There are two approaches to solving the equation -3x + 10 = 4x - 20

Subtract 4x from both sides. OR Add 3x to both sides.

–7x + 10 = –20 OR 10 = 7x – 20

Solve the equation using both approaches.

Answer:

D

Step-by-step explanation:

d) A number plus eight is five times the number

Keywords within mathematical phrases can be "translated" into an algebraic equation.

Keywords

First, let's define some of these keywords that can help us answer the question.

Writing Out the Expression

In the figure, we see that the blocks "x" and "8" is equal to the block "5x". So, we can say that x plus 8 is equal to 5x. Then, using the keywords above we can replace the variables and numbers.

Answer:

An algebraic expression containing two or more terms is called a polynomial

Answer:

Its C

Step-by-step explanation:

it worked finally

The standard deviation of the given discrete distribution, considering it's formula, is of 1.195.

Researching this problem on the internet, the distribution is given by:

Hence the mean is given by:

E(X) = 0.56(1) + 0.23(2) + 0.11(3) + 0.05(4) + 0.03(5) + 0.02(6) = 1.82.

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{0.56(1-1.82)^2+0.23(2-1.82)^2+0.11(3-1.82)^2 + \cdots + 0.02(6-1.82)^2} = 1.195[/tex].

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A function assigns the values. The value of (gof)(3) is -576.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x)=x+21 and g(x)=-x², therefore, the value of (gof)(x) will be,

(gof)(x) = g(f(x))

           = -(x+21)²

The value of (gof)(3) will be,

(gof)(3) = -(3+21)²

            = -576

Hence, the value of (gof)(3) is -576.

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Answer:

2

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.

Let original Hieght be X

reduction = 32% = 32/100 X

new hieght = 4.42 m

now, 4.42 = X + 32/100 X

4.42 = 132/100 X

X = 4.42 * 100 / 132

X = 3.34 m

Original Hieght = 3.34 m

Answer:

since it talks about a ratio of margarine to flour, we should write it in this form:

Since we have a 50g margarine and a 200g flour, therefore, we write it as

➡️ 50 : 200 ➡️ 1 : 4

FINAL ANSWER SHOULD BE:

Step-by-step explanation:

Ratio of MARGARINE TO FLOUR

Given that margarine is 50g and flour is 200g. Therefore,

Margarine:Flour ➡️ 50:200 = 1:4

To check:

A:B= C:D ➡️ 50:200= 1:4

▶️AD= BC ➡️ (50) (4) = (200) (1)

➡️ 200 = 200

☑️

Hope it helps

32/40 = 24/dg

32dg = 40 x 24

32dg = 960

dg = 960/32

dg = 30

Answer: DG = 30

Answer:

Step-by-step explanation:

these are 2 similar triangles, so we can solve with an equation

FC : CE = DG : ED

24 : 32 = x : 40

x = 24 * 40 : 32

x = 960 : 32

x = 30

DG = 30 units

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

24 : 32 = 30 : 40

0.75 = 0.75

The answer is good

The exponential function is used. Use x as your variable common ratio.

This is pretty obviously

If it wasn't obvious we can find the common ratio r by dividing successive values:

5/1=5

25/5=5

125/25=5

625/125=5

The common ratio is the number you multiply or divide by at each stage of the sequence. You can find it by dividing two consecutive pairs of terms.

That's the common ratio.  We multiply by the first term, but the first term is one, so that has no effect.

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The highest score is 32.

The mean refers to the average of a set of values.

Total players = 8

Mean= 14.5

Now, total score of 8 players,

= 14.5*8

=116

and, Total score for the remaining 7 players

= 12 * 7

= 84

Hence, the highest score is 116-84 =32

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Answer:

this is the answer

Step-by-step explanation:

6x+1=0

6x=-1

x=-1/6

x=0,166

7x=7×x

Answer:

11:18

Step-by-step explanation:

the lowest common multiple [meaning the nearest possible time these clocks will be ringing at the same time] of 42 and 56 is 168

(56 x 3 = 168 ; 42 x 4 = 168)

So, in 168 minutes, the clock will ring together again.

Now, we need to add 168 minutes to 08:30

(168 can be made up of 2 hours and 48 minutes [120 + 48 = 168])

08:30 + 2 hours = 10:30

10:30 + 48 minutes = 11:18

So, at 11:18, these clocks will ring together again

Answer:

A = 8 ; B = 6 and C = 4

Step-by-step explanation:

(-2) + A = 6

A = 6 + 2

A = 8

0 + B = 6

B = 6

2 + C = 6

C = 6-2

C = 4

Answer:

the probability is  10%

Step-by-step explanation:

1) All interior angles of a square are right angles, so angle WER measures 90°

2) All squares are parallelograms, and diagonals of a parallelogram bisect each other, meaning PA=AE=8 cm. Thus, PE=16 cm

3) All squares are rectangles, and diagonals of a rectangle are congruent, meaning WR=16 cm. Then, using the fact that the diagonals bisect each other, we get that WA=8 cm

4) If we consider right triangle WPR, we know it is isoceles because all sides of a square are congruent. So, the length of WP is:

[tex] \frac{16}{ \sqrt{2} } = 8 \sqrt{2} [/tex]

Answer:

147 miles

Step-by-step explanation:

The first step is to find the number of miles traveled per gallon of gas

63 miles / 3 gallons = 21 miles per gallon

Take the rate and multiply by the number of gallons used to get the distance traveled

d = r * g

d = 21 * 7

d =147

The distance traveled is 147 miles

Answer: 113 inches cubed

Step-by-step explanation:

Volume of a sphere = 4/3 Pi r^3

Radius = 3 inches

Volume = 113 inches cubed

Hope I helped!

Answer:

See below for both parts

Step-by-step explanation:

A)

Coupon Price:

$25 - 15% ($3.75) = $21.25

10% = 2.50

5% = 1.25

After taking the discount coupon off the final price is $21.25

B)

20% is given as a tip.

20% of $21.25 = $4.25

10% = 2.125

$21.25 + $4.25 = $25.50

Final price with tip is $25.50

Answer:

-x+4, 4+-x

Step-by-step explanation:

Obtain these answers by moving the X and 4 around and multiplying the equation by -1

Answer:

oh soooooooooooooooo sorry

Step-by-step explanation:

sorry

Answer:

12.5N

Step-by-step explanation:

See attached image.

Answer:

8ax - 8bx + 4a - 4b

Step-by-step explanation:

(a - b)(2x - 3) + (6x + 7)(a - b)

2ax -3a -2bx +3b + 6ax - 6bx + 7a -7b

8ax + 4a - 8bx - 4b

Answer:

4.11 yards/uniform

Step-by-step explanation:

We aren't told that there will be any differences in the uniforms among the 16 concert and 20 symphonic band students.  No information on sizes, styles, or anything else.

In the absence of this information, we must assume all uniforms are the same.

(16 + 20) = 36 students/uniforms

148 yards of material

148 yards/36 uniforms = 4.11 yards per uniform.

Answer: 49

Step-by-step explanation:

If R is the midpoint of QS, QS=2(QR)=2(RS).

[tex]15x-7=2(7x)\\15x-7=14x\\-7=-x\\\\x=7\\\\QR=7(7)=\boxed{49}[/tex]

Answer:

5 feet

The graphs intersect at x = 5.

Answer:

the portion of a solid that lies between one or two parallel planes cutting it

Step-by-step explanation:

Answer:

If both equations have the same slope, they are said to be parallel.

If an equation is the reciprocal of another equation (meaning flipped denominator and numerator as well as flipped +/- sign) they are said to be Perpendicular.

Hope it helps!

Answer:

x = 9

Step-by-step explanation:

x/3 = 6/2

~Simplify

x/3 = 3

~Rewrite

1/3x = 3

~Multiply 3 to both sides

x = 9

Best of Luck!

Answer: x=9 ✅

Step-by-step explanation:

Hii student, I'd love to help you out! (:

In this problem, we need to solve a proportion. This is fun, right?

3,2,1 - start!

Solving proportions is easy as winking, if you are familiar with a skill that is known as "cross multiplying".

We have these two proportions:

(oh and by the way, proportions are just equivalent (equal) fractions. That's all proportions are. Nothing more)

Our proportions are:

[tex]\large\boldsymbol{\cfrac{x}{3}=\cfrac{6}{2}}[/tex]

We multiply x times 2 and 3 times 6; upon  doing that we obtain.

[tex]\multimap\quad \tt 2x=18[/tex]

Did you see that? 2 fractions turned into a little equation that we can solve within 5 seconds (or faster)!

To do that we simply divide both sides by 2, since x is multiplied by 2 and we need to get it all by itself on one side of the equal sign)

[tex]\multimap\quad \tt x=9[/tex]

Woohoo! We found the answer! ✨

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

[tex]\underbrace[/tex]

Answer:

Groceries Galore

Step-by-step explanation:

1) Find the value of 1 egg for each shop.

Max's Market:

2.04 ÷ 6

= £0.34

Groceries Galore:

2.64 ÷ 8

= £0.33

Fancy Foodstuffs:

4.08 ÷ 12

= £0.34

Therefore, Groceries Galore's price per egg is cheaper.

Answer:

Groceries Galore

Step-by-step explanation:

we have to calculate the price of 2 eggs

in each shop apart ,and then we can infer

which shop offers the cheaper price.

…………………………………………………………

• At Max's market :

2 egg costs 2,04÷3 = £0,68

• At Groceries Galore :

2 egg costs 2,64÷4 = £0,66

• At Fancy Foodstuffs :

4,08÷6 = £0,68

………………………………

Conclusion :

Groceries Galore Offers the Lower price.

Note : we can just determine

the price of one egg in each store ,and then compare.

Answer:

8.04

Step-by-step explanation:

If the last digit in 8.041 is less than 5, then remove the last digit.

I hope this helps!