) What number makes the equation true?
-5+__=7 1/3

Answer:

17/8

Step-by-step explanation:

2/1=2

11-2-6-7/8

9-6-7/8

3-7/8

24/8-7/8

17/8

Answer:

The consecutive even numbers are -42, -44, -46

Step-by-step explanation:

As the numbers are consecutive even integers,

Let,

The first number is "x"

The second number is "x+2"

The third number is "x+4"

According to the equation,

x + (x+2) + (x+4) = -132

As the sum is -132. Now we break the parenthesis by using the addition rule.

or, x + x + 2 + x + 4 = -132

or, 3x + 6 = -132

or, 3x = -132 - 6 (side change)

or, 3x = -138

or, x = -138/3 (interchange)

or, x = -46

Therefore, the first number is -46

The second number is -46+2 = -44

And the third number is -46+4 = -42

The consecutive even numbers are -42, -44, -46

Answer:

4x+3−9x= 3-5x

5+3.2n−6−4.8n= -1.6n-1

2y−5(y−3)= -3y-15

−1/2(8b+3)+3b= -1b-1.5

Step-by-step explanation:

Add the numbers with the variables.

4x-9x= -5x

Then add the rest of the equation to it.

3-5x

Again, add the numbers with the variables and simplify the others.

3.2n- 4.8n= -1.6n

5-6= -1

That leads to....

-1.6n-1

Distribute the 5 into the parenthesis.

2y-5y- 15

Now, subtract the variables.

-3y-15

Distribute into the parenthesis.

-4b+(-1.5)+ 3b

Add the variables together.

-1b-1.5

Answer:

Step-by-step explanation:

The expanded form of the number 234.567 written using exponential notation  would be ...

  2×10² +3×10¹ +4×10⁰ +5×10⁻¹ +6×10⁻² +7×10⁻³

Note that exponents decrease going left to right (or increase going right to left). The exponent associated with the "ones" place is 0.

Apparently, you're supposed to write the negative powers as fractions, so you would have ...

  6.19 = 6×10^0 + 1×(1/10^1) + 9×(1/10^2)

Answer:

126

Step-by-step explanation:

621 - x = 495

Subtract 621 from both sides.

-x = -126

Divide by -1

x = 126

1140

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Just failed hah stream fancy

Answer:

Answer is a^8/b^10

Option C

Step-by-step explanation:

((a²b-³)/(a-²b²))² where b and a are not equal zero

To solve this equation we start solving the equation from inside the bracket. And for simplicity we solve the numerator and solve the denominator before dividing them with each other. Now let get started

((a²b-³)/(a-²b²))²

Recall from indices that

a ^ -b = 1/a^b

I.e b-³ = 1/b³... We will apply this here.

((a²b-³)/(a-²b²))²

=((a²* 1/b³)/(b²*1/a²))²

=((a²/b³)/(b²/a²))²

Also recall that

(a/b) / (c/d) = (a/b) * (d/c)

Therefore

=((a²/b³)/(b²/a²))²

=(a²/b³ * a²/b²)²

Recall that: a^b * a^c = a^(b+c)

= (a ^ (2+2) / b ^ (2+3))²

= (a^4/b^5)²

Recall that: (a^b)^c = a^(b+c)

Therefore:

=™(a^4/b^5)²

=(a^(4*2)/b^(5*2))

= a^8/b^10

Answer:

The next two terms for the geometric sequence are - 108 and - 324.

Step-by-step explanation:

1. Let's find the next two terms for the geometric sequence which first three terms are as follows:

- 4, 12, - 36.....

Aₓ = Aₓ₋₁ * 3 ; A₁ = - 4

A₁ = - 4

A₂ = A₁ * 3 = - 4 * 3 = - 12

A₃ = A₂ * 3 = - 12 * 3 = - 36

A₄ = A₃ * 3 = - 36 * 3 = - 108

A₅ = A₄ * 3 = - 108  * 3 = - 324

The next two terms for the geometric sequence are - 108 and - 324.

The algebraic expression of "3 times the sum of 2 and y" is 3(2 + y) ⇒ 1st answer

Step-by-step explanation:

Let us revise some words in the operations of mathematics problems

∵ The algebraic expression is " 3 times the sum of 2 and y "

∵ Sum is the answer of add

∴ add 2 and y

∴ The sum of 2 and y = 2 + y

∵ 3 times means multiply by 3

∴ 3 times the sum

∴ Multiply the sum by 3

∵ The sum = 2 + y

∴ Multiply (2 + y ) by 3

∴ 3(2 + y)

∴ 3 times the sum of 2 and y = 3(2 + y)

The algebraic expression of "3 times the sum of 2 and y" is 3(2 + y)

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Answer:

a

=

Step-by-step explanation:

uo[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[

Answer:

1. Ox-intercept is -4; y-intercept is 8.

2. Ox-intercept is 16; v-intercept is 20.

Step-by-step explanation:

1. -10x + 5y = 40

Recall the equation of line in slope - intercept form :

y = mx + c , where m is the slope and c is the y - intercept

Writing the given equation in this form,we have:

-10x + 5y = 40

5y = 10x + 40

y = 10/5 x + 40/5

y = 2x + 8

comparing with y = mx +c , then y - intercept is 8 , the x - intercept is the point at which y = 0 , substituting y = 0 into the equation , we have

0 = 2x + 8

2x = -8

x = -8/2

x = -4

2. Following the same procedure:

y = -5x/4 + 20

y - intercept = 20

x - intercept = 16

Answer:

53%

Step-by-step explanation:

subtract 6.5 - 4.25 = 2.25

then divide 2.25/4.25 = .529

times answer by 100 = 53% rounded

Answer: 53% increase

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

Work Shown:

A = old value = 4.25

B = new value = 6.50

C = percent change

C = 100*(B-A)/A

C = 100*(6.50 - 4.25)/4.25

C = 52.94%

C = 53%

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

notes:

The positive C value indicates we have a percent increase. If C was negative, then we'd have a percent decrease.

The formula shown above for C is basically having us compute the difference in price (B-A) and then we divide that difference over the original price A. This computes the decimal form of the answer. The "100*" tacked out front will convert from decimal to percent form.

If you took 52.94% of the original price 4.25, then you would get 0.5294*4.25 = 2.24995 which rounds to 2.25; this is the amount the price increases so we add this to 4.25 and we get 4.25+2.25 = 6.50 which is the new share price.

Answer:

1

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Any expression raised to the power of zero will equal 1

Given

[tex](3/7)^{0}[/tex] = 1

Answer:

169/100

Step-by-step explanation:

93 + 76/100 = 169/100

Answer: 169/100

Step-by-step explanation:

Final answer:

To find the previous year's total revenue, divide the current year's revenue by 1.34 since the current revenue is 34% higher than the previous year. The calculation shows that the previous year's revenue was $25,000.

Explanation:

The question asks us to find the total revenue of a small business for the previous year, given that the current year's revenue is 34% higher. To do this, we let x represent the revenue from the previous year. Since this year's revenue is 34% more than last year's, we have the equation:

1.34x = 33,500

To find the value of x, we divide both sides of the equation by 1.34:

x = 33,500 / 1.34

x = 25,000

Therefore, the total revenue for the previous year was $25,000.

Answer:

not direct variation

Step-by-step explanation:

The equation for x and y in direct variation is

y = kx ← k is the constant of variation

y = [tex]\frac{5}{x}[/tex] is not in this form, thus not direct variation.

The equation for x and y varying inversely is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

y = [tex]\frac{5}{x}[/tex] is in this form and represents inverse variation

Answer:

=40/33

8/11 divide 3/5 -> 8/11 x 5/3 and multiply 8x5 then 11x3 then u got your answer! :)

Hope this worked :D

Answer:

Your answer is 40/33

Step-by-step explanation:

8/11 * 3/5

flip the fraction

8/11* 5/3

Multiply

Answer:

Step-by-step explanation:

1. 1 7/9

2. 22

3. 8

4. 64

5. 16

Answer:

Cube root of 16

Step-by-step explanation:

Place 2 inside of the square root and 3 outside and 4 inside

Here's how it looks:

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

then you can quadruple root the 2 which gives you 16 and 16 doesn't simplify any further into a cube root so your answer is the cube root of 16

The price of jacket was $24.54

Step-by-step explanation:

Let,

Cost of jacket = x

Cost of pair of shoes = y

According to given statement;

x+y=52.95   Eqn 1

x = y-3.87    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex](y-3.87)+y=52.95\\y-3.87+y=52.95\\2y=52.95+3.87\\2y=56.82\\[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{56.82}{2}\\y=28.41[/tex]

Putting y=28.41 in Eqn 2,

[tex]x=28.41-3.87\\x=24.54[/tex]

The price of jacket was $24.54

Keywords: linear equation, division

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Final answer:

The price of the jacket is $24.54, calculated by first finding the price of the shoes from the total cost and the price difference between the jacket and shoes, and then subtracting the difference from the price of the shoes.

Explanation:

The question at hand involves finding the price of a jacket given the total cost of the jacket and a pair of shoes and the relationship between their prices. Let's denote the price of the jacket as J and the price of the shoes as S. According to the information provided, we have the following two equations:

J + S = $52.95 (The total cost of both items)

J = S - $3.87 (The jacket costs $3.87 less than the shoes)

We can substitute the second equation into the first to find the price of the shoes:

(S - $3.87) + S = $52.95

2S - $3.87 = $52.95

2S = $52.95 + $3.87

2S = $56.82

S = $56.82 / 2

S = $28.41

Now we can find the price of the jacket by substituting the price of the shoes back into the second equation:

J = $28.41 - $3.87

J = $24.54

Therefore, the price of the jacket is $24.54.

1 An integer is a number that has no fractional part, and no digists after the decimal point. An integer can be positive, negative or zero. example 12, 34,-4,0 etc.

2. A natural number is a number that occurs commonly and obviously in nature. As such it is a whole, non -negative number. The set of natural numbers, denoted N, can be defined in either of two ways : N = (0,1,2,3,.......)

Natural numbers include 1, 2, 3, 4...; they are numbers you normally count and will go onto infinity and beyond. ZERO IS NOT A NATURAL NUMBER BECAUSE IT IS NEUTRAL.

Integers are all negative and positive counterparted whole numbers; e.g.... −4, −3, −2, −1, 0, 1, 2, 3, 4,...

I am joyous to assist you anytime.

Answer:

8

Step-by-step explanation:

Answer:

18.55, lines m and n are parallel and t is the transversal. If ∠1 = 130o, find the measures of the other angles and give reasons.

Step-by-step explanation:

The measure of angle 8 will be 130° since it corresponds to angle 1, and their measures are equal because lines m and n are parallel.

To find the measure of angle 8 when lines m and n are parallel, and the measure of angle 1 is 130°, it's important to understand the concept of corresponding angles in the context of parallel lines. Corresponding angles are equal when two lines are parallel. Given that angle 1 is 130°, and assuming that angle 1 and angle 8 are corresponding angles (since the question does not specify their positions), the measure of angle 8 is also 130°.

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The value of k will be 3 if the function is transformed by compression factor of 3

Step-by-step explanation:

The horizontal stretch or compression for a function f(x) is given by  g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.

As it is given in the question that he function is transformed by a compression factor of 3.

Given function

[tex]f(x) = 7^x+1\\To\ transform\\g = f(bx)\\g = 7^{3x}+1[/tex]

The value of k will be 3 if the function is transformed by compression factor of 3

Keywords: Functions, Transformation

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The homing pigeon will minimize its flying time by flying straight across the river, then directly to its nest. The time to fly this route would be 142.5 seconds.

The homing pigeon's path that will minimize its flying time would-be one where it flies straight across the river and then flies directly to its nest. The total time can be calculated by adding the time it flies over water and the time it flies over land. Initially, calculating the flying time over water, if the river is 500 meters wide, the time will be the distance divided by speed which equals 500m/8m/s = 62.5s . Now the land distance is the total distance minus the width of the river, so it would be 1300m – 500m = 800m. The time to cross this distance will be 800m/10m/s = 80s. Hence, adding both times, total flying time will be 62.5s + 80s = 142.5s. Therefore, the shortest path is firstly, flying straight across the river, and then straight towards its nest.

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The correct sequence is a. 17, 26, 37.

To determine the next three terms in the sequence, we must first identify the pattern governing the sequence. Let's examine the differences between consecutive terms:

- The difference between the second term (2) and the first term (1) is 1.

- The difference between the third term (5) and the second term (2) is 3.

- The difference between the fourth term (10) and the third term (5) is 5.

- The difference between the fifth term (17) and the fourth term (10) is 7.

We can see that the differences between consecutive terms are increasing by 2 each time. This suggests that the sequence is generated by adding consecutive odd numbers to the previous term. To find the next terms, we continue this pattern:

- The sixth term will be the fifth term (17) plus the next odd number (9), which is 17 + 9 = 26.

- The seventh term will be the sixth term (26) plus the next odd number (11), which is 26 + 11 = 37.

- The eighth term will be the seventh term (37) plus the next odd number (13), which is 37 + 13 = 50.

Therefore, the next three terms of the sequence are 26, 37, and 50, confirming option a as the correct answer.

Answer:

[tex]8\div9\times3\div16+1\div12=\frac{1}{4}[/tex]

Step-by-step explanation:

Given operation:

[tex]8\div9\times3\div16+1\div12[/tex]

Using PEDMAS to evaluate the order of operations.

First division:

[tex]=\frac{8}{9}\times\frac{3}{16}+\frac{1}{12}[/tex]

Next multiplication:

[tex]=\frac{1}{6}+\frac{1}{12}[/tex]

Then addition:

taking LCD of [tex]6\ and\ 12=12[/tex]

[tex]=\frac{2}{12}+\frac{1}{12}[/tex]

[tex]=\frac{3}{12}[/tex]

reducing to simplest fraction by division of both numbers by GCF.

[tex]=\frac{3\div3}{12\div3}=\frac{1}{4}[/tex]

Answer:

2. n = 11

4. g = -2

6. t = 21

8. n = 4

10. y = -1

Step-by-step explanation:

2. 63  = -3(1 - 2n)

Dividing both the side by negative 3 we get

[tex]-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11[/tex]

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

[tex]-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2[/tex]

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

[tex]-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\[/tex]

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

[tex]-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4[/tex]

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

[tex]-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1[/tex]

Answer:

No

Step-by-step explanation:

because one can be 5 by 5 and the other can be 7 by 7.

I know it's to short but this is what I got.

Answer:

5 by 5 and 7 by 7. Really hope this helped :)

Step-by-step explanation:

Final answer:

To find the angle of elevation, we can use the concept of tangent. The angle of elevation is approximately 67.7 degrees.

Explanation:

To find the angle of elevation, we can use the concept of tangent.

Tan(Angel of Elevation) = Opposite/Adjacent

Here, the opposite side is the height of the fair, which is 1800 meters, and the adjacent side is the height of the station, which is 700 meters.

Tan(Angel of Elevation) = 1800/700

Angel of Elevation = tan-1(1800/700)

Using a calculator, the angle of elevation is approximately 67.7 degrees.

Answer:

Step-by-step explanation:

[tex]-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1[/tex]

Answer:

The answer is y = 6.

Step-by-step explanation:

Given:

RS = [tex]3y+41[/tex], ST = [tex]18y-76[/tex] and RT = 91.

Now, to find the [tex]y[/tex].

According to question add the equations:

RS + ST = RT

[tex]3y+41+18y-76=91[/tex]

Adding the numbers and variables in L.H.S.

[tex]3y+18y-76+41=91[/tex]

[tex]21y-35=91[/tex]

Adding 35 on both sides:

[tex]21y-35+35=91+35[/tex]

[tex]21y=126[/tex]

Dividing both sides by 21:

[tex]21y\div 21=126\div 21[/tex]

[tex]y=6[/tex]

Therefore, the answer is y = 6.