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
What is the app, oximate value of 8
to the nearest tenth?
Answer:
10
Step-by-step explanation:
All other tens values are too far
Answer:
10
Step-by-step explanation:
When you were born, your grandma put $308 into a bank account for you to have when you turn sixteen. She has specific directions that you must follow in order to access the money. Starting on your 16th birthday, you must withdraw (take out) $14 a week for ‘fun money.’
a. Write an equation to represent this situation.
b. When will you run out of money? Show all of your work for calculating this problem and don’t forget to include your units!
c. Find the domain & range of this problem in the real-world context.
Answer:
$308 - 14r
Number of weeks = 22 weeks
Step-by-step explanation:
Given that:
Amount kept in bank = $308; which should be withdrawn weekly at $14 per week
Total amount in bank - weekly withdrawal * number rof weeks
Let number of weeks = r
$308 - 14r
When will the money run out
$308 - 14r = 0
-14r = - 308
Divide through by 14
14r/13 = 308/14
r = 22
Tne entire money can be withdrawn for 22 weeks at $14 per week without any leftover.
A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?
Answer:
1.91666667
Step-by-step explanation:
7 times 3/4 = 5.25
5.25 - 3 1/3 = 1.91666667
Expand & simplify 3(y+5)-5(y-3)
Answer:
-2y + 30
Step-by-step explanation:
3(y+5)-5(y-3)
Distribute
3y+15 -5y +15
Combine like terms
-2y + 30
What integer divided by -5 equals -6?
-30
24
-24
30
Answer:
30
Step-by-step explanation:
30/-5=-6
due to integer rules the number would be negative
Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!
Answer:
line A is steeper.
Line A´s slope is 1, while line d´s slope is 2/5
Let p = 5 - 2i and q = -3 + 7i
Write the expression in the form a + bi
p +9
Can someone please help me
Answer:
x, 4 y, 3, z2
Step-by-step explanation:
-4x-2y = -6
a. y = -2x + 3
b. y = 2x - 3
C. y = 2x + 3
d. y=-2x - 3
Answer:
B
Step-by-step explanation:
y = 2x - 3
.....20 characters smh
[tex]80 = 6400 \div [/tex]
plssss I need help
I need help asap please
Answer:
(E) if im wrong don't sew meh
Step-by-step explanation:
Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?
Given:
Jack's plan charges a fee of $24 plus $0.08 per minute he talks.
Jill's plan charges a fee of $10 plus $0.15 per minute she talks.
To find:
The equation which is used to determine when Jack and Jill's plans will be the same.
Solution:
Let t be time in minutes.
Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is
[tex]f(t)=24+0.08t[/tex]
Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is
[tex]g(t)=10+0.15t[/tex]
Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].
[tex]24+0.08t=10+0.15t[/tex]
Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].
Please help This is due today help please ASAP
Answer:
6:05 PM
Step-by-step explanation:
Answer:
6:05 P. M.
Step-by-step explanation:
3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.
Which shows the scale factor used to dilate triangle XYZ to form triangle X'Y'Z'?
A( 1/2 x, 1/2 y)
B (1/3 x, 1/3 y)
Answer:
B
Step-by-step explanation:
A is wrong lol, trust me.
Write 73.5 as a mixed number.
Cole is making decorated jellybean bags for a party. Each one contains 5/6 pounds of jellybeans. If cole has purchased 1,000 pounds of jellybeans, how many party bags can Cole make?
Answer:
1166 is the answer to your suggestion
0.93=
please explain how you got the answer.
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Answer:
x+2y=-8
Step-by-step explanation:
Slope of given line = 2
Slope of the perpendicular line = -1/2
Equation of perpendicular line is (y-y1)=m(x-x1)
y-(-3)=-1/2(x-(-4))
y+3=-1/2(x+4)
2y+6=-x-2
x+2y=-8
Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use
Pleas help
Answer:
He used 9 rubberbands.
pls give me brainliest if correct.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
36 divided by 1 over 4 equals 9
9+9+9+9=36
1+1+1+1=36
-----------
4 4 4 4
Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.
Answer:
In expanded form:
2^3 = 2 * 2 * 2 = 8
In standard form :
2^3
Step-by-step explanation:
Given the numbers in range (0 to 10)
Write an exponential expression :
Choosing from the range for the Base and the exponent
Base = 2
Exponent = 3
where ; 2 = base. ; 3 = exponent
In expanded form:
2^3 = 2 * 2 * 2 = 8
In standard form :
2^3
Only do 12(I will mark brainlest
Answer:
D
Step-by-step explanation:
None of them show the Unit Rate
Answer:
B because unit rate is for a single unit.
In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.
Answer:
see below
Step-by-step explanation:
The rate of change is
f(x2) - f(x1)
------------------
x2-x1
Since this is a line we can pick any two points on the line, one befre x=1 and one after x=1
Let x=0 and x=2
f(2) - f(0)
-------------
2-0
4-2
-------
2
2/2
1
The rate of change is 1
Calculate the unit rate for each option of Takis, explain which option is better,
and why?
Answer:
they are better because they are cheeper than the other
Which of the following ordered pairs are y-intercepts? Check all that apply
(4,0)
(-1, 1)
(0,0)
(0,-7)
(-2,-2)
(0,-0.25)
A y-intercept is the value at which x = 0.
(4,0) is not a y-intercept because x = 4.
(-1, 1) is not a y-intercept because x = -1.
(0,0) is a y-intercept because x = 0.
(0, -7) is a y-intercept because x = 0.
(-2, 2) is not a y-intercept because x = -2.
(0, -0.25 is a y-intercept because x = 0.
Answer:
here's the answer
Step-by-step explanation:
Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?
Answer:
pft
Step-by-step explanation:
Simplify the expression-2(-9g+4)
Answer:
18g - 8
Step-by-step explanation:
Multiply using the distributive property.
Answer:
18g-8 is the answer
Step-by-step explanation:
You have to do distributive property, which you do -2 by -9g which end sup in a positive 18g,then you multiply -2 and 4, the result is and -8. - by + is -. + by - is -. + by + is +, - by - is +
Answer the following above:
Answer:
0.8333 as a decimal or [tex]\frac{5}{6}[/tex] as a fraction.
Step-by-step explanation:
First, you would divide -5/8 and -3/4 in the parenthesis. Right after, you would divide the numbers you have in the parenthesis and you would end up with 0.8333 or [tex]\frac{5}{6}[/tex] both are equal.
Add -7d - 3 and 10d - 6. Show all steps.
Answer:
[tex]3d - 9[/tex]
Step-by-step explanation:
[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]
what is the slope (m) and the y-intercept (b) for y = 4x -8 *
y=-4x-8
To find x-intercept / zero , substitute y=0
0=4x-8
Move Variable to the left-hand side and change its sign
-4x=-8
Divide both sides of the equation by -4
Answer: x=2
Help please
5w - w/x
When w = 6 and x = 2
Answer:
27
Step-by-step explanation:
5*6=30
6/2=3
30-3=27
[tex]5w - \dfrac{w}{x} [/tex]
Given:w=6
w=6x=2
Solution:Let's put value of w and x
→[tex]5 \times 6 - \dfrac{6}{2} [/tex]
Step 1:
→[tex]30 - 3[/tex]
Step 2:
→[tex]\purple{27✓}[/tex]