Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:

Joe swam a total of 558 labs at the pool during the summer swam 7 laps each day except the last day he swam fewer laps how many

Natasha_Volkova [10]

Answer:

the number of laps he swam the last day = 5 laps

Step-by-step explanation:

Total swimming = 558 laps

Number of days = 79⁵/₅₅₈ days

Hence the number of laps he swam the last day = 5 laps

8 0

3 years ago

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Hazel knits 5 centimeters of scarf eachnight. After 5 nights of knitting, how manycentimeters of scarf will Hazel have knit into

natta225 [31]

Answer:

Hazel will have knitted 25 centimeters of the scarf

SOLUTION

Problem Statement

We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.

Solution

We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.

Let us count for each night.

Night 1:

Hazel makes 5 centimeters of the scarf.

Night 2:

Hazel makes extra 5 centimeters, which means she has made:

$\begin{gathered} (5+5)\text{centimeters} \\ =10\text{ centimeters} \end{gathered}$

Night 3:

Hazel makes extra 5 centimeters, which means she has made:

$\begin{gathered} (10+5)\text{centimeters} \\ =15\text{ centimeters} \end{gathered}$

NIght 4:

Hazel makes extra 5 centimeters, which means she has made:

$\begin{gathered} (15+5)\text{centimeters} \\ =20\text{ centimeters} \end{gathered}$

NIght 5:

Hazel makes extra 5 centimeters, which means she has made:

$\begin{gathered} (20+5)\text{centimeters} \\ =25\text{ centimeters} \end{gathered}$

Final Answer

Thus, Hazel will have knitted 25 centimeters of the scarf

5 0

1 year ago

If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

VashaNatasha [74]

Answer

$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$

6 0

3 years ago

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Suppose Paul went to the store and bought 4 peaches to add to the basket.Write two new numerical expressions to represent the to

sasho [114]

Answer:

1. n + 4

2. x(n) + 4

Step-by-step explanation:

The two solutions were arrived at based on the following :

1. The total number of fruit, irrespective of the kind or type.

In this case, let the number of fruit be n.

Adding 4 peaches gives: n + 4 fruits.

2. The second expression takes into account the peaches only.

This times around, let the total fruits be n.

The number of peaches in the basket can be given as a fraction. Let the fraction be x

The number of peaches is the fraction of peaches multiplied by the total number of fruit like this: xn

However, 4 peaches are added, therefore, the total number will be xn+4

This figure denotes the number of peaches in the basket.

4 0

3 years ago

The base of the parallelogram, b, can be found by dividing the area by the height.

MaRussiya [10]

The area of a parallelogram is:
A = b * h
Where,
b: base
h: height
Clearing the base we have:
b = A / h
Substituting values we have:
b = (6x2 + x + 3) / 3x
Rewriting we have:
b = 2x + 1 / x + 1/3
Answer:
the length of the base is:
b = 2x + 1 / x + 1/3

7 0

3 years ago

Read 2 more answers