"You helped 3.6 customers per half hour yesterday."
Employee: "So I helped __________ customers in 7.5 hours yesterday."

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the quantity of 80% solution. Then the quantity of 55% solution is (130-x) and the total amount of antifreeze in the mix is ...

  0.55(130 -x) +0.80(x) = 0.70(130)

  0.25x +71.5 = 91 . . . simplify

  0.25x = 19.5 . . . . . . subtract 71.5

  x = 78 . . . . . . . . . . . divide by 0.25; amount of 80%

  130-78 = 52 . . . . amount of 55%

52 gallons of the 55% brand, and 78 gallons of the 80% brand must be used.

Answer:

1. 232.35 cm²

2. 52.81 cm²

3. 373.25 cm²

Step-by-step explanation:

1. Area of circle = πr²

radius (r) = 8.6

Area = π*8.6²

Area = 232.35 cm²

2. Area of circle = πr²

radius (r) = 4.1 cm

Area = π*4.1²

Area = 52.81 cm²

3. Area of circle = πr²

radius (r) = 10.9 cm

Area = π*10.9²

Area = 373.25 cm²

Answer:

3(s+8) = 36

= 3(4+8) = 36

=3(12) = 36

= 3×12 = 36

Answer:

s = 4

Step-by-step explanation:

To solve for "s", we need to simplify the distributive property on the LHS.

\(\rightarrow 3(s + 8) = 36\)

\(\rightarrow 3s + 24 = 36\)

Now, let's solve for "s".

\(\rightarrow 3s + 24 = 36\)

\(\rightarrow3s + 24 - 24 = 36 - 24\)

\(\rightarrow3s = 12\)

\(\rightarrow \boxed{s = \dfrac{12}{3} = 4}\)

Answer:

$9,960

Step-by-step explanation:

249000 x 0.4 = 9960

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

​for such more question on present value

https://brainly.com/question/28256489

#SPJ8

Answer:

\(\large \boxed{\sf \ \ -3x^3-x^2+x+18 \ \ }\)

Step-by-step explanation:

Hello, please consider the following.

\((f-g)(x)=f(x)-g(x)=x^2-3x+9-(3x^3+2x^2-4x-9)\\\\=x^2-3x+9-3x^3-2x^2+4x+9\\\\=\boxed{-3x^3-x^2+x+18}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

a. true; the # brown hair is either greater than or equal to the # of brown eyes

b. false; the # of brown hair + 10 can only be greater to the # of brown eyes, not equal

c. true; the # of brown hair can only be greater than the # of both brown hair & eyes

d. false; the # of brown hair + 10 can only be greater then the # of both, not equal

e. true; the # of brown hair can only be greater then the # of both brown hair & eyes

f. true; the # of brown hair + 10 can only be greater then the # of both

Step-by-step explanation:

hope this helped you out

Venn diagrams gives a visual representation of the distribution of a whole divided into two or more groups using circles. Going by the scale of the Venn diagram given, only the inequalities A, C, E and F must always be true.

Size of brown hair = H

Size of brown eyes = E

Size of those who have both = X

From the Venn diagram given ; we can deduce that H = E

Evaluating the inequalities :

Therefore, only the inequalities A, C, E and F must always be true.

Learn more : https://brainly.com/question/12570490

The equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.

To find the equation of a line with a slope of 1/4 that passes through the point (3,0), we can use the point-slope form of the equation of a line.

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

Substituting the values into the formula, we have:

y - 0 = 1/4(x - 3)

Simplifying:

y = 1/4(x - 3)

Distributing 1/4 throughout the expression:

y = 1/4x - 3/4

Therefore, the equation of the line with a slope of 1/4 that passes through the point (3,0) is y = 1/4x - 3/4.

For more questions on slope

https://brainly.com/question/18907612

#SPJ8

TRUE - Procedure 2 has a larger test statistic and therefore will result in stronger evidence in favor of the alternative hypothesis.

Degrees of freedom are the maximum number of logically independent, or potentially different, values in the sample of data. One is subtracted from the number of elements in the data sample to determine the degree of freedom.

There are degrees of flexibility in the third column. Degrees of freedom (df1) between treatments equals k-1. df2 = N - k is the degree of freedom for the error. The total degree of freedom is N-1; additionally, (k-1) plus (N-k) equals N-1.

Fisher's Least Significant Difference (LSD) and the Bonferroni Method stand out among the techniques. These two use the t-test as their foundation. According to Fisher's LSD, run an F-test first, then if you find evidence to reject the null hypothesis, run regular t tests on all possible pairs of means. Similar but only requiring that you choose beforehand is the Bonferroni technique.

To know more about degrees of freedom visit :-

https://brainly.com/question/16254305

#SPJ4

Answer:

The answer:-16s+40-4

Answer:

-4 x (4s - 9)

Step-by-step explanation:

answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.

Step-by-step explanation:

1/2×12cm×8cm

6cm×8m=48cm²

Area of triangle=48cm²

please follow me if you find this helpful

I

It will be my pleasure

Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Answer:

\(\huge\boxed{\sf <x = 24\°}\)

Step-by-step explanation:

∠x and 156° are supplementary i.e. angles on a straight line that add up to 180 degrees.

So,

∠x + 156 = 180

Subtract 156 to both sides

∠x = 180 - 156

∠x = 24°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

\(\boxed{\sf x=24\°}\)

Step-by-step explanation:

From the given diagram, we can see that ∠BOC and ∠AOB are supplementary angles.

Therefore, \(\sf m=\angle BOC+m\angle AOB=180\°\)

\(\sf m=\angle BOC+m\angle AOB=180\°\)

\(\sf x+156=180\°\)

Subtract 156 from both sides:

\(\sf x+156-156=180-156\)

\(\sf x=24\°\)

__________________________________

Answer:

bacd

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

-5/8(3) + 7/8 = -1

The answer is D because when you add the input 3 to the equation, the output is -1.  

x is horizontal / input,

y is vertical / output.

:)

The determinant of the coefficient matrix 3x+4y=0 and -2x+3y=17 is 17.

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the numbers.

Given:

A system of equations,

3x+4y=0

-2x+3y=17.

To find the determinant,

we will find the matrix from Cramer's rule,

A =

\(\left[\begin{array}{cc}3&4\\-2&3\end{array}\right]\)

So, determinant of matrix A

ΔA = 3 x 3 -(4 x -2)

ΔA = 9 + 8

ΔA  = 17.

Therefore, the determinant is 17.

To learn more about the matrix;

https://brainly.com/question/29132693

#SPJ1

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

The first one is d I believe and The second is B and C

I dont know the rest

The total cost would be found by Multiplying the price per gallon by number of gallons bought

total cost (C) = $2.75g

The number of times the spinner lands on a shaded section are 8 times.

What is the probability?

Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true.

We have,

2 Shaded sections are on a spinner,

8 unshaded sections are on a spinner,

10 total sections are on a spinner,

Therefore,

The probability of the spinner to land on a shaded section:

P = 2 ÷ 10 = 1 ÷ 5

consider x, the number of times the spinner lands on a shaded section.

If the spinner were spun 40 times:

so,   \(\frac{x}{40} = \frac{1}{5}\)

By cross multiplying we get,

5x = 40

x = 8

Hence, the number of times the spinner lands on a shaded section are 8 times.

To learn more about the probability visit,

https://brainly.com/question/13604758

#SPJ1

Answer:

yes I agree with her because 3 times 4 is 12

Step-by-step explanation:

pls make me brainliest

Answer:

18m-20

Step-by-step explanation:

4(3m-2)+3(2m-4)=

12m-8+6m-12=

collect like terms

12m+6m-8-12=

18m-20

The fundamental frequency of the flute of length 49.0 cm and with its one end closed is 175 hertz.

Given,

           Length of flute = 49.0 cm

           Speed of sound in air = 343 m/s

The flute closed from one end and is open from the other exhibits a standing wave pattern.

We know that,

                        \(f =\frac{v}{4L}\)

Now substituting values in the above equation:

                       \(f = \frac{343}{4* (0.49)}\)

                       \(f = 175 hz\)

Thus, the fundamental frequency of the flute is 175 hertz.

Learn more about the speed :

https://brainly.com/question/4926312

#SPJ4

Answer b

Step-by-step explanation: :)

Answer:

A. the maximum value would increase

C. the median would stay the same

Answer:

29/10 or 2 9/10

4 4/5 - 1 9/10

make them into improper fractions

4 4/5 = 24/5

1 9/10 = 19/10

24/5 - 19/10 we need to get common denominators

24/5 × 2 = 48/10

48/10-19/10 = 29/10 = 2 9/10

Answer:

  $3.75

Step-by-step explanation:

I = Prt

I = $500·0.03·(3/12) = $3.75

The early-withdrawal fee is $3.75 for the first quarter.

_____

Each quarter after that, the principal amount will be larger, so the interest penalty will be larger. The fee would be the amount of interest that would be credited at the end of the next quarter, or at the end of the quarter currently in progress.

What are you trying to solve for?

\(824381 + 1654 = - 121\)

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

\(x_1 = 2009;\ y_1 = 10,002\)

\(x_2 = 2013;\ y_2 = 17,884\)

The rate of change is calculate as follows;

\(m = \frac{y_1 - y_2}{x_1 - x_2}\)

\(m = \frac{10002 - 17884}{2009 - 2013}\)

\(m = \frac{-7882}{-4}\)

\(m = \frac{-7882}{-4}\)

\(m = 1970.5\)

Hence, the average rate of change is 1970.5 thousand

Answer:

d. h = 11.3 ft

Step-by-step explanation:

volume of cone = \(\frac{1}{3}\)r²\(\pi\)h

r = 4 feet

Put in your values:

\(\frac{1}{3}\)(4)²(3.14)h = 189 ft³

16(3.14)h = 567

50.24h = 567

h = \(\frac{567}{50.27}\) = 11.3

The height of the cone is h = 11.3 feet

In geometry,  a cone is a three-dimensional shape formed by joining a set of line segments from a common point called apex to all the points of the base which is a circle.

Height of the cone is distance from apex to the center of the circular base.

Volume of a cone is defined as the total capacity of the cone and the formula for the same is given by,

V = \(\frac{1\\}{3}\)πr²h

Here, V = 189 ft³, r = 4 ft, π = 3.14

Substituting these values in formula for the volume,

189 = \(\frac{1}{3}\) × 3.14 × 4² × h

189 = \(\frac{50.24}{3}\)h

h = 189 × 3 / 50.24

h = 11.285 ≈ 11.3

Hence the height of the cone with radius 4 ft and volume 189 ft³ to the nearest tenth of a foot is 11.3 ft.

To learn more on Cones, click:

https://brainly.com/question/16394302

#SPJ2

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

First, it is going upwards from left to right so we know it'll be positive. Then we do the following:

\(\frac{rise}{run}=\frac{change.in.y}{change.in.x}=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}=\frac{0--1}{2-0}=\frac{0+1}{2-0}=\frac{1}{2}\)

("." in the second fraction is for separate words)

So the slope is \(\frac{1}{2}\)

Hope this helps, have a nice day! :D