The football team is selling gift cards in increments of
$25 and $50. If they sold $6,000 worth of gift cards
which equation could be used to determine how many
$50 gift cards, g, were sold if 180 gift cards were sold in
the $25 amount?

Answer:

x=29

z=13

<RIG= 59°

<ZIM=31°

(vertically opposite angles)

<ZIA=<MIG

3x-56=x+2

group like terms

3x-x=56+2

2x=58

divide both side by the coefficient of x

2x/2=58/2

x=29

<RIG+<GIM=90°

4z+7+x+2=90°

where x=29

4z+7+29+2=90°

4z+38=90°

make for 4z the subject

4z=90°-38°

4z=52°

let z stand alone

4z/4=52/4

z=13

<RIG=4z+7

where z=13

4(13)+7

52°=RIGZ

<ZIM=x+2

where x =39+2

x=31°

Answer:

x = 29

z = 13

Angle RIG = 59 deg.

Angle ZIM = 41 deg.

Step-by-step explanation:

So we know that angle ZIA = angle MIG

3x - 56 = x + 2

We can solve this equation

2x = 58

x = 29

Next, angle RIG + GIM = 90 degrees.

So if we do 4z + 7 + x + 2 = 90 degrees when x = 29, we can plug x in.

4z + 7 + 29 + 2 = 90 degrees

4z + 38 = 90 degrees

4z = 90 - 38

4z = 52

z = 13

Angle RIG = 4z + 7

We know that z = 13

4 * 13 + 7 = 52

Therefore RIGZ = 52 degrees.

Angle ZIM = x + 2

x = 39 + 2

x = 41

Answer:

here :)

Step-by-step explanation:

The probability of not drawing a queen from a standard deck of 52 cards is 12/13

In a standard deck of 52 cards, we have

Total number of cards = 52

Queen cards = 4

The probability of not drawing a queen from a standard deck of 52 cards is calculated as

P = 1 - P(Queen)

Where

P(Queen) = Queen cards/Total number of cards

So, we have

P(Queen) = 4/52

Substitute P(Queen) = 4/52 in the equation P = 1 - P(Queen)

This gives

P = 1 - 4/52

Evaluate the difference

P = 48/52

Simplify

P = 12/13

Hence, the probability of not drawing a queen from a standard deck of 52 cards is 12/13

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

Answer:

12/13

Step-by-step explanation:

Got it right on the test.

The value of the discount d is given by   [tex]\\\\d=1-\frac{C}{P}[/tex]  .

A reduction in price that is often offered for early or quick payment or to a select group of customers is called discount.

Given expression for the Profit , cost price and discount as

[tex]or, C = P(1-d)[/tex]

Here d is the discount , P is the profit and C is the cost price.

Now solving the equation for d we get:

[tex]or, C = P(1-d)\\\\or,\frac{C}{P} =1-d\\\\or, d+\frac{C}{P}=1\\\\or, d=1-\frac{C}{P}[/tex]

Hence the expression for calculating the discount d is given by

[tex]\\\\d=1-\frac{C}{P}\\[/tex] .

To learn more about discount visit:

https://brainly.com/question/3541148

#SPJ9

200 elements are required to be in the sample.

The sampling interval is the frequency with which data is collected. The sampling interval is computed by the division of the total population size by the required sample size.

So, from the information given:

The elements that are required to be in the sample i.e. the sample size (n) can be computed by using the formula:

[tex]\mathbf{i = \dfrac{N}{n}}[/tex]

[tex]\mathbf{ n= \dfrac{N}{i}}[/tex]

[tex]\mathbf{ n= \dfrac{1000}{5}}[/tex]

n = 200 elements.

Therefore, we can conclude that 200 elements are required to be in the sample.

Learn more about sampling intervals here:

https://brainly.com/question/28202337

#SPJ4

Answer:

Step-by-step explanation:

answer is $100.00 is original price

40% of 100 = $90

The diagonal of the parallelogram be 10 cm or 8 cm.

A parallelogram is just a quadrilateral with two parallel sides (and therefore opposite angles equal).

For the given case.

The sides of the 3  cm and 5 cm. As, these two side are the adjacent sides of the parallelogram, the diagonal formed will be the closing side of the triangle.

As, the diagonal is the longest side of the triangle, thus its value must be greater than other side.

This is possible with the diagonal values of 10 cm and 8 cm.

Thus, 10 cm and 8 cm are the correct values for the diagonal of parallelogram.

To know more about the parallelogram, here

https://brainly.com/question/970600

#SPJ9

The distance between the given two points is 25.

To learn more about distance, visit :

brainly.com/question/13954458

#SPJ9

Answer:3x7

Step-by-step explanation:Area is width x length. So 3x7.

The principal for the loan is $27,890.

The total amount of interest to be paid on the loan, at a rate of 5.25% after 66 months is $8053.24

The principal is the amount of money to be paid for the automobile which is $27,890.

from simple interest formula = ( principal * time * rate ) / 100

given data

principal = $27,890

time =  66 months

rate = 5.25%

converting the time to years gives

time = 66 / 12

time = 5.5 years

simple interest = ( 27 890 * 5.5 * 5.25 ) / 100

simple interest = 805 323.75 / 100

simple interest = $8053.24

We can therefore say that the amount of interest paid on the loan at a rate of 5.25% after 66 months is $8053.24

Read more on simple interest here: https://brainly.com/question/20690803

#SPJ1

Answer:

1/16

in decimal form it is:

0.0625

Step-by-step explanation:

Answer:

4680°/28 = 167.14°

Step-by-step explanation:

So, for a polygon with 28 sides, the sum of the measures of the interior angles is 26(180°) = 4680°. Since the polygon is regular, each interior angle has the same measure. So, the measure of each interior angle = 4680°/28 = 167.14°

Answer:

hdshsjjkksjsjskskwiisiw

A triangle having two sides of lengths 10 and 14 will have the third side length less than 24.

As per the question statement, We are given a triangle that has two sides of lengths 10 and 14 and we are asked about the length of the third side.

Before solving the question, we should be well aware of the the theorem of triangle side sum property.

"According to the "sum of sides of a triangle rule," any two triangle sides' sums must be bigger than the length of the third side."

The sum of length of two sides are = [tex]10+14=24[/tex]

Hence the length of third side has to be less than 24 as per the theorem.

To learn more about triangles and its properties, click on the link given below:

https://brainly.com/question/8476788

#SPJ9

All the above statements are proved using proof by contraposition.

Proof by contrapositive, also known as proof by contraposition, is an inference technique used in mathematics where a conditional statement's contrapositive is used to infer the conditional statement's conclusion. To put it another way, the conclusion "if A, then B" is inferred by building a proof of the claim "if not B, then not A" instead. This method is frequently chosen if the contrapositive is more straightforward to establish than the first conditional statement.

The term "contraposition" describes a proving strategy known as "proof by contraposition," which involves drawing an inference from a conditional statement to its logically equivalent contrapositive. The antecedent and consequent of a sentence are inverted and flipped in the contrapositive.

To know more about contraposition, visit:

https://brainly.com/question/5306301

#SPJ4

Answer:

GH = 1

Step-by-step explanation:

Finding the value of x,

→ FG + GH = FH

→ 2x + x - 1 = 5

→ 3x = 5 + 1

→ x = 6/3

→ [ x = 2 ]

Now the value of GH is,

→ GH = x - 1

→ GH = 2 - 1

→ [ GH = 1 ]

Hence, the value is 1.

I am writing this because the app says the answer is to short

Answers are in bold

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

Explanations:

Answer:

first option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (3, - 4 )

m = [tex]\frac{-4-4}{3-1}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4 , then

y = - 4x + c ← is the partial equation

to find substitute either of the 2 points into the partial equation

using (1, 4 ) , then

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = - 4x + 8 ← equation of line

Answer:

A

Step-by-step explanation:

Substitute in the equation remove each x and put 1 if the result is 4 that's mean it's the true equation

The value of x from the given expression is 10

Linear function are functions that has a leading degrees of 1. Given the expression below;

(8x+10)=(6x+30)

Collect the like terms

8x - 6x = 30 - 10

2x = 20

Divide both sides by 2

2x/2 = 20/2

x = 10

Hence the value of x from the given expression is 10

Learn more on linear equation here: https://brainly.com/question/2030026

#SPJ1

Technically efficient, is what pizza parlor is but not allocatively efficient nor economically efficient

What is meant by Technical efficiency? Give an example.

The effectiveness with which a several  set of inputs is employed to generate an output is called as technical efficiency. Technical efficiency refers to a company's ability to generate the highest amount of output from the least amount of inputs, such as labor, capital, and technology.

Technical effectiveness eliminates the wants  for resource unemployment.

Consider the following example : Using its present staff and robot count, a company manufactures 300 automobiles every week. if 320 was the highest possible output.

The company's technical efficiency rate is (300/320) = 93.75%.

In this example , certain employees and factor inputs are underutilized, and some potential production is lost.

To learn more about technical effectiveness :

brainly.com/question/15368000

#SPJ4

Answer:

by comparing the two triangles,

we take the ratio of each side to be equal

Step-by-step explanation:

By comparing the sides of the triangles,

we take the ratio of each sides to each other

de/cb = fe/ca

de.ca = fe.cb

fe = (de.ca)/cb

fe = (7* 18)/14

fe = 9

The measure of side FE of triangle DEF is FE = 9

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ABC

Now , let the second triangle be DEF

And triangle ABC and DEF are similar triangles

So , corresponding sides of similar triangles are in the same ratio

And , AE = EB and CF = FB

From the similar triangle theorem ,

EF / AC = DE / CB

Substituting the values in the equation , we get

EF / 18 = 7 / 14

Multiplying by 18 on both sides of the equation , we get

EF = ( 7 x 18 ) / 14

EF = 18/2

EF = 9

Therefore , the value of EF is 9

Hence , the measure of side EF is 9

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

The answer to the given question is b²/a²

The power of a number tells us how many times that number must be multiplied. Exponents and indexes are other names for powers. For instance, 8² denotes "8 squared," "8 squared," or just "8 squared."

A power is just an expression that denotes repeatedly multiplying the same number or factor. The exponent value depends on how frequently the base has been multiplied by itself.

For instance, 8 x 8 x 8 x 8... times is 8. The phrase 8n above is pronounced as 8 raised to the power n. As a result, exponents are also sometimes referred to as power or indices.

a⁷ b² a⁻⁹

= a⁽⁷⁻⁹⁾ b²

= a⁻² b²

= b² / a²

Therefore, The value of the given equation is b²/a²

Learn more about Power here

https://brainly.com/question/847241

#SPJ9

Answer:

3,321

Step-by-step explanation:

1-0.19=0.81

4100*0.81=3,321

3,321 students went on the trip.

Hope this helps!

Please mark as brainliest if correct!

Answer: 30 degrees ==> C

Step-by-step explanation:

y+150=180 ==> 150 is the alternate interior angle of angle y's supplementary angle. So, these two angles add up to 180.

y=30 degrees ==> C

Examples of each type of number are shown:

(A) A real number between √13 and √14:

(B) An irrational number between 5 and 7:

Therefore, examples are:

Know more about real numbers here:

https://brainly.com/question/155227

#SPJ9