Question 2

Three friends decided to exercise together four times a week to lose fat and increase muscle mass. While all three were healthie

cluponka [151]

Answer:

Lost 6 pounds

Step-by-step explanation:

While all three were healthier after six weeks,

the first friend had lost 5 pounds (this means $-5$ ),
the second friend had gained 3 pounds (this means $+3$ ),
the third friend had lost 4 pounds (this means $-4$ ).

In total, they lost 6 pounds because

$-5+3-4=-2-4=-6$

8 0

4 years ago

Eden and Eva's mom kept track of how much each sister grew every 4 months. Eden grew 1 1/2, 7/8 and 2 inches and Eva grew 1 3/4

Katarina [22]

Answer: B (I think). Explanation: Turn the mixed fractions into improper fractions. Get a common denominator by multiplying the denominator and the numerator by the same number (common denominator is 8), then add the three improper fractions together. Eden grew 35/8 inches and Eva grew 33/8 inches. When we turn them into mixed fractions we will get, (Eden: 4 3/8) and (Eva: 4 1/8). After that, we subtract them both and get 2/8. We know that 1/4 is 2/8 since if we multiply 1/4 by 2 (by the denominator and numerator), we will get 2/8. (Sorry if you still don’t understand).

8 0

3 years ago

Read 2 more answers

Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch

Ivenika [448]

Answer:

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion

Step-by-step explanation:

Given that

Rachel traveled to 5 areas to find number of Buckeye and Monarch butterflies.

Areas Rachel Traveled to = A, B, C, D, E

The table given below shows her findings.

Area Buckeye Monarch

A 15 16

B 27 36

C 12 25

D 24 32

E 44 33

Now lets find the ratio of Buckeye and Monarch Butterflies in these areas

Area A

Buckeye : Monarch = 15:16 = 0.9375

Area B

Buckeye : Monarch = 27:36 = 0.75

Area C

Buckeye : Monarch = 12:25= 0.48

Area D

Buckeye : Monarch = 24:32 = 0.75

Area E

Buckeye : Monarch = 44:33 = 1.334

As we know that if two ratios give same answer after solving the fraction then these ratios are in proportion.

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion.

4 0

3 years ago

Read 2 more answers

I NEEED HELP WITH THIS PROBLEM

ArbitrLikvidat [17]

Answer--[4]

Step-by-step explanation:

Because if the bottom one is 4 yards then the top one needs to be 4 yards.

5 0

2 years ago

Type the correct answer in each box.If matrix C represents (A − B) + A, the value of the entry represented by c41 is and the cor

strojnjashka [21]

Given the matrices A and B:

$\begin{gathered} A=\begin{bmatrix}{-5} & {3} & {8} & {} \\ {3} & {6} & {-5} & {} \\ {5} & {-9} & {0} & {} \\ {7} & {3} & {4} & {}\end{bmatrix} \\ \\ B=\begin{bmatrix}{-7} & {-8} & {-5} & {} \\ {7} & {9} & {2} & {} \\ {2} & {5} & {-7} & {} \\ {2} & {8} & {-7} & {}\end{bmatrix} \end{gathered}$

We know that:

$C=(A-B)+A=2A-B$

Then, using the matrices A and B:

$\begin{gathered} C=2\cdot\begin{bmatrix}{-5} & {3} & {8} & {} \\ {3} & {6} & {-5} & {} \\ {5} & {-9} & {0} & {} \\ {7} & {3} & {4} & {}\end{bmatrix}-\begin{bmatrix}{-7} & {-8} & {-5} & {} \\ {7} & {9} & {2} & {} \\ {2} & {5} & {-7} & {} \\ {2} & {8} & {-7} & {}\end{bmatrix} \\ \\ C=\begin{bmatrix}{-10} & {6} & {16} & {} \\ 6 & {12} & {-10} & {} \\ 10 & {-18} & {0} & {} \\ 14 & 6 & 8 & {}\end{bmatrix}+\begin{bmatrix}{7} & {8} & {5} & {} \\ -{7} & -{9} & -{2} & {} \\ -{2} & {-5} & {7} & {} \\ {-2} & -{8} & {7} & {}\end{bmatrix} \\ \\ \therefore C=\begin{bmatrix}{-3} & 14 & 21 & {} \\ -1 & {3} & {-12} & {} \\ 8 & {-23} & 7 & {} \\ 12 & -2 & 15 & {}\end{bmatrix} \end{gathered}$

And the element C₄₁ (fourth row and first column) is:

$C_{41}=12$

Now, for the matrix (A + B) - A = B:

$B_{41}=2$

3 0

1 year ago