Answer: $110,400
Step-by-step explanation:
From the question, we are informed that Abby works in the sales department and this month the company is offering a 3-week paid vacation to every employee who sells 230% of the amount sold last month. We are further told that Abby sold $48,000 products last month.
To calculate the amount of product that she need to sell this month to earn the vacation, we have to multiply the amount sold last month which is $48,000 by 230%. This will be:
= $48,000 × 230%
= $48,000 × 230/100
= $48,000 × 2.3
= $110,400
Answer:
110,400
Step-by-step explanation:
What is the equation that represents the sentence, "Twenty-four is the sum of a number and six " Use x for the variable.
24+6= x
24 = x+6
24+ X= 6
X= 6+ 24
Answer:
answer B
Step-by-step explanation:
i took test
24 = x+6 is the equation that represents the sentence, "Twenty-four is the sum of a number and six "
What is equation?Two or more expressions with an equal sign is called Equation.
The given sentence is
Twenty-four is the sum of a number and six ,
Let the other number be x.
By the given sentence, we are clear that we have to get 24 when a number and 6 are added.
Twenty-four is the sum of a number and six , we can write as
24=x+6
Therefore 24=x+6 is the equation that represents sentence "Twenty-four is the sum of a number and six ".
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6x^3 - 9x^2 + 4x - 6
Answer:
(3x2−2)⋅(2x−3)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((6 • (x3)) - 32x2) - 4x) + 6
STEP
2
:
Equation at the end of step
2
:
(((2•3x3) - 32x2) - 4x) + 6
STEP
3
:
Checking for a perfect cube
3.1 6x3-9x2-4x+6 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 6x3-9x2-4x+6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -4x+6
Group 2: 6x3-9x2
Pull out from each group separately :
Group 1: (2x-3) • (-2)
Group 2: (2x-3) • (3x2)
-------------------
Add up the two groups :
(2x-3) • (3x2-2)
Which is the desired factorization
Trying to factor as a Difference of Squares:
3.3 Factoring: 3x2-2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 3 is not a square !!
Ruling : Binomial can not be factored as the
difference of two perfect squares
Final result :
(3x2 - 2) • (2x - 3)
If I traveled 32 miles in 45 minutes, how long will I travel in one hour at the same rate?
Answer:
42 2/3 miles
Step-by-step explanation:
We want write ratios to solve
We want the same units so change 1 hour to 60 minutes
32 miles x miles
----------------- = -----------------
45 minutes 60 minutes
Using cross products
32 * 60 = 45x
Divide each side by 45
1920/45 = 45x/45
42.6(repeating) = x
42 2/3 miles
Answer:
32 X 60 : 45 = 42,6
42,6 miles in 60 minute
1 hour= 60 minute
cross product:
miles: 32 | ?
------------|-----------
time: 45 | 60
Please answer the question and please how the working out fully Thank you
Answer:
X will be equal to 36 degrees.
Step-by-step explanation:
A full angle of a pentagon is 108 degrees. A line connecting from a base corner to on the opposite side splits the pentagon into a rhombus and a triangle. In the triangle, two corners will be the same side, while the largest corner will be 108 degrees.
180-108 = 72
72 / 2 = 36
Therefore, x is equal to 36 degrees.
Hopefully this helps :)
At Bayshore, the ratio of girls to boys is 5:6. If there are 30 girls in the food court, how many boys can we expect to find?
Answer:
so the number of boys is 36
Step-by-step explanation:
let the number of boys be x
by using ratio and proportion rule
5:6=30:x
[tex]\frac{5}{6}=\frac{30}{x}[/tex]
by cross-multiplication
5×x=6×30
5x=180
x=36
i hope this will help you :)
Answer:
There are 36 boys
Step-by-step explanation:
girls : boys = 5 : 6
Number of girls = 5x
5x = 30
x = 30/5
x = 6
Number of boys = 6x = 6*6 = 36
evaluate 4^radical sign 8 to the nearest ten thousandth.
Answer:
50.4525
Step-by-step explanation:
4^(√8)
4^(2.82842712475)
= 50.452514
Round up to nearest ten thousandths.
please help to solve this
Find H.C.F
m^3 - 1, m^4 + m^2 + 1, m^2+ m + 1
Answer:
m^2+m+1
Step-by-step explanation:
m^3 - 1= (m-1)(m^2+m+1)m^4 + m^2 + 1= m^4+2m^2+1 - m^2= (m^2+1)^2 -m^2= (m^2+m+1)(m^2-m+1)m^2+ m + 1HCF= m^2+m+1 which is the factor of all three polynomials
Solve for xxx. Your answer must be simplified. -7x>10−7x>10
Answer:
x < -1 3/7
Step-by-step explanation:
-7x > 10
Divide each side by -7, remembering to flip the inequality
-7x/-7 < 10/-7
x < -10/7
x < -1 3/7
The value of x for the given inequality -7x > 10 can be simplified as a set of all values of x such that x < -1.4286.
Given an inequality:
-7x > 10
It is required to find the value of x.
In order to find the value of x, it is required to process the inequality in such a way that the variable x lies on one side isolated and constants on the other side of the inequality.
Consider:
-7x > 10
Divide both sides by 7.
[tex]-\text{x} > \frac{10}{7}[/tex]
[tex]-\text{x} > 1.4286[/tex]
Divide both sides by -1. The inequality sign changes since the division is by a negative number.
x < -1.4286
Hence the solution is x < -1.4286.
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Pls help a brother out!
Answer:
12 maybe the ANSWER.
hope it helps you
Answer:
Range = (-∞ , 6]
Step-by-step explanation:
Write down the inequality and then solve it to get the required solution.
Let's say "x" is the certain number.
4 + 3x <= 2x + 10
x <= 6
That's it, Best Regards!
How many ten-digit numbers have at least two equal digits?
Answer:
8,996,734,079 numbers
Step-by-step explanation:
First let's find the number of ten-digit numbers.
The maximum ten-digit number is 9,999,999,999 and the minimum is 1,000,000,000. So the number of ten-digit numbers is:
[tex]N(total) = 9999999999 - 1000000000 = 8,999,999,999[/tex]
Now, to find the number of ten-digit numbers with at least two equal digits, we can find the number of ten-digit numbers with all digits different, and then subtract this amount from the total ten-digit numbers.
To find the number of ten-digit numbers with all digits different, we can use the following logic:
The first digit can have 9 different values (0 not included), the second can also have 9 (one digit used), then the third can have 8 (two digits used), the fourth can have 7, and so on. So we have that:
[tex]N(different) = 9*9! = 3,265,920[/tex]
Then the number of ten-digit numbers with at least two equal digits is:
[tex]N(two\ equal) = N(total)-N(different) = 8999999999 - 3265920[/tex]
[tex]N(two\ equal) = 8,996,734,079[/tex]
Select the correct answer. A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r? A. B. C. D.
Answer:
V = [tex]\frac{3.14r^3}{12}[/tex]
Step-by-step explanation:
Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]
But, Given that radius of cone = r/2 of the cylinder
And,
Height of cone = Radius of cylinder i.e. h = r
Putting this in the above formula.
=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]
=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]
=> V = [tex]\frac{3.14r^3}{12}[/tex]
Answer:
(1/12) Pi r^3 option C on plato
Step-by-step explanation:
r = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volume of the cone is (1/12) Pi r^3
Help please not sure on the answer :)
Answer:
60
Step-by-step explanation:
5(a + 2) + 6(2a - 3)
Expand the brackets.
5a + 10 + 12a - 18
Add or subtract like terms.
17a - 8
Plug a = 4 and evaluate.
17(4) - 8
68 - 8
= 60
In parallelogram ABCD, points E and F are the midpoints of side AB and BC, respectively. A F meets DE at G and BD at H. What is the area of quadrilateral BHGE if the area of ABCD is 60?
Answer:
The area of the quadrilateral B-H-G-E is 7
Step-by-step explanation:
The area of the parallelogram = 60
It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S
Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S
ΔB-F-H is similar to ΔD-B_A scaled to 1/2,
Therefore;
The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,
ΔF-C-D = 1/4×S
ΔE-A-D = 1/4×S
The area of the quadrilateral B_H_G_E found as follows;
Area B_H_G_E = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)
Area B_H_G_E = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S
Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;
Area B_H G_E = 7/60×60 = 7
Which statement is true about centimeters and kilometers?
Answer:
Centimeters are smaller than kilometers
Step-by-step explanation:
Remember:
I also got stuck on this one.
Answer:
8 questions.
Step-by-step explanation:
100 - 2x = 84
-2x + 100 = 84
-x + 50 = 42
x - 50 = -42
x = 8
Trevor answered 8 questions incorrectly.
Hope this helps!
Answer:
8
8Step-by-step explanation:
100-2x=84
subtract 84 from both sides
16-2x=0
add 2x to both sides
16=2x
divide both by 2 to get x
x=8
hope this helped
Which statement describes a process to solve _/b+20 - _/D=5?
Add a radical term to both sides and square both sides only once.
O Add a constant term to both sides and square both sides only once.
O Add a radical term to both sides and square both sides twice.
O Add a constant term to both sides and square both sides twice.
Answer:
d
Step-by-step explanation:
double check your answer
Answer:
C. Add a radical term to both sides and square both sides twice
Step-by-step explanation:
We suppose you want to solve ...
[tex]\sqrt{b+20}-\sqrt{d}=5\\\\\sqrt{b+20}=5+\sqrt{d}\qquad\text{add a radical term}\\\\b+20=25+10\sqrt{d}+d\qquad\text{square both sides once}\\\\b-d-5=10\sqrt{d}\qquad\text{subtract right-side non-radical terms}\\\\(b-d-5)^2=100d\qquad\text{square both sides a second time}[/tex]
__
We note that the solution summary (choice C) doesn't mention the fact that you need to separate the remaining radical term from the others after the first squaring.
The result is a quadratic function that produces extraneous solutions. This is shown in the attached graph. The red function is the original relation between b (x) and d (y). The blue function includes the red function and another branch that is all extraneous solutions.
Pls hurryyy up I need it now....... A translation moves point V(-2, 3) to V (-2,7). Which are true statements about the translation?
The point moves two units left and four units up.
The transformation rule is (x,y) →(x+0.y+4)
The transformation is a vertical translation.
The image is four units to the left of the pre-image.
The translation can be described as (x,y) → (x-2.y+7)
Answer:
Only the y-coordinate changes by 4 so the true statements are that "The transformation rule is (x,y) →(x+0.y+4)" and that "The transformation is a vertical translation."
school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)
Answer:
12 adults and 4 kids were there that the fair
Step-by-step explanation:
Consider the system of four linear inequalities. The lines corresponding to these inequalities are shown in the graph below, along with the lettered regions they define. Which lettered region defines the solution to the system of inequalities?
Answer:
H
Step-by-step explanation:
If we look at the green line (x ≥ 3) we know that the solution must be shaded to the right of the line. The only region out of all of our answer choices that satisfies this is H.
2x^2-4x=0 Solve for x
Answer:
x = 0, 2
Step-by-step explanation:
Step 1: Factor out GCF
2x(x - 2) = 0
Step 2: Divide both sides by 2
x(x - 2) = 0
Step 3: Solve for roots
x = 0
x - 2 = 0
x = 2
Am i Correct???????????????????????????????????????
Answer:
Pretty sure its cylinder.
Step-by-step explanation:
Answer:
I think u should probably use a cylinder because it's quite more of the spherical shape
Step-by-step explanation:
Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x? f(x) = (x – 8)2 – 56 f(x) = (x – 4)2 + 0 f(x) = (x + 8)2 – 72 f(x) = (x + 4)2 – 32
Answer:
f(x) = x² + 8 - 16x
= x² - 16x + 8
= (x² - 16x + 64) - 64 + 8
= (x - 8)² - 56
Answer:
A. f(x) = (x – 8)2 – 56
Step-by-step explanation:
so much for expert verified, huh.. -_-
Given the function f(x) = 3x - 21 +6, for what values of x is f(x) = 18?
Answer:
C
Step-by-step explanation:
3|x-2|=18-6
3|x-2|=12
|x-2|=4
Ther are two options.
First;
x-2=-4
x=-2
Second;
x-2=4
x=6
If you don't understand, you can ask :)
Translate the following into an expression: 22% of b PLS HELP QUICK WILL GIVE BRAINLIEST IF CORRECT!!!!!!!! 10pts!!!!!!!!
Answer:
The above statement is written as
[tex] \frac{22}{100} \times b[/tex]
Hope this helps you
oof
Three triangles are shown on the centimetre grid.
b)
C
А
B
a)
Which triangle has the largest area?
b)
Work out the area of this triangle.
Give your answer as a decimal.
Answer:
triangle C has the largest area.
Step-by-step explanation:
From the the three triangles A, B, C based on the area occupied by the triangles, it can be seen that triangle C occupies the largest area.
On the centimetre grid, let each box represent one unit. For triangle A, the base is 2 boxes (i.e 2 units) and the height is 3 units, For triangle B, the base is 2 units and the height is 3 units while for triangle C, the base is 3 units and the height is 3 unit. The area of a triangle is given by:
Area = [tex]\frac{1}{2}base*height[/tex]
For triangle A:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *2*3=3 \ unit^2[/tex]
For triangle B:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *2*3=3 \ unit^2[/tex]
For triangle C:
Area = [tex]\frac{1}{2}base*height[/tex] = [tex]\frac{1}{2} *3*3=4.5 \ unit^2[/tex]
Therefore, triangle C has the largest area.
Answer:
triangle C
Step-by-step explanation:
Fifteen women can weed a piece of land in
12 days. How many more women will be
required to clear the same land in10 days
Answer:
Brainliest please
Step-by-step explanation:
15 women= 12days
find 10 days,
12÷10×15= 18women in ten days
how many more women, subtract 18 women and 15 women
=3 is the answer
find one-ninth of the difference between 49 and 13
Answer:
4
Step-by-step explanation:
First we need to find the difference by subtracting. 49-13 = 36
Then we fine one-ninth of 36. We do this by dividing 36 by 9
36 divided by 9 is 4.
if x+y=12 and xy=32,then find X and y
answer with explaination
Step-by-step explanation:
x+y=12-----1
xt=32-----2
from 1,
x=12-y-----3
sub 3 into 2
(12-y) y=32
12y-y²=32
y²-12y+32=0
(y-8)(y-4)=0"factorise"
y=8,y=4
sub y =8 into 1,
x+8=12
x=4
sub y =4 into 1
x+4=12
x=8
conclusion,
when x=4,then y=8
when x=8,theb y =4
Answer:
x = 4, y = 8 or x = 8, y = 4
Step-by-step explanation:
Given the 2 equations
x + y = 12 → (1)
xy = 32 → (2)
From 2
y = [tex]\frac{32}{x}[/tex]
Substitute y = [tex]\frac{32}{x}[/tex] into (1)
x + [tex]\frac{32}{x}[/tex] = 12 ( multiply through by x )
x² + 32 = 12x ( subtract 12x from both sides )
x² - 12x + 32 = 0 ← in standard form
(x - 4)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 8 = 0 ⇒ x = 8
Substitute these values into (1) for corresponding values of y
x = 4 : 4 + y = 12 ⇒ y = 8
x = 8 : 8 + 4 = 12 ⇒ y = 4
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference? Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250. Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90. No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90. No, Mr. Hernandez’s sample is not large enough compared to the population.
Answer:
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Step-by-step explanation:
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.
90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.
so, the percent of students who love social studies is given by:
28/90 x 100=31.11%
He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Answer:
C on EDG
Step-by-step explanation:
What is the slope of a line is parallel to y = (1/2)x+ 3?
Answer:
1/2
Step-by-step explanation:
y = (1/2)x+ 3?
This is in the form y= mx+b where m is the slope so this line has a slope 1/2
Parallel lines have the same slope
1/2