A gray crayon is made with 5 mL of black wax for every 6 mL of white wax

Which of the following wax mixtures will create the same shade of gray?

choose 2 answers:

A 10 mL of black wax mixed with 24 mL of white wax
B 15 mL of black wax mixed with 18 mL of white wax
C 35 mL, of black wax mixed with 42 mL of white wax
D 20 mL of black wax mixed with 26 mL of white wax
E 45 mL of black wax mixed with 48 mL of white wax

Answer:

D

Step-by-step explanation:

He needs to buy 6 items

6 bags of chips

6*2.25= $13.5 so not possible

6 candy bars

6*1.5= $9 so possible

These statements knock out B and C because the dark gray needs to be able to include 6 on the y-axis to show that he could buy 6 candy bars leaving D and A. However, in D it shows that he could actually buy more than 6 candy bars and buy 8 which leaves him with 0 dollars left

8*1.5=$12

Answer:

Step-by-step explanation:

Answer:  Choice A

Explanation:

Notice how the numerators (2,4,6,8) are multiples of 2. So we can say that they are of the form 2k, where k is a whole number from 1 to 4.

If k = 1, then 2k = 2*1 = 2

If k = 2, then 2k = 2*2 = 4

and so on until we reach k = 4 and 2k = 8.

Similarly, the denominators are also multiples of 2. We shift things 1 spot to the right. So we start with 4 instead of 2. So we need to add on 2

If k = 1, then 2k+2 = 2*1+2 = 4

If k = 2, then 2k+2 = 2*2+2 = 6

and so on.

[tex]\displaystyle \sum_{k=1}^{4}\frac{2k}{2k+2} = \frac{2}{4}+\frac{4}{6}+\frac{6}{8}+\frac{8}{10}[/tex]

Answer:  Choice A

x = 19, RZ = 49, and RT = 98

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

How to get that answer:

Z is the midpoint of RT. This midpoint splits segment RT into two equal pieces RZ and ZT

RZ = ZT

4x-27 = 49

4x = 49+27

4x = 76

x = 76/4

x = 19

So far, we can see that the answer is either choice A or choice D.

------------------

If x = 19, then

RZ = 4x-27

RZ = 4*19-27

RZ = 76 - 27

RZ = 49

Which points us to Choice A as the final answer

-------------------

We could skip the second section entirely because we initially set RZ equal to ZT, and ZT was 49. However, I showed that section to help confirm that we had the correct x value.

Also,

RT = RZ + ZT

RT = 49 + 49

RT = 98

Answer:

5:05

6

10

Step-by-step explanation:

3:30 + 1 hour = 4:30

4:30 + 35 mins = 5:05 pm

5 days per 1 gallon, 30 days for :

30/5 = 6

500/50 = 10

Answer:

a. 35 Kilometres.

b. 60 litres.

c. 8150 sweets.

Step-by-step explanation:

Given the following data;

a. To find how many kilometres he traveled in one day;

770 km = 22 days

X km = 1 day

Cross-multiplying, we have;

22X = 770

X = 770/22

X = 35 Kilometres.

b. To find how many litres he would need to go 840 km;

1 litre = 14 kilometres

X litres = 840

Cross-multiplying, we have;

14X = 840

X = 840/14

X = 60 litres.

c. To find how many sweets are there in his car;

Number of sweet box, Ns = 326 boxes

Number of sweets in each box, Sw = 25 sweets

Total number of sweets = Ns * Sw

Total number of sweets = 326 * 25

Total number of sweets = 8150 sweets.

Step-by-step explanation:

8 . 9 + 3x = 6

3x =6 - 9

3x = -3

x =. -1

9 . 9 (x - 1) - 4( 7 - x ) ≤ 10x - ( 2x +1 ) -6

9x -9 - 28 - 4x ≤ 10x - 2x + 1 - 6

C. L. T.

9x - 4x - 10x + 2x ≤ 1 - 6 + 28 + 9

- 3x ≥ 32

x ≥ - 32/3

x ≥ 10⅔

10 b/ 22 =. 16/ 88

cross multiply

88b = 352

b = 4

11. x- 10 / x+2 = 1/5

cross multiply

5x - 50 = x + 2

4x = 52

x = 13

Answer:

Step-by-step explanation:

Answer:

5 inches

Step-by-step explanation:

To find the area of a square the formula is A = bh which with a square is essentially one side squared. We know this because every side of a square is the same. We also know that 5 squared is 25 meaning the answer is 5 inches(You could also use the formula A = bh : A = 5 x 5 : A = 25).

Answer:

The side is 5 square inches.

Step-by-step explanation:

Area of square formula:

A = s x s or [tex]s^2[/tex]

To figure out the sides, we use this formula:

A = 25 ÷ s = s

But to figure out s = side, think of factors of 25 like this:

25: 1,5,25

Now let's plug in the factors of 25 to figure out the missing side length.

A = 25 ÷ 1 = 25

This is not true.

A = 25 ÷ 5 = 5

This is true.

A = 25 ÷ 25 = 1

This is not true.

So our answer is 5 square inches on each side.

Answer:

gradient = - [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

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

Answer:

9(5+8)

Step-by-step explanation:

Answer:

y = 5/4x-15

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 5/4x+b

Substitute the point into the equation and solve for b

-5 = 5/4(8)+b

-5 = 10+b

Subtract 10 from each side

-5-10 = b

-15 = b

y = 5/4x-15

Step-by-step explanation:

y-y'=m(x-x')

y-(-5)=5/4(x-8)

y+5=5x/4-10

4(y+5)=4(5x/4)-10(4)

4y+20=5x-40

4y-5x=-40-20

4y-5x=-60

5x-4y-60=0

y=5x/4-15

Answer:

Slope=[tex]\frac{11}{-4}[/tex]

Step-by-step explanation:

Answer:

22+g=65

Step-by-step explanation:

take the 22 add (sum) to g (the variable) and have them = 65

Answer:

x ≥ -30

Step-by-step explanation:

The equation is 3 - x / 2 ≤ 18.

First, subtract 3 on both sides:

- x / 2 ≤ 15.

Multiply by -2 on both sides and swap the less than or equal to sign:

x ≥ -30

Hope this helps!

Answer:

262.44 [tex]m^{3}[/tex]

Step-by-step explanation:

Volume of cylinder = [tex]\pi r^{2}[/tex]h  

Volume of cube = [tex]s^{3}[/tex]

Cylinder  

[tex](\pi )(2.5)^{2}[/tex](7) = 137.44468

Cube

[tex]5^{3}[/tex] = 125

125 + 137.44 = 262.44

Answer: P (3 or odd) = 1/2

Step-by-step explanation:

Concept:  

Here, we need to know the idea of probability.  

Probability is a measure of the likelihood of an event to occur.  

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

The numbers on a dice: 1, 2, 3, 4, 5, 6

Total numbers = 6

Number of 3 = 1

Number of Odd = 3

[Since 3 is one of the odd numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]

P (3 or odd) = Favorable / Total (refer to the attachment)

P (3 or odd) = [(1 + 3) - 1] / 6

P (3 or odd) = (4 - 1) / 6

P (3 or odd) = 3 / 6

P (3 or odd) = 1/2

Hope this helps!! :)

Please let me know if you have any questions

I think its B because it is always B

Answer:

The inverse is 1/4x

Step-by-step explanation:

y = 4x

To find the inverse, exchange x and y

x = 4y

Solve for y

1/4 x = 4y/4

1/4x = y

The inverse is 1/4x = y

Answer:

y = x/4

Step-by-step explanation:

y = 4x

x = 4y

y = x/4

Answer:

Number of cookies each friend gets = 14 cookies

Step-by-step explanation:

Total cookies available for the party = 98

Number of friends invited = 7

how many did each freind get

Number of cookies each friend gets = Total cookies available for the party / Number of friends invited

= 98/7

= 14 cookies

Number of cookies each friend gets = 14 cookies

Answer:

B) Rays AB and AE

Step-by-step explanation:

Though A-F, A-D, and A-C all meet at one point on line B-E, point A, they aren't a part of it. Point A on line B-E marks the "midpoint" of it, and therefore, ray A-E and A-B are part of line B-E.

Answer:

[tex]{ \tt{x = 41 \degree}}[/tex]

Interior alternate angles.

[tex]{ \tt{y + x = 180 \degree}} \\ { \tt{y + 41 \degree = 180 \degree}} \\ { \tt{y = 139 \degree}}[/tex]

Answer:

x = 45°

y = 135°

Step-by-step explanation:

Hi, Ace here!

Over here, we have a transversal with m parallel to n. Because those two lines are parallel, we can apply many theorems to this transversal.

First, we can say that m<45° and m<x° are corresponding angles. According to this theorem, that means both these degree measures are equal, thus x = 45°.

To find y, we can do 1 of two things in 1 step. We can name m<45° and m<y° as same side exterior angles, which means that they'd be supplementary angles (add up to 180°).

The second thing we can do is say m<x and m<y supplement each other because the measure of a flat line equals 180°, and according to Part-Whole-Postulate, that means all the parts of the flat line would also equal up to 180°.

Of course, these methods are practically the same due to substitution (m<x=m<45°). So m<y = 180° - m<x or m<y = 180° - 45° = 135°.

Hope this helped, let me know if you have any questions.

Answer:

[tex]x=\frac{4\sqrt{3}}{3}[/tex]

Step-by-step explanation:

From the figure attached,

ΔABC is an equilateral triangle.

Therefore, by the property of the equilateral triangle,

Measure of each angle = 60°

By applying tangent rule in the right triangle ADC,

[tex]\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\sqrt{3}=\frac{4}{x}[/tex]

[tex]x=\frac{4}{\sqrt{3}}[/tex]

[tex]x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }[/tex]

[tex]x=\frac{4\sqrt{3}}{3}[/tex]

Answer:

answer for this question is 4

Step-by-step explanation:

2+2=4

Answer:

6(b + 5) = 4

Step-by-step explanation:

To start of we know that by saying six time the sum of a number and five. The problem wants us to put b + 5 in parenthesis to establish that the 6 is being distributed to both the b and the 5. Now that we have the first part, all we have to do is write that this expression is equal to four.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

Dotplot, because a small number of scores are reported individually.

Step-by-step explanation:

Given the data :

Score (points) _______ 1 _ 2 _ 3 _ 4 _ 5

Number of Students __ 1 _ 2 _ 4 __3_ 2

Both the dot plot and histogram are used to represent graphical representation of data. The histogram uses bars ot represent data values or frequency of data organized or presented as ranges. This means histograms are usually ideal for grouped data which maintain a specified amount of interval between each class Or group. The Dotplot on the other hand handles individual data values using dots that represent the frequency of each. Since the data above are reported as individual data values, then the Dotplot is an ideal choice.

Answer:

small dot plot bb

Step-by-step explanation:

xoxo

Answer:

56

Step-by-step explanation:

that is the procedure above

The missing segment in the image below is 8.

The missing segment is the side length of the small triangle that is formed by the two red lines and the green line. We can find the length of this side length by using the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the missing segment, and the other two sides are 4 and 5.

missing [tex]segment^2[/tex] = [tex]4^2[/tex] + [tex]5^2[/tex]

missing [tex]segment^2[/tex] = 16 + 25

missing [tex]segment^2[/tex] = 41

missing segment = √41

Therefore, the missing segment is √41.

Here are the steps in detail:

Identify the small triangle that is formed by the two red lines and the green line.

Label the sides of the triangle with the letters A, B, and C, where C is the missing segment.

Substitute the known side lengths into the Pythagorean Theorem.

Solve for the length of the missing segment.

To learn more about segment here:

https://brainly.com/question/12622418

#SPJ2

Answer:

B

Step-by-step explanation:

when grouping the like terms the 20 will become a negative therefore -20-5 is -25 so the 5d has to be divided into -25 and not 15.. making the rest of the answer wrong.

-5-20=5d

-25/5=5d/5

-5=d

I hope this helps

Answer:

Step 2

Step-by-step explanation:

khan

Answer:

angle NQT equals angle STR

Step-by-step explanation:

You already have two angLes, you just need a side to be able to say the AAS Theorem. The answer is the remaining side to figure that out

9514 1404 393

Answer:

  x = 4  or  x = 5

Step-by-step explanation:

Maybe you want to solve ...

  [tex]\dfrac{x-2}{x+2}-\dfrac{3}{x-2}=2\dfrac{x-11}{x^2-4}\\\\\dfrac{(x-2)^2-3(x+2)-2(x-11)}{x^2-4}=0\\\\\dfrac{x^2 -4x+4-3x-6-2x+22}{x^2-4}=0=\dfrac{x^2-9x+20}{x^2-4}\\\\{x^2-9x+20}=0=(x-5)(x-4)\ \Rightarrow\ x=\{4,5\}[/tex]

The solutions are x=4 and x=5.

_____

Additional comment

The Order of Operations requires that we interpret your input as ...

  x -(2/x) +2 -(3/x) -2 = (2(x -11)/x^2) -4

This is probably not what you want.

In order to get the interpretation we have used above, you need to use parentheses around any numerator or denominator containing arithmetic operations:

  (x -2)/(x +2) -3/(x -2) = 2(x -11)/(x^2 -4)

Answer:

[tex] \frac{ - 8 - \sqrt{288} }{2 \times ( - 2)} = \frac{ - 8 -16.97 }{ - 4} = \frac{ - 24.97}{ - 4} = 6.2425[/tex]