1) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks.
)) Erin is training for a triathlon and needs to swim a certain distance for today's workout.
If she swims at the rec center pool, she will complete a 239-meter warmup and then swim
laps in a lane that is 32 meters long. If Erin swims at the indoor pool at her gym, she will
complete a 223-meter warmup, plus a main set that consists of 33 meters per lap. If Erin
swims the correct number of laps, she can complete the same distance in either pool. How
many laps will that take? How long will Erin's workout be in total?
Erin swims
meters
laps at either pool, she can complete a total workout of

Answers

Answer 1
this situation can be represented by

y = 33x + 223

y = 32x + 239

I still like substitution, so let’s plug in 33x + 223 into the second equation

33x + 223 = 32x + 239

Move the terms into appropriate sides

33x - 32x = 239 - 223

Combine like terms

x = 16

Then plug in x for any equation

y = 32(16) + 239

y = 751

Erin will have to swim 16 laps for a total of 751 meters

Related Questions

What is 15 with exponent 1/3 in radical form?

Answers

Answer:

[tex]\sqrt[3]{15}[/tex]

Step-by-step explanation:

15^(1/3) in radical form is [tex]\sqrt[3]{15}[/tex]

To express 15^(1/3) in radical form, we have to first understand what radical form is. It is the expression in a form whereby there exists no fraction and or square roots again. And thus, we have to eliminate the power in this question.

15^(1/3) = 15 which when simplified further, we get [tex]\sqrt[3]{15}[/tex]

Have the best day ever! :D

[tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex][tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex]

Answers

Answer:21 :)

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!

Answers

i’m pretty sure it’s b

If Noah has 527,300,000 and Margho has 106,570,000. How much do they have in all?









Can someone help me pls?

Answers

Answer:

633,870,000

Step-by-step explanation:

Add it together either on a calculator of a sheet of paper.

What is the least common denominator of 10/19 and 2/13

Answers

Answer:

Step-by-step explanation:

Step 1 find the least common multiple of lcm of the denominators

A type of bacterium triples in population every hour. Assuming you start with
80 bacteria, the formula that models the number of bacteria at the beginning
of hour nis:
a(n) = 80 • 31-1
How many bacteria will there be at the beginning of hour 5?
A. 19,440
B. 1200
C. 720
D. 6480

Answers

Answer:

Here

Step-by-step explanation:

It is B Because if you do (8 times 3)5 it equals 1200

Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
the function over the interval 1 < x < 7.

Answers

Answer:

4

Step-by-step explanation:

ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1

24/6 = 4

Pls help. The question is on the picture

Answers

Volume of the square part" 20 x 20 x 37 = 14,800 m^3

Volume of a cone ( round part): PI x r^2 x h/3 = 3.14 x 10^2 x 37/3 = 3,872.67 m^3

The1/4 of the circle is inside the square so multiply the volume of the cone by 3/4:

3872.67 x 3/4 = 2904.50m^3

Total volume = 14,800 + 2904.50 = 17,704.50

Round to nearest m = 17,705 m^3

Please use image above ^^​

Answers

Answer:

D or answer choice 4

Step-by-step explanation:

Will give Brainliest. Amoli and Ella are converting measurements between inches and feet. Amoli says that the constant of proportionality is 12. Ella says it is 1/12. Who do you agree with? Explain your thinking.​

Answers

it is 1/12 because you are using inches(which is 1/12 of a foot) and feet, which if it said feet to inches. THEN IT WOUKD BE 12 BUT IT IS 1/12

which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)

Answers

Answer:

D. 2x^3(x-3)/5(x+3)

Step-by-step explanation:

when we simplify it.. we get 2x^3(x-3)/5(x+3).

please help me on my math , I need help :(

Answers

Answer:

ask sombody else

Step-by-step explanation:

guess we dont

Covert fractions into percents

1/8= __

Answers

Answer:

12.5%

Step-by-step explanation:

If 18 plums weigh 54 ounces, then 6 plums weigh how many
ounces?

Answers

Answer:

18

Hope this helps :) Please mark this brainiest?

Step-by-step explanation:

18/6=3

54/3=18

Answer:

18 ounces

Step-by-step explanation:

I think this is right because if you take 18 and divide it by 3 it equals 6 so i divided 54 by 3 and got 18 ounces hope this helps

<3

The sum of 4 consecutive integers is (-28).
Write an equation with these integers equaling (-28).

Answers

Answer:

Step-by-step explanation:

Let the lowest integer be x, then:

x + x + 1 + x + 2 + x + 3 = -28.

Can someone please explain to me how to solve this?
Will give brainly if you answer the question

Answers

Answer:

D.12

Step-by-step explanation:

College brother told me its 12 which is D.

Answer:x=1

Step-by-step explanation:

Classify the triangle by both its
sides and its angles using the
choices provided. Choose all that
apply.
H
th
130°

O isosceles
equilateral
scalene
acute
obtuse
right
equiangular

Answers

Answer:

obtuse isosceles

Step-by-step explanation:

the dashes on the sides show congruency. since two sides have the same number of dashes those two sides are congruent. since the third side has 3 dashes instead of 2, it isn't congruent to the other two meaning the triangle is an isosceles triangle.

since the angle is >90, the triangle is obtuse


35% of a number is what fraction of
that number?

Answers

Answer:

1/2

Step-by-step explanation:

because I just took the test

Answer:

Step-by-step explanation:

35/100 = 7/20

given: AC is parallel to DF, m<1 = m<4
prove: AE is parallel to BF
plz help:(

Answers

Answer:

..

Step-by-step explanation:

Gomenosai

Solve for X. 22 = 10x Simplify your answer as much as possible. x = 음. 6 08 ?​

Answers

Answer:

x=11/5

Step-by-step explanation:

isolate x

22/10 = 10x/10

22/10 = x

simplify

11/5 = x

Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive.

Answers

Answer: Answer below.

Step-by-step explanation:

Because one child was not hungry and the cake was cut into 6 equal pieces, this mean one person got 2/6 or 1/3 of the cake and the rest got 1/6 other than the child who was not hungry. I can't draw this but you want to draw a child with 2 equal slices of the cake, one with no slices, and 4 more with 1/6 slices of the cake. Sorry I couldn't draw it, but hope this helps!

I really need help. Giving brainliest to the real answer. Please my grade closes tomorrow (don’t mind the writing I tried doing it myself)

Answers

Answer:

1. B

2. D

3. E

4. C

5. A

6. F

According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses.

Answers

Testing the hypothesis, it is found that since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.

At the null hypothesis, we test if the proportion is of 23%, that is:

[tex]H_0: p = 0.23[/tex]

At the alternative hypothesis, we test if this proportion is lower than 23%, that is:

[tex]H_1: p < 0.23[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

In this problem, the parameters are: [tex]p = 0.23, n = 1432, \overline{p} = \frac{321}{1432} = 0.2242[/tex]

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.2242 - 0.23}{\sqrt{\frac{0.23(0.77)}{1432}}}[/tex]

[tex]z = -0.52[/tex]

The p-value of the test is the probability of finding a sample proportion of 0.2242 or below, which is the p-value of z = -0.52.

Looking at the z-table, z = -0.52 has a p-value of 0.3015.

Since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.

A similar problem is given at https://brainly.com/question/14639462

E) Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got
the receipt and saw that the tax was $42.42. What was the sales tax rate for this
purchase?

Answers

Translating "The tax is some percent of the phone's price" into an equation, we get:

   42.42 = p · 499

If we divide both sides by 499, we get

   0.085 ≈ p

We can check by finding 8.5% of 499:

   0.085 · 499 = 42.415, which rounds to 42.42

So the tax rate was 8.5%.

50 points for the answers to this question

Answers

Answer:

linear, non linear, non linear, non linear

Linear
Linear
Nonlinear
Linear

Hope this helps

Select the correct answer.
(-1,1)
(0,-1)
(5,-11)
(10,-21)

What is the domain of the set of ordered pairs above?
A.
{-1, 1}
B.
{-1, 0, 5, 10}
C.
{-1, 10}
D.
{1, -1, -11, -21}

Answers

The correct answer is B.

Solve each of the following equations. Show its solution set on a number line. Check your answers. 2|2-x|=-5

Answers

Answer:

Use the distributive property to multiply 2 by x−1.

l2x-2I=11

2x-2=-11

Add 2 to both sides of the equation.

2x=-9

Divide both sides by 2.

x=13/2

That's the final answer

Hope u have a great day!!

A bank pays 5/100 simple interest per annum for deposits $200 in the bank for two years what will be his total amount in the bank at the end of two years​

Answers

Answer: $420

To find the total simple interest over the two years, we first find 5/100 (5%) of 200 which is 10. That’s the interest of 1 year so we multiply that by 2 to get 20 for 2 years. Each year a deposit of $200 is made so over two years $400. $20 add $400 is $420 which is the total.

-(b-z)-(-2b+z)-(-3b-z)

Answers

Step-by-step explanation:

4b + z I think lol I honestly looked it up

A rectangle has vertices at (-2, 1), (3, 1). (3,-2), and (-2,-2).
What is the area of the rectangle?
8 square units
B. 10 square units
O c. 12 square units
O D. 15 square units

Answers

Answer:

C

Step-by-step explanation:

Answer:

D. 15 square units

Step-by-step explanation:

Explanation shown in the screenshots of the graph.

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