Hey there!
DISTRIBUTE
3(–2x – 3) + 4x – 3 = 8
3(–2x) + 3(–3) + 4x – 3 = 8
COMBINE LIKE TERMS
–6x – 9 + 4x – 3 = 8
–2x – 12 = 8
ADD by 12 on BOTH SIDES
–2x – 12 + 12 = 8 + 12
CANCEL out: –12 + 12 because that gives 0
KEEP: 8 + 12 because it helps us solve for x
“8+ 12 = 20”
–2x = 20
DIVIDE by –2 on BOTH SIDES
–2x/–2 = 20/–2
CANCEL out: –2/–2 because that gives 1
KEEP: 20/–2 because that gives you x
“x = 20/–2”
Answer: x = –10 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
HELP WILL GIVE BRAINLIEST ANSWER PLUS 50 POINTS!
Find the point below that lies on the line y- 5 = 7(x-6).
O A. (4,-3)
B. (3,-1)
C. (6,5)
O D. (5,6)
O E. (1,-5)
Answer:
The answer is C
Step-by-step explanation:
Answer:
the answer is c sorry
Step-by-step explanation:
Which of the following graphs represents a function?
9514 1404 393
Answer:
(a) see below
Step-by-step explanation:
The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.
Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?
Answer: 1,152 toys can be stored in the box.
Step-by-step explanation:
For an object with measures L (length) by W (width) by H (height) the volume is calculated as:
V = L*W*H
We know that the measures of each toy are: 4in x 3in x 3in
Then the volume of each toy is:
V = 4in*3in*3in = 36in^3
The toy box is 4ft x 2ft x 3 ft
First we should write the measures in the same units as before, we know that:
1ft = 12 in.
Then:
4ft = 4*12 in = 48 in
2ft = 2*12in = 24in
3ft = 3*12in = 36in
Then the measures of the box are:
48in x 24in x 36in
Then the volume of the box is:
V = 48in*24in*36in = 41,472 in^3
Now, the number of toys that can be stored in the box is the same as the number of times that 36in^3 is in 41,472 in^3
this is equal to the quotient between 41,472 in^3 and 36in^3
N = 41,472 in^3/36in^3 = 1,152
1,152 toys can be stored in the box.
Write the ratio 3/9 4/9 in simplest form
Answer:
3/9 is 1/3 but 4/9 is already simplified :D
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:
What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)
Answer: Choice D
[tex](-\infty, -2) \cup [4, \infty)[/tex]
=====================================================
Explanation:
The left portion is the interval (-∞, -2)
This is a shorthand way of saying [tex]-\infty < x < -2[/tex]
The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.
In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to [tex]4 \le x < \infty[/tex]
Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.
All of this builds up to the full interval notation to be [tex](-\infty, -2) \cup [4, \infty)[/tex]
The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
Triangle ABC is shown below. Which point is the coordinate of the image of
Step-by-step explanation:
there is no image how am I supposed to solve it
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps :)
Solve for x.
ASAP, please help me
Answer:
8
Step-by-step explanation:
180=90+40+6x+2
180=132+6x
48=6x
x=8
Answer:
x=4 i think havent done this in a long time
Step-by-step explanation:
DeAndre bench pressed 300 pounds yesterday. Today, he was weak sauce and could only bench press 175 pounds. By what percent did the weights decrease? *
10 points
Answer:
75%
Step-by-step explanation:
Dont have to graph it, just tell me the answers, I kinda need this now :v
Answer:
3/4(n)+1
3/4(8)+1=
6+1=7
3/4(12)+1=
9+1=10
3/4(14)+1=
10.5+1=11.5
3/4(20)+1=
15+1=16
I hope this helps:
PLEASEHELP!
ANSWER CHOICES:
A)189
B)329
C)161
D)84
Answer:
329
Step-by-step explanation:
help ....................................................
Answer:
i think it's the subtraction one
Step-by-step explanation:
because if you find out what b is maybe you will get 2 1/2
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.
9514 1404 393
Answer:
circle of radius 27 inches
Step-by-step explanation:
Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.
The cross section is a circle of radius 27 inches.
2x + 8=12 what is the value of 4x + 2
Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation:
A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?
Answer:
20 $50 bills
8 $10 bills
Step-by-step explanation:
Find how many $10 and $50 bills are in the cash register.
Make a systems of equations:
t = Amount of $10 bills
f = Amount of $50 bills
10t + 50f = 1080
t + f = 28
Lets solve for $50 bills first:
10t + 50f = 1080
-10(t + f = 28) = -10t - 10f = -280
----------------------
Solve for f:
10t + 50f = 1080
-10t - 10f = -280
40f = 800
Divide both sides by 40.
f = 20
There are 20 $50 bills.
Now we need to find how many $10 bills are in the register.
Plug in 20 to "f" in one of the equations and solve for "t".
Solve:
t + 20 = 28
Subtract 20 from both sides.
t = 8
There are 8 $10 bills.
Your answer should be:
20 $50 bills
8 $10 bills
Identify the slope and y- intercept y=2x + 2
Answer:
Slope:2
Y-int:2
Step-by-step explanation:
y=m(slope)x+b(y-int)
Answer:
Slope is 2, Y-intercept is 2
Step-by-step explanation:
Point-slope form is y=mx+b
m=slope
b=y-intercept
Hope this helped.
write the standard number 723,600 in scientifict notation
Answer:
723,600 = 7.236 × [tex]10^{5}[/tex]
Step-by-step explanation:
Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.
Angles in a triangle
Answer
1=62
2=45
3=24
Angle 1
1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).
1+118=180
180-118=1
1=62
Angle 2
The angles in a triangle add up to 180 degrees.
You know that angle 1 is 62 degrees.
And the other angle is 73 degrees.
You can now find angle 2.
62+73+2=180
2=180-62-73
2=45
Angle 3
Angle three is in a different triangle.
You already know that the angles in a triangle added up are 180 degrees.
The other missing angle in the triangle can be found by subtracting 73 from 180.
180-73=107
Now you know that two of the angles in the triangle are 107 and 49.
You can now find angle 3.
107+49+3=180
3=180-107-49
3=24
Look in the document
What is the sample space of rolling a 6 sided number cube? SELECT ALL THAT APPLY
1
2
3
4
5
6
Answer:
Its all of them or just 6
Step-by-step explanation:
Factor 24x – 18 using the GCF
Answer:
24x – 18
6(4x-3)is required factor.
can u pls help me with this question asap
Answer:
$14670
Step-by-step explanation:
Selling price of the house = $326000
Commission rate of the agency = 4.5%
Commission amount earned by the agency = 326000 × 0.045
= $14670
Commission rate of the agent = 20% of commission earned by the agency
= [tex]\frac{20}{100}\times 14670[/tex]
= $2934
Therefore, agency made $14670 on the house.
which is an equation for the line shown?
y=3
x=3
y=-3
x=-3
Answer:
x+-3
Step-by-step explanation:
Convert -3 2/7 into an improper fraction.
Answer: -23/7
Step-by-step explanation:
Why is it impossible for m
Answer:
? What M? What is impossible?
write the equation of the line for the following table of values.
x. -3 -5 -7 -9 -11
y. -16 -26 -36 -46 -56
Plz helppp 35 points:)
Answer:
We conclude that the equation of the line is:
[tex]y = 5x + 1[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
(-3, -16)(-5, -26)Determining the slope between (-3, -16) and (-5, -26)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]
[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]
[tex]m=5[/tex]
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
[tex]y = mx+b[/tex]
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y = 5x + 1[/tex]
Therefore, we conclude that the equation of the line is:
[tex]y = 5x + 1[/tex]A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?
a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.
b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.
e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.
Answer: c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Step-by-step explanation:
Mean of the sampling distribution of the sample proportion = p (Population proportion.)
Here, the population proportion of those who make a donation when contacted by phone is known to be p=0.05.
Then, Mean = p = 0.05
Hence, the correct option is
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
This question is based on the concept of statistics. Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Given:
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion p=0.05. For samples of size 100.
According to the question,
Mean of sampling distribution of the sample proportion = p (Population proportion.)
It is given that, the population proportion of those who make donation when contacted by phone is known to be p=0.05.
Thus, Mean = p = 0.05
Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
For more details, prefer this link:
https://brainly.com/question/10211620
4x< 20; x = 20
can you show me the work?
Answer:
Step-by-step explanation:
Here you go mate
Step 1
4x<20 Equation/Question
Step 2
4x<20 Simplify
4x<20
Step 3
4x<20 Divide by 4
answer
x<5
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
HopeItHelps you
#CarryOnLearning