240 grams of a 25% alcohol solution was mixed with 160 grams of a 40% alcohol solution. What is the percentage of alcohol in the new solution?

Answer:

First one

Step-by-step explanation:

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

[tex]\overline{HF}[/tex]  bisect ∠ EHG.i.e

∴ ∠EHF ≅ ∠ GHF

[tex]\overline{EH} \cong \overline{GH}[/tex]  

To Prove:

[tex]\overline{EF} \cong \overline{GF}[/tex]  

Proof:

In  Δ EHF and Δ GHF

    EH ≅ GH     ………............{Given}

∠ EHF ≅ ∠ GHF     …………..{EF bisect ∠ EHG as given above}

     HF ≅ HF     ………............{Reflexive Property}

Δ EHF ≅ Δ GHF …................{ By Side-Angle-Side test}

∴ EF ≅ GF........{corresponding parts of congruent triangles (c.p.c.t).}

[tex]\overline{EF} \cong \overline{GF}[/tex]  ....... PROVED

The number 64 can be expressed in the form of base powers as 64=8^2, 64=4^3, and 64=2^6.

The number 64 can be expressed as powers of different bases in several ways. The most common notations are as follows: 64 = 8^2, which means that 8 multiplied by itself results in 64. 64 = 4^3, which means 4 multiplied by itself three times equals to 64, and finally, 64 = 2^6, where 2 is multiplied by itself six times to produce 64. Each of these forms express the number 64 in a different base.

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Answer:

The value of r=[tex]\frac{-106}{47}[/tex]

The value of x=[tex]\frac{83}{32}[/tex]

Step-by-step explanation:

Given that,

A) [tex]\frac{2r-2}{7r+10} = \frac{9}{8}[/tex]

Now,

[tex]\frac{2r-2}{7r+10} = \frac{9}{8}[/tex]

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r=[tex]\frac{-106}{47}[/tex]

B) [tex]\frac{x+4}{9} = \frac{3(x-2)-1}{5}[/tex]

Now,

[tex]\frac{x+4}{9} = \frac{3(x-2)-1}{5}[/tex]

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x=[tex]\frac{83}{32}[/tex]

Answer:

The two pyramids have the same volume.

Step-by-step explanation:

What determines the volume of a pyramid is the Base Area, and its height. Since in these two figures, both bases measure the same (congruent) and their respective heights are equal. Then when we compare the volumes of these two solids, the triangular and the Hexagonal pyramid have the same volume, as it follows:

Then:

[tex]\\V=\frac{1}{3}*B*h\\V_{\bigtriangleup \: Triangular\: base}=\frac{1}{3}*15*5\Rightarrow V_{\bigtriangleup \: pyramid}=15 \:in^{3}\\V_{\bigtriangleup \: hexagonal \:base}=\frac{1}{3}*15*5\Rightarrow V_{\bigtriangleup \: hexagonal \:base}=15 \:in^{3}[/tex]

However, each surface area measure differently.

Answer:

32 Dollars

Step-by-step explanation:

160 divided by 5 equals 32

This would be C. 60$

This is because if she got the bag for 50% off, 30 divided by 2 is 15$, 45 divided by 2 is 22.5, 60 divided by 2 is 30$ so option C. Would be your answer.

Answer:

Step-by-step explanation:

[tex](4x+4)(ax-1)-x^2+4\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(4x)(ax)+(4x)(-1)+(4)(ax)+(4)(-1)-x^2+4\\\\=4ax^2-4x+4ax-4-x^2+4\qquad\text{combine like terms}\\\\=(4a-1)x^2+(-4+4a)x+(-4+4)\\\\=(4a-1)x^2+(4a-4)x\\\\\text{Given expression is equvalent to}\ bx.[/tex]

[tex](4a-1)x^2+(4a-4)x=bx\\\\(4a-1)x^2+(4a-4)x=0x^2+bx\\\\\text{Therefore}\\\\4a-1=0\ \text{and}\ 4a-4=b\\\\4a-1=0\qquad\text{add 1 to both sides}\\\\4a=1\qquad\text{divide both sides by 4}\\\\a=\dfrac{1}{4}\\\\\text{Substitute to the second equation and solve for}\ b:\\\\4\left(\dfrac{1}{4}\right)-4=b\\\\1-4=b\\\\-3=b\to b=-3[/tex]

Answer:

The answer is x = -17/6.

Step-by-step explanation:

Given:

5 1/3 + x = 2 1/2 . Using least common denominator.

Now, to solve the equation:

[tex]5\frac{1}{3}+x=2\frac{1}{2}[/tex]

[tex]=\frac{16}{3} +x=\frac{5}{2}[/tex]

Subtracting both sides from 16/3 we get:

[tex]x=\frac{5}{2}- \frac{16}{3}[/tex]

Now, the least common denominator of 2 and 3 is 6.

So, we using this we calculate:

[tex]x=\frac{5\times 3-16\times 2}{6}[/tex]

[tex]x=\frac{15-32}{6}[/tex]

[tex]x=\frac{-17}{6}[/tex]

Therefore, the answer is x = -17/6.

Answer:

$87

Step-by-step explanation:

to find discounted price, you multiply the original price by the decimal equivalent of the discount. so,

[tex]145 \times .40 = 58[/tex]

so that's 40% of 145 but now you gotta take the 40% off the original price so,

[tex]145 - 58 = 87[/tex]

There are $87 the weed eater cost during the blowout sale.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

This weekend the hardware store is having a blowout sale, where everything is discounted 40%.

And, A weed eater originally sells for $145.

Now, The discounted price is,

⇒ 40% of 145

⇒ 40/100 × 145

⇒ $58

Thus, The weed eater cost during the blowout sale = $145 - $58

                                                                               = $87

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Answer:

If its written as the fourth root of (81^3) the answer is 27.

Answer:

9 bathrooms

Step-by-step explanation:

9 is their greatest common factor.

give each bathroom 1 bar of soap and 2 toilet paper rolls

Step-by-step explanation:

Since has 9 bars of some and 18 rolls of paper then he can fully stock nine because there are more rolls then bars

Answer:

Please give brainliest :((

1. r = 0

2. x = 0

3. v = -1

4. a = 1

Step-by-step explanation:

1. -18 + 36r = -18 + 4r

-18 + 32r = -18

32r = 0

r = 0

2. -8x - 14 = -14 - 28x + 4x

-8x - 14 = -14 - 24x

16x -14 = -14

16x = 0

x = 0

3. 5 -8v - 5 = -4 - 12v

-8v = -4 - 12v

4v = -4

v = -1

4. 3a - 18 = -5a - 7 - 3a

3a - 18 = -8a - 7

11a = 11

a = 1

Answer:20000

Step-by-step explanation:

30+1000+4000

Answer:

Her mouth

right ?!

that was not hilarious but okey

Answer:

She forgot to shut her dum dum bubble gum chromosome flip phone no home smash mouth up.

Step-by-step explanation:

Answer:

6/60 is 1/10

Step-by-step explanation:

i hour is 6o min so 6/60 is 1/10 that is the fraction of the hour

or these would work too:

10% .1 or 1/10

Answer: 0.100

Step-by-step explanation:

So, you start by 1, 6 divided by 0.1 is 60.

I got to one hundred. 60 times 0.100 is 6.

Therefor your answer is 0.100

The statement H(30) = H(25) + 5 means that when Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old.

The function H(t) tells us Amelia's height in centimeters when she was t months old. So H(30) tells us Amelia's height when she was 30 months old, and H(25) tells us Amelia's height when she was 25 months old.

The equation H(30) = H(25) + 5 tells us that these two values are equal, which means that Amelia was 5 centimeters taller when she was 30 months old than when she was 25 months old.

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Answer:

25 can.                            

Step-by-step explanation:

Here is the complete question: You are making juice from concentrate. The directions on the packaging say to mix  1 can of juice with 3 cans of water to make orange juice. How many 12 fluid ounces cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

Given: Ratio to make juice with concentrate:water is 1:3.

As required we need to prepare 200 6 ounce serving of Orange juice.

∴ [tex]200\times 6= 1200\ ounce[/tex]

Let there be x ounce of concentrate and 3x ounce of water to make 1200 ounce of orange juice.

Now, [tex]x+3x= 1200[/tex]

∴ x= 300 ounce

Next, lets find out how many cans of 12 ounce is required.

[tex]\frac{300}{12} = 25\ cans[/tex]

∴ 25 cans is required to make 1200 ounce of orange juice.

Answer:

It is the same answer.

Step-by-step explanation:

579.8 X 0.001= 0.5798

579.8/10^3 (or 1000)=0.5798

If you use a calculator it's easy.

Hope this helped. :D

Following are the calculation to the given expression:

Given:

[tex]\bold{579.8 \times 0.001= 579.8 \div 10^3}[/tex]

To find:

Prove=?

Solution:

[tex]\to \bold{579.8 \times 0.001= 579.8 \div 10^3}[/tex]

Solve L.H.S part:

[tex]\to \bold{579.8 \times 0.001}\\\\\to \bold{0.5798}[/tex]

Solve R.H.S part:

[tex]\to \bold{ 579.8 \div 10^3}\\\\\to \bold{ \frac{579.8}{ 10^3}}\\\\\to \bold{ \frac{579.8}{ 1000}}\\\\\to \bold{ 0.5798}\\[/tex]

Therefore, the L.H.S= R.H.S, so, the answer is the same.

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Answer:

The actual speed of the car is either 57 mph or 63 mph

Step-by-step explanation:

Given as :

The measured speed o the car = 60 mph

The percentage error in speedometer = 5 %

Let The actual speed of car = x mph

Now, percentage error = [tex]\dfrac{\textrm actual value - \textrm measured value}{\textrm measured value}[/tex] × 100

So, [tex]\frac{5}{100}[/tex] = [tex]\frac{x - 60}{60}[/tex]

or,  [tex]\frac{5}{100}[/tex] × 60 = x - 60

Or, 3 = x - 60

∴  x = 63 mph

Hence The actual speed of the car is either 57 mph or 63 mph . Answer

The correct statement describing the actual speed of the car is: The actual speed of the car is either 57 mph or 63 mph.

To understand why this is the correct answer, let's calculate the range of possible actual speeds given the percent error of the speedometer.

The speedometer shows a speed of 60 mph with a percent error of 5%. The percent error formula is given by:

[tex]\[ \text{Percent Error} = \left( \frac{\text{Error}}{\text{True Value}} \right) \times 100\% \][/tex]

Here, the true value is the actual speed of the car, and the error is the difference between the measured speed (60 mph) and the true value. We can rearrange the formula to solve for the true value:

[tex]\[ \text{True Value} = \frac{\text{Measured Value}}{1 \pm \text{Percent Error}} \][/tex]

Since the percent error is 5%, we have:

[tex]\[ \text{True Value} = \frac{60 \text{ mph}}{1 \pm 0.05} \][/tex]

Now, we calculate the true value for both the lower and upper bounds of the speedometer reading:

For the lower bound (actual speed could be less than the measured speed):

[tex]\[ \text{True Value}_{\text{lower}} = \frac{60 \text{ mph}}{1 + 0.05} = \frac{60 \text{ mph}}{1.05} \approx 57.14 \text{ mph} \][/tex]

For the upper bound (actual speed could be more than the measured speed):

[tex]\[ \text{True Value}_{\text{upper}} = \frac{60 \text{ mph}}{1 - 0.05} = \frac{60 \text{ mph}}{0.95} \approx 63.16 \text{ mph} \][/tex]

Rounding these values to the nearest whole number, we get:

[tex]\[ \text{True Value}_{\text{lower}} \approx 57 \text{ mph} \][/tex]

[tex]\[ \text{True Value}_{\text{upper}} \approx 63 \text{ mph} \][/tex]

Therefore, the actual speed of the car could be either 57 mph or 63 mph, which corresponds to the third option provided in the question.

Answer:

Add 7 black beads

Step-by-step explanation:

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)     b : 3

                                  Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3     Both sides divisible by 3; reduce ratio

= 3 : 1        Correct ratio

There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore we need to add 7 black beads.

To make the ratio of black to white beads 3:1, you need to add 1 more black bead.

To make the ratio of black to white beads 3:1, we need to determine how many more black beads need to be added. Currently, the ratio is 2:3, which means for every 2 black beads, there are 3 white beads. Let's say we have 2x black beads and 3x white beads. To make the ratio 3:1, we need to have 3 black beads for every 1 white bead. This means we need to add x more black beads. Setting up the equation 2x + x = 3(3x), we can solve for x to find out how many more black beads are needed.

Simplifying the equation, we get 2x + x = 9x. Combining like terms, we have 3x = 9x. Subtracting 3x from both sides, we get 0 = 6x. Dividing both sides by 6, we find that x = 0. Since we need an integer value for x, it means we need to add 1 more black bead to make the ratio 3:1.

Therefore, you need to add 1 more black bead to make the ratio of black to white beads 3:1.

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Answer: 27

Step-by-step explanation:

2/3x-7=11

2/3x=18

1/3x=9

x=27

Answer:

59

Step-by-step explanation:

gabrielle is 6 years older than mikhail and gabrielle's age is 64 soooo therefore 64 minus 6 is 59yo

Final answer:

To find the value of n² + 5 when n = 3, you substitute 3 for n in the expression to get 3² + 5, which simplifies to 9 + 5, resulting in a final value of 14.

Explanation:

To evaluate the expression n² + 5 when n = 3, we simply substitute the value of n into the expression
1. Substitute 3 for n: (3)² + 5
2. Calculate the square of 3: 3² = 9
3. Add 5 to the result: 9 + 5 = 14
Therefore, the evaluated expression n² + 5 when n = 3 is equal to 14.

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Solve for the y-intercept.

9 = 2(7) + b

9 = 14 + b

9 - 14 = 14 + b - 14

-5 = b

y = 2x - 5

______

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Final answer:

The equation of the line with a slope of 2 that passes through the point (7,9) in slope-intercept form is y = 2x - 5, where 2 is the slope and -5 is the y-intercept.

Explanation:

To find the equation of a line with a slope of 2 that passes through the point (7,9), we can use the point-slope form of a line equation, which is:

[tex]y - y_1 = m(x - x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is the point the line passes through. Plugging in our values we get: y - 9 = 2(x - 7).

To convert this to slope-intercept form (y = mx + b), expand the right side to get y - 9 = 2x - 14 and then add 9 to both sides to isolate y, resulting in y = 2x - 5. Here, the m value is 2 (the slope) and the b value is -5 (the y-intercept).

Answer:10times

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

So we know the ratio of left-handed men to men is 3:25. We also know that percent is out of one hundred, so we can do (ratios are essentially fractions) 3/25*4/4+ 12/100. Converting 12/100 to a percent should be simple and you get an answer of 12%

Please let me know if this was correct

Answer:

The manufacturer should decrease the level of unskilled labor by 2 for the total output to stay the same.

Step-by-step explanation:

Q(x,y) = 60 x^⅓ y^⅔

Take the partial derivatives with respect to x and y.

∂Q/∂x = 20 x^-⅔ y^⅔

∂Q/∂y = 40 x^⅓ y^-⅓

So the total differential is:

dQ = ∂Q/∂x dx + ∂Q/∂y dy

dQ = 20 x^-⅔ y^⅔ dx + 40 x^⅓ y^-⅓ dy

If dQ = 0:

0 = 20 x^-⅔ y^⅔ dx + 40 x^⅓ y^-⅓ dy

If x = 10, y = 40, and dx = 1:

0 = 20 (10)^-⅔ (40)^⅔ (1) + 40 (10)^⅓ (40)^-⅓ dy

0 = 20 (4)^⅔ + 40 (1/4)^⅓ dy

-20 (4)^⅔ = 40 (1/4)^⅓ dy

-20 (4)^⅔ (1/4)^⅔ = 40 (1/4)^⅓ (1/4)^⅔ dy

-20 = 40 (1/4) dy

-20 = 10 dy

dy = -2

The manufacturer should decrease the level of unskilled labor by 2 for the total output to stay the same.

To maintain the same level of production when adding one skilled worker, we use calculus to find the necessary change in the number of unskilled workers based on the manufacturer's production function.

The question deals with partial derivatives and their application in the context of production functions. Using calculus, specifically the concept of partial derivatives, we can estimate the change in the number of unskilled workers required to maintain the same level of production when there is an increase in the number of skilled workers. Given the manufacturer's production function Q(x, y) = 60x1/3y2/3, where x is the number of skilled workers and y is the number of unskilled workers, we first calculate the partial derivative of Q with respect to x, Qx, and then find the partial derivative with respect to y, Qy. We then use these derivatives to form an equation that represents the change in y needed to offset the change in x. With x initially at 10 and increasing by 1, and y initially at 40, we can solve for the change in y that keeps the total output constant.