Answer:
x = 10; y = 8
Step-by-step explanation:
Let
DVDs = x
CDs = y
3x + 4y = 62 (1)
4x + 3y = 64 (2)
Multiply (1) by 4 and (2) by 3 to eliminate x
12x + 16y = 248 (3)
12x + 9y = 192 (4)
Subtract (4) from (3)
16y - 9y = 248 - 192
7y = 56
y = 56/7
y = 8
Substitute y = 8 into (1)
3x + 4y = 62
3x + 4(8) = 62
3x + 32 = 62
3x = 62 - 32
3x = 30
x = 30/3
x = 10
x = 10; y = 8
which value of x is a solution of 8> (x-6)-2
Answer:
The answer is x < 16.
Step-by-step explanation:
1) Remove parentheses.
[tex]8 > x - 6 - 2[/tex]
2) Simplify x - 6 - 2 to x - 8.
[tex]8 > x - 8[/tex]
3) Add 8 to both sides.
[tex]8 + 8 > x[/tex]
4) Simplify 8 + 8 to 16.
[tex]16 > x[/tex]
4) Switch sides.
[tex]x < 16[/tex]
Therefor, the answer is x > 16.
Which equation represents a line which is parallel to the line 4x-5y=30
The product of five times p and seven times q is
Answer:
Step-by-step explanation:
(5p)(7q)=35pq
Answer:
The product of five t imes p and 7 times q is just:
5p(7q), which is 42pq
Let me know if this helps!
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
Is 121,031 divisible by 3?
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
Find 2y-6= -6x in slope intercept form and find the slope and y-intercept.
Answer:
slope=-3
y-intercept=(0, 3)
Is this a proportional relationship
Answer:
N o
Step-by-step explanation:
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 pls thank u <3
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.
Find value of X
Thank you
Answer:
x = 98
Step-by-step explanation:
If angle D is the center then
x + 4 = 2 × (x - 47)
x + 4 = 2x - 94
4 + 94 = 2x - x
98 = x
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
The graphs show the audience, in millions, of two TV shows as a function of the episode number. For the first show (top graph) pick two episode numbers between which the function has a negative average rate of change, if possible. Estimate the average rate of change, or explain why it is not possible.
Answer:
The slope between two points. The rate at which the dependent variable changes with the independent variable. Yes between episode 5 and episode 6
Step-by-step explanation:
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 10 points...?
Answer:
Frequently consuming unusually large amounts of food in one sitting and feeling that eating behavior is out of control is a binge eating disorder and a binge eating is when you eat a lot of snacks but u know how to control how much to eat.
Step-by-step explanation:
i forgot to make it an answer my bad
Please help !! I will give you brainliest!!
Explain each step you took to solve this question.
Given: Angle ^HMA is bisected by MT.
HT = MT
Find the measure of angle ^MAT.
Answer:
angle MAT=48
Step-by-step explanation:
angle H = 44
angle M = 88
angle A = 48
triangle HTM is an isosceles triangle which means its other two angles are congruent and to find those two measurements we do (180-92)/2=44MT bisects, meaning split equally in half, so we multiply 44 by 2 and now we have angle measures of H&M180-(H+M)= AIf the equation f(x) = 2* is graphed, which of the following
values of x would produce a value closest to the x-axis?
Answer:
X=-2
Step-by-step explanation:
Beacuse I got it right
Help please! 50 Points! PLEASE DONT RESPOND IF YOU DO NOT KNOW.
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!
Answer:
e.869.58units^2
f. 96m^2
g. 184m^2
Step-by-step explanation:
e.
484 square
176 triangle
209.58 equilateral triangle
f. 196 total are - mini square 25+25+25+25= 96m^2
g. 22+66+80+16=184m^2
Find the area of a right triangle with a height of 8 1/2 feet and a base of 15 feet
Answer:
63.75
Step-by-step explanation:
The equation for finding the area of a triangle is 1/2b x h
b = base
h = height
b = 15
h = 8.5
15(1/2) x 8.5
7.5 x 8.5 = 63.75
Answer:
A = 63.75 ft^2, or 63 3/4 ft^2
Step-by-step explanation:
The formula for the area of a triangle of base b and height h is
A = (1/2)(b)(h).
With h = 8.5 ft and b = 15 ft, the area of the triangle in question is
A = (1/2)(8.5)(15)ft^2, or
A = 63.75 ft^2, or 63 3/4 ft^2
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.
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
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an equation to determine the cost per tile, t.
Answer:
5x+40=100
Step-by-step explanation:
The equation to determine the cost per tile, t will be [tex]\rm 200 \times t =100[/tex] and the cost per tile, t = 1/2$.
The total cost of a crate of floor tiles was $100 which had 5 boxes of floor tiles and each box contained 40-floor tiles. we have to determine the equation for the cost per tile, t.
What is the cost per tile?Here, Cost per tile = $t
Per Box Contain 40 tiles.
So, Price for 1 box = [tex]\rm 40\times t[/tex]
and Total price of crate = [tex]\rm 40 \times t \times5[/tex]
Therefore, [tex]\rm 40 \times t \times5=100[/tex]
[tex]\rm 200 \times t =100[/tex]
[tex]\rm t = \frac{1}{2}[/tex]
Hence, the cost per tile, t = 1/2.
The equation to determine the cost per tile, t will be [tex]\rm 200 \times t =100[/tex] and the cost per tile, t = 1/2$.
Learn more about the linear equation here:
https://brainly.com/question/11897796
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 15 feet and a height of 20 feet. Container B has a radius of 19 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?
pleaseee help meee
9514 1404 393
Answer:
65.6%
Step-by-step explanation:
The question is essentially asking the ratio of the volumes.
Va = πr²h = π(15²)(20)
Vb = πr²h = π(19²)(19)
The ratio of volumes is ...
Va/Vb = π(15²)(20)/(π(19³)) = (15²)(20)/19³ ≈ 0.65607
Container B will be about 65.6% full when container A is empty.
Which statement about these triangles is true?
Pre-Image
Image
12 + 3
12
5
5+3
Answer:
The answer will be B
Step-by-step explanation:
What is the slope of y = -4x – 3
Answer:
-4
Step-by-step explanation:
bc the equation is y=mx+b and m is y/x so -4
If the volume of a cube is 4,913 cm³ , then the length of its side is
Answer:
17
Step-by-step explanation:
I used a caculator...
Give Brillianst Please!!!
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°
I need some help on this
Answer:
Step-by-step explanation:
Point of intersections of the graph with x-axis are not clear.
Let these points are x = -a, -b and c
Therefore, function representing the graph will be,
f(x) = p(x + a)(x + b)(x - c)
Since, this graph crosses y-axis at (0, -6),
f(0) = p(0 + a)(0 + b)(0 - c) = -6
-pabc = -6
p = [tex]\frac{6}{abc}[/tex]
Therefore, equation of the given function will be,
f(x) = [tex]\frac{6}{abc}(x+a)(x+b)(x-c)[/tex]
Please does anyone know the answer to this question??
9514 1404 393
Answer:
126°
Step-by-step explanation:
To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.
(5x -6) +(3x) = 90
8x = 96 . . . . . . . . . . . add 6, collect terms
x = 12 . . . . . . . . . . . . . divide by 8
3x° = 3·12° = 36° . . . . . . find the "remote" acute angle
exterior angle = 90° +36°
exterior angle = 126°
__
The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.