Christopher is deciding between two landscaping companies for his place of business. Company A charges $30 per hour and a $200 equipment fee. Company B charges $50 per hour and a $100 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the number hours,
t
,
t, that would make the cost of each company the same.

Answer:

Distributive

Step-by-step explanation:

Distributive Property

Answer:

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

Step-by-step explanation:

Given

Total length of one roll of ribbon = 9 feet

As the pieces have to be cut into inches, we will convert the measurement in feet to inches

As there are 12 inches in one feet, 9 feet will be equal to:

9*12 = 108 inches

Now first of all, we have to see how many 15 inches pieces can be cut from one role

So,

[tex]=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2[/tex]

So the seamstress can cut 7 15-inch long pieces from a roll.

Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:

[tex]= 5 * 7 =35[/tex]

Hence,

The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35

Given,

Total number of votes casted = 42,000

The winner received 3/5 of the votes.

To find,

How many votes did the winner not receive.

Solution,

Votes received by the winner is :

[tex]\dfrac{3}{5}\times 42000\\\\=25200[/tex]

Votes didn't received by the winner = Total votes - votes received

= 42,000 -25200

= 16800

Hence, 16800  votes is not received by the winner.

Step-by-step explanation

2.5 cups = 5servings

x cups = 8servings

2.5*8 = 5*x

20 = 5x

divide both sides by the coefficient of x

20/5 = 5x/5

4 = x

i.e x = 4

Answer:

The population mean (μ) = 26.

Step-by-step explanation:

a) Data and Calculations:

The population characteristics = 20 and 36

Total population of interest = 56 (20 + 36)

Number of groups in the population = 2

Therefore, the population mean (μ) = 56/2 = 28

b) Based on the parameters given in this example, the population mean equals the average of the group characteristic (attention span of individuals in minutes) or item of interest.  The population mean is calculated by adding the values of the group characteristic and then dividing the result by the number of values.

Answer:

D. 7 intervals of 500 feet

Step-by-step explanation:

Got it right

Jamie used 5 intervals of 1000 feet as per the given data. The correct option is b.

A tally chart is a straightforward method of recording and counting frequencies. Each occurrence is represented by a tally mark, and every fifth tally is drawn diagonally to form a five-pointed star.

The first interval has a frequency of 7, which corresponds to the first 7 data points in the list:

1010

1470

1600

2000

2800

1053

1495

The last interval has a frequency of 2, which corresponds to the last 2 data points in the list:

2310

4260

Since there are 25 data points in total, and the first 7 and last 2 have been accounted for, that leaves 16 data points for the remaining intervals.

If Jamie used 1000-foot intervals, each interval would cover a 1000-foot range. The remaining data points range from 1200 to 4200 feet, so they are divided into 1000-2000, 2000-3000, and 3000-4000 foot intervals.

If Jamie used 500-foot intervals, each interval would cover a 500-foot range.

Thus, because the remaining data points range from 1200 to 4200 feet, they are divided into 1000-1499, 1500-1999, 2000-2499, 2500-2999, 3000-3499, 3500-3999, and 4000-4499 foot intervals.

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Answer:

[tex]25 {x}^{4 } - 49[/tex]

Answer:

We conclude that the percent of decrease = 20%

Step-by-step explanation:

Given

Using the formula

Percent of decrease = ( amount of decrease / orignal amount × 100 ) %

                                   = ( 786 / 3930 × 100 ) %

                                    = ( 0.2 × 100 ) %

                                    = 20%

Therefore, we conclude that the percent of decrease = 20%

Answer:

the first 7 has a value of 7,000 while the second 7 has a value of 700

Answer:

17 4/7

Step-by-step explanation:

we'll need to divide 123 by 7

123/7= 17 R 4

But she can't have an extra 4 miles out so,

17 4/7

Answer:

C

Step-by-step explanation:

If the parabola opens upward, it has a minimum.

If it opens downwards, it has a maximum.

Every quadratic function either has a maximum or minimum value is true, because the graph of a quadratic function is a parabola that either opens downwards or upwards.

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2.

Three properties that are universal to all quadratic functions:

1) The graph of a quadratic function is always a parabola that either opens upward or downward (end behavior).

2) The domain of a quadratic function is all real numbers.

3) The vertex is the lowest point when the parabola opens upwards; while the vertex is the highest point when the parabola opens downwards.

According to the question

Every quadratic function either has a maximum or minimum value.

As per the properties of Quadratic Function

This statement is true as

i> the graph of a quadratic function is a parabola  

ii> The vertex is the lowest point when the parabola opens upwards or the vertex is the highest point when the parabola opens downwards.

Hence, Every quadratic function either has a maximum or minimum value is true, because the graph of a quadratic function is a parabola that either opens downwards or upwards.

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Answer:

it goes by  +4 and -4

Step-by-step explanation:

Answer:

you answer would be A,B,D there all the answer u cant just have one also I  just took the test im from k12

Answer:

The area of the circle is [tex]\mathbf{6.25\pi}[/tex]

Step-by-step explanation:

Area of a Circle

A circle of radius r has an area calculated by the following formula:

[tex]A=\pi r^2[/tex]

The diameter of a circle is twice the radius, thus the radius is half the value of the diameter.

A given circle has a diameter of 5 inches.

The radius of this circle is r = 5/2 = 2.5 inches.

Thus, the area is calculated below:

[tex]A=\pi 2.5^2 = 6.25\pi[/tex]

The area of the circle is [tex]\mathbf{6.25\pi}[/tex]

Answer:

-5-4

Step-by-step explanation:

Let me know if I am wrong, if I am I apologize.

Have a good one.

Answer: bagles: 200 muffins: 164

Step-by-step explanation:

Answer:

The median is the first number the mode is middle number and rage is last number

Answer:

Step-by-step explanation:

Given

The transformation is

g(x) is the function f(x) which is shifted 3 units left and 1 unit up

If you are given

g(x)=log2(x+3)+1 and f(x)=log2x

Then the transmission is g(x) = f(x + 3) + 1, which indicates that g(x) is the function f(x) which is shifted 3 units left and 1 unit up

Answer:

u · v = 48.18

B on edge 2020

Step-by-step explanation:

Answer:

B on edge

Step-by-step explanation:

.6 cups of flour Step-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

please find the graph image in the attached file.

Given value:

[tex]AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles[/tex]

using the law of cosines:  

[tex]\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\[/tex]

        [tex]=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862[/tex]

[tex]A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}[/tex]

[tex]\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\[/tex]

[tex]\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}[/tex]

Answer:It should be -46 if im right dont hate if im worng.

Step-by-step explanation:

Answer:

There are two solutions

Step-by-step explanation:

The two equations intersect in two points therefore you willl have two solutions

Answer:

C. two solutions

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

No

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B is the best example where substitution is the best method since you already have one where y = something and you can plug -2/7x + 11 into the bottom equation for y and solve it that way. A and C make you get x or y by itself first first substitution would work and D already gives you the answers. B is the best since its already set in that format.

Answer:

Answer:

5.7909 * 10^7

Step-by-step explanation:

Scientific notation uses a number from 1 to under 10 and an integer power of 10.

57,909,000 = 5.7909 * 10,000,000 = 5.7909 * 10^7

Answer:

Step-by-step explanation:

If the wall is perpendicular, then that means that this is a right triangle. We can find out if it is by using Pythagorean's Theorem and filling in the values for the sides. If the statement is true, then the triangle is right and the wall is perpendicular to the base.

[tex]a^2+b^2=c^2[/tex] and filling in:

[tex]7^2+8^2=12^2[/tex] Let's find out if this is true:

[tex]49+64=144[/tex] Is this true?

113 = 144

Definitely not true. So this is not a right triangle and the wall is not perpendicular to the floor.