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Rudik [331]
2 years ago
13

A plumber charges $65 for a service call, plus $32 per hour of service. If he charged Mr. Jackson $257, how many hours did we wo

rk? Write an equation that represents the situation. Then, find how many hours he worked.
Mathematics
2 answers:
olga2289 [7]2 years ago
6 0
Equation: 65+32x=257
(65-65)+32x=257-65
32x=192
32x/32=192/32
X=6
He worked 6 hours
marishachu [46]2 years ago
4 0
257= 32x+65 he worked 6 hours
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Answer:

200g plain flour

150g almonds

225g sugar

150g butter

Step-by-step explanation:

80g÷4×10

60g÷4×10

90g÷4×10

60g÷4×10

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2 years ago
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Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
algol13
Answers:
x = 24
y = 8√3
Explanation:

1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.

2) The variables given represent:

x: adjacent-leg to angle 30°
y: opposite length to angle 30°

3) sine ratio:

sin 30° = opposite-leg / hypotenuse = y / (16√3)

⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3

4) cosine ratio

cos 30° = adjacent-leg / hypotenuse = x / (16√3)

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2 years ago
A set of a thousand numbers has a mean of zero.
Alona [7]

We want to find the mean of two elements in a set, given that we know the other elements of the set and the mean of the whole set.

The answer is: -490

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For a set with N elements {x₁, x₂, ..., xₙ} the mean is given by:

M = \frac{x_1 + x_2 + ... + x_n}{N}

Here we know that:

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  • The set has 1000 elements.
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We want to find the mean of the values of A and B.

First, we can start by writing the equation for the mean:

\frac{1 + 1 + 1 + ... A + B}{1000}  = 0

We can rewrite this as:

1 + 1 + 1 +... + A + B = 0

And we have 998 ones, then:

1 + 1 + 1 +... + A + B = 998 + A + B = 0\\\\B = - 998 - A

Now we have B isolated.

With this, the mean of A and B can be written as:

\frac{A + B}{2}  = \frac{A - 980 - A}{2} = -490

So we can conclude that the mean of the other two numbers is -490.

If you want to learn more, you can read:

brainly.com/question/22871228

5 0
2 years ago
Circle has a radius of 6 cm.
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Answer:

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Simply subtract the triangle's area from the squares for the final answer of 2167 meters squared.

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3 years ago
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