-6p - 2
Explanations:The given expression is:
0.5 (-12p - 4)
The expanded expression is gotten by letting 0.5 multiply -12p and -4 one by one.
The expression then becomes:
0.5(-12p) - 0.5(4)
Which further becomes:
-6p - 2
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. Find the weight per carton.
Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.
Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.
How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.
Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.
The weight per carton is 55 pounds.
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2. The box and whisker plot below shows the starting salaries for 120 graduates of a small college.
a) What is the range of the starting salaries?
b) About 30 graduates make below what amount?
c) How many graduates have a salary above $33,000 ?
d) $25 of the graduates make above what amount?
The range of the starting salaries is 53,000
Given,
The box and whisker plot below shows the starting salaries
The number of graduates in a small college = 120
We have to find the range of the starting salaries;
Range of a data;
The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.
Here,
Lowest value = 19,000
Highest value = 72,000
Then,
Range of the set = 72,000 - 19,000 = 53,000
That is,
The range of the given data set is 53,000
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What is the distance between the points (-1,4) and (7,4)?
Answer:
8
Step-by-step explanation:
=(7−(−1))2+(4−4)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(8)2+(0)2‾‾‾‾‾‾‾‾‾‾√
=64+0‾‾‾‾‾‾√
=6‾√4
=8
QUESTION 4 of 10: An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media
and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV advertising
and 35% is spent on radio advertising. How much is spent on radio advertising?
ОООО
a) $437,500
b) $525,000
c) $687,500
d) $1,500,000
Answer:a
Step-by-step explanation:trust me bro
k) -3 x 9 = -27
l) 4 x (-6) = -24
m) 6 x 7 = 42
n) -7 x 8 = -56
o) -13 x -9 = 117
p) 9 -3 = -3
q) -24 6 = -4
r) -56 -8 = 7
s) 26 -5 = -5.2
t) -64 7 = -9.14
are these correct?
The expressions k to t are evaluated correctly
How to determine if the expressions are correctFrom the question, we have the following parameters that can be used in our computation:
The expressions k to t
To determine if the expressions are correct, we evaluate each expression and state if it is correct or not
Using the above as a guide, we have the following:
k) -3 x 9 = -27: Yes, this is correct.l) 4 x (-6) = -24: Yes, this is correct.m) 6 x 7 = 42: Yes, this is correct.n) -7 x 8 = -56: Yes, this is correct.o) -13 x -9 = 117: Yes, this is correct.p) 9 / -3 = -3: Yes, this is correct.q) -24 / 6 = -4: Yes, this is correct.r) -56 / -8 = 7: Yes, this is correct.s) 26 / -5 = -5.2: Yes, this is correct.j) -64 / 7 = -9.14 This is correct when approximatedRead more about expressions at
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Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
Lines m and n are parallel. Which of the other 5 named angles have a measure of 110°?
Press the hotspot for all that apply.
Answer:
2 and angle that is left of 5
Step-by-step explanation:
Angle 2 is vertical from 110, and vertical angles are congruent. From this, we can figure out that 2 and 3 (they're supplementary) are 70. Angles 5 and 3 are Alternate Interior Angles, and therefore must be congruent. The one to the left of 5 is supplementary to it, and therefore must be 110. Your answers are angle 2 and the angle that is left of 5.
What’s the equation?
Answer:
Ns
Step-by-step explanation:
enn e
1. Which of the following are equivalent to 24?
Select all that apply. Then choose 2 of your
selection and explain or show how they are
equivalent to 24.
a. 2 x 2
b. 2 2
C.4-22
d. 4X4
e24
f. 8 X 2
g. 26 : 2
Answer:
a
Step-by-step explanation:
What is the volume of the triangular prism?
please help!! quickly its a test a look at the picture
7th grade math
Which of the following measures of variability is not dependent on the exact value of each score? a. range b. mean deviation c. standard deviation d. variance
Range is the measure of variability which is not dependent on the exact value of each score.
In terms of variability, range is independent of the exact value of each score, and in terms of central tendency, median is the measure that is independent of the exact values of each score.
What is a range?
Range is basically the difference of the highest and the lowest value of a series. The range has nothing to do with the exact value of each score. It just considers the highest and the lowest values of any given class for its calculation.
Range= highest value- Lowest value
That is the reason, why, Range is the independent measure of variability.
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Solve the inequality below. Use the drop-down menus to describe the solution and its graph. 7 13 11 Click the arrows to choose an answer from each menu. The solution to the inequality is Choose.... Choose... A graph of the solution should have Choose.... and be shaded to the
Answer:
\(x \leq -4\)
There will be a filled-in hole at -4.
Step-by-step explanation:
We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)
\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)
The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.
For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.
In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.
A filled-in hole means the number is included in the inequality, while an empty one means it isn't.
In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.
Which equation represents the amount inthe account after t years if the interest in compounded daily.
The formula for compound interest is:
\(A(t)=P(1+\frac{r}{n})^{nt}\)Where:
A is the amount in the account after t years.
P is the amount initially invested.
r is the rate of compounding per year, in decimal.
n is the number of times compounded in a year.
t is the number of years since the initial investment.
The problem tells us:
The initial amount is P = 12000
The annual compounding rate is 4.5%, to convert to decimal, we divide by 100:
\(r=\frac{4.5}{100}=0.045\)Since the amount is compounded daily, it's compounded 365 times a year. Thus, n = 365
Now we can write:
\(A(t)=12000(1+\frac{0.045}{365})^{365t}\)Which is option 3
Thus, the correct answer is option 3:
\(A(t)=12000(1+\frac{0.045}{365})^{365t}\)
If x=2y+5 and x=3y-6, what is the value of x?
3. MP Be Precise How can you use a unit rate to determine if a relationship is proportional?
Answer:
If all the ratios are equal, then the relationship is proportional. If all the ratios are not equal, then the relationship is not proportional.
I hope this helps
Step-by-step explanation:
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.
The values of the constants m and c include the following:
m = -1.3
c = 7.1
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;
2 = -7m + c ...equation 1.
-11 = 3m + c ...equation 2.
By solving the system of equations simultaneously, we have:
2 = -7m - 3m - 11
11 + 2 = -10m
13 = -10m
m = -1.3
c = 7m + 2
c = 7(-1.3) + 2
c = -7.1
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Which table represents the same linear relationship as the equation y=5x+7
Answer:
The answer will be Table 1
Use elimination
X+y =9
X-y=7
Answer:
x = 8
y = 1
Step-by-step explanation:
x + y = 9
- ( x - y = 7)
-------------------
2y = 2
y = 2/2
y = 1
x + y = 9
x + ( 1 ) = 9
x = 9 - 1
x = 8
the product of a number and twice that number is 800. what are the numbers
The two numbers are 20 and 40
How to calculate the numbers ?Let n represent the unknown
Next is to find the the products of both numbers
n × 2n= 800
2n²= 800
n²= 800/2
n²= 400
n= √400
n= 20
The first number is 20
The second number 2(20)= 40
Hence the two number are 20 and 40
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Jamie borrowed $361.75 from his uncle,
who has agreed to charge him a monthly
simple interest rate of 2.5%. Jamie pays
his uncle back in 7 months.
Answer:
Jamie will pay back a total of 370.79
Step-by-step explanation:
361.75 x 1.025
Simple interest is not compounded so just multiply the borrowed amount by
1 + .025
He pays 370.28125.
What is Simple Interest?Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given:
Jamie borrowed = $361.75
Simple interest = 2.5%
As, Simple interest is not compounded.
so,
361.75 x 1.025
=370.28125
Hence, he pays 370.28125.
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The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
Jermaine kicked a soccer ball at a speed of 24 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 24t. Determine the time the ball traveled. (1 point) t = 24 seconds t = 8 seconds t = 1.5 seconds t = 0.67 seconds
The time that the ball traveled is given as follows:
1.5 seconds.
How to obtain the time traveled by the ball?The quadratic function determining the ball's height after t seconds is given as follows:
H(t) = -16t² + 24t.
The roots of the quadratic function in this problem are given as follows:
-16t² + 24t = 0.
16t² - 24t = 0
8t(2t - 3) = 0.
Hence we apply the factor theorem as follows:
8t = 0 -> t = 0.2t - 3 = 0 -> 2t = 3 -> t = 1.5.Hence the time is given as follows:
1.5 - 0 = 1.5 seconds.
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If the sum of three consecutive numbers is 852, what is the middle one?
Divide the total by the quantity of numbers:
852/3 = 284
Because there are an odd quantity of numbers (3) the answer is the middle number.
The answer is 284
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Raise the monomial to a power.
-4ax³ to the power of 3.
The question was hard to follow but I tried my best. Lmk what I can do if it is in incorrect format.
Have a nice day
The list below gives the number of people who made the trip for a selection of nine summer days 2756 64 36 40 29 2756 and 30 find the range of the data set
Answer:
The range is 37
Step-by-step explanation:
highest - lowest = range
64-27= 37
Hope it helped! :)
Can someone please help with question 2 for my little brother in 4th grade?
Answer:
Susie is correct. And Sammy rounded to the nearest thousand.
Step-by-step explanation:
Susie rounded 39,090 to 39,000 because for thousands you round to the hundredth. And Sammy rounded the 90 to 1,000, but really it should have been rounded to the hundredth. Short story short Susie rounded right and Sammy got it wrong because he/she rounded the the nearest thousand not the hundredth.