A manager purchased a total of 21 coffee mugs and key chains each coffee mug cost $8.50 and each key chain cost $2.75 if the manager spent a total of a $132.50 write and solve the systems of equations

Answers

Answer 1

Answer:

21=m+k    8.50m+2.75k=132.50

Step-by-step explanation:

m= mugs

k= key chains


Related Questions

when dividing 751.6 by 100, how should the decimal point be moved?​

Answers

Answer:

Two places to the left = 7.516

Step-by-step explanation:

Answer:

The decimal point should be moved two times to the right

Step-by-step explanation:

751.6 ÷ 100 = 7.516

and that means that

the decimal point moves

two times to the right.

Hope this helps! <3

Are these ratios equivalent?
18 pedestrians : 9 days
14 pedestrians : 7 days

Answers

Answer:

yes

Step-by-step explanation:

they both equal to 2 pedestirans: 1 day

Answer: Yes.

Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.

How many meters are equal to 3 kilometers? Use the pattern in the number of zeros of the product when munding by a power of 10 to to you
30 meters
300 meters
3000 meters
30.000 meters

Answers

3,000 meters are equal to 3 kilometers
3000 meters are equal to 3 kilometers

How do I solve this??? 15 points!

Answers

m = 7/2
y-4 = 7/2 (x-2)
y = 7/2x - 3

Answer:

[tex]\displaystyle y=\frac{7}{2}x-3[/tex]

Step-by-step explanation:

We wan to determine the equation of a line that passes through the point (2, 4) and is parallel to:

[tex]\displaystyle y=\frac{7}{2}x-5[/tex]

Since our new line is parallel to our equation, this means that the two lines have the same slope.

Therefore, the slope of our new line is also 7/2, the slope of the original.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute 7/2 for m.

Let's let our point (2, 4) be (x₁, y₁). Hence:

[tex]\displaystyle y-4=\frac{7}{2}(x-2)[/tex]

Solve for y. Distribute:

[tex]\displaystyle y-4=\frac{7}{2}x-7[/tex]

Add 4 to both sides.Therefore, our equation is:

[tex]\displaystyle y=\frac{7}{2}x-3[/tex]

Can someone help me with this Algebra question?

Answers

Answer:

y^6

Step-by-step explanation:

Answer:

the answer would be y^6

What is the slope of the line y=-2x+1

Answers

Answer:

-2

Step-by-step explanation:

The slope is -2
Explanation:
Y = mx +b
The m in the equation is the slope.

4x+3y=17 and 6x+7y=33

Answers

Answer:

y=-4/3x-5    y=7/6x-5

Step-by-step explanation:

That should be your answer I have already learn this so that should be right

Answer:

3x - 6b

Step-by-step explanation:

Austin and Dylan rode their bicycles. Austin's average speed is represented by the equation d = 20t, where d is the total distance traveled in t hours. The graph below represents Dylan's average speed while riding his bicycle.

Who had the fastest average speed and by how much?

Answers

Answer:

Austin has the better average speed by 5 mph

Step-by-step explanation:

The slope of Dylan’s graph will his average speed

Let’s select two points on the graph to use

The slope can be calculated as;

m = (y2-y1)/(x2-x1)

m = (90-30)/(6-2)

m = 60/4

m = 15

So the equation for Dylan would be

d = 15t

This shows that Austin has a faster average speed by 5 mph

(Will Mark BRAINLIEST)
Which of the following correctly completes the equation below?

0.63 x ____ = 630



101

102

103

100

Answers

Answer:

100 is the closest but that only leaves you with 63 not 630. It would have to be 1000.

Step-by-step explanation:

A runner’s resultant velocity is 8 miles per hour due west running with a wind of 3 miles per hour N 28° W. What is the runner’s speed, to the nearest mile per hour, without the effect of the wind.

Answers

Answer:

7.07 miles/hour W 22° S.

Step-by-step explanation:

Given that the resultant velocity of the runner, [tex]v_r = 8[/tex] miles/hour due west.

Wind speed, [tex]v_w= 3[/tex] miles/hour N 28° W.

Assuming that the absolute velocity of the runner, [tex]v_a= x[/tex] miles/ hour W \alpha S as shown in the figure.

By using vector addition, [tex]\vec{v_r} = \vec {v_w} + \vec {v_a}[/tex] .

Now, from the figure,

[tex]|\vec {v_r}|=|\vec {v_w} |\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow 8 = 3\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow |\vec {v_a}| \cos \alpha =8-3\sin{28°} \cdots(i)[/tex]

And [tex]AC= |\vec {v_w} |\cos{28°} = |\vec {v_a}| \sin \alpha \\\\[/tex]

[tex]\Rightarrow |\vec {v_a}| \sin \alpha= 3\cos{28°} \cdots(ii)[/tex]

Dividing equation (ii) by equation (i), we have

[tex]\frac {|\vec {v_a}| \sin \alpha}{|\vec {v_a}| \cos \alpha}=\frac {3\cos{28°}}{8-3\sin{28°}} \\\\\Rightarrow \tan \alpha = 0.402 \\\\\Rightarrow \alpha = \tan ^{-1} (0.402)=22^{\circ} \\\\[/tex]

Putting the value of \alpha in equation (ii), we have

[tex]|\vec {v_a}| \sin {22^{\circ}}= 3\cos{28^{\circ}} \\\\\Rightarrow |\vec {v_a}| =(3\cos{28^{\circ}})/\sin {22^{\circ}} \\\\[/tex]

[tex]\Rightarrow |\vec {v_a}| = 7.07[/tex] miles/hour

Hence, the runner speed, without the effect of the wind, is 7.07 miles/hour W 22° S.

Une gratification est partagée en quatre employés - le premier reçois 150euro - le seconde reçois 7/20 de la gratification -le troisieme reçois 5/28 de la gratification - le quatrième reçois le 9/35 de la gratification a) Quel est le montant de la gratification ? b) Quel est la part reçu par le premier ? c) Quel est le montant reçu par chaque employés

Answers

Explication étape par étape:

Soit la gratitude totale x

Montant reçu par le premier employé = 150 euros

Si le second reçoit 7/20 de la gratification, alors;

Deuxième reçoit = ​​7/20 × x

Si le troisième reçoit 5/28 de la gratification, alors

Le troisième reçoit 5/28 × x -

Si le quatrième reçoit le 9/35 de la gratification, alors;

Le quatrième reçoit 9/35 × x

Il faut ensuite calculer le pourboire total x.

Résumer tout le montant reçu

7x / 20 + 5x / 28 + 9x / 35 +150 = x

0,35x + 0,179x + 0,257x + 150 = x

0,786x + 150

x-0,786x = 150

0,214x = 150

x = 150 / 0,214

x = 700,9 euros

2) Pour obtenir le partage collecté par le premier, nous utiliserons l'expression

X × 700,9 = 150

x = 150 / 700,9

x ≈ 15/70

x≈ 3/14

D'où le premier a recueilli environ 3/14 de la gratification totale.

2) seconde collectée 0,35x

= 0,35 × 700

≈245 euros

Le troisième a recueilli 5/28 de x

Le troisième a collecté 5/28 × 700

= 3500/28

= 125 euros

Le quatrième a recueilli 9/35 de x

= 9/35 × 700

= 6300/35

≈ 180 euros

5x – 10 = 0 please answer!!!!

Answers

Answer:

add 10 which gives yoy 5x=10 divode by 5 that givdz u 2

Answer:

x = 2

Step-by-step explanation:

what is the value of 6^-3

Answers

Six to the power of negative three is one over six to the power of three which is 1/216

Error Analysis Jessie incorrectly said the rate 1/4 pound 1/8 gallon can be written as the unit rate 1/32 pound per gallon what is the correct unit rate? What was Jessie's likely error?

Answers

Answer:

Step-by-step explanation:

Given that 1/4 pounds = 1/8 gallons

We are to find the unit rate per gallon, hence we will say;

x pounds = 1 gallon

Equate both expression

1/4 pounds = 1/8 gallons

x pounds = 1 gallons

Cross multiply

1/8 * x = 1/4

divide both sides by 1/8

(1/8x)/(1/8) = (1/4)/(1/8)

x = 1/4 * 8/1

x = 1/4 * 8

x = 2 pounds

Hence the unit rate per gallon is 2 pounds per gallon

Her error was that he multiplied both values together to arrive at 1/32 instead of dividing as shown in the

Mae Ling earns a weekly salary of $365 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,900 worth of merchandise?

Answers

Answer:

$732.5

Step-by-step explanation:

Mae Ling earns a weekly salary of $365 which means salary per week is $365

Then plus a 7.5% commission on sales at a gift shop if she sold $4,900 worth of merchandise, which means additional

(0.075×4900)=367.5

The total she make will be

367.5+365

=$732.5

Therefore,she will make $732.5 in a work week if she sold $4,900 worth of merchandise

Find the slope (-3, 7) and (0, - 2)
Can show steps too please I’ll mark u brainliest

Answers

Answer:

The answer is -3

Step-by-step explanation:

Slope means the rate of change of a line which is the letter m. Whenever you need to find slope remember this: m= y2-y1 over x2-x1.

(x1,y1)= (-3,7), ( x2, y2) = (0,-2) so the slope is -3.

Neveah goes out to dinner at a restaurant. The bill for dinner is $57.25, and Neveah gives the server a 20% tip. What is the total cost for dinner?

Need answer please :(

Answers

Answer:

11.45 + 57.25

Step-by-step explanation:

$68.70 is the correct answer because the question asks WHAT IS THE TOTAL COST FOR THE DINNER

The total cost he paid is $68.7

What is percentage?

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part;

Given:

Bill for dinner is $57.25

20% tip was given

So, 20% on 57.25 is

=0.20 * 57.25

=11.45

Hence, total he paid = 57.25 +11.45 = 68.7

Learn more about percentage here:

https://brainly.com/question/13244100

#SPJ2

Joaquín compró una docena y media de factura la docena son parte de grasa dos tercios tiene dulce de leche y el resto son medialunas cuántas son de grasa Cuánto tiene dulce de leche Cuántas medialunas compró

Answers

Answer:

2 facturas de grasa.

12 facturas con dulce de leche

4 medialunas

Step-by-step explanation:

Una docena contiene 12 facturas y media docena contiene 6 facturas. Entonces Joaquin compro un total de 18 facturas (12+6). Si la novena parte (1/9) de las facturas son de grasa entonces solo multiplicamos esta fraccion por la totalidad de las facturas.

18 * (1/9) = 2 facturas de grasa.

La cantidad de facturas que tienen dulce de leche son dos tercios (2/3) de la totalidad. Entonces multiplicamos esta fracion for la totalidad.

18 * (2/3) = 12 facturas con dulce de leche

Por final, la cantidad de media lunas es el resto de las facturas, entonces descontamos las facturas de grasa y con dulce de leche de la totalidad para saber cuantas facturas son medialunas

18 - 2 - 12 = 4 medialunas

The equation y = 6.85x could represent a variety of different situations .

Write a description of a situation that could be represented by this equation .

Answers

Answer:

For every x feet of rope purchased, the total cost(y) increases by $6.85.

Step-by-step explanation:

When most American’s throw away their laundry detergent bottle it has about 1/2 of an ounce of detergent left in it. Dexter’s equation, y= -1.6x+50, and Mya’s equation, y = 50(.75)x. represent how much detergent is left in their bottles after x washes. Who will throw away their laundry detergent bottle first?

Answers

Answer:

Mya’s equation

Step-by-step explanation:

Given that:

Detergent left in bottle after a certain number of washes x

Dexter’s equation,

y= -1.6x+50

Mya’s equation,

y = 50(.75)x

y = Detergent left in bottle.

Given that amount of Detergent left is about 1/2 ounces = y

For Dexter’s equation,

y= -1.6x+50

0.5 = 1.6x + 50

0.5 - 50 = 1.6x

-45.5 = 1.6x

x = 28.4375

For Mya’s equation :

y = 50(0.75)x

0.5 = 37.5x

0.5 / 37.5 = x

0.0133333 = x

Hence, Mya’s equation

Find x and y
у
60°
16

Answers

Answer:

thats hard dude why are you doing it

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

What is the circumstance of a circle with a diameter of 6 feet? Use 3.14 for n.

Answers

Answer:

C. 28.26

May I have brainliest please? :)

BRAINLIEST!
Which of the following math statements contain variable(s)? Check all that apply.

A. 13 - x = 9
B. 1 + 6 = 7
C. 15 - 5 = ___
D. ? + 7 = 12

Answers

Answer:

15

Step-by-step explanation:

I think A and D. This is because they all have a missing number. If they mean variable more literally then only A

Review the properties of exponents. In complete sentences, explain the process necessary to simplify the exponential expression. Complete your work in the space provided. Include your explanation, the mathematical steps, and the final, simplified expression.

Answers

Answer:

[tex]=\frac{2a^4}{3bd}[/tex]

Step-by-step explanation:

Given expression is,

[tex]\frac{2ab^{-1}}{3a^{-3}d}[/tex]

Further simplify the expression by converting the negative exponents into positive.

[tex]b_1=\frac{1}{b}[/tex]

[tex]a^{-3}=\frac{1}{a^3}[/tex]

By substituting these terms in the given expression,

[tex]\frac{2ab^{-1}}{3a^{-3}d}=\frac{2a(\frac{1}{b})}{3(\frac{1}{a})^3d}[/tex]

         [tex]=\frac{\frac{2a}{b}}{\frac{3d}{a^3} }[/tex]

         [tex]=\frac{2a}{b}\times \frac{a^3}{3d}[/tex]

        [tex]=\frac{2a^4}{3bd}[/tex]

If f(x) = x - 3 and g(x) = x^2, what is the value of (fºg)(2)?
1. 1
2. -1
3. 4
4. -4

Answers

Answer:

1

Step-by-step explanation:

First we need to find g (2) from g (2) = 2 ^ 2 to 4.

the result is 4, so f (4) asks, so f (4) = 4-3 = 1

WILL GIVE BRAINLIEST While playing a board game, Sam had to move back 6 spaces 9 times. What integer represents Sam's movement on the board for those 9 turns?

Answers

It is either 6•9 to find the spaces or 54 spaces.

In a system of two linear equations, the lines represented by each equation have the same slope and different y-intercepts. Which would be the total number of solutions to the system of equations?

Answers

Answer:

There will be no common solution

Step-by-step explanation:

Given that the lines that represent the equations in the system of the two linear equations have equal slope but that their y-intercept are different, we have;

The two lines are parallel to each other

The two lines are different lines, given that they have different y-intercept

By definition of parallel lines, we have that the two lines representing the two equations will never meet, and therefore, both equations do not have a common solution which is a value that satisfies both equations

Therefore, the two equations in the linear system of equations, do not have a common solution

Plsss help me if you know????

Answers

Answer:

n/6 = 1/2

2n = 6

n = 3

Hope my answer is correct

Answer:

n = 3

Step-by-step explanation:

There's two ways, first cross multiplication:

n/6 = 1/2

Cross multiplication so 2 times n and 6 times 1

2n = 6

n = 3

Second way:

n/6 = 1/2

(n/6 = 1/2) times 6

n = 6/2

n = 3

The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of bags of dog food:


Number of Bags
of Dog Food Number of Ounces
of Dog Food
3
36
4
48
5
60


What is the constant of proportionality?
12
36
39
72

Answers

Answer: 12

3×12=36

4×12=48

5×12=60

I hope this is good enough:

12 12 , hope this helps

Write the ratio 2/7 to 4 as a fraction in simplest form

Answers

Answer:

1/14

Step-by-step explanation:

2/7 to 4 means 2/7 to 4/1

2/7 * 1/4

= 2/28

You can simplify by dividing the numerator and denominator

which will give you 1/14

Hope this help :)

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