × 5 = 35

5n = 35

The equation is 5n = 35

If we want to get the value of the number, it'll be:

5n = 35

n = 35/5

n = 7

The number is 7

Answer:

349 butterflies

Step-by-step explanation:

The formula for Exponential Decay =

y = a(1 - r)^t

Where y = Size of population after time t = ?

a = Initial size of population = 500

r = Decay rate = 5%

t = Time = 7 years

Hence,

y = 500(1 - 0.05)⁷

y = 500(0.95)⁷

y = 349.16864805 butterflies.

Approximately = 349 butterflies

Perimeter of the shape is =sum of all the side

Perimeter =16.2+7.5+18+12+18+7.5

Perimeter =79.2

Perimeter

Answer:

perimeter=12+18+18+7.5+7.5+16.2

=79.2m

Answer:

heyy! im reaaally sorry if its wrong but I think its c, f, d

brainliest? :)

Step-by-step explanation:

Answer:

7= D

8= F

9= C

Step-by-step explanation:

7. x - 3 [tex]\leq[/tex] 7

     +3     +3

x [tex]\leq[/tex] 10

8. 3b < 18

   /3       /3

    b < 6

9. [tex]\frac{y}{3}[/tex] > 9

  *3    *3

 y > 27

10- 12 I am so sorry, but I don't understand these functions lol

Answer:

15x 1y

Step-by-step explanation:

im smart

Answer:

I might be wrong but I think it's 180 millimeters.

Step-by-step explanation:

4cm times 5cm times 9cm = 180 millimeters

1. 4cm times 5cm = 0.002 m^2

2. 0.002 m^2 times 9cm = 180 millimeters

Hopes this helps. If not please tell me. I will try to improve.

Answer:

14boxes

Step-by-step explanation:

Given the following

Length of truck: 3 1/2 yds

Width of truck: 5 yds

Height of truck: 2 1/2 yds

Volume of truck = Length * Width * Height

Volume of truck = 3 1/2 * 5 * 2 1/2

Volume of truck = 7/2 * 5 * 5/2

Volume of truck  = 7/4 cubic yards

For each box

Length L = 1/2 yd

Volume of each box = 1/2 * 1/2 * 1/2

Volume of each box = 1/8 cubic yds

Since 1 box = 1/8 cubic yds

x box = 7/4 cubic yds

Cross multiply

1/8x = 7/4

Cross multiply

4 * x =   7 * 8

4x = 56

x = 56/4

x = 14

Hence the total boxes that can fit in the trunk is 14boxes

Answer:

50 is the sum

Step-by-step explanation:

-10+20=10

10+-40=-30

-30+80=50

-9+9i

Hope this helped :T

Answer:

9 units

Step-by-step explanation:

Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]

To find: distance between points [tex](-5,9),\,(4,9)[/tex]

Solution:

According to the distance formula,

Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]

Therefore,

Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]

                                                               [tex]=\sqrt{(9)^2}[/tex]

                                                               [tex]=9[/tex] units

Answer:

your answer will be J. Y=-8

Step-by-step explanation:

Y=mx+b (6, -8)

(-8)= 0(6) +b

(-8)= 0+b

(-8)= b

Y=0(6)-8

y=-8

201.06cm²  

Hope this helps.

EBK THE ANSWER IS Y O U R M O M I S G A Y

6x+30=180

6×=180-30

×=150/6

×=25

6x=6×25=130

Answer:

D

Step-by-step explanation:

Answer:

Perimeter = (16z - 2)

Step-by-step explanation:

Perimeter of a polygon = sum of the lengths of all sides of the polygon

Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)

By adding like terms,

Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)

                                            = 16z - 2

Therefore, expression representing the perimeter of the trapezoid will be,

(16z - 2)

Answer:

88 sq units

Step-by-step explanation:

Area of the rectangle = 14*4= 56 (length*width)

Formula for the area of a Δ = 1/2 * b * h =

1/2 * 8 * 8 =

4*8 = 32

Add:

56+32 = 88

Answer:

the number of orange sodas be 60

Step-by-step explanation:

Let us assume the orange ones be x

And, the cola ones be y

Now according to the question

x + y = 100

y = 100 - x.........(1)

35x + 38y = $3,620........(2)

Now put the value of equation 1 in equation 2

So,

35x + 38(100- x) = 3620

35x + 3800 - 38x = 3620

-3x = -180

x = 60

Hence, the number of orange sodas be 60

Step-by-step explanation:

start with bracket,4 + 8=12

1/2×12=6

Answer:

The answer you have marked is correct

Step-by-step explanation:

The angles added together equal 360

Answer:

1/32

Step-by-step explanation:

You plug 7 for n and solve in calculator.

Answer:

1/128*4= 0.03125

Step-by-step explanation:

We can simplify the formulas to get 1/2^n *4. Substitute 7 for n and you get your answer.

Answer:

Yes

Step-by-step explanation:

Ye yes yes =yes yes hes