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10(1/2X + 5) = 8

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The statement 'Ten times the sum of half a number x and 5 is 8' can be translated into a mathematical equation as: 10 * (0.5x+5) = 8.

To write the equation for the given description, we first need to translate the statement into mathematical terms.

The description is 'Ten times the sum of half a number x and 5 is 8'. In mathematics:

'The sum of' is represented by a plus '

So, translating the statement into an equation we get:

10 * (0.5x+5) = 8

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Answer: 2

Step-by-step explanation:

Answer:35

Step-by-step explanation: the reason this is true is because 5is the smallest number that can round up to ten

Answer:

a. y = 6x + 11

Step-by-step explanation:

distribute and rearrange into slope-intercept form.

y - 5 = 6x + 6

add 5 to both sides

y = 6x + 6 + 5 ⇒ y = 6x + 11

Answer: Hello mate!

our equation is y - 5 = 6(x + 1), and we want to rewrite it in the slope-intercept form.

First lets distribute the parenthesis.

y - 5 = 6(x+1) = 6x + 6

now let's add 5 in both sides.

y-5 + 5 = 6x + 6 + 5

y = 6x + 11

Then the correct answer is the option A.

Answer:

13 --> 10

21 --> 20

29 --> 30

Answer:

The correct answer is: 10-20-30

Step-by-step explanation:

13 is between 10 and 20. The closest 10 for 13 is 10, because it's only 3 away (13  the other option would be 20 but it's 7 away, so way more.)

21 is between 20 and 30. The closest 10 for 21 is 20 ( it's only 1 away from 20, the other option would be 30 but it's 9 away, so way more.)

29 is between 20 and 30. The closest 10 for 29 is 30 (it's only 1 away from 30, the other option would be 20 but it's 9 away, so way more.)

Answer: Associative

Associative says it doesn't matter what is added or multiplied first, and this question shows this

Hope this helps!

Answer: Associative

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Since they're the fractions

Option B and Option D represent rational equation.

A rational equation is defined as any equation that can write in p/q form where q not equal  to zero.

From given option it is observed that,

Option B,   [tex]\frac{1}{2}x-\frac{1}{3} =4-x [/tex]

option D,  [tex]\frac{6}{x}-1=\frac{4}{x-2} [/tex]

Both option have fraction term.

Hence, Option B and Represent rational equation.

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Answer:

5

Step-by-step explanation:

because in 5 buses there could fit 160 students which is more than have rsvpd

Answer:

(a)

Step-by-step explanation:

Basically we're trying to figure out how many groups of 32 students are needed to have more than 140.

To do this, we take 140/32 (*BIG NOTE!! No matter what our answer is, we round up. If we rounded down, we'd be leaving some students behind, and we don't want that.)

140/32 = 4.375 (but remember, we round up no matter what)

so the answer is 5, which is A.

Answer:

Second picture: y=4 and x=7

First picture: x=70 degrees y=20 degrees

Step-by-step explanation:

Second picture:

One of the given triangles is an equilateral and the other is an isosceles.

Equilateral triangle has all congruent sides and it's angles are all congruent.

Isosceles triangle has two congruent angles and the opposite sides of those congruent angles are also congruent.

This implies all the side algebraic expression-measurements given are all equal.

5y-4=y+12

Add 4 on both sides:

5y=y+16

Subtract y on both sides:

4y=16

Divide both sides by 4:

y=4

So what is the side measurement for each of the sides given in terms of algebraic expressions?

y+12

4+12

16

Each side given in terms of an algebraic explanation is 16 units.

So we have also the following equation to solve:

3x-5=16

Add 5 on both sides:

3x=21

Divide both sides by 3:

x=7

So x=7 and y=4.

There is only one side in the picture that is possibly not 16. It is the one of the sides in the isosceles, not opposite the base angles.

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

First picture:

We are given x+y=90.

Since that one triangle is an isosceles we know that x+x+(180-40)=180

So let's solve the second equation for x then go back and solve for y in the first equation.

2x+140=180

Subtract 140 on both sides:

2x=40

Divide both sides by 2:

x=20

First equation:

x+y=90

So y=90-x=90-20=70.

Answer:

See explanation

Step-by-step explanation:

Given: ΔABC ≅ ΔDEF

AM, DN - medians

Prove: AM ≅ DN

Proof:

1. Congruent triangles ABC and DEF have congruent corresponding parts:

2. BM ≅ MC - definition of the median AM;

3. EN ≅ NF - definition of the median DN;

4. AB ≅ 2BM, EF ≅ 2EN

BM ≅ 1/2 AB,

EN ≅ 1/2 EF,

thus, BM ≅ EN

5. Consider two triangles ABM and DEN. In these triangles \:

So, ΔABM ≅ ΔDEN by SAS postulate.

6. Congruent triangles ABM and DEN have congruent corresponding sides BM and DN.

Answer:

[tex]x^{\frac{7}{3} }[/tex]

Step-by-step explanation:

The given expression is

[tex]\sqrt[3]{x^{7} }[/tex]

There's a exponent which relates fractional exponents and roots, that is

[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]

So, if we apply this property, the results would be

[tex]\sqrt[3]{x^{7} }=x^{\frac{7}{3} }[/tex]

Therefore, the right answer is the third choice [tex]x^{\frac{7}{3} }[/tex]

Answer:

c

Step-by-step explanation:

i took the test

Answer:

256m2.

Step-by-step explanation:

Answer:

256m^2

Step-by-step explanation:

Answer:

8 dollars per hour

Step-by-step explanation:

2 1/4=2.25

18/2.25=8

(Sorry I read the question wrong at first above answer should be able to help you. I apologize)

Answer:

Answer:

y = 26

Step-by-step explanation:

Given y varies directly as x and inversely as the square of z then the equation relating them is

y = [tex]\frac{kx}{z^2}[/tex] ← k is the constant of variation

To find k use the condition y = 52, x = 16, z = 2

k = [tex]\frac{yz^2}{x}[/tex] = [tex]\frac{52(4)}{16}[/tex] = 13

y = [tex]\frac{13x}{z^2}[/tex] ← equation of variation

When x = 18 and z = 3, then

y = [tex]\frac{13(18)}{9}[/tex] = 26

Answer:

30

Step-by-step explanation:

[tex]-15=\frac{z}{-2}\\\\(-15)(-2)=z\\\\30=z[/tex]

Answer:

Answer:

12

Step-by-step explanation:

28 / 4 = 7

1) -2

2) -2+7=5

3) 5+7=12

4) 12+7=19

5)19+7=26

My first number is -2 my fifth number is 26

My third number is 12

Given :

My first number is -2 my fifth number is 26

Lets assume the given numbers are in arithmetic sequence

First term is -2  and fifth term is 26

[tex]a_1=-2\\a_5=26[/tex]

Formula for nth term is

[tex]a_n=a_1+(n-1)d[/tex]

where d is the difference and n is the number of terms

[tex]a_5=a_1+(5-1)d\\a_5=-2+4d\\26=-2+4d\\26+2=4d\\28=4d\\divide \; by \;4 \\d=7[/tex]

Common difference is 7

First term is -2

second term is [tex]-2+7=5[/tex]

Third term is [tex]5+7=12[/tex]

So , the third number is 12

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Answer:

80/56 = 1.42

Step-by-step explanation:

Total songs = 136

Number deleted = 56

Number kept = 136-56 = 80

The ratio of songs kept to songs deleted = 80/56 = 1.42

The proportions or ratio are used to compare quantities with each other, and are usually written with a colon (:) intermediate.

good luck man i hate having to do this kind of thing in class

The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] represents the amount of money in a savings account with quarterly compounding interest over time.

The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] describes the amount of money, [tex]\(A(t)\),[/tex] in a savings account over time, where [tex]\(t\)[/tex] represents the number of years. The initial investment is $2000, and the account earns interest at a rate of 3%, compounded quarterly.

The term [tex]\((1.0075)^{4t}\)[/tex] represents the growth factor of the investment over time.

The base, [tex]\(1.0075\),[/tex] represents the factor by which the investment grows each quarter, considering the 3% annual interest rate.

Since the interest is compounded quarterly, it is raised to the power of [tex]\(4t\)[/tex] to account for the total number of quarters over [tex]\(t\)[/tex] years.

Multiplying the initial investment by this growth factor yields the total amount of money in the account after[tex]\(t\)[/tex]years.

As time increases, the exponential term increases, leading to exponential growth in the account balance.

This formula provides a mathematical model for calculating compound interest and understanding how investments grow over time.

Answer:

I believe the answer is 4 but im not sure because I skipped the @ but I didnt know what it meant

Step-by-step explanation:

4x +(2x - 1) = x +5+x-6

pretend that there is a 1 in front of the bracket

4x+1(2x-1)= x+5+x-6

Mutiply the bracket by 1

(1)(2x)= 2x

(1)(-1)= -1

4x+2x-1=x+x+5-6( combine like terms)

6x-1= 2x-1

move 2x to the other side

sign changes from +2x to -2x

6x-2x-1= 2x-2x-1

4x-1=-1

move -1 to the other side

4x-1+1= -1+1

4x= 0

divide by 4 for both sides to get x by itself

4x/4= 0/4

Cross out 4 and 4, divide by 4 and then becomes 1*1*x= x

x= 0/4

Answer: x= 0

Answer:

-0.25

Step-by-step explanation:

The coordinates of the point is (-5,3)

Let the initial coordinate be:

Initial = (0,0)

5 units to the left of the x-axis represents a horizontal translation left by 5 units.

So, we have:

New = (0 - 5,0)

3 units above the y-axis represents a vertical translation up by 3 units.

So, we have:

New = (0 - 5, 0 + 3)

Evaluate

New = (-5, 3)

Hence, the coordinates is (-5,3)

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Answer:

B

Step-by-step explanation:

1) Set up the following two equations, because of the absolute value:

3x-6=10

3x-6=-10

2) Solve both equations:

3x=16

3x=-4

3) Divide both sides by 3:

x=16/3

x=-4/3

4) Make fractions proper:

x=5 1/3

x=-1 1/3

Answer:

The business would get 240$

Step-by-step explanation:

120$ is the amount you would of made for the the 120 items. The business gets 3$ per item. 120 x 3 would be 360, subtracted by 120 which is what they give you. The business would end up with 240$, or 2/3rds of the money.

Answer:

240

Step-by-step explanation:

since you get the items for 1 dollar and sell them for 2 you need to subtract   3-1 to get your profit which is 2. since you sold 120 items, multiply 120x2 to get your profit of 240.

Answer:

17 1/2

Step-by-step explanation:

8 5/8 + 8 7/8

=17 1/2

Answer:

17 1/2

Step-by-step explanation:

8 5/8+8 7/8=...

So, let's take away the fractions for now.

What's 8+8?

Well, 8+8=16.

Now, let's take a look at the fractions.

5/8+7/8=...

Well, when we are adding fractions, the denominator will stay the same. So let's pretend that we are adding 5+7.

5+7= 12. So our answer is 16 12/8 Right?

wrong.

you will simplify the 12/8. Since the numerator is more than eight, we will subtract 8 from 12.

12-8=4

we will make the 8/8 a 1 and add it to the 16 to make it 17 4/8. We can still simplify this. The 4/8 becomes 1/2 making the answer: 17 1/2

Hope this helps!!!

Answer:

Irrational number

The number 4.333.... is a rational number because it can be expressed as the fraction 13/3. An irrational number, like Pi, cannot be expressed as a fraction of two integers.

The number 4.333..... is an example of a rational number. Rational numbers can be expressed as a fraction of two integers, and in this case, 4.333.... can be expressed as 13/3. In contrast, an irrational number cannot be expressed as a fraction of two integers. For example, the number Pi is an irrational number because it can not be accurately expressed as a fraction.

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Answer:

950000

Step-by-step explanation:

the rule with rounding is if the number to the direct left is under 5, it stays the same but if it is 5 or above, you round up and everything behind becomes zeroes.

Answer:

A. He gave the incorrect scale factor.

Step-by-step explanation:

The scale factor is the Multiplicative Inverse of 3, which is ⅓:

F → 12 × 6

F' → 4 × 2

This is a genuine statement because according to the graph, each block is worth 2, and ⅓ of 6 is 2, and ⅓ of 12 is 4.

I am delighted to assist you anytime my friend.

Answer:

the answer is A

Step-by-step explanation:

Miguel gave an incorrect scale factor.  The shape decreased in size meaning it would have a scale factor under 1 but he put 3 meaning the shape got larger when really it shrunk.  This means A is the correct answer

Answer:

5 ≥ 0

Step-by-step explanation:

9w - 4w +6 ≥ 1 + 5w.

Subtract 9w - 4w = 5w.

5w + 6 ≥ 1 + 5w.

Subtract 1 from each side.

5w + 6 - 1 ≥  1 - 1 + 5w

5w + 5 ≥ 5w

Subtract 5w from each side

5w - 5w + 5 ≥ 5w -5w

5 ≥ 0

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Answer: 4/64

Step-by-step explanation:

Since 1/4 * 4 = 1

We just have to multiply 1/64 times 4 to get the answer

1/64 * 4 = 4/64

Answer:

Car will cover 16 miles in 1 gallon of the gas.

Step-by-step explanation:

We can solve this question by unitary method.

∵ A car used [tex]\frac{1}{64}[/tex] gallons of gas to drive the distance = [tex]\frac{1}{4}[/tex] miles

∴ Car used 1 gallons to drive the distance = [tex]\frac{\frac{1}{4} }{\frac{1}{64} }[/tex]

= [tex]\frac{64}{1}\times \frac{1}{4}[/tex]

= [tex]\frac{64}{4}[/tex]

= 16 miles

Therefore, car will cover 16 miles in 1 gallon of the gas.