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vazorg [7]
3 years ago
14

Try, check, and revise or write an equation to solve

Mathematics
1 answer:
Ganezh [65]3 years ago
6 0

Answer:

156 seats were sold at the store and 244 at the gallery

Step-by-step explanation:

Let the amount of stalls be x

Let the price per ticket for gallery be y

If 400 seats were sold in total, then;

x+y = 400 ... 1

If concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery with a total of $2888, then;

8x + 6y = 2888 ....2

Solve both equation simultaneously

x+y = 400 ... 1 * 8

8x + 6y = 2888 ....2 .*1

__________

8x+8y = 3200 .

8x + 6y = 2888

Subtract

__________

8y - 6y = 3200 - 2888

2y = 312

y = 312/2

y = 156

Since x = 400 - x

y = 400 - 156

y = 244

hence 156 seats were sold at the store and 244 at the gallery

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Write 27 as a power and as repeated multiplication
Oxana [17]

Answer:

3*3*3

3^3

Step-by-step explanation:

27 = 9*3

    = 3*3*3

    = 3^3

6 0
3 years ago
Read 2 more answers
Q3. In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to
blondinia [14]

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

3 0
3 years ago
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
The distance between two cities on a map is 10 in. The actual distance between the cities is 135. What is the scale on the map?
spayn [35]
The scale on the map is 1 in = 13.5 units


135/10 = 13.5
4 0
3 years ago
ST | PR. Find QR. 35 28 40
Greeley [361]

Answer:

The answer is 47

Step-by-step explanation:

I'm pretty sure this is the answer :)

40 - 28 = 12

35 + 12 = 47

Proof: 35 - 28 = 7

          47 - 40 = 7

8 0
3 years ago
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