MATHEMATICS HIGH SCHOOL

Evaluate the expression below for x = 4, y = –5, and z = 2. 3x^2 -4y+xza. 12
b. 36
c. 52
d. 76

Answers

Answer 1
Answer: 3(4)^2 -4(-5) + (4)(2)
= 3(16) + 20 + 8
= 48 + 20 + 8
= 76 (d)

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A tent is in the shape of an equilateral triangle. The triangularbase has a length of 4 feet and a height of 3.5 feet. The rectangular sides and bottom of the tent have the dimensions of 6 feet by 4 feet. The surface area of the tent is square feet.
Change the decimal 0.0112 to a fraction. A. 112/10,000 B. 112/100 C. 112/100,000 D. 112/1,000
Which quantity is best expressed as +5?A. a purchase of $5 B. a profit of $5 C. a loss of $5 D. an overdraft of $5
50% of all the cakes Jenny baked that week were party cakes,1/5 were fruit cakes and the remainder were sponge cakes. What percentage of cakes were sponge cakes?
Four times a number, x, plus five times a number, y, equals 79. Ten times x minus 5 times y equals 5. Find the numbers by setting up a system of linear equations and solving the system using the elimination method.a) x = 7, y = 9 b) x = 6, y = 11 c) x = 8, y = 10 d) x = -10, y = 7

In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that if someone is in college, that means the person is more likely to drive. Is Micah’s conclusion correct? Explain

Answers

No, Micah is not correct. Since there are equal numbers of people in each group who drive and who do not drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Based on the survey figures by Micah of the college students who could drive, we can infer that Michah's conclusion is not correct.

Why is Michah not correct?

Out of 60 college students surveyed, only 30 said they could drive. This means that only 50% could drive:

= 30 / 60

= 50%

A 50% relative frequency is not good enough to make the conclusion that one is more likely to drive in college. Rather it means that they are equally likely to drive or not to drive.

Find out more on relative frequency at brainly.com/question/3857836.

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Horses are measured in units called hands. One inch equals 1/4 hand. The average Clydesdale is 17 1/5 hands tall. What is the height in inches? In feet?

Answers

Clydesdale is 17 1/5 hands tall then the height in inches is 68.8 inches and the height in feet is 5.73ft and this can be determined by using arithmetic operations and the unitary method.

Given :

  • Horses are measured in units called hands.
  • One inch equals 1/4 hand.
  • The average Clydesdale is 17 1/5 hands tall.

The following steps can be used to determine the height in inches:

Step 1 - Clydesdale height in hands unit is:

17(1)/(5)=(86)/(5)

Step 2 - Now, if one inch equals 1/4 hands then 86/5 is equal to:

=((86)/(5))/((1)/(4))

Step 3 - Multiply 86/5 and 4/1.

=(86)/(5)* (4)/(1)

Step 4 - Multiply 86 and 4.

=(344)/(5* 1)

Step 5- Further simplify the above expression.

\rm =68.8\;inches

Now, to convert inches in feet use:

1 inch = 0.08333 feet

So, if 1 inch is equal to 0.0833 feet then 68.8 inches is equal to:

=(68.8)/(1)* 0.0833

= 5.73 ft.

For more information, refer to the link given below:

brainly.com/question/24406804
1 inch = 1/4 hand, that means 1 hand = 1*4 = 4 inch.
17 1/5 = [85 + 1]/5 = 86/5,
86/5 hand = 86/5 * 4 = 344/5 = 68.8 inch, 
1 feet = 12 inch, 
68.8 inch = 68.8/12 = 5.73 feet. 
Avg. Clydesdale height = 17 1/5 hand = 68.8 inch = 5.73 feet.

Tanesha’s utility and telephone bills for the month totaled $150. The utility billwas 4 times as much as the telephone bill. How much was each bill?

Answers

X represents the cost of the phone bill

4x + x = 150
5x = 150
X = (150/5)
X = 30

Therefore the telephone is $30 and the utility bill is $120

A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, the volume of the box will be [1] cubic inches.

Answers

Answer:

The volume of the box is 33.796 cubic inches

Step-by-step explanation:

Given

Height = 7in

See attachment for the base of the prism

Required

The volume of the box

From the attachment, we have:

a = 1in -- side length of the octagon

The area is then calculated as:

Area = 2 * (1 + \sqrt 2)a^2

So, we have:

Area = 2 * (1 + \sqrt 2)* 1^2

Area = 2 * (1 + \sqrt 2)* 1

Area = 2 * (1 + \sqrt 2)

Evaluate the square root

Area = 2 * (1 + 1.414)

Area = 2 * (2.414)

Area = 4.828

The volume is then calculated as:

Volume = Height * Base\ Area

Volume = 7 * 4.828

Volume = 33.796

The volume of the box is 100 cubic inches.

To find the volume of an octagonal prism, we need to know the area of the base and the height of the prism.

The area of an octagon can be calculated using the following formula:

Area of octagon = 1/2 * apothem * perimeter

where the apothem is the distance from the center of the octagon to one of its sides and the perimeter is the total length of all the sides of the octagon.

In this case, we don't know the apothem or the perimeter of the octagon, so we can't calculate the area of the base using the formula above. However, we can estimate the area of the base by drawing a square inside the octagon and a circle inside the square.

The square will have an area of 16 square inches and the circle will have an area of about 12.5 square inches. Therefore, the area of the octagon is somewhere between 12.5 and 16 square inches.

Since we are estimating the area of the base, we will use the average of 12.5 and 16 square inches, which is 14.25 square inches.

The volume of the box is calculated as follows:

Volume of box = Area of base * Height

Volume of box = 14.25 square inches * 7 inches = 100 cubic inches

Therefore, the volume of the box is 100 cubic inches.

For such more question on volume:

brainly.com/question/463363

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What is the value of y?4y2 + 8 = 264

± ______

note: the 2 next to the y is an exponent.

Answers

4y^2+8=268

remember you can do anything to an equaiotn as long as you do it to both sides

isolate variable

4y^2+8=264
minus 8 both sides
4y^2+8-8=264-8
4y^2+0=256
4y^2=256
divide both sides by 4
y^2=64
sqar both sides
y=+/-8


8 goes in blank
4y^2+8-8=264-8
4y^2/4=256/4
y^2=64
Sqaure root 64
Y=8

Graph the Inequality.

Answers

Answer:

x ≤ -7

Step-by-step explanation:

There is a filled in circle which means that it is either ≤ or ≥.

The graph is going to the left, which means it is ≤

The starting number is -7.

x ≤ -7
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