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1 year ago

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Mrs Smith is completing a mathematics problem. She knows when 6 is added to four times a number, the result is 50. What would be

the equation she should write to begin her work?

1 answer:

Lesechka [4]1 year ago

6 0

EXPLANATION:

-To formulate an equation, you must first know what data the exercise gives us to locate them correctly.

data:

-6 that must be added to a number.

-four times a number that is equal to 4x

-a result that is equal to 50

Now with these data we formulate the equation:

$\begin{gathered} \text{Equation:} \\ 6+4x=50;\text{ } \end{gathered}$

if we solve the equation we have:

$\begin{gathered} 6\text{ }+4x=50 \\ 4x=50-6 \\ 4x=44 \\ x=\frac{44}{4} \\ x=-\frac{22}{2} \\ x=\text{ }-11 \end{gathered}$

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icang [17]

Answer:

Colin will have $1055.46 after 7 years.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this question:

$P = 980, I = 0.011, t = 7$

So

$E = P*I*t$

$E = 980*0.011*7$

$E = 75.46$

Total

$T = E + P = 980 + 75.46 = 1055.46$

Colin will have $1055.46 after 7 years.

5 0

4 years ago

Craig went to see a play at a theater downtown. The first act was 45 minutes long. Intermission lasted for 55 minutes and the se

Digiron [165]

Answer:

The play started at 5:10 PM.

Step-by-step explanation:

We are given the following in the question:

Length of first act = 45 minutes

Length of intermission = 55 minutes

Length of second act = 1 hour and 10 minutes

1 hour = 60 minutes

Thus, length of second act =

$=60+10\\=70\text{ minutes}$

The second part ended at 8:00 PM. We have to find the starting time of play.

Starting time of play =

$= 8-\dfrac{45+55+70}{60}\\=8 - 3\text{ hours} + 10\text{ minute}\\=5:10\text{ PM}$

Thus, the play started at 5:10 PM.

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3 years ago

The Delhi metro track is 240km long today. Two years ago, it was 200 km long. By what percentage did metro tracl increase in the

aleksley [76]

A percent is 1 in 100 or 1/100

240km-200km=40km it increased 40km in the last 2 years

40/200=1/5=20/100=20%

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4 years ago

The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w

Sati [7]

Answer:

The sample size is $n = 600$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.48$

The margin of error is $MOE = 0.04$

Given that the confidence level is 95% the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

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

$Z_{\frac{\alpha }{2} } = 1.96$

The reason we are obtaining critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because

$\alpha$ represents the area under the normal curve where the confidence level interval ( $1-\alpha$ ) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$ is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

$MOE = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p(1- \r p )}{n} }$

substituting values

$0.04= 1.96* \sqrt{ \frac{0.48(1- 0.48 )}{n} }$

$0.02041 = \sqrt{ \frac{0.48(52 )}{n} }$

$0.02041 = \sqrt{ \frac{ 0.2496}{n} }$

$0.02041^2 = \frac{ 0.2496}{n}$

$0.0004166 = \frac{ 0.2496}{n}$

=> $n = 600$

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4 years ago

If f(x)=-x+7 and g(x)=x-3 what is (f g)(4)

bogdanovich [222]

Answer:

fg(4) = 6

Step-by-step explanation:

f(x) = -x + 7

g(x) = x - 3

fg(x) = -(x-3) + 7

= -x + 3 + 7

fg(4) = -4 + 10

= 6

6 0

4 years ago