1. Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike? Answer:

Answers

Answer 1

Answer:

 

answer

First we need to write system of 2 equations with 2 variables:

x*6 + y*12.5 = 34

x+y = 3.5

for substitution we express one of variables in one of equations and put it in other equation.

x = 3.5-y

(3.5 - y)*6 + 12.5*y = 34

21 - 6y + 12.5y = 34

6.5y = 13

y = 2

x = 3.5 - y = 3.5 - 2 = 1.5

she ran for 1.5 hours and biked for 2 hours.

check:

1.5*6 + 2*12.5 = 9 + 25 = 34 = 34


Related Questions

Help Math HW due at 11:59 PM! What is -18=7y+6?

Answers

Answer:

y=3.4

Step by-step explanation:

-18=y+6

        -6

-24=7y

-24/7=7/7y

y=3.428571

Answer:

y=-4

Step-by-step explanation:

-18=7y+6

-24=7y

y=-24/7(3.428571429)

Which of the following is equivalent to 10,000

30 points so please give right answers

Answers

Answer:

just count the zero A is the answer

Step-by-step explanation:

In a recent year, 27.4% of all registered doctors were female. If there were 55,600 female registered doctors that year, what was the total number of registered doctors?

Answers

Answer:

The total number of registered doctors is 202,920 rounded.

Step-by-step explanation:

Solve for (x) in this equation: 27.4/100 = 55,600/(x)

You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920

To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.


Each container of Twizzlers holds 105 pieces. Each
student will receive 1 Twizzler with their lunch. If
there are 1250 students in the school, how many
containers does the school need to buy for each
student to receive 1 Twizzler?

Answers

Answer:

The school would need to buy 12 containers for each student to receive 1 Twizzler.

Step-by-step explanation:

1250/105 = 11.9 or 12

Change each of the mixed numbers below into a fraction 1 3/8

Answers

Answer:

11/8

Step-by-step explanation:

1 3/8 = 1 + 3/8 = 1/1 + 3/8 = 8/8 + 3/8 = 11/8

A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 972 in3. How big a piece of cardboard is needed? Your answer is:__ in. by___ in.
show your work

Answers

Answer:

24 in by 24 in

Step-by-step explanation:

Height of the box is 3 in, then

area of base is 972/3 = 324 in.

The side of the box base is [tex]\sqrt{324}[/tex] = 18

The side of the square piece of carboard is 18 + 2 x 3 = 24 in.

The ratio of Kelly's money to Vera’s money was 7:3. After Kelly spent $35, she had $9 more than Vera. How much money did each girl have at first?

Answers

The answer is 44 because 35+9=44 and the ratio will now be 7:5

Please answer ( DO NOT GIVE A FILE I WILL REPORT ) . Giving brainliest.

Answers

Answer:

Explanation:

so its referring to perimeter.

you add all values together.

 this would equal 34.995 .

so, its 34.995 meters of fencing.

solve for t: 2-16t=6(-3t+2)

Answers

Answer:

t = 5

Step-by-step explanation:

Just let me know if you want an explanation and I will do it.

Hope this helped. A brainliest would be very much appreciated. (I need 3 brainliest so I can level up) :)

Need help on this question

Answers

Answer:

m < U = 65°

Step-by-step explanation:

Given that m < PTU° = 115°, and that it is a supplement to < UTV, then we can establish that m < UTV = 65° because their angles must add up to 180°.

From this point forward, we'll name < UTV as < T of △VUT.

Now that we have the measure of < T, we can find out the value of the missing angle, < VUT, through the following equation:

180° = m < V° + m < T° + m < U°

180° =  m < 50° + m < 65° +  x

180° =  m < 115° +  x

Subtract m < 115 from both sides to isolate x:

180° -  m < 115° =  m < 115° - m < 115° +  x

65° = x

To verify that we have the correct answer, we'll add up all the measures of the three angles of the triangle to see if it sums up to 180°:

180° = m < V° + m < T° + m < U°

180° = m < 50° + m < 65° + m < 65°

180° = m < 50° + m < 65° + m < 65°

180°  = 180°  (True statement).

Therefore, the measure of the missing angle, < U = 65°

What is the value of y when x = 3 for the line defined by the equation y = -2x + 5?

Answers

Answer:

y=-1

Step-by-step explanation:

Plug in the value of x:   y=-2(3)+5

Multiply:   y=-6+5

Add:   y=-1

PLEASE HELP ITS MATH THANK YOU

Answers

Answer:

he needs 91 packets of seeds

Step-by-step explanation:

5214 divided by 66 gets 79 and then do 7189 divided by 79 to get 91

Solve for z

Please help me, thank u!!!

Answers

-3.6

Step-by-step explanation:

z/(-2) + -5 = -3.2 → times -2

z + 10 = 6.4

z = 6.4 - 10

z = -3.6

What time is 13 hours past 1:00 am

Answers

Answer:

2 pm

Step-by-step explanation:

Answer:

I'm guessing it's 1:00pm? Or 2, not really sure, sorry

-3(w+4)=4w-5
solve for w

Answers

Answer:

W = -1

Step-by-step explanation:

a teacher has 7 pack of 12 pencils and 2 packs of 54 pencils.the teacher shares these pencils out into 8 pencil pot.how many pencils with be in each pot?

Answers

Answer:

24

Step-by-step explanation:

(7*12)+(2*54)=
84+108=192

192/8= 24

Each pot should have 24 pencils.


Pls mark brainliest :)

Order of operations
7 x 18 - 4 + 14

Answers

Answer:

136

Step-by-step explanation:

(7×18−4)+14

   (126−4)+14

       122+14

           136

Write the following decimals and fractions from LEAST
TO GREATEST
.0.5, 0.9375,
11
12
1

Answers

0.9375, 0.5, 1, 11, 12

Which statement is true?

Please help me

Answers

Answer:

13/14 = 168/182

Step-by-step explanation:

Write the recursive and explicit formula for the following sequence: -3, -1, 1, 3, …

Answers

It would be +2 so -3+2=-1, -1+2=1, 1+2=3

Solve for c.
-2c + -6 = 2
C =

Help is highly appreciated thank u

Answers

Answer:

c= -4

Step-by-step explanation:

I REALLY NEED HELP PLS.....

Answers

Answer:

The last two.

[tex] - 5x + 3 \: and \: - 2x + 3 - 3x[/tex]

Step-by-step explanation:

Simplify the first set of parentheses to get

[tex] - 5 \frac{1}{3} x[/tex]

Simplify the second set of parentheses by distributing the negative. It will change the signs in the parentheses.

[tex] \frac{1}{3} x + 3[/tex]

Add (really subtract since the signs are different) the like terms.

[tex] - 5x + 3[/tex]

Whats the answer to this question? ( Branliest )

Answers

Answer:

3+jk+k^6

j=2 & k=6

substituting the values, we have

= 3+2(6)+6^3

= 3+12+216

= 231

Ans=231

Step-by-step explanation:

k³+jk+3

j=2 and k=6

Now

(6)³+2(6)+3216+12+3216+15231

.46 as fraction again in simplest

Answers

i think it’s 23/50 i’m not sure

-8-(-10)= -8 and if u add +10 what is the answer?

Answers

Answer:

8-(-10)=-8+10=8 your answer is 8

Step-by-step explanation: sorry if its incorrect

What is the graph of y <= 5x + 2?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The graph for the given inequality will be A

[tex]y \leqslant 5x + 2[/tex]

I think it’s b not really sure

Which of the following equations represents a linear function?
A) 2x - 4y = 6
B) 3x3- y= -2
C) y=√4x
D) y = 6/x

Answers

Answer:

Step-by-step explanation:

ANSWER: Linear

Proof/Explaing

Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply.
A. One pound of pistachios plus 1 pound of almonds cost $20.
B. The pistachios cost twice as much per pound as the almonds.
C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.
D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48.
E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.

Answers

The options that are true include:

A. One pound of pistachios plus 1 pound of almonds cost $20.

C. Reducing the number of pounds of almonds by 1 results in a total cost of $40.

E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.

Cost of almond = a

Cost of pistachios = a + 4

Therefore, based on the information given, the equation to solve the question will be:

2(a + 4) + 3a = 48

Collect like terms

2a + 8 + 3a = 48

5a = 48 - 8

5a = 40

a = 40/5

a = 8

Almonds cost $8

Pistachios cost $12

In conclusion, the correct options are A, C, and E.

Read related link on:

https://brainly.com/question/24429956

Please help me with this i will give you brainlesist

Answers

Answer: 4

pls give brainliest

Why was Yellowstone National Park created?
A. to set aside land for animals as more people moved west
B. to protect bears from humans and other predators
C. to keep different types of animals together in one place
D. to stop people from moving further west

Answers

Answer:

Step-by-step explanation:

The answer is A. to set aside land for animals as more people moved west

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