10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Let x represent the total amount of paint.
(1/2)x + (4/5)x = 26
1.3x = 26
x = 20
Therefore:
Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons
Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
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A town’s population increased from 25200 to 26460. Find the percent of increase.
Answer:
5%
Step-by-step explanation:
Based on the given conditions, formulate: (26460-25200)÷25200
Calculate the sum or difference: 1260/25200
Cross out the common factor: 1/20
Multiply a number to both the numerator and the denominator: 1/20 * 5/5
Write as a single fraction: 5/20*5
Calculate the product or quotient: 5/100
Rewrite a fraction with denominator equals 100 to a percentage: 5%
The graph shows a proportional relationship. Which equation matches the
graph?
A. y = 1/7 x
B. y = 14x
c. y = 7x
D.y = x
Answer:
The answer is C.
Just trust me.
reasking the answer for this one, solve for x please and thank you. click on file
Answer:
44
Step-by-step explanation:
A circle is 360 degrees.
145 +136 + 35= 316
360-316= 44
44 Degrees
A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?
3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.
Answer:
0.75 And 75%
Step-by-step explanation:
If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4
please help me if you can
How do you write 750% as a fraction or mixed number
Answer:
750/100 or 7 1/2 whichever way u need
Step-by-step explanation:
Hello, thanks for the fast reply! I was trying to make sense of the following equation:
Answer:
[tex]15\sqrt{3}[/tex] inches
Step-by-step explanation:
[tex]2\sqrt{12} +2\sqrt{27} +\sqrt{12}+3\sqrt{3}[/tex]
[tex]2\sqrt{4*3} +2\sqrt{9*3} +\sqrt{4*3} +3\sqrt{3}[/tex]
[tex]4\sqrt{3} +6\sqrt{3} +2\sqrt{3} +3\sqrt{3}[/tex]
[tex]15\sqrt{3}[/tex] inches
Hope this helps!
consider the equation n=2/5m-30 for what value of m is n equal to 50?
Answer:
m = 200
Step-by-step explanation:
Substitute n = 50 in the equation
n = 2/5m - 30
50 = 2/5m - 30
50 + 30 = 2/5m
80 = 2/5m
m = 80 ÷ 2/5
m = 200
Find 110% of 80 by writing the percent as a fraction
Answer:
[tex]\frac{80}{100}[/tex] i think its 80 or 88
Step-by-step explanation:
so sorry if this is wrong
Answer:
88
Step-by-step explanation:
x / 80 = 110 / 100
Cross multiply
80 * 110 = 100x
8800 = 100x
Divide both sides by 100
88 = x
You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a
Answer:
15 batteries
Step-by-step explanation:
a. We have
5 batteries = 3 days
5 batteries/3 days = 1
5 batteries/3 days
we need to convert this to 9 days, so
x amount of batteries = 9 days
x batteries / 9 days = 1
5 batteries / 3 days = x batteries / 9 days
b.
5 batteries / 3 days = x batteries / 9 days
multiply both sides by 9 days to get rid of the denominators as well as the days variable
5 batteries * 9 days / 3 days = x batteries
5 batteries * 3 = x batteries
15 batteries = x batteries
x = 15
The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let x be number of batteries required for 9 days trip.
a) So, the proportion is
3 : 5 :: 9 : x
b) Solve for x, that is
3x=45
⇒ x=15
Therefore, the number of batteries required for 9 days trip is 15.
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It takes 2 ½ spoons of chocolate to make ⅗ gallon of chocolate milk. How many spoons of chocolate would it take to make 1 gallon of chocolate milk?
Answer:
5 spoons
Step-by-step explanation:
2 1/2 +2 1/2=5
so the answer would be: it takes 5 spoons to make a gallon of chocolate milk
On September 1, you own 12.5 shares of stock that are worth $149.87. On
December 1, the shares are worth $94.87. What was the change in the price per
share of stock?
The required change in the price of the share of stock is $4.4.
Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4
Thus, the required change in the price of the share of stock is $4.4.
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I need help with this question
Answer:
2√14m
Step-by-step explanation:
Hypothenus = 9m
Second side = x
third side = 5m
Using Pythagoras theorem
9² = x² + 5²
81 = x² + 25
x² = 81 - 25
x² = 56
x = √56
= √4 × √ 14
= 2√14m
In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?
_______% of the people surveyed were satisfied with the car. (Type a whole number
Answer:
30%
Step-by-step explanation:
[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]
Answer:
30%
Step-by-step explanation:
given
Total:3400
satisfied people:1020
we know that,
percent of satisfied:3400/1020x100%
=30%
The linear parent function, f(x) = x, was transformed to create a graph g(x) = f(x + 4).
Which statement about the graphs is true?
O The graph of fis steeper than the graph of g.
O The graph of fis shifted 4 units left to create the graph of g.
O The graph of fis less steep than the graph of g.
O The graph of fis shifted 4 units right to create the graph of g.
Answer:
2nd option
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
g(x) = f(x + 4)
Is the graph of f(x) shifted 4 units to the left
Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286
Answer:
154
Step-by-step explanation:
42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.
Please like and thank, hope this helps.
The number of customers that would shop for children's shoes during an average month is 154.
Number of randomly selected customers = 120
Number of customers willing to shop for children's shoes = 42
42 is what percentage of 120?As we know that percentage is the value per hundred.
So, (42/120) *100 = 35%
So, 42 is 35% of 120.
This means that 35% of customers are willing to shop for children's shoes.
Average customers per month = 440
35% of 440 = (35*440)*100
35% of 440 =154
So, the number of customers that would shop for children's shoes
during an average month =154.
Therefore, the number of customers that would shop for children's shoes during an average month is 154.
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If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?
Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!
Answer:
option A
Step-by-step explanation:
The given Series:
10,14,18,22,26... is an Arithmetic Progression.
Concept:
The difference between consecutive numbers always remains the same.
For instance:
14 - 10 = 18 - 14 = 22 - 18 = 4
This difference is known as the common difference.
In an A.P., the nth (an) term of a series can be found out by:
[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]
Here,
an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]
Soltution:
The first term of the given Series is 10.
==> a1 = 10
Finding an:
the nth term will be:
an = 10 + (n - 1)4
==> 10 + 4n - 4
==> 6 + 4n
Strategy:
All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).
Finding a(n-1):
==> a(n-1) = 10 + ((n - 1) -1)4
= 10 + (n- 2)4
= 10 + 4n - 8
= 4n + 2
Subtracting a(n-1) from an:
==> an - a(n-1) = 6 + 4n - (4n + 2)
==> an - a(n-1) = 6 + 4n - 4n - 2
==> an - a(n-1) = 4
==> an = 4 + a(n-1)
Hence, option A is the answer.
Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98
Answer:
B.68
Step-by-step explanation:
divide using polynomial long division
My I please have some help
Simplify (89^6 x 91^3)^0
1
(89^6 x 91^3)
0
(89^7 x 91^4)
Answer:
Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.
Step-by-step explanation:
Lucy bought a desk on sale for $883. This price was 15% less than the original price.
the answer to the question is 898$
Find the value of x in the triangle shown below.
Answer:
u did a lot of this budy a lot of these
Step-by-step explanation:
Need to review this problem for finals help pls
Answer:
Step-by-step explanation:
Slope form: y=mx+b
given slope and x intercept:
y=3x+b
let y=0
0=3(7)+b
b=-21
so:
ANSWER: y=3x-21
which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2
Write an equation of a line which has a slope of -2 and goes through the point (-4,11)
Answer:
See answers below
Step-by-step explanation:
slope-intercept form- y=-2x+3
point slope form- y-11=-2(x+4)
Use the given slope and point to substitute into the point-slope formula
then you can solve for y=mx+b
Which statement is necessarily true if is an altitude to the hypotenuse of right ?
Step-by-step explanation:
it's b
i relly don't know cause theres no image
here is the next question jj
Answer:
3.7 and east.
Step-by-step explanation:
Answer:
3.7 and east
Hope this helps! Good luck!! :)
merry christmas! my teachers gave me work. ill be happy if u help
-424 +122-72+2
Jason tried to find an expression equivalent to the rational expression
by using
202+1
polynomial long division. His work is shown below.
- 2x + 7x
2x + 1) - 4x4 + 12x3 - 7x + 2
-(-4x4 - 2x2)
14x - 7x + 2
- (14x3 + 7x)
-14x + 2
Jason concluded that -202 + 7+ +
-142+2
was equivalent to the rational expression. Jason's
2x+1
conclusion is incorrect.
O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2
He made a mistake by multiplying 2x² + 1 by 2x2
O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2
O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1
+
Need help understanding this ?
Answer:
The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem. The sum of what was written is -372. There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.
Step-by-step explanation:
What does "by using
202+1
polynomial long division." mean??
do the numbers after the x's represent exponents?
e.g.: "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"