Answer:
x = -3
Step-by-step explanation:
3x - 21 = 2x - 24
3x = 2x - 3
x = -3
Answer:
x = 45
Step-by-step explanation:
First, we need to use the distributive property on both sides of the equation. We multiply the number outside of the parentheses by every term inside the parentheses.
3(x - 7) = 2(x - 12)
3x - 21 = 2x - 24
From here, we solve for x.
3x - 21 = 2x - 24
x - 21 = 24 (Subtract 2x from both sides)
x = 45 (Add 21 to both sides)
A long-distance delivery truck averages 8 miles per gallon when the truck is full. The
miles per gallon improves by 20% when the truck is empty. If the truck travels 160 miles
full to deliver its goods, and then travels back 160 miles empty, approximately how many
gallons will the truck use in all?
The gas used by truck is 36.66 mpg.
What is linear equation?When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.
One-variable linear equations and two-variable linear equations exist.
Given
A long-distance delivery truck averages 8 miles per gallon when the truck is full.
The miles per gallon improve by 20% when the truck is empty.
The distance delivery truck averages 8 miles per gallon when full, and the amount of gasoline used (g) is expressed in terms of the number of miles driven ([tex]m_{f}[/tex]).
When the truck is full, the amount of gasoline is shown as,
[tex]m_{f}[/tex] = d/8
given distance is 160 miles
[tex]m_{f}[/tex] = 160/8 = 20 mpg
Then,
The miles per gallon improve by 20% when the truck is empty.
The number of miles driven when empty is represented as,
[tex]m_{e}[/tex] = d/(8 + 1.6)
[tex]m_{e}[/tex] = d/9.6
[tex]m_{e}[/tex] = 160/9.6
[tex]m_{e}[/tex] = 16.66 mpg
total gasoline required = [tex]m_{e}[/tex] + [tex]m_{f}[/tex] = 20 + 16.66 = 36.66 mpg
Hence the total gas used is 36.66 mpg.
Learn more about linear equation;
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Help plzzzzzzzzzzzzzzzz
find the value of d.
1/2d - 5 -1/4d = 10
Taryn buys 8 identical glasses. Her total is $48 before tax. How much did Taryn pay for each pair of glasses?
Answer:
$12 per pair of glass.
$6 per glass.
Step-by-step explanation:
48/8 = 6
A pair is 2, so I multiplied 6 by 2.
6 x 2 = 12
So, Taryn paired $12 per glass.
--
ANSWER: $12 per pair
EXPLANATION: $48 divided by 8 pairs of glasses equals $6 per glasses. So then you multiply 6 by 2 to get the amount per pair.
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help me pleaseeeeeeeeeeeeeeeee
Step-by-step explanation:
-d=0.8-1.5
-d=-0.7
d=0.7
Answer:
d=0.7
Step-by-step explanation:
1.5=d+0.8
d=1.5-0.8
d=0.7
Is 18/5 and 7/2 proportional
Answer:
no its not
Step-by-step explanation:
A soccer tournament was designed with 512 teams where an eighth of the teams were eliminated after each round. Write a function, f(x), that models the number of teams still in the number of teams still in the tournament after x rounds have been played.
Answer:
f
Step-by-step explanation:
fsdsdsdwdd
will mark brainlest if correct! pls help
Answer:
See below.
Step-by-step explanation:
[tex] y_2 = 4x^2 [/tex]
[tex] x = 1 [/tex]
[tex] y_2 = 4(1)^2 = 4 = a [/tex]
a = 4
[tex] y_3 = 4^x [/tex]
[tex] x = 1 [/tex]
[tex] y_3 = 4^1 = 4 = b [/tex]
b = 4
[tex] y_1 = 4x [/tex]
[tex] x = 2 [/tex]
[tex] y_1 = 4(2) = 8 = c [/tex]
c = 8
[tex] y_3 = 4^x [/tex]
[tex] x = 2 [/tex]
[tex] y_3 = 4^2 = 16 = d [/tex]
d = 16
[tex] y_1 = 4x [/tex]
[tex] x = 3 [/tex]
[tex] y_1 = 4(3) = 12 = e [/tex]
e = 12
[tex] y_2 = 4x^2 [/tex]
[tex] x = 3 [/tex]
[tex] y_2 = 4(3)^2 = 36 = f [/tex]
f = 36
[tex] y_3 = 4^x [/tex]
[tex] x = 3 [/tex]
[tex] y_3 = 4^3 = 64 = g [/tex]
g = 64
.7 pls :P need this so I don’t fail math
Answer:
B
Step-by-step explanation:
distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !
5. help me i’ll give you brainliest if u get this right
Answer: D.) 2
Step-by-step explanation:
In a rhombus, all sides are congruent; they have the same lengths (like a square). This means that if this parallelogram was a rhombus, 14 - x and 2x + 8 will have to be equal.
14 - x = 2x + 8
Subtract 2x from both sides
14 - 3x = 8
Subtract 14 from both sides
-3x = -6
Divide both sides by -3
x = 2
The number 160 is increased by 50%. The result is then decreased by 25%. What is the final number?
The final number is what?
Answer:
60
Step-by-step explanation:
50%=.50
160×.50=80
160+80=240
25%=.25
240×.25=60
60 is the final number
5.3 lesson 14 problem set answer
Pls awnser these i dont understand them, like i beg u
Answer:
Step-by-step explanation:
37=-3+5(x+6), Please provide explanation.
Answer:
x=2
Step-by-step explanation:
youd distribute the 5 first so the equation is now
37=-3+5x+30
then group the common terms (-3 and 30 in this case)
37=5x+27
now subtract 27 from both sides to start to isolate 5x
10=5x
divide by 5 to find x
2=x
hope i helped :)
What is 9.545 x 103 in standard notation
Q:
What is 9.687-3.699?
Answer:
5.988
Step-by-step explanation:
_9.687
3.699
=5.988
Determine the value of the variable that makes each equation true.
Answer:
-9
-11
-4
Step-by-step explanation:
what is 15 divided by 58.5
Answer:
0.25641
Step-by-step explanation:
[tex]\frac{15}{58.5} = 0.25641[/tex]
Answer:
its actually 3.9
Step-by-step explanation:
how i know is i put 0.26 didnt work it was a wrong answer
Please help I have 30 mins
Answer: 0.6 in 10 % ; 0.4 in 15 %
Step-by-step explanation:
1. (x*10%) + (y*15%)/ x+y=12%
2. x+y = 1 x= 1-y
(0.1x + 0.15y/ x+y= 12/100) * 100
(10x + 15y/x+y = 12)*(x+y)
10x+15y= 12x + 12y
-2x=-3y
2x = 3y 2(1 - y)= 3y
2-2y=3y 2= 5y
y= 0.4
x= 0.6
Chad complained to his friend that he had five equations to solve for homework. Are all of the homework problems equations? Justify your answer.
Answer:
no , 1 , 3 and 4 are expressions as they don't have an equal sign .
Which table represents a function ?
Answer:
Option A will be your answer
Step-by-step explanation:
hope it helps u
Find the area of the right triangle
Answer:
12 is the area
Step-by-step explanation:
Area is multiplication
2 width
6 length
2 times 6
bag contains 150 jelly beans. Toros reached into the bag 20 times and randomly selected one jelly bean. Each time, he recorded the color of the jelly bean, placed it back in the bag, and then mixed the jelly beans.
The following table represents the number of times Toros chose each color of jelly bean.
Based on these results, what is the probability that the next jelly bean Toros draws out of the bag will be yellow?
find the area of the figure.
Answer:
The are is 136 cm.
Step-by-step explanation:
12 * 8 = 96cm
8 * 4 = 32cm
96 + 32 = 128cm
8 - 4 = 4 / 2 = 2
4 * 2 = 8
128 + 8 = 136cm
plz mark as brainliest if correct!
Answer:
Step-by-step explanation:
12-4=8
area=8×8+(8+4)/2 ×4
=64+6×4
=64+24
=88 cm²
Reread this sentence from paragraph 7. Click on the
definition that gives the correct connotation of the word strove.
Humans had been instrumental in driving George's
subspecies close to extinction and then strove to do
everything thay could to save it.
A) tried for the first time or began an
attempt
B) tried as an experiment or test to
see what would happen
C) tried with great effort against
difficulties
D) tried in an attempt to prove that
something is true
Answer:
tried with great effort against difficulties
Step-by-step explanation:
I got it right.
The definition that gives the correct connotation of the word strove will be tried with great effort against difficulties.
What is the meaning of the word strive?The meaning of the word strive is to make a concerted effort to achieve something or make something happen, especially over a long period of time or in the face of adversity.
Strove is the word used for past incidents. Strive is the present form of the word strove.
The definition that gives the correct annotation of the word strove will be tried with great effort against difficulties.
Hence option C is correct.
To learn more about the strive refer to the link;
https://brainly.com/question/24578751
Lance is drawing a triangle. He draws one side that is 8 inches long and another side that is 5 inches
long. Which one of the following could be the third side?
Answer:
6 inches
Step-by-step explanation:
(8-5)>x>(5+8)
Jackson spends 214 hours painting 212 pictures. He spends the same amount of time painting each picture. How much time, in hours, does Jackson spend painting each picture?
Find the 92nd term of the arithmetic sequence -29, -22, -15, ...
Answer:
608
Step-by-step explanation:
The appropriate general formula here is a(n) = a(1) + (n -1)d, where d is the common difference. Here, d = +7. Thus:
a(92) = -29 + (92-1)(7) = 608
simplify 2 to the power of 4 times 2 to the power of 6
Answer:
1/4
Step-by-step explanation:
=2^4×2^-6
=2^-2
=1/4
Answer:
you add the exponents so youd do 4+6 which is 10. and then 2 to the power of 10 is 1024
Find the value of x.
Your answer
Find the measure of JH.