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sladkih [1.3K]
3 years ago
9

John has four more nickels than dimes in his pocket, for a total of

Mathematics
1 answer:
Temka [501]3 years ago
4 0
The correct equation would be: 2.) 0.05(x+4) + 0.10x = $1.25

A nickel is worth 5 cents. A dime is worth 10 cents.

no. of nickels = x + 4
no. of dimes = x

nickels + dimes = 1.25
0.05(x + 4) + 0.10x = 1.25
0.05x + 0.20 + 0.10x = 1.25
0.15x = 1.25 - 0.20
0.15x = 1.05
0.15x/ 0.15 = 1.05 / 0.15
x = 7 *no. of dimes.

no. of nickels = x + 4 = 7 + 4 = 11

To check:
0.05(11) + 0.10(7) = 1.25
0.55 + 0.70 = 1.25
1.25 = 1.25
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Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
Alex787 [66]

Answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

each class is 1.07 hours

Step-by-step explanation:

8 0
2 years ago
(0, -2) is a solution of the equation 2x - 3y = 6. true or false
lisov135 [29]

Answer:

It is a solution of the ordered pair.

Step-by-step explanation:

The y intercept is (0,-2)

5 0
3 years ago
Consider the points.
miskamm [114]

Answer:

6 units

Step-by-step explanation:

Use the distance formula, \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}.

Plug the x and y values from the given points into the distance formula:

\sqrt{([-4]-2)^{2}+(5-5)^{2}}.

Solve the square root:

\sqrt{36} = \sqrt{6^{2}} = 6

3 0
3 years ago
Suppose Burger King has run a major advertising campaign in the hopes of increasing monthly sales. To investigate the effectiven
Alexxandr [17]

Answer:

The right answer is:

a.H0: μd = 0; H1: μd > 0

Step-by-step explanation:

The claim that want to be tested is that the sales were significantly increased after the commercial, indicanting that the advertisement campaign was effective.

This claim is usually expressed in the alternative hypothesis as it has to have enough evidence to prove that it is true.

Then, the alternative hypothesis H1 should state that the difference (sales after - sales before) is higher than 0.

The null hypothesis would state that the difference is not significantly different from 0, or, in other words, that the sales are the same before and after and that the variation is due to pure chance.

Then, the null hypothesis H0 would state that the difference is equal to 0.

The right answer is:

a.H0: μd = 0; H1: μd > 0

4 0
3 years ago
Will give brainliest D:
Monica [59]

<u>Answer</u>:

Given below.

<u>Step-by-step explanation</u>:

1) Hypotenuse

2) Using Pythagoras theorem:

              35² + 12² = c²

                c = √1225+144

                c = √1369

                 c = 37  ....this is the length of missing side.

Here given that opposite is 35 , adjacent is 12 , hypotenuse is 37.

3) sin(θ) = opposite/hypotenuse

   sin(θ) = 35/37

4) cos(θ) = adjacent/ hypotenuse

    cos(θ) = 12/37

5) tan(θ) = opposite/adjacent

      tan(θ) = 35/12

6 0
2 years ago
Read 2 more answers
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