estimate 54.57 + 47.870 by first rounding each number to the nearest whole number

Answer: Use order of operations (PEMDAS). Answer is 45.72.

Step-by-step explanation:

First, solve inside parenthesis:

(5.25*1 1/5 - 4.5*4/5)

Convert 1 1/5 into decimal. It will be easier. 1 1/5 is the same as 1.2

Do multiplication and division first.

5.25*1.2 = 6.3

Now it looks like: (6.3 - 4.5*4/5)

Convert 4/5 to a decimal: 4/5 = 0.8

(6.3 - 4.5*0.8)

Multiply 4.5*0.8 = 3.7

Subtract (6.3 - 3.7) = 2.6

Now the full equation is: 19.6*2 1/5 + (2.6)

2 1/5 as a decimal: 2.2

Multiply 19.6*2.2 = 43.12

Now the equation is: 43.12 + 2.6

Add 43.12 + 2.6 = 45.72

Answer:

wait, what the question? y is raised to what?

Step-by-step explanation:

Answer:

21√2 m

Step-by-step explanation:

AC = √AD²+CD²

= √21²+21²

=√2×21²

= 21√2 m

Answer:

I think its 42 maybe? I'm maybe wrong though.

Given:

The given equation is [tex]x^{2} -3x-7=0[/tex]

We need to determine the exact solutions of the equation.

Exact solution:

The exact solution of the equation can be determined by solving the equation using quadratic formula,

[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

[tex]x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}[/tex]

[tex]x=\frac{3 \pm \sqrt{9+28}}{2}[/tex]

[tex]x=\frac{3 \pm \sqrt{37}}{2}[/tex]

Thus, the exact solutions of the given equation is [tex]x=\frac{3 \pm \sqrt{37}}{2}[/tex]

Hence, Option A is the correct answer.

Answer:

total annual cost = $682.50

Step-by-step explanation:

given data

Stefan age = 36 year

bought amount =  $150,000

policy time period  = 10 year

solution

we get here Stefan’s annual premium so here

policy for 10 year cost =  $4.55 per thousand dollars

as given in attachment data

total amount of thousands of coverage will be

amount of thousands of coverage = [tex]\frac{150,000}{1,000}[/tex]   = 150

and

total annual cost =  150 × $4.55

total annual cost = $682.50

Answer:

36 feet

Step-by-step explanation:

The diameter is 120 ft, which means the radius is 60 ft.

240° counterclockwise from the bottom of the circle is a standard angle of 150°.

The vertical position is therefore:

y = 6 + 60 sin 150°

y = 36

Answer: 96

Step-by-step explanation:

Answer:

yes 3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Cost = 3.12 × n

Where n is the no. of kgs

Answer:

Comprehensive deductible

Step-by-step explanation:

There is nothing called Premium deductible rather deductible determines how higher of lower a premium on a subject matter of insurance can be. Deductible is the amount with the insured have to bear at loss and any excess above the loss will be compensated by the insurance company.

Comprehensive deductible is the application to only to comprehensive insurance which was what Chad had on his motor vehicle. Comprehensive insurance covers majority of peril that happens to the insured vehicle. Therefore, comprehensive deductible is the deductible Chad has to bear himself before the insurance company take other losses upon theirself..

If he had $500 deductible on his car and total repair cost $700, then he will bear the $500 while the insurance company is entitled to pay only $200 as per policy statement.

Answer:collision

Step-by-step explanation:

Answer:

11 * w

Step-by-step explanation:

"product" in math means "multiply". "The product of 11 and w" is "the multiplication of 11 and w".

Write the expression:

The Multiplication: *

11 and w: 11 * w

11 * w is your answer.

~

Answer:

Points pointed and labeled

Step-by-step explanation:

Answer:

1. The monthly payment is $689.5

2. The total amount to be paid is

$224,580.

Step-by-step explanation:

Salsa and Corn Broom all reached an agreement upon the price of $197,000.

- The plan on making a 30 percent down payment. This implies that the will pay 0.3 × $197,000 = $59,100

This leaves them with

$197,000 - $59,100

= $137,900 to pay.

The plan on financing this remaining amount at 6 percent for 20 years.

This means they will pay

0.06 × $137,900 = $8,274 for 20 years. This translates to the payment of $8,274 × 20 = $165,480 across the 20 years.

1. The monthly payment is the yearly payment divided by 12.

Which is $8,274 ÷ 12 = $689.5

2. The total amount to be paid is

$165,480 + $59,100

= $224,580.

Answer:

2170 feet squared

Step-by-step explanation:

(75 feet × 30 feet) - (10 feet × 8 feet)  = 2170 feet squared

Answer:

3.4 seconds

Step-by-step explanation:

First, you have to change 20mph to feet per seconds. To do this, multiply mphs by 1.4667. When you multiply 20mph by 1.4667, you get 29.3333 fps.

Divide 100 by 29.333 to get 3.40909478 (3.4) seconds

Answer:

3.41 sec

Step-by-step explanation:

We need to use the formula: [tex]d=rt[/tex] , where r is the rate of the object, t is the time, and d is the distance.

Here, we know that the distance is 100 ft and that the rate is 20 mph. However, let's change the distance to miles because the rate is in miles.

There are 5280 ft in 1 mile, so:

5280/1 = 100/x  ⇒  x = 100/5280

Then, d = 100/5280 miles and r = 20. Plug these in to find t:

100/5280 = 20t

t = (100/5280) / 20 hours

Now, we need to convert hours to seconds. There are 3600 seconds in 1 hour, so multiply our current t by 3600:

t = [(100/5280) / 20] * 3600 ≈ 3.41 sec

Hope this helps!

Step-by-step explanation:

as we know that the power will be multiplied then

[tex] ({5}^{3} ) ^{6} [/tex]

[tex] {5}^{18} [/tex]

Hope it will help :)

Answer:

(x , y) ---> (x , 2-y)

Step-by-step explanation:

Some examples:

(3,0) would map on to (3,2)

(3,1) would be unchanged after mapping

(3,-1) would map onto (3,3)

To reflect triangle A across the line y = 1, determine the corresponding points and apply symmetry properties. By understanding geometric transformations and symmetry, you can accurately visualize the new position of the triangle.

Reflecting triangle A in the line y = 1 involves transforming the triangle's position by flipping it over this horizontal line. This reflection will create a new image of the triangle across the line y = 1.

To reflect triangle A in y = 1, you need to locate the corresponding points across the line concerning their distance from the line itself. For instance, a point (x, y) would transform to (x, 2 - y) after reflection across y = 1.

Understanding symmetry properties and geometric transformations is crucial in reflecting shapes across lines, helping to visualize changes in position accurately.

Answer:5

Step-by-step explanation:

5*3+2=17

10-5=<7

Answer:

I think it is 112 cm^3.

Step-by-step explanation:

The face of the object is 14 (1cm^3) cubes. The side has 8.

14 x 8 = 112 cm^3

I hope this helped !

Answer:

56

Step-by-step explanation:

To find volume, you multiply lengh x width x height.

Answer:

A

Step-by-step explanation:

10 + 5 = 15

Answer: A

Step-by-step explanation:

x+5=15

  -5  -5

x=10

Answer:

It's 0 I am so smart lol

Step-by-step explanation:

Watch out somebody might delete your question

Answer:

The answer is 1229. 1229.7 if you would like to be exact.

Step-by-step explanation:

Answer:

the answer to the nearest tenths is 7.8

Answer:

your answer is B

Step-by-step explanation:

This question was incomplete. Here is the complete question:

Point W is located on QR so that QW/QR = 3/4. What are the coordinates of point W?

The picture of the question is attached herewith.

Answer:

The coordinates of W will be (9, 9)

Step-by-step explanation:

This question can be solved using the concept of similar triangles. In similar Triangles the ratio of the LENGTHS of their corresponding sides is equal.

So firstly we will complete the triangle by drawing a horizontal and vertical line joining at P. The coordinates of P will be (11, 3). The length QP will be 8 units. The length PR will be 8 units as well. This has been drawn for you in the diagram attache.

Next we will mark any point on line QR as W. The distance of W from Q is taken as x and the vertical distance of W from QP is taken as y.

Now using the similar triangle ratio rule.

The side represented by x is corresponding to side QP so:

x/8 = 3/4

x = 6

Similarly the side represented by y is corresponding to side PR.

y/8 = 3/4

y = 6  

Adding these lengths with the starting coordinate of Q(3, 3) to find the value of coordinates of W.

So 3+6 = 9 is the x coordinate of W and

3 + 6 = 9, is the y coordinate of W

W = (9, 9) ANS

Answer: 27 degrees

Step-by-step explanation: 180-90 because its perpendicular -63=27

A good estimate for 30% of 72 is 24, calculated by finding one-third of 72 or multiplying 10% of 72 by 3. This provides a reasonably close value quickly and without needing a calculator.

Estimating 30% of 72

To find a reasonable estimate for 30% of 72, we can use mental math to simplify the calculation. 30% is close to one-third, and for an estimate, one-third of 72 can be found by dividing 72 by 3, which gives us 24. Thus, a reasonable estimate for 30% of 72 is approximately 24. This is not an exact calculation, but it's a quick way to get a rough estimate that is easy to handle and useful for making plans that do not require precise amounts.

It's important to note that while certain percentages are easier to compute, such as 10% (simply move the decimal point one place to the left), 30% can be estimated by finding 10% of the number and then multiplying that by 3. Here, 10% of 72 is 7.2, and multiplying that by 3 gives 21.6, which rounds up to 22, slightly lower than our one-third estimate of 24.

Answer with Step-by-step explanation:

We are given that height of projectile after t seconds is given by

[tex]h(t)=96t-16t^2[/tex]

a.h(t)=144 ft

[tex]144=96t-16t^2[/tex]

[tex]16t^2-96t+144=0[/tex]

[tex]t^2-6t+9=0[/tex]

[tex]t^2-3t-3t+9=0[/tex]

[tex]t(t-3)-3(t-3)=0[/tex]

[tex](t-3)(t-3)=0[/tex]

t-3=0

t=3

After 3 s, the height of the project will be 144 feet in the air.

b.h(t)=0

[tex]96t-16t^2=0[/tex]

[tex]16t(6-t)=0[/tex]

[tex]16t=0\implies t=0[/tex]

[tex]6-t=0\implies t=6[/tex]

At t=0, the initial position of projectile

At t=6 s , the projectile will hit the ground.

Answer:

The first one is 3 seconds. The second one is 6 seconds

Step-by-step explanation:

The right answer is of option D.

Hope it will help u....

Answer:

We cannot answer this question because there isn't a line plot for us to drag the data onto.

Create a line plot with radii lengths on the x-axis and frequency on the y-axis, connecting plotted points accordingly.

First, organize the data into a list or table format, with the lengths of the radii listed in feet:

1/2, 1/2, 3/8, 3 1/6, 3 1/6, 3 1/6, 1/2, 3/8, 12, 7 1/6

Next, you'll create a number line representing the lengths of the radii. You'll mark each length on the number line and then plot points above each mark corresponding to the frequency of each length.

For example:

- If there are two radii with a length of 1/2 foot, you'll plot two points above the mark for 1/2 on the number line.

- If there are three radii with a length of 3/8 foot, you'll plot three points above the mark for 3/8 on the number line.

- Similarly, for other lengths, mark and plot points accordingly.

Once you've plotted all the points, you'll connect them to form a line plot. The x-axis will represent the lengths of the radii, and the y-axis will represent the frequency of each length.

Answer:

One hour and 20 minutes.

Step-by-step explanation:

Answer:

1 hour and 20 min. or 1 hour and 30 min

(This is a very confusing thing for me that's why it's either those 2)

Answer:

A. 320

Step-by-step explanation:

See attachment for the figure

in order to determine Area of quadrilateral ABDF, we'll use the formula i.e

Area of quadrilateral ABDF = Area of AECD - Area of ΔBCD - Area of ΔDEF ->eq(1)

whereas, area of AECD = (AC × AE)

Area of ΔBCD = 1/2 (BC x CD)

Area of ΔDEF =1/2 ( EF x ED)

Substituting in eq(1)

eq(1)=>

Area of quadrilateral ABDF =  (AC × AE)  - 1/2 (BC x CD)- 1/2 ( EF x ED)

                  =(32 x 20) - 1/2(16 x 20) - 1/2(10 x 32)

                  = 640 - 160 - 160

                  = 640 - 320

                 = 320 square unit

Therefore, the area of quadrilateral ABDF is 320 square unit