Write the sentence as an inequality.
Seven is at most the quotient of a number d and 5.
In the 1980s, the population of Pleasanton decreased by 10%. In the 1990s, its population increased by 30%.
How does the population of Pleasanton at the end of the 1990s compare with its population in 1980?
A) It is 20% higher. B) It is 23% higher. C) It is 40% higher. D) It is 17% higher.
The population of Pleasanton is 17 % higher. (Right choice: D)
According to the statement, the population of Pleasanton is reduced by a factor of 0.9 in the 1980s and increased by a factor of 1.3 in the 1990s. The increase rate is found by means of this formula:
[tex]x =[(0.9)\cdot (1.3)-1]\cdot 100[/tex]
[tex]x = 17\,\%[/tex]
The population of Pleasanton is 17 % higher. (Right choice: D)
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The population of Pleasanton at the end of the 1990s is 17% higher than the population in 1980.
Explanation:To compare the population of Pleasanton in the 1990s with the population in 1980, we need to consider the changes that occurred in each decade. In the 1980s, the population decreased by 10%. This means that if the population in 1980 was represented by 100, it would have decreased to 90 by the end of the decade.
In the 1990s, the population increased by 30%. Using the population of 90 at the beginning of the decade, the population at the end of the 1990s would be 90 + (30% of 90) = 90 + 27 = 117.
So, the population of Pleasanton at the end of the 1990s is 117, which is 17% higher than the population in 1980. Therefore, the correct answer is D) It is 17% higher.
write each fraction or mixed number as a decimal.
1. 7/8 2. 7/15 3. 4 3/25
A referee was standing on a certain yard line as the 1st quarter ended. He walked 41 3/4 yards to a yard line with the same number as the one he just left. How far was the refree from the nearest goal
after a reflection over the line y=x (8,11) is the image of point c. what is the original location of point c
The original location of point C before a reflection over the line y=x, given that the image of point C is at (8,11), would be (11,8) as coordinates are swapped during such a reflection.
Explanation:To determine the original location of point C before a reflection over the line y=x, you would apply a simple transformation rule. For any reflection over the line y=x, the coordinates of a point are swapped. Thus, if the image of point C is at (8,11), the original location of point C would have the x-coordinate as 11 and the y-coordinate as 8.
The step-by-step process to find the original location of point C before the reflection is as follows:
Take the x-coordinate of the image and make it the y-coordinate of the original point.Take the y-coordinate of the image and make it the x-coordinate of the original point.The resulting point is the original location of C before the reflection.Therefore, the original location of point C is (11, 8).
How many one thirds are in 7 halves?
write three equivalent ratios for 10/12
there was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get
Alvin’s family used 20.5 gallons of gas to Drive 492 miles. How many miles did they drive on each gallon of gas
Answer: 24.0
Step-by-step explanation:
divide 492 and 20.5
Write 4,050 in expanded form.
Evaluate b2 − 4ac for a = −3, b = 5, and c = 2.
Elena drove 245 miles last week & 222 miles this week.she estimated that she drove about 475 miles bin both weeks.how did she estimate
Answer:
This estimate is based on the addition of both the miles of both weeks by rounding them off.
Step-by-step explanation:
Elena drove 245 miles last week & 222 miles this week.
She estimated that she drove about 475 miles in both weeks.
This estimate is based on the addition of both the miles of both weeks by rounding them off.
245 is rounded to 250
222 is rounded to 225
Now adding both [tex]250+225=475[/tex] miles.
If the unit selling price is 2.50 and the unit cost is 1.00 what action is needed to maintain the gross margin percentage when unit cost increase 0.25
The original gross margin is (2.50 / 1.00) - 1 = (2.5 - 1) = 1.5 = 150%
the cost increases 0.25, is an increase of (0.25 / 1.00) = 25%
in order to keep the same gross margin, you need to increase the sale price by 25%
2.50*1.25 = 3.125
Then the gross margin is (3.125 / 1.25) - 1 = (2.5 - 1) = 1.5 = 150% ( same as original )
the graphs of two different direct variations can be parallel
g (a) = 4a ; Find g (2a)
How many time can 4 go into 69
The population in the South in 2000was 100,236,820. In 2010 the population increased by 14.3% from 2000. How many people live in the south in 2010
What is 0.1 repeating as a fraction
1/9
Short Cut That My Teacher Taught Me :)
0.1 repeating has 1 digit repeating after the decimal point, so there is one digit in the denominator. Put the repeating digit in the numerator place. That's your answer. You can do the same to any repeating decimal: 2 digits after the point has 99 as the denominator, 3 digits is the repeating number over 99, and so on.
If 2/3 out of 3/3 of the pie is eaten what fraction remains
Given the following system of equations, identify the type of system. x + y = 4 x - y = 6
The following system of equations, x + y = 4 x - y = 6 represents an Independent System.
What is the equation?A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.
When there is only one solution, a set of linear regression is persistent and independent. The diagrams of the platform's lines intersect at precisely one spot if this is the case. If a set of linear equations would have no resolutions, it is inconsistent. There is only one solution pair for an autonomous state (x,y). The sole solution is the intersection of the two lines. A system that is incongruous cannot be fixed.
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PLEASE HELP!
Is it possible for a number to be a rational number that is not an integer but is a whole number? Explain
plz help...A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $115
A)
f(x) = 15x + 25; f(6) = 115
B)
f(x) = 25x + 15; f(6) = 165
C)
f(x) = 15x + 25; f(6) = 125
D)
f(x) = 15x + 25; f(115) = 1750
Jada has 7/8 cup of cheese. Her cheese bread recipe calls for 1/6 cup of cheese. How many times can she make her recipe with the cheese she had?
X+3/6=x-6/3
x plus 3 divided by 6 equals x minus 6 divided by 3 solve for x
A sketch of the line 2y-x=4 is shown.
The line cross with the axes at A and B.
Calculate the coordinates of A and B
Thank you.
a rectangle prism is 4 units high, 2 units wide, and 6 units long. what is its surface area in square units?
Surface area of the rectangle prism is 88 sq. units.
Given:
height of the rectangle prism (h) = 4 units
width of the rectangle prism (w) = 2 units
length of the rectangle prism (l) = 6 units
Recall:
Formula for surface area of a rectangle prism is:
[tex]SA = 2(lw +wh +lh)\\[/tex]
Plug in the values:
[tex]SA = 2(6\times 2 +2\times4 +6\times4)\\SA = 2(12 + 8 + 24)\\SA = 2(44)\\SA = 88[/tex]
Therefore, the surface area of the rectangle prism is 88 sq. units.
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What’s 28.2% of 92
Plz and thank you
The value of given percent 28.2% of 92 is equal to 25.94
To calculate 28.2% of 92, follow these steps:
Convert the percentage to a decimal by dividing it by 100. In this case, 28.2% becomes 0.282 (28.2 ÷ 100 = 0.282).
Multiply the decimal by the number you want to find the percentage of. here, 0.282 multiplied by 92:
0.282 ×92 = 25.944
Round the result to an appropriate number of decimal places. In this case, we'll round it to two decimal places:
28.2% of 92 is approximately 25.94.
Therefore, 28.2 percent of 92 is equal to 25.94.
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line m contains the points with coordinates (-4,1) and (5,8) and line n contains points with coordinates (6,-2) and (10,7) .are the lines parallel,perpendicular,or neither? justify your answer
If a television screen with a length-to-height ratio of 16:9 has an area of 576in, what is it's perimeter?
Final answer:
The perimeter of the television screen is 100 inches.
Explanation:
To determine the perimeter of a television screen with a length-to-height ratio of 16:9 and an area of 576 square inches, we need to find the length and the height of the screen first.
Using the ratio, we let the length be 16x and the height be 9x.
The area of a rectangle is given by its length times its height, so we have:
(16x) × (9x) = 57
144x² = 576
x² = 576 / 144
x² = 4
x = 2
Now we can find the actual dimensions:
Length = 16 × 2 = 32 inches
Height = 9 × 2 = 18 inches
The perimeter (P) of a rectangle is given by
P = 2 × (Length + Height)
P = 2 × (32 + 18)
P = 2 × 50
P = 100 inches
The perimeter of the television screen is 100 inches.
A road sign gives drivers information about traffic on busy highways. One sign shows "15 miles in 20 minutes". What is this speed in miles pee hours?