Use this table to answer the question. Round to the nearest percent.

Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730

What percent of the Green were Planes?

Answer:

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According to picture we observe:

The segment connecting the midpoints is the midsegment.

As per property of the midsegment, it is parallel to opposite side and is half of its measure.

It tells us that WB is parallel to AE and:

Answer:

its c

Step-by-step explanation:

The simplest form of the given expression will be  38c + 280.

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

His truck is filled with cans that weigh 16 ounces each and bottles that weigh 54 ounces each. There is a combined total of 280 cans and bottles in his truck.

Let c be the number of cans in his truck. Write an expression for the combined total weight (in ounces) of the cans and bottles in his truck.

O Total weight in ounces = 38c + 280

Hence the simplest form of the given expression will be  38c + 280.

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Answer:

£76

Step-by-step explanation:

[tex]28+16(1.5/0.5)=28+16(3)=28+48=76[/tex]

Answer:

2

Step-by-step explanation:

Line MN ≅ Line LK

Since Line MN ≅ Line LK, that means the diagonals must be congruent ∴ MK ≅ NL.

Now that we know MK ≅ NL, we can set them equal to each other.

MK = [tex]16[/tex]

NL = [tex]7x + 2[/tex]

[tex]16=7x+2\\14=7x\\2=x[/tex]

Therefore, 2 is your final answer.

Answer:

f(-2) = 46

f(-1) = 17

f(0) = 2

f(1) = 1

f(2) = 14

Step-by-step explanation:

F(-2) = 46

F(-1)= 17

F(0)= 2

F(1)= 1

F(2)= 14

How to determine this

Using product rule,

[tex]\frac{d}{dx}[/tex](u.v) = du/dx.v + dv/dx.u

where u = x-5

v = x+7

Using the rule,

d/dx = 1(3x + 7) + 3(x - 5)

d/dx = 3x +7 +3x - 15

d/dx = 6x - 8

Using the expanding, then differentiating,

d/dx = (x - 5)(3x + 7)

open bracket,

d/dx = 3x^2 + 7x - 15x - 35

Differentiating it,

d/dx = 6x + 7 - 15

d/dx = 6x - 8

Therefore, using different rule,it has been verified that both methods gave the same results.

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Answer:  Choice B

Explanation: The phrase "cash on hand" means the amount of money the company has. It could be literal cash as the phrase directly implies. Or it could be near equivalents to cash. A near equivalent is something you can convert to cash fairly easily, meaning a bank would readily accept it. The only drawback is that it's not actual cash so its not as liquid as cash itself. Also, you would need to take into account the delay time between deposit and when the bank balance is updated.

The divisor in the situation given is 14.

We can write the division algorithm as -

dividend = (divisor × quotient) + remainder

Given is that in a division the dividend is 872 the quotient is 62 and the remainder is 4

We can write -

dividend = (divisor × quotient) + remainder

872 = (d x 62) + 4

62d = 868

d = 868/62

d = 14

Therefore, the divisor in the situation given is 14.

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{Question in english -

if in a division the dividend is 872 the quotient is 62 and the remainder is 4 what is the divisor}

Answer:

a = 5, b = 5√3

Step-by-step explanation:

Use sin law

sin A/a = sin C/c

sin 30/a = sin 90/10

sin 30/(sin90/10) = a

a = 5

sin B/b = sin C/c

sin 60/b = sin 90/10

sin 60/(sin90/10) = b

b = 5√3

The average rate of change of the function f(x) over the interval (-1, 2) is; 3.

As evident in the task content; the given function is as represented by the graph of f(x).

Hence, the average rate of change of the function over the given interval; (-1, 2) is;

= ( f (2) - f (-1) ) / (2 - (-1))

where; f (2) = 5 and f (-1) = -4.

Therefore, the average rate of change is;

= (5 - (-4)) / (2 - (-1))

= 9 / 3.

= 3.

Ultimately, the difference quotient of f (x) over the given interval is; 3.

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The total cost of the ingredient to make the cake and the comparison to the percentage discount to get the best deal indicates that we get;

A percentage is the representation of a proportion of an item per 100 of a set of items.

Quantity of flour = 5 lb

Unit cost for the flour = $2.74 per lb

Quantity of sugar = 2 1/2 lb

Unit cost of the sugar = $1.70 per lb

Quantity of butter = 2 lb

Unit cost of the butter = $7.49 per lb

Quantity of eggs required = 1/2 dozen

Cost of six eggs = $4.85

Miss Brown's total bill for the four items, C, is therefore;

C = 5 × 2.74 + (2 1/2) × 1.7 + 2 × 7.49 + 4.85 = 37.78

The discount available for purchases of $50 or more = 5% discount on the purchase

The amount of more money she will have to spend to get the 5% discount is therefore;

$50 - $37.78 = $12.22

Miss Brown will have to spend $12.22 extra to get the 5% discount

The 5% discount indicates that spending $50, Miss Brown only has to pay $50 - $50 × 5% = $47.5

Therefore, in order to get the discount, the total amount spent on the purchase is increase by $47.5 - $37.78 = $9.72, and the amount saved from the discount is $2.5, therefore;

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Answer:

x = 5, y = 1

Step-by-step explanation:

For x :

Substitute y into the equation : 5x + 3 ( -1/5x + 2 ) = 28

Simplify : 22/5x + 6 = 28

Isolate x : x = 5

For y :

Substitute x for 5 : y = -1/5 * 5 + 2

Solve: y = 1

Answer:

x=9

Step-by-step explanation:

Since y=5x, you plug it into the other equation's y and it'd look like this 5x=4x+9. Then you subtract 4x on both sides and that would leave you with an x=9.

Answer:

the perimeter of the polygon is 36 feet.

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of all its sides. In this case, you have three sides with lengths of 14 ft, 15 ft, and 7 ft. To find the perimeter, simply add these lengths together:

Perimeter = 14 ft + 15 ft + 7 ft

Perimeter = 36 ft

So the perimeter of the polygon is 36 feet.

To find the weight of 4.3 cubic feet of water, we need to first find the number of gallons of water that 4.3 cubic feet holds and then multiply that by the weight of 1 gallon of water.

1 cubic foot holds 7.48 gallons of water, so 4.3 cubic feet holds 4.3 x 7.48 = 31.964 gallons.

1 gallon of water weighs 8.33 pounds, so 31.964 gallons of water weigh 31.964 x 8.33 = 265.9012 pounds.

Therefore, 4.3 cubic feet of water weigh 265.9012 pounds.

To find the weight in tons, we need to divide the weight in pounds by 2000:

265.9012 pounds ÷ 2000 = 0.13295 tons

So 4.3 cubic feet of water weigh 0.13295 tons.

Answer:

0.13314 tons.

Step-by-step explanation:

We can start the calculation by first converting the cubic feet of water to gallons and then converting the gallons to pounds.

Conversion from cubic feet to gallons:

4.3 cubic feet = 4.3 cubic feet * 7.48 gallons/cubic foot = 32.084 gallons

Conversion from gallons to pounds:

32.084 gallons = 32.084 gallons * 8.33 pounds/gallon = 266.279 pounds

Conversion from pounds to tons:

266.279 pounds = 266.279 pounds / 2000 pounds/ton = 0.13314 tons

So, 4.3 cubic feet of water weigh 266.279 pounds or 0.13314 tons.

The inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

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

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

f ( x ) = ( 5/x ) + 4   be equation (1)

On simplifying the equation , we get

y = ( 5/x ) + 4

Now , replacing x with y , we get

x = ( 5/y ) + 4

On solving for y , we get

5/y = x - 4

y = ( 5 / x - 4 )

Now , the inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )

Hence , the equation is f⁻¹ ( x ) = 5 / ( x - 4 )

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Raul made a mistake in evaluating the expression 3 - (-5) - 7 in B) Step 2 by not following PEMDAS.

PEMDAS means Parentheses, Exponents, Multiplication and Division, Addition and Subtraction from left to right.

PEMDAS refers to the correct order for evaluating mathematical expressions.

The expression 3 - (-5) - 7 should be evaluated as follows:

3 - (-5) - 7

= 3 + 5 - 7

= 8 - 7

= 1

Thus, if Raul did not make a mistake in Step 2, he would have valued the expression as 1.

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Raul tried to evaluate an expression step by step.

3 - (-5) - 7

Step 1: 3 + 5 - 7

Step 2: 3 + 2

Step 3: 5

Find Raul's mistake.

A) Step 1

B) Step 2

C) Step 3

D) Raul did not make a mistake.

Answer:

chapter 1

Step-by-step explanation:

Answer:

cosΘ = [tex]\frac{\sqrt{21} }{5}[/tex]

Step-by-step explanation:

using the identity

• sin²Θ + cos²Θ = 1 ⇒ cos²Θ = 1 - sin²Θ

given Θ is in quadrant 1 , then cosΘ > 0

sinΘ = [tex]\frac{2}{5}[/tex] , then

cos²Θ = 1 - ( [tex]\frac{2}{5}[/tex] )² = 1 - [tex]\frac{4}{25}[/tex] = [tex]\frac{25}{25}[/tex] - [tex]\frac{4}{25}[/tex] = [tex]\frac{21}{25}[/tex] , then

cosΘ = [tex]\sqrt{\frac{21}{25} }[/tex] = [tex]\frac{\sqrt{21} }{\sqrt{25} }[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]

There are approximately 205.33 gallons of water in the water cooler when it is completely full.

What is the volume of the cylinder?

The volume of a cylinder is given by the formula:

V = πr^2h

where V is the volume, r is the radius, and h is the height of the cylinder.

The volume of the cylindrical water cooler is:

V = πr^2h

where r is the radius and h is the height. Substituting the given values:

V = 3.14 x (3.5/2)^2 x 2

= 27.44 cubic feet

To convert cubic feet to gallons, we can multiply by 7.48 gallons/cubic foot:

V = 27.44 x 7.48

= 205.32 gallons

Rounding to the nearest hundredth, the answer is:

205.32 ≈ 205.33 gallons

Hence, there are approximately 205.33 gallons of water in the water cooler when it is completely full.

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Answer:

The correct answer is 143.86 gallons

Step-by-step explanation:

[tex]b = \bar y - m\bar x[/tex]An equation that models that population growth of the small town is y = 2,453.75x + 88,499.37 .

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

The given table is:

Year (x)                          0,              1,           2,              3

Population (y)            88,000,    90,640,  93,359,    96,160

We can use the least squares method to estimate the slope and y-intercept.

The formula for the slope (m) is:

[tex]m = \dfrac{\sum(x - \bar x)(y - \bar y)}{ \sum(x - \bar x)^2}[/tex]

The formula for the y-intercept (b) is:

[tex]b = \bar y -m \bar x[/tex]

Using the data from the table, we can calculate the mean of x and y:

[tex]\bar x[/tex] = (0 + 1 + 2 + 3) / 4

  = 1.5

[tex]\bar y[/tex] = (88,000 + 90,640 + 93,359 + 96,160) / 4

  = 92,180

Next, we can calculate the slope (m) and y-intercept (b):

m = (0 - 1.5)(88,000 - 92,180) + (1 - 1.5)(90,640 - 92,180) + (2 - 1.5)(93,359 - 92,180) + (3 - 1.5)(96,160 - 92,180)² / (0 - 1.5) + (1 - 1.5)² + (2 - 1.5)² + (3 - 1.5)²

= (-2.25)(-4,180) + (-0.5)(-1,540) + (0.5)(1,179) + (2.25)(4,980) / 2.25² + 0.5²+ 0.5² + 2.25²

= 2,453.75

b = 92,180 - (2,453.75 x 1.5)

  = 92,180 - 3,680.63

  = 88,499.37

So, the equation that models the growth of the population is:

y = 2,453.75x + 88,499.37

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Answer:425

Step-by-step explanation:

993-43=950

950/2=425

Answer:

$475

Step-by-step explanation:

Let's call the cost of the dryer x. That means the cost of the washer is x + $43. The combined cost of the two is $993, so we can write the equation:

x + (x + $43) = $993

Expanding the right side:

2x + $43 = $993

Subtracting $43 from both sides:

2x = $950

Dividing both sides by 2:

x = $475

So the cost of the dryer is $475.

In a cas e whereby a fruit cocktail, for every 20 ml of orange juice you need 45 ml of apple juice and 100 ml of coconut milk the ratio of apple juice to coconut milk to orange juice expressed in its simplest form is 9: 20 : 4

The concept that will be used here is ratio.

The amount of orange juice can be expressed as  20mL

The amount of apple juice can be expressed as  45mL

The amount of coconut milk can be expressed as  100 mL

Then the ratio of the three can be expressed as :

(apple: coconut: orange)

= 45: 100 : 20

We can divide through by 5, then we have

9: 20 : 4

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Answer:

Step-by-step explanation:

Given a family net income of $13150, Lisa's current annual gross of $76200, deductions of 20% of Lisa's gross salary, you want to know Lisa's monthly net income and the new family net income if Lisa makes 35% less by working part-time.

Lisa's current annual income is $76200, and her annual net income is 80% of that, or $60960. On a monthly basis, her net income is ...

  $60960/12 = $5080 . . . . . . Lisa's current net monthly income

If her income is reduced by 35%, the reduction is ...

  0.35 × $5080 = $1778

Then Lisa's part-time monthly net income will be ...

  $5080 -1778 = $3302 . . . . . Lisa's part-time monthly net income

The family net income will be reduced by the same amount:

  $13150 -1778 = $11372 . . . . . new family monthly net income

__

Additional comment

It appears the total of budgeted items is $10343, so those items can be paid even if Lisa works part-time. The family's current surplus income of $2807 would be reduced to $1029, about a 63% reduction. That gives a lot less cushion to pay for off-budget expenses that may come up.

The average velocity, to the nearest hundredth, of a ceiling tile that fell 43 feet is 344 feet per second

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given that the formula for the speed of a falling object is v= √64d,

where v is the speed of the object in feet per second and d is the distance the object has fallen, in feet.

And also given that d = 43 feet.

Substituting the value to the formula,

v = √64 (43)

v = 8 x 43

v = 344

Therefore, 344 feet per second is the velocity.

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The error is 20 and absolute error for the pen sets is also 20. Absolute error is the difference between a quantity's observed or inferred value and its actual value.

Absolute error is the difference between such a quantity's observed or assumed value and its real value. Because it doesn't indicate the error's magnitude, the absolute inaccuracy is insufficient.

The difference between a quantity's measured value and its actual value is known as absolute error. The difference between the measurement's absolute error and the quantity's actual value is referred to as relative error.

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Answer:

15%

Step-by-step explanation:

flip edge