Mathematics High School

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Each week, Alfonso earns $85 for every shift he works at the theater and $15 for every dog-walking job. He uses the expression 85x + 15y to keep track of his earnings.


Part A: Identify the coefficients and variables in the expression. (3 points)


Part B: How many terms are in the expression, what are they, and how do you know? (4 points)


Part C: Which term in the expression shows the total earned from the dog-walking jobs? (3 points)

Answers

Answer 1
The coefficients are 85 and 15 because they are the numbers that appear before the x and the y terms. 
There are two terms in the expression: 85x and 15y
Since you are earning 15 dollars for each dog walking session, it is 15y.
Answer 2
1. A coefficient is a number before the variable. So both coefficients and variables would both be 2 each. (85, 15), (x, y)
2. A term is both a coefficient and a variable together. So there are two terms in this equation. 
3. 85 dollars is earned for every shift for theater and 15 for every dog walking shift. So the 15y is the total earned for dog walking, where y is how many shifts Alfonso worked for.

Related Questions

The coordinates of the endpoints of and are A(3, 6), B(8, 7), C(3, 3), and D(8, 4). Which statement describes how and are related?

a)AB//CD
b)AB//CD, and AB bisects CD
c)AB//CD, but AB does not bisect CD
d)AB is neither parallel nor perpendicular to CD

Answers

Answer:

The correct answer is option a.

Step-by-step explanation:

If a line passing through two points, then the slope of a line is defined as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The coordinates of the endpoints of are A(3, 6), B(8, 7), C(3, 3), and D(8, 4).

[tex]m_{AB}=\frac{7-6}{8-3}=\frac{1}{5}[/tex]

[tex]m_{CD}=\frac{4-3}{8-3}=\frac{1}{5}[/tex]

Since slope of AB and CD are same, therefore the line AB is parallel to CD because the slope of parallel lines are equal.

Two parallel lines never intersect each other, therefore AB does not intersect CD. Only option a is correct.

The helvie family drinks 1 3/4 gallons of milk every 4 1/2 days. what is the unit rate of milk they drink per day?

Answers

The Helvie family drinks 7/18 of a gallon of milk per day. Divide the total amount of milk drunk by the number of days. 1 3/4 / 4 1/2 7/4 / 9/2 Division by a fraction is the same as multiplication after swapping the top and bottom of the fraction 7/4 * 2/9 = 14/36 = 7/18

Subtract your scores for questions 6,10,14, and 17 from the number 6 explain

Answers

i dont undersrand this ?

If there are 12 boys in the class and 14 girls, what is the ratio of boys to all the students in the class?

Answers

12:26

or 6:13 (simplified)
Are there any choices if not this is my awnser

12:26

Grace and jack Share £140 in the ratio 3:4 work out the amout that jack gets

Answers

First work  out the 'Multiplier' :-
3 + 4 =  7  and 140 * 1/7  = £20

So jack  gets 4 * 20   = £80

( Grace gets 3 * 20 = £60

The amount of  money that Jack gets between the money shared is £80

What is the ratio?

In mathematics, the ratio is a relation that gives a quantitative measure between two expressions in a way that tells us how A is contained in B.

Given that:

The total amount shared by Grace and Jack = £140The total ratio = 3+4 = 7

The amount that Jack get is:

= (4/7) × £140

= £80

Learn more about calculating ratios here:

https://brainly.com/question/2328454

#SPJ6

Write the standard form of the equation of the circle with the given center and radius.center​ (0,0), requals=11

Answers

x^2 + y^2 = 11^2  or  x^2 + y^2 = 121 is the equation.

The button on Sam's calculator that calculates the sine of an angle is broken.

Explain how to solve for x without using the sine ratio. Round x to the nearest tenth.

Answers

tan 18 = opposite side/adjacent side

0.3249 = 4/adjacent side

and adjacent side = 4/0.3249 = 12.31

Now let's apply Pythagoras to find x

4² + 12.31² = x²
16 + 151.55 = x²   and x² = 167.55 
Then x = √167.55 and x = 12.94 ≈ 13

If f(x)=7x-3 and g(x)=x^2, what is (g•f)(1)

Answers

hello : 
If f(x)=7x-3 and g(x)=x², 
 (g•f)(1)= g(f(1))
bit : f(1) =7(1)-3 = 4
 (g•f)(1)= g(f(1)) = g(4) = 1² = 16

The area of a square is 18 sq in less than twice the area of a triangle. the base of the triangle is 3 in longer and the altitude is the same length as the side of the square

Answers

Let the side of the square = x

So, the altitude of the triangle = x
and it's base = x+3


2 (area of triangle) - 18 = area of the square


area of the triangle = (1/2)height× base
and
area of the square = side^2


{ (2)(1/2)(x)(x+3)} -18 = x^2
x^2 + 3 x -18 = x^2
3x -18 =0
3x = 18
x = 6


so, the length of one side of the square = 6 units = altitude of the triangle
and the base of the triangle = 6+ 3 = 9cm.

Of the 30 girls who tried out for lacrosse team at euclid middle school ,12 were selected .of the 40 boys who tried out 16 were selected .and the ratio of the number of studets on the team to the number of students trying out the same for both boys and girls ? how do you know

Answers

ratio of students selected on the team / the number of students trying out...

boys : 
on the team -- 16
trying out -- 40
ratio is : 16/40 which reduces to 2/5

girls :
on the team -- 12
trying out -- 30
ratio is : 12/30 which reduces to 2/5

so yes, the ratios are the same because in both boys and girls, the number of players selected was 2/5 of the total who tried out.
Calculation for Girls
30 ÷6= 5
12 ÷6 =2 

∴For Girls 2:5

Calculation for Boys
40 ÷ 4 = 10
16 ÷ 4 = 4

∴ For Boys 4:10---- which = 2:5
If u divided both 4 and 10 by 2

∴Both have the same ratio of 2:5

A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.

Answers

Income of Friday + income of Saturday + Income of Sunday divided by 3 should be 1000 1073 +1108 + xx / 3= 1000 1073+ 1108 + xx = 1000 X 3 1073 + 1108 + xx = 3000 xx = 3000 – (1073 + 1108) xx = 3000 – 2181 xx = 819

3 1/4 ÷ 1 3/8
(If you don't know what (⬆) that is it is written as 3 and 1/4 divided by 1 and 3/8)

Answers

To answer this, both the divisor and dividend need to be converted to improper fractions. The first would be 13/4 and the second would become 11/8, so now the whole question reads as "[13/4] / [11/8]". To continue, the divisor needs to have its reciprocal found, which is 8/11 in this case. Then, the whole problem is multiplied: 13/4 * 8/11 gives 104/44 if both the numerators and denominators are multiplied. Reducing this gives 2 + 16/44, or 2 + 4/11 when fully reduced.

Both 2 and 5 are common factors of a number. The number is between 101 and 118. What is the number

Answers

the answer youre looking for is 110

What is the total cost of a pair of jeans that are priced $50.00 if there is 7 1/2% sales tax

Answers

7 1/2 = 7.5
7.5 = .075
50 multiplied by .075 is 3.75
50 added with $3.75 is $53.75.

The total cost of the jeans are $53.75.

Hope this helps!

Solve this equation for x round your answer to the nearest hundredth 0.43=log x

Answers

see attached picture for solution:

Amaya's test scores in algebra 1 are 78 and 91. She has one more test left and wants to earn a B for the course, which is from 80-89 inclusive

Answers

Amaya needs at least a 71 on her next test to receive an 
80%.


Answer:

Amaya must get marks between 71 and 98 in order to get B grade

Step-by-step explanation:

Amaya's test scores in algebra 1 are 78 and 91.

Let she got x marks in third test

The average all the three test must be 80-89

i.e. [tex]80\leq\dfrac{78+91+x}{3}\leq 89[/tex]

Multiplying all sides by 3, we get

240≤ 78+91+x≤ 267

240≤ 169+x≤ 267

Subtracting all sides by 169, we get

71≤ x≤ 98

Hence, Amaya must get marks between 71 and 98 in order to get B grade

d=f+fx , solve for x

Answers

To solve for x means we make x the subject of the formula. The value of x is:

[tex]x = \frac{d - f}{f}[/tex]

Given that:

[tex]d = f + fx[/tex]

To solve for x, we make use of the following steps

[tex]d = f + fx[/tex]

Subtract f from both sides

[tex]d - f =fx[/tex]

Isolate x: Divide both sides by f

[tex]\frac{d - f}{f} = x[/tex]

So, we have:

[tex]x = \frac{d - f}{f}[/tex]

Read more about subject of formula at:

https://brainly.com/question/16955788

help me place tiles correctly geometry

Answers

The parallel sides are congruent, or equal in length, so

BC = AD
6-x = x+2
6-2 = x+x
4 = 2x
2x = 4
x = 2

If x = 2, then 
BC = 6-x = 6-2 = 4
AD = x+2 = 2+2 = 4
meaning that the top and bottom parallel sides are each 4 units long

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

Similarly, the opposite angles are congruent as well

Angle A = Angle C
100-y = 12+y
100-12 = y+y
88 = 2y
2y = 88
y = 44

If y = 44, then 
angle A = 100-y = 100-44 = 56
angle C = 12+y = 12+44 = 56

The pitcher for the robins throws a baseball at 90.0 miles per hour. The pitcher on the bluebirds throws a baseball 121 feet per second. Which pitcher throws a baseball faster?

Answers

There are 5,280 feet in a mile, and 3,600 seconds in an hour. We want to bring both of these down to the same measurements. There are 475,200 feet in 90 miles. Divide 475,200 by 3,600. The result is 132, which is larger than 121. The pitcher for the robins throws faster.

Answer:

The pitcher of robins throws a baseball faster.

Step-by-step explanation:

Speed of base ball thrown by the pitcher for the robins = 90.0 mile/hour

1 mile = 5280 feets

1 hour = 3600 seconds

[tex]90.0 mile/hour=\frac{90.0\times 5280 feet}{3600 s}=132 feet/s[/tex]

Speed of base ball thrown by the pitcher for the bluebirds= 121 feet/s

132 feet/s > 121 feet/s

The pitcher of robins throws a baseball faster.

How many years difference is there between 250 ce and 250 bce?

Answers

500 years

250 ce ----> 0 ce = 250 years
0 ce ----> 250 bce = 250 years

250+250= 500 years

There are 500 years between 250 CE and 250 BCE

Years that are denoted as BCE are counted backwards until they get to 0 after which years are then denoted as CE and these ones count upwards.

This means that to find the difference between these two years, you must first count from 250 BCE to 0 and then from 0 to 250 CE.

250 BCE to zero = 250 years

Zero to 250 CE = 250 years

Then sum them up:

= 250 + 250

= 500 years

There is therefore a difference of 500 years between these two years.

Find out more at https://brainly.com/question/16352950.

Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package and 2 months of game play. Each software package costs $20. If their total is $115, what is the cost of one month of game play?

Answers

The cost of one month play is $15 dollars. 15×5=75 and 20+20=40
75+40=115

Giselle deposited $3500 into a savings account for which simple interest is calculated monthly. If her $3500 grew to $3514 after 1 month, what is the yearly interest rate on Giselle's account?

Answers

A=p(1+rt)

3514=3500(1+(1/12)r)

Solve for r

r=0.048*100=4.8%

Hope I helped :)

A vineyard has 165 acres of chardonnay grapes. a particular soil supplement requires 6.00 grams for every square meter of vineyard. how many kilograms of the soil supplement are required for the entire vineyard? (recall that 1 km2 = 247 acres)

Answers

1 km^2 = 1000m x 1000m = 1 x 10^6 m^2 
(145 acres / 247 acres) x 1 x 10^6 m^2 = 5.87 x 10^5 m^2 
5.5 g/m^2 x 5.87 x 10^5 m^2 = 3.23 x 10^6 g 
3.23 x 10^6 g x 1kg/10000 g = 3.23 x 10^3 kg

Answer:

4008.10 kg

Step-by-step explanation:

We have been given that a vineyard has 165 acres of chardonnay grapes. a particular soil supplement requires 6.00 grams for every square meter of vineyard.

We know that 1 squared km equals 247 acres.

[tex]\text{165 acres}\times\frac{\text{1 km}^2}{\text{247 acres}}[/tex]

[tex]165\times\frac{\text{1 km}^2}{247}[/tex]

[tex]0.6680161943319838\text{ km}^2[/tex]

We know 1 square km equals 1000000 meters.

[tex]0.6680161943319838\text{ km}^2\times \frac{1000000\text{ m}^2}{\text{ km}^2}[/tex]

[tex]0.6680161943319838\times 1000000\text{ m}^2[/tex]

[tex]668016.1943319838\text{ m}^2[/tex]

Now, we will multiply 6 by [tex]668016.1943319838\text{ m}^2[/tex].

[tex]668016.1943319838\text{ m}^2\times \frac{\text{6 grams}}{\text{m}^2}[/tex]

[tex]668016.1943319838\times \text{6 grams}[/tex]

[tex]4008097.1659919028\text{ grams}[/tex]

[tex]4008097.1659919028\text{ grams}\times \frac{1\text{ kg}}{\text{1000 grams}}[/tex]

[tex]4008.09716599190281\text{ kg}[/tex]

[tex]4008.10\text{ kg}[/tex]

Therefore, 4008.10 kg of the soil supplement are required for the entire vineyard.

Which of the following numbers is irrational? a fraction with numerator negative 9 and denominator 5, a fraction with numerator square root of 5, a fraction with numerator 7 and denominator 3, square root of 9

Answers

A fraction with numerator -9 and denominator root 5.

With the other scenarios, every number is rational. All whole numbers/integers are rational. The root of 9 is 3, which is whole and rational. Negative numbers are also rational so long as they are whole/an integer. This allows for you to be able to write a fraction using only integers (or with decimals that have a finite end).

However the root of 5 goes on infinitely.

Answer:

The answer is square root of 5.

Step-by-step explanation:

Irrational numbers are those that cannot be expressed as a ratio of two integers.

And when we express these in decimal form, they have an infinite and nonrecurring expansion like the number π and the square root of 2.

The answer is square root of 5. This is because the square root of 5 will never result in a number that will be exact.

Simplify (-2) ^2 + |-15| ÷ 3

Answers

4+I-15I÷3
4+15÷3
4+5
9
The answer is 9
the answer to your problem Will be 9   
  

-2^2=4

so now the problem look like 4 + |-15|  ÷ 3

|-15|= 15 because absolute vaule just makes it positive


4+15   ÷  3

15  ÷ 3=5

4 +5 =9

9

plz help 50 points i am so confused

Answers

6C2 = 6*5*4*3*2 /2*4*3*2 = 720/48 = 15

Answer: 15

Step-by-step explanation:  6*5*4*3*2 /2*4*3*2 = 720/48 = 15

question answered by

(jacemorris04)


A house worth 120,000 is in an area where real estate is increasing in value at the rate of 8% per year. How much will the house be worth in 1 year?

Answers

Well 8 percent of 120,000 is 9600.
So we add that to get 129600
Hope that helped

Use foil method (8a - 8)(4a + 1)

Answers

The answer is:  " 32a² − 24a − 8 " .
__________________________________________________
Given:
__________________________________________________
(8a − 8)(4a + 1) ;  Let us expand this expression using the:  "FOIL" method.
___________________________________________________
"FOIL" stands for "First terms, Outer terms,  Inner Terms, Last Terms" ;
           in that order.
___________________________________________________
Basically:
_______________________________________________________
(a + b)(c + d) = ac + ad + bc + bd ;

in which the:

First term is:    "ac" ;
Outer term is:  "ad" ;
I nner term is:   "bc" ;
Last term is:    "bd " .
__________________________________
So; we have (given):

(8a − 8)(4a + 1) ;
__________________________________________________
Let's take the "First, Outer,  Inner, and Last terms" ; as follows:
__________________________________________________
F:  (8a)*(4a) = 32a² ;
__________________________________________________
O:  (8a)*(1) = 8a ;
__________________________________________________
I :   (-8)*(4a) = -32a ;
__________________________________________________
L:  (-8)*(1) = -8
__________________________________________________
Now, let us write out these terms:
__________________________________________________
  32a² + 8a − 32a - 8 ;
__________________________________________________
Now, combine the "like terms" in this expression; to simplify:

       + 8a − 32a = -24a ;
__________________________________________________
and rewrite the simplified expression ; which is:
__________________________________________________
        32a² − 24a − 8 .
______________________________________________________ 

How do u know if an inequality is sometime ,never , or always true ?

Answers

The way the question Is asked

How do you solve this equation: 3x+1/5y=7

Answers

just plug in values till u get 7
3(2) + (1/5)5 = 7
6 + 5/5 = 7
6 + 1 = 7
7 = 7
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