Margo has 15 pounds of clay, Tim has 10 pounds of clay, Tray has 13 pounds of clay, Lila has 14 pounds of clay, and Jerry has 13

Answer:

Part a) The fraction of coconut pies among all the baked goods at Laurita’s Bakery is 1/5

Part b) The fraction of angel food cakes among the baked goods at Laurita’s Bakery is 1/15

Step-by-step explanation:

Let

x -----> total baked goods

It is known that

1) 3/5 of the goods are pies while the remainder are cakes

To find the quantity of pies, we multiply the total baked goods by 3/5

The quantity of pies is ----> (3/5)x

To find the number of cakes, we subtract the pies from total baked goods

The number of cakes is -----> x-(3/5)x=(2/5)x

2) 1/3 of the pies consist of coconut

To calculate the number of coconut pies, multiply the pies by 1/3

The number of coconut pies is -----> (3/5)x(1/3)=(3/15)x=(1/5)x

3) 1/6 of the cakes are angel food

To calculate the number of angel food cakes, multiply the cakes by 1/6

The number of angel food cakes is -----> (2/5)x(1/6)=(2/30)x=(1/15)x

Part a) What fraction of all of Laurita’s Bakery baked goods are coconut pies?

It is known that

The amount of coconut pies is (1/5)x (refer to Part 2)

To determine the fraction, divide the coconut pies by the total baked goods

consequently

The fraction of all baked goods at Laurita’s Bakery that are coconut pies is 1/5

Part b) What fraction of all of Laurita’s Bakery baked goods are angel food cakes?

It is known that

The total number of angel food cakes is (1/15)x (refer to Part 3)

To find the fraction, divide the number of angel food cakes by the total baked goods

therefore

The fraction of all baked goods at Laurita’s Bakery that are angel food cakes is 1/15

Answer:

The correct options are A and E.

Step-by-step explanation:

We are presented with two congruent triangles.

When two triangles are congruent, their corresponding sides and angles are identical.

In ΔTUV ≅ ΔWXY

We can now list all matching sides and angles:

• ∠T=∠W
• ∠U=∠X
• ∠V=∠Y
• TU≅WX
• UV≅XY
• TV≅WY

Next, we evaluate all the provided options.

∠Y=∠V (TRUE, as this is a corresponding part of the congruent triangles)

∠W=∠T (TRUE, as this also refers to a corresponding part of the congruent triangles)

Thus, A and E are the correct options.

Options:
(7, 44)
(8, 48)
(9, 52)
(12, 74)
<span>(13, 78)

r = 6t 
(7,44): r = 6(7) = 42 is incorrect 
(8,48): r = 6(8) = 48 is the CORRECT answer
(9,52): r = 6(9) = 54 is incorrect
(12,74): r = 6(12) = 72 is incorrect
(13,78): r = 6(13) = 78 is the CORRECT answer

The coordinates on the line produced are (8,48) and (13,78)</span>

Answer:

A total of 200 students were present at the basketball game

Step-by-step explanation:

Refer to the full question shown in the attached figure

Let

x be the total number of fourth graders

y represent the total attendees at the game

It is known that

The number of game attendees is four times the number of fourth graders

Thus

The linear expression is

-----> equation A

-----> equation B

Replace equation B into equation A and solve for y

Therefore

200 students were present at the basketball event

Answer:

(B) 0.2843

Step-by-step explanation:

Let d represent the difference in proportions between Country X and Country Y for adults who first married from ages 18 to 32.

The hypotheses can be stated as

: d=0.15

: d<0.15

The test statistic can be computed with the formula

where

• p1 corresponds to the sample proportion from Country X (0.36)

• p2 corresponds to the sample proportion from Country Y (0.26)

• p indicates the pooled proportion of p1 and p2 ()

• n1 is the sample size from Country X (60)

• n2 is the sample size from Country Y (50)

Thus, is approximately 0.5646

The p-value for this test statistic is approximately 0.2843

The p-value indicates the likelihood that the difference in proportions between a random sample of 60 adults from Country X and a sample of 50 adults from Country Y who were first married at ages 18 to 32 is at least 0.15.