Answer:
80,543 employees total
Step-by-step explanation:
22.1% of total = 17,800 employees
0.221 of x = 17800
0.221 • x = 17800
x = 17800 / 0.221
x = 80542.98643
x ≈ 80543 employees total
A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled. Which statement correctly explains how to find the distance traveled after 150 hops?
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
on a number line, suppose point E has a coordinate of 3, EG=6, and EX=12. is G the midpoint of EX? what are the possible coordinates for G and X?
Answer:
could be, isn't necessarilyG = -3 or 9; X = -9 or 15Step-by-step explanation:
If E is 3 and EG is 6, then ...
G = E ± EG = 3 ± 6
G = -3 or 9
If E is 3 and EX is 12, then ...
X = E ± EX = 3 ± 12
X = -9, or 15
__
If X and G have the same sign, then G will be the midpoint of EX. If not, then G is not the midpoint.
That is, -3 is halfway between -9 and 3, just as +9 is halfway between 3 and +15. On the other hand, -3 is not between 3 and 15; nor is 9 between 3 and -9.
What is the fewest number of distinct points that must be graphed?
Answer:
2
Step-by-step explanation:
This depends on what type of graph, like quadratic, linear, etc. For linear it would be 2 points.
Which of the following statements is true for 6.24 repeated? Question 16 options: A) It's rational because 6. = 68∕33. B) It's irrational because 6. = 66∕25. C) It's rational because 6. = 66∕25. D) It's irrational because 6. = 68∕33.
Answer:
its a.)
Step-by-step explanation:
What is the volume of a rectangular prism 6 m by 2 m by 10 m
Answer:
120[tex]m^{3}[/tex]
Step-by-step explanation:
The formula for V (volume) is l*w*h (length*width*height).
You can substitute each part of the formula for the given units.
6m*2m*10m = V
6m*m2 = 12[tex]m^{2}[/tex]
12[tex]m^{2}[/tex]*10m = 120[tex]m^{3}[/tex]
120[tex]m^{3}[/tex] = V
1) solve 9(x-11)=9
2) solve 4(3x-2)=52
3) solve 44=2(3x-5)
4) solve 2x-4/5 = 4
5) solve 3x+2/2 = 13
6) solve 4x-5/5 = 3
7) solve 10x+4/7 = 8
8) solve 6x-1/2 = 1
I need full workings out please x
thank you
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
1) solve 9(x-11)=9
[tex]x = 12[/tex]
2) solve 4(3x-2)=52
[tex]x = 5[/tex]
3) solve 44=2(3x-5)
[tex]x = 9[/tex]
4) solve 2x-4/5 = 4
[tex]x = \frac{12}{5}[/tex]
5) solve 3x+2/2 = 13
[tex]x = 4[/tex]
6) solve 4x-5/5 = 3
[tex]x = 1[/tex]
7) solve 10x+4/7 = 8
[tex]x = \frac{26}{35}[/tex]
8) solve 6x-1/2 = 1
[tex]x = \frac{1}{4}[/tex]
( Sorry ! The questions are too much for me to add the explanation )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
see below explanation
Step-by-step explanation:
1. 9 (x - 11) = 9
9x - (9 * 11) = 9
9x - 99 = 9
x = 12
2. 4 (3x - 2) = 52
(4 * 3x) - (4 * 2) = 52
12x - 8 = 52
x = 5
3. 44 = 2 (3x - 5)
44 = (2 * 3x) - (2 * 5)
44 = 6x - 10
x = 9
4. 2x- 4/5 = 4
2x - 2²/5 = 4
5(2x) + (-2²) / 5 = 4
x = 12 / 5
5. 3x + 2/2 = 13
3x + 1 = 13
(3x + 1) + (-1) = 13 + (-1)
x = 4
6. 4x -5/5 = 3
4x - 1 = 3
(4x - 1) + 1 = 3 + 1
x = 1
7. 10x + 4/7 = 8
10x + 2²/7 = 8
7(10x) + 2² / 7 = 8
x = 26 / 35
8. 6x - 1/2 = 1
2(6x) + (-1) / 2 = 1
((2 * 6x) - 1 ) / 2 = 1
x = 1/4
Sophia earns $5 in allowance each week for doing her assigned chores. She earns an additional $0.50 for each extra chore that she does in a week. The graph shows the average amount of money she earns each week per additional chore. How can the horizontal asymptote be interpreted in this scenario?
Answer:
The answer is A. The horizontal asymptote is y=0.50 because as Sophia does more and more extra chores, the average amount of money she earns can never be equal or less than $0.50 per extra chores.
Step-by-step explanation:
Name the plane that contains points A, B, and C.
B
S
с
А
D
T
5
Answer:
Plane 'S'
Step-by-step explanation:
Since a plane is a two dimensional surface on which infinitely many points may lie.
In the picture attached, two planes (two dimensional) have been given.
Plane S
Plane T
Plane 'S' contains three points A, B and C and plane 'T' contains points D and E.
Therefore, the plane which contains points A, B and C is Plane 'S'.
The plane that contains points A, B and C is the plane S.
Plane Definition
A plane is simply a 2-dimensional surface or figure.
The above definition of a plane means that, there are only two planes in the given figure.
Plane in the figureThese planes are:
Plane SPlane TOn plane S, we have points A, B and C On plane T, we have points D and E.
Hence, the plane which contains points A, B and C is plane S.
Read more about planes at:
https://brainly.com/question/17268701
The second digit after the decimal point in a number is 4. What is the value of 4 in the number? 1 thousandth 4 thousandths 1 hundredth 4 hundredths
Answer:
D. 4 hundredths
Step-by-step explanation:
Hello!
The second digit after the decimal point is 4 is shown by
0.04
The points after a decimal point go tenths, hundredths, thousandths etc.
The answer is D. 4 hundredths
Hope this helps!
Answer:
4 hundredths
Step-by-step explanation:
For values of decimals one should note that each additional digit after the decimal is a multiple of (1/10).
Using this knowledge, the first digit would be tenths, the second digit hundredths, the third digit thousandths, etc.
Hence a 4 in the second digit after the decimal would be equivalent to 4 * (1/100) = (4/100) or 4 hundredths.
Cheers.
The diameter is 14 feet. What is the area of the garden. Use 3.14
Answer:
153.93804
Step-by-step explanation:
Area = π[tex]r^2[/tex]
r = [tex]\frac{d}{2}[/tex]
Area = π[tex]*7^2[/tex] = 153.938040026
Answer:
153.86Step-by-step explanation:
This is the answer because you have to use the formula
1. What do you have?
Formula: A = pi*r^2
Parts of Formula:
pi = 3.14
r = d/2
d = diameter = 14
r = radius = 7
2. Make Use of What you have
Make an equation:
pi * r^2
3.14 * 7^2 = A
3. Solve
3.14 * 7^2
= 3.14 * 49
= 153.86
SO the answer is 153.86Hope this helped,
Kavitha
can you help me find this answer
Answer:
a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.
Step-by-step explanation:
for question a, there are 18 girls in the class, this is how i worked it out:
the ratio of boys to girls is 4:3.
there are 24 boys.
24 is 6 times more than 4.
if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.
6x3= 18.
for question b i got 20 boys and 15 girls, this is how i did it.
there are 35 students in total.
4:3= boys to girls.
4+3=7
7 goes into 35 five times.
ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.
answer= 20 boys and 15 girls.
12 oranges is a better deal, this is how i worked it out.
it is 60 for 12 oranges.
it is 48 for 8 oranges.
12x5= 60 , 8x6=48.
you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.
Lee washes the outsides of houses. It takes him 40 minutes to power wash a one-story home, and he uses 180 gallons of water. Power washing a two-story home takes less than 90 minutes, and he uses a maximum of 5,000 gallons of water per week. Lee works no more than 40 hours each week, and his truck holds 500 gallons of water. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his weekly washing income washing houses. Let x represent the number of one-story houses and y represent the number of two-story houses.
What are the constraints for the problem?
Answer:
40x + 90y <2400
18x + 30y < 500
Step-by-step explanation:
Lee washes houses. It takes him 40 minutes to wash a one-story home, and he uses 18 gallons of water. Power washing a two-story home takes less than 90 minutes, and he uses 30 gallons of water. Lee works no more than 40 hours each week, and his truck holds 500 gallons of water. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his income washing one- and two-story houses. Let x represent the number of one-story houses and y represent the number of two-story houses. What are the constraints for the problem
Let
x=one story houses
y=two story houses
The constraints are the following:
1. Lee works no more than 40 hours each week.
40 hours=40 × 60 minutes
=2400 minutes
2. Lee's truck holds 500 gallons of water.
it takes Lee 40 minutes and 18 gallons of water to wash a one-story house.
it takes Lee 90 minutes and 30 gallons of water to wash a two-story house.
First constraint:
40*x + 90*y < 2400
40x + 90y <2400
Second constraint:
18*x + 30*y < 500
18x + 30y < 500
Answer:
It’s D
Step-by-step explanation:
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x - 7)
f(x) = (x + 2)(x + 7)
f(x) = (x - 3)(x + 7)
f(x) = (x+3)(x-7)
Answer: f(x) = (x + 3)(x – 7)
You welcome.
3x-6y=18 slope intercept form
Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Start by writing the equation out as it is given in the question (in this case, in standard form).
[tex]3x-6y=18[/tex]
Next, subtract [tex]3x[/tex] from both sides.
[tex]3x-3x-6y=18-3x\\-6y=18-3x[/tex]
Switch around the [tex]18[/tex] and the [tex]-3x[/tex].
[tex]-6y=-3x+18[/tex]
Finally, divide the equation by [tex]-6[/tex] to get rid of the [tex]y-variable[/tex] coefficient, which is [tex]-6[/tex].
[tex]\frac{-6y}{6}=\frac{-3x+18}{-6}\\y=\frac{1}{2}x-3[/tex]
As shown in that last step, the equation is slope intercept form is: [tex]y=\frac{1}{2}x-3[/tex]
Answer:
y = 1/2x - 3.
Step-by-step explanation:
3x - 6y = 18
-6y = -3x + 18
Divide through by -6:
y = 1/2x - 3.
Writing and Solving an Equation to Find Negative Integers Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers
Answer:
-23
Step-by-step explanation:
Let first negative integer = x
The second = x +5
Their product = 126, hence,
x * (x +5) = 126
x^2 + 5x = 126
x^2 + 5x - 126 = 0
Two numbers whose product gives - 126 and sun gives 5
x(x + 14) - 9(x+14) =0
(x - 9) = 0 or (x + 14) = 0
x = 9 or x = - 14
Since x is said to be a negative integer,, the our x = - 14
First integer = - 14
Second integer = (x + 5) = (-14 + 5) = - 9
Sum of both integers :
-14 + - 9 = - 23
Answer:
-23
Step-by-step explanation:
Doing it on EDG right now!
Can confirm that the person above me is correct!
Wish you all luck :)
what is the absolute value to |x|=8
Answer:
x = 8 or x = -8
Step-by-step explanation:
Answer:
absolute value will always be positive
the answer is x=8
What is 120% of 2,000
2400
Step-by-step explanation:120%×2000 =
= 120×2000/100
= 240000/100
= 2400
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{2400}}}}[/tex]Step-by-step explanation:
[tex] \sf{120\% \: of \: 2000}[/tex]
Convert the percent into a fraction
To convert the percent into a fraction , divide it by 100 and remove the % symbol.
[tex] \sf{ \frac{120}{100} \times 2000}[/tex]
Calculate
[tex] \sf{2400}[/tex]
Hope I helped!
Best regards!!
Which names are other ways to name angle 1?
Tristan got in the elevator at level 2. He then went 5 floors down towards the parking garage. Finally he went back up 6 floors and got out of the elevator. On which floor did Tristan exit the elevator?
Answer: 1st floor
Step-by-step explanation:
From the descriprion Tristan got in the elevator on the second floor (2nd). He went five floors down toward the Parking garage this meant at the end of the journey he was on the seventh (7th) floor of the building. He went back of six (6) More floors before existing the elevator this would put Tristan on first (1st) floor of the building.
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Triangles H K J and L N P are shown. Triangle L N P is smaller and to the right of triangle H K J. Statement Reason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2? CPCTC definition of supplementary angles triangle parts relationship theorem triangle angle sum theorem
Answer:
The correct option is;
Triangle angle sum theorem
Step-by-step explanation:
Statement [tex]{}[/tex] Reason
1. m∠H = 30° m∠J = 50°, m∠P = 50° m∠N = 100°[tex]{}[/tex] Given
2. ∠H + m∠J + m∠K = 180° [tex]{}[/tex] (Triangle angle sum theorem)
3. 30° + 50° + m∠K = 180° [tex]{}[/tex] (Substitution property)
4. 80° + m∠K = 180° [tex]{}[/tex] (addition)
5. m∠K = 100° [tex]{}[/tex] (subtraction property)
6. m∠J = m∠P; m∠K = m∠N [tex]{}[/tex] (substitution)
7. m∠J ≅ m∠P; m∠K ≅ m∠N[tex]{}[/tex] If angles are equal then they are congruent
8. ΔHKJ ~ ΔLNP [tex]{}[/tex] [tex]{}[/tex] AA similarity theorem.
Answer:
Triangle angle sum theorem
Step-by-step explanation:
What is the percent increase from 48 to 50?
Answer:
4%
Step-by-step explanation:
Since percentages are counted with % (100), we multiply 50 by 2 to get 100. We also 48 by 2 to get 96. Then we subtract 96 from 100 to get 4%.
48 increases by 4% o get 50.
Answer:
4 percent
Step-by-step explanation:
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Kevin was in a submarine 50 feet below sea level he dropped down 36 feet. How low is Kevin's submarine?
Answer:
The answer is 86 feet
Step-by-step explanation:
50+36=86
Hope this helps! （づ￣3￣）づ╭❤～
Answer:
14 feet
Step-by-step explanation:
The question asked was HOW LOW?
So you have to subtract it..
50 - 36=
14 feet.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
What is 50% of 80? part percent
Answer:
40
Step-by-step explanation:
10% = 80 ÷ 10 = 8
50% = 8 x 5 = 40
Hope this helps!
Answer:
40
Explanation:
50% = 80 ÷ 2 = 40
Hope this helps!
Expand and Simplify 3(4x + 1 ) -2(3x-4)
Answer:
[tex] \boxed{ \bold{ 6x + 11}}[/tex]Step-by-step explanation:
[tex] \mathsf{3(4x + 1) - 2(3x - 4)}[/tex]
Distribute 3 through the parentheses
[tex] \mathsf{12x + 3 -2(3x - 4)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \mathsf{12x + 3 - 6x + 8}[/tex]
Collect like terms
⇒[tex] \mathsf{6x + 11}[/tex]
Hope I helped!
Best regards!!
Answer:6x+11
Step-by-step explanation:do whats in the parenthesis first and then the answer that you got your going to use the same addition, or multuplication , or subtraction sign . then you will get your final answer/,
Which graph represents the system of equations? {2x+y=4 −x−3y=3}
Answer:
this is the answer
I think it is right
Find the difference of (3x^2 – 5x + 7) and (x^2+ 2x - 1).
a. Is 3x^2 – 5x + 7 a polynomial? If not, give an explanation.
b. Is x^2+ 2x – 1 polynomial? If not, give an explanation.
c. Is the difference a polynomial? If not, give an explanation.
d. If the difference is a polynomial, identify the constant term.
Answer:
Step-by-step explanation:
A polynomial is a mathematical expression in sum of powers with one or more variables multiplied by coefficients.
a) 3x² - 5x + 7 is a polynomial
b) x² + 2x - 1 is a polynomial
c) 3x² - 5x + 7 - [x² + 2x -1 ]= 3x² - 5x + 7 - x² - 2x + 1
{add like terms} = 3x² - x² - 5x - 2x +7 +1
= 2x² - 7x + 8
2x² - 7x + 8 is a polynomial
d) Constant term = 8
=
Find ST if S(-3, 10) and T(-2, 3).
Answer:
[tex] ST = 5\sqrt{2} [/tex]
Step-by-step explanation:
Given:
S(-3, 10)
T(-2, 3)
Required:
ST
SOLUTION:
Use the distance formula, [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find ST.
Where,
[tex] S(-3, 10) = (x_1, y_1) [/tex]
[tex] T(-2, 3) = (x_2, y_2) [/tex]
[tex] ST = \sqrt{(-2 -(-3))^2 + (3 - 10)^2} [/tex]
[tex] ST = \sqrt{(1)^2 + (-7)^2} [/tex]
[tex] = \sqrt{1 + 49} [/tex]
[tex] = \sqrt{50} = \sqrt{25*2} [/tex]
[tex] ST = 5\sqrt{2} [/tex]
-5а - 12а + 2b - 3Ь
Answer: Hi!
To simplify this expression, we will combine like terms.
-5a - 12a + 2b - 3b
-5a - 12a = -17a
2b - 3b = -1b
Our equation now looks like this:
-17a - 1b
We have nothing left to simplify, so we're done!
Hope this helps!
What do ratio and rate have in common
Answer:
Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, where for a ratio compares two numbers with the same unit.
Given that the quadrilateral is a parallelogram,
QS = 5x – 5 and RT=2x + 13, what is RT?
Answer:
25
Step-by-step explanation:
5x-5 = 2x+13
5x-2x = 13+5
3x = 18
x = 6
RT = 2(6) + 13 =25