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4 years ago

Please help me with this

Mathematics

2 answers:

kompoz [17]4 years ago

4 0

Answer:

The answer would be X=24

Step-by-step explanation:

Y is multiplied by 3 to get the answer 30. Because they are varied directly you have to multiply the 8 by 3 to get your answer!

-Hope this helps-

~Bai~

marissa [1.9K]4 years ago

3 0

Answer:

x = 24

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 8, thus

k = $\frac{y}{x}$ = $\frac{10}{8}$ = $\frac{5}{4}$

y = $\frac{5}{4}$ x = 1.25x ← equation of variation

When y = 30

30 = 1.25x ( divide both sides by 1.25 )

x = 24

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I need help with my math

Nat2105 [25]

Answer:

Part A. C=9

Part B. (w+3)² =139

Part C. w = 8.8 inch

Step-by-step explanation:

Given from the question length of the the picture = (2w+12) inches

Width of the picture = w inches

Area of the picture = 260 inch²

Part A. Area of the picture with the given dimensions= w×(2w+12)

Or w(2w+12) = 260

2w²+12w = 260

2(w²+6w) = 2×(130)

w²+6w = 130

Or w²+6w +9 = 130+9 ⇒ which is in the form of w²+6w+c = 130+c

Therefore for c = 9 we will get a perfect square trinomial.

Part B. As we have seen the equation in part A.

As required equation will be (w+3)²=139

Part C. Since (w+3)² = 139

Then by taking under root on both the sides of the equation

(w+3) =√139 = 11.8

(w+3)-3=11.8-3

w = 8.8 inch

3 0

3 years ago

$15,074 is invested, part at 14% and the rest at 5%. If the interest earned from the amount invested at 14% exceeds the interest

Flauer [41]

The rate at 14% and 5% are $12, 883 and $2191 respectively.

<h3>How to determine the rate</h3>

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = $15, 074 - y$

Substitute in equation 2

$0. 14(15, 074 - y) = 0. 05y + $1694. 07$

Expand the expression

$2, 110. 36 - 0. 14y = 0.05y + 1694. 07$

Collect like terms

$416. 29 = 0. 19y$

Make 'y' the subject

y = $\frac{416. 29}{0. 19}$

y = $$2, 191$

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = $$15, 074 - 2191$

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16863577

#SPJ1

4 0

2 years ago

In a random sample of 10 residents of the state of Washington, the mean waste recycled per person per day was 2.3 pounds with a

djverab [1.8K]

Answer:

90% confidence interval for the mean waste recycled per person per day for the population of Washington is [2.074 , 2.526].

Step-by-step explanation:

We are given that a a random sample of 10 residents of the state of Washington, the mean waste recycled per person per day was 2.3 pounds with a standard deviation of 0.39 pounds.

Firstly, the pivotal quantity for 90% confidence interval for the mean waste recycled per person per day for the population of Washington is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean waste recycled per person per day = 2.3 pounds

s = sample standard deviation = 0.39 pounds

n = sample of residents = 10

$\mu$ = population mean waste recycled per person per day

<em>Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.833 < $t_9$ < 1.833) = 0.90 {<u>As the critical value of t at 9 degree of</u>

<u>freedom are -1.833 & 1.833 with P = 5%</u>}

P(-1.833 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 1.833) = 0.90

P( $-1.833 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $1.833 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.833 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.833 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

<u>90% confidence interval for</u> $\mu$ = [ $\bar X-1.833 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.833 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $2.3-1.833 \times {\frac{0.39}{\sqrt{10} } }$ , $2.3-1.833 \times {\frac{0.39}{\sqrt{10} } }$ ]

= [2.074 , 2.526]

Therefore, 90% confidence interval for the mean waste recycled per person per day for the population of Washington is [2.074 , 2.526].

8 0

3 years ago

Horatio was gazing into the night from his bedroom window. he was watching for aliens

kotykmax [81]

Answer:

Horatio needs a life,

Step-by-step explanation:

cause who looks out they window for aliens bro needa get out more and shnag some baddies

4 0

2 years ago

Use the rules of significant figures to answer the following questions: 43.5694X22.07

Vsevolod [243]

43.5694 x 22.07
43.6 x 22.1 =963.56
= 963 3sf

7 0

3 years ago