A wise man once said, “400 reduced by 4 times my age is 168.” What is his age?

Answer:

100.8 minuts

Step-by-step explanation:

12 question = 5 min

1 question = 12/5 min

42 question = (12/5)  * 42 min

                    = 100.8 min

Answer:

100.8 minutes

Step-by-step explanation:

proportion

12 over 5 = x over 42

12*42=504

504/5

100.8 minutes

Answer:

r = -1

Step-by-step explanation:

To get r isolated, you have to divide each side by -7

7 divided by -7 is -1, therefore r = -1

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]       or      [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

a = 1, b = 1, c = -182

[tex]\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}[/tex]       or     [tex]\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}[/tex]

[tex]\frac{-1+\sqrt{1+728} }{2}[/tex]      or         [tex]\frac{-1-\sqrt{1+728} }{2}[/tex]

[tex]\frac{-1+\sqrt{729} }{2}[/tex]            or    [tex]\frac{-1-\sqrt{729} }{2}[/tex]

[tex]\frac{-1+{27} }{2}[/tex]     or    [tex]\frac{-1-{27} }{2}[/tex]

[tex]\frac{26}{2}[/tex]     or    [tex]\frac{-28}{2}[/tex]

13 or    - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

The equation for this graph would be Y=1.50x+2.50.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

How to solve?

Because 1.50 is the price per mile and 2.50 is the starting price for the ride.

The equation for this graph would be Y=1.50x+2.50.

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Answer:

Required margin of error  = 20

Step-by-step explanation:

Required margin of error = 20

so , option (2) is the correct answer.

Explanation:

Values are given as,

we will have to need confidence level to calculate margin of error so ,we assume 95% confidence level .



z = 1.96 (critical value of 95%)

sample size n = 25

standard deviation = 50

Using the formula

Margin of error E =  z∗(σ/ n )  

putting the values

1.96∗(50/ 25)  

= 19.6

=20

Required margin of error :  E = 20

Answer: Jo's margin of error is M = 20

Step-by-step explanation:

The margin of error can be calculated as:

M = z*σ/√n

where:

z depends on the confidence interval with we are working, let's use 95%, so z = 1.96

σ = standard deviation = 50

n = number of the sample.

So for Jo we have:

M = 1.96*50/√25 = 1.96*50/5 = 1.96*10 = 19.6

So if we round it to the nearest whole number, we should round up, and we get:

M = 20

Assuming that the diameter of the circle is the square's side, then we have

Area of square: S1=10×10=100in²

Radius of circle: r=10/2=5in

Area of circle: S2=pi×r²=3.14×5²=78.54in²

Remaining area: S1-S2=100-78.54=21.46in².

Rounding to the nearest tenth: 21.5in².

Answer: 21.5in²

The area of the square not covered by the circle is calculated by first determining the areas of the square and the circle, and then subtracting the latter from the former. The area of the square is 100 square inches and the area of the circle is approximately 78.5 square inches. Subtracting these gives approximately 21.5 square inches.

First, let's find the area of the square. Since all sides are equal in a square, the area can be found using the formula side ⨉ side. In our case, the sides of the square are 10 inches, so the area is 10 inches ⨉ 10 inches = 100 square inches.

Next, we'll need to find the area of the circle. The radius of the circle is equal to half the length of a side of the square, or 5 inches. Use the formula for area of a circle, which is πr². So the area of the circle is π(5 inches)² = 25π square inches ≈ 78.5 square inches.

To find the area of the square not covered by the circle, simply subtract the area of the circle from the area of the square. 100 square inches - 78.5 square inches = 21.5 square inches, thus this is the area of the square not covered by the circle.

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Answer:

the answer is D

Step-by-step explanation:

x is 7 and y is 1 . just replace the x and y with 7 and 1 , so its 1= -7+8

Answer: y=-x+8

Step-by-step explanation: When 1 is plugged in as x for another equation, y is not equal to 7. However, when you plug 1 in here, you get y equal to 7. Therefore, this is the solution.

Answer:

B length = 8 in.; width = 4 in

Step-by-step explanation:

Given

the length L = w + 4

Perimeter = 24 inches

Perimeter of a rectangle

= 2(L + W)

We now have two equations.

Equation 1: L = w + 4

Equation 2: P = 2(L + W)

Substitute L as w + 4 into equation 1. And 24 for p

Therefore

24 = 2(w + 4 + w)

24 = 2(2w + 4)

Distribute 2 into (2w + 4)

We have

24 = 2 x 2w + 2 x 4

24 = 4w + 8

Subtract 8 from both sides

24 - 8 = 4w + 8 - 8

16 = 4w

Divide both sides by 4

16/4 = 4w/4

4 = w

w = 4 inches

Now substitute 4 for w into either of the equations to get

L.

Using equation 1 , we have

L = w + 4

L = 4 + 4

L = 8 inches

Answer:

12 oak as best value

Step-by-step explanation:

Answer: the numbers are 9 and 2

Step-by-step explanation:

Let the numbers be a and b

a + b = 11.........equation 1

ab = 18.......equation 2

Multiply equation 1 by a

a ^2 + ab = 11a.......equation 3

Substitute the value of ab from equation 2 into equation 3

a ^2 + 18 = 11a

a^2 - 11a + 18 = 0

(a-9) x (a-2) = 0

If a = 9, then b =2

I hope this helps, please mark as brainliest answer.

Answer:

Problem:  Jamie was driving for 24 miles in the first hour and 36 miles is the second hour.  But, she stopped at a gas station 1/4 of the total drive.  Find how far the gas station is from her start.

Answer:  

24 + 36 = 50

50 * 1/4 = 50/4

50/4 = 12.5

Explanation:  The gas station is 12.5 miles from her start to a 50 mile journey.  The gas station was 1/4 of the total drive which was 50 miles.  1/4 of 50 is 12.5

Option D:

[tex]$\cos60^\circ=\frac{7}{14}[/tex]

Solution:

Given data:

[tex]$\cos -- = \frac{7}{14}[/tex]

Let the unknown degree be x.

To find the degree x:

[tex]$\cos x = \frac{7}{14}[/tex]

Cancel the common factor 7 in the numerator and denominator.

[tex]$\cos x = \frac{1}{2}[/tex]

Using trigonometry basic formula,

we know that [tex]\cos60^\circ = \frac{1}{2}[/tex].

So, x = 60°.

The unknown degree measure is 60°.

[tex]$\cos 60^\circ= \frac{7}{14}[/tex]

Hence option D is the correct answer.

Answer:

Option C is the right answer

Step-by-step explanation:

the correct answer would be Side = 14cm, side = 6 cm, side = 7cm

Answer:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

1.365

Step-by-step explanation:

Answer:

A. 4.5

Step-by-step explanation:

sorry if its wrong it was correct for me

Answer:

Scale did the architect use to create the scale of the sports stadium is 1 inch = 15 feet.

Step-by-step explanation:

Given : An architect build a scale model of a sports stadium that was 12 inches. The actual height of the building was 180 feet.

To find : Which scale did the architect use to create the scale of the sports stadium?

Solution :

An architect build a scale model of a sports stadium that was 12 inches.

The actual height of the building was 180 feet.

The scale is determined by number of feet used in 1 inch.

i.e. For 12 inches it is 180 feet

For 1 inch = [tex]\frac{180}{12}[/tex] feet

1 inch = 15 feet

Therefore, scale did the architect use to create the scale of the sports stadium is 1 inch = 15 feet.

Answer:

7.14

Step-by-step explanation:

Just use a calculator and type in the [tex]\sqrt{51}[/tex]

Answer:

Surface Area

Step-by-step explanation:

Its's basically the total area of all faces in the three-dimensional figure.

Final answer:

The total area of all the faces of a three-dimensional figure is known as the surface area. It can be calculated differently based on the shape, like multiplying one face's area by six for a cube or summing up the areas of each face for a more complex shape.

Explanation:

The total area of all the faces of a three-dimensional figure is called the surface area. There are various methods to calculate the surface area depending on the shape of the three-dimensional object. For example, a cube has six faces, and the surface area can be found by calculating the area of one face and then multiplying by six. For more complex shapes, one might need to calculate the area of each face separately and sum them up.

For instance, taking a cube, if each face has an area of 4 square inches, then the total surface area of the cube would be 4 square inches multiplied by 6 faces, resulting in 24 square inches. If we then divide this cube into smaller cubes, the surface area-to-volume ratio of these smaller cubes would increase. When dealing with areas or volumes of objects with complex shapes, often, they're idealized to reflect simpler shapes like a cube or a sphere.

Answer:

The exact radius is 17.99 but I guess you can round it to get 18cm.

Step-by-step explanation:

Next time if you still get these questions, you can use a online calculator to help you!

Answer:

The solution in the attached figure

Step-by-step explanation:

step 1

Place the numbers  -4, 4, 0, and -3 in the left side

Adds the numbers

[tex]-4+4+0-3=-3[/tex] ----> is correct

step 2

Place the numbers  3, -1, and -2 in the right side

Adds the numbers

[tex]-3+3-1-2=-3[/tex] ----> is correct

step 3

Place the numbers  1 and 2 in the base side

Adds the numbers

[tex]-4+1+2-2=-3[/tex] ----> is correct

The solution in the attached figure

Equation is y = 1/5x - 2

Step-by-step explanation:

⇒ y = 1/5x + (-2)

∴ y = 1/5x - 2

Answer:

-17

Step-by-step explanation:

You replace the t with 7 making the equation , f=-2(7)-3. Using PEMDAS, you solve -2 x 7 making it -14. Finally, subtract -3 from -14 making it -17.

Answer:

The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.

Step-by-step explanation:

This is because the range is greater and the minimum and maximum are higher numbers.

The solution to the box plot is is the lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.

Given data ,

Let the box plots be represented as A and B

Now , the box plot A represents the minutes Mom used to spend during reading

And , the box plot B represents the minutes Dad used to spend during reading

From the box plots , we can see that the range is greater in the box plot A and the minimum and maximum are higher value numbers when Mom is reading the bedtime stories

Hence , from the box plots lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads

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Answer:

5x +16

Step-by-step explanation:

2 (x+6) + 3x + 4

Distribute the 2

2x+12 +3x +4

Combine like terms

2x+3x   +12 +4

5x +16

The quotient of 5,680 divided by 80 with a remainder division by a 2-digit number is 71 with a remainder of 1 and 15/25.

When dividing 5,680 by 80, we get a quotient of 71 and a remainder of 40. Now, we divide the remainder by a 2-digit number. Let's say the 2-digit number is 25. When we divide 40 by 25, we get a quotient of 1 and a remainder of 15. Therefore, the final quotient is 71 with a remainder of 1 and 15/25.

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Answer: 81,250

Step-by-step explanation: find the area. Multiply the length x width. I got 81,250 by multiplying these numbers.

A field that is 250 feet wide and 325 feet long, can be calculated as 81,250 square feet. Since one acre equals 43,560 square feet, this field's size is approximately 1.87 acres.

The question is about converting a field measure in feet into acres. Given that the field is 250 feet wide and 325 feet long, the total area in feet is found by multiplying these two dimensions. Thus, the total area is 250 * 325 = 81,250 square feet.

Now, to convert this into acres, we should know that 1 acre is equal to 43,560 square feet. So, to calculate how many acres is 81,250 square feet, we divide 81,250 by 43,560.

This gives 1.87 acres (rounded to two decimal places). So, this field's size, planted with strawberries, is approximately 1.87 acres.

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Answer:

y=-2/3

7y-16y-2=4

7y-16y=6

-9y=6

-y=6/9

simplify

y=-2/3

Answer: Candidate B has 69,500 votes!

Step-by-step explanation:

one easy way to solve this is by dividing 109,000 in half and that gives us

54500 and 54500 but since Candidate C has 15000 less

we subtract 15000 from candidate c and add 15000 from candidate b

which gives us

Candidate C= 39,500 votes

Candidate B= 69,500 votes

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Answer: M=3.7

Step-by-step explanation:

Answer:

9.95 pounds

Step-by-step explanation:

(98 - 81.68) ÷ 1.64

= 9.95