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:
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
4[3(5+2)]=95-4x3 is this statement true or false
Answer:
TRUEeeee
Step-by-step explanation:
bec. there beetwen have a
Please help I need to pass Mac
help me to answer the question
Leila can ride her bicycle 8 miles in 1 hour.
At this rate, how long will it take Leslie to ride
20 miles?
Answer:
2 hours and 30 minutes
Step-by-step explanation:
20/8 = 2 hours and 30 minutes
Factorise
8f^2 + 7f
plz help! answer will get brainliest!!!
Answer:
f(8f + 7)
Step-by-step explanation:
8f^2 + 7f
= f(8f + 7)
The factor of 8f² + 7f is f(8f + 7).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Given:
An expression,
8f² + 7f.
To find the factor:
8f² + 7f,
= f(8f + 7)
Therefore, f(8f + 7) is the factor.
To learn more about the factorization;
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0.04 kL to g
What is the answer to this
Answer:
40g
Step-by-step explanation:
The answer is 40 gallons
These two are balanced.
True or false? Also I’m sorry ab the photos quality
three numbers that are greater then 200 but lest the 300 that are divisible by 6 and 10
Answer:
260
Step-by-step explanation:
BRAINLIEST PLS
Please help me ASAP!!!!!
Answer:
c and b
Step-by-step explanation:
behdjdurjnrnrjdjdjdi
The length and breadth of the plot in metres are in the ratio 10:3.The perimeter
of the plot is 312 m.
Answer:
I hope this could be of good assistant
Step-by-step explanation:
L:B = 10:3
make L subject of formula
L = 10B/3
perimeter = 312
2( L + B ) = 312
L + B = 312/2
L + B = 156
10B/3 + B = 156
multiply all through by 3
10B + 3B = 156 X 3
10B + 3B = 468
13B = 468
B = 468/13 = 36
B = 36m
L = 10B/3
L = 10 X 36/3
L = 10 X 12 = 120m
L = 120m
Hence if your were asked to find the area
L X B
120 X 36 = 4320m²
All of the following are steps your group should follow to be effective, except: a. Identify and define the problem. b. Analyze the problem. c. Discuss one solution. d. Take action. Please select the best answer from the choices provided A B C D
Answer:
C) Discuss one solution.
Step-by-step explanation:
There could be more than one solution, so it's best to discuss all of the solutions and decide which is best ^^
I also got it right on Edge :)
What is 27% of 61?
Pls help TvT
A square with side length 5.5 mm is increased by a factor of 11. What will be the perimeter of the square after dilation?
22 mm
60.5 mm
242 mm
2,662 mm
Answer:
The perimeter of the square after dilation will be 242 mm
Step-by-step explanation:
[tex]5.5*11 = 66.5\\P = 4s\\P = 4(66.5mm)\\P = 242mm[/tex]
Answer:
its c
Step-by-step explanation:
got it right on edge
Help me please help me help please help
Answer:
3/4
Step-by-step explanation:
its right
Find the equation for the line shown
Answer:
2y-x=0
Step-by-step explanation:
Slope(m)= (5-2)/(10-4)=3/6=1/2
y-intercept(c)=0
y=mx+c
y=1/2*x+0
y=x/2
2y-x=0
The area of a rectangle is 56 cm^2. The side is 7 and its length is 3t-4. Find t.
Step-by-step explanation:
Area of a rectangle= length × width/breadth
7 × 3t-4 = 56 cm^2
3t-4 = 56÷7
3t-4 = 8
3t = 8+4
3t= 12
t = 12/3
t = 4
hope this helps
A flagpole casts a 32 ft. Shadow. A boy who is six feet tall is standing near the flagpole casting a 16 ft. Shadow. How tall is the flagpole?
Answer:
The flagpole is 12 feet
Step-by-step explanation:
The boy's shadow is half of the flagpole's shadow. So the flagpole is 2 times as much as 6 ft because the boy is six feet. 6 x 2 = 12. So the final answer is 12 ft.
Write 41 and 4 as a mixed number
Answer:
Numerator. This is the number above the fraction line. For 41/4, the numerator is 41.
Denominator. This is the number below the fraction line. For 41/4, the denominator is 4.
Improper fraction. This is a fraction where the numerator is greater than the denominator.
Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.
Step-by-step explanation:
What is the volume of a sphere with a radius of 24 units?
A. 92167 units
O B, 230477 unite 3
O c. 18A324 units
D. 13,8247 units
Answer:
18A324 units
Step-by-step explanation:
The volume of a sphere is given by where r is given: The raduis of sphere =24 units
Then the volume of the given sphere will be
Hence, the volume of given sphere
how do i know my answer is reasonable
Trina is making a graph that shows a proportional relationship between the amount of money collected, y, and the number of tickets sold, x. She correctly plots the point (600, 1,950). Which of these statements are true? Select all that are correct.
(The point (140, 455) is on the graph because $455 will be collected if 140 tickets are sold.)
(The constant of proportionality is 600/1,950, which is about 31)
(The point (5,16.25) is not on the graph because it is impossible to sell 16.25 tickets.)
(The point (1,3.25) is on the graph and identifies that the cost for each ticket is $3.25.)
(The point (0,0) is on the graph because 0,0 is on the graph of all proportional relationships.)
Answer:
C, E and D are th correct answers
Answer:
Step-by-step explanation:
If your screen shows the numbers in a different order then it is Adc
Graph the following features: Slope = 3/2 Y-intercept = 5
Which of the following Arrow Diagrams does NOT show a function? Justify your answer.
Answer:
Top right diagram.
Step-by-step explanation:
0 --> 1 and 0 --> -3. 0 is associated with two values, so it is not a function.
2b with a exponent of 3 +5
Answer:
2b[tex]^{8}[/tex]
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.
The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
Let x represent the number of cyclists.
Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
Revenue = 60x + 15000
Also, the cost of the race is $18 per entry, hence:
Cost = 18x
They need to raise at least $57,000, hence:
Profit ≥ 57000
Revenue - Cost ≥ 57000
(60x + 15000) - 18x ≥ 57000
42x ≥ 42000
x ≥ 1000
Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
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Can you solve the problems
Use the given figure to find the length of x. x+14 x 8
A parking lot is 400 yards long and 300 yards wide. If you make it 10 inches long, how wide should it be?
A line has a slope of 53. Which of the following points could this line pass through?
Answer:
Since the slope of the line is reciprocal to the given slope, then the line with a slope of 5/3 passes through the points (5, 7) and (10, 10).
The formula for calculating the slope of a line is expressed as:
We need to get the points that could pass through the line
Looking at the coordinate of option D (5, 7) and (10, 10). Get the slope:
Since the slope of the line is reciprocal to the given slope, then the line with a slope of 5/3 passes through the points (5, 7) and (10, 10).
Step-by-step explanation:
Answer:
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Rewrite 4^-9 using a positive exponent.
Step-by-step explanation:
using a positive exponent
4^-9 = 1/ 4^9
__________
[tex] \: [/tex]
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
Step by step :[tex] {4}^{ - 9} = ...[/tex]
[tex] \longmapsto \frac{1}{ {4}^{9} } [/tex]
[tex] \longmapsto \frac{1}{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4} [/tex]
[tex] \longmapsto \blue{ \frac{1}{262.144}} [/tex]