Her average weekly income in August was $200.
Step-by-step explanation:
To find the income in july :
Given that,
Her average weekly income in September was $207.Her part time job was 15% more in September than it was in July.Let,
'x' be the 100% of income she got in July.
Therefore, the income $207 in September is 115% of x.
⇒ 115% of x = 207
⇒ 1.15 × x = 207
⇒ x = 207 / 1.15
⇒ x = 180
∴ Her average weekly income in July was $180.
To find the income in August :
Given that,
Her average weekly income in July was 10% less than it was in August.We found that, $180 is the average weekly income in July which is 10% less than August.Let,
'y' be the 100% of income she got in August.
Therefore, the income $180 in July is 90% of y.
⇒ 90% of y = 180
⇒ 0.9 × y = 180
⇒ y = 180/0.9
⇒ y = 200
∴ Her average weekly income in August was $200.
her average weekly income in August was $200 .
Step-by-step explanation:
Let in July income was x , So in September :
⇒ [tex]x+\frac{15x}{100}[/tex]
According to question , her average weekly income in September was $207 i.e.
⇒ [tex]x+\frac{15x}{100}=207[/tex]
⇒ [tex]\frac{115x}{100}=207[/tex]
⇒ [tex]x=207(\frac{100}{115})[/tex]
⇒ [tex]x=180[/tex]
Now , average weekly income in July was 10% less than it was in August , let income of august = y, i.e.
Income in august = [tex]180+\frac{August(10)}{100}[/tex]
⇒ [tex]y=180 + \frac{y(10)}{100}[/tex]
⇒ [tex]\frac{9}{10}y=180[/tex]
⇒ [tex]y=\$200[/tex]
Therefore , her average weekly income in August was $200 .
12 cm
10 cm
10 cm
What is the volume of Alina's model in cubic
centimeters?
cm3
Answer:
1200 cm^3
Step-by-step explanation:
i believe you multiply highxlengthxwidth
Answer:
1200 cm3
Step-by-step explanation:
The label it wants you to use on the answer kind of hints at how you need to find the volume of this cube. since it is cm3 it means you are going to multiply each of the numbers together to get the answer.
12x10x10=1200
cm x cm x cm = cm3
Put the two together and you get 1200 cm3
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answer:
4 participants
Step-by-step explanation:
The name of the chart is "Participants PER race"
That means they tall you how many people did the race now all you gotta do is, Count up the numbers more than 61- So look at the 6 in the "stem" portion
it has 67, 67 they are both more than 61
Then look at the next "stem" number- 7
that has 74 which is more than 61 but less than 85
Then we look at the 8 in the "stem" it has three numbers- 84, 86, 89
but 86 and 89 are more than 85 so 84 is the only one which will go through
So the numbers are: 67, 67, 74, and 84
Thus 4 participants
I hope this explained it!
3y+6+4y−7=−8
Solve for y
The solution to the equation 3y + 6 + 4y - 7 = -8 is y = -1.
We have,
To solve the equation 3y + 6 + 4y - 7 = -8 for y, we can combine like terms and isolate the variable.
Combining like terms on the left side of the equation, we have:
3y + 4y + 6 - 7 = -8
Simplifying further:
7y - 1 = -8
Next, let's isolate the y-term by moving the constant term to the other side of the equation:
7y = -8 + 1
Simplifying:
7y = -7
Finally, divide both sides of the equation by 7 to solve for y:
y = -7/7
Simplifying the fraction:
y = -1
Therefore,
The solution to the equation 3y + 6 + 4y - 7 = -8 is y = -1.
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Madelyn's car used 6 gallons of gas to drive 126 miles. At what rate does her car use
gas in gallons per mile? Express your answer in simplest form.
Answer:
Step-by-step explanation:
You are given GALLONS and MILES
you want to find MILES / GALLON
so just put those numebrs in
MILES / GALLON = 126 miles / 6 gallons = 21 m/g (or 21 MPG)
Answer
Step-by-step explanation
what are the choices TwT
Subtract. -8 - (- 2)
Answer:
-6
Step-by-step explanation:
Definition: This is the observed variable in an experiment or study whose changes are determined by the
presence or degree of one or more independent variables. When graphed, this variable is usually on the
vertical axis.
Answer:
VERTICLE AXIS IS THE ANSWER
Step-by-step explanation:
BRAINLIEST PLEASE????
Answer:
Dependent Variable
Step-by-step explanation:
What is the perimeter of parallelogram WXYZ
/5- /17 units
2/5+2/17 units
16 units
22 units
The points of the parallelogram are
X4.0)
W(0.-1
Y(3.-2
Z-1,-3)
Answer:
Step-by-step explanation:
Given a parallelogram with points
X(4, 0)
W(0, -1)
Y(3, -2)
Z(-1, -3)
We want to find the perimeter, perimeter is the total sum of the lengths
So, we need to find the length of the sides using distance between two points
D = √(x2-x1)² + (y2-y1)²
So, applying this
WX = √(0-4)²+(-1-0)² = √(16 + 1) = √17
XY = √(4-3)² + (0--2)² = √(1+4) = √5
Since the opposite sides of a parallelogram are equal, we don't need to find the other length
Then,
Perimeter = 2(WX + XY)
Perimeter = 2(√17 + √5)
Perimeter = 2√17 + 2√5
The correct answer is B.
What is 2m-2 when m =9
Answer:
16
Step-by-step explanation:
simplify
2(9) - 2
18 - 2
16
Consider the set of whole numbers from 1 to 10, inclusive.
List the numbers that meet the condition: greater than four and odd
Answer:
5, 7, 9.
Step-by-step explanation:
they are all greater than 4 and odd
List the numbers that meet the condition: greater than four and odd
5,7,9
Given :
the set of whole numbers from 1 to 10, inclusive.
Lets write all the numbers from 1 to 10 inclusive
The numbers are 1,2,3,4,5,6,7,8,9,10
Now we write all the odd numbers between 1 and 10
1,3,5,7,9
Now we look at the numbers greater than 4 and odd
The numbers greater than 4 and odd are 5,7,9
List the numbers that meet the condition: greater than four and odd
5,7,9
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Find the volume of the pyramid below. Hint: The base is a right triangle, so you will need to find
the area of the base first.
112
Enter your answer as a number with no units.
Given:
Given that the height of the pyramid is 12 units.
The base of the triangle is 8 units.
The height of the triangle is 6 units.
We need to determine the volume of the pyramid.
Area of the triangle:
The area of the triangle can be determined using the formula,
[tex]A=\frac{1}{2} bh[/tex]
where b is the base of the triangle and h is the height of the triangle.
Substituting the values, we get;
[tex]A=\frac{1}{2}(8)(6)[/tex]
[tex]A=\frac{1}{2}(48)[/tex]
[tex]A=24[/tex]
Thus, the area of the triangle is 24 square units.
Volume of the pyramid:
The volume of the pyramid can be determined using the formula,
[tex]V=\frac{1}{3}AH[/tex]
where A is the area of the triangle and H is the height of the pyramid.
Substituting the values, we get;
[tex]V=\frac{1}{3}(24)(12)[/tex]
[tex]V=\frac{1}{3}(288)[/tex]
[tex]V=96[/tex]
Thus, the volume of the pyramid is 96 cubic units.
Write the ratios 20:40:60 in its simplest form?
Answer:
1:2:3
Step-by-step explanation:
The ratio 20:40:60 is simplified by dividing each number by the greatest common divisor (GCD), which is 20, giving us the simplest form of the ratio as 1:2:3.
Explanation:To write a ratio in simplest form, you have to find the greatest common divisor (GCD) of the numbers and then divide all numbers by the GCD. In the ratio 20:40:60, the GCD is 20. Therefore, when you divide each number of the ratio by the GCD you get 1:2:3. So, the ratio 20:40:60 in its simplest form is 1:2:3.
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|x+5| =3
plz help show steps
Answer:
x=-2
Step-by-step explanation:
|x+5|=3
-2+5=3
What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16
ASAP BRAINLEST TO BEST ANSWER
Which set of number is only made up of integers?
Answer:last one
Step-by-step explanation:
an integer is a whole #...it cant be a fraction...it can be a negative # though
Answer:
–23, –7, 5, 9, 190
Step-by-step explanation:
A right triangle has sides of length 3, 4, and x. Find x if it is a LEG.
Work Shown:
a = x, b = 3, c = 4
a^2 + b^2 = c^2 ... pythagorean theorem
x^2 + (3)^2 = (4)^2
x^2 + 9 = 16
x^2 = 16 - 9
x^2 = 7
x = sqrt(7)
x = 2.64575131106459
x = 2.6
In a right triangle with one leg of length 3, the other leg of length 4, and the hypotenuse of length x, the Pythagorean theorem formula (3² + 4² = x²) gives the length of x as √25, or 5 units.
Explanation:In Mathematics, a right triangle has one angle that is a right angle (90 degrees). In these triangles, the Pythagorean theorem applies, which says that the square of the length of the longest side (hypotenuse) is equal to the sum of squares of the other two sides (legs).
If x is a leg of the triangle, then its length can be found by rearranging the Pythagorean theorem formula. If the length of one leg is 3, the other is 4, and the length of the hypotenuse is x, then the equation is: 3² + 4² = x².
That simplifies to 9 + 16 = x², and further to x² = 25. Taking the square root of both sides gives us the length of x as 5 units.
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A rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it. There is enough gravel to cover 80 square meters. Enter an inequality that represents all possible widths(w), in meters, of the pathway.
Let w represent width of the pathway.
We have been given that a rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it.
Since pathway will be on all sides, so new length and width of garden with pathway would be [tex]13+2w[/tex] by [tex]15+2w[/tex].
We are also told that there is enough gravel to cover 80 square meters. This means that area f pathway should be equal to 80 square meters.
The area of the pathway will be equal to area of garden with new dimensions minus area of garden with original dimensions.
We know that area of rectangle is width times length.
[tex]\text{Area of pathway}=(15+2w)(13+2w)-15(13)[/tex]
Since we are asked to write an inequality that represents all possible widths(w), in meters, of the pathway, so area of pathway should be less than or equal to 80 square meters.
[tex](15+2w)(13+2w)-15(13)\leq 80[/tex]
Therefore, our required inequality would be [tex](15+2w)(13+2w)-15(13)\leq 80[/tex].
Is 9in, 15in, 17in a right triangle
The amount of a radioactive substance decreases by 10% every
12 hours. Currently the amount of substance is 100 grams. If n is
a whole number, which expression represents the number of
grams of substance left n days from now?
A.100(0.81)^n
B.100(1.1)^2n
C.100(0.81)^n/2
D.100(0.8)^n
Answer:
Step-by-step explanation:
We would apply the formula,
y = ab^t
Where
a represents the initial amount of substance.
t represents the decay time.
From the information given
a = 100
t = 12 hours
Since after 12 hours, the amount of substance reduces by 0.1, then
y = 0.1 × 100 = 10
Therefore
10 = 100 × b^12
Dividing through by 100, it becomes
0.1 = b^12
Raising both sides of the equation by 1/12, it becomes
0.1^(1/12) = b^12/12
b = 0.8
The equation becomes
y = 100(0.8)^t
Where t = n, the expression becomes
y = 100(0.8)^n
Final answer:
The correct expression representing the amount of a radioactive substance left after n days, with a 10% decrease every 12 hours, is 100(0.81)^n. The decay process is exponential, and we square the 12-hour decay factor to get the daily decay factor of 0.81.
Explanation:
To determine which expression represents the grams of a radioactive substance left n days from now, given that the substance decreases by 10% every 12 hours, we'll have to work with the concept of exponential decay in our calculations. Since the decay happens every 12 hours (which is half a day), we'll count the number of half-days there are in n days, which is 2n 12-hour periods.
Since the substance decreases by 10%, it retains 90% of its previous amount every 12 hours. In decimal form, this is a 0.9 multiplier. Thus, after each 12-hour period, we multiply the current amount by 0.9. To get the amount after n days, we raise 0.9 to the power of 2n, because there are 2n 12-hour periods in n days.
In mathematical terms, the amount left after n days can be represented as 100(0.9)^(2n). However, this option is not present in the given choices, so we have to look for an equivalent expression by simplifying or altering the base if needed. We can square 0.9 to get 0.81, which corresponds to the amount of substance left after a full day (24 hours). The correct expression representing the amount after n days is 100(0.81)^n, which is choice A.
Elle is buying new flooring for her kitchen
and laundry room. She knows that the
area of the kitchen is 132 square feet. The
laundry room is 8 1/3 feet by 6 3/4 feet. What is
the total area of the two rooms?
Answer:
188.23 ft
Step-by-step explanation:
8.33ft x 6.75ft
56.23ft
now add the other room
56.23ft+132ft
The total area of the two rooms is..
188.23 ft
If X = 2 inches, Y = 8 inches, W = 4 inches, and Z = 5 inches, what is the area of the object?
Answer:
28 inches
Step-by-step explanation:
2 x 4=8
8-4=4
4 x 5 = 20
20+8=28
area of the x and w rectangle is 8
area of the y and z rectangle is 20
The airplane Li's family will be flying on can seat up to 149 passengers. If 96 passengers are already on the plane, which graph represents the solution to the inequality that would be used to find how many more people can board?
Answer:
no more than 53
Step-by-step explanation:
Answer:
no more than 53
Step-by-step explanation:
I can confirm this because I did it myself not because of the guy above me
Please help on this! I will mark brainliest if right!
Answer:
13 units
Step-by-step explanation:
Use the pythagorean theorem and find the hypotenuse.
a^2 + b^2 =c^2
Draw the triangle by connecting the dots so you can see the legs.
one leg is 8 units and one leg is 10 units
8^2 + 10^2 = c^2
64 +100= c^2
164 = c^2
Find the square root of 164 which is 12.8. Round to 13
Show work please . I’m stuck need help
Answer:
I hope it helps
Step-by-step explanation:
just insert numbers and simplify
Mr. Malkemus replace 75% of the wooden boards on his deck if he replaced 63 wooden boards how many boards does his deck have in total
Answer:
84
Step-by-step explanation:
Make a proportion
We know that 63 divide by a number has to equal 75%
63/x=75/100
Cross multiply
75x=6300
Divide by 75 on both sides
x=84
So , his deck has 84 wooden boards
Hope this helps! :)
Answer:
he had 84 wooden boards
Step-by-step explanation:
[tex]\frac{63}{75}[/tex] [tex]\frac{x}{100}[/tex] = 6300÷ 75=84
(02.02)
The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Select one
O a. No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y
b. No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y
c. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48
d. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24
Let
L--------> the length of the rectangle
y------> the width of the rectangle
x------> the perimeter of the rectangle
we know that
The perimeter of the rectangle is equal to
In this problem we have
For a width
Find the value of the perimeter
so
therefore
the answer is the option A
No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y. .
Rewrite the following expression as a single logarithm with coefficient 1.
3log5 uv^2/w^3
Answer:the answer is D
Step-by-step explanation:
The correct solution of the expression is,
⇒ log (125u³v⁶ / w⁹)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3 log (5uv²/w³)
Now, We can simplify by the definition of logarithmic function as;
⇒ 3 log (5uv²/w³)
⇒ log (5uv²/w³)³
⇒ log (125u³v⁶ / w⁹)
Thus, The correct solution of the expression is,
⇒ log (125u³v⁶ / w⁹)
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What is the fifth term in the expansion of (3x - 3y)7?
Answer:
76545
Step-by-step explanation:
William's typical running speed is 6 mi/h. The difference between his fastest speed and his typical speed is 1.5 min. The equatio
f-1.5 = 6 can be used to represent this problem, where fis William's fastest speed. What is William's fastest speed?
A) 4.5 mi/h
B) 5.5 mi/h
C)6.5mi/h
D) 7.5 mi/h
Answer:
D) 7.5 mi/h. hcbhcvu yc yv. y yv yh
Answer:
D
Step-by-step explanation:
7.5
What is the circumference, in centimeters, of the circle? Use 3.14 for π.
The diameter is 24 cm
Will give brainiest
Answer:
the answer is 75.36cm but it can rounded off to 75.4cm
Step-by-step explanation:
so...circumference is equal to "2 pie radius"
since the diameter is 24 then the radius is 24 divided by 2 which is 12cm .
plz hurry will mark brainiest
what hole number is a solution for the inaquality x _> 4 but is not a solution for the inaquality x > 4?
A 0
B 4
C 7
D 18
Answer:
B. 4
Step-by-step explanation:
The sign [tex]\geq[/tex] means greater than or equal to
The sign > just means greater than
4 is a solution for x [tex]\geq[/tex]4, because 4 is equal to 4, but not a solution for x>4, because 4 is not greater than 4
Hope this helps! :)