help asap math question

The value of x from the given figure is 8/3

The sum of all the ides of the parallelogram is perimeter. According to the given figure;

2(3x-8)+2(16) = 32.2

Expand to have:

6x-16 + 32 = 32.2

6x + 16 = 32.2

Subtract 16 from both sides

6x = 16

x = 16/6

x = 8/3

Hence the value of x from the given figure is 8/3

Learn more on perimeter of figure here: https://brainly.com/question/27405967

#SPJ1

Answer:

Step-by-step explanation:

Answer:

[tex]{ \tt{( \frac{ - 4}{9} \times \frac{63}{28}) - ( \frac{33}{66} \times \frac{ - 51}{17} ) + ( \frac{5}{8} \times \frac{4}{10)} }} \\ \\ = { \tt{( \frac{ - 4}{28} \times \frac{63}{9}) - ( \frac{1}{2} \times \frac{ - 3}{1} ) + ( \frac{5}{10} \times \frac{4}{8} )}} \\ \\ { \tt{ = ( - 1) - ( - \frac{3}{2} ) + ( \frac{1}{4}) }} \\ \\ = { \tt{ \frac{3}{4} }}[/tex]

Answer:

[tex]\sf \dfrac{3}{4}[/tex]

Step-by-step explanation:

Given expression:

[tex]\implies \sf \left(\dfrac{-4}{9} \times \dfrac{63}{28}\right)-\left(\dfrac{33}{66} \times \dfrac{-51}{17}\right)+\left(\dfrac{5}{8} \times \dfrac{4}{10}\right)[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \times \dfrac{c}{d}=\dfrac{a \times b}{c \times d}:[/tex]

[tex]\implies \sf \left(\dfrac{-4\times63}{9\times28} \right)-\left(\dfrac{33 \times -51}{66 \times 17}\right)+\left(\dfrac{5\times4}{8\times10} \right)[/tex]

Multiply the numbers:

[tex]\implies \sf \left(\dfrac{-252}{252} \right)-\left(\dfrac{-1683}{1122}\right)+\left(\dfrac{20}{80} \right)[/tex]

Reduce the fractions:

[tex]\implies \sf -1-\left(\dfrac{-3}{2}\right)+\left(\dfrac{1}{4} \right)[/tex]

[tex]\textsf{Apply rule}\quad \:a-\left(-b\right)=a+b:[/tex]

[tex]\implies \sf -1+\dfrac{3}{2}+\dfrac{1}{4}[/tex]

Adjust the fractions based on the LCM of 4:

[tex]\implies \sf \dfrac{-4}{4}+\dfrac{6}{4}+\dfrac{1}{4}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]

[tex]\implies \sf\dfrac{-4+6+1}{4}[/tex]

Add the numbers in the numerator:

[tex]\implies \sf \dfrac{3}{4}[/tex]

The volume of the shed ordered by Lorie to hold her gardening supplies is (option a) 1423.5 cubic ft.

Given,

Lorie ordered a shed to hold her gardening supplies.

The length of the shed, l = 18.25 feet

The width of the shed, w = 15 feet

The height of the shed, h = 5 1/5 feet = 26/5 = 5.2 feet

We have to determine the volume of the shed:

From the given data we can assume that the shed is like a cuboid. So to determine the volume, we can use the cuboidal formula.

That is,

Volume = length × width × height

V = l × w × h

V = 18.25 × 15 × 5.2

V = 1423.5 feet

Therefore, the volume of the shed ordered by Lorie to hold her gardening supplies is 1423.5 feet.

Learn more about volume here:

https://brainly.com/question/28172546

#SPJ1

The probability that a person chosen at random uses both internet connections is 1/9

Total number of people = 27

Number of people who use ADSL lines = 16

Number of people who use wireless internet = 15

Number of people who use neither of the two = 3

Let the number of people who use only ADSL lines and wireless internet be denoted by A and B respectively.

Then A + B + A∩B + 3 must be equal to 27

A + B + A∩B = 24

further, we can see that

(A + A∩B) = 16  

B + 16 = 24

B = 8

Also, (B + A∩B) = 15

8+ A∩B = 15

A∩B = 7

Thus, the number of people who use both internet connections = 7

Now, P(A∩B) = 7/27

= 1/9

Hence, probability that a person chosen at random uses both internet connections is 1/9.

Learn more about probability here-

brainly.com/question/25870256

#SPJ9

Cost of a bottle of juice is $ 1.62

Equation for determining the cost of juice is 1.56 + 20x = 33.96

Given,

The cost of a bag of chips = $ 1.56

Number of juice bottles bought by Sarah = 20 pack

Total cost before tax = $ 33.96

Cost of one bottle of juice = x

We have to find x:

Then the equation will be:

1.56 + 20x = 33.96

Add -1.56 to both sides:

1.56 + 20x - 1.56 = 33.96 - 1.56

We get,

20x = 32.4

Now find x,

x = 32.4 / 20

Then,

x = 1.62

That is, the equation for finding the cost of a bottle of juice is 1.56 + 20x = 33.96.

The cost of one bottle of juice is $1,62

Learn more about cost here:

https://brainly.com/question/27950511

#SPJ1

[tex]\frac{10.25}{100}[/tex]Answer:

Step-by-step explanation:

The formula for simple interest is: A= P(1+in)

The formula for compound interest is: A=P[tex](1+i)^{n}[/tex]

A= amount after added interest

P= initial amount invested

i= interest rate

n= number of periods (in this case its 7 years)

*REMEMBER THIS FORMULA

a) A=0

P=?

i=10,25

n=7

(simple interest)

a) A= 0 (1 +[tex]\frac{10.25}{100}[/tex] ×7)

=0

b) A=2 000 (1 + [tex]\frac{10.25}{100}[/tex] ×7)

A=3435

c) A= 3 000( 1 + [tex]\frac{10.25}{100}[/tex] ×7)

A= 5152.5

d) 5000(1 + [tex]\frac{10.25}{100}[/tex] ×7)

= 8587.5

It's just a matter of substitution. I hope this helped.

Answer:

(a) $668.39

(b) $634.93

(c) $618.20

(d) $584.74

Step-by-step explanation:

Monthly Payment Formula

[tex]\sf PMT=\dfrac{Pi\left(1+i\right)^n}{\left(1+i\right)^n-1}[/tex]

where:

Given:

Down payment = $0

⇒ P = $39,950

[tex]\implies \sf PMT=\dfrac{39950\left(\dfrac{0.1025}{12}\right)\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}}{\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}-1}[/tex]

[tex]\implies \sf PMT = 668.3892086[/tex]

Therefore, the monthly payment is $668.39.

Down payment = $2,000

⇒ P = $39,950 - $2,000 = $37,950

[tex]\implies \sf PMT=\dfrac{37950\left(\dfrac{0.1025}{12}\right)\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}}{\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}-1}[/tex]

[tex]\implies \sf PMT = 634.9279215[/tex]

Therefore, the monthly payment is $634.93.

Down payment = $3,000

⇒ P = $39,950 - $3,000 = $36,950

[tex]\implies \sf PMT=\dfrac{36950\left(\dfrac{0.1025}{12}\right)\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}}{\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}-1}[/tex]

[tex]\implies \sf PMT = 618.197278[/tex]

Therefore, the monthly payment is $618.20.

Down payment = $5,000

⇒ P = $39,950 - $5,000 = $34,950

[tex]\implies \sf PMT=\dfrac{34950\left(\dfrac{0.1025}{12}\right)\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}}{\left(1+\left(\dfrac{0.1025}{12}\right)\right)^{84}-1}[/tex]

[tex]\implies \sf PMT = 584.735991[/tex]

Therefore, the monthly payment is $584.74.

The point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

In this question we have been given a graph of Skateboards vs. Bikes.

We need to find the point that represents an INEFFICIENT point of production.

Inefficient production means the economy can be producing more goods without using any additional resources.

In given production possibility curve, an INEFFICIENT point of production is point A.

Therefore, the point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

Learn more about Inefficient point of production at:

https://brainly.com/question/14725286

#SPJ1

The expression to illustrate the information when Maria bought the tickets is C = (5 × $20) + ($2 × 5) and the total amount paid is $110.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A mathematical expression shows the value of something by combining numbers, variables, and operators. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.

From the information, Maria bought 5 tickets for $20 each. Each ticket had a $2 fee.

The expression that can be used to illustrate this will be:

C = (5 × $20) + ($2 × 5)

where C = Total cost

C = $100 + $10

C = $110

Therefore the expression to illustrate the information when Maria bought the tickets is C = (5 × $20) + ($2 × 5) and the total amount paid is $110.

Learn more about expressions on:

brainly.com/question/25968875

#SPJ1

The term that explains the relationship between angles C and D is: A. Adjacent angles.

When two angles share a common vertex and a common side, the two angles are referred to as adjacent angles.

In the diagram given, lines JK and JM intersect at point J to form 4 angles of which angles C and D share a common side and a common vertex (point J).

Therefore, the term that explains the relationship between angles C and D is: A. Adjacent angles.

Learn more about the adjacent angles on:

https://brainly.com/question/26768295

#SPJ1

Answer:

A

i took the test and got it right

Answer:

The answer would be 14061.364 grams.

The amount of Alfalfa hay is 385.71 lbs

The amount of Clover is 572.45 lbs.

A percentage is a number or ratio that can be expressed as a fraction of 100.

We have,

Alfalfa hay = 18 % CP

Clover = 4% CP.

The total amount of ration is 600 lbs of a 13% CP.

Let x pounds of alfalfa hay have been used.

The amount of clover will be 600 - x lbs.

The CP amount in 600 lbs mixture will be equal to the sum of CP amounts in x lbs alfalfa and (600 - x) lbs clover.

13% of 600 = 18% of x + 4% of (600 - x)

We need to find x.

13/100 x 600 = 18/100 x (x) + 4/100 x (600 -x)

78 = 18x / 100 + 24 - 4x/100

78 - 24 = 18x/100 - 4x/100

54 = 14x / 100

14x = 54 x 100

x = 5400/14

x = 385.71 lbs

Thus,

The amount of Alfalfa hay= 385.71 lbs

The amount of Clover = 600 - 385.71 = 572.45 lbs.

Learn more about percentages here:

https://brainly.com/question/15974370

#SPJ1

Answer:

How about this: A bag of 8 oranges is $6.50 and you want to know the price per orange? Or how about this:  You have a soda vending machine and each soda is $2.00.  A case of soda (24 cans) costs you $15.00.  You need to know how much the case costs per can to see if you will make a profit.

Step-by-step explanation:

A unit rate is a type of ratio that compares one unit of some quantity to a different number of units of a quantity.

Answer:

true for the first one and also true for the other one.

The area of the composite shape that is given in the image below = 40 in.².

In the diagram given below, the shape can be decomposed into a triangle and a rectangle, since it is composed of both shapes.

Thus:

The area of the composite shape = area of rectangle + area of triangle.

Area of the triangle = 1/2(b)(h)

base = 12 - 7 = 5 in.

height = 5 - 3 = 2 in.

Area of the given triangle = 1/2(5)(2)

Area = 5 in.²

Area of the given rectangle = (l)(w)

length = 7 in.

width = 5 in.

Area of the given rectangle = (7)(5) = 35 in.²

The area of the composite shape given = 35 + 5 = 40 in.².

Learn more about area of composite shape on:

https://brainly.com/question/8408690

#SPJ1

Answer:

$2,482.94

Step-by-step explanation:

[tex]p {e}^{.09 \times 13} = 8000[/tex]

[tex]p = \frac{8000}{ {e}^{.09 \times 13} } = 2482.94[/tex]

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

Reason:

Let's go through the four answer choices to see which are true and which are false. We'll rule out the ones that are true.

Let

[tex]S = \displaystyle \sum_{1\le j<k\le673} z_jz_k[/tex]

and

[tex]p_{\mu,\nu}(x) = (x-z_1)^\mu (x-z_2)^\mu \cdots (x-z_\nu)^\mu[/tex]

The [tex]z_jz_k[/tex] terms occur in the coefficient of the [tex]x^{\mu\nu-2}[/tex] term, given by

[tex]\displaystyle \left[x^{\mu\nu-2}\right] p_{\mu,\nu} = \binom\mu2 \sum_{r=j}^\nu z_j^2 + \mu^2 \sum_{1 \le j < k \le \nu} z_jz_k[/tex]

(essentially due to Vieta's formulas)

With [tex]\mu=3[/tex] and [tex]\nu=673[/tex], we have

[tex]\displaystyle \left[x^{2017}\right] p_{3,673} = \binom32 \sum_{j=1}^{673} z_j^2 + 3^2 S \\\\ ~~~~ \implies S = \frac{19}9 - \frac13 \sum_{j=1}^{673} z_j^2 \\\\ ~~~~ \implies S = \frac{19}9 - \frac13 \left(\left(\sum_{j=1}^{673} z_j\right)^2 - 2 S\right) \\\\ ~~~~ \implies S = \frac{19}3 - \left(\sum_{j=1}^{673} z_j\right)^2[/tex]

The remaining sum on the right is the sum of the roots of [tex]\sqrt[3]{p_{3,673}(x)} = p_{1,673}(x)[/tex].

Recall that the sum of the roots of a polynomial

[tex]P_n(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_0[/tex]

is [tex]-\frac{a_{n-1}}{a_n}[/tex]. Then the sum of the roots of [tex]p_{3,673}(x)[/tex] is -20, which is 3 times the sum of the roots (counting multiplicity) of [tex]p_{1,673}[/tex], so

[tex]\displaystyle \sum_{j=1}^{673} z_j = -\dfrac{20}3 \\\\ ~~~~ \implies S = \frac{19}3 - \left(-\frac{20}3\right)^2 = -\frac{343}9 \\\\ ~~~~ \implies |S| = \frac{343}9, m=343, n=9 \implies m+n = \boxed{352}[/tex]

Answer: 1680

Step-by-step explanation:The answer is 1680 because 56 percent of 3000 is 1680 people and 44 percent of 3000 is 1320 people

Answer:

$1.92

Step-by-step explanation:

The corresponding row to 6 ounces is this

The weight of apple that Sandy has left after one week is 2.1 pounds.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of apple remaining after x days. Sandy collected 10 pounds of apples at an apple orchard and eat 20% daily, hence:

y = 10(1 - 0.2)ˣ

y = 10(0.8)ˣ

After 1 week, x = 7:

y = 10(0.8)⁷ = 2.1 pounds

The weight of apple that Sandy has left after one week is 2.1 pounds.

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

Answer:

m=33

Step-by-step explanation:

Step 1: Subtract 1 from both sides.

3m+1−1=100−1

3m=99

Step 2: Divide both sides by 3

m=33

Step-by-step explanation:

solve:

3m+1=100

3m=99

99/3=33

m=33

check:

m= 33

33*3=99

99+1=100

Answer:

y = - [tex]\frac{\sqrt{111} }{20}[/tex]

Step-by-step explanation:

using Pythagoras' identity in the right triangle formed by the radius 1 and the given point, then

y² + (- [tex]\frac{17}{20}[/tex] )² = 1²

y² + [tex]\frac{289}{400}[/tex] = 1

y² = 1 - [tex]\frac{289}{400}[/tex] = [tex]\frac{111}{400}[/tex] ( take square root of both sides )

y = ± [tex]\sqrt{\frac{111}{400} }[/tex] = ± [tex]\frac{\sqrt{111} }{20}[/tex]

since the point is in the third quadrant then y < 0

y = - [tex]\frac{\sqrt{111} }{20}[/tex]

The terms in the expression x² + x + 7 + 22 are x², x, 7 and 22.

What is an expression?

The value of anything is represented by a group of numbers, symbols, and operators called an expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. In a mathematical expression, this proposition is denoted by the equation x/2 + 6.

The terms in the given expression are x², x, 7 and 22.

The coefficient of x² is 1 and coefficient of x is also 1.

To know more about expressions, click on the link

https://brainly.com/question/1718606

#SPJ9

The percentage is 42.8571%.

Percentage, a relative value indicating hundredth parts of any quantity. One percent  is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

All of something is 100 percent, half of it is fifty percent, none of something is zero percent. To determine a percentage, you divide the portion of the whole by the whole itself and multiply by 100.

Given fraction:

3/7

To convert the fraction into percentage we have multiply 100

3/7*100

=300/7

= 42.8571%

Hence, the percentage of fraction 3/7 is 42.8571%.

Learn more about percentage here:

https://brainly.com/question/13244100

#SPJ1

Using substitution method, the ground will be 96 feet far after 3 seconds.

Finding the value of any variable from one equation in terms of another variable is the first step in the substitution technique. For instance, if there are two equations, x+y=7 and x-y=8, we may deduce that x=7-y from the first equation. Applying the replacement approach begins with this.

240-16 t² {t = 3, Substitution method}

=240 - 16×32

=240 - 16x9

=240-144

= 96 feet

96 feet from the ground.

To learn more about substitution method from given link

https://brainly.com/question/22340165

#SPJ9

An item is $55 before sale, and bought for 45 percent off the regular price. therefore the sale price of item is  $30.25.

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

Given that item is $55 before sale, and bought for 45 percent off the regular price.

WE have to do that as; 45% off $55 implies subtract 45% from $55

= 45/100 × 55 = $24.75

therefore the item bought at $55 - $24.75= $30.25.

Hence, the sale price of item is  $30.25.

Learn more about markup and markdown here:

https://brainly.com/question/27215448

#SPJ1

The complete question is

An item is regularly priced at $55. It is on sale for 45% off the regular price. What is the sale price?

Answer:

3

Step-by-step explanation:

3  seeing as most dogs (5 dogs) are at the age of 3

Based on the fact that Mary's family goes every 14 days and Sally's family goes every 4 days, the method of solving this problem is the Least Common Multiple.

The Least Common Multiple is used to find out when two or more events will occur at the same time if those events occur at fixed intervals that are different from each other.

Sally's family goes to the beach every 4 days and Mary's family goes every 14 days.

You can therefore solve for the day that they will next meet on the beach using their Least Common Multiple which is 28. They will next be at the beach on the same day after 28 days.

Find out more on the Least Common Multiple at https://brainly.com/question/233244

#SPJ1

Answer:

The circumference of a circle with diameter 9.36 is 29.41

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius and therefore, 2×r being the diameter.

2×pi×r = 9.36 cm

2r = diameter = 9.36/pi = 2.979380535... ≈ 2.98 cm