EXERCISE 22.2A
1 A heater uses 3 units of electricity in 40 minutes.
How many units does it use in 2 hours?
2 A machine prints 1500 newspapers in 45 minutes.
How many does it print in 12 hours?
3 A bricklayer lays 1200 bricks in an average 8-hour day.
How many bricks does he lay in a 40-hour week?
4 A combine harvester produces 9 tonnes of grain in 6 hours.
How many tonnes does it produce in 54 hours?
5 A machine puts tar on a road at the rate of 4 metres in 5 minutes.
a) How long does it take to cover 1 km of road?
b) How many metres of road does it cover in 8 hours?
181

Answers

Answer 1

Answer:

1. 6 units

2. 24,000 newspapers

3. 6,000 bricks

4. 81 tons

5. a) 1,250 minutes or 20 hours and 50 minutes

    b) 384 meters

Step-by-step explanation:

ill include a picture of my work if u need it. sorry if its messy, it's how my brain works

EXERCISE 22.2A1 A Heater Uses 3 Units Of Electricity In 40 Minutes.How Many Units Does It Use In 2 Hours?2

Related Questions

What is the y-coordinate of the ordered pair that satisfies the system of linear equations?
6x+4y= -14
-x - 5y=11

A. 2
B. 1
C. -1
D. -2

Answers

Answer:

D

Step-by-step explanation:

the answer is d hope this helps

a) If volume of a cylinder is 4817 and the radius is 4, find the height.

Answers

Answer:

71. 8

Step-by-step explanation:

volume of a cylinder = 4/ 3 π r² h

=> 4817 = 4/ 3 × 22/ 7 × 4² × h

=> h = (4817 × 3 × 7)/ (4 × 22 × 4²)

=> h = 71.8

I don’t think that I’m correct but the answer is 7.8

Find the area of the shaded region.

Answers

Answer:

Area of  shaded region = 134.13 square feet

Step-by-step explanation:

Area of the shaded region = Area of square - Area of circle

                                         [tex]= ( 25 \times 25) - ( \pi 12.5^2)\\= 625 - 490.87\\= 134.13 ft^2[/tex]

What is the surface area of the figure?
428 ft²

560 ft²

632 ft²

888 ft²

Answers

Answer:632 ft²

Step-by-step explanation:

Please help me show my work for, Larry has a piece of wood that is 2.45 feet long and 2.097 inches wide. Part B: Using the width of the wood in Part A, what is the area, in square feet, of the piece of wood rounded to the nearest hundredth? Plsss hurry and help me

Answers

Answer: 0.43ft²

Step-by-step explanation:

You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.

Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:

= 2.45 × 0.17475

= 0.4281375 ft²

= 0.43ft² to nearest hundredths

Note 1 foot = 12 inches

Therefore, 2.097 inches = 2.097/12 = 0.17475 feet

Determine the discriminant for the quadratic equation 0=-2x^2+3. Based on the discriminant value, how many real number solutions does this equation have ? Discriminant = b^2-4ac

Answers

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].

All quadratic equations can be solved with the quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex].

When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

[tex]0=-2x^2+3[/tex]

We are given above equation. Notice how there are values for a and c but none for b, as there is no bx term. This means that the value of b is 0. We can rewrite the equation so it shows this:

[tex]0=-2x^2+0x+3[/tex]

Now that we have the values of a, b and c, we can plug them into the discriminant:

[tex]D=0^2-4(-2)(3)\\D=-4(-2)(3)\\D=-4(-6)\\D=24[/tex]

Because 24 is positive, there are two real, distinct solutions for this equation.

I hope this helps!

Find the surface area

Answers

Step-by-step explanation:

so for this one u do

[tex]15 \times 9 + 9 \times 4 + 15 \times 4[/tex]

231 the times it by 2 for the both sides

231×2=462 cm2

hope this make sense :)

What are all the values of x for which √x-3 is an imaginary number?

Answers

Answer:

x < 3

Step-by-step explanation:

if the value under the square root sign is negative the result is imaginary.

Cassie entered a 5 km race. she ran 3 km. how many meters did Cassie run? Plz help me​

Answers

Answer:

3000 Meters?

Step-by-step explanation:

I say the question mark because kilo quite literally just means 1000. If she ran 3 of these sets of Kilometers, that would be 3000.

Answer:

3000 meter hope this helps

What is one way to test whether an unknown solution is acidic or basic?

Answers

Answer:

Bases change red litmus into blue and bases have a slippery and soapy texture. Therefore, we can conclude that out of the given options, one way to test whether an unknown solution is acidic or basic is to check whether the solution has a slippery feel

Step-by-step explanation:

I NEED HELP ASAP!!!!

Answers

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

Which choice is equivalent to the fraction below? 6/(sqrt(3))

Answers

Answer:

A. 2sqrt3

Step-by-step explanation:

Hope this helps!

Calculate the exact value of 0.5/0.5 * 0.3. Show working please

Answers

Answer:

0.3 if you typed the calculating correctly.

because then all operations are of the same priority and ranking, and we go simply from left to right :

0.5/0.5 = 1

and then there is 1 × 0.3 = 0.3

but if you missed to write any brackets like for

0.5/(0.5 × 0.3)

then this goes differently, because now 0.3 is in the bottom part of the division/quotient.

we can still shorten the expression, as the 0.5 on top and on the bottom eliminate each other to 1. but it leaves us with

1/0.3

now, what is 0.3 ?

it is actually 3/10.

so, we have 1/(3/10) which is the same as

(1/1) / (3/10)

to solve this, the two inner numbers of the quotient multiply and the two outer numbers multiply giving us

(1×10) / (1×3) = 10 / 3 = 3.33333...

so, please pick the solution that best fits your actual question.

someone PLEASE help me. this is an area of sectors problem and im confused.

explaining your answer = brainliest/five stars

The radius of a circle is 6 feet. What is the area of a sector bounded by a 126° arc?

give your exact answer in SIMPLEST FORM

Answers

Answer:

12 3/5 pi

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = pi ^^2

A = 36 pi

Then find the fraction of the circle that is shaded

A circle is 360 degrees

126/360 =7/20

Multiply the area by the fraction

7/20 * 36 pi

63/5 pi

12 3/5 pi

Answer:

the area of sector is

[tex] \frac{126}{360} \times \pi \times 6 {}^{2} = \frac{63}{5} \pi[/tex]

Andy and Beth are walking at a constant pace around a circular track. At one point, Andy turn and walks at the same pace directly to the flag pole at the center of the track while Beth continues at the same pace around the track How far did Beth walk, in radians, after they separated?

Answers

Answer:

?

Step-by-step explanation:

Help me please !!!!!!!!!!!

Answers

Answer:

option 1

Step-by-step explanation:

[tex]Area = \frac{3}{4} \times \frac{5}{6} = \frac{15}{24}[/tex]

three slices of mcdonald's pizza have 798 calories kylon ate 6 slices of the same pizza every saturday night for four weeks how many calories would he have consumed over four weeks.

Answers

answer:

20 out of 798

Step-by-step explanation:

6x4=20

Which of the following represents
the graph of this equation?
Help Resources
y = |x - 2|

Answers

Answer:

There isnt a graph.

Step-by-step explanation:

Find the missing side. Round to the nearest tenth.
A.7.1
B.5.1
C.5.1
D.6.1​

Answers

Answer:

5,1

Step-by-step explanation:

x= tan27⁰ x 10 ≈ 5,1

.....

Answer:

b or c or 5.1

Step-by-step explanation:

The basic trig identity that does not involve the hypotenuse is the Tan(theta).

Tan(theta) = opposite / adjacent. That definition applies only to a right triangle. It has to be modified if the triangle is some other kind.

The opposite side is the one not making up the reference angle (x in this case).

The adjacent side is the one making up the angle that is not the hypotenuse.

opposite side = x

adjacent side = 10

theta = 27 degrees.

Tan(theta) = opposite / adjacent

Tan(27) = x / 10

Tan(27) = 0.5095

0.5095 = x / 10               Multiply by 10

10*0.5095 = x

x = 5.095

It rounds to 5.1

No one except the answer key can know whether to choose b or c.

Solve for the roots using the quadratic formula. Express your answers to two decimal places.
2x^2 − 5x − 1 = 0

Answers

Answer:

x = 2.69 or x = -0.19

Step-by-step explanation:

Given:

2x² − 5x − 1 = 0

x = {-b ± √b² - 4ac} / 2a

a = 2

b = -5

c = -1

x = {-b ± √b² - 4ac} / 2a

= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2

= {5 ± √25 - (-8)} / 4

= {5 ± √25 + 8} / 4

= 5 ± √33 / 4

= 5 ± 5.75 /4

x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4

x = 10.75/4 or x = -0.75/4

x = 2.69 or x = -0.19

Write an equation that represents the line

Answers

Answer:

[tex]y = \frac{3}{2}x +2[/tex]

Hope this helps!

The answer is :Y=3/2x+3

Find the product.
7 × 7 =

Answers

Answer:

49

Step-by-step explanation:

Seven times seven (7x7) equals forty-nine

Answer:

The answer is forty nine (49)

A ... has one triangular base and three triangular lateral faces.

Rectangular Prism
Square Pyramid
Triangular Pyramid
Triangular Prism

Answer quick Please!

Answers

Hope this help!!!

Have a nice day!!!

Answer:

that gy is rong dount do it

Step-by-step explanation:

HELLLLLLPPPPP!!!!!!!!!!!!!

Answers

Answer:

Acute angled and scalene because if the sum of two angles is 110 then the third angle should be 70 which is acute angle

acute-angled and isosceles

P= -4b^2+6b-9
Q= 7b^2-2b-5
P-Q=

Answers

Answer:

P - Q = - 11b² + 8b - 4

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

A swimming pool has a length of 12 feet, a width of 8 feet, and a depth of 9 feet. What is the volume of the pool in cubic feet?

Answers

Answer:

V=864 cubic feet

Step-by-step explanation:

Volume of a rectangular prism is Length x width x depth

So V=12x8x9

V=864 Cubic feet

Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest.

Answers

Answer: A

Step-by-step explanation:

Each gallon costs 3 dollars.

8(gallons) times $3(for each gallon) = 24(dollars).

12. Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50. A few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store. What is the least possible number of times that Mariam has been to the store? Just write the number. *

Answers

The answer of the question is 5

The seating capacity of a basketball stadium is 5,782. The seats are arranged in 24 sections of the same size. Any seats that are leftover from the 24 sections are called priority seats. How many seats are priority seats? I did not understand how to solve this problem.

Answers

Divide capacity by sections:

5782 / 24 = 240.9167

The number of seats in each section is needs to be a whole number so there are 240 seats per section:

240 seats per section x 24 sections = 5,760 seats.

Priority seats is capacity - total section seats:

5782 - 5760 = 22

There are 22 priority seats

If p + q + r = 4 and -p + q + r = 2, then p=?

(A) -2
(B) -1
(C) 0
(D) 1
(E) 2

Answers

Answer:

D

Step-by-step explanation:

by subtraction of these 2 equation,

2p = 2

p = 1

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