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3 years ago

The system of linear equations 5 x + 3 y = 3 and x + y = negative 1 is graphed below.

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

7 0

Answer:

I think the answer is (4,-3)

Makovka662 [10]3 years ago

5 0

The answer to this question will be (4,-3)

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1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

Ad libitum [116K]

Answer: (a) The ratio of spirit to varnish is 1 : 3

(b) You will need 80 ml of mineral spirits

Step-by-step explanation: (a) If you have to mix 25% mineral spirit to the varnish as required in the question, then the whole solution would effectively contain 25 percent spirit and 75 percent varnish, giving you a hundred percent solution. To express both quantities in ratio can be done as follows;

Ratio = Spirit : Varnish

Ratio = 25 : 75

Ratio = 1 : 3

(b) Next, if you use 240 ml of varnish, this quantity would constitute 75 percent or ratio 3 out of 4 of your total solution. Therefore 240 ml of varnish can be expressed as follows;

240 : x = 3 : 4

Where x is the total solution and the right hand side (3 : 4) expresses the ratio of varnish in relation to the total solution. Hence,

240/x = 3/4

By cross multiplication you now have,

3x = 240 * 4

x = 960/3

x = 320

If x is the total solution which is 320 ml, and varnish constitutes 240 ml, then spirit equals,

Spirit = Total solution - varnish

Spirit = 320 - 240

Spirit = 80.

Therefore, you would need 80 ml of mineral spirits.

(c) Robson's tapestries all measure 1.5 m by 1 m. This can be expressed in whole numbers by first eliminating the decimal. Multiplying both dimensions by 10 results in,

1.5 (10) x 1 (10)

15 x 10

If both measurements can also be expressed as 15 m by 10 m, then reducing to the least terms would result in 3 by 2. That is,

15/5 by 10/5

3 by 2

Expressed as a ratio, this now becomes

Ratio = 3 : 2

6 0

4 years ago

How do you factor this polynomial?

iragen [17]

The answer is (3x + 5) ^2

5 0

3 years ago

A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. If the wheel rotates 15 time

Oksi-84 [34.3K]

To fint the length first one must find circumference to do that we use the formula D*Pi (diameter times Pi. Diameter = 8 Pi is the constant of 3.1415
so. 8*3.1415 = appox 25.1327. cow that we have circumference we should multiply by the amount of times the wheel rotates (15)
so. 15*251327 = appox 376.9911in now convert to feet. 12 in = 1 foot so divide by 12
so 376.9911 / 12 = about 31.4
round down to 31 feet

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3 years ago

Which function equation is represented by the graph?

Drupady [299]

The correct answer is C. <span>f(x)=20(35)x</span>

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4 years ago

In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they

Arte-miy333 [17]

Answer: 0.22

Step-by-step explanation:

We know that the best point estimate for the difference between two population mean is the difference between their sample means.

Given : For the 39 randomly selected upperclassmen, the sample mean was 0.12 and sample standard deviation was 0.42. For the 35 randomly selected underclassmen, the sample mean was 0.34 and the sample standard deviation was 0.87.

Let A denotes the population of upperclassmen and B denotes the population of underclassmen .

$\overline{x}_A=0.12$

$\overline{x}_B=0.34$

Then, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen will be :-

$\overline{x}_B-\overline{x}_A=0.34-0.12=0.22$

Hence, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen =0.22

5 0

3 years ago