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Cloud [144]
3 years ago
11

Please help!!! Solve for A (equation in picture)

Mathematics
2 answers:
Alik [6]3 years ago
8 0
To solve this equation, you first need to get all the a's onto one side, because you want "a =", so you can add 2a
8 + 6a = -2a + 24
+ 2a
8 + 8a = 24
a is still not on its own yet, so we need to subtract 8 and then divide by 8:
8 + 8a = 24
- 8
8a = 16
÷ 8
a = 2
So your answer is a = 2, I hope this helps!
solniwko [45]3 years ago
4 0
You group the like terms together
6a+2a=24-8
8a=16
a=16÷8
a=2
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Which of the following numbers could not be represent a probability
e-lub [12.9K]
[0,1] could not be used to represent a probability.
6 0
3 years ago
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

8 0
3 years ago
Jenny and Natalie are selling cheesecakes for a school fundraiser. Customers can buy chocolate cakes and vanilla cakes. Jenny so
IrinaVladis [17]

The cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

<em><u>Solution:</u></em>

Let "c" be the cost of 1 chocolate cake

Let "v" be the cost of 1 vanilla cake

<em><u>Jenny sold 14 chocolate cakes and 5 vanilla cakes for 119 dollars</u></em>

Therefore, we can frame a equation as:

14 x cost of 1 chocolate cake + 5 x cost of 1 vanilla cake = 119

14 \times c + 5 \times v=119

14c + 5v = 119 ------- eqn 1

<em><u>Natalie sold 10 chocolate cakes and 10 vanilla cakes for 130 dollars</u></em>

Therefore, we can frame a equation as:

10 x cost of 1 chocolate cake + 10 x cost of 1 vanilla cake = 130

10 \times c + 10 \times v = 130

10c + 10v = 130 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

28c + 10v = 238 ------ eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

28c + 10v = 238

10c + 10v = 130

( - ) --------------------------

18c = 108

c = 6

<em><u>Substitute c = 6 in eqn 1</u></em>

14(6) + 5v = 119

84 + 5v = 119

5v = 119 - 84

5v = 35

v = 7

Thus cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

8 0
3 years ago
Find the value of x if 212x5 is a multiple of 3 and 11 please find out now guys HELP!
sammy [17]

Answer:

x = 8

Step-by-step explanation:

If the number 212x5 is a multiple of 3, the sum of the digits needs to be a multiple of 3, so we have:

2 + 1 + 2 + x + 5 = 10 + x

The value of x can be 2, 5 or 8

If the number is a multiple of 11, we have to calculate the first number minus the second, plus the third, minus the fourth... and so on, and the result needs to be a multiple of 11. So we have:

2 - 1 + 2 - x + 5 = 8 - x

x needs to be 8, so we have 8 - 8 = 0, that is a multiple of 11.

So the value of x is 8.

8 0
3 years ago
An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviatio
Lena [83]

Answer:

The  width is  w = \$ 729.7

Step-by-step explanation:

From the question we are told that

   The population standard deviation is  \sigma =  \% 1,000

    The  sample size is  n  = 50

    The sample mean  is  \= x  =  \$ 15,000

Given that the confidence level is  99% then the level of significance is mathematically represented as  

               \alpha  =  100 - 99

=>            \alpha  =  1\%

=>             \alpha  = 0.01

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is

             Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } =  2.58

Generally margin of error is mathematically represented as

             E =  Z_{\frac{\alpha }{2} *  \frac{\sigma }{\sqrt{n} }

substituting values

              E = 2.58 *  \frac{1000 }{\sqrt{50} }

              E = 2.58 *  \frac{1000 }{\sqrt{50} }

               E = 364.9

The width of the 99% confidence interval is mathematically evaluated as

         w = 2 * E

substituting values

          w = 2 * 364.9

          w = \$ 729.7

5 0
2 years ago
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