Translate the sentence into an equation. Four more than the quotient of a number and 8 is 9. Use the variable y for the unknown number.

Answer:

A . The numbers are 6 and 7, with the smaller number as 6

B. The number is 135

Step-by-step explanation:

A. Let the numbers be a and b

adding both gives 13

a + b = 13 •••••(i)

difference between the two is 1

b - a = 1 ••••••(ii)

So we have two equations that we can solve simultaneously;

b = 1 + a; Substitute this into 1

a + 1 + a = 13

2a + 1 = 13

2a = 13-1

2a = 12

a = 12/2

a = 6

b = a + 1 = 6 + 1 = 7

The numbers are 6 and 7 while 6 is the smaller number

B.Let the number be x

Divide by 5; x/5, then subtract 2 , we get 25

x/5 - 2 = 25

x/5 = 25 + 2

x/5 = 27

x = 5 * 27

x = 135

Answer:

4 days

Step-by-step explanation:

77+30=107

400/107=3.73

Answer: 192,000

Step-by-step explanation:

Answer:

x = 0 hopefully this helps

Answer:

Hey there!

6 is an integer, whole number, and real number.

Let me know if this helps :)

Answer:

92.44 + 1.39 = $93.83

Step-by-step explanation:

Since it was reduced by a certain amount, simply, add it back!

Answer:

x = 22

Step-by-step explanation:

same- side exterior angles are supplementary, thus

4x + 15 + 3x + 11 = 180, that is

7x + 26 = 180 ( subtract 26 from both sides )

7x = 154 ( divide both sides by 7 )

x = 22

Answer:

[tex]m=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4x-20=mx-5m[/tex]

First, factor out a m from the right:

[tex]4x-20=m(x-5)[/tex]

Divide both sides by x-5:

[tex]m=\frac{4x-20}{x-5}[/tex]

Factor out a 4 in the numerator:

[tex]m=\frac{4(x-5)}{x-5}[/tex]

The (x-5)s cancel. Thus:

[tex]m=4[/tex]

The value of m is 4 :)

Answer:

m = -1

Step-by-step explanation:

Solve for m:

5 (m - 7) = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

Answer:

Angle E is 43 degrees.

Step-by-step explanation:

So we know that AB is parallel to CD.

We also know that Angle CHF is 119 degrees and that Angle B is 18 degrees.

First, let's find Angle DHF. It is the supplementary angle to Angle CHF. Thus, they must total 180:

[tex]\angle DHF+\angle CHF=180[/tex]

We already know that Angle CFH is 119. Substitute:

[tex]\angle DHF+119=180[/tex]

Subtract 119 from both sides:

[tex]\angle DHF=61[/tex]

Therefore, Angle DHF is 61 degrees.

Since Angle DHF is 61 degrees, then angle BGH must also be 61 degrees. This is because they are corresponding angles, and corresponding angles have the same measure.

Also, Angle BGE is the supplementary angle to Angle BGH. In other words:

[tex]\angle BGE+\angle BGH=180[/tex]

Find Angle BGE. Substitute 61 for BGH:

[tex]\angle BGE+61=180[/tex]

Subtract 61:

[tex]\angle BGE=119[/tex]

So, angle BGE is 119 degrees.

Recall that a triangle's interior angles sum to 180. This means that Angle B plus Angle BGE plus Angle E must equal 180. Thus:

[tex]\angle B+\angle BGE+\angle E=180[/tex]

Substitute 18 for B and 119 for BGE. Thus:

[tex]18+119+\angle E=180[/tex]

Add:

[tex]137+\angle E=180[/tex]

Subtract:"

[tex]\angle E=43\textdegree[/tex]

And we're done!

Remarks:

I just realized that you can just use the fact that alternate exterior angles have the same measures to figure out that BGE is equivalent to CHF. Regardless, we will arrive at the same answer :)

Answer:

30

Step-by-step explanation:

-3x2x=-6x, 8x-6x+12= 3x-18

30=x

Answer:

supplementary and straight

Step-by-step explanation:

1. angle D and angle B add up to make a 180 degree angle so they are supplementary.

2. A and C each equal 180 degrees (straight angle= 180 degrees)

D. supplementary angles, C. right angle ,B. straight angle

Answer:

I and II only

Step-by-step explanation:

Answer:{d,t}={187, 17/2}

Step by step explanation :

System of Linear Equations entered :

[1] d - 18t = 34

[2] d - 22t = 0

Graphic Representation of the Equations :

-18t + d = 34 -22t + d

Solve by Substitution :

// Solve equation [2] for the variable d

[2] d = 22t

// Plug this in for variable d in equation [1]

[1] (22t) - 18t = 34

[1] 4t = 34

// Solve equation [1] for the variable t

[1] 4t = 34

[1] t = 17/2

// By now we know this much :

d = 22t

t = 17/2

// Use the t value to solve for d

d = 22(17/2) = 187

Answer:

[tex]d=52\\t=\frac{26}{11}[/tex]

Step-by-step explanation:

1 solve for d in d =18+34

solve for d

[tex]d=18+34[/tex]

Simplify 18+34  to  52

[tex]d=52[/tex]

2 substitute d=52 into d=22t

Start with the original equation

[tex]d=22t[/tex]

Let d=52

[tex]52=22t[/tex]

3 Solve for t in 52=22t

Solve for t

[tex]52=22t[/tex]

Divide both sides by 22

[tex]\frac{52}{22} =t[/tex]

Simplify  [tex]\frac{52}{22}[/tex][tex]to \frac{26}{11}[/tex]

[tex]\frac{26}{11} =t[/tex]

Switch sides

[tex]t=\frac{26}{11}[/tex]

​4 Therefore

[tex]d=52\\t=\frac{26}{11}[/tex]

Answer: Answer

Step-by-step explanation: The domain of a function is all possible set inputs for a function. For example, if the function was {(10, 20), (10, 50), (11, 30)}, then the domains would be 10 and 11. Basically it is the first x value of each set.

Answer:

20(x)=75

Step-by-step explanation:

x= unknown number

product= multiplication equation

Answer:

it is equal to10

Step-by-step explanation:

people often ask me why i be drippin its cus im a gunna

Answer:

Step-by-step explanation:

[tex]f(x)=\sqrt{25-x^2}\\\\f(3)=\sqrt{25-3^2}=\sqrt{25-9}=\sqrt{16}=4[/tex]

Answer:

image = A = 35×35

preimage = B = 28×28

Scale factor = image/preimage

=

[tex] \frac{35}{28} \times \frac{35}{28} [/tex]

=

[tex] \frac{5}{4} \times \frac{5}{4} [/tex]

= 25/16

=

Answer:

Step-by-step explanation:

The frame is rectangular in nature, to determine a reasonable value for how much wall space the portrait will cover, we will take the area of the frame.

Given

Length of the frame = 45in

Width of the frame = 37in

Required

Area of the frame

Area of the rectangular frame = Length * Breadth

Area of the rectangular frame = 45in * 37in

Given 1feet = 12in

45in = 45/12 ft=  3.75ft

37 in = 37/12 ft = 3.083 ft

Area of the frame = 3.75ft * 3.083 ft

Area of the frame = 11.56ft²

Area of the frame ≈ 12ft²

Answer:

2 * 10 + 6 * .1 + 5 * .01

Step-by-step explanation:

Answer:

[tex] \frac{5}{8} \frac{17}{24} [/tex]

[tex] \frac{15}{24} \frac{17}{24} [/tex]

The answer is A

Answer:

A

Step-by-step explanation:

Answer:

6

Explaination:

r^3=216

r= cuberoot(216)

r= cuberoot(6x6x6)

r=6

Answer:

a = -3

Step-by-step explanation:

a − 2 + 3 = −2

Combine like terms

a+1 = -2

Subtract 1 from each side

a+1-1 = -2-1

a = -3

Answer:

a-2+3=-2

a+1=-2

a=-2-1

a=-3

Answer:

The answer is A. 2

Step-by-step explanation:

The data values 8 - 10 is 2 because there are only 9 and 10.

Hope it helps :)

Answer:

5 × 10 ^ -6

to get the answer move the decimal in 0.000005 to 5 which 6 place forward

which can also be written as 5 × 10 ^ -6

hope it helps

5×10- 6

Step-by-step explanation:

because we are converting decimal into scientific notation

Answer:

7.05 simplified rational

Answer:

irrational number

Step-by-step explanation: