10. Which expression represents the cost of x pencils at $0.08 each and y notebooks at $1.70
each?
a. $1.78xy
b. $1.78(x + y)
c. $0.08x + $1.70 y
d. x + y +$1.78
e. $0.08 y + $1.70x

Answer:

it's group A because they have more reliable sources

Answer:

$760 gross

$614.13 is net

Step-by-step explanation:

Beth earns $16 x 40 for the first 40 hours she works.

Then she earns overtime--> 5 hours at $24 per hour

Her "gross" earnings are before any deductions or taxes.

So 16x40 = 640 and 5x24= 120 so her January gross earnings are 640+120=

$760 gross

Her "net" pay is what is left over after taxes.

So take the $760 and subtract the $95 withholding = $665

Taxes are 7.65% so multiply 665 x 0.0765 = 50.8725 and subtract that also.

614.1275 rounded to $614.13 is net.

Answer:

5

Step-by-step explanation:

To start, you use the formula a/b=c, in which a is bigger than b. In this case, that's 95/20=c. The greatest common factor is 5.

Answer:

3. 8,798,018

4. 4,782,125

5. 156,432,332

6. 4,581,865

7. 4,594,375

8. 3,672,050

9. 7,272,925

10. 3,979,150

Answer:

30,000

Step-by-step explanation:

An inverse function is y = k/x

replace x and y with the given values:

6 = k/18

Solve for k by multiplying both sides by 18:

k = 108

1. Find the equation and solve for k: y varies inversely as x and y = 6 when x = 18.

[tex]\sf{The \: relation \: y \: varies \: inversely \: as \: x \: translates \: to \: y = \frac{k}{x}.}[/tex]

Substitute the values to find k:

[tex]\sf\rightarrow{y= \frac{k}{x} }[/tex]

[tex]\sf\rightarrow{6= \frac{k}{18} }[/tex]

[tex]\sf\rightarrow{k=(6)(18)}[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{108}}}[/tex]

[tex]\sf{The \: equation \: of \: variations \: is \: y={ \color{red}{ \frac{108}{x} }}}[/tex]

[tex]{\huge{\color{blue}{━━━━━━━━━━━━}}}[/tex]

#CarryOnMath⸙

Answer:

Its speed is 14 mph.

Step-by-step explanation:

Given that regarding racer called The Whirlwind, its poster says that in 1/20 hour it covers 7/10 mile, to determine what is the Whirlwind’s speed in miles per hour the following calculation must be performed:

1/20 x 60 = 0.05 x 60 = 3 minutes

7/10 = 0.7

Therefore, every 3 minutes the Whirlwind travels 0.7 miles.

60/3 = 20

0.7 x 20 = 14

Thus, in an hour it travels 14 miles, with which its speed is 14 mph.

Answer:  [tex]19x+11y \ge 4500[/tex]

=============================================

Explanation:

x = number of adults

y = number of students

The expression 19x represents the money from all the adults while 11y represents the money from all the students (since we get $19 per adult and $11 per student).

In total, the money collected is 19x+11y dollars.

We want this total to be $4500 or larger.

So that's how we get the final answer of [tex]19x+11y \ge 4500[/tex]

Answer:

In order to answer this properly, I would need to see the choices. However, I can tell you that:

-Each gallon of paint cost $15

-Karen spent $45 on yellow paint

-Karen spent $60 on blue paint

Step-by-step explanation:

Karen bought a total of 7 cans of paint, all the same price.

105/7=15.

15*3=45 (yellow paint)

15*3=60 (blue paint)

Hope this helps.

Answer:

1. A. Quantitative data

B. Quantitative data

C. Qualitative data

D. Quantitative data

E. Qualitative data

F. Quantitative data

2.a. Yearly salaries: interval or ratio data

b. Employee numbers: interval or ratio data

c. Area codes : nominal data

d. The ages: interval or ratio data

e. Survey answers: ordinal data

f. IQ index: interval or ratio data

Explanation:

Qualitative data is data in the form of a quality such as a characteristic. It is usually a noun, such as whether a person is fair or dark in complexion. Quantitative data is data in form of quantity such as the amount in dollars of one's salary.

There are four levels of data measurement. They are: nominal data, ordinal data, interval data, and ratio data. Nominal and ordinal data are qualitative data while interval and ratio data are quantitative data.

Answer:

For 1: The first term is 10 and the common difference is [tex]\frac{3}{2}[/tex]

For 2: The value of n is 27

Step-by-step explanation:

The n-th term of the progression is given as:

[tex]a_n=a_1+(n-1)d[/tex]

where,

[tex]a_1[/tex] is the first term, n is the number of terms and d is the common difference

The sum of n-th terms of the progression is given as:

[tex]S_n=\frac{n}{2}[2a_1+(n-1)d][/tex]

where,

[tex]S_n[/tex] is the sum of nth terms

The 11th term of the progression:

[tex]25=a_1+10d[/tex]               .......(1)

Sum of first 4 numbers:

[tex]49=\frac{4}{2}[2a_1+3d[/tex]              ......(2)

Forming equations:

[tex]98=8a_1+12d[/tex]

[tex]25=a_1+10d[/tex]                  ( × 8)

The equations become:

[tex]98=8a_1+12d[/tex]

[tex]200=8a_1+80d[/tex]

Solving above equations, we get:

[tex]102=68d\\\\d=\frac{102}{68}=\frac{3}{2}[/tex]

Putting value in equation (1):

[tex]25=a_1+10\frac{3}{2}\\\\a_1=[25-15]=10[/tex]

Hence, the first term is 10 and the common difference is [tex]\frac{3}{2}[/tex]

The nth term is given as:

[tex]49=10+(n-1)\frac{3}{2}[/tex]

Solving the above equation:

[tex]39=(n-1)\frac{3}{2}\\\\n-1=26\\\\n=27[/tex]

Hence, the value of n is 27

Answer:

1 and 3 are the odd numbers that are less than 5. 0, 2 and 4 are the even numbers that are less than 5

Step-by-step explanation:

Answer:

I hope it helps u.......

Answer:

315

Step-by-step explanation:

the formula is V = B * h

B is the area of the base

V = (1/2)(10)(7) * 9

Answer:

1448

Step-by-step explanation:

24 × 63-64

Multiply 24 and 63 to get 1512.

1512-64

Subtract 64 from 1512 to get 1448.

answer

1448

Answer: 0.070

Step-by-step explanation:

The question is asking you to estimate how many students completed the English 101 course.

1. Round 99 and 71 to 100 and 70

2. I am not completely sure but I believe the answer is 0.070?

3. Hope it helps! :)

Answer:

The correct answer will be "[tex]\frac{8}{9}[/tex]".

Step-by-step explanation:

The given expression is:

= [tex]\frac{1}{2}\times \frac{16}{9}[/tex]

By applying multiplication, we get

= [tex]\frac{16}{18}[/tex]

= [tex]\frac{8}{9}[/tex]

Thus, the above is the lowest form.

Answer:

The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope:

Having two points, the slope is given by the change in y divided by the change in x. Points (2,4) and (7,2)​, so:

Change in y: 2 - 4 = -2

Change in x: 7 - 2 = 5

Slope: [tex]m = \frac{-2}{5} = -\frac{2}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + b[/tex]

(2,4)

This means that when [tex]x = 2, y = 4[/tex]. So

[tex]y = -\frac{2}{5}x + b[/tex]

[tex]4 = -\frac{2}{5}(2) + b[/tex]

[tex]b = 4 + \frac{4}{5} = \frac{20}{5} + \frac{4}{5} = \frac{24}{5}[/tex]

The equation of the line is [tex]y = -\frac{2}{5}x + \frac{24}{5}[/tex]

Answer:

p = 28.56

Step-by-step explanation:

Circumference of circle

c = 2πr

Since this is a semicircle the perimeter is half the circumference

p = πr

p = 3.14 * 4

p = 12.56

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

Triangle

the outer perineter is just the two outer sides

p = 6 + 10

p = 16

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

total outer perimeter

p = 12.56 + 16

p = 28.56

Answer:

spongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

The step would be, "Suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational." Option A is correct.

Given that,
a and b are rational numbers, b ≠ 0, and r is an irrational number, then a + br is irrational. the first step of the proof with contradiction is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
For the statement,

a and b are rational numbers, b ≠ 0, and r is an irrational number, then a + br is irrational.

Contradiction will be "suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational."

Thus, the step would suppose not. That is, suppose there exist irrational numbers a and b such that b ≠ 0, r is a rational number, and a + br is rational.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

√7

Step-by-step explanation:

(4x²-24x)+(4y²-32y)= -72

(4x²-24x+36)+(4y²-32y+64)= -72+36+64

4(x-3)²+4(y-4)²= 28

(x-3)²+(y-4)²=7

The radius of the circle 4x² + 4y²- 24x - 32y + 72 = 0 is √7.

We know that the general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

The given equation is 4x² + 4y²- 24x - 32y + 72 = 0

Simplify the given equation in general equation for a circle.

(4x²-24x)+(4y²-32y)= -72

Add 100 on both side of equality

(4x²-24x)+(4y²-32y)+100= -72+100

(4x²-24x+36)+(4y²-32y+64)= 28

4(x-3)²+4(y-4)²= 28

(x-3)²+(y-4)²=7

(x-3)²+(y-4)²=(√7)²

Hence the radius of the circle is √7.

Learn more about radius here: https://brainly.com/question/24375372
#SPJ2

Answer:

The new price of this thing you're buying is about $35.58.

Step-by-step explanation:

To find the new price you could find 8.5% of 32.80 then add it to 32.80. That would give you the new price, or you could simply find 108.5% of 32.80. That one has less steps, so Im going to go with that.

What is 108.5% of 32.80?

Let's set up an equation then solve.

108.5% · 32.80 = X

1.085 · 32.80 = 35.588

The new price of this thing you're buying is about $35.58.

Answer:

Let the total number of pupil be x.

Given that,

Number of pupils that received a grade of 90=9

Percentage of pupil that receive a grade of 90=18%

So,

18% of x=9

18x/100=9

x=50

Hence, there are 50 pupils in the class.

Answer:

f(x) =3 (5) ^x +5

Step-by-step explanation:

f(x) = g(x) +5

We know g(x) = 3 (5) ^x

Substitute this into f(x)

f(x) =3 (5) ^x +5

Answer:

[tex] \small \sf \: f(x) = 3(5) {}^{x} + 5[/tex]

[tex] \small \sf \mapsto \: f(x) = 3(5) {}^{x} \: + 5[/tex]

Where, we have given

[tex] \small \sf \mapsto \: g(x) = 3(5) {}^{x} [/tex]

put the value of g ( x )

[tex] \small \sf \mapsto \: f(x) = 3(5) {}^{x} + 5[/tex]

Answer:

[tex]x-2y=3[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\Line\ passes\ through\ the\ points\ (1,-1) and (9,3). Hence,\ this\ means\ that\ the\\ points\ are\ indeed\ solutions\ of\ the\ equation,\ which\ represents\ the\ line.\\Hence,\\We\ know\ that,\\The\ equation\ of\ a\ line\ (Point-Slope)\ is\ given\ by:\\y-y_1=m(x-x_1),\ where\ m\ is\ the\ slope\ of\ the\ graph.[/tex]

[tex]So\ first,\\Lets\ find\ the\ Slope\ of\ the\ Graph.\\Slope(m)=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}\\Hence,\\Here,\\Considering\ (1,-1)\ as\ the\ First\ Point\ and\ (9,3)\ as\ the\ Second\ Point,\ we\ have:x_1=1,x_2=9\ and\ y_1= -1, y_2=3\\Plugging\ the\ values\ in\ the\ Equation\ for\ the\ Slope,\ we\ have:\\[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-(-1)}{9-1}=\frac{3+1}{9-1}= \frac{4}{8}=\frac{1}{2}\\Hence,\\Coming\ back\ to\ our\ Point-Slope\ Formula\ for\ the\ equation:\\\ We\ already\ have:\\y-y_1=m(x-x_1)\\Substituting\ m=\frac{1}{2} , x_1=1,\ y_1=-1,\ we\ have: \\y+1=\frac{1}{2}(x-1)\\\therefore 2(y+1)=x-1\\\therefore 2y+2=x-1\\\therefore 2y-x=-3\\Multiplying\ with\ (-1)\ on\ both\ sides:\\\therefore x-2y=3\\Hence,\\x-2y=3,\ is\ our\ desired\ equation.[/tex]

Step-by-step explanation:

10x-3(x-6)=x+30

10x-3x+18=x+30

7x+18=x+30

6x=12

x=2

Answer:

x=2

Step-by-step explanation:

10x-3(x-6)=x+30

Distribute

10x -3x+18 = x+30

Combine like terms

7x +18 = x+30

Subtract x from each side

7x-x +18 = x+30-x

6x +18 = 30

Subtract 18

6x+18-18 = 30-18

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Answer:

Step-by-step explanation:

It's the square root of the variance

The variance is just the second moment minus the first moment squared

Answer:

The answer would be [tex]-a(-a)^{n-1}[/tex].

Step-by-step explanation:

We can simply substitute the terms into this equation. Checking the 1st term, [tex]-a(-a)^{1-1} = -a(-a)^{0} = -a(1) = -a[/tex]. Moving on to the second term, we see [tex]-a(-a)^{2-1} = -a(-a)^{1} = -a(-a) = a^{2}[/tex]. And so on and so forth. We can see how the answer fluctuates between negative and positive, while gaining one more exponent every term, which fits with the sequence given. Therefore, the answer would be [tex]-a(-a)^{n-1}[/tex].

Hope this helped!