He must save $150 each of the last two months in order to meet his goal.
Step-by-step explanation:
Given,
Amount Colin wants to save = $900
Amount saved each month for 8 months = $75
Amount saved in 8 months = 75*8 = $600
Let,
x be the amount saved each month for remaining two months.
Therefore;
Number of months * Amount saved + Amount saved in 8 months = Total amount to save
[tex]2x+600=900\\2x=900-600\\2x=300[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{300}{2}\\x=150[/tex]
He must save $150 each of the last two months in order to meet his goal.
Keywords: subtraction, division
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A painter can paint 350 square feet in 1.25 hours what is the painting rate per square feet per hour
Answer:280 square feet per hour.
Step-by-step explanation:
What is the common difference of 80,60,45,33.75
Answer:
they are all less than 100
A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions.
Dimensions are length 20 meter and width 14 meter
Solution:
Let "a" be the length of rectangle
Let "b" be the width of rectangle
Given that,
A rectangle has width that is 6 meters less than the length
Width = length - 6
b = a - 6
The area of the rectangle is 280 square meters
The area of the rectangle is given by formula:
[tex]Area = length \times width[/tex]
Substituting the values we get,
[tex]Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0[/tex]
Solve the above equation by quadratic formula
[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}[/tex]
[tex]a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14[/tex]
Since, length cannot be negative, ignore a = -14
Thus solution of length is a = 20
Therefore,
width = length - 6
width = 20 - 6 = 14
Thus dimensions are length 20 meter and width 14 meter
Given f(x)= x-7 and g(x)=x^2 Find f(g(4)).
fo(4)) =
Good morning,
Answer:
f(g(4)) = 9
Step-by-step explanation:
f(x)= x-7
g(x)=x²
fog(x) = f(g(x)) = x² - 7
then
f(g(4)) = 4² - 7 = 16 - 7 = 9
:)
Classify each figure as a polyhedron or not a polyhedron.
Then name the figure.
person to get it right will get brainlliest
Answer:
Not a polyhedron and it's a sphere
Step-by-step explanation:
It's not a polyhedron because a polyhedron has to have faces more than 6
The radius of a basketball hoop is 9 inches. Which expression can be used to find the hoop's circumference in inches?
(A)π ⋅ 9^2
(B)9/π
(C)9 ⋅ π
(D)2 ⋅ 9 ⋅ π
The right answer is Option D.
Step-by-step explanation:
Given,
Radius of basketball hoop = 9 inches
As the basketball hoop is in circular shape.
Circumference of basketball hoop = 2πr
We will put given radius = 9
Circumference of basketball hoop = 2*π*9
Circumference of basketball hoop = 2 . 9 . π
Therefore,
Circumference of basketball hoop is 2*9*π.
The right answer is Option D.
Keywords: circle, circumference
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Answer:
2*9*π
Step-by-step explanation:
a recipe for lemonade calls for 2 cups of sugar for every 1/2 cup of lemon juice. How many cups of sugar would be needed if you had 3 cups of lemon juice?
Answer: 12cups of sugar
Step-by-step explanation:
2cups of sugar = 1/2cup of memo
Xcups of sugar =3cups of lemon
X = 6÷ 1/2
= 12
Answer:
12 cups sugar
Step-by-step explanation:
there are a couple ways to do this...by unit rate or a proportion...
2 cups of sugar for every 1/2 cup of lemon juice
2 / (1/2) = 2 * 2 = 4.....the unit rate is 4/1....or 4 cups of sugar for every 1 cup of lemon.
so if u have 3 cups of lemon, and 1 cup of lemon = 4 cups of sugar, then 3 cups of lemon would equal (4 * 3) = 12 cups of sugar
or set it up as a proportion...
2 cups sugar to 1/2 cup lemon = x cups sugar to 3 cups lemon
2 / (1/2) = x / 3....cross multiply
(1/2)(x) = (3)(2)
1/2x = 6
x = 6 * 2
x = 12 cups sugar
either way u choose to do it will result in the same answer.
A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but doubles the height. How does the area of the triangle change?
A. The area increases by 3 square units.
B. The area increases by 6 square units.
C. The area increases by 12 square units.
D. The area does not change.
Answer:the correct answer is b
Step-by-step explanation:
What two fractions are equivalent to 12/27
Step-by-step explanation:
I have no answer to choose...
[tex]\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots[/tex]
You can multiply (divide) the numerator and the denominator by the same number different from 0 then the value of the fraction will not change
(you will get a fraction equal to given)
What is the slope of a line passing through (3, 4) and (5, 8)?
Answer:
The slope of the two points is 2.
Answer:
2 is teh answer
Step-by-step explanation:
A sporting goods store regularly sell shoes for $17.49 their ad for a sale says *Save 25%* what is the sale price of the shoes
Answer:
The price of the shoes should be $13.12
I need help please and thank you
Answer:
∠3 = 114°
Step-by-step explanation:
Angle 3 is a corresponding angle to angle 7, since they are both in the southwest corner of the intersection of the transversal and the parallel lines. Corresponding angles have the same measure, so ...
∠3 = ∠7 = 114°
Ali has painting class every 20 days ria has a pottery class every 5 days they both met at the art building today. How many days will it be until they meet each other again
Answer:
4
Step-by-step explanation:
20 divided by 5 = 4
Answer:
20 days
Step-by-step explanation:
Since 20 is a multiple of 5 then the least common multiple of 5 and 20 is 20
therefore they will meet after 20 days
a coffee shop used 30% more sugar this month than last month. if the coffee shop used 728 kilograms of the sugar this month, how much did it use last month
It used 560 kilograms of sugar last month
Step-by-step explanation:
The given is:
A coffee shop used 30% more sugar this month than last monthThe coffee shop used 728 kilograms of the sugar this monthWe need to find how much it used last month
Assume that the coffee shop used x kg sugar the last month
∵ The coffee shop used x kilogram of sugar last month
∵ It used 30% more sugar this month than last month
- Find the value of 30% of x and add it to x to find how many
kilograms it used for this month
∵ 30% of x = [tex]\frac{30}{100}[/tex] × x = 0.3 x
∴ It used this month = x + 0.3 x
∴ It used this month = 1.3 x kg
∴ The coffee shop used 1.3 x kilograms of sugar this month
∵ The coffee shop used 728 kilograms of the sugar this month
- Equate 1.3 x by 728 to find x
∴ 1.3 x = 728
- Divide both sides by 1.3
∴ x = 560
It used 560 kilograms of sugar last month
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You can learn more about the word problems in brainly.com/question/10557938
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Will give brainliest
Answer:
D
Step-by-step explanation:
95/100 is equal valent to 95℅.
$37.50 decreased by 4% =
Answer:
$36
Step-by-step explanation:
The original value is $37.50 so that is 100%.
A decrease of 4% from original value means that you are finding 96% of the value, since 100% -4%= 96%
So the new value is 37.50/100 ×96= $36
This is because:
100% ----- $37.50
1% --------- $0.375
96% ------- $36
or taking 96% of original value would be
96/100 × $37.50= $36
Which would give you the same answer
How do you get 3/5 of 18
Answer:
54/5
Step-by-step explanation:
(3/5)(18)=54/5
I got both #5 wrong can someone please help me? :(
Answer:
insted of choosing a it should have been b the < symbol is the aligator thing you learn in like 1st grade
What is the formula for margin of error? ME = ME = ME = ME =
Answer:
the answer is C on edgen.
Step-by-step explanation:
What is x for unknown angle problems algebra?
Step-by-step explanation:
If two lines cross each other the angles opposite of each other are the same. So left=right and top=bottom. Knowing this the bottom angle must be 120°. if 3x=120° then x=40°
leah would like to earn at least $160 per month. She works at a restaurant for $5 an hour and works at an ice cream shop for $8 an hour. Leah wants to work at least 7 hours at the restaurant, and at least 10 hours at the ice cream shop.
Answer:
Leah can make more than $160 in a month if he works 7 hours for $35 and 10 hours for $80 daily or weekly.
Step-by-step explanation:
x-1=2
Work out the value of 2x squared
Step-by-step explanation:
x-1=2 therefore x is 3 so 2x squared is 36
Answer:
1.22474487139
Step-by-step explanation:
x = 3
so if 2x^2 - 1 = 2
add 1 to both equations
2x^2 = 3
next, divide 2 from both sides
x^2 = 3/2
x^2 = 1.5
now find the square root of 1.5
the answer is:
1.22474487139
PLEASE HELP ME , GET ON HONOR ROLL PLEASE NEED YOUR HELP
A plant is already 11.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (in meters), after x months is given by the following.
H=11.00 +0.09x
What is the plant's height after 50 months?
Answer:
19 ft i think
Step-by-step explanation:
hop ethis helps :) have a nice day
What is 7.5 divided by 8
Answer:
0.9375
Step-by-step explanation:
Answer:
I believe the answer to this question is: 0.94375.
Jonah has read of his mystery book. He 1/4 has read 36 pages. How many pages are in the mystery book ?
Answer:
144 pages
Step-by-step explanation:
Johan has read [tex]\frac{1}{4}[/tex] of the book that is 36 pages.
To find the total number of pages in the book, note that
[tex]\dfrac{1}{4}\ - \ 36\ \text{pages}\\ \\1\ - \ x\ \text{pages}[/tex]
Then
[tex]\dfrac{\frac{1}{4}}{1}=\dfrac{36}{x}\\ \\\dfrac{1}{4}x=36\\ \\x=4\cdot 36\\ \\x=144\ \text{pages}[/tex]
Y = -X + 1
Y = 3
Substitution method
Answer:
x=-2, y=3. (-2, 3).
Step-by-step explanation:
y=-x+1
y=3
----------
-x+1=3
-x=3-1
-x=2
x=-2
y=-(-2)+1
y=2+1=3
What is the answer for 2x3/5+1/5
Answer:
Step-by-step explanation:
2x3/5+1/5
Going by BoDMAS
Multiplication comes before addition
2x3/5+1/5 = 6/5 + 1/5 = (6+1)/5
= 7/5 = 1 2/5
Final answer:
The expression 2x3/5+1/5 is solved by first multiplying 2 by 3/5 to get 6/5 or 1.2, and then adding this to 1/5 to get the final answer of 7/5 or 1.4.
Explanation:
To solve the expression 2x3/5+1/5, you first need to perform the multiplication before the addition, according to the order of operations (PEMDAS/BODMAS). So, you need to multiply 2 by 3/5:
2 x 3/5 = 6/5 or 1.2
Now add this result to 1/5:
6/5 + 1/5 = 7/5 or 1.4
Therefore, the answer is 7/5 or 1.4.
Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance?
Answer: The one who ran at the greater Average Speed in 1 hour ran the greater Distance.
Step-by-step explanation:
Speed (S) is the ratio of the distance (D) covered to the time (t) taken.
That is, S = D/t
Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have
S1 = D1/t
We can then say he ran a distance
D1 = t × S1
= 3600S1
Similarly, let's say Karleigh ran a distance
D2 = t × S2
= 3600S2
Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.
Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10
D1 = 3600 × 5
= 18000
D2 = 3600 × 10
= 36000
This makes D2 bigger than D1.
I hope this is clear.
Answer:
Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10 mile per minute compared to Andrew’s 1/12 mile per minute.
Step-by-step explanation:
How do we express one-half of the
difference of a number cubed and one?
Answer:
Step-by-step explanation:
1/2 (n^3 - 1)
the difference means subtract
Step-by-step explanation:
1/2 (n^3 - 1)
What is the equation of the line that passes through the given pair points in slope-intercept form?
a. (2, 5.1) and (−1, −0.5)
b. (−2, 3) and (3, −4)
a. The equation of the line is [tex]y = \frac{28}{15}x+\frac{41}{30}[/tex]
b. The equation of the line is [tex]y = \frac{-7}{5}x+\frac{1}{5}[/tex]
Explanation:The general equation of the line in slope-intercept form is:
y = mx + c
where m is the slope and c is the y-intercept
1. To get the slope:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where (x₁ , y₁) and (x₂ , y₂) are two points that belong to the line
2. To get the y-intercept:
We pick any point (x , y) that belong to the line and use this point to substitute in the general equation:
y = mx + c
m is calculated from part 1 and (x , y) is a known point on the line. So, we solve for c which is the only unknown.
Now, for the required lines:
Part a:
The two given points are (2, 5.1) and (-1, -0.5)
representing (x₁ , y₁) and (x₂ , y₂)
i. Getting the slope:
[tex]m = \frac{-0.5 - 5.1}{-1 -2}=\frac{28}{15}[/tex]
ii. Getting the y-intercept:
I will use the point (-1, -0.5)
y = mx + c
[tex]-0.5 = \frac{28}{15}(-1)+c\\\\-0.5=\frac{-28}{15}+c\\ \\ c = \frac{41}{30}[/tex]
iii. Based on the above calculations, the equation of the line is:
[tex]y = \frac{28}{15}x+\frac{41}{30}[/tex]
Part b:
The two given points are (-2, 3) and (3, -4)
representing (x₁ , y₁) and (x₂ , y₂)
i. Getting the slope:
[tex]m = \frac{-4-3}{3--2}=\frac{-7}{5}[/tex]
ii. Getting the y-intercept:
I will use the point (3, -4)
y = mx + c
[tex]-4 = \frac{-7}{5}(3) + c\\ \\-4 = \frac{-21}{5}+c\\ \\c=\frac{1}{5}[/tex]
iii. Based on the above calculations, the equation of the line is:
[tex]y = \frac{-7}{5}x+\frac{1}{5}[/tex]
Hope this helps :)