Janet has three coins.
One coin has a value
that is 5 times another
coin. The third coin has
a value that is 2 times
another coin. She has
404 altogether. What
coins does she have?
Write an equation to
represent your work and
solve.​

Answers

Answer 1

Answer:

Janet has coins worth 252.5, 101, and 50.5.

Step-by-step explanation:

Let us call the three coins [tex]a,b[/tex], and [tex]c[/tex].

The first coin [tex]a[/tex] is 5 times another coin (let's say [tex]b[/tex]); therefore,

[tex]a = 5b[/tex],

and the third coin is 2 times the value of another coin (it's coin [tex]b[/tex]):

[tex]c =2b[/tex].

The total worth of all coins is 404; therefore,

[tex]a+b+c =404[/tex]

or

[tex]5b+b+2b =404[/tex]

[tex]8b =404[/tex]

[tex]\boxed{b = 50.5}[/tex]

with the value of [tex]b[/tex] in hand, we find [tex]a[/tex] and [tex]c[/tex]:

[tex]a = 5b = 5(50.5)[/tex]

[tex]\boxed{a = 252.5}[/tex]

and for [tex]c:[/tex]

[tex]c = 2 b = 2 (50.5)[/tex]

[tex]\boxed{c = 101}[/tex]

Thus, Janet has 3 coins worth 252.5, 101, and 50.5.


Related Questions

Solve the following equation for d

M = d/F

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m= d/F
(f)m=d/F (F/1)
d=f(m)

Given triangle JKL : triangle XYZ, find the scale factor.

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Answer:

2/3

Step-by-step explanation:

i don't know how to explain it, but this is the answer :) good luck

Distrubite and Combine like terms
4(2a-5b-7)-3(2a+3b+5)

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You do the math first then work the letters so 2-5 ect

Answer:

2a-29b-43     pls give me brainlist because my answer is the best

Step-by-step explanation:

8a-20b-28-6a-9b-15

2a-29b-43

Which is more work, pushing with 115 N over 15 m or lifting 20 kg 10 m?

Answers

Answer: THEY ARE THE SAME

Step-by-step explanation:

Therefore, lifting 20 kg 10 m requires more work than pushing with 115 N over 15 m.

Note: It's important to mention that the unit of work is the Joule (J), where 1 Joule is equal to 1 N·m. So, in both cases, the units of work are in Joules.

Micahdisu please help

Answers

Answer:

1) A - 42°

2) 74°

3) B - 45°

4) B - 66°

Step-by-step explanation:

1) E = D+H

87 = 45 + H

H = 42°

2) 180 - 50 - D

D = 180 - 44 - 62 = 74°

3) F = 105

H = 180-105 = 75

I + H = C + E

I + 75 = 83 + 37

I = 45°

4) D = 180 - (E + F)

D = 180 - (30 + 57) = 93°

93 = A + 27

A = 66°

Answer: In figure 1, angle H = 42°. In figure 2, angle F = 56°. In figure 3, angle I = 45° and in figure 4, angle A = 66°

Step-by-step explanation: Please refer to the attached diagram for details.

From figure 1, if angle E measures 87, then angle F would be calculated as

Angle F = 180 - 87 {Sum of angles on a straight line equals 180}

Angle F = 93

Then looking at triangle FHD, we have angles D and F as 45 and 93. Angle H = 180 - (45 + 93) {Sum of angles in a triangle equals 180}

Angle H = 180 - 138

Angle H = 42

From figure 2, if triangle ACB has two angles given as 44 and 62, then the third angle C, would be calculated as

Angle C = 180 - (44 + 62) {Sum of angles in a triangle equals 180}

Angle C = 180 - 106

Angle C = 74

Note that angle D equals angle C {Opposite angles are equal}. So if angle D measures 74, then looking at triangle FED, we have two angles already, E and D which are 50 and 74. To calculate angle F, the equation would be

f = 180 - 50 - 74

f = 56

That is, angle F = 56.

From figure 3, we have angles C and E given as 83 and 37. To calculate angle G

Angle G = 180 - (83 + 37) {Sum of angles on a straight line equals 180}

Angle G = 180 - 120

Angle G = 60

Also, to calculate angle H,

Angle H = 180 - 105 {Sum of angles on a straight line equals 180}

Angle H = 75

Looking at triangle GHI, we have identified two angles which are 60 and 75. To calculate the third angle which is angle I,

Angle I = 180 - (60 + 75) {Sum of angles in a triangle equals 180}

Angle I = 180 - 135

Angle I = 45

From figure 4, if angles B and E measure 27 and 30 respectively then the whole of that angle measures 27 + 30 which equals 57.

So looking at the biggest of all three triangles, two angles have been identified which are angles F and {B + E}

To calculate angle A

Angle A = 180 - (57 + 57) {Sum of angles in a triangle equals 180}

Angle A = 180 - 114

Angle A = 66.

namois fish is 40 millmeters her guniuea pig is 25 centimeters

Answers

Answer: the guniuea pig is bigger by 25 centimeters!

Step-by-step explanation:

Fish= 40 milimeters = 4 centimeters

Guniuea pig= 25 centimeters

Answer:

the guniuea pig is bigger by 25 centimeters!

just easy

Polk Fitness sells gym passes in packs of 3. A competing gym, Benton Wellness, sells gym
passes in sets of 7. If both sold the same number of gym passes last month, what is the
smallest number of passes each could have sold?​

Answers

The answer to the question provided is 14

Divide 3x^3 - 2x^2 - 61x - 20 by x - 5.

3x^2 + 13x + 4
3x^2 - 13x + 4
3x^2 - 17x + 24 R 100
3x^2 + 17x - 24 R 100

Answers

Answer:

3x² + 13x + 4

Step-by-step explanation:

3x³ - 2x² - 61x - 20

3x³ - 15x² + 13x² - 65x + 4x - 20

[3x²(x - 5) + 13x(x - 5) + 4(x - 5)]/(x-5)

3x² + 13x + 4

Do u simplify 7 wholes and 8/10

Answers

Answer: Simplify 8/10 which is 4/5.

Step-by-step explanation:

Solve the equation. Then check your solution
Please select the best answer from the choices provided

Answers

Answer:

D. [tex]- \frac{13}{35}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} + x = \frac{3}{7} \\\\x = \frac{3}{7} - \frac{4}{5} \\\\x = \frac{15 - 28}{35} = -\frac{13}{35}[/tex]

Share 160 sweets in the ratio 8:12

Answers

let's divide the whole by the sum of its ratios, namely let's 160 ÷ (8+12), and then distribute accordingly.

[tex]\bf \textit{160 at 8:12 ratio}\qquad \qquad \cfrac{8\cdot \frac{160}{8+12}}{12\cdot \frac{160}{8+12}}\implies \cfrac{8(8)}{12(8)}\implies \cfrac{64}{96}[/tex]

Heeelllllkkpppp meeee

Answers

Answer:

it is 2

Step-by-step explanation:

corona is a beer virus so drink lots of it

Answer:

y = 1/3 +2

Step-by-step explanation:

Solving the elimination method what is 3x-y=9 2x-y=7

Answers

Answer:

x = 2 , y = -3

Step-by-step explanation by elimination:

Solve the following system:

{3 x - y = 9 | (equation 1)

2 x - y = 7 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x - y = 9 | (equation 1)

0 x - y/3 = 1 | (equation 2)

Multiply equation 2 by 3:

{3 x - y = 9 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{3 x - y = 9 | (equation 1)

0 x+y = -3 | (equation 2)

Add equation 2 to equation 1:

{3 x+0 y = 6 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 2 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer: {x = 2 , y = -3

Answer:

x=2 y=7.

Step-by-step explanation:

3x-y=9

-2x+y=7

x=2

2(2)+y=7

4+y=7

-4. -4

y=7

undo the subtraction of x-2=6

Answers

Answer:

x = 8

Step-by-step explanation:

I am assuming that you want to solve for x.

Note the equal sign, what you do to one side, you do to the opposite side. Isolate the variable, x. Add 2 to both sides:

x - 2 (+2) = 6 (+2)

x = 6 + 2

x = 8

x = 8 is your answer.

~

Cheese sticks that were previously priced at "10 for $1" are now "2 for $1". Find each percent change.


Part 1 out of 2

Find the percent decrease in the number of cheese sticks you can buy for $1.


The percent decrease is

Answers

Answer:

80%

Step-by-step explanation:

142% as a mixed numer in simplest form

Answers

Answer:

71/50 hope this helped

Step-by-step explanation:

Answer:

[tex]1\frac{21}{50}[/tex]

Step-by-step explanation:

[tex]142\% = \frac{142}{100} = 1\frac{42}{100} = 1\frac{21}{50}[/tex]

142% = 1.42

1/8 divided by 1/4 =

Answers

=

1 /8  / 1 /4

=( 1/ 8 )( 4 /1 )

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

= 4 /8

= 1 /2  or 0.5

Answer:

1/2

Step-by-step explanation:

To multiply fractions we do keep change flip, keeping the first fraction, changeing the division into multiplication and flipping the last fraction so we don't have to go into decimals   so 1/8 divded by 1/4 becomes

1/8 * 4/1

Now we multiply the numerators together and the denominators together and then put it back in fraction form. Another option is to cross reduce, both will be shown.

Multiplying numerators and denominators

1 * 4 = 4

8 * 1 = 8

Put it into fraction form;

4/8          Now simplify

1/2

Cross Reducing

To cross reduce you can divde two numbers that are accross from each other in a fraction equation (Multiplication only) by the same number

1/8 * 4/1      The four and eight are across from each other so we can cross reduce by 4 because that is there gcf

then we have

1/2 * 1/1       now we multiply the numerators by numerators and the denominators by denominators in this case we don't have to go that far though because 1/1 is 1 and anything times one is itself, therefore the awnser is

1/2

Find the product of 3 2/3 as a mixed number

Answers

Answer:

11/3

Step-by-step explanation:

Zara is six months into her first job, and she’s also attending community college. She is planning to start saving a portion of her paycheck and has created a monthly budget to track her spending. Which budget item should Zara reduce to increase her savings?

Answers

Answer:

B.Dining out

Step-by-step explanation:

I hope the below question is the full one that you want to ask

Select the correct answer. Zara is six months into her first job, and she’s also attending community college. She is planning to start saving a portion of her paycheck and has created a monthly budget to track her spending. Which budget item should Zara reduce to increase her savings? A. college tuition B. dining out C. rent D. utility bills

I think it is B: dinning out.

Because A C D are fixed cost, she could not adjust or change by herself. She can only save money when she cooks, do not need to go out for food.

What is 111%of 800 rounded to the nearest hundred

Answers

Answer:

[tex]900[/tex]

Step-by-step explanation:

Step 1:  Make an expression

What is 111% of 800

[tex]800 * (1 + 0.11) = x[/tex]

[tex]800 * (1.11) = x[/tex]

Step 2:  Multiply

[tex]800 * (1.11) = x[/tex]

[tex]888 = x[/tex]

Step 3:  Round to the nearest hundred

888

Since the tens place is greater than 5, we round up.

[tex]900[/tex]

Answer:  [tex]900[/tex]

HELP!!!! WILL MARK BRAINLEST IF CORRECT!


How is the distributive property used when finding the product of two polynomials? How are polynomials closed under multiplication?

Answers

Answer:

Multiplying polynomials is a bit more challenging than adding and subtracting polynomials. We must use the distributive property to multiply each term in the first polynomial by each term in the second polynomial. We then combine like terms. We can also use a shortcut called the FOIL method when multiplying binomials. Certain special products follow patterns that we can memorize and use instead of multiplying the polynomials by hand each time. We will look at a variety of ways to multiply polynomials.

Rocky walks his dog Fido 4 times around the
lock. If they walked a total of 1,144 feet,
how long is it to go around the block once?

Answers

Answer:

286

Step-by-step explanation:

1,144÷4=286


Find the area of the sector with a central angle of 60° and a radius of 5 inches. Round to the nearest tenth.

Answers

Answer:

15.4 inches square

Step-by-step explanation:

Formula for finding the sector of a circle is:

[tex]A = \frac{\theta°}{360°} \times \pi {r}^{2} [/tex]

Given that,

[tex]{\theta} = {60}^{0} [/tex]

r= 5 inches

Take;

[tex]\pi = 3.14[/tex]

By substitution,

[tex]A = \frac{60°}{360°} \times 3.14 \times {5}^{2} [/tex]

A =15.4 inches square

how many 8 oz bags of trail mix can be filled from a 10 pound bag of trail mix?​

Answers

Answer:

20 bags

Step-by-step explanation:

Solve the following system of equations. Enter the y-coordinate of the
solution. Round your answer to the nearest tenth.
5x+2y=7
- 2x + 6v=9

Answers

Y= 1.3 (Rounded to nearest tenth) x = 0.7 (rounded to the nearest tenth)

Step-by-step explanation:

You can solve this using substitution or elimination.

I used elimination.

-3(5x+2y =7)  <---- On this step I used multiplicitive property of equality and multiplied everything by -3.

-15-6y=-21

-2x+6y=9

+_____________________

Add these and we get -17x=12

We divide by -17 and we get that x= 12/-17

Substitute this back into the original equation and we get that y=1.3 (rounded)

Answer:x=0.95

Y=1.12

Step-by-step explanation:

5x+2y=7...(1)

-2x+6y=9..(2)

Multiply (1) by -2

-10x-4y=7...(3)

Multiply (2) by 5

-10x+30y=45..(4)

Substrate (3) from (4)

34y=38

Y=38/34

Y=1.12

Substitute y=1.12 to(1)

5x+2(1.12)=7

5x+2.24=7

5x=7-2.24

5x=4.76

X=4.76/5

X=0.95

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side The third side is 7
meters more than the first side. What is the length of each side?​

Answers

Answer:

The length of each side is 31.5m, 26.5m, 7m

Step-by-step explanation:

Let the length of the first side of the triangle be x meters.

Then, the second side is x-5 meters.

The third side is given as 7 meters.

The perimeter is 65 meters

This gives us the equation:

[tex]65 = x + x - 5 + 7[/tex]

[tex]65 - 7 + 5 = x + x[/tex]

[tex]63 = 2x[/tex]

[tex]x = \frac{63}{2} = 31.5[/tex]

The length of each side is 31.5m, 26.5m, 7m

Help, ill give brainliest

Answers

Answer:

its been awhile so i aint even going to try

Step-by-step explanation:

laskjdflaksjfasldkjfa;sldfjkal;kdfjasl;kfjasl;dkfj

The legs of a right triangle measure 4 and 6 inches. The area of the triangle is
5 in.2
24 in.?
12 in.2

Answers

Answer:

12

Step-by-step explanation:

The area of a right triangle is base1 * base2 *.5

This means the area is 4*6*.5 = 12

I need help with this question ASAP Please pick all of the correct ones

Answers

A: 32x-12; and 4*8x-4*3

For B: 7y+10y; and 17y

Hope this helps!

Answer:

(a):  4(8x - 3)

Option B, 32x - 12 because 4(8x - 3) distributes as 4*8x + 4*-3 = 32x - 12

Option D, 4*8x - 4*3 because it simplifies into 32x - 12

(b):  7y + 2y + 8y

Option C, 17y because 7 + 2 + 8 = 17

Option A, 7y + 10y because it adds to 17y

Which graph represents the solution to the inequality 11 Less-than-or-equal-to y - 43?

A number line going from 50 to 60. A solid circle is at 54. Everything to the left of the circle is shaded.
A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.
A number line going from negative 35 to negative 25. A solid circle is at negative 32. Everything to the left of the circle is shaded.
A number line going from negative 35 to negative 25. A solid circle is at negative 32. Everything to the right of the circle is shaded.

Answers

11 <= y -43

Solve for y:

First rewrite so y is on the left side:

Y-43 >= 11

Add 43 to both sides:

Y >=54

Since 54 is included in the answer it would be a solid dot on 54 and the shaded area would cover all numbers greater than 54.

The answer Is:

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Answer:

B. second choice

Step-by-step explanation:

I answered the question on Edge and got it right.

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