A parallelogram is shown.
7.5 cm
Area = 62 cm²
Work out the perimeter of this parallelogram.
Optional working
6.2 cm
Answer:
cm

What is 30% of 40?

30% = 0.3

so:

0.3 * 40 = 12

_________________________

Lou's class has 12 students in it. 8 of the students ran a race last weekend. What percent ran the race?

8 out of 12 ran so:

8/12 = 2/3

2/3 = 0.6667

0.6667 as a percentage:

0.6667 * 100 = 66.667%

[if you need it rounded to two decimal places: 66.67%]

Answer:

y = [tex]\frac{5}{3}[/tex] x -9

Step-by-step explanation:

Put both equations in the slope intercept form

y =mx + b

5x - 3y = 7  Subtract 5x from both sides

-3y = -5x + 7  Divide both sides by -3

y = [tex]\frac{-5}{-3}[/tex] x + [tex]\frac{7}{-3}[/tex]  Cleaned up

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{7}{3}[/tex]

4x -y = 9  Subtract 4x from both sides

-y = -4x + 9  Divide all the way through by -1

y = 4x - 9

To make a line parallel to the first equation, we need the same slope.  The slope of the first equation is [tex]\frac{5}{3}[/tex].  We are also told to have the same y intercept as the second equation which is -9

y = [tex]\frac{5}{3}[/tex] x  - 9

The equivalent expression for the exponential expression 4³ . 4⁻⁹ is either 4⁻⁶ or 1/4⁶

Exponential expression:

Exponential expression means a mathematical expression consisting of a constant raised to some power.

Given,

Here we have the expression 4³ . 4⁻⁹.

Now, we have to simplify this expression to find the equivalent expression.

According to the following exponent rule,

xᵃ . xᵇ = x⁽ᵃ⁺ᵇ⁾

Based on this rule, we have rewritten the expression as,

=> 4⁽³ ⁺ ⁽⁻⁹⁾⁾

Thus the resulting value of the expression is,

=> 4 ⁽³⁻⁹⁾

=> 4⁻⁶

By using the another exponent rule, we get the value as,

=> 1/4⁶

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Answer:

205 because 8.4% of 17.22 is 205

Answer:

below

Step-by-step explanation:

The arc length is  220 / 360 ths of the total circumference

find the total circumference = pi *2r = 64 pi  inches

now multiply by the fraction  of the total circumference

   220 / 360   *  64 pi = 122.9 in

Answer:

85

Step-by-step explanation:

solo lo sumas para que le entiendas consulta a una maestro jajja

Answer:

20 + 6L ≤ 60 :)

[tex]\cfrac{tan(\theta )}{sec(\theta )}\implies \cfrac{~~ \frac{sin(\theta ) }{cos(\theta ) } ~~}{\frac{1}{cos(\theta )}}\implies \cfrac{sin(\theta ) }{~~\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1}\implies sin(\theta )[/tex]

The equation that show the relationship between the truck's weight in tons and the number of refrigerator in the truck x is y = 15 + 0.16x

The weight of the each refrigerator = 0.16 tons

The weight of truck when its empty = 15 tons

The weight of the truck = y

The number of refrigerators in the truck is x

Then the equation will be

y = 15 + 0.16x

Where y is the weight of the truck

x is the number of refrigerators

Hence, the equation that show the relationship between the truck's weight in tons and the number of refrigerator in the truck x is y = 15 + 0.16x

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6xy - 18y

common factor is 6y:

6y(x - 3)

The angle of triangle ∠LMN = 60 degrees,

Right angle triangle MLN where at L it is a right angle ∠MLN=90  and the line LN of triangle MLN lies on the ray LO passes through LN it makes an exterior angle with MN it is given by 3x+15 degrees whereas angle M in the triangle MLN is given by ∠LMN = x+15 degrees.

By using the exterior angle relation that exterior angle =sum of two opposite internal angles,

Here, 3x+15=x+15+90,

We get x=45 degrees ,

So angle ∠LMN is x+15 which is 60,

Hence, The angle of triangle ∠LMN = 60 degrees.

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The total amount of wood that Harry will need for the project is [tex]19\frac{1}{3}[/tex] feet.

What is a mixed fraction?

A mixed fraction is one that has both its quotient and remainder represented.

Or, a mixed fraction is a fraction that is created by combining a whole number and a fraction.

Given, 4 pieces of wood that have a length of  [tex]2\frac{3}{4}[/tex]  feet

And, 5 pieces of wood that have a length of  [tex]1\frac{2}{3}[/tex] feet

So,

The total amount of wood = [tex]4*2\frac{3}{4} +5*1\frac{2}{3}[/tex]

                                            = [tex]4*\frac{11}{4} + 5*\frac{5}{3}[/tex]

                                            = [tex]11+ \frac{25}{3}[/tex]

                                            = [tex]\frac{(11*3)+25}{3} = \frac{33+25}{3} = \frac{58}{3} = 19\frac{1}{3}[/tex]

Hence, the total amount of wood is  [tex]19\frac{1}{3}[/tex] feet.

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Answer:

10.5

Step-by-step explanation:

each quart is half a pint so 21 divided by 2 is this 10.5

Answer: I EXPLAINED IT TELL ME IF YOU NEED THE ANSWER!

Step-by-step explanation: You can find the final equation for the segment of a circle area: A segment = A sector - A isosceles triangle = (0.5 × r² × α) - (0.5 × r² × sin(α)) = 0.5 × r² × (α – sin(α)) Formula given radius and height. A segment = r² × Arcos((r-h)/r) - (r-h) × √ (2 × r × h - h²) where h is the height of a segment, also known as sagitta.

Answer:

Step-by-step explanation:

hopes this helps please mark brainliest

Follow up answer is 90/500

9/50

Using the Uniform Distribution and the Z- distribution, it is found that 1591 specimens should be tested.

Uniform Distribution: It refers to a type of probability distribution in which all outcomes are equally likely.

Z- Distribution: The standard normal distribution, also known as z distribution, is a special normal distribution where the mean is 0 and standard deviation is 01.

For an uniform distribution of bounds a & b the standard deviation is given by:  α = √ (b-a)²÷12

here, α= standard deviation.

in this problem, a = 45 and b = 750, thus the estimate is:

α = √(750-45)² ÷ 12

  = √497025 ÷ 12

  = 203.5

the margin of error of a Z confidence interval is given by:

                  M = z (α ÷√n)

where, z is the critical value

            α is the population Standard deviation

             n is the sample size.

Now, finding the critical value which is z with a p - value of (1+∝ )÷2, where ∝ is confidence level.

here, ∝ = 0.95, thus z with a p-value of (1+0.95)÷ 2 = 0.96

∴ z= 0.96

standard deviation estimates is 203.5.

now, we want sample for a margin of error of 10, then,

               M= z( α ÷ √n)

         ⇒ 10 = 1.96 ( 203.5 ÷ √n)

         ⇒ 10√n = 1.96 (203.5)

         ⇒ √n = 0.196 (203.5)

         ⇒ (√n)² = [0.196(203.5)]²

         ⇒ n = 1590.89

Round up the value 1590.89 by:

1591 specimen should be tested

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The correct option is, Mickey should have added –4 and 2 when combining the coefficients of the x terms.

Given,

The expression;  2x² - 4x - 9 - x² + 2x + 3

We have to simplify the expression;

To group and arrange an expression in such a way that it is easier to understand and solve is to simplify the expression.

We first group and find like terms and then add and cancel out

2x²-x²- 4x+2x - 9+ 3

=x²-2x-6

Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients

Therefore the correct option is

Mickey should have added –4 and 2 when combining the coefficients of the x terms.

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No, feeding both tanks the same amount of food is impossible.

Let's assume a pet store has two fish tanks and tank A contains Z number of smaller fish.

In tank A, she fed each fish one gram of food per day,

which equals Z*1, while

in tank B, she fed each fish two grams of food per day,

which is (2/3*Z)*2.

Let's now test the feasibility of feeding both tanks the same amount of food.

Z*1 = (2/3*Z) *2

Z = (2/3*Z) *2  

3Z = 2*Z*2

3Z = 4 Z Lia will not be able to feed both tanks with the same amount of food because it is not possible.

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Answer:

The x value does not change between the two points, meaning that our line includes all possible points in which x=5.

x=5 is the slope.

Answer:

x = 5

Step-by-step explanation:

slope: undefined

So, x = 5

Answer:

2

Step-by-step explanation:

because u need to multiply

If in Last week, Colton sold 14 magazine subscriptions and 36 raffle tickets for a fundraiser. This week, he sold 18 magazine subscriptions and 26 raffle tickets. If Colton charged $10.25 for each magazine subscription and $0.50 for each raffle ticket, Then $359 money he earned for the fundraiser over these two weeks

Two or more expressions with an Equal sign is called as Equation

Given,

10.25 for each magazine subscription and $0.50 for each raffle ticket,

M=10.25 and T=0.50

Last week:

14 magazine subscriptions and 36 raffle tickets for a fundraiser.

14M+36T

Now substitute M and T values

14(10.25)+36(0.50)

143.5+18

161.5

Current week:

18 magazine subscriptions and 26 raffle tickets.

18M+26T

Now substitute M and T values

18(10.25)+26(0.50)

184.5+13

197.5

So total money he earned for two weeks is 161.5+197.5

$359

Hence $359 money did he earn for the fundraiser over these two weeks

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Using the probability, if you choose two cards out of a deck of cards, then the chances one is a red face card and the other is a black non-face card is 1/2.

In the given question,

If you choose two cards out of a deck of cards, then we have to find the chances one is a red face card and the other is a black non-face card.

As we know that in a deck having 52 cards. In which 26 are red and 26 are black.

We have to choose a red face card.

As we know that in a deck have 12 face cards. In which 6 red face cards and 6 black face cards.

So the chance of getting red face card is

P(R)=Total number of red face cards/Total number of cards

P(R)=6/52

We have to choose a black non-face card.

We know that in a deck have 6 black face cards and total black cards are 26. So the non face cards are 20.

So the chance of getting black non-face card is

P(B)=Total number of black non-face cards/Total number of cards

P(B)=20/52

Now the chances of getting one is a red face card and the other is a black non-face card is

P(R or B)=P(R)+P(B)

P(R or B)=6/52+20/52

P(R or B)=(6+20)/52

P(R or B)=26/52

P(R or B)=1/2

Hence, if you choose two cards out of a deck of cards, then the chances one is a red face card and the other is a black non-face card is 1/2.

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Required standard form for given circle is [tex](x-2)^{2}+(y+9)^{2}=4[/tex]

Standard form of circle is expressed as[tex](x-h)^{2}+(y-k)^2=r^{2}[/tex] ,where h,k are the coordinate of the center of circle and r is radius.

Center (h, k) = (2, -9)

radius = 2 units

Using standard form of equation,

[tex](x-h)^{2}+(y-k)^2=r^{2}[/tex]

Putting the given values,we get

[tex](x-2)^{2}+(y-(-9))^{2}=2^{2}[/tex]

⇒ [tex](x-2)^{2}+(y+9)^{2}=4[/tex]

Hence, the standard form of equation of circle is [tex](x-2)^{2}+(y+9)^{2}=4[/tex] .

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Answer:

440 miles

Step-by-step explanation:

5 pairs of 12 mintues make 1 hour

5 *88 = 440

The volume of the original pyramid is, 250/3 cubic inches, and the volume of the reduced size pyramid is, 80/3 cubic inches.

What is the pyramid?

A pyramid is a structure that has triangular exterior surfaces that converge to a single step at the summit, giving it roughly a pyramidal shape in the geometric sense. Any polygonal form, including triangular and quadrilateral, can serve as the base of a pyramid. A pyramid has at least three outside triangle surfaces as a result.

Let, the pyramid has a square base of lengths 5 inches  and the height is 10 inches.

Since,

Volume of pyramid = (l x b x h)/3

where,

l is the base length,

b is the base width and

h is the height.

Here, l = b = 5, h = 10

So,

V = (5 x 5 x 10)/3 = 250/3 cubic inches.

Now, to save costs in production, the lengths of the sides of the base are each reduced by one inch while the pyramid's height remains the same.

So, l = b = 4, h = 10

Therefore,

V = (l x b x h)/3 = (4 x 4 x 10)/ 3 = 80/3 cubic inches.

Hence, the volume of original pyramid is, 250/3 cubic inches and the volume of reduced pyramid is, 80/3 cubic inches.

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Answer:

(-5,5)

Step-by-step explanation:

Answer:

------------------------

Translate

Solution

Option B is the closest one.

Answer:

b) n - 6 > 2 ; n > 8

Step-by-step explanation:

Given statement,

→ The result of 6 subtracted from a number n is at least 2.

Forming the inequation,

→ n - 6 > 2

Now the value of n will be,

→ n - 6 > 2

→ n > 2 + 6

→ [ n > 8 ]

Hence, the value of n is 8.

The probability that the next person will purchase no costume as a percent is 80%.

Number of visitors who purchase no costume = 349

Number of visitors who purchase exactly one costume = 71

Number of visitors who purchase more than one costume = 12

Total number of visitors = 349 + 71 + 12 = 432

Probability of an event P(E) = Number of favorable outcomes (visitors who purchase no costume)/Total number of outcomes

⇒ P(E) = 349/432

⇒ P(E) = 349/432

Percent form of P(E) = (349×100)/432 = 80%

Hence the probability in percent form that next person will purchase no costume is 80%.

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The distance at which the ladder slips down the wall is equal to 5cm.

As given in the question,

figure of the given situation attached.

Length of the ladder AD or BE = 3m

                                                  = 300cm

Distance between base of wall and ladder before slipping 'DC'= 60cm

Distance after slipping 'EC' = 80 cm

In ΔADC,

AC =√AD² -CD²

     = √ 300² - 60²

     = √86400

     = 293.9

     = 294 cm ( nearest cm)

BC = √ BE² - EC²

     = √300² -80²

    = √ 83600

    = 289.1

    = 289 cm ( nearest cm)

Distance AB = AC - BC

                     = 294 - 289

                     = 5cm

Therefore, distance between the ladder before and after slipping on the wall is 5cm.  

The complete question is :

At the start of the day , a decorator rested a 3m ladder against a vertical wall so that the foot of the ladder was 60cm away from the base of the wall. During the day, the ladder slipped down the wall, causing the foot of the ladder to move 80cm further away from the base of the wall. How far down the wall, in centimeters, did the ladder slip? Give your answer to the nearest 1cm.

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