Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
when you apply combine like terms to the right side of the equation what do you end up with?
If a = 5x + 8 and d = 62, find the value of x.
Answer:
first if a=d that 62=5x+8
62-8=5x+8-8 ...substract by same number
54=5x ....simplifying
54/5=5x/5 ....divided by two equal part
10.8=x
how many solutions does a quadratic equation that can be written as the difference of squares have?
Answer:
there are teo solutions that can be written as tge difference of square have.
There are two possible solutions for the quadratic equation that can be written as the difference of squares.
What is a quadratic equation?A quadratic equation is of the form -
y = f(x) = ax² + bx + c
Given is a quadratic equation that can be written as the difference of squares.
A quadratic equation that can be written as the difference of squares is of the form -
(x² - a²)
For the roots, we can write the equation as -
(x² - a²) = 0
x² = a²
x = ± a
Therefore, there are two possible solutions for the quadratic equation that can be written as the difference of squares.
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0.39/0.75 as a decimal
Answer:
0.52
Step-by-step explanation:
Divide.
Answer:
0.3333333333333333333333 it non terminating
please help im struggling really bad on this one question.
Answer:
B
Step-by-step explanation:
90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that
Answer:
B
Is going clock wise I dont really know how to explain it
The price of an item has risen to 297 today. Yesterday it was 110 . Find the percentage increase.
Answer:
170
Step-by-step explanation:
original value = 110
final value = 297
the increase is the difference between both values
increase = final value - original value = 297 - 110 = 187
percentage increase = (increase/original value)*100
= (187/110)*100
=170
5y-30=-5y+30 and also can you show the steps :}
5y-30=-5y+30
add 30 to both sides
5y = -5y+60
add 5y to both sides
10y = 60
divide both sides by 10
y = 6
hope this helps!
What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar
Answer:
2.1 * 10 ^3
Step-by-step explanation:
5.67 * 10 ^7 ÷2.7 x 10^4
Divide the numbers
5.67 / 2.7 =2.1
Divide the exponents
10^7 / 10 ^4
Remember when dividing power, we subtract the exponents
10 ^(7-4) = 10^3
Put this back together
2.1 * 10 ^3
Verify that this is in scientific notation
Since this is in scientific notation, we are done
Answer:
2.1x10 to the power of three
Step-by-step explanation:
\frac{5.67\times 10^7}{2.7\times 10^4}
2.7×10
4
5.67×10
7
Divide them.
\frac{5.67}{2.7}\times \frac{10^7}{10^4}
2.7
5.67
×
10
4
10
7
Divide numbers and 10's separeately.
2.1\times 10^3
2.1×10
3
Subtract exponents.
what are the x-intercepts of this graph (show ur work)
Answer:
X intercepts are (-2, 0) and (4,0). it shows on the graph. I wear glasses and I can clearly see. Did u lose ur eyes in iraq or sm????
Step-by-step explanation:
See attachment for math work and answer.
You can also express the x-intercepts as points: (-2, 0) and (4, 0).
Rewrite each as a rational number
2=
3 1/2 =
.035 =
5.67=
Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].
Answer:
ill help
Step-by-step explanation:
What is the equation of the following graph
Answer:
y=1 is the equation! :))
Step-by-step explanation:
When dividing 592 by 9.25, how many zeros will be placed in the dividend?
one
two
three
four
Answer:
Two Zeros
Step-by-step explanation:
59200/925
Which is equal to 64
No doubt, the expeced answer is 2. This is because you would ordinarily change the problem to 59200/925 for long division by hand.
For this quotient, you don't need any, because the quotient is 64, a multiple of 4, so the numbers being subtracted are always integers.
_____
If you were dividing 591 by 9.25, you would need an infinite number of zeros—because the decimal portion of the quotient is a repeating decimal with a period of 3 digits.
Two groups of friends go to a movie. Each ticket costs the same amount. One group spends $57. The other group spends $95. List all possible whole number ticket prices for each group. At most how much does each ticket cost? Suppose a group of 2 friends goes to this movie. At most how much does this group spend?
List all possible whole number ticket prices for the group that spends $57. Select all that apply.
A. $19
B.$1
C. $57
D. $95
E. $3
F. $5
List all possible whole number ticket prices for the group that spends $95. Select all
that apply. A. $3
B. $19
C. $1
D. $57
E. $95
F. $5 At most how much does each ticket cost?
Answer:
1) All possible number tickets for group that spends $57: A, B, C, D
2) All possible number tickets for group that spends $95: B, C, E, F
3) Each ticket will cost at most $19
Step-by-step explanation:
We are told that one group spends $57 dollars while the other group spends $95.
Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket costs.
To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.
57: 1, 3, 19, 57
95: 1, 5, 19, 95
Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.
Thus,each ticket will cost at most $19
find an equation of the line through (4,6) and parallel to y=3x+7
Answer: y = 3x - 6
Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.
What is the greatest common factor (GCF) of 51 and 85? A. 17 B. 3 C. 5 D. 23
Answer:
!7 hope this helps:)
Step-by-step explanation:
Select the correct answer.
To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A.
slope = 850 and y-intercept = 18
B.
slope = 18 and y-intercept = 850
C.
slope = -18 and y-intercept = 850
D.
slope = 850 and y-intercept = -18
Answer:
The answer is C, hope that helps:)
Step-by-step explanation:
In the diagram, which angles from a linear pair ? Select 3 options
look at image..........................
Answer:
8p+25b
Step-by-step explanation:
Answer:
8p+25b
Step-by-step explanation:
You dont know how many of each he bought so you use the variables. so, p-packets b-boxes. You put them in w the numbers, 8p(packets) 25b(boxes)
f(x)=(-3x+2) and g(x)=(2x^2-5x-1)
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
need help with questions................
Answer:
not a function
Step-by-step explanation:
you can not have one-to-many
there is two 3 in the X column
giving brain list ..
options:
C is the midpoint of BD
reflexive property
definition of midpoint
vertical angles
given
Answer:
1. A is congruent to C
2. Given
3. I think line ac is congruent to line ce, don't know the options
4. angle ABC is congruent to angle DCE
5. Possibly vertical angles
Suppose x, y, and z are all rational numbers. Is LaTeX: \frac{z}{\sqrt{x^2-y^2}}z x 2 − y 2 a rational number? Explain your answer.
Answer:
The square root of 2 is not rational, i.e. it is irrational. Explanation: We can think of a rational number as that which can be expressed as a fraction or ratio of two integers. Irrational numbers do not terminate or repeat, and cannot be represented by a finite … Suppose √2 is rational.
Step-by-step explanation:
Need help ASAP!! Will give brainliest
Answer:
yea i know this but imma just give to ya short its A
Step-by-step explanation:
Find a counterexample to show that the given conjecture is false:
The sum of two positive even integers is always an odd integer.
Answer:
20 + 16 = 36
Step-by-step explanation:
The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.
Pick A=20 and B=16, both are positive even integers.
The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.
Counterexample: 20 + 16 = 36
In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.
Other possible counterexamples are:
10 + 8, 700 + 40, 12 + 14, etc.
Shane plans on finding a summer job so he can earn enough money to buy a new laptop that costs $595. He has already saved $150. If Shane
finds a summer job that pays him $7.50 an hour after taxes are withheld, what is the minimum number of hours he will have to work in order to
purchase the laptop?
80
79
60
59
Answer:
59
Step-by-step explanation: x=number of hours
150+7.50x=595
7.50x=595-150
7.50x/7.50=445/7.50
x=59
Leah is an interior designer. She will use the scale drawing shown of two bedrooms and a shared bathroom to create her designs for her client. 25 points please help quick!!!!!
What are the dimensions of the outer rectangle in Leah’s scale drawing?
A. 3 3/8 x 5 5/8
B. 5 5/8 x 9
C. 6 3/4 x 5 5/8
D. 15 x 24
*see attachment for the scale drawing
Answer:
5⅝ in × 9 in
Step-by-step explanation:
Dimensions of the actual length = 15 ft by (9 + 6 + 9) ft
Dimensions of the actual length = 15 by 24 ft = 15 ft × 24 ft
Using the scale given as ⅜ in = 1 ft, let's find the dimensions of Leah's scale drawing of the outer rectangle.
Multiply each dimension in ft by ⅜ to get the dimension of the outer rectangle's scale drawing:
[tex] 15 * \frac{3}{8} = \frac{15*3}{8} = \frac{45}{8} = 5\frac{5}{8} [/tex]
[tex] 24 * \frac{3}{8} = 3 * 3 = 9 in [/tex]
Therefore, the dimensions of the scale drawing of the outer rectangle = 5⅝ in × 9 in
the mean number of goals scored is 2.5.
the mean number of away goals scored is 1.8.
How many home and away games have been played in total?
Answer:
2 games.
Step-by-step explanation:
2.5 + 1.8 = 4
4 divided by 2 = 2
Total 32 games home and away games have been played.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
From the bar chart :
We can obtain the total number of goals scored :
Home goals (quarter 1 to quarter 4) :
= (9 + 6 + 8 + 7)
= 30
Away goals (quarter 1 to quarter 4) :
= (2 + 7 + 4 + 5)
= 18
Using the relation :
Mean goals scored = total goals scored / number of games played
Home games :
Mean goals = 2.5
Number of home games played = total goals scored / mean goals
= 30 / 2.5
= 22
Away games :
Mean goals = 1.8
Number of away games played = 18 / 1.8
= 10
Therefore, number of home and away games played in total = 22 + 10 = 32 games
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Which number line best shows the position of 13?
The area of a square with sides of length s is given by A = s^2. Find the rate of change of the area with respect to s when s = 5 meters.
Answer:
10
Step-by-step explanation:
A = s^2
Differentiate each side with respect to s
dA /ds = 2 s
Let s = 5 meters
dA /ds = 2 *5
dA /ds = 10