Answer:
$385
Step-by-step explanation:
60% of $875 = $525
$875 - $525 = $350
10% of $350 = $35
$350 + $35 = $385
Beth took out a 12-year loan for $35,000 for a new pool. If the interest rate is 10.2%, how much will she pay in interest?
Answer:
35000×10.2%=3570 Interest will be paid
35000+3570=38570 full amount will be paid in the bank
Brian gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many smarties as cola bottles. He also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are cola bottles?
Answer:ummmmm
Step-by-step explanation:
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An angle measures 32 degrees. Through what fraction of a circle does the angle turn? I need help !!!!!!!!
Answer:
4/45
Step-by-step explanation:
The sum of angles in a triangle is 360 degrees
If the angle measures 32 degrees, the fraction can be represent as 32/360
32/360 has to be converted to its simplest form. To this divide both the numerator and the denominator by 8. This gives 4/45
What is the domain of the function
Answer:
[tex]x\geq -6[/tex]
Step-by-step explanation:
The domain of a function is all of the values that [tex]x[/tex] can be under that specific function. In this case, we're asking what values of [tex]x[/tex] allow [tex]\sqrt{\frac{1}{3} x+2}[/tex] to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to [tex]0[/tex], because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for [tex]x[/tex]:
[tex]\frac{1}{3}x+2\geq 0[/tex]
Solving this inequality, we get:
[tex]\frac{1}{3}x+2\geq 0[/tex]
[tex]\frac{1}{3}x\geq -2[/tex] (Subtract [tex]2[/tex] from both sides of the inequality to isolate [tex]x[/tex])
[tex]x\geq -6[/tex] (Multiply both sides of the inequality by [tex]3[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
If the length of a rectangle is 16 cm and breadth is 7 cm, the area in square centimetres will be
Answer:
the answer is 112 mate hope u got ur answer
SOMEONE PLEASE HELP ANSWER CORRECTLY !!!!! WILL MARK BRIANLIEST !!! HELPPPPPP MEEEEEEE !!!!!
Answer:
(-2,-3)
Step-by-step explanation:
A=(8,-5)
M=(3,-4)
The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.
B=(-2,-3)
solve the system of equations by adding. check your answer.
Answer:
x+12y=40
Step-by-step explanation:
the question itself says by adding
There’s 18 boys and 11 girls in a class, they make a team with 7 students
a) in how many ways can they pick a team
b) how many teams can they get knowing there is 4 boys in each one?
"The number of boys is 45 the number of girls,"
or to say,
"The ratio of the number of boys to the number of girls is 45:1."
This second interpretation reflects the fact that 45 is the unit rate (which is a number) for the ratio 4:5.
PLEASE HELP!!! Find the value of the variable.
9514 1404 393
Answer:
q = 9
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally.
q/36 = (16 -q)/28
7q = 9(16 -q) . . . . . . multiply both sides by 252 (the LCM of 28 and 36)
16q = 16(9) . . . . . . . . add 9q to both sides
q = 9 . . . . . . . . . . . . . divide by 16
_____
Additional comment
We are given the sum of the segment lengths on the far left side. The proportion is the same for the sum of sides as it is for individual sides.
(q/36) = 16/(36+28)
q/36 = 16/64 = 1/4
q = 36/4 = 9
I dont know how to do this pls help me
Answer:
5) x = 0.75
6) x = 12
Step-by-step explanation:
5)
Use geometric mean of altitude
[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]
6)
Use geometric mean of legs
[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]
Help me please!! ;okxjda.sdfajskndmf
Answer:
133
Step-by-step explanation:
2(_9)^2=162
3(-9)=-27
2(-9)^2 +3(-9)-2= 162-27-2=133
On a coordinate plane, a circle has a center at point (negative 6, 4).
What is the equation of the circle shown in the graph?
Answer:
[tex] {x}^{2} + {y}^{2} + 12x - 8y + 4 = 0[/tex]
Answer:
1:x+6 2:y-4 3:36
Step-by-step explanation:
just did it :)
What is the value of x?
Answer:
i think it might be C
Step-by-step explanation:
very sorry if it's wrong
For the function f(x)
8 Vas - 8. find / -'(X).
9
+8
of-'() = (9)
O/(x) = 9(+8)
O!'(x) = (18)
Of(x) = 9(2+8)
8
Submit Answer
Given:
The function is
[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
To find:
The inverse function [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
Step 1: Putting f(x)=y, we get
[tex]y=\dfrac{8\sqrt[3]{x}-8}{9}[/tex]
Step 2: Interchange x and y.
[tex]x=\dfrac{8\sqrt[3]{y}-8}{9}[/tex]
Step 3: Isolate variable y.
[tex]9x=8\sqrt[3]{y}-8[/tex]
[tex]9x+8=8\sqrt[3]{y}[/tex]
[tex]\dfrac{9x+8}{8}=\sqrt[3]{y}[/tex]
Taking cube on both sides, we get
[tex]\left(\dfrac{9x+8}{8}\right)^3=y[/tex]
[tex]y=\left(\dfrac{9x+8}{8}\right)^3[/tex]
Step 4: Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\left(\dfrac{9x+8}{8}\right)^3[/tex]
Therefore, the correct option is C.
3x +11+7x
Pls help I want to learn this
Answer:
3x +7x +11=10x+11
Step-by-step explanation:
Answer:
Step-by-step explanation:
Group like terms:
=3x+7x+11
Add similar elements: 3x+7x=10x
=10x+11
7.
A comet passes Earth every 70 years. Another comet passes Earth
every 75 years. If both comets pass Earth this year, how many years
will it be before they both pass Earth on the same year again?
Answer:
1,050 years
Step-by-step explanation:
A comet passes Earth every 70 years.
Another comet passes Earth
every 75 years
If both comets pass Earth this year, how many years
will it be before they both pass Earth on the same year again?
Find the lowest common multiple of 70 years and 75 years
70 years = 70, 140, 210 , 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260,
75 years = 75, 150, 225 , 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350
Lowest common multiple of 70 years and 75 years is 1,050 years
Therefore,
If both comets pass Earth this year, they both pass Earth the same year again in the next 1,050 years
The grades on a math midterm at Springer are roughly symmetric with \mu = 78μ=78mu, equals, 78 and \sigma = 5.0σ=5.0sigma, equals, 5, point, 0. Omar scored 646464 on the exam. Find the z-score for Omar's exam grade. Round to two decimal places.
Answer:
-2.8
Step-by-step explanation:
Given that:
Mean, μ = 78
Standard deviation, σ = 5
Omar's score, x = 64
The Zscore of Omar's score :
Zscore = (x - μ) ÷ σ
Zscore = (64 - 78) / 5
Zscore = - 14 / 5
Zscore = - 2.8
Hence, Omar's exam score is - 2.8
Answer:
-2.8 is correct
Step-by-step explanation:
how long would a rock that weighs 2 pounds take to fall 99 feet
Answer:
When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.
Step-by-step explanation:
Which binomial is a factor of 12x^2 - x - 20
Answer:
12x² - x - 20 = (4x+5)(3x−4)
(a+b)²= ?
please tell the correct answer
Step-by-step explanation:
[tex](a + {b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answer:
n=42, m=42[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · [tex]\sqrt{3}[/tex], which is the same as 42√3.
Each morning, Lena leaves her house at 6:15 A.M. It takes Lena 5 minutes to walk to the bus stop. Lena rides the bus for 20 minutes and then walks 5 minutes to her office. What time does Lena arrive at work?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Will give brainiliest
Answer:
6:45
Step-by-step explanation:
5 minutes + 20 minutes +5 minutes= 30 minutes
Answer:
6:45 A.M.
Step-by-step explanation:
6:45 A.M. is exactly 30 minutes after 6:15 A.M., which is how long it takes her to walk to the bus stop, ride the bus, and walk to work.
Stay safe! <3
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
4 m = width of the rectangle.
6 m = length of the rectangle
20 m = perimeter of rectangle
3 m = side of the square
Step-by-step explanation:
Let s = length of side of square
s + 1 = width of rectangle
s + 3 = length of rectangle
Area of rectangle = (s + 1)(s + 3)
Area of square = [tex]s^{2}[/tex]
So, (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33
[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33
2[tex]s^{2}[/tex] + 4s - 30 = 0
2([tex]s^{2}[/tex] + 2s - 15) = 0
2(s + 5)(s - 3) = 0
s = -5 or s = 3
Length of a side cannot be negative, so -5 is ignored
3 m = side of the square
4 m = width of the rectangle
6 m = length of the rectangle
2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle
Please help me with this please!!
9514 1404 393
Answer:
135°
Step-by-step explanation:
In order to answer the question, we must assume that the black lines are parallel to each other.
The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.
∠2 +∠8 = 180°
15x +5x = 180°
x = 180°/20 = 9°
∠2 = 15x = 15(9°) = 135°
Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.
∠3 = 135°
HELLP ILL GIVE BRAINLYEST Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?
Answer:
Step-by-step explanation:
4(23ft)($1.12/ft)=$103.04
Complete the square in order to solve the following quadratic equation:
x^2 + 6x = −2
Find the surface area of a square pyramid with side length 5 ft and slant height 7 ft.
5 ft
5 ft
Answer:
99.33ft^2
Step-by-step explanation:
The surface area of a square pyramid is expressed as;
TSA = a²+2a√a²/4 + h²
Given that
a = 5ft
h = 7ft
Substitute
TSA = 5²+2(5)√5²/4 + 7²
TSA = 25+10√25/4 + 49
TSA = 25 + 10√(221/4)
TSA = 25 + 10(√55.25)
TSA = 25 + 10(7.433)
TSA = 25 + 74.33
TSA = 99.33ft^2
Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2
Answer:5x5=25 fts
4(1/2 x 5ft x7 ft) = 70 fts
Add them up and you get
Answer= 95fts
Step-by-step explanation:
The two figures are similar. Find the missing
dimension. Round to the nearest tenth if
necessary.
Answer:
4 in
Step-by-step explanation:
For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.
So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16
3-4(12 divided by 6)
Answer:
The answer is -2
Step-by-step explanation:
First we divide 12 by 6.
12/6 = 2
Next we subtract 3 by 4.
3 - 4 = -1
Now we solve.
-1 * 2 = -2
So, the answer is -2.
Hope this helps! :)
Answer:
3
Step-by-step explanation:
Do 12/6 first and you get 2 and then you do 3-4 and you get 1
what is the value of a? what is the value of b?
Answer:
b=18, a=9√3
Step-by-step explanation:
30-60-90 rule