Mathematics High School

Bill earns $87.50 per week and Jack earns $70.00 per week. What percent of Bill's salary is Jack's?

Answers

Answer 1

I believe it is 80%. Hope that helped.

Answer 2

Answer:

80%

Step-by-step explanation:

Let us suppose x percent of Bill's salary is equal to Jacks's salary.

Thus, we can write

x% of 87.50 = 70

Mathematically, we can write this as

[tex]0.0x\times87.50=70[/tex]

Solve the equation for x

[tex]0.0x=\frac{70}{87.50}\\\\x=\frac{70}{87.50}\times100\\\\x=80[/tex]

Therefore, Jack's salary is 80% of Bill's salary

Related Questions

Hiram sells kites to various corporations. To maintain his business, he must sell an average of 50 kites per month. After 5 months, Hiram has sold 30, 42, 77, 90, and 52 kites in each of the 5 months. How many kites would Hiram have to sell in the 6th month for him to meet his average of 50 kites?

Answers

Average = sum of values / number of values

=> sum of values = average * number of values

average = 50

number of values = number of months = 6

=> sum of values = 50 * 6 = 300

sum of values = 30 + 42 + 77 + 90 + 52 + x = 300

Where x is the number of kites that he has to sell to meet 300 kites sold.

x = 300 - 30 - 42 - 77 - 90 - 52 = 9

Answer: he has to sell 9 kites to meet the average of 50 kites monthly.

what are the domain range and asymptote of h(x)=(1.4)^x+5

Answers

the range is the set of all valid y values. (5,)

domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5

Rajan climbed to a height of 10 ft from the bottom of a climbing wall. He then climbed up an additional 5 ft. What must he do to return to the bottom of the climbing wall?

Select from the drop-down menus to correctly complete the statement.
Rajan must climb _____ _____ ft to return to the bottom of the climbing wall.

1. Rajan must climb up, down, left, right? (Which way is it)

2. 5 ft, 10 ft, 15 ft, 20 ft

Answers

I'm assuming this is a Pythagorean theorem problem. If so the answer would be √125

Answer:

Rajan must climb down 15 feet to return to the bottom of the climbing wall.

Step-by-step explanation:

Rajan climbed to a height of 10 ft from the bottom of a climbing wall.

He then climbed up an additional 5 ft.

So, in total he climbed [tex]10+5=15[/tex] feet

If Rajan wants to return to the bottom, he must climb down 15 feet.

Answer:

Rajan must climb down 15 feet to return to the bottom of the climbing wall.

Change each fraction to a decimal. If the division doesn’t end, round your answer to the nearest hundredth. a. 3⁄4 b. 7⁄16 d. 3⁄5 e. 7⁄40 f. 51⁄20

Answers

a. 0.75
b. 0.44
d. 0.6
e. 0.18
f. 2.55

Answer:

the other person forgot to answer c

Step-by-step explanation:

a 0.75

b 0.44

c 0.6

d 0.6

e 0.18

Front-row tickets for a concert cost $60. After every 5 rows, the ticket price goes down by $5. What is the total amount of money generated by a full house? Info: There are 20 rows that increase by 3 seats each time starting with 18.

Answers

I think I got it, but just in case...tell me the whole thing again. I wasn't listening.

n a 20 row theater, the number of seats increases by 3 with each successive row.  The first row has 18 seats.

a. Write an arithmetic series in summation notation to represent the number of seats in the theater,∑n=12018+3(n−1)b. What is the total seating capacity of the theater?
930 seats

c. Front row seats cost $60.  After every 5 rows, the price drops $5.  What is the amount generated by a full house?
$46950

2.  An arithmetic series has a first term of 4.  The sum of the first 40 terms is 6080.  Find the value of the 40th term?
use the formula
sum of first n terms = n/2 * (s1 + sn)
6080 = 40/2 * (4 + sn)

Simplify.

(-5.12) - (-4.7) + (7.021)

6.79
6.601
-2.799

Answers

The answer is 6.601, and therefore, the second option.

The answer is 6.601

(-5.12)-(-4.7)+(7.021)

= -0.42+7.021
= 6.601

Which of the following statements is true?

All trapezoids are parallelograms.
All parallelograms are trapezoids.
All rectangles are squares.
All rhombuses are rectangles.

Answers

Answer:

The answer is B. All parallelograms are trapezoids.

Step-by-step explanation:

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. That makes the opposite of facing sides are parallel to each other. The the definition of trapezoid is a convex quadrilateral with at least one pair of parallel sides. Therefore, all parallelograms are trapezoids.

The true statement among the given options is, B. All parallelograms are trapezoids.

A trapezoid is a quadrilateral with at least one pair of parallel sides, but it doesn't require all sides to be parallel. Therefore, not all trapezoids are parallelograms. (Statement A is false)

A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Every trapezoid has at least one pair of parallel sides, so it can be considered a special case of a parallelogram. Therefore, all trapezoids are parallelograms. (Statement B is true)

A rectangle is a quadrilateral with all four angles equal to 90 degrees. It has opposite sides that are parallel and equal in length. A square is a special type of rectangle with all sides of equal length. However, not all rectangles have all sides of equal length, so statement C is false.

A rhombus is a quadrilateral with all four sides of equal length. It has opposite sides that are parallel, making it a parallelogram. Since a rectangle is a parallelogram with right angles, and a rhombus is a parallelogram with equal sides. Therefore, statement D is also false.

Learn more about quadrilaterals here:

https://brainly.com/question/3113772

#SPj6

A crew of ten workers was hired to complete a job in 8 days. After working for two days, there was a new request to complete this job in two days. How many more workers need to be hired to finish this job in 2 days?

Answers

They would need to hire 20 more workers because they are 1/4 of the way done after the first two days. And that means they need to be 3/4 of the way done in the next 2 days, that means they have to be 3 times as productive from the first day and 10 times 3 equals 30, but they already have 10, so 30 - 10 = 20
THEY NEED 20 more workers
I hope it helps

Answer:

29 more workers are needed.

Step-by-step explanation:

Let us assume that the 10 workers, working at their normal rate would finish the job in exactly 8 days.

The rate of working for 1 worker is:

[ 1/10 of the job ] / [ 8 days ] = [ 1 job ] / [ 80 days ]

This is also [ 1/80 of the job ] / [ 1 day ]

In 2 days, the fraction of the job that gets done is:

[tex]2\times \frac{1}{80}=\frac{1}{40}[/tex]

Job left = [tex]1-\frac{1}{40} =\frac{39}{40}[/tex]

Now the rate has to be :

[tex]\frac{\frac{39}{40} }{2} =\frac{39}{80}[/tex]

Now, let w be the additional number of workers needed.

We get:

[tex]\frac{10+w}{80}=\frac{39}{80}[/tex]

Solving for w;

[tex]10+w=39[/tex]

[tex]w=39-10[/tex]

w = 29

Therefore, 29 more workers are needed.

-------------------------------------------------------------------------------------

There can be another approach as well.

Fraction of the job done by 10 workers in 2 days = 1/4

Remaining fraction = 1-1/4 = 3/4

Lets say W workers are needed more.

So, we can say that 3/4 of the work is to be done by 10+W workers.

Hence, it will take a total of 30 workers to complete the job.

Making it additional 20 workers.

NEED ASAP!!!!
In quadrilateral ABCD, diagonals AC and BD bisect one another:

What statement is used to prove that quadrilateral ABCD is a parallelogram?
Angles ABC and BCD are congruent.
Sides AB and BC are congruent.
Triangles BPA and DPC are congruent.
Triangles BCP and CDP are congruent.

Answers

Answer:Triangles BPA and DPC are congruent is used to prove that ABCD is a parallelogram.

Explanation:Here, we have given a quadrilateral ABCD in which diagonals AC and BD bisect each other.

If P is a an intersection point of these diagonals

Then we can say that, AP=PC and BP=PD ( by the property of bisecting)

So, In quadrilateral ABCD,

Let us take two triangles, [tex]\triangle BPA[/tex] and [tex]\triangle DPC[/tex].

Here, AP=PC

BP=PD,

[tex]\angle APB=\angle DPC[/tex] ( vertically opposite angles.)

So, By SAS postulate,[tex]\triangle BPA\cong \triangle DPC[/tex]

Thus AB=CD ( CPCT).

Similarly, we can prove, [tex]\triangle APD\cong \triangle BPC[/tex]

Thus, AD=BC (CPCT).

Similarly, we can get the pair of congruent opposite angle for this quadrilateral ABCD.

Therefore, quadrilateral ABCD is a parallelogram.

Note: With help of other options we can not prove quadrilateral ABCD is a parallelogram.

The congruence of triangles BPA and DPC, proven through the Side-Angle-Side postulate or other congruency postulates, can be used to prove that quadrilateral ABCD is a parallelogram when diagonals AC and BD bisect one another.

The statement used to prove that quadrilateral ABCD is a parallelogram when diagonals AC and BD bisect one another is that triangles BPA and DPC are congruent. The congruence of these triangles can be shown through the Side-Angle-Side (SAS) postulate or other congruency postulates depending on a given figure, and this property that diagonals bisect each other is a defining trait of a parallelogram. Therefore, by showing the congruence of triangles BPA and DPC, we can deduce that ABCD is a parallelogram.

Leanne is trying to choose between two party dresses that originally cost $120 one dress is on 1/4 off and the $40 what is the price of less expensive dress

Answers

the dress thats $40 off is less expensive. 1/4 of 120 is 30.

Which ordered pairs are solutions to the inequality 2y−x≤−6 ?

Select each correct answer.

(0, −3)

(2, −2)

(1, −4)

(6, 1)

(−3, 0)

Answers

try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.

we have

[tex]2y-x\leq -6[/tex]

we know that

if a ordered pair is a solution of the inequality

then

the ordered pair must satisfy the inequality

we will proceed to verify each case to determine the solution of the problem

case A) [tex](0,-3)[/tex]