Answer:
See explanation
Step-by-step explanation:
An example of an equation with the distributive property would be:
3(x+4) = 30
The distributive property tells us:
3(x+4) = 3x+12, since the 3 carries into both x and 4.
Therefore, you have:
3x + 12 = 30
-> 3x = 18
-> x = 6
2(3+4)=? would be an equation that you can perform distributive property on.
To solve it, multiply 2x3 and then multiply 2x4 once you have the answers, add them together. That is how to use distributive property. Thanks!
Vhich of the following is most likely the next step in the series
Answer: C
Step-by-step explanation:
Seeing the pattern, the radius line moves 90° clockwise with each step. Therefore, C is the answer.
Determine the standard form of the equation of the line that passes through (6, - 9) and (-8, 6).
15x + 14y = - 36
15x + 14y = 36
b.
14x + 15y = -36
15x 14y = - 36
a
C.
d
Please select the best answer from the choices provided
OA
OB
OC
OD
Answer:
15x + 14y + 36 = 0
Step-by-step explanation:
As we travel from the point (-8, 6) to the point (6, - 9), the increase in x (the "run") is 14 and that in y (the "rise") is -15. Thus, the slope of the line segment connecting these two points is m = rise / run = -15 / 14.
Let's use the point (6, -9) and the slope m = -15/14 to write the equation of this line:
Adapting y = mx + b, we get:
-9 = (-15/14)(6) + b, or
-9 = -45/7 + b, which yields b = 45/7 - 9, or b = 45/7 - 63/7, or b = -18/7
Then the equation is y = (-15/14)x - 18/7
We must put this into "standard form." Multiplying all three terms by 14 to clear the fractions out, we get:
14y = -15x - 36, or (in standard form):
15x + 14y + 36 = 0
Question 5(Multiple Choice Worth 5 points) (07.01 MC)Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true? {1, 2} {1, 2, 3} {1, 2, 3, 4, 5} {2, 3, 4, 5}
Answer:
the answer is {2, 3, 4, 5}
Step-by-step explanation:
3(2) + 1 > 4 3 times 2 is 6+1=7>4 anything above 2 works
3(3) + 1 > 4
3(4) + 1 > 4
3(5) + 1 > 4
Answer:
D
Step-by-step explanation:
3x + 1 > 4
if x=1
3*1 + 1 > 4
3+1 > 4
4 not greater than 4
if x=2
3*2 + 1 > 4
6+1 > 4
7 > 4
if x=3
3*3 + 1 > 4
9+1 > 4
10 > 4
if x=4
3*4 + 1 > 4
12+1 > 4
13 > 4
if x=5
3*5 + 1 > 4
15+1 > 4
16 > 4
Thus, the set is [2,3,4,5], option 4 or D
Use the Discriminant to find the nature of roots of the following relation: y = -2x2 + 9x - 7
DO NOT SOLVE.
Answer:
two real roots
Step-by-step explanation:
y = -2x^2 + 9x - 7
This is in the form
ax^2 +bx+c
a = -2 b = 9 c = -7
The discriminant is
b^2 -4ac
(9)^2 - 4(-2) (-7)
81 - 56
25
Since the discriminant is greater than zero, there are two real roots
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -x + 6. What is the point-slope form
of the equation for this line?
Oy-3=(x + 8)
y +3=(x-8)
y + 8 = }(x-3)
y-8=-? (x + 3)
Answer:
D. y - 8 = - (x+3)
Step-by-step explanation:
y = - x + 6
Slope m = - 1.
Point (-3,8).
The point-slope form
y - y1 = m(x - x1)
y - 8 = - (x+3)
Point A is at -4 and point B is at 6. Which describes one way to find the point that
B
A
+
-5 4 -3 -2 -1
+
0 1
2
3
4
5
6
7
8
For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so th
For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so tl
For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so t
For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, sot
Answer:
D. For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
Step-by-step explanation:
The complete question is:
Point A is at –4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?
In a 3:2 ratio there are 3 + 2 = 5 equal parts.The distance between points A and B is: 6 - (-4) = 6 + 4 = 10 units.Each equal part is 10/5 = 2 units.Point 2 is at 2 - (-4) = 6 units from -4Point 2 is at 6 - 2 = 4 units from 6Ratio 6:4 is equivalent to ratio 3:2nick has 2 cars car A uses petrol car b uses desiel
5. A square box has a volume of 64
cubic inches. What's its perimeter?
a. 16
b. 8
C. 72
d. 68
Answer:
a.
Step-by-step explanation:
Volume of square = length³
64 = length ³
Taking cube root in both sides
We'll get
Length = 4
Now perimeter of square = 4×L
= 4×4
= 16
Two angle of a quadrilateral measure 140 and 80. the other two angels are in a ratio of 3:4. what is the value of x? what are the measures of those two angles?
Answer:
60° and 80°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Given 2 angles in ratio 3 : 4 = 3x : 4x ( x is a multiplier )
Sum the 4 angles and equate to 360
140 + 80 + 3x + 4x = 360, that is
220 + 7x = 360 ( subtract 220 from both sides )
7x = 140 ( divide both sides by 7 )
x = 20
Thus
3x = 3 × 20 = 60° and 4x = 4 × 20 = 80°
A program was created to randomly choose customers at a clothing store to receive a discount. The program claims 22% of the receipts will get a discount in the long run. The owner of the clothing store is skeptical and believes the program's calculations are incorrect. He selects a random sample and finds that 17% received the discount. The confidence interval is 0.17 ± 0.05 with all conditions for inference met.
Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)
Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.22 probability? Explain. (2 points)
Part C: Another random sample of receipts is taken. This sample is five times the size of the original. Seventeen percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)
Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain. (3 points)
There is 0.25 is in the range of (0.18, 0.26), there is no statistical evidence that the program is not working as intended.
There is statistical evidence that the program makes the discount with a 0.25 probability.
The new margin of error is 0.02.
There is not statistical evidence that the program is working as intended.
Given that,
The program claims 22% of the receipts will get a discount in the long run.
He selects a random sample and finds that 17% received the discount. The confidence interval is 0.17 ± 0.05 with all conditions for inference met.
According to the question,
The confidence interval is 0.22 ± 0.04, this equals, (0.22 + .04), (0.22 - 0.04) or (0.18, 0.26).The fact that 0.25 is in the range of (0.18, 0.26), there is no statistical evidence that the program is not working as intended.
As the established earlier, 0.25 is within the range of( 0.18, 0.26). This means that there is statistical evidence that the program makes the discount with a 0.25 probability.
By using the margin of error formula.
The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n.
From this formula the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%.
This means that the new me is equal to 0.04/2, which equals 0.02, which means that the new margin of error is 0.02.
By using the new me that the new CI is (0.22 ± .02)
This also equals(0 .22 - .02) ,(0 .22 - 0.02) or (0.2, 0.24) Because 0.25 is not within the range of (0.2, 0.24),
There is not statistical evidence that the program is working as intended.
To know about Margin formula click the link given below.
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A multi level parking lot has 6 levels and there are total of 1,327 parking spots.
1.
There are 162 parking spots on the first level. The rest of the parking spots are
distributed equally on the other 5 levels. How many parking spots are there on
the top level?
2.
There are 12 spots close to the 3 elevators reserved for drivers with disabilities
on each level. How many parking spots are reserved for drivers with disability
altogether?
3.
Other than the spots reserved for drivers with disability, there are 285 parking
spots for monthly rental and the rest are for hourly parking. How many spots are
there for hourly parking?
4.
The daily parking rate is $30. If Jack parks his car for 5 days a week and 4 weeks
in a month, how much does he pay for parking in a year?
Answer: (1) There are 233 parking spots on the top level
(2) There are 72 parking spots reserved for drivers with disabilities
(3) There are 970 spots for hourly parking
(4) He would spend $7200 for parking in a year
Step-by-step explanation: In the first instance, there is a total of 1327 parking spots altogether allocated into various categories.
(1) There are 6 levels in all, and the first level has 162 parking spots. herefore the remaining 5 levels would have 1165 parking spots left as shown below;
Remainder = 1327 - 162
Remainder = 1165
If however the remaining 1165 parking spots are distributed equally among the other 5 levels, then each level would have 233 parking spots each as shown below;
Five levels = 1165
Each level = 1165/5
Each level = 233
Therefore the top level has 233 parking spots
(2) On each level (out of all 6 levels), there are 12 spots reserved for drivers with disability. Therefore at all parking levels you would have 72 spots as shown;
Reserved spot per level = 12
Reserved spot for 6 levels = 12 * 6
Reserved spot for 6 levels = 72
Therefore there are 72 spots reserved for driver with disability
(3) Other than the spots reserved for drivers with disability (72), there are 285 parking spots for monthly rental. The rest are for hourly parking, and this is calculated as shown;
Hourly parking + monthly rental + reserved parking = 1327
Hourly parking + 285 + 72 = 1327
Hourly parking + 357 = 1327
Hourly parking = 1327 - 357
Hourly parking = 970
Therefore there are 970 spots available for hourly parking.
(4) If the daily parking rate is $30, and Jack parks his car for 5 days in a week, then he would spend
30 * 5 = 150
If he parks for 4 weeks in a month, then he would spend
150 * 4 = 600
Therefore to pay for parking in a year (12 months) he would spend
600 * 12 = 7200
Therefore he would spend $7,200 for parking in a year
use technology to determine an approximate solution to the system
y=-0.44x+12.6 and y=-7.21x-55.6. Explain the procedure.
Answer:
The approximate solution to both systems is y = 17.03256 & x = - 10.074
Step-by-step explanation:
Because we have 2 equations we can simply graph each of them simultaneously and find the answer.
First we are going to graph y = - 0.44x + 12.6
Now.. We are going to graph y = - 7.21x - 55.6
Now that we have graphed both of our functions we know that the locations where the two lines meet otherwise known as the intersect is the solution to the equation.
Now that we know coordinate of x at the intersection point of the two lines is: - 10.074, we can input this number in as a substitute for our x because x = - 10.074
Therefor to verify,
y = - 0.44(-10.074) + 12.6
y = 17.03256
and now we substitute y into the other equation and find for x...
17.03256 = - 7.21x - 55.6
x = - 10.074
5x-2y=305x−2y=30
Complete the missing value in the solution to the equation.
(8, )
Answer:
5
Step-by-step explanation:
For the point to be a solution to the equation, it has to lie on the line 5x -2y= 30 and therefore must satisfy the equation.
5x -2y= 30
When x=8,
5(8) -2y= 30
40 -2y= 30
40 -30= 2y (bring constant to 1 side)
2y= 10 (simplify)
y= 10 ÷2
y=5
Thus the missing value is 5.
Consider triangle ABC. The legs have a length of 5 units each.
Triangle A B C is shown. Angle A C B is a right angle. The lengths of sides A C and C B are 5. The length of the hypotenuse c is unknown.
What is the length of the hypotenuse of the triangle?
5 units
5 StartRoot 2 EndRoot units
10 units
10 StartRoot 2 EndRoot units
The right answer is 5√2
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
b). 5√2
Step-by-step explanation:
I need the answer and show work for this question
Answer:
f(3) =-12
f(-1) =-12
Step-by-step explanation:
HELLO THERE
f(3)=-2(3)^2+8(3)
f(3)=-36+24
f(3)=-12
----------------------------
f(-1) =2(-1) ^2+8(-1)
f(-1) =-4-8
f(-1) =-12
//Both equal -12//
HAVE A GREAT DAY
Answer:
Step-by-step explanation:
f(x) = -2x² + 8x
f(3) = -2*(3)² + 8*3
= - 2*9 + 24
= - 18+ 24
f(3) = 6
f(1)= -2*(-1)² + 8*(-1)
= -2*1 - 8
= - 2 -8
f(1) = -10
hi what is the answer
Answer:
a) pyramid / prism
b)cuboid / rectangle
Step-by-step explanation:
The first shape is a triangular prism. And the second shape is a rectangular prism.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
If the base of the prism is a triangle, then the prism is known as a triangular prism.
a) There are three rectangles and two triangles, then the shape will be a triangular prism.
b) There are four rectangles and two rectangles, then the shape will be a rectangular prism.
More about the rectangular prism link is given below.
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Solve the following:
a) 2(x + 3) = x -4
b) 4(5x - 2) = 2(9x + 3)
Answer:
2x + 6 = x -4
Step-by-step explanation:
a) 2(x + 3) = x -4
multiply 2 by x and 3 to get them out of the parentheses
2*x = 2x 2 * 3 = 6
2x + 6 = x -4
here is a little help so you can go on
Answer:
[tex]\text{a) } 2(x + 3) = x -4[/tex]
[tex]2x+6= x -4[/tex]
[tex]2x+6-6= x -4-6[/tex]
[tex]2x= x -10[/tex]
[tex]2x-x= x -x-10[/tex]
[tex]x=-10[/tex]
[tex]\text{b) } 4(5x - 2) = 2(9x + 3)[/tex]
[tex]20x - 8 = 18x+ 6[/tex]
[tex]20x - 8+8 = 18x+ 6+8[/tex]
[tex]20x = 18x+ 14[/tex]
[tex]20x-18x = 18x-18x+ 14[/tex]
[tex]2x = 14[/tex]
[tex]$\frac{2x}{2} =\frac{14}{2} $[/tex]
[tex]x=7[/tex]
Which of these best describes the location of (2,-7) on a coordinate grid?
Question 2 options:
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:Quadrant II
Step-by-step explanation:
The point is located in the second quadrant because x is negative and y is positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right
Find the Tolal Surface Area
Can someone pleasee hellppppp me .......
Answer:
g(0)=0 and g(1)=1
Step-by-step explanation:
Solve the equation 4y – 3 = 1 for y.
A.-1
B.0
C.1
D.2
Answer:
c
Step-by-step explanation:
4 times 1 is 4 and 4-3 is 1
Answer:
c. 1
Step-by-step explanation:
4y-3=1
cancel out the numbers
4y-3=1
+3 +3
4y=4
division,
y=1
hope this helps
Will mark right answer brainliest
Answer:
the location of the missing vertex of rectangle is (7,-4)
the lenght of the base of rectangle is 12
Step-by-step explanation:
height = 10
base =12
the length of a rectangle is the longest side of rectangle regardless it is vertical or horizontal side
A weather forecaster suggests the probability of rain on Saturday is 30% and on Sunday there is a 50% chance of rain. If the forecaster’s probabilities are correct what is the probability of no rain all weekend?
Answer:
20%
Step-by-step explanation:
How many 1/4 pound servings of walnuts, s, are in 3/4 pound of
walnuts?
Answer:
3 servings
Step-by-step explanation:
Take the number of pounds and divide by the size of the servings
3/4 ÷ 1/4
Copy dot flip
3/4 * 4/1
3/1 * 4/4
3 servings
Answer:
3
Step-by-step explanation:
To find this out, you need to use division. Divide 3/4 by 1/4.
3/4 divided by 1/4 equals 3.
So there are 3 1/4 pound servings in 3/4 pounds of walnuts.
Eric’s mother wants to help him with his math homework. She puts 24 cookies in the cookie jar. 12 of the cookies are chocolate chip, 8 are oatmeal and 4 are peanut butter. She then has Eric select a cookie from the jar without looking. Next, without replacing the first cookie, Eric picks a second cookie without looking in the jar. What is the probability that Eric will pick an oatmeal cookie first and a chocolate chip cookies second?
Answer:
12% 4% 8%
Step-by-step explanation:
Answer:
4/23
Step-by-step explanation:
there are 8 oatmeal cookies out of the 24 in the jar so the probability of pulling an oatmeal cookie out is 8/24 = 1/3
Then we have 23 cookies in the jar and 12 are chocolate chip
1/3 * 12/23 = 4/23
What is the first step in solving this equation:
5x + 7 = 12
Answer:
x =1
Step-by-step explanation:
5x +7=12
5x=12-7
5x=5
x=1
The solution of the equation is 1.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given equation;
5x +7=12
Subtract 7 on both side;
5x - 7 + 7 = 12-7
Divide by 5;
5x=5
or
x=1
The solution of the equation is 1.
Learn more about equations here;
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Find the value of the expression: \mid-13\mid\:-\:\mid-6\mid
Answer:
7
Step-by-step explanation:
[tex]\mid-13\mid\:-\:\mid-6\mid[/tex]
7
Please hurry
Which is a factor of x2+ 7x + 10?
Answer:
x+5
Step-by-step explanation:
x^2+7x+10=0
(x+5)(x+2)=0
The only factor on that list is x+5, meaning that it is the answer. Hope this helps!
____ angles are pairs of angles with measures that sum to 90 degrees
Answer:
Complementary
Step-by-step explanation:
COMPLEMENTARY angles are pairs of angles with measures that sum to 90 degrees.
Please help me ( This the the owner of this acc sister again) Please don't remove this!
Answer:
Sam won first, Craig won second, Randy won third, and Charlie won fourth.
Step-by-step explanation:
Sam won first, Craig won second, Randy won third, and Charlie won fourth. It's all a matter of which number is bigger, which means it took more time.
