Name an equivalent ratio for One-half with a denominator of 8.
a. 4 Over 8
c. 5 Over 8
b. 1 Over 8
d. 3 Over 8

Answer:

1.3

Step-by-step explanation:

8 divided by 6 = 1.3

BRAINLIEST PLEASE

Answer:

1.3

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

2670

Step-by-step explanation:

4500/300 = 15

178*15=2670

Answer:

$50

Step-by-step explanation:

Answer:

(1) 4x + 28 (2) 18x- 27

Step-by-step explanation:

the first question 4(x + 7) can be simplified by multiplying the number outside the parenthesis (4) by both of the values inside:

4x + 28 or the last answer choice

in the second question you can use the same method:

9 (2x) = 18x

9 ( -3) = -27

therefore the correct answer choice is 18x - 27

hope this helps :)

it can be 60,100 or 50,100

Answer:

The correct answer is $1,500

Step-by-step explanation:

hope this helps

Answer:

\(\boxed {c= 18.84 \ m}\)

\(\boxed {a=28.26 \ m^2}\)

Step-by-step explanation:

We are asked to find the circumference and area of a circle with a radius of 3 meters.

The circumference is the perimeter of a circle. It is calculated using the following formula:

\(c= \pi d\)

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.

The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

\(c= (3.14)(6 \ m )\)

Multiply.

\(\bold {c= 18.84 \ m}\)

The area is the size of the circle's surface. It is calculated using the following formula.

\(a= \pi r^2\)

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

\(a= (3.14)(3 \ m)^2\)

Solve the exponent.

\(a= (3.14)(9 \ m)^2\)

\(\bold {a=28.26 \ m^2}\)

The circumference is 18.84 meters and the area is 28.26 square meters.

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

4

This figure has 4 lines of symmetry.

Answer:

1300 ppl

Step-by-step explanation:

35%  = .35 in decimal

.35 x =455

x = 455/.35 = 1300 ppl

Answer:

it cant be simplified

Step-by-step explanation:

Answer:

1 5/26 i used a calculator

Answer:

Step-by-step explanation:

w

Answer:

28.2 gal

$3.12/gal

Step-by-step explanation:

Length of trip:

14,108.6 mi - 13,487.8 mi = 620.8 mi

(620.8 mi)/(22 mpg) = 28.218 gal

She used 28.2 gallons.

price per gallon = $88.04/(28.218 gal) = $3.12/gal

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

c≈15.07

Step-by-step explanation:

c=a2+b2=11.12+10.22≈15.07481

Answer:

We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:

A = Pe^(rt)

where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

Substituting the given values, we get:

A = $600.00e^(0.05*1)

Using a calculator, we get:

A ≈ $632.57

Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.

The statement that " Homogeneous equation Ax = 0 has trivial solution if it has at least 1 free variable"  is FALSE .

For a system of Linear Equations, a free variable is a variable which can take any value, whereas

the Leading Variable is a variable which is determined by the values of the free variables.  

The presence of a free variable means that existence of a non trivial solution to Ax = 0  because a free variable corresponds to a column of A that does not contain a pivot position in the corresponding row of [A|0].

So , the corresponding variable can be set to any non zero value, which gives a non trivial solution to Ax = 0.

Therefore, we can conclude that the homogeneous equation Ax = 0 has the trivial solution if and only if the equation has no free variables.

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The given question is incomplete , the complete question is

The homogeneous equation Ax = 0 has the trivial solution if and only if the equation has at least one free variable. True or False ?

Answer:

13, 14

Step-by-step explanation:

The pattern is add 1, add 2, add 1, add 2

13 , 14 are the next 2 numbers in the sequence.

Answer:

D. 5 units

Step-by-step explanation:

To work out the length use formula:

\(length = \sqrt{(y₂-y1) {}^{2} + (x₂-x1) {}^{2}} \)

length of AB:

\(AB = \sqrt{( - 4 - 5) {}^{2} + ( - 6 - ( - 2)) {}^{2} } = \sqrt{97} \)

length of AC:

\(AC = \sqrt{( - 7 - 5) {}^{2} + ( - 2 - ( - 2)) {}^{2} } = 12\)

length of BC:

\(BC = \sqrt{( - 7 - ( - 4)) {}^{2} + ( - 2 - ( - 6)) {}^{2} } = 5\)

as you can see BC has the shortest side of 5 units

Answer:

The two numbers of rolls are 25.2 and 46.8.

Step-by-step explanation:

The Chebyshev's theorem states that, if X is a r.v. with mean µ and standard deviation σ, then for any positive number k, we have  

\(P (|X -\mu| < k\sigma) \geq (1-\frac{1}{k^{2}})\)

Here

\((1-\frac{1}{k^{2}})=0.75\\\\\Rightarrow \frac{1}{k^{2}}=0.25\\\\\Rightarrow k=\sqrt{\frac{1}{0.25}}\\\\\Rightarrow k=2\)

Then we know that,

\(|X - \mu| \geq k\sigma,\\\\ \Rightarrow \mu - k\sigma \leq X \leq \mu + k\sigma\).

Here it is given that mean (µ) = 36 and standard deviation (σ) = 5.4.

Compute the two values between which at least 75% of the contestants lie as follows:

\(P(\mu - k\sigma \leq X \leq \mu + k\sigma)=0.75\\\\P(36 - 2\cdot\ 5.4 \leq X \leq 36 + 2\cdot\ 5.4)=0.75\\\\P(25.2\leq X\leq 46.8)=0.75\)

Thus, the two numbers of rolls are 25.2 and 46.8.

100+2y = 180

2y=180-100

2y=80

y=40

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

Answer:

800

Step-by-step explanation:

The Answer Is 8,000,000 Because

8×2 16 so 8,000,000 × 2=16,000,000

Answer:

297.84 miles

Step-by-step explanation:

176 miles in 13 hours is 13.5 miles per hour

13.5 * 22 = 297.84

Answer:

\( \frac{ {6}^{7} }{ {6}^{3} } = {6}^{7 - 3} = {6}^{4} \)

a. The explanation of the equation 5x-13=12 is a number is multiplied by five, reduced by thirteen, and the result is twelve.

b. The solution of the equation is 5.

Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations.

It demonstrates the equality of the expressions printed on the left and right sides.

LHS = RHS (left hand side = right hand side) is the formula used in all mathematical equations.

To determine the value of an unknown variable that stands in for an unknown quantity, equations can be solved.

A statement is not an equation if there is no "equal to" sign.

That will be regarded as a term.

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Answer: 0.68

Step-by-step explanation:

given data:

ABC market share = 30%

number of customers surveyed = 800

probability that more than 32% prefers ABC

Solution:

32% of 800

= 256 persons

p ( x ≥ 256 )

= 1 - ( 256/800 )

= 1 - 0.32

= 0.68

the probabiliy that more than 32% of those who carried out the survey would prefer ABC brand is 0.68.

Answer:

8 nachos and 5 hot dogs

Step-by-step explanation:

Let x equal number of nachos

let y equal number of how dogs

1.5x + 2y = 22

x + y = 13

y = 13 - x

1.5x + 2(13 - x) = 22

1.5x + 26 - 2x = 22

1.5x - 2x = 22 - 26

-0.5x = - 4

x = -4/-0.5

x = 8

y = 13 - x

y = 13 - 8

y = 5

Answer:1,200,000

Step-by-step explanation: