Find all the whole values of a for which the solution of the equation ax = 6 is a whole number.

Answer:

x = 75

y = 105

Step-by-step explanation:

Remark

You can find y in two different ways.

One

You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or

Two

You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.

Solution

One

y = 60 + 45

y = 105                       Answer

Two

x + 60 + 45 = 180      All triangles have 180 degrees. Solve for x.

x + 105 = 180             Subtract 105 from both sides

x = 180 - 105              Combine

x = 75                         Find an equation that relates x and y

x + y = 180                 x and y are supplementary they add to 180

75 + y = 180               Subtract 75 from both sides.

y = 180 - 75                Combine

y = 105

Answer:24%

Step-by-step explanation:

Step 1: We make the assumption that 50 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100\%=50.

Step 4: In the same vein, x\%=12.

Step 5: This gives us a pair of simple equations:

hope this helps

Answer:

41.1

Step-by-step explanation:

The number will be cut off after the digit you are rounding off to.

Rewrite the number, but stop at the 0.

41.0

Now you need to decide if the 0 stays as 0 or if it goes up to 1.

When the next digit is from 5 to 9, the last digit you keep goes up 1. When the next digit is 0 through 4, the last digit you keep stays as it was.

Since the first digit that was dropped is a 7, the 0 goes up one unit to 1.

Answer: 41.1

Answer:

41.1

Step-by-step explanation:

If we are rounding at the 0, we have to look at the next digit, which is 7.  

Since 7>=5, we will round up.  Zero becomes a 1

41.073  becomes 41.1

The value of 'a' when (a, -8) is a solution to the equation -a = 4b - 7 is '39'.

If we have the point (a, -8) as a solution to the equation -a = 4b - 7, and we're given the value of b from the point, which is -8, we can substitute this value into the equation to find 'a'.

Substituting b = -8 into the equation gives us:

-a = 4(-8) - 7

-a = -32 - 7

-a = -39

Now, we can solve for 'a' by multiplying both sides by -1 to get:

a = 39

Therefore, the value of 'a' is 39.

Answer:

(3, -1)  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Answer:

there's 33 rabbits and 4 hutches

Step-by-step explanation:

8 x 4 = 32 plus the one left over

11 x 3 = 33 with and extra hutch

Answer:

33 rabbits and four hutches

Step-by-step explanation:

;)brainliest?

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60

    +3         +3

3x = 6x - 57

     - 6x

- 3x = -57

= 19

Answer:

Step-by-step explanation:

[tex](3x-3)^{0} =\left[6(x-10)] ^{0}\\[/tex] (opposite angle)

[tex]3x-3=6(x-10)\\ 3x-3=6x-60\\ 60-3=6x-3x\\ 57=3x\\ \frac{57}{3} =x\\ 19=x[/tex]

To find the expression for the cost of low-energy lamps and high-energy lamps, use the expressions 4A and 5B respectively. To find the values of A and B that make the total cost equal $120, solve the equation 4A + 5B = 120.

To write an expression for how much the electrician spends on low-energy lamps and high-energy lamps, we can use the following expressions:

Cost of low-energy lamps: 4A

Cost of high-energy lamps: 5B

To complete the table, we need to calculate the values of A and B such that the total cost equals $120. Since all of the $120 is spent, the expression for the total cost would be:

Total cost: 4A + 5B = 120

We can solve this equation to find the values of A and B.

[tex]\mathsf{\heartsuit\;\; (\sqrt{8})^2 = \sqrt{64}}\\\\\mathsf{\heartsuit\;\; [(8)^\frac{1}{2}]^2 = \sqrt{(8)^2}}\\\\\mathsf{\heartsuit\;\; (8)^\frac{2}{2} = [(8)^2]^\frac{1}{2}}\\\\\mathsf{\heartsuit\;\; 8 = [8]^\frac{2}{2}}\\\\\mathsf{\heartsuit\;\; 8 = 8}\\\\\mathsf{\heartsuit\;\; Option\;(A)\;is\;the\;Answer}[/tex]

The number which will make the equation true, when placed in the box is: A. √8.

In order to determine the unknown number, we would assign a variable (x) to the unknown number and then evaluate the resulting algebraic equation as follows:

x² = √64

x² = 8

Taking the square root of both sides, we have:

x = √8.

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Answer:

B

Step-by-step explanation:

All sides have to be equal and add up to be 180 degrees therefore the answer would be 60 because 60 plus 60 plus 60 is 180.

Answer:

B

B is the only answer that adds to 180, the interior angle measures of a triangle.

Answer:

distributive property

Step-by-step explanation:

Distributive property says that x(y + z) = (x*y) + (x *z)

The property used in the given expression is

Distributive property of multiplication over addition.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of multiplication over addition states that,

a(b + c) = a x b + a x c

Now,

3(4 + 5) = (3 x 4) + (3 x 5)

This is the Distributive property of multiplication over addition.

Thus,

The property of distributive multiplication over addition is used.

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Answer:

21

Step-by-step explanation:

Considering it's concept, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.

The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.

In this problem, the function is given by:

y = 2x + 3.

The y-intercept is given by:

y = 2(0) + 3 = 3.

Hence, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.

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If x and y are proportional, then y : a = constant.

[tex]\dfrac{y}{x}=a\to y=ax[/tex] ← the equation

We have y = 19x - 5. It's not a proportional.

Answer:

The value of x is 68 degrees!

Step-by-step explanation:

In this question, we have an isosceles triangle because of Base Angles Theorem. The 2 sides are congruent, which means its an isosceles and that the Base angles are congruent. So far, we know that 2 angles are equal to 112 degrees. Due to Sum Angles Theorem, we can go 180-112 to get 68 degrees!

Answer:

x=68

Step-by-step explanation:

Since this is an isosceles triangle, the bottom two angles are the same value, 56 degrees.  The three angles of a triangle add to 180 degrees.

56+56+ x = 180

Combine like terms

112 +x = 180

Subtract 112 from each side

112-122 +x = 180 -112

x =68

Answer:

2x- 3y = - 6

Step-by-step explanation:

given [tex]\frac{1}{2}[/tex] y - [tex]\frac{1}{3}[/tex] x - 1 = 0

multiply all terms by 6 to eliminate the fractions

3y - 2x - 6 = 0 ( multiply all terms by - 1 )

- 3y + 2x + 6 = 0 ( subtract 6 from both sides )

2x - 3y = - 6 ← in standard form

Answer:

y = 5/18

Step-by-step explanation:

50/90-y=5/18

Lets simplify our fractions

50/90 = 5/9  (divide top and bottom by 10)

5/9 - y = 5/18

Subtract 5/9 from each side

5/9 -5/9 -y = 5/18 - 5/9

-y = 5/18 - 5/9

We need to get a common denominator of 18

-y = 5/18 - 5/9 *2/2

-y = 5/18 -10/18

-y = -5/18

Multiply each side by -1

-1*-y = -5/18 * -1

y = 5/18

Answer: The mirror will fit because the height of the mirror is 4 feet.

Step-by-step explanation:

we just divide 15 by 3 3/4 and get the answer of 4.

Yes, the mirror will fit on the wall because its height is approximately 4.25 feet, which is less than the 5-foot tall space on the wall.

To determine whether the mirror will fit, we need to calculate its height. Since the area of a rectangle is given by the formula Area = Height × Width, we can find the height by rearranging the formula to Height = Area ÷ Width.

The given area of the mirror is 15 15/16 square feet and the given width is 3 3/4 feet.

After performing the division, we get the height of the mirror to be approximately 4.25 feet.

Since the space on the wall is 5 foot tall and the height of the mirror is less than this, the mirror will fit on the wall. So, the answer is: Yes, it will fit because the height is 4.25 feet.

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To find the number of seconds in m minutes, you can multiply m by 60. The numerical expression is 60m and the variable expression is 'm * 60.'

To write a numerical or variable expression for the quantity 'the number of seconds in m minutes,' we need to know the conversion rate between minutes and seconds. There are 60 seconds in 1 minute. So, to find the number of seconds in m minutes, we can multiply m by 60.

The numerical expression would be 60m.

The variable expression would be 'm * 60.'

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Expanding, you get 6(3c) - 6(5d) + 6(6) = 18c - 30d +36

Answer:

18c - 30d +36

Step-by-step explanation:

6(3c - 5d +6)

When we use the distributive property, we distribute the 6 to all the terms inside the parentheses

6*3c - 6*5d +6*6

18c - 30d +36

Answer:

The solution is the point (6,-8)

Step-by-step explanation:

we have that

The first equation is [tex]y=(1/3)x-10[/tex] instead [tex]y=x-10[/tex]

[tex]y=(1/3)x-10[/tex] -----> equation A

[tex]2x+y=4[/tex] -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

[tex]2x+[(1/3)x-10]=4[/tex]

[tex](7/3)x=14[/tex]

[tex]x=6[/tex]

Find the value of y

[tex]y=(1/3)(6)-10=-8[/tex]

therefore

The solution is the point (6,-8)

It's the triangle 30° - 60° - 90°.

The sides are in proportion 1 : √3 : 2 (look at the picture).

Therefore we have:

[tex]x=\dfrac{\sqrt6\cdot\sqrt3}{2}=\dfrac{\sqrt{(6)(3)}}{2}=\dfrac{\sqrt{18}}{2}=\dfrac{\sqrt{(9)(2)}}{2}\\\\=\dfrac{\sqrt9\cdot\sqrt2}{2}=\boxed{\dfrac{3\sqrt2}{2}}[/tex]

Answer:

ok

Step-by-step explanation:

Answer:

400 originally, and 50 dollars a week from there!!

Step-by-step explanation:

Since the 50 is followed by the variable "w", and the w stands for week, we can believe that Jenny makes 50 dollars a week.

Because the 400 was in the her account to begin with, we know this is the amount she originally had!

Final answer:

Sasha has read approximately 64.66% of the novel by dividing the number of pages she read (276) by the total number of pages (427), and then multiplying the result by 100.

Explanation:

To find out what percentage of the novel Sasha has read, we need to use the formula for percentage:
Percentage = (Part / Whole) × 100

Sasha has read 276 pages of a 427-page novel. So, in this case, the part is 276, and the whole is 427.

Now we calculate:

Let's do the math:

Therefore, Sasha has read about 64.66% of the novel.

Answer:

The answer would be c)85 FEET

Step-by-step explanation:You start with the deepest section(-135) and add the shallowest point(50). the result is an 85 foot difference.

Answer:  c 85ft

Step-by-step explanation:

[tex]7-\dfrac{1}{5}x>0\qquad\text{subtract 7 from both sides}\\\\-\dfrac{1}{5}x>-7\qquad\text{change the signs}\\\\\dfrac{1}{5}x<7\qquad\text{multiply both sides by 5}\\\\\boxed{x<35}[/tex]

Answer:

I think I might be terribly wrong but 160,728 ft

Step-by-step explanation:

Answer:

503

Step-by-step explanation:

To find the area of a cirlce it is pi x 2 x the radius squared.

Since,this is a semi-circle you dived by 2 afterwards.

So [tex]\pi x 160 x 2 /2[/tex] is 502.857142857

Round that to the nearest one that is 503 ft squared.

When multiplying terms with exponents, just add the exponents together.

You have x^7 and x^4, so 7 +4 = 11

Y^2 and Y^5 = 2+5 = 7

so it would be -20x^11 y^7

The answer is A.) a=11, b=7