Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does she have?

Answer:

The matched pairs are:

(A, 4), (B, 1), (C, 2) and (D, 3)

Step-by-step explanation:

The complete question is:

Match each description of an algebraic expression with the symbolic form of that expression :

A. 2 terms; variables = x and y

B. 3 terms; variables = x and y; constant = 3

C. 2 terms; variable = x; constant = 4.5

D. 3 terms; variables = x and y; constant = 2

1. x - 2y + 3

2. 4.5 - 2x

3. 4.5x + 2 - 3y

4. 4.5y - 2x

Solution:

A. 2 terms; variables = x and y  ⇒ 4. 4.5y - 2x

B. 3 terms; variables = x and y; constant = 3  ⇒ 1. x - 2y + 3

C. 2 terms; variable = x; constant = 4.5  ⇒ 2. 4.5 - 2x

D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y

Answer:

4

Step-by-step explanation:

Converting 3kg to grams,

3 kg *  = 3000 g

If we divide 3000 g by 75, we will determine how many packets of butter there are.

3000 / 75 = 40.

40 packets of butter. If 10 go into a box, that means that

40 / 10 = 4 boxes.

Hence 4 such boxes can be made

Answer:

4 boxes can be made

Step-by-step explanation:

→ First work out the amount of small packets there are

3 kg = 3000g

3000 ÷ 75 = 40

→ Now we know that there are 40 small packets and one box can hold 10 packets so,

1 box  = 10 packets

?  boxes = 40 packets

40 ÷ 10 = 4

→ 4 boxes can be made

Answer:

The density of the final mixture is 1.012 g/cm³.

Step-by-step explanation:

To calculate the density of the final mixture we need to know the mass of each solution used is. We will also need to convert the volumes from litres to cm³, to do that we can just multiply 1000.

For the ethanol:

[tex]mass = volume*density\\mass = (80*1000)*1.09 = 87,200 \text{ g}\\[/tex]

For the propylene:

[tex]mass = (148*1000)*0.97 = 143,560 \text{ g}[/tex]

So the mass in the final mix is the sum of both:

[tex]mass_{final} = 87200 + 143560 = 230,760 \text{ g}[/tex]

Therefore the density is:

[tex]density_{final} = \frac{230760}{228000} = 1.012 \text{ }\frac{g}{cm^3}[/tex]

The density of the antifreeze is 1.01 g/cm³

Equations are used to show the relationship between two or more numbers and variables.

Let x represent the density of the antifreeze in g/cm^3.

1 cm³ = 0.001 L

80 L = 80000 cm³; 148 L = 148000 cm³, 228 L = 228000 cm³

Hence:

(1.09 * 80000) + (0.97 * 148000) = x * 228000

228000x = 230760

x = 1.01 g/cm³

The density of the antifreeze is 1.01 g/cm³

Find out more at: https://brainly.com/question/21667661

Answer:

1234

Step-by-step explanation:

Answer:

2625

Step-by-step explanation:

First let's see all the possible combinations.

(Even=E, Odd= O)

1) EEEO

2) EEOE

3) EOEE

4) OEEE

5) EEEE

Now let's see what E and O possibly could be

E = 0, 2, 4, 5, 6 and 8 (5)

O = 1, 3, 5, 7, 9 (5)

Now we are just simply gonna multiply

1) EEEO = 4*5*5*5

2) EEOE = 4*5*5*5

3) EOEE = 4*5*5*5

4) OEEE = 5*5*5*5

5) EEEE = 4*5*5*5

The even contains a 0, so you can't put 0 in, so (5-1=4), there are only 4 digits for the even.

500 times 4 = 2000

5⁴ = 625

2000+625= 2625

Answer: The road is 4 miles shorter across the park

Step-by-step explanation: There are two right triangles

Answer:4 KM

Step-by-step explanation:

6km+4km=10km

Both sides 14 KM

[tex]\sqrt{6^{2} +4^{2}} =Diagonally[/tex]

Diagonally 10 KM

14KM-10KM=4KM

Answer:

The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:

3 : 4 = x : 42

3 * 42 = 4x

x = 3 * 42 / 4 = 31.5

Answer:

D

Step-by-step explanation:

The correct option is option D as 2cos²(x)cos²(x) simplifies as follows:

2cos²(x)cos²(x) = {3 + 4cos(2x) + cos(4x)} / 4

The given expression is : 2cos²(x)cos²(x)

The square identity for cosine is given by:

2cos²(x) -1 = cos(2x)

Thus,

2cos²(x) = {cos(2x) +1}

simplifying again,

cos²(x) = {cos(2x) +1}/2

Simplifying the above using squared identities:

2cos²(x)cos²(x) = {cos(2x) +1}cos²x

                         = {cos(2x) +1} {{cos(2x) +1}/2}

                         [tex]= \frac{\{cos(2x) +1\}^2}{2}\\\\=\frac{cos^2(2x)+2cos(2x)+1}{2}\\\\=\frac{\frac{cos(4x)+1}{2}+2cos(2x)+1}{2}\\\\=\frac{3+4cos(2x)+cos(4x)}{4}[/tex]

so,

2cos²(x)cos²(x) = {3 + 4cos(2x) + cos(4x)} / 4

Hence option D is correct.

Learn more about squared identities:

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Answer:

Im pretty sure its B

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

b. [tex]\frac{5}{8}[/tex]

▹ Step-by-Step Explanation

[tex]\frac{1}{16} + \frac{9}{16} = \frac{10}{16} \\\\= divide each side by 2\\\\\frac{10}{16} = \frac{5}{8}[/tex]

- Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

10/16 but I’m pretty sure your teacher is gonna want for you to reduce to where you answer would actually be 5/8

Step-by-step explanation:

1/16 +9/16 you’ll add the top number which equals up to 10, but since both of your bottom number are the same you lol keep those making your answer 10/16. But most teacher prefer you to reduce so it’ll bring your answer to 5/8 since the only number that can go into both 10 and 16 is 2 which is what you did. In conclusion 5/8 is your answer.

[tex]\displaystyle\bf\\\textbf{We have a prism with a rectangular triangle base.}\\\\Base~area\!:~~Ab=\frac{3\times4}{2}=\frac{12}{2}=6~km^2\\\\Lateral~area\!:~~Al=(3+4+5)\times9=12\times9=108~km^2\\Total~area\!:~~At=2\times Ab+Al=2\times 6+108=12+108=\boxed{\bf120~km^2}\\[/tex]

Answer:

D. Cost

It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.

Step-by-step explanation:

Please mark brainliest I hope this helps.

Answer:

D the cost

Step-by-step explanation:

cause the costs always go on the y axis

Answer:

None of these

Step-by-step explanation:

The congruent occurs when the two diagrams are matched with each other in terms of the same sides and same angles

In other terms, we can say that if both quadrilaterals contain the same sides and same angles so we called as congruent

As we can see in the figure that there is only angles are given but not the sides that are totally different

Hence, none of these is the right answer

Answer:

D.) Measure of angle X = 140 degrees and Measure of angle = 94 degrees

Step-by-step explanation:

I would start by setting up a chart like I did below.

Label one column age now and the other age in 5 years.

Since we don't know the son's age we use x.

We do know that the man's age is 4 times the son's age.

So the man's age will be 4x.

In the age in 5 year column, we add 5 to their current ages.

Now set up our equation.

Since it says "in five years" we use information in second column.

In 5 years time, he, "4x + 5", will be, equals,

3 times as old as his son, "3(x + 5)".

So we have 4x + 5 = 3(x + 5).

Solving from here, we find that x = 10.

So the son is 10 and the man is 4 times his age or 40.

Answer:

5

Step-by-step explanation:

Using Pythagoras' identity

The horizontal distance between A and B is 3 units

The vertical distance between A and B is 4 units

Thus

AB = [tex]\sqrt{3^3+4^2}[/tex]

      = [tex]\sqrt{9+16}[/tex]

      = [tex]\sqrt{25}[/tex]

      = 5

Answer:

-36 + 27j

Step-by-step explanation:

−9(4 − 3j)

Distribute

-9 * 4  -9 * (-3j)

-36 + 27j

Answer:

27j - 36.

Step-by-step explanation:

−9(4 − 3j)

= -9 * 4 - 9 * (-3j)

= -36 + 27j

= 27j - 36

Hope this helps!

Answer:

6 bananas

Step-by-step explanation:

Divide the dollars by the price for bananas

15/2.45

6.12244898

Round down because she cannot buy part of a banana

6 bananas

it is the answer of your question

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(2y4 • 5) • y3

STEP

2

:

Equation at the end of step 2

(2•5y4) • y3

STEP

3

:

Multiplying exponential expressions

3.1 y4 multiplied by y3 = y(4 + 3) = y7

Final result :

(2•5y7)

Answer:

This statement is B. False

Step-by-step explanation:

You CAN tesselate six-sided regular polygons by themselves therefore, this statement is FALSE.

Hope this helped! :)

Answer:

Step-by-step explanation:

Answer: 2.12 seconds

Step-by-step explanation:

From the question, we are informed that Josie ran a lap in 45.23 seconds while Erica ran a lap in 43.11 seconds.

To calculate the extra amount of time it took Josie to complete the lap, we subtract Erica's time from Josie's time. This will be:

= 45.23 seconds - 43.11 seconds

= 2.12 seconds

Answer:

The answer is option B.

[tex]f(x) = {2}^{x} [/tex]

Hope this helps you

Answer:

5 units in the positive y-axis

Step-by-step explanation:

In order to get triangle D’E’H’, triangle DEH was moved upwards for a number of units which can be obtained by taking a corner of the rectangle and counting the number of square spaces (grids) it was moved upwards by.

Step one: Pick a corner of the triangle.

For this, we can pick corner D and note its position on the graph

Step two: Count the number of squares between point D and D'.

Once we count this, we can see that there are 5 square spaces between D and D'.

Step Three: Repeat the process for the other two corners of the rectangle.

If the square spaces counted  are the same with what was obtained for the first corner, we can comfortably say that the rectangle was translated upwards by a distance of 5 units

Answer:

-6x^3 - x^2 + 2x

Step-by-step explanation:

We can first start with distributing the x using the distributive property

(3x^2 + 2x)(-2x+1) Remember that when x is multiplied with 3x, it increases the exponent to 3x^2)

Now we use FOIL to distribute (First, Outside, Inside, Last)

-6x^3 + 3x^2 - 4x^2 + 2x

We can combine the like terms (3x^2 and - 4x^2) into -x^2

-6x^3 - x^2 + 2x

Answer:

a) [tex]\frac{x^2}{16} +\frac{ y^2}{12} = 1[/tex]

b) [tex]\frac{x^2}{64} +\frac{ y^2}{16} = 1[/tex]

Step-by-step explanation:

a)

The vertices are located in the x-axis, so we have a horizontal ellipse.

The equation of an ellipse is given by:

[tex]\frac{(x - h)^2}{a^2} +\frac{ (y - k)^2}{b^2} = 1[/tex]

The coordinates of the foci and the vertices are given by:

Foci: [tex]F(h \pm c, k)[/tex]

Vertices: [tex]V(h\pm a, k)[/tex]

Comparing the coordinates with the values given, we have that:

h = 0, k = 0, c = 2, a = 4

To find the value of b we can use the following equation:

[tex]c^2 = a^2 - b^2[/tex]

[tex]4 = 16 - b^2[/tex]

[tex]b^2 =12[/tex]

So the equation of the ellipse is:

[tex]\frac{x^2}{16} +\frac{ y^2}{12} = 1[/tex]

b)

If the ellipse is centered at the origin, we have:

h = 0, k = 0

The major axis is 'a' and the other axis is 'b', so we have:

a = 8, b = 4.

So the equation is:

[tex]\frac{x^2}{64} +\frac{ y^2}{16} = 1[/tex]

Answer:

the answer is 5 if it was helpful please give 5 star

Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer/Step-by-step explanation:

Below are the steps to take in solving the given equation, as well as justification forf each step:

[tex] \frac{2}{3}y + 15 = 9 [/tex]  => Given

[tex] \frac{2}{3}y + 15 - 15 = 9 - 15 [/tex] => subtraction property of equality

[tex] \frac{2}{3}y = - 6 [/tex] => simplification

[tex] \frac{2}{3}y * \frac{3}{2} = - 6 * \frac{3}{2} [/tex] => multiplication property of equality

[tex] y = - 9 [/tex] => simplification

Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

I'll remember some concepts:

[tex]\log_{a}{b} = \log_{a}{c} \implies b=c\\\\\log_{a}{b}+ \log_{a}{c} = \log_{a}{b\cdot c}[/tex]

Question:

[tex]\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)}+\log_{6}({x+3)}\\\\\\\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)\cdot(x+3)}\\\\\\(x^2-5x) = (2x-9)\cdot(x+3)\\\\\\x^2-5x=2x^2+6x-9x-27\\\\\\0 = x^2+2x-27\\\\\\\Delta = 4+108 = 112\\\\\\\\\sqrt{\Delta} = \sqrt{112} = 4\sqrt{7}\\\\\\\\x = \dfrac{-2\pm 4\sqrt{7}}{2}\\\\\\\\x = -1 \pm 2\sqrt{7} \\\\\\\\x_1 = 2\sqrt{7} -1\\\\\\x_2 = -1-2\sqrt{7}[/tex]

The negative solution cant exist since we are talking about logarithms.

Answer:

Hello!

____________________

Your answer would be (A) O point W.

Step-by-step explanation:  Intersection of the two lines is defined as the point where the two lines cross or meet each other.

It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.

From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.

Hence, option A is correct.

Hope this helped you!

Answer: point w hope this helped

Step-by-step explanation:

Answer:

300 - 5t means that Ann pays $300 - 5 times the number of guests she brings to the gym.

when t = 5, it equals $275

when t = 10, it equals $250

when t = 15, it equals $225

when t = 20, it equals $200

Step-by-step explanation: