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lisabon 2012 [21]
3 years ago
7

Can someone please give me the answer.

Mathematics
2 answers:
statuscvo [17]3 years ago
8 0

Answer:

<em>x = 9</em>

Step-by-step explanation:

Vertical angles are congruent, so their measures are equal.

4x + 6 = 7x - 21

Subtract 7x from both sides.

-3x + 6 = -21

Subtract 6 from both sides.

-3x = -27

Divide both sides by -3.

x = 9

noname [10]3 years ago
5 0

Because of the postulate "Vertical angles are equal" we can write the equation:

4x + 6 = 7x - 21

Then solve:

(4x + 6) + 21 = (7x - 21) + 21

(4x + 27) - 4x = (7x) - 4x

27/3 = 3x/3

<u>x = 9</u>


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List three different examples of rational numbers
fiasKO [112]

Answer:

5, 1.75, .001, and -0.1

Step-by-step explanation:

Number As a Fraction Rational?

5                  5/1             Yes

1.75                  7/4              Yes

.001               1/1000      Yes

−0.1               −1/10              Yes

Hope this Helps (✿◡‿◡)

P.S I got this off the internet.

4 0
3 years ago
A piece of nickel has a mass of 3.48kg and a volume of 400cm3.
lisov135 [29]

Answer:

density = 0.0087 kg/cm³

Step-by-step explanation:

density = mass/volume

= 3.48/400 = 0.0087 kg/cm³

4 0
2 years ago
A 7/16- inch- long bolt is used in a machine.what is the length of the bolt written as a decimal?
mezya [45]
0.4375 inch is the answer

7 0
3 years ago
The answer please. (F-g)(-3)
ad-work [718]
There are two ways to do this
Method 1:

Find (f-g)(x) first
(f-g)(x) = f(x) - g(x)
(f-g)(x) = (5x^2+3) - (-2x+4)
(f-g)(x) = 5x^2+3+2x-4
(f-g)(x) = 5x^2+2x-1

Then plug in x = -3
(f-g)(-3) = 5(-3)^2+2(-3)-1
(f-g)(-3) = 5(9)+2(-3)-1
(f-g)(-3) = 45-6-1
(f-g)(-3) = 39-1
(f-g)(-3) = 38

-----------------------------------------

Method 2:

Find f(-3)
f(x) = 5x^2+3
f(-3) = 5(-3)^2+3
f(-3) = 5(9)+3
f(-3) = 45+3
f(-3) = 48

Find g(-3)
g(x) = -2x+4
g(-3) = -2(-3)+4
g(-3) = 6+4
g(-3) = 10

Subtract the two results
(f-g)(-3) = f(-3) - g(-3)
(f-g)(-3) = 48 - 10
(f-g)(-3) = 38

-----------------------------------------

Whichever method you pick, the answer is: 38

4 0
3 years ago
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what
Citrus2011 [14]

<em>The complete exercise with the answer options is as follows:</em>

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

692 thick crust pizzas

Step-by-step explanation:

With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.

Type of Crust Number Sold

Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

total pizzas  : 1040

Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas

1040→240

3000→x

x= \frac{3000x240}{1040} = 692

Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas

3 0
3 years ago
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