You need a 55% alcohol solution. On hand, you have a 50 mL of a 25% alcohol mixture. You also have 60% alcohol mixture. How much of the 60% mixture will you need to add to obtain the desired solution?

Answer:

E

Step-by-step explanation:

5 is to ST    as   ST is to (5+7)

5/ST = ST/12    (ST)^2 = 60    ST = sqrt (60) = 2 sqrt 15

Answer:

That corresponds to a width of 3.5 feet, so a yard of paper covers an area of 3 x 3.5 = 10.5 square feet

Answer:

25 . 71 mph

Step-by-step explanation:

45 miles in 1.75 hr

45 miles / 1.75 hr = 25.71 mph

Answer:

D) -9

Step-by-step explanation:

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

-> 2x - 6 + 1 = 3x + 4

-> 2x - 5 = 3x + 4

-> 2x - 3x = 4 + 5

-> -x = 9

-> x = - 9

Answer:

D: (x,y) → (x +1, y - 8)

Step-by-step explanation:

The red shape, KHIJ, is similar to the blue shape, KHIJ.

Looking at the shapes from the points K, Blue K is forward on the x-axis by 1, Hence x + 1.

Lokkin at the same points, but on y-axis this time. Red K is up 2 and Blue K is down 6. 2 + 6 = 8. Since the blue shape is down, make the 8 into -8. Now you have y -8.

Answer:

SOLUTION:-

[tex]x + 8\% \: of \: x = 10800[/tex]

[tex]\displaystyle{x + \frac{8x}{100} = 10800 }[/tex]

[tex]\displaystyle{ \frac{100x + 8x}{100} = 10800}[/tex]

[tex]\displaystyle{ \frac{108x}{100} = 10800}[/tex]

[tex]108x = 10800 \times 100[/tex]

[tex]108x = 1080000[/tex]

[tex]x = \displaystyle{ \frac{1080000}{108} }[/tex]

[tex]x = 10000[/tex]

Therefore,required last year population=10000

Answer:

The Correct Answer is 10,000.

Step-by-step explanation:

Becuase The Question itself is providing us that this year it increased by 8%. Then the said that the total population for this year is 10,800. So, that tells us that the 8% equal 800. 10,000+800=10,800.

10,800-800=10,000

The correct answer is 10,000.

Hope this helps you!!

Don't forget to Mark me Brainleast if my answer is correct!!

The best prediction for the number of students at Bowman High School that come from Richardson Middle School is; 175

We are given;

Total number of students = 700

Number of students in Mr. Henry's gym class = 28

Number of students in Mr. Henry's gym from Richardson Middle School = 4

Thus, to find the best prediction for the number of students at Bowman High School that come from Richardson Middle School is simply;

Number of students  = 700/4

Number of students = 175

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Mira would pay $187.2

"Tax rate = (Tax amount / Price before tax) × 100% "

"Tax amount = Final price - Price before tax"

For given question,

Mira buys a telescope that costs $180.

⇒ Price before tax = $180

sales tax = 4%

Let 'm' be the tax amount.

Using the formula of tax rate,

⇒ Tax rate = (Tax amount ÷ Price before tax) × 100%

⇒ 4% = ([tex]\frac{m}{180}[/tex]) × 100%

⇒ 0.04 × 180 = m

⇒ m = 7.2

Using the formula for the tax amount,

⇒ Tax amount = Final price - Price before tax

⇒  Final price = Tax amount + Price before tax

⇒  Final price = 7.2 + 180

⇒  Final price = $187.2

Therefore, Mira would pay $187.2

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Answer:

Because there are many different ways to teach introductory astronomy, we have made the text as flexible as we could. Math examples are shown in separate sections throughout, so that you can leave out the math or require it as you deem best. Each section of a chapter treats a different aspect of the topic being covered; a number of sections could be omitted in shorter overview courses and can be included where you need more depth. And, as we have already discussed, you can customize the book in a variety of ways that have never been possible in traditional textbooks.

Step-by-step explanation:

This book is written to help students understand the big picture rather than get lost in random factoids to memorize. The language is accessible and inviting. Helpful diagrams and summary tables review and encapsulate the ideas being covered. Each chapter contains interactive group activities you can assign to help students work in teams and pool their knowledge.

[tex]FV = PV (1 - \frac{r}{100})^n\\FV = 175000 (1 - \frac{4}{100})^3\\[/tex]

FV = Rs 154828.8

Answer:

the answer is in the picture

Answer:

Could you send the question properly so I can Help you with the answer

Step-by-step explanation:

Thanks

Answer:

I don't understand the question.

Answer:

46.7%

Step-by-step explanation:

The fraction of youths preferring printedbooks

= 21/(21+24)

= 21/45

= 21 *100 / 45

= 46.67%

The correct answer would be: x = 2y^2

Answer:

its D

Step-by-step explanation:

the answer is 3 and thats cause if you were to multiply 12x75 you get 900, and if 1 gallon of paint covers 400 square feet then you will need 3 gallons to get to 900. so there for the answer is 3

[tex]\huge\mathbb\purple {✒✨ ANSWER ✨⚘}[/tex]

A rectangle is such that its breadth is 2m less than its length. Find the length of the rectangle if the perimeter is 8mP

[tex]ANSWER & SOLUTION[/tex]

Divide both sides by the same factor

[tex]4 \times = 4 \\ \frac{4 \times }{4} = \frac{4}{4} [/tex]

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

16

Step-by-step explanation:

Answer: The length of one side of the square is 10 sq cm.

Step-by-step explanation:  Area of the rectangle = 4 x 25 = 100 sq cm.

Area of a square = s x s, where s is the length of the side of the square.

So, s x s = 100

Or, s^2 = 100

And, s = sqrt(100) = 10

Answer:

33 1/4 or 33.25

Step-by-step explanation:

Answer:

Big bro I can barley read the image but here we go.

Angle B = 51

Angle E = 65?

So to solve if we know angle e is 65 and the angles are identical to eachother then we can say

4y - 3 = 65

4y = 62

y = 15.5

Answer:

$7,390.15

Step-by-step explanation:

A = $7,390.15

A = P + I where

P (principal) = $6,688.00

I (interest) = $702.15

First, convert R as a percent to r as a decimal

r = R/100

r = 2/100

r = 0.02 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 6,688.00(1 + 0.02/6)^(6)(5)

A = 6,688.00(1 + 0.0033333333333333)^(30)

A = $7,390.15

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $6,688.00 at a rate of 2% per year compounded 6 times per year over 5 years is $7,390.15.

Answer:

6/4. Simplified, is 1 2/4

Step-by-step explanation:

Answer:

(70*v^3*u^2)/x

Step-by-step explanation:

(2v^6 * 7u^7 * u^-5 * x * v^-3 * 5 * x^-2)

(2 * 5 * 7) * (v^6 * v^-3) * (u^7 * u^-5) * (x * x^-2)

70 * v^(6 - 3) * u^(7 - 5) * x^(1 - 2)

70 * v^3 * u^2 / x

Answer:

C.

Step-by-step explanation:

1) domain is: x≥7; range f(x)≥9.

2) answer C

Answer: $400 was invested

Step-by-step explanation: Based on the scenario in the question, our calculation goes thus:0.11x + 0.06(8000 - x) = 5000.11x + 480 - 0.06x = 5000.11x - 0.06x = 500 - 4800.05x = 20x = 20/0.05x = 400

$400 was invested at 11% Also, 8000 - 400 = 7600 invested at 6%

BRAINLIEST would make my day :D

a.

Circle W centre is (-3,0) - (0,-2)* = (-3,-2)

*note that the centre of the circle W is going down by 2 units this only affects the y axis hence the substraction

A dilation of a factor of 2 does not change the centre of the circle rather the radius ( the size of the circle decreases and hence the radius)

So now the radius becomes 8 UNITS/2 = 4UNITS

From the statements given,neither is correct

Answer:

its 58

Step-by-step explanation:

The measure of angle 2 is 58 degrees

The figure that completes the question is added as an attachment

The given parameters are:

Both angles add up to 90 degrees.

So, we have:

3x - 4 + 4x + 10 = 90

Evaluate the like terms

7x = 84

Divide both sides by 7

x =12

Substitute x =12 in Angle 2 = 4x + 10

Angle 2 = 4 * 12 + 10

Evaluate the expression

Angle 2 = 58

Hence, the measure of angle 2 is 58 degrees

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Answer:

sine=opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

a: 42

b: 135 km/h

Step-by-step explanation:

For part A, you are given the adjacent and opposite side lengths so you need to use the tangent formula. On the calculator, it is tan^-1 (90/100)

For part B, I used the pythagorean theorem and did 100^2+90^2= 18100 and then took the square root of that to get 135.