A scale drawing of a school bus has a scale of inch to 5 feet. If the length of the school bus is 4 inches on the scale drawing, what
is the actual length of the bus?

Answer:

7/9 ÷ 1/3 = 21/9 as simplified as 7/3 in fraction form. 7/9 ÷ 1/3 = 2.3333 in decimal form.

Answer:

x = one angle

90 - x = complementary angle {complementary angles add up to 90�}

x = 90 - x + 86 {one angle is 86� more than its complementary angle}

x = -x + 176 {combined like terms on right}

2x = 176 {added x to each side}

x = 88 {divided each side by 2}

90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88�

the complementary angle is 2�

Step-by-step explanation:

Answer:

A = 4.5E2 * 3.2E6 * 3.65E2 = 4.5 * 3.2 * 3.65 * 10^10

A = 52.6 * 10^10 = 5.3 * 10^11 grams

Answer:

the answer is 28

Step-by-step explanation:

the right angle=90

90-62=28

Answer:

6 ft

Step-by-step explanation:

Answer:

It is 6ft

Step-by-step explanation:

Do you need help with anything else like shaded area?

To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.

The original surface area of the rectangular prism is given by:

SA_original = 2lw + 2lh + 2wh

where l, w, and h represent the length, width, and height of the prism, respectively.

In this case, the dimensions of the original box are:

Length (l) = 3 ft

Width (w) = 6 ft

Height (h) = 5 ft

Substituting these values into the formula, we have:

SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)

            = 36 + 30 + 60

            = 126 square feet

Now, if we quadruple all the dimensions of the box, the new dimensions would be:

Length (l_new) = 4(3) = 12 ft

Width (w_new) = 4(6) = 24 ft

Height (h_new) = 4(5) = 20 ft

The new surface area of the enlarged box is given by:

SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)

       = 2(12)(24) + 2(12)(20) + 2(24)(20)

       = 576 + 480 + 960

       = 2016 square feet

Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.

Therefore, the correct answer is:

1. The new surface area would be 16 times the original surface area.

Answer:

Taking a gap year after matriculation can be a great idea for some students, depending on their individual needs and goals. A gap year provides an opportunity for students to take a break from academic studies and explore other interests or gain valuable life experience. During this time, they can travel, volunteer, work, or even take courses or internships to develop new skills or explore potential career paths.

A gap year can also be an excellent option for students who are not sure what they want to study or do after high school. It provides time to reflect on their interests and goals and make more informed decisions about their future. Furthermore, some universities and employers value the experiences that gap year students bring to their studies or work, which can enhance their future career prospects.

On the other hand, taking a gap year may not be the best option for everyone. It requires careful planning and consideration of finances, as students will not have the same financial aid and scholarships available as they would during a traditional academic year. Additionally, students must have a clear plan for how they will spend their time and ensure that they are using their gap year constructively.

In conclusion, whether or not taking a gap year is a good idea depends on the individual student's needs, goals, and circumstances. If they have a clear plan and the financial means to support themselves, a gap year can provide valuable experiences and benefits. However, if they are not prepared or do not have a clear purpose for their time off, it may not be the best choice.

Answer:

35t + 2

thats what I got...........

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

195.4

Step-by-step explanation:

Volume of a right cylinder is:

V = π r² h

where r is radius and h is height.

V = π (2.6 cm)² (9.2 cm)

V = 195.4 cm³

Area of circle of diameter with 13cm is 132.74

What is area of circle?

Given :

Diameter of circle, d = 13cm

Radius of a circle, r = d/2

=13/2

=6.5

Area of circle = πr²

= 3.142 * 6.5 * 6.5

= 132.74

Hence, the Area of circle of diameter with 13cm is 132.74.

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The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

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Answer:

b

Step-by-step explanation:

The value of x 85.

The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.

⇒angle= arc/radius

⇒  107°=arc/7

⇒ arc =1o7°*7

⇒arc=107π/180° *7

⇒arc = 85

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Answer:

28mpg

Step-by-step explanation:

eric uses 7 gallons

drive=196 miles

196miles ÷ 7 gallons = 28mpg

eric can drive 28 miles using 1 gallon of gas

Answer:

t=1/50

Step-by-step explanation:

2/5t=20

2=100t

2/100=t

t=1/50

Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .

In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.

If the trend continues, the number of years till 67% of children born out of wedlock will be:

= (67%  - 28%) / 0.6%

= 65 years

The year will be:

= 1990 + 65

= 2055

The first part of the question is:

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.

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Answer:

In a room of just 23 people there's a 50-50 chance of at least two people having the same birthday. In a room of 75 there's a 99.9% chance of at least two people matching. Put down the calculator and pitchfork, I don't speak heresy.

Step-by-step explanation:

Number lines are used to represent numbers and ratios using regular intervals

Nuka can weave 8.75 cm of strip in 5 minutes

Represent the ratio with:

Ratio = Length : Time

From the number line, they can weave 7cm of the strip in 4 minutes.

So, we have:

Ratio = 7cm : 4 minutes

Represent the length of strip made in 5 minutes with x.

So, we have:

x : 5 minutes = 7cm : 4 minutes

Remove the common units

x : 5 = 7cm : 4

Express as fraction

\(\frac x5 = \frac 74\)

Divide 7 by 4

\(\frac x5 = 1.75\)

Multiply through by 5

\(x= 8.75\)

Hence, Nuka can weave 8.75 cm of strip in 5 minutes

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Answer:

the answer would be x(f)-3

Step-by-step explanation:

you already know

The function is given by the equation f ( x ) = ( x + 2 )² + 150 and the domain for the function is x is an integer

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

f ( x ) = ( x + 2 )² + 150   be equation (1)

when Ian hikes miles north , the value of elevation would be positive

Now , when x = -x

Substitute the value of the function as -x , we get

f ( - x ) = ( -x + 2 )² + 150

The elevation in feet would give the value to be positive

So , the domain of the function is x as any integer

Hence , the equation will be f ( x ) =  ( x + 2 )² + 150

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Answer:

In 5 years Ahab will have $ 5,400.

Step-by-step explanation:

Given that Ahab has a savings account with $ 4,000 in it that earns 7% simple interest per year, to determine how much money, to the nearest penny, will Ahab have in 5 years, the following calculation must be performed:

4,000 + (4,000 x 0.07 x 5) = X

4,000 + (280 x 5) = X

4,000 + 1,400 = X

5,400 = X

Therefore, in 5 years Ahab will have $ 5,400.

Answer:

74

Step-by-step explanation:

If it is $10 for each GB, you would multiply the amount by 10.

You get $50.

Now you need to add the $24 to get $74 per month :)

Answer: 314.16

Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).

Answer:

10 11/15

Step-by-step explanation:

Rewriting our equation with parts separated

=4+13+6+25

Solving the whole number parts

4+6=10

Solving the fraction parts

1/3 + 2/5 =

5/15+6/15=11/15

Combining the whole and fraction parts

10+11/15=10 11/15

Answer:

Step-by-step explanation:

-10 11/15

Answer:

you could use it in your job, you use math to d taxes.

Step-by-step explanation:

The volume of the prism is 1323 feet³ (cubic feet).

Length= 21 feet.

Width= 9 feet.

Height= 7 feet.

The formula to calculate the volume of rectangular prisms is the following:

\(\sf V_{RP} =l*w*h\); where "l" is the length; "w" is the width, and "h" is the height of the prism.

Check the attached image to see where these values are measured from.

Substitute the variables in the formula by the values on step 1.

\(\sf V_{RP} =l*w*h=(21\ feet)*(9\ feet)*(7\ feet)=\boxed{\sf1323\ feet}.\)

The volume of the prism is 1323 feet³ (cubic feet).

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Answer:

The volume of the rectangular prism is 1323 cubic feet.

Step-by-step explanation:

Step 1: Write down the formula for the volume of a rectangular prism:

\(\qquad\Large\boxed{\rm{\:\:\:V = l \times w \times h\:\:\:}}\)

Step 2: Substitute the given values for the length, width, and height:

\(\qquad\Large\rm{V = 21\: ft \times 9\: ft \times 7\: ft}\)

Step 3: Multiply the numbers together:

\(\qquad\Large\rm\implies{V = 1323\: ft^3}\)

Step 4: Write the final answer with the appropriate units:

The volume of the rectangular prism is 1323 cubic feet.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

631

Step-by-step explanation:

4x105=420

102*102=204

Rewrite the equation:

420+204+7= 631

Answer:

9 bags

Step-by-step explanation:

2 1/4 ÷ 1/4

9/4 ÷ 1/4

9/4 x 4/1 = 9

The equation of the line which is parallel to the line x = -4 will be x = -3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the equation of the line is x = -4. The y-intercept is zero for the line.

The equation of the line parallel to the equation will be,

x = -3

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The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

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