Mr. R's kindergarten class has 22 students. There are 2 more girls than boys in his class. How many boys are there?

let x=
let y=

The second function's output exceeds (get bigger than) the first function's output for x∈(-∞,[tex]\frac{1-\sqrt{29} }{2}[/tex])∪([tex]\frac{1+\sqrt{29} }{2}[/tex],∞)

Given the functions f(x)=x+7 and f(x)=[tex]x^{2}[/tex]

To know when to exceed, need to equate both functions.

⇒[tex]x^{2} =x+7[/tex]

⇒[tex]x^{2} -x-7=0[/tex]

x=[tex]\frac{-b+\sqrt{D} }{2a}[/tex] and [tex]\frac{-b-\sqrt{D} }{2a}[/tex]

⇒x=[tex]\frac{1-\sqrt{29} }{2}[/tex],[tex]\frac{1+\sqrt{29} }{2}[/tex]

f(x)=[tex]x^{2}[/tex] decreases from -∞ to 0 and increases from 0 to ∞ it cuts the graph of x+7 two times and for  x∈(-∞,[tex]\frac{1-\sqrt{29} }{2}[/tex])∪([tex]\frac{1+\sqrt{29} }{2}[/tex],∞) f(x)=[tex]x^{2}[/tex]  is greater than f(x)=x+7

Therefore,The second function's output exceeds (get bigger than) the first function's output for x∈(-∞,[tex]\frac{1-\sqrt{29} }{2}[/tex])∪([tex]\frac{1+\sqrt{29} }{2}[/tex],∞)

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Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

​

40x+20y= 360

x+y=14

Solve for y in each equation:

​

40x+20y = 360  x+y = 14 20y = -40x+360  

[tex]\frac{-20y}{20}[/tex] =[tex]\frac{-40x+360}{20}[/tex]

y = -2x+18

​

​

Answer:

y=6x+3

Step-by-step explanation:

Answer:

D) Is the correct answer 40 - 5t

Step-by-step explanation:

I hope that help's

Answer:

80%

Step-by-step explanation:

400-60= 320

320 is 80% of 400

Answer:

The correct answer should be C. Hope I helped.

Answer:

C - an equation includes an equal sign, but an inequality doesn't

Step-by-step explanation:

Although both equations and inequalities are ways to show how expressions relate to one another, an equation is the relationship between expressions with an equals sign ( [tex]=[/tex] )  between them, however, an inequality is a way to express two or more expressions with [tex]<[/tex], [tex]\leq[/tex], [tex]>[/tex] or [tex]\geq[/tex] between them. They both include numbers, so the correct option is C.

Hope this helps :)

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-2x + y = 0

5x + 3y = -11

Step 2: Rewrite Systems

-2x + y = 0

Step 3: Redefine Systems

y = 2x

5x + 3y = -11

Step 4: Solve for x

Substitution

Step 5: Solve for y

Step 6: Graph Systems

Check the solution set.

Answer:

The answer is below

Step-by-step explanation:

The question is not complete but I would show how this charges can be represented by an equation.

For health club A:

The graph (x, y) passes through the points (2, $136) and (4, $242). Let x represent the total months and y represent the total charges. The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-136=\frac{242-136}{4-2}(x-2)\\\\y-136=53(x-2)\\\\y-136=53x-106\\\\y=53x+30[/tex]

For health club B:

The table (x, y) has the points (4, 173) and (6, 23y). Let x represent the total months and y represent the total costs. The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-173=\frac{237-173}{6-4}(x-4)\\\\y-173=32(x-4)\\\\y-173=32x-128\\\\y=32x+45[/tex]

Answer:

A: One student has lived in 7 states.

Step-by-step explanation:

According to the graph shows, the answer should be A, which is one student has lived in 7 states.

Answer:

2x+9

Step-by-step explanation:

The amount of grape juice need to mix with 15 / 4 quarts of sparkling water is , 15/8  quarts.

The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters.

Mathematically, we can write :

1 quart = 32 fluid ounces

or

1 quart = 0.94 US liters = 4 cups (approx.)

According to question,

[tex]1\frac{1}{2}[/tex] quarts of water = 3/2 quarts of water = 3/4 quarts of grape

let, 15 /4 quarts of sparkling water = x

now, solving the equation

x = ( 3/4 × 15/4 ) ÷ 3/2

x=  3/4 × 15/4 ×2/3

x =15/8

Thus, The grape juice needed is , 15/8  quarts.

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The complete question is :

A recipe of sparkling grape juice is made with [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quarts of grape juice? How much of grape juice would you need to mix with 15/4 quarts of sparkling water?

The density in pounds per pint is 0.047 pounds per pint

Density is calculated using the formula -

Density = [tex]\frac{mass}{volume}[/tex]

To find the density in pounds per pint, we will convert mass and volume to the respective units.

Converting mass in kilograms to pounds -

1 kilogram = 2.205 pounds

9 kilograms = [tex]\frac{2.205*9}{1}[/tex]

9 kilograms = 19.84 ppounds

Converting volume in cubic feet to pints -

1 cubic foot = 59.844 pints

7 cubic foot = [tex]\frac{59.884*7}{1}[/tex]

7 cubic foot = 418.9 pints

Now, keeping the values in formula to find density

Density = [tex]\frac{19.84}{418.9}[/tex]

Performing division to find density -

Density = 0.047 pounds per pint

Hence, the density in pounds per pint is 0.047.

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Answer:

I think it’s just option 1. Tell me if I was wrong.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The height of statue is 12.2 inches in Troy's drawing.

Step-by-step explanation:

Given,

Actual height of statue = 305 feet

Scale used by Troy;

25 feet = 1 inch

1 feet =

305 feet =

305 feet =

305 feet = 12.2 inches

The height of statue is 12.2 inches in Troy's drawing.

Answer:

12.2 inches

Step-by-step explanation:

The scale is 1 inch = 25 ft

305 ft * (1 inch)/(25 ft) = 305/25 inches = 12.2 inches

Answer: 12.2 inches

Answer:

The price of

1 adult ticket = $15

1 student ticket = $9

Step-by-step explanation:

Let

The price of adult tickets be represented by a

The price of student tickets be represented by s

Therefore:

On the first day of ticket sales the school sold 4 adult tickets and 10 student tickets for a total of $150.

4a + 10s = $150.... Equation 1

The school took in $105 on the second day by selling 1 adult ticket and 10 student tickets.

a + 10s = $105.... Equation 2

a = $105 - 10s

Therefore, we substitute : $105 - 10s = a in Equation 1

4a + 10s = $150.... Equation 1

4($105 - 10s) + 10s = $150

$420 - 40s + 10s = $150

Collect like terms

- 40s + 10s = $150 - $420

-30s = -$270

Divide both sides by -30

-30s/-30 = -$270/-30

s = $9

We find a

a = $105 - 10s

a = $105 - 10($9)

a = $105 - $90

a = $15

Therefore, the price of

1 adult ticket = $15

1 student ticket = $9

5.03 × 10^7

(word format): 5 and 3 hundredths times 10 to the 7th power

Answer:5.03 x 10^9

Step-by-step explanation:

answer

AM= CP-given

CM=GP-given

C is the midpoint of AG-given

AC=CG- definition of midpoint

ACM=CGP- SSS

The complete proof is as follows:

The given parameters are:

This means that, the above statements would represent the first three blanks, and their respective reason is "Given"

Because of (3), above

4. [tex]\mathbf{AC \cong CG}[/tex] --- midpoint definition

(1), (2) and (4) imply that:

The three sides of both triangles are congruent by SSS

Hence, the last statement would be:

[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSS

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Answer:

1070707.5552

Step-by-step explanation:

Answer:

10707075.552

Step-by-step explanation:

used a calculator because I'm way too tired to write this down...

Answer:

96

Step-by-step explanation:

Hope this helps

I won't be able to graph for you because I am currently on phone but I will tell how to graph an Inequality in coordinate plane.

[tex] {x}^{2} + 4 < 0[/tex]

We don't need to solve the Inequality. The graph will do.

We draw the parabola with the vertex at (0,4) Basically plot point (0,4) then draw parabola.

Because it is < sign, thus the shade/region will be below the graph.

So the shade will be outside of the curve and not inside.

Answer:

1 7/15 or 22/15

Step-by-step explanation:

Answer:

I think it would be B) A,B,C    

Step-by-step explanation:

well A is smaller than B or C and B is smaller than C.

Answer:

[tex]m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (7, 5)

Point (3, 5)

Step 2: Find slope m

Answer:

0/-4

Step-by-step explanation:

You would us the slope formula: [tex]\frac{y2-y1 }{x2-x1}[/tex]

so y2 is 5 and y1 is 5 so 5-5= 0

then x2 is 3 and x1 is 7 so 3-7= -4

so the slope is [tex]\frac{0}{-4}[/tex]

Answer:

you could scan and take a picture in the app when u login

Answer:

Step-by-step explanation:

Two boxes have a volume of 5/6 and 1/12 cubic meters respectively. How many times does the petty box (1/12) fit in the big box (5/6)?

[tex]\frac{\frac{5}{6} }{\frac{1}{12} } =\frac{(5)(12)}{(6)(1)} =\frac{60}{6} =10[/tex]

ten times

Hope this helps

The monthly take-home pay is $2240.83.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To calculate the monthly take-home pay, we need to first find the annual take-home pay and then divide by 12 (since there are 12 months in a year).

We are given that the take-home pay is $1034.65 every two weeks, which means the total take-home pay for a year can be calculated as follows:

annual take-home pay = 1034.65 * 26 = 26889.9

Next, we divide the annual take-home pay by 12 to get the monthly take-home pay:

monthly take-home pay = 26889.9 / 12 = 2240.825

Rounding this to the nearest cent, we get:

monthly take-home pay = $2240.83

Therefore, the monthly take-home pay is $2240.83.

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Yes; the domain values are at regular intervals and the range values have a common factor of 0.25 so option (D) will be correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given a table of dependent(x) and independent variable (y)

Now the domain is set of the dependent variable so x {3,2,1,-1} so it is decreasing between two points so it is an interval.

Now in the independent variable (x)

If we multiply by 0.25 then the next term will come so it has a common factor of 0.25.

Hence "Yes; the domain values are at regular intervals and the range values have a common factor of 0.25".

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The given question is incomplete, the complete question with a table is given below ;

From the table below, determine whether the data shows an exponential function. Explain why or why not.

a No, the domain values are at regular intervals and the range values have a common factor of 0.25.

b. No, the domain values are not at regular intervals although the range values have a common factor.

c. Yes, the domain values are at regular intervals and the range values have a common factor 4.

d. Yes; the domain values are at regular intervals and the range values have a common factor of 0.25.

Answer:

Step-by-step explanation:

B buster

Answer:

64

Step-by-step explanation:

32*2 = q

q=64