*X can not be found, only simplified or factored)
5x+33+17x+37
Add the x units
22x+33+37
Add the 33 and 37
22x + 70
Subtract 77 to the other side
Simplify: 22x = -70
Factor: 2(11x+35)
The following graph shows a proportional relationship
What is the constant of proportionality between y and z in the graph?
y
6
5-
4
3+
2+
1+
6
Constant of proportionality=
Answer:
The constant of proportionality between 'y' and 'x' in the graph is 0.75
Step-by-step explanation:
The constant of proportionality is the constant ratio between two quantities that are directly proportional.
When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other
From the graph we have;
When x = 0, y = 0, all graphs of directly proportional relationships have x = 0 when y = 0
However;
When x = 2, y = 1.5
When there is an 100% increase, we have;
When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3
Therefore, when x = 4, y = 3
The constant of proportionality = The ratio between each 'y' and 'x' value
∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75
Therefore;
The constant of proportionality between 'y' and 'x' in the graph = 0.75.
Marco got 15 questions wrong on his 30-question test. What is his grade as a percent?
Answer:
15
Step-by-step explanation:
The grade percentage of Marco is 50%.
What is percentage?A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.
Given that, Marco got 15 questions wrong on his 30-question test.
We need to find his grade as a percent,
So,
Since he got 15 answers wrong,
Therefore, his correct answers = 30-15.
That mean his grade in marks = 15
Now, his grade in percent = 15/30 x 100 = 50%
Hence the grade percentage of Marco is 50%.
Learn more about percentage click;
https://brainly.com/question/29306119
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The heights of five-year-olds are Normally distributed with a mean of 42.5 inches and a standard deviation of 2.5 inches. A random sample of 16 five-year-olds is taken and the mean height is recorded. What would be the standard deviation of the sampling distribution of all possible samples of size 16?
0.16
0.63
2.5
2.66
Answer:
0.63
Step-by-step explanation:
Evaluate the function at the given value if f(x)= 5x-7 find f(2)
Answer:
3
Step-by-step explanation:
f(x)=5x-7
for f(2) just put 2 in place of x
so,
f(2)=5(2)-7
f(2)=10-7
f(2)=3
At Kolbens Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many use public transportation?
I really need help on this
Answer:
I think the answer is 4800.
Step-by-step explanation:
Usually people would use 1/10 or anything like that, but here 3/7 was used. in order to find 10 percent you would divide by 10, correct, well I did the same with 7. (because you must find 1/7) The question was 3/7, so I multiplied 1400 by 3, and my answer was 4800. (sorry if this wasn't understandable, im the the best at explaining things)
Solve for x show your work
Answer: The answer is -5
Step-by-step explanation:
4x - 3 = 6x + 7
- 7 -7
4x - 10 = 6x
-4x -4x
-10 = 2x
---------------
2
-5 = x
Answer:
x = -5
Step-by-step explanation:
4x - 3 = 6x + 7
Add 3 to both sides to isolate the variable:
4x = 6x + 10
Subtract 6x from both sides to keep x on 1 side:
-2x = 10
Divide by -2 to have the base value of x:
x = -5
x=?
Please help y’all
Answer:
35
Step-by-step explanation:
i believe it is 35 degree at is directly opposite to a 35 degree angle
Greyson rides his bike at a constant rate. In 30 minutes, Greyson can bike 7 miles. I need help on number 3.
Step-by-step explanation:
The answer is In the picture above
PLEASE!!!
A gym offers two different membership options. In the first option, new members pay a one-time fee of $50 and a monthly fee of $30. In the second option, members pay a one-time fee of $100 and a monthly fee of $20.
Suppose c is the total membership cost for m months. The two equations that model the two membership options are c = 30m + 50 and c = 20m + 100.
Part A
1. To find out when the cost will be equal, you will need to solve for m using substitution. Substitute the expression for the cost from the first equation into the cost, c, in the second equation.
2. Solve the equation in number 1 for m
3. Would you get the same solution if you substituted the expression for cost in the second option for c in the first equation? Why?
9514 1404 393
Answer:
30m +50 = 20m +100m = 5yes. symmetric property of equality.Step-by-step explanation:
1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...
c = 20m +100
gives you ...
30m +50 = 20m +100
__
2. Adding -50-20m to both sides gives ...
10m = 50
m = 5 . . . . . . . divide by 10
__
3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...
c = 30m +50
to get ...
20m +100 = 30m +50
This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).
You get the same solution.
If an item is discounted by 5 percent, and the final price is 57, what is the original price of the item?
Answer:
$59. 85 or rounding, $60 (I AM NOT COMPLETELY SURE)
Step-by-step explanation
I changed the percentage into a decimal (.05) and then multiplied it by the final price (57). After multiplying, I got, $2.85. I then added that to the final price to get, $59.85.
Antwan earned $9 for 1/2 of an hour of babysitting. At this rate, how much would Antwan make in 1 hour?
Answer:
$18
Step-by-step explanation:
double the value of 9 to get 18
What is the result of subtracting a number greater than -3 but less than -2 from a number greater than 1 and less than 6
Answer:
2/2 - 4 = -3
Step-by-step explanation:
I don't know really but, hopefully this helps. Are there any answer choices?
help i don't understand this!!
Answer:
30 cm
Step-by-step explanation:
Ted is making a red and yellow quilt with dimensions of 72 in by 90 in is how many square feet of fabric does he need
Answer:
https://socratic.org/answers/327824 click on the link
AHahahaahhahhah please please help no links please
Answer:
45
The scale factor is 9
So, 5 x 9 = 45
Find the slope of a line parallel to each given line.
o is the centre of the circle if ab equals 6 units oc perpendicular to ab with m on ab, and mc equal one unit find the length of om
find the value of tan30+cot30+sin60
Hello!
This is a problem about relating values of the Unit Circle.
First, we need to figure out the specific "points" of each angle measure of 30 and 60.
For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].
For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].
The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.
[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.
[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]
The sine value of a point will be the [tex]y[/tex] value of the point.
[tex]\frac{\sqrt{3}}{2}[/tex]
So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]
Now we have to find the LCD to add these together, which in this case would be 6.
[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]
Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.
Hope this helps!
Luke surveyed his friends to see how many minutes it takes each of them to get to school in the moming. The results are in the list below.
6, 11, 14, 4, 8, 8, 10, 9, 14
What is the mean of the data? (Round to the nearest tenth if necessary)
Answer:
9.3
Step-by-step explanation:
The real answer is 9.33333 but I did as you said and rounded to the nearest tenth.
I got this answer by adding up 6, 11, 14, 4, 8, 8, 10, 9, 14 and I got 84. Then I divided 84 by 9 and got 9.33333.
Sorry if I'm wrong.
Please mark me as Brainliest.
f(x)=-x^2+8x-14 using quadratic formula
Answer:
Were you looking for the x and y intercepts? The question is very misleading.
If you were the x intercepts are (4-√2,0), (4+√2,0)
And the y intercept is (0,−14)
If you did not mean this in your question please specify what you meant.
Answer:
[tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]
Step-by-step explanation:
Plug in given values of a, b, and c into the quadratic formula and solve for x:
[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x=\frac{-8±\sqrt{8^{2}-4(-1)(-14) } }{2(-1)}[/tex]
[tex]x=\frac{-8±\sqrt{64-56 } }{-2}[/tex]
[tex]x=\frac{-8±\sqrt{8} }{-2}[/tex]
[tex]x=\frac{-8±2\sqrt{2} }{-2}[/tex]
[tex]x=4±-\sqrt{2}[/tex]
Therefore, the roots are [tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]
Find the probability of rolling a 5 or greater on the first die and a 2 or greater on the second die
Answer:
The probability is 1/9
Step-by-step explanation:
The probability of rolling a 5 the first time is 1/6
The probability of rolling a number greater than 2
Numbers greater than 2 are 3, 4, 5, 6
So the probability of rolling a number out of these four is 4/6
So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be
1/6 * 4/6 = 4/36 = 1/9
Answer:
1/3, 5/6, and 5/18.
Step-by-step explanation:
If a die has 6 sides, then because there are 2 sides equal or greater than 5 (5 and 6), then there is a 2/6 or 1/3 chance of rolling the first die. On the second roll, there are 4 sides equal or greater than 5 (2, 3, 4, 5, and 6), so there is a 5/6 chance of rolling it. To find the probability of both happening, multiply 1/3 by 5/6 to get 5/18.
Ashley's bill from Red Lobster was $14.95. She
left a 15% tip, what was the total amount she
paid out?
Answer:
14.89
Step-by-step explanation:
what is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)?
Answer:
y=-2x-8.5
Step-by-step explanation:
y=mx+b
slope = -2
y=-2x+b
y intercept = -8.5
y = -2x-8.5
\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} x 4 −2x 3 x−5 ⋅ x 2 −3x−10 x 2 −4
Answer:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]
Required
Solve
Express [tex]x^2-4[/tex] as difference of two squares
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Factorize [tex]x^4 - 2x^3[/tex]
[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Cancel out x - 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]
Expand [tex]x^2 - 3x - 10[/tex]
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]
Factorize:
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]
Factor out x + 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]
Cancel out x - 5 and x + 2
[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]
[tex]\frac{1}{x^3}\cdot 1[/tex]
[tex]\frac{1}{x^3}[/tex]
Hence:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Lucky won 500$ in a lottery she used 25% to buy candies and saved the rest how much money did she save
Answer:
$375
Step-by-step explanation:
If she spent 25%, then she saved 75%.
75% of $500 is 375. 500(0.75)
Find the volume of the rectangular prism.
Write your answer in simplest form.
3/5m
4/9m
2/5 m
Answer:
8/75
Step-by-step explanation:
To find the volume of a rectangular prism you multiply the length, width, and height.
So you do (3/5)*(4/9)*(2/5), and to multiply fractions you multiply the tops by eachother, and then the bottoms by eachother.
So its (3*4*2) over (5*9*5)
which gives you 24/225 which simplifies to 8/75
What is the equation for the hyperbola shown?
X
V2
= 1
602
112
72
-
x2
112
1
602
72
x2
=
1
602
112
72
112
x2
602
1
Answer:
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
Step-by-step explanation:
Since the hyperbola opens left and right with a center at the origin, then
[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]
In the graph a = 60 and b = 11
So
[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
what is 4 to the third + 7
Answer:
71
Step-by-step explanation:
I hope this helps u! :D
Answer:
71
Step-by-step explanation:
4 to the third = 4 x 4 x 4 = 64
64 + 7 = 71
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you
Answer:
4) The error made was that you were supposed to multiply 5 and 2. The answer is supposed to be 43.
5) B) 18
6) 18
7) B) 20
8) B) 28
Step-by-step explanation:
4)
36 - 3 + 5 · 2
36 - 3 + 10
43
5)
3(7) - 3 = 18
6)
3(2) + 2(4) + 4 =
6 + 8 + 4 =
18
7)
24 ÷ 3 + 12 = 8 + 12 = 20
8)
5(6) - 2 = 30 - 2 = 28
heyyyyyyy besties um if someone wants to help me that would be great ‼️
Answer: constant
Step-by-step explanation:
Hope this help!