Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.

Answers

Answer 1

Answer:

6 dimes & 10 quarters

Step-by-step explanation:

Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.

d + q = 16

0.1d + 0.25q = 3.1

Solve the first equation for d and plug into the second equation.

d = 16 - q

0.1(16 - q) + 0.25q = 3.1

1.6 - 0.1q + 0.25q = 3.1

0.15q = 1.5

q = 10

d + q = 16

d + 10 = 16

d = 6

Answer: 6 dimes & 10 quarters

Answer 2

Benjamin has 6 dimes and 10 quarters.

What is linear equation?

A linear equation is  defined as an equation in which the highest power of the variable is always one.

Given that two equations,

d + q = 16

0.1d + 0.25q = 3.1

Where q represents the number of quarters in his wallet, and d represents the number of dimes.

d = 16 - q

0.1(16 - q) + 0.25q = 3.1

1.6 - 0.1q + 0.25q = 3.1

0.15q = 1.5

q = 10

d + q = 16

d + 10 = 16

d = 6

Hence Benjamin has 6 dimes and 10 quarters.

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Related Questions

Evaluate the expression.

2
3
(

7
)
+
2
3
(

5
)
3
2

(−7)+
3
2

(−5)

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

Also have a great day and remember youre worth, dont let no boy/girl tear u down. leave them h*es aside and focus on yo self!!!


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

The change in y over the change in x between points is the slope. 53-29 over 3-2 is the slope. 24/1 is 24. You need the equation in y=mc+b form. b is the y intercept. (0, -19) is the point from the table containing the y int.. b=-19. Plug 24 and -19 into mc+b. To get y=24x-19

Lines m and n are parallel Line m is described by the equation y = 40 +2. Line n contains the point (1, -3). Which of the following is an equation for linen?
A Oy-3= (2+1)
B. Oy+ 3 = 4(x - 1)
M
cOy-3 = 4(2+1)
DOy+3 = (- 1)

Answers

Answer:

B)Oy+ 3 = 4(x - 1)

Equation of the straight line   y +3 = 4( x-1)

Step-by-step explanation:

Explanation:-

Step(i):-

Given that the equation   y = 4x +2

and given that the point (1,-3)

The equation of the parallel line to the given line

                       ax +by +k=0

                       4x-y +k=0

This line is passing through the point (1,-3)

                  ⇒ 4(1) -(-3) +k=0

                  ⇒   4+3 +k=0

                          7 +k=0

                             k =-7

The equation of the Parallel line  4x-y -7 = 0

Step(ii):-

Given that the slope m = 4 and the point (1,-3)

Equation of the straight line

             y - y₁ = m(x-x₁)

             y -(-3) = 4( x-1)

            y +3 = 4( x-1)

help


There are 4 housekeepers working on each floor. One room only requires one housekeeper. If the housekeepers try distributing the work equally, how many housekeepers need to clean more rooms that the others?

Answers

35 rooms + 3 suites = 38 total rooms.

38 / 4 = 9.5

2 house keepers can clean 9 rooms each and 2 house keepers can clean 10 rooms each

2 Housekeepers need to clean more rooms than the other two.

Autumn buys 5 hats at $8.99 each. How much does she spend?

Answers

Answer:

Autumn spends $44.95 On hats. Why would she need 5 hats? I don’t know.

Step-by-step explanation:

5 hats, all costing $8.99

You do 5*8.99, and this gives you $44.95

Answer:

5 x 8.99 = 44.95

Step-by-step explanation:

I need help on this. Can someone pls help me

Answers

Answer:

2

2

3x

Step-by-step explanation:

1.) we can divide both sides by three to get

(3x+6)/3=x+?

x+2= x+?

from here we can tell that ?=2

2.) Let's start by dividing both sides by negative one

(x-2)/ -1= ?-x

simplify

-x+2= ?-x

Here we get ?= 2

3.)

Let's mulitply both sides by 5 to get

15x-10= 5(?-2)

15x-10 = 5?-10

15x= 5?

3x= ?

the answer here is 3x

A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas​

Answers

Answer:

392 miles in all.

Answer:

392 miles  

Thats it

the fork is my user

Answers

Answer:

cool

Step-by-step explanation:

Answer:

LOL that's just

Step-by-step explanation:

epik uhhh wsg?

lowest common factor of 72 and 108​

Answers

Answer:

The lowest common factor of 72 and 108 is 216

A cookie factory uses 1/3 of a bag of flour in each batch of cookies. The factory used 2/3 of a bag of flour yesterday. How many batches of cookies did the factory make?

Please Help

Answers

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

How much would you need to deposit in an account each month in order to have $40,000 in the account in 8 years? Assume the account earns 3% annual interest compounded monthly.

Answers

Answer:

$166666.67

Step-by-step explanation:

$40000 = amount after 8 years time = 8 years interest = 3%principle amount = ?? ( p )$40000 = (( p ) × 3 × 8 )÷100p = (40000 × 100) ÷ ( 3 × 8 )p = $166666.67

MARK ME AS BRAINLIST

Given the linear system:

5x + 3y = 17
-8x - 3y = 9

What is the correct formula for the solution to the linear system?

Answers

-3x=26 when you solve using elimination, so then x= -8.6 and plug that in to find y and then see which answer matches

Answer:

Step-by-step explanation:

For this question, it's C

Find the minimum value for the following quadratic equation.
f(x) = 3x2 + 6x-1

Answers

Answer:

(-1,-2)

Step-by-step explanation:

Maybe

Michael is watching a movie that is 2 1/3 hours long. If he has already watched 1 2/9 hours of the movie, how much of the movie is left?

__ __/__

Answers

About an hour and 7 minutes is remaining

I need help with geometry shapes

Answers

Answer:

What do you need though...

A basic rundown since I have no clue what you need help with

Parallelograms

(4 sided shapes that always adds up to 360 degrees if you add all the angles inside with opposite sides parallel)

Squares, rectangles (most common)

Triangles

3 sided figures with all the interior angles being added up equals to 180 degrees. The 3 sides of a triangle can be found with a^2+b^2=c^2.

The properties are 2 legs and 1 hypotenuse. To determine if its a triangle, if the 2 legs added up (two of the shortest sides) they must be greater then the hypotnuse (greatest side).

THese are the two of the most common shapes if you need an huything else just lemme know in the comments.

Plz solve the calculus :')

Answers

Answer:

[tex] \frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c[/tex]

Step-by-step explanation:

[tex] \int \frac{1}{ \sqrt{x} - \sqrt{x - 1} } dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x} - \sqrt{x - 1} )( \sqrt{x} + \sqrt{x - 1} )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x})^{2} - (\sqrt{x - 1} )^{2}} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - (x - 1 )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - x + 1} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ 1} dx \\ \\ = \int (\sqrt{x} + \sqrt{x - 1}) dx \\ \\ = \int \sqrt{x} \: dx+ \int\sqrt{x - 1} \: dx \\ \\ = \int {x}^{ \frac{1}{2} } \: dx+ \int {(x - 1)}^{ \frac{1}{2} } \: dx \\ \\ = \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} } + \frac{ {(x - 1)}^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} {x}^{ \frac{3}{2} } + \frac{2}{3} {(x - 1)}^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \bigg[ \sqrt{ {x}^{3} } + \sqrt{ {(x - 1)}^{3} } \bigg] + c \\ \\ = \bold{\purple {\frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c}} [/tex]

please help me with geometry question :)

Answers

Given:

The graph of a triangle ABC.

A line is parallel to AC and passes through the point D.

To find:

The point at which the intersection of this parallel line be with the line BC.

Solution:

From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).

Slope of AC is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{1-7}{9-1}[/tex]

[tex]Slope=\dfrac{-6}{8}[/tex]

[tex]Slope=\dfrac{-3}{4}[/tex]

Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].

The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is

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

[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex]              ...(i)

From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.

Putting x=9, we get

[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).

cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste​

Answers

Answer:

La longitud del alambre que sostiene el poste es 8.94 metros.

Step-by-step explanation:

La longitud del alambre se puede calcular usando Pitágoras:

[tex] L^{2} = P^{2} + B^{2} [/tex]                      

En donde:

L: es la longitud del alambre =?

P: es la altura del poste = 8 m

B: es la distancia del alambre al poste = 4 m

Entonces, la longitud del alambre es:

[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]  

Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.

                               

Espero que te sea de utilidad!

Please help pleasseee

Answers

Step-by-step explanation:

hope this is correct.......

Answer:

M = 26

Step-by-step explanation:

4m + 3m - 5 + 3 = 180 degree

7m -2 = 180 degree

7m = 180+2

7m = 182

m = 182/7

m =   26

26 x 4 - 5 = 104 - 5 = 99

26 x 3 +3 = 78+ 3 = 81

8.652
10)
1.2
Help please

Answers

Answer:

1.921

Step-by-step explanation:

1.921 is the correct anwser

Maria has 6 pizza slices and wants to split them among her and 8 other friends. If each person gets the same amount, how much of the pizza slice will each person get?

Answers

Answer:

1 if u cut  all of them in half

Step-by-step explanation:

1 if you cut them in half ok

PLEASE ANSWER THIS QUESTION!!!!!!!!!!!!!

uhhh... my math grade is a D and i dont have my phone and i want it back so please just help me, this will get my grade up to a C or a B at least so help

Answers

Answer:

function one

Step-by-step explanation:

the x intercept in function one is a negative number

Answer: function one

Step-by-step explanation:

A recent General Social Survey asked respondents how many close friends they had. For a sample of 1467 people, the mean was 7.4 and the standard deviation was 11.0. The distribution had a median of 5 and a mode of 4.Based on these statistics, would you expect this distribution to be bell-shaped, left skewed, or right skewed?

Answers

Answer:

This distribution should be expected to be right skewed.

Step-by-step explanation:

Pearson skewness:

The skewness of a data set is given by the subtraction of the mean by the mode, divided by the standard deviation.

If the coefficient is positive, the distribution is right skewed.

If the coefficient is negative, the distribution is left skewed.

If the coefficient is sufficiently close to 0(+/- 0.05), the distribution is bell shaped.

In this question:

Mean 7.4, mode 4, standard deviation 11

(7.4-4)/11 = 3.4/11 = 0.31

Positive coefficient, so right skewed.

arkadaşlar 81×56 kaç​

Answers

Answer:

big

Step-by-step explanation:

pp

Answer:

4536

Step-by-step explanation:

Hesap makinesi kulan

WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW​

Answers

Answer:

gdfgdf

Step-by-step explanation:

Please help me it hard

Answers

The mean is the average of all numbers so you add 9+8+12+6+10 and you get 45
Now count how many numbers there are or days which is 5

45 divided by 5 is 9

The answer is 9 pages per day

Hope this helps

What is the x- value of the midpoint between A (-8,-6) and B (0, 6)?

Answers

Answer:

Step-by-step explanation:

Take average of the x-coordinates of A and B.

(-8+0)/2 = -4

x-coordinate of midpoint = -4

The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.

Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.

What is the midpoint?

The midpoint is that point of the line which has an equal distance from both ends of the line.

the x  value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = -  4

Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.

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Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms.

Answers

each one would be two and a half inches

Simpify the expression.
5+4z-2z

Simpilfied expression ​

Answers

Answer:

2z + 5

Step-by-step explanation:

you have to combine like terms

subtract 4z - 2z and you get 2z

the number with the variable next to it goes first not the constant

2z + 5

the variable is z and the constant is 5 because it doesn't have variable next to it

hope this makes sense and helps :)

tell me if you have any questions

Step-by-step explanation:

Here as the like terms only are 4z and -2z so,

We simplify the like terms:

5 + 4z - 2z. [B.O.D.M.A.S rule] (subtraction only)

= 5 + 2z (Ans)

I need help on this?

Answers

Answer:

it’s 65

Explanation:

because I went within
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