Solve for x (see image)

Answer:

x=2

Step-by-step explanation:

4x−7(2−x)=3x+2

4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)

4x+−14+7x=3x+2

(4x+7x)+(−14)=3x+2(Combine Like Terms)

11x+−14=3x+2

11x−14=3x+2

Step 2: Subtract 3x from both sides.

11x−14−3x=3x+2−3x

8x−14=2

Step 3: Add 14 to both sides.

8x−14+14=2+14

8x=16

Step 4: Divide both sides by 8.

x=2

Answer:

6.6

Step-by-step explanation:

The way to do this is to find the tax as a decimal. Worry about the 100 later.

54 * x = 3.56

Divide by 54

x = 3.56/54

x = .06593

Now use the 100

0.06592 * 100 = 6.593

But you want it rounded to the 1/10

So you should get 6.6 %

[tex]\huge\boxed{\boxed{\bold{10\ \bftext{minutes}}}}[/tex]

[tex]\hrulefill[/tex]

First, let's change both of these times into just minutes. (We know that one hour is sixty minutes.)

[tex]\text{First time: } 1*60+25=60+25=85[/tex]

[tex]\text{Second time: } 1*60+\frac{1}{4}*60=60+15=75[/tex]

Now, just subtract:

[tex]85-75=\large\boxed{10}[/tex]

Answer:

can u answer my question plz

Step-by-step explanation: A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile. The height of the tile is 2 in. The length of the other side of the tile is 3 in. What is the area of the tile?

Answer:

13 glasses

Step-by-step explanation:

Given:

Amount of of lemonade available = 20⅜ cups

Amount of lemonade per guest = 1½ cups

Required:

Number of glasses to be filled

SOLUTION:

Number of glass to be filled = amount of lemonade available ÷ amount of lemonade per guest

= 20⅜ ÷ 1½

Change both mixed fractions to improper fractions

= [tex] \frac{163}{8} [/tex] ÷ [tex] \frac{3}{2} [/tex]

Flip the fraction on your right upside down and change the division to multiplication

[tex] = \frac{163}{8} * \frac{2}{3} [/tex]

[tex] = \frac{163*2}{8*3} [/tex]

[tex] = \frac{163*1}{4*3} [/tex]

[tex] = \frac{163}{12} = 13.58 [/tex]

Number of glasses that would be filled is roughly 13 glasses.

1.) (-18, -20) (18, 16)

m= 1

2.) (-7, 14) (-11, 4)

m= 5/2

3.) (-5, -4) (3, 9)

m= 13/8

4.) (13, -8) (-9, -1)

m= -7/22

Answer: A

Step-by-step explanation:

This picture is very blurry, but the line appears to be a solid line. Since it is a solid line, it tells us that the inequality is ≤ or ≥. We can eliminate C and D. Now, the difference between A and B is the shading. Since the shading is showing that the numbers are increasing, we know that the inequality is ≥. Therefore, A is the correct answer.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Number of white balls = 5

Number of red balls = 4

Number if blue balls = 3

Probability = required outcome / Total possible outcomes

Total possible outcomes (Total number of balls) = 5 + 4 + 3 = 12

a. What is the probability that exactly two of the balls are white?

(White, white, not white) or (not white, white, white) or (white, not white, white)

Assume balls were picked without replacement ;

P(white, white, not white) = (5/12 × 4/11 × 7/10) = 0.1060606

P(not white, white, white) = (7/12 × 5/11 × 4/10) = 0.1060606

P(white, not white, white) = (5/12 × 7/11 × 4/10) = 0.1060606

P(exactly 2 white balls) = 3×(0.1060606) = 0.3181818

b. What is the probability that one ball of each color is selected ?

(White, red, blue) or (red, white, blue) or (red, blue, white) or (blue, red, white), (white, blue, red), (blue, white, red)

P(white, red, blue) = (5/12 * 4/11 * 3/10) = 0.0454545

(0.0454545 × 3) = 0.272727

c. What is the probability that all three of the selected balls have the same color ?

P(white, white, white) or P(blue, blue, blue) or P(red, red, red)

P(white, white, white) = (5/12 * 4/11 * 3/10) = 0.0454545

P(blue, blue, blue) = (3/12 * 2/11 * 1/10) = 0.0045454

P(red, red, red) = (4/12 * 3/11 * 2/10) = 0.0181818

(0.0454545 + 0.0045454 + 0.0181818) = 0.0681817

Answer:

Positive

Step-by-step explanation:

Two negatives make a positive.

Answer:

x =68

Step-by-step explanation:

The sum of the angles of a triangle are 180

37+75+x = 180

Combine like terms

112+x = 180

Subtract 112 from each side

112+x-112=180-112

x =68

Answer:

13(n-20)=322

Step-by-step explanation:

13 times n-20 equals 322

Answer:

-2x-4

Step-by-step explanation:

Just simplify

==================================================

Explanation:

Draw out a number line. Plot -7 and 12 on the number line. Draw in the tickmarks between them. You should find the distance from -7 to 12 is 19 units since you need to go 19 spaces from either -7 to 12, or vice versa.

You can use subtraction to get

-7-12 = -19

or

12-(-7) = 12+7 = 19

The final result is made positive since negative distance does not make sense.

So you'd have |-7-12| = |-19| = 19 or |12-(-7)| = |19| = 19.

All of this only works because the two y coordinates are the same, which makes a horizontal line through the two given points.

Answer:

-2 4/7

Step-by-step explanation:

−3 2/7 − (−5/7)

Subtracting a negative is like adding

−3 2/7 + (5/7)

Since the signs are difference we subtract and take the sign of the larger number

3 2/7 - 5/7

Borrow from the whole number

2+ 7/7 + 2/7 - 5/7

2 9/7 - 5/7

2 4/7

The sign of the larger number is negative so add the negative sign

- 2 4/7

Answer:

- 2 4/7

Step-by-step explanation:

k12

Compute [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] using implicit differentiation:

[tex]x^2-(xy)^{1/2}=2y^2+3x[/tex]

[tex]\dfrac{\mathrm d(x^2)}{\mathrm dx}-\dfrac{\mathrm d(xy)^{1/2}}{\mathrm dx}=\dfrac{\mathrm d(2y^2)}{\mathrm dx}+\dfrac{\mathrm d(3x)}{\mathrm dx}[/tex]

[tex]2x-\dfrac1{2(xy)^{1/2}}\left(\dfrac{\mathrm dx}{\mathrm dx}y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-\dfrac1{2(xy)^{1/2}}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-\dfrac12\left(\dfrac yx\right)^{1/2}-\dfrac12\left(\dfrac xy\right)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]

[tex]2x-3-\dfrac12\left(\dfrac yx\right)^{1/2}=\left(4y+\dfrac12\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]

[tex]4x-6-\left(\dfrac yx\right)^{1/2}=\left(8y+\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x-6-\left(\frac yx\right)^{1/2}}{8y+\left(\frac xy\right)^{1/2}}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x(xy)^{1/2}-6(xy)^{1/2}-y}{8y(xy)^{1/2}+x}[/tex]

Plug in x = 4 and y = 1 to find that the tangent line's slope is 19/20.

Answer:

The answer is 235.6

Step-by-step explanation:

You plug in the numbers to the equation.

Answer:

Step-by-step explanation:

Step-by-step explanation:

If 2 triangles are similar then the ratio of any 2 sides of one triangles will be equal to the ratio of any 2 sides of the another triangle.

So,

[tex] \frac{30}{8} = \frac{20}{y} [/tex]

Cross-multiplying the denominators gives,

[tex]30y = 160[/tex]

[tex] = > y = \frac{160}{30} = \frac{16}{3} [/tex]

Answer:

2 m/s

Step-by-step explanation:

Notice that the slope of the time period from 0s to 20s is linear.  This means we can simply look at the distance traveled over the amount of time.  So the distance and time both start at 0.  At 20s, the distance is 40m.

So we can say the following to find the slope:

(40m - 0m) / (20s - 0s) == 40m / 20s == 2 m/s

Hence, the average speed between 0s and 20s is 2m/s.

Cheers

B is the 3/4 = .75 and 5/8 = .625

Answer:

180 girls

Step-by-step explanation:

298-28=270

270 divided by 3 = 90

90+90 = 180

so there are 180 girls and only 90 boys

Answer:

(-1/64)= (-1/4)^3

Explanation:

[tex]\sqrt[3]{-\frac{1}{64} }=-\frac{1}{4}[/tex]

[tex](-\frac{1}{4})^3=-\frac{1}{64}[/tex]

Answer:

where

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attachment

bruv?

Answer:

We wouldn't know because we have no information on the marbles.

Step-by-step explanation:

Answer:

Equal 15

Step-by-step explanation:

2+588(357)

4-136

Step-by-step explanation:

Actually 0.0605 is already in standard form and it can be expressed in scientific notations as given below.

[tex] \huge0.0605 = 6.05 \times {10}^{ - 2} \\ [/tex]

Answer:

Necesitamos agregar 40 libras del café La Finca

Step-by-step explanation:

Sea x el número de libras de café de La Finca a mezclar.

Entonces, la cantidad total de libras que obtendremos en la mezcla será (x + 80) libras.

Ahora trabajemos con los precios; Tenemos x libras de La Finca a $ 5 por libra, con 80 libras de café a $ 2 por libra para dar una mezcla de (x + 80) a $ 3 Así, sumaremos el precio de La Finca más la otra variante para llegar al costo de la nueva mezcla.

Matemáticamente;

5 (x) + 2 (80) = 3 (x + 80)

5x + 160 = 3x + 240

5x -3x = 240-160

2x = 80

x = 80/2 x = 40

Answer:

Is Calculated by dividing the present value of future cash flows that will be generated by the project by the project

Step-by-step explanation:

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