A car uses 5 gallons of gasoline to travel 97.5 miles. At this rate, how many miles can the car travel using 13 gallons of gasoline?
Answer:
253.5 miles
Step-by-step explanation:
This problem can be solved by using the concept of "ratios" and "proportions."
Step 1: Check for the "known" and "unknown" variables.
The known variables are: 5 gallons, 97.5 miles and 13 gallons while the unknown variable is the "number of miles" the car can travel using 13 gallons.
Step 2: It's time to plug the values into the proportion.
[tex]\frac{5 gallons}{97.5 miles}[/tex] = [tex]\frac{13 gallons}{x miles}[/tex]
Step 3: Solve the proportion.
[tex]\frac{5}{97.5}[/tex] = [tex]\frac{13}{x}[/tex] ⇒ 5x = 1,267.5 ⇒ x = 253.5 miles
A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s2
Find the total distance travelled.
Answer:
80 m
Step-by-step explanation:
From the question;
Initial velocity, u, = 20m/s
Time = 15 s
deceleration= -2.5 m/s² ------negative acceleration
The formula to apply is;
v²=u²+2as
where v is the final velocity = 0m/s and s is the total distance travelled.
Applying the formula as;
v²=u²+2as
0²=20²+ 2*-2.5*s
0=400+ -5s
0=400-5s
5s= 400
s= 400/5 = 80
s= 80 m
The total distance travelled is 80 m.
Evaluate
14
P
- 4 - 2h when p=1 and h=4.
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2
Solve for x. Perimeter = 126 meters
Answer:
image or context?????
Step-by-step explanation:
The circle shown has a radius of 12 mm. What is the circumference of the circle?
Answer:
75.36
Step-by-step explanation:
First you would use the formula [tex]C=2\pi r[/tex] and the fill in your values, 2·3.14·12 and you will get 75.36.
the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches
Answer:
Step-by-step explanation:
-5n-3(n+2)=18
what is n?
Please show all work
Answer:
n=-3
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Look at the angle shown below.
V.
Estimate the measure of the angle.
If A = –2x + 8 and B = 2x – 4, find an expression that equals 2 A + B
in standard form.
Answer:
Answer: -2x+12
Step-by-step explanation:
So, it says the expression equals 2A + B. That means you need to multiply the equation for A by 2 and then add the equation of B to it. The question is asking you to write it in standard form. It would look like this:
2(-2x+8) + 2x-4
-4x+16+2x-4
-2x+12
Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200. Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200. Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200. Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
Answer:
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
Step-by-step explanation:
The model equation is given as:
52(18) + x = 1200
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
52($18) + x = $1200
52(18) + x = $1200
Option a is correct
b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.
x = weekly bonus, hence, we have the equation:
$18 + (x)52 = $1200
Option b is wrong
c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.
This is represented as:
$52 + $18(x) = $1200
Option c is wrong
d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
This is represented as :
$52+ $x + $18 = $1200
Option d is wrong.
Therefore, the correct statement that modelled the equation is option a
Lily loves horses. Recently, a hurricane traveled through an area of Texas were there is a dense population of horses. Lily can get food for the horses for $0.30 per pound and medical supplies for $.40 per pound. An anonymous donor pledged $8,000 to the effort and has offered to send his plane which can hold 20,000 pounds of cargo to transport the food to the relief effort location. Let x = Number of pounds of Horse Food Let y = Number of pounds of Medical Supplies
Step-by-step explanation:
Let x = Number of pounds of Horse Food
Let y = Number of pounds of Medical Supplies
so
0.3x+0.4y=8000----1
x+y=20000-----------2
multiply eqn 2 by 0.3 to eliminate x we have
0.3x+0.4y=8000
0.3x+0.3y=6000
-0+0.1y=2000
0.1y=2000
y=2000/0.1
y= 20000
put y=2000 in eqn 2
x+20000=20000
x=20000-20000
x=0
its quite unfortunate that for her to maximize the opportunity and the money she has to carry 20,000 pounds of only Medical Supplies
To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win?
|x – 645| = 20; maximum guess: 635 beans
|x – 645| = 20; maximum guess: 665 beans
|x – 20| = 645; maximum guess: 635 beans
|x – 20| = 645; maximum guess: 665 beans
Answer:
B
Step-by-step explanation:
Just took the test on edge 2020
The maximum guess that could win is,
⇒ |x - 645| = 20; the maximum guess is 665.
Therefore, Option b is correct.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We have given the information that the jar has to be guessed within 20
So, the total has to be equal to 20.
Hence, the equation which is the required equation to calculate the minimum and maximum number of beans that will win the contest is,
|x - 645| = 20
When we will remove the modulus we will get two values + and -
So, x = 20 + 645 = 665
And x = 20 - 645 = -625
Hence, the maximum guess is 665.
Therefore, Option b is correct.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Determine the measure of ∠Y. images attached
Answer:
The answer is option CStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y
To find the value of ∠Y we use tan
We have
[tex] \tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...[/tex]
We have the final answer as
51.34°Hope this helps you
Answer:
C
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanY = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{25}{20}[/tex] , thus
∠ Y = [tex]tan^{-1}[/tex] ( [tex]\frac{25}{20}[/tex] ) ≈ 51.34° → C
5 + 3 + 52 × 5 − 2 =
Answer:
164 With the parenthesis
266 without parenthesis
Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.
PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34
PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than
the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
What is the interest on $450 loan at 7% for 2 year
Answer:
$63
Step-by-step explanation:
here,
principle=$450
rate=7%
time=2yrs
intrest=?
now,
as, we know,
intrest=(p×t×r)÷100%
intrest=($450×7×2%)÷100%
intrest=$6300÷100
therefore, intrest=$63#
Interest on given principal rate of interest and time is $63.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, principal =$450, rate of interest =7% and time period =2 years.
Now, simple interest = (450×7×2)/100
= 6300/100
= $63
Therefore, interest is $63.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ2
(WILL MARK BRAINLIEST)
The graph of f(x) = 2 + 3 is translated to produce
the graph of g(x) = (x + 2)+ 3. In which direction
was the graph of f translated?
A. up
B. down
C. left
D. right
Answer:
down
Step-by-step explanation:
if bobby was born in 05 how old would he be
Answer:
the answer is 15
Step-by-step explanation:
9.36 divided by 0.52
Answer:
9.36 / 0.52 = 18
Step-by-step explanation:
Divide them.
Can someone help me on these questions for geometry sorry if the quality is bad.
Can someone please help me
Answer:
a. 8
Step-by-step explanation:
brainly wont lemme do nun
Answer:
why tho bro bro
Step-by-step explanation:
why tho bro bro
Find the rate of change
Answer:
6 to 4 or 3 to 2
Step-by-step explanation:
To sove we need to find hypatonuse which you can do by counting across the bottom whichis 4 units and across the top which is 6 units so 6/4 which is 3 to 2 or 6 to 4
Write an equation for the line that passes through the given point and is parallel to the
graph of the given equation. Write your final equation in slope-intercept form.
2. 3x + 4y = 12; (-4,7)
I need help plz and plz explain why plz
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
Answer:
156 minutes
Step-by-step explanation:
2*60=120
.6*60=36
36+120-156
Brainliest Appreciated!
-1/2- + 2 = -x + 7
A. 10
B. 5/2
C. 2/5
D. 20
Answer:
C.5/2
Step-by-step explanation:
-1/2+-2=-x+7 simplify
-5/2=-x+7 subtract 7 from both sides
x=5/2
Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?
Answer:
1 7/12
Step-by-step explanation:
The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12
Answer:37/12
Step-by-step explanation:
1/3+11/4=37/12
what is a frequency table
Answer: its a method or organizing your info while displaying it
Step-by-step explanation:
What is the range of the function shown in this table? х3 4 5 6 y4 4 2 5 A. (3, 4), (4, 4), (5, 2), {6, 5{ B. {3,4,5,6} C. {3, 4} D. {2,4,5}
The answer fam is............ D. {2,4,5}
Simplify 0.05x + 1.02x.
1.07x
1.7
0.17x
Answer:
1.07x
Step-by-step explanation:
Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.
Answer:
It is 1.07x (✿◠‿◠)