1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sukhopar [10]
3 years ago
15

1. Suzette ran and biked for a total of 110 mi in 7 h. Her average running speed was 5 mph and her average biking speed was 20 m

ph.
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?
Mathematics
1 answer:
timama [110]3 years ago
7 0

Answer:

Part a) Suzette ran 2 hours

Part b) Suzette biked 5 hours

Step-by-step explanation:

Let

x ------> total hours Suzette ran

y -----> total hours Suzette biked

we  know that

x+y=7

x=7-y -----> equation A

5x+20y=110 -----> equation B

Solve the system by substitution

substitute equation A in equation B and solve for y

5(7-y)+20y=110

35-5y+20y=110

15y=110-35

15y=75

y=5 hours

Find the value of x

x=7-5=2 hours

therefore

Suzette ran 2 hours and biked 5 hours

<u><em>Check your solution</em></u>

Her average running speed was 5 mph

so

Find the distance

Multiply the speed by the number of hours

5(2)=10 miles

Her average biking speed was 20 mph

so

Find the distance

Multiply the speed by the number of hours

20(5)=100 miles

Adds the two distances

10 +100=110 miles ------> is correct

You might be interested in
What is the value of b2 - 4ac for the following equation?<br><br> 2x2 + 3x = -1
andreyandreev [35.5K]
The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.

Start by moving the -1 to the other side, as we need this function to equal zero.

2x^2 + 3x + 1 = 0

This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.

b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1

The value of the discriminant is 1, meaning that two real roots exist for the function described.
7 0
3 years ago
Read 2 more answers
80 Hundreds = ____ Thousandths
allsm [11]
The answer would be 0.8, because 800 hundreds go into 8 thousandths, but there is only 80 hundreds, so the answer is 0.8 thousandths.
Answer: 0.8 thousandths

PLZ MARK MINE THE BRAINLIEST ANSWER!!!
3 0
3 years ago
How do you divide (n^2-n-29)/(n-6) ??
Orlov [11]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Polynomial long division is done the way any long division is done. Find a "partial quotient", subtract from the dividend the product of that partial quotient and the divisor. The result is a new dividend. Repeat until the degree of the dividend is less than that of the divisor.

__

In the attached, the "Hints" show you how the partial quotient is found, and they show you how the product of the partial quotient and divisor is found.

The partial quotient term is simply the ratio of the highest degree terms of dividend and divisor. (Unlike numerical long division, there is no guessing.)

__

The remainder is the dividend of lower degree than the divisor. As in numerical long division, the full quotient expresses the remainder over the divisor.

For example, 5 ÷ 3 = 1 r 2 = 1 + 2/3.

Your full quotient is (n+5) +1/(n-6).

5 0
2 years ago
Priya has a recipe for banana bread. She uses 7 ½ cups of flour to make 3 loaves of banana bread. Andre will follow the same rec
Mnenie [13.5K]

Answer:

Option B)

b = \dfrac{2}{5}f  

Step-by-step explanation:

We are given the following in the question:

Priya uses 7\frac{1}{2} cups of flour to make 3 loaves of banana bread.

Thus, we can write the ration of bread to  amount of flour used as:

\text{Ratio} = \dfrac{3}{7\frac{1}{2}} = \dfrac{3}{\frac{15}{2}} = \dfrac{6}{15}

Now, b loaves of banana bread using f cups of flour.

This measurement will follow the same ratio.

Thus, we can write:

\dfrac{b}{f} = \dfrac{6}{15}\\\\b = \dfrac{2}{5}f

Thus, the correct answer is

Option B)

b = \dfrac{2}{5}f

4 0
3 years ago
The four highest scores at a diving meet were 9.08, 9.1, 9.15, and 9.06 points. Which of 3 of these numbers were the lowest out
julia-pushkina [17]
From lowest to highest:
9.06, 9.08, 9.1, 9.15
3 lowest numbers are 9.06, 9.08, and 9.1
5 0
3 years ago
Read 2 more answers
Other questions:
  • anna is biking at x miles per hour. sara bikes at 10 mi/h. which expression represents the average of anna’s and sara’s speeds?
    13·1 answer
  • 1.A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 t
    15·1 answer
  • Hiy im in kindergaten and i ned help on my homwwork wat is 5pluss7
    12·2 answers
  • Please help will mark brainly!
    7·2 answers
  • Someone please help me with this
    8·1 answer
  • What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?
    13·1 answer
  • Solve 2x +7y = 4 for y
    9·1 answer
  • HELLPPPP PLEASEEE!!
    5·2 answers
  • Find f(x)•g(x)<br><br> pls helpppp
    10·1 answer
  • I need help with this Math question
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!