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Ganezh [65]
2 years ago
11

If 2x + 3y = 194 and x = 28, what is the value of y?

Mathematics
2 answers:
bogdanovich [222]2 years ago
8 0

Answer:

46

Step-by-step explanation:

For the value of y, substitute x = 28 into the equation.

2x + 3y = 194

2(28) + 3(y) = 194

56 + 3y = 194

3y = 194 - 56

3y = 138

dividing bothsides by 3

y = 46

Katena32 [7]2 years ago
8 0

Answer:

y = 46

Step-by-step explanation:

We want to find the value of y

2x+3y = 194

We are given the value of x

x=28

Substitute the value of x into the first equation

2(28)+3y = 194

56 + 3y = 194

Subtract 56 from each side

56+3y -56 = 194 -56

3y = 138

Divide each side by 3

3y/3 = 138/3

y =46

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The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs a minimum number o
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Answer:

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

Step-by-step explanation:

For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:

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Alternative hypothesis: \mu > 15

And the statistic is given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

7 0
3 years ago
Sarah is wrapping the rectangular prism box for her Valentine. She calculated how many square meters of wrapping paper she would
AnnyKZ [126]

Answer:

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7 0
2 years ago
Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?
Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

p(x) =  {x}^{3}  + 2 {x}^{2}  - 3x - 4

is divided by x+1, then the remainder is given by

p( - 1)

We substitute x=-1 into the function to obtain,

p( - 1) =  {( - 1)}^{3}  + 2 { ( - 1)}^{2}  - 3( - 1) - 4

We simplify to get:

p( - 1) =  -  1+ 2 (1)   + 3 - 4

p( - 1) = 4- 4

p( - 1) = 0

Katnis is right because the remainder is zero

3 0
3 years ago
Chance bought a surf board for 249. Now it's on sale for 221.10. Find the percent of the discount
Masteriza [31]

<u>Answer:  </u>

Chance bought a surf board for 249. Now it's on sale for 221.10 and 11.20% is the discount.

<u>Solution: </u>

Step 1:

Bought price= RS.249

Sale price=RS.221.10

Step 2:

Discount = bought price - sales price

Discount = 249 - 221.10

Discount = 27.9

Step 3:

Discount Percent = \frac{\text {Discount}}{M R P} \times 100

Substitute the value for Discount which we found in step 2 in the above formulae

Discount Percent = \frac{27.9}{249} \times 100

On simplification, we get

\frac{27.9}{249} \times 100

Discount Percent = 11.20%

Result:

Hence from the given data, we got the discount percent is 11.20%

5 0
3 years ago
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