Hello please evaluate the expressions when x = 3 & y = 15

Megan and Heidi are making cookies for an upcoming bake sale. Megan is making chocolate chip cookies and Heidi is making sugar c

koban [17]

Answer:

Heidi (260 cookies)

Step-by-step explanation:

Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:

#First calculate Heidi's total number of bags, cookies and cookies:

$H_b=\sum{bags}\\\\=10+12+14+16\\\\=52 \ bags\\\\H_c=\sum{cookies}\\\\=50+60+70+80\\\\=260 \ cookies$

#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:

$H_b=M_B=52 \ Bags\\\\M_c=y=8x, x=52\\\\y=8\times 52\\\\=416\\$

Hence, Megan makes 416 cookies.

#From our calculations:

$416>260\\\\M_c>H_c$

Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.

7 0

3 years ago

Tara wants to weigh her three stuffed animals. They will only fit on the scale two at a time. Together Addie and Missy weight 18

Pepsi [2]

Answer: Addie weighs 4 ounces

Missy weighs 14 ounces

Corky weighs 8 ounces

Step-by-step explanation:

Let a represent the weight of Addie.

Let m represent the weight of Missy.

Let c represent the weight of Corky.

Together Addie and Missy weigh 18 ounces. This means that

a + m = 18 - - - - - - - - - 1

Missy and Corky weigh 22 ounces. This means that

m + c = 22

m = 22 - c - - - - - - - - - - 2

Addie and Corky weigh 12 ounces. This means that

a + c = 12

a = 12 - c - - - - - - - - - - - 3

Substituting equation 2 and equation 3 into equation 1, it becomes

22 - c + 12 - c = 18

34 - 2c = 18

- 2c = 18 - 34 = - 16

c = - 16/ - 2 = 8

Substituting c = 8 into equation 2, it becomes

m = 22 - 8

m = 14

Substituting c = 8 into equation 3, it becomes

a = 12 - 8

a = 4

3 0

3 years ago

Help please explain in detail

yaroslaw [1]

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

=(n + 3)(5n + 8) (Answer)

2. We have to factorize 7x² - 32x + 16

Now, 7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

= 7k (k + 8) + 1 (k + 8)

= (k + 8)(7k + 1) (Answer)

4 0

3 years ago

The cruising speed of a 747 airplane is approximately 9,944 inches per second. What is this speed to the nearest foot per second

sweet [91]

The answer is B. 829 feet per second.

4 0

3 years ago

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If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?

AfilCa [17]

Conditional statement is a statement with a hypotesis and a conclusion:

If $\text{ \underline{ hypothesis } } p$ , then $\text{ \underline { conclusion } } q$ or mathematically $p\rightarrow q$ .

Converse statement of $p\rightarrow q$ is statement $q\rightarrow p$ .

If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse: $\neg p\rightarrow \neg q$ .

Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive: $\neg q\rightarrow \neg p$ .

Then,

Answer: the correct choice is D (the inverse of the original conditional statement).

8 0

3 years ago

Read 2 more answers