3) Angela has 37 coins in dimes and nickels. She has a total of $3.30.
a) Write the system of 2 linear equations.
b) How many dimes does Angela have?
c) How many nickels does Angela have?

Answers

Answer 1

Answer:

hmmmmm b

Step-by-step explanation:

Answer 2
x + y = 37
5x + 10y = 330
STEP ONE:
Substitute the variables
x = 37 - y
STEP TWO:
Substitute the values
5(37 - y) + 10y = 330
STEP THREE:
Multiply
185 - 5y + 10y = 330
STEP FOUR:
Subtract 185 from both sides
-5y + 10y = 145
STEP FIVE:
Add
5y = 145
STEP SIX:
Divide
y = 29
STEP SEVEN:
Check
x = 37 - 29
x = 8

Therefore, Angela has 8 nickels and 29 dimes.

Related Questions

Helppp +star & +15 points

Answers

Answer:

y=1

Step-by-step explanation:

the slope is 0 and the y-intercept is 1, so y=0x+1, y=1

how do I simplify the expression -2.4+0.5f-14-4

Answers

9514 1404 393

Answer:

  0.5f -20.4

Step-by-step explanation:

There is only one term containing a variable (0.5f), but there are three constant terms. The constant terms can be combined by finding their sum in the usual way.

 -2.4 +0.5f -14 -4

  = 0.5f -(2.4 +14 +4)

  = 0.5f -20.4

ack plots points showing equivalent ratios on the coordinate plane below.

m c 0 16- 1. g
Which ordered pair, if plotted above, would represent a ratio that is equivalent to those shown?
(1, 9)
(3, 9)
(4, 18)

Answers

You are amazing and doing wonderful

Answer:

(4, 18)

Step-by-step explanation:

Help me with this too please hrlp

Answers

Answer:

3 * 10^4

Step-by-step explanation:

Here, we want to make a division

We want to divide 9 * 10^2 by 3 * 10^-2

That would be;

(9 * 10^2)/(3 * 10^-2)

= 9/3 * 10^2-(-2)

= 3 * 10^4

Given 2m+n=r, solve for m.​

Answers

Answer:

m= r-n/2

Step-by-step explanation:

2m+n=r

2m=r-n

m=r-n/2

nancy is making cupcakes for her schools bake sale. after 2 hours of work she has 41 cupcakes after 7 hours she has 141 cupcakes. write an equation to model the number of cupcakes y for cupcakes x for hours

Answers

The answer is:

y = 20x + 1

what is the equation that passes through the given point and has the given slope (-2, -1); m= -3

Answers

Answer:

y = - 3x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (- 2, - 1) into the partial equation

- 1 = 6 + c ⇒ c = - 1 - 6 = - 7

y = - 3x - 7 ← equation of line

Answer:

The equation would be y=-3x-7

Step-by-step explanation:

Our friend purchased a medium pizza for $10.31 with a 30% off coupon. What is the price of a medium pizza without a coupon? Do not include units (dollars) in your answer.

Answers

Answer:

the price of a medium pizza without a coupon is 14.73

Step-by-step explanation:

The computation of the price of a medium pizza without a coupon is given below:

Given that

The Price of medium pizza be 10.31 after considering the 30% off coupon

That means it is 70% value

So the 100% value would be

= 10.31 × 1 ÷ 0.70

= 14.73

hence, the price of a medium pizza without a coupon is 14.73

this is a personal question what do you do if your little sister will not stop bothering you and you are home allowen?

Answers

Answer: first try seeing what she wants and if that doesn’t work. either put on her favorite show with some snacks or go somewhere where you know she can’t find you. ☺️

Step-by-step explanation:

Is A ABC-A DEP? If so, identify the similarity postulate or theorem that
applies.

A. Similar - SAS
B. Similar - SSS
C. Similar - AA
D. Cannot be determined

Answers

Answer:

The similarity postulate that applies is;

C. Similar - AA

Step-by-step explanation:

The given parameters are;

ΔABC with angles ∠BAC = 30°, ∠ABC = 100° and ∠BCA = 50°

ΔDEF with angles ∠EDF = 30°, ∠DEF = 100° and ∠DFE = 50°

Therefore, the interior angles of ΔABC are equal to the corresponding interior angles of ΔDEF, which satisfies the Angle-Angle (AA) condition for similarity of two triangles based on the congruency of two interior angles of one triangle to two interior angles of the other triangle.

Help anyone? I need the questions worked out it doesn’t matter if you give me only one question

Answers

y2-y1/x2-x1. For A and B y2=4, y1=-4, x2=2 and x1=-2... Now u plug them in them, 4-(-4)/2-(-2)= 8/4=2. Slope equals 2. :)

Write down the next two terms in these quadratic sequences:
1.
9, 13, 19, 27,


2.
-5, 0, 9, 22,

Answers

1) 9,13,19,27,37,49
and i’m not sure about the 2nd one

Taylor is buying a chest freezer that had an original price of $145 but is
advertised at 25% off. Sales tax of 6.75% is applied to the discounted price.
How much will Taylor pay for the chest freezer?
a. $108.75 b. $116.09
C. $7.34
d. $108.08

Answers

Answer:B

Step-by-step explanation:

It's 116.09

g(t) = (t 1)2 = 20.25
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.

Answers

Answer:

The zeros are (-5.5, 0) and (3.5, 0).

Step-by-step explanation:

g(t) = (t + 1)² − 20.25

0 = (t + 1)² − 20.25

20.25 = (t + 1)²

±4.5 = t + 1

t = -1 ± 4.5

t = -5.5 or 3.5

In a room of 200 people, 22% have blue eyes. How many people have blue eyes?

Answers

Answer: 44 people

Step-by-step explanation: 200 x .22=44

44 people would have blue eyes you would multiply 200 X.22 = 44

Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.

Approximately how tall is the tree?

Answers

Answer:

[tex]\boxed {\boxed {\sf About \ 28.36 \ meters }}[/tex]

Step-by-step explanation:

Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.

sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacent

Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.

We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.

[tex]tan(\Theta)=\frac{opposite}{adjacent}[/tex]

opposite=x adjacent=5 mθ=80

Substitute in the known variables.

[tex]tan(80)=\frac{x}{5 \ m }[/tex]

We want to find x, the height of the tree. Therefore we need to isolate that variable.

x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.

[tex]5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m[/tex]

[tex]5 \ m* tan(80)=x[/tex]

[tex]5 \ m *5.67128182=x[/tex]

[tex]28.3564091 \ m = x[/tex]

The question asks for an approximation, so let's round to the nearest hundredth.

The 6 in the thousandth place tells us to round the 5 to a 6.

[tex]28.36 \ m \approx x[/tex]

The tree is about 28.36 meters tall.

Please help!!:
1. Write the equation of a line that is perpendicular to y= -1/3 x+6 and passes through the point (3,5).

2. Write the equation of a line that is parallel to y = 2x – 4 and passes through the point (-3, 4).

Answers

1) in order for two lines to be perpendicular, their gradients must multiply together to get -1

-1/3*b=-1

b=3

5=3(3)+b

5=9+b

b=-4

equation of the line is y=3x-4

2) parallel lines have the same gradient

4=2(-3)+b

4=-6+b

b=10

equation of the line is y=2x-10

Find the Error What error did the student make when solving the equation: 5x + 6 = 66 5x - 6 = 66 -6 5x = 60 5*5x= 60*5 X = 300 The student subtracted 6 from both sides instead of adding Student multiplied by 5 Vinstead of dividing by 5 Student got the wrong answer when subtracting 66-6 The student did not correctly eliminate the variable from one side of the equation

Answers

Answer:

The student multiplied by 5 instead of dividing by 5

Step-by-step explanation:

At the fourth step, the student multiplied each side by 5 rather than dividing it by 5. The opposite opperation from multiplication is division so they should have divided 5x and 60 by 5 here instead of multiplying it by 5. If this equation was done correctly, the correct answer would be x=12.

Someone please help me with this​

Answers

Answer:

The area of the shaded figure is:

20 units^2

Step-by-step explanation:

To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):

Area of a rectangle = long * wideArea of a rectangle = 6 * 4Area of a rectangle = 24 units^2

How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):

Area of a triangle = [tex]\frac{wide*height}{2}[/tex]Area of a triangle = [tex]\frac{4*2}{2}[/tex]Area of a triangle =[tex]\frac{8}{2}[/tex]Area of a triangle = 4 units^2

In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:

Area of the shaded figure = Area of the rectangle - Area of the triangleArea of the shaded figure = 24 units^2 - 4 units^2Area of the shaded figure = 20 units^2

I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.

In an electronics store, an iPod is $75. The sales tax is 7.5%. What is the cost of the iPod?

Answers

Answer:

$80.625

Step-by-step explanation:

$75 for the iPod times 0.075 = 5.625 which is the sales tax.

Then $75 (Cost of iPod) + 5.625 (Sales Tax) = $80.625 (Price of the iPod including the sales tax)

Sorry, if I am wrong. I tried my best and Hope this helps ;)

Simplify the expression below. ​

Answers

Answer:

[tex]\displaystyle 6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7^2 - 13}{24 - 18}[/tex]

Step 2: Evaluate

[Fraction] Exponents:                     [tex]\displaystyle \frac{49 - 13}{24 - 18}[/tex][Fraction] Subtract:                         [tex]\displaystyle \frac{36}{6}[/tex][Fraction] Divide:                             [tex]\displaystyle 6[/tex]

John sales model boats from a booth at a local fair. He purchases each model boat from a distributor for five dollars and the local fair chargers him a baby and $80 John cells each model boat for $50. Write a system of equations to represent the situation

Answers

Answer and explanation:

Profit from sale of model boats = Sales -costs(costs of goods purchases + expenses or charges by the local fair)

John's profit from the sale of model boats can be represented by the equation:

P= 50x-(5x+80)

Where P is profit from the sale of the model boats and x is number of model boats bought and sold. The 80 is constant as it is a fixed cost paid to the local fair.

For example if John buys and sells 20 model boats, he would make profit of:

Substitute x=20 in equation above

P= 50×20-(5×20+80)

P=1000-180

P=$820

It could be said that John is in a very profitable business and his profit is also dependent on volume of sales because the lower his sales the closer he gets to making a loss and not profit

Gerri is working on a project that need to be finish by Friday so far she has completed 1/3 of the project How much of the project does she have to finish By Friday . Answer is . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Answers

Answer:

Part of incomplete work = 2/3 of project

Step-by-step explanation:

Given:

Part of work completed = 1/3 of project

Find:

Part of incomplete work

Computation:

Part of incomplete work = 1 - Part of work completed

Part of incomplete work = 1 - 1/3

Part of incomplete work = 2/3 of project

Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Equation:
1
4
a +
1
3
a + 8 = 22
Carrie’s allowance was $.

Answers

Answer:

$24

Step-by-step explanation:

Let the total amount of her allowance = a

We are told that she spent $8 on belt

And the total amount she spent = $22

The Fraction of allowance spent on

Shirt = 1/4

Skirt = 1/3

Hence, the equation is given as:

1/4 × a + 1/3 × a + $8 = $22

Collect like terms

a/4 + a/3 = $22 - $8

a/4 + a/3 = $14

The Lowest Common Denominator = 12

3a + 4a/12 = $14

7a/12 = $14

Cross Multiply

7a = $14 × 12

7a = $168

a = $168/7

a = $24

Therefore, her total allowance = $24

Answer:

its 24 i took the quiz :)

Solve the equation for all values of x by completing the square.
x² – 18x= -66

Answers

Answer:

x=12.87298334

Step-by-step explanation:

What are the solutions to the following system of equations? Select the correct answer below.
y = x2 - 4x + 3
2x + y = 6
A) (-1,8) and (3,0)
B) (-1, 3) and (8,0)
C) (0,8) and (3, -1)
D) (3, 8) and (-1,0)

Answers

Answer:

A

Step-by-step explanation:

we can conclude from the second equation that when

2x + y = 6 then y = 6 - 2x. so instead of y in the first equation we use 6 - 2x.

now the equation would look like this : 6 - 2x = x^2 - 4x + 3 .

then we bring everything to one side of the equation : x^2 - 2x - 3 .

now we'll have two results for x ( because x^2 - 2x - 3 = 0 has 2 answers )

one of them is -1 and other one is 3.

if we put them in the first equation we will have 8 and 0 for y.

so A is the answer

Read the caption please, thank u so much!!!

Answers

Answer:

[tex]\huge\boxed{\sf S = 8}[/tex]

Step-by-step explanation:

Opposite sides and angles of a ║gm are equal.

So,

6S - 8 = 3S + 16

6S - 3S = 16 + 8

3S = 24

Divide 3 to both sides

S = 24 / 3

S = 8

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A chocolate bar is 3/4 of an inch long. If it is divided into pieces that are 3/8 of an inch long, then how many pieces is that?

Answers

Answer:

2 pieces

Step-by-step explanation:

3/4 = 6/8 (multiply by 2/2)

[tex]\frac{6}{8}/\frac{3}{8} =\frac{6}{8} * \frac{8}{3} = \frac{6}{3} =2pieces[/tex]

Can someone explain how to do this I'm lost.

Answers

Step-by-step explanation:

[tex]\huge\bold\purple{ 5 }[/tex]

[tex]\huge\bold\purple{ explanation }[/tex]

[tex]90(right \: angle) = (9x + 1) + (7x + 9) \\ 90 = 16x + 10 \\ 16x = 90 - 10 = 80 \\ x = 80 \div 16 \\ x = 5| [/tex]

Show your work to evaluate g(f(x)) if f(x)=x+2/2 and g(x)=1x−1

Answers

Answer:

x/2.

Step-by-step explanation:

We replace the x in g(x) by f(x):

g(f(x)) = 1((x + 2/2) - 1

= (x + 2)/2 - 1

= (x + 2 - 2)/2

= x/2.

Answer:

x/2

Step-by-step explanation:

g(f(x)) = (x+2/2) - 1

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

          = (x + 2 - 2) / 2

           = x/2

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