Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
An ornament shaped like a sphere has a radius of 2.3 inches which measurement is closest to the volume of the ornament in cubic inches
Answer:
50.97in^3Step-by-step explanation:
Volume of a sphere
The expression for the volume of a sphere is given as
V=4/3πr^3
Given that the radius is 2.3in
Substitute r= 2.3 in the expression to find the volume of the sphere
V=4/3*3.142*(2.3)^3
V=4/3*3.142*(12.167)
V=4/3*38.23
V=152.9/3
V=50.97in^3
Therefore the volume of the ornament is 50.97in^3
Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets
for $76. Write a system of equations to represent the situation. How many adult tickets and
student tickets were purchased
PLEASE HELP ME
Answer:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
Write the problem as an equation like this
11x+7x=76
Now make an equation for the number of purchased tickets. Let x be adult and y be students.
x+y=8
Rewrite x + y = 8 as y = -x +8
Substitute y = -x + 8 into the first equation for y.
11x+7(-x+8)=76
11x+(-7x)+56=76
solve for 11x+(-7x)
4x+56+76
subtract 56 from both sides
4x=20
Divide both sides by 4
X=5
x + y = 8
5 + y = 8
y = 3
5 Adult tickets were purchased and 3 student tickets were purchased.
5 adult tickets and 3 student tickets were purchased.
What are system equations?
A finite set of simultaneous equations are called system equations.
Let, they purchased x tickets for adults and y tickets for students.
Therefore, system equations are:
x + y = 8 ----- equation 1
11x + 7y = 76----- equation 2
From equation 1, we get: x = (8 - y)
Now, substituting the value of x in equation 2, we get:
11 × (8 - y) + 7y = 76
⇒ 88 - 11y + 7y = 76
⇒ 88 - 76 = 4y
⇒ 4y = 12
⇒ y = 3.
Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.
Hence, 5 adult tickets and 3 student tickets were purchased.
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If CD = AB and AB = 8, then CD = 8
Answer:
sure
Step-by-step explanation:
I need the answer real quick will someone help me
How much is 37 1/2 percent of 48.72?
Answer:
18.27
Step-by-step explanation:
18.27
Answer: 18.28125
Step-by-step explanation:
Convert 37.5% to a decimal:
0.375
Multiply 48.72 by the decimal:
48.72(0.375)
18.28125
This can be rounded to 18.28 if you need.
Hope this helps!
At Supercuts, it costs $8.96 for a kid's haircut and 6 times as much for a woman's hairstyling. Choose the answer that correctly completes the statement.
It would cost the 4 kids and mom of the Wilson family ____________ to get all of the kids' haircuts and the mom's hair styled.
Group of answer choices
89.60
896.00
8.96
69.80
Answer:
So the correct answer for that would be 89.6
$89.60
8.96 x 4 = 35.84 - The cost of the kids combined
8.96 x 6 = 53.76 - the cost of the mom
35.84 + 53.76 = 89.60
4) Simplify: 312 = 34
A
38
B
9.176
33
18
Answer:
D6td6z6rduyxux7ydy7diyxyixyixuo is a solution of the linear equation 5x and
U2 L5 Modeling Equations With Variables On Both Sides 1) Solve 5x−4 = 3x +8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group. 2) Solve −4x +7 = −7x−8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group.
Answer:
x = 6
x = -5
Step-by-step explanation:
Solving (1)
5x - 4 = 3x + 8
Bring variables to one side
5x - 3x = 8 + 4
The result is
2x = 12
Solve for x
½ * 2x = ½ * 12
x = 6
Solving (2)
-4x + 7 = -7x - 8
Bring variables to one side
7x - 4x = -7 - 8
The result is
3x = -15
Solve for x
⅓ * 3x = -15 * ⅓
x = -5
Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?
Answer:
Step-by-step explanation:
7, 1
ario made a deposit in an account that earns annual interest. His account balance, in dollars, after t years is represented by the expression 400⋅1.05t . Yvonne made a deposit in an account that earns annual interest. Her account balance, in dollars, after t years is represented by the expression 300⋅1.06t . Which statement describes the situation correctly? A. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent more annual interest than Mario’s account. B. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent less annual interest than Yvonne’s account. C. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent less annual interest than Mario’s account. D. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent more annual interest than Yvonne’s account.
Answer:
nothing at all.
Step-by-step explanation:
x^3 + 3x^2 + 16x + 48
Answer:
(x2 +16)⋅(x+3)
Step-by-step explanation:
Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa's PIN?
Answer:
2345, 2034, 2134
Step-by-step explanation:
From the choices available the only options that would samples would be 2345, 2034, 2134. These three samples meet all of the requirements of the ATM cards pin system. Each of them starts with a 2 which is between 1 and 9. The last 3 digits of each of these samples are between 0 and 9 and are also not repeated from any of the other digits in the pin. All of the other options available either start with a 0 or have at least one repeating digit in its pin code.
the number 0.16 to 4 significant figures is?
Answer:
0.1600
Step-by-step explanation:
0.16 has 2 significant figures. To make it 4 significant figures, add two trailing zeros.
Find the value of x
A-6
B- 4
C- 11
D- 5
Answer:
b.11
Step-by-step explanation:
3x+2+70=9x+6
put your like terms on one side:
9x-3x=70+2-6
6x=66
divide both sides by 6
x=11
Item 3 Find the distance from point $A$ to $\overleftrightarrow{XZ}$ . Round your answer to the nearest tenth. Triangle X Z A and line X Z are plotted on a coordinate plane. The x-axis ranges from negative 5 to 5, in increments of 1. The y-axis is ranges from negative 5 to 5, in increments of 1. Point X is at ordered pair negative 4 comma negative 3, point Y is at ordered pair 2 comma negative 1.5, point A is at ordered pair 3 comma 3 and point Z is at ordered pair 4 comma negative 1. Angle A Z X is marked with a right angle.
Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
The formula for the circumference, C, of a circle with radius r is given.
C=2pi
Amanda made a circular toy hoop using a plastic tube. The circumference of the hoop is 125.6 inches. What is the radius of the hoop? Use 3.14 for pi.
A.
80 inches
B.
10 inches
C.
20 inches
D.
40 inches
Goran took 3 hours to clean the bathroom. Then he took 2 hours to clean the kitchen. How much total time did Goran take to clean the two rooms?
Write your answer as a mixed number in simplest form.
Answer:
5
Step-by-step explanation:
Miss Owens plans to join golds gym there is a one time registration fee of $75 and a monthly charges $15 write an equation to represent the situation. Be sure to identify the slope and the Y intercept remember your equation must be in slope intercept form Make a table for three points
ANSWER: y=75x+15
Srry if I'm wrong
Answer:
i believe that the right equation is y = 15x + 75 lol
Step-by-step explanation:
so slope intercept form, y = mx + b, means that y is not known yet. in this problem, since we don't know how many months miss owens is planning on, we don't know the total. so, the total will be represented by y. next, like i said before, since it is unknown how many months she will be paying for, that can be represented by a variable too, x. so now we have y = 15x + b. and the last part of the equation would be 75, which replaces b. so, the final equation is y = 15x + 75. and the slope is 15, the y intercept is 75, and the x intercept is -5. :) hope this helps!
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 44 in, and the length is 14 in.
The width of the rectangle is
in
Answer:
The width of the rectangle is 8in
Step-by-step explanation:
Given parameters:
Perimeter = 44in
Length = 14in
Unknown:
Width of the rectangle = ?
Solution:
The parameters given can be used to determine the unknown dimension;
Perimeter of a rectangle = 2 (L + W)
L is the length
W is the width
Input the parameters and solve;
44 = 2 (14 + W)
44 = 28 + 2W
2W = 16
W = 8in
The width of the rectangle is 8in
The graph below shows a proportional relationship between xxx and yyy.
What is the constant of proportionality,
x
y
start fraction, y, divided by, x, end fraction ?
0.50
Step-by-step explanation:
Its right <3
In the graph the constant of proportionality is 0.5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
From the given graph let us take one point (1, 0.5)
k=0.5/1
Constant of proportionality is 0.5
Hence, in the graph the constant of proportionality is 0.5
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Can someone help me please? Im really confused
Answer:
141 degrees i think
Step-by-step explanation:
Solve the system of linear equations by graphing.
y=-x+4.
y= 2x – 8
Step-by-step explanation:
suppose,x=1,2 .so y=1+4=5,2+4=6...eq..(I)
and y=2×1-8=-6,y=2*×2-8=-4
now plot in graph where they intercept with each other i.e x and y
I could plot but it's difficult here..and remember u can suppose any point as x for y
After solving the equations for x and y the value of x is 4 and the value of y is 0.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equations in the question,
y = -x + 4 (i)
y = 2x - 8 (ii)
Solve the equation for x and then solve it for y as well,
-x + 4 = 2x - 8
-x -2x = -8 -4
-3x = -12
x = 4
Substitute this in equation (i)
y = -4 + 4
y = 0
Therefore, the points are (4, 0)
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Please help Math answers
Answer:
on example 1, both are right triangles.
PLEASE HELP ME!!
Which estimation technique will yield a solution that is the farthest from the actual product of (-14.89)(1.35)
A) front-end estimation
B) rounding to the nearest tenth
C) rounding to the nearest whole number
D) compatible numbers
Answer:
C sorry if im wrong
Step-by-step explanation:
its what i think
Answer:
A. front-end estimation.
Step-by-step explanation:
I got it right on the test. It'd be appreciated if this was marked as brainliest.
can someone please help me with this question
Answer:
60 in^3
Step-by-step explanation:
You just multiply the base by the height.
Answer:600
Step-by-step explanation: hope this helps you
Samual has a collection of 80 marbles. in the collection, 20% of the marbles are red and the rest are blue. which statement accurately describes Samuels marble collection
Answer:
16
Step-by-step explanation:
To the nearest tenth, how many inches equal 12.55 centimeters? (1 in. = 2.54 cm)
Answer:
5.1
Step-by-step explanation:
all you do is divide 12.55 by 2.54
Answer:
5 inches.
Step-by-step explanation:
If each inch is 2.54, you basically have to divide 12.55 divided by 2.54. Which would equal 4.94094488189. That would round to 5, which means approximately, it equals 5 inches.
Sorry if this is incorrect, but I do believe it is correct, have a good day!
Enter the correct answer in the box.
What is the factored form of this expression?
64x^3 - 125
Write all factors in standard form.
9514 1404 393
Answer:
(4x -5)(16x² +20x +25)
Step-by-step explanation:
The factoring of the difference of cubes has a standard form:
a³ -b³ = (a -b)(a² +ab +b²)
Here, your knowledge of the cubes of small integers tells you that ...
64 = 4³
125 = 5³
So, in the above, we have ...
a = 4x, b = 5
and the factored form is ...
(4x -5)(16x² +20x +25)
Is it always true that dilations of a triangle are congruent to the original triangle
Answer:
A dilation is a transformation that changes the size but not the shape of a figure. Therefore, the image created by the dilation is not congruent to the pre-image, the original figure; it is similar. ... The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the pre-image.
Step-by-step explanation:
hope this helps ig
what dose a and x equal
2³x 5- (√-1) a+ 5a - 3÷ x³
The terms in which value of x when substituted leaves final value of p(x) = "0".
Here, x - 2 is factor. So value of x is 2.
Substituting value of x we get,
p(x) = x3 - 3x + 5a
p(2) = 2*3 - 3(2) + 5a
0+ 8-6 + 5a
-2 = 5a
a= -0.4
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