Terry is going to make some concrete mix. He needs to mix
cement, sand and gravel in the ratio 2 . 3 : 5 by weight. He
estimates he needs to make 220 kg of concrete mix.
Terry has:
• 50 kg of cement
• 90 kg of sand
• 100 kg of gravel
Does Terry have enough cement, sand and gravel to make the
concrete mix?

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Sum the parts of the ratio, 2 + 3 + 5 = 10 parts

Divide 220 Kg by 10 to find the value of one part of the ratio.

220 Kg ÷ 10 = 22 Kg ← value of 1 part of the ratio, thus

2 parts = 2 × 22 = 44 Kg ← quantity of cement needed

3 parts = 3 × 22 = 66 Kg ← quantity of sand needed

5 parts = 5 × 22 = 110 Kg ← quantity of gravel needed

He has the required amounts of cement and sand but not of gravel.

Thus he cannot mix the concrete

Answer 2
Final answer:

Terry requires 44 kg of cement, 66 kg of sand, and 110 kg of gravel for the concrete mix. He has enough cement and sand but is short of gravel by 10 kg, so he cannot make the complete mix with the materials he currently has.

Explanation:

First, we calculate the total parts of the mix by adding the ratio numbers: 2 (cement) + 3 (sand) + 5 (gravel) = 10 parts in total. Next, we find out how much each part weighs: 220 kg ÷ 10 parts = 22 kg per part. Then we multiply the number of parts for each material by the weight per part: Cement needed = 2 parts × 22 kg/part = 44 kg, Sand needed = 3 parts × 22 kg/part = 66 kg, Gravel needed = 5 parts × 22 kg/part = 110 kg. Now, let's compare these requirements with what Terry has:

Cement: needs 44 kg, has 50 kg — enoughSand: needs 66 kg, has 90 kg — enoughGravel: needs 110 kg, has 100 kg — not enough

In conclusion, Terry does have enough cement and sand, but he does not have enough gravel for the mix.

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Related Questions


Estimate the size of a crowd at an airshow that occupies a rectangular space with dimensions of 500 feet by 750 feet (to the nearest whole number).

Assume that each person occupies 9 square feet.
A) 10,417 people
B) 20,833 people
C) 41,667 people
D) 83,333 people

Answers

Answer:

C. 41667 people

Step-by-step explanation:

750 * 500 =  375000 / 9 = 41666.666 = 41667

the answer is c.) 41,667 people

7. What is the area of this figure?

Answers

Answer:

20 m.

Step-by-step explanation:

Formula for rhombus: base x height.

Base: 8

Height: 2.5

2.5 x 8 = 20.

Tip: Usually when finding the area of a rhombus there is another length (in this scenario, 4) to try to fool or trick you. It's the length of the slanted side to the right. A rhombus is a square or rectangle when you take the triangle and piece it into the slanted area, so even though it looks like a complicated parallelogram it really isn't.

Hope this helped ^^

A garden table and a bench cost $988 combined. The garden table costs $88 more than the bench. What is the cost of the bench?

Answers

Answer:

the total cost for the bench and the table minus the cost of the garden table which is $988 - 88 =900

Started at 0 degrees and rose 2 degrees each minute

Answers

if you want to put it into slope intercept form, it would be y=2x
The slope intercept form is y=2x

Expand.
If necessary, combine like terms.
(3+4.)(3 - 4x) =

Answers

Answer:

-16x^2 +9

Step-by-step explanation:

To start this problem I would rearrange so that the terms with the x's come first. Making it look like this

(4x+3)(-4x+3)

Now you take the 4x and distribute it to the -4x and the 3.  

-16x^2+12x  This is the first part

Take the 3 and distribute it to the -4x and the 3 as well.

-12x+9

All you do now is combine the twoso you'd have

-16x^2 +12x -12x +9  Notice there are two terms that have a regular x with no exponent. This means you can combine them to simplify further.

-12x+12x=0  So you no longer have to include this term in your answer.

-16x^2+9 Would then be your final answer.

I need 5 mins!!! pls help!!
60 ÷ 10 × 3 to make it equivalent to 2??

Where should we put the Parentheses?

Answers

Answer:

60÷(10x3)

Step-by-step explanation:

After you do the parenthesis it would be 60÷30=2

Answer:

The answer is you put the parentheses in between 10*3

Step-by-step explanation:

It has been announced that 64% of all teenagers say they have a television in their bedroom. These findings came from a simple random sample of 1,000 teens. The standard error estimated from this sample was 1.5%

1. Which of the following is the best estimate of the 85% confidence interval for the proportion of teenagers who say that they have a TV set in their bedroom ?
A. 59.5% to 68.5%. C. 62.5% to 65.5%
B. 61% to 67% D. 64% to 100%

Answers

Answer:

D

Step-by-step explanation:

A circular flower bed is 22 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.
The area of the sidewalk is "blank" m to the power of 2
Plz answer will give brainiest

Answers

Answer:

Area of blank is 326.56m²

Step-by-step explanation:

For a better and pictorial understanding of this problem please see attached for your reference.

Given data

Let the flower bed be the small circle with diameter d= 22m

Radius of small circle = 22/2=11m

Let the side walk be the big circle with diameter D= 4+4+22=30m

Radius of big circle =30/2 = 15m

We know that the area of circle

A1=πr²

Hence area of flower bed

A1=3.14*11²

A1= 379.94m²

Also area of side Walk

A2= πr²

A2= 3.14*15²

A2= 706.5m²

Area of blank

A3= area of side walk - area of flower bed

A3= A2-A1

A3= 706.5-379.94

A3= 326.56m²

Answer:151

Step-by-step explanation:

Please help.....………………

Answers

Answer:

50

Step-by-step explanation:

The sum of the angles of a triangle is 180

A +B +C = 180

90 +4x+ 7x-20 =180

Combine like terms

70+ 11x = 180

Subtract 70 from each side

70-70+11x = 180-70

11x=110

Divide each side by 11

11x/11= 110/11

x = 10

We want to find angle C

C = 7x-20

   = 7*10-20

   = 70-20

   = 50

Answer:

50°

Step-by-step explanation:

7x - 20 + 4x + 90 = 180

11x = 180 - 70

11x = 110

x = 10

ACB: 7(10) - 20 = 50

A farmer sells 9.6 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market (i need it expressed in fraction and decimal form please!! im almost out of time to answer :<) please answer asap!!

Answers

Answer:

Decimal form = 2.4 / Fraction form = 1/4

Step-by-step explanation:

We know that the farmer sold 9.6 kilograms of apples and pears where 3/4 of that weight was apples. That means that 1/4 of the 9.6 kilograms were pears. Lets divide 9.6 by 1/4 to get our answer.

9.6 / 1/4 = 2.4

Decimal form = 2.4

Fraction form = 1/4

esther picks 100 balls at random the table shows some of the results if she picks 250 balls at random how many red balls should she expect

Answers

Answer:

Step-by-step explanation:

What is the solution to the equation 2 (x-3) ^2 =13 help help ASAP !

Answers

Answer:

3+sqrt(13/2)

3-sqrt(13/2)

Step-by-step explanation:

2 (x-3) ^2 =13

Divide each side by 2

2/2 (x-3) ^2 =13/2

(x-3) ^2 =13/2

Take the square root of each side

sqrt((x-3) ^2) =±sqrt(13/2)

x-3 = ±sqrt(13/2)

Add 3 to each side

x-3+3 = 3±sqrt(13/2)

x = 3±sqrt(13/2)

Step-by-step explanation:

x=√3+3,−√1          

                                                        I tried...

Help please !! It’s geometry

Answers

Answer:

36

Step-by-step explanation:

Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!

Tim mowed lawns for 2 hours and earned $4.50 per hour. Then he washed windows for 4 hours and earned $3.45 per hour. What was Tim's average earnings per hour for all 6 hours.

Answers

Answer:

$3.23 per hour

Step-by-step explanation:

4.5+4.5+3.45+3.45+3.45+3.45=19.35

19.35/6=$3.225 or $3.23 per hour

Abraham just accepted a new job at consulting firm that pays $47,500 during the first year, with an annual increase of 7% per year beginning in the second year. What can Abraham expect to earn in his fifth anniversary with the consulting firm? Round your answer to the nearest dollar

Answers

Answer:

64,125 I think

Step-by-step explanation:

7%x 5 years =35%

35% of 47, 500 is 16625

16625 + 47,500=64,125

Answer:

about $66,621

Step-by-step explanation:

Since its an increase in salary, we want 0.07+1 = 1.07 (if he was losing his salary, it instead would be 0.07-1, but that's not the case here)

Then we plug it in as 47,500(1.07)^x

he's expecting what would he get in his fifth year at the firm. So let's set x = 5.

47,500(1.07)^5 = $66,621.20721 or ≈ $66,621 to the nearest dollar.

Note: This is how I'm doing it in High School. So if this is incorrect, I'm sorry.

The Smiths spend 6% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $2,580 on entertainment. What was their total budget last year?

Answers

Answer: Their total budget last year was $40,000.

Step-by-step explanation:

Given : The Smiths spend 6% of their budget on entertainment.

i.e. , The money they spend on entertainment = 0.06 x ( Total budget)

{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)

Since , this year they plan to spend $2,580 on entertainment.

i.e. 0.06 x ( Total budget )  = $2,580

On dividing both sides by 0.06 , we get

( Total budget )  = $2,580 ÷ 0.06

=  $43,000

Thus , their total budget for this year = $43,000

Also, Their total budget this year is $3,000 more than last year.

Therefore , their last year total budget = ( Total budget this year ) - $3000

= $43,000 - $3000

= $40,000

Hence, their total budget last year was $40,000.

please help me
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.14 for PI

Radius 2
Height 5

Answers

Answer:

The answer is 62.83

Step-by-step explanation: Just do 3.14 times 2 squared or 4 they are the same thing in this context then multiply 5 because that's your height.

What is 1/3 divided by 9

Answers

1/3 divided by 9 = 1/27


Tyrone's age is 2 years less than 4 times his younger sister's age. If his younger sister's age is b years, which of the following expressions best shows Tyrone's age?
4b b − 2 2b − 4 4b − 2

Answers

Answer:

Four times his sister's age would be 4b.   his age is two years less, so we need to subtract 2.

put together, this is 4b - 2.

Answer:

Your answer will be  4b - 2

Step-by-step explanation:

Hope this helps!!

What is the equivalent measure of 78 centiliters in milliliters?

Answers

170 milliliters is the answer

Answer:

780 milliliters

Step-by-step explanation:

Recall,

1 centiliter = 10 milliliters

So, 78 centiliters = 78 * 10 milliliters

= 780 milliliters

Brian tied a 136-foot rope around the perimeter of his rectangular house. He knows that the length of the house is 10 feet less than twice the width. Find the dimensions of Brian’s house.

Answers

Answer:

length 42 cm and width 26 cm

Step-by-step explanation:

Given

Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.

Given that shape of house is rectangular.

formula to calculate perimeter of rectangle can be used which is 2*(L+B)

where L is length of rectangle and B width of rectangle

Let the L and B be length of rectangular side of house

According to question

length of house is 10 feet less than twice the width of house

mathematically it can be represented as

L = 2*B - 10  --->eq. 1

Perimeter of house = 136 feet

using formula of Perimeter of rectangle

136 = 2*(L+B)

substituting the value of length in terms of width from eq. 1 in formula of perimeter

=> 136/2 = 2*B - 10 + B  (2*B+ B = 3B)

=> 68 = 3*B - 10

=> 78 = 3*B

B = 78/3 = 26

Therefore B which is width = 26 CM

length = 2*B - 10= 26*2 - 10 = 52-10=42

length of house = 42  cm

Hence dimension of Brian's house is length 42 cm and width 26 cm

what does 3 +3 equal?

Answers

Answer:

6

Step-by-step explanation:

3 + 3 = 6

Which equation represents the line
5x - y = 3 in slope-intercept form?

Answers

Answer:

y=5x-3

Step-by-step explanation:

Write three equations whose solution is x=3.5

Answers

Final answer:

To write three equations whose solution is x=3.5, you can use different algebraic expressions. Three examples are x + 2 = 5.5, (2x - 5) / 3 = 1.8333, and x^2 - 12x + 42 = 0.

Explanation:

To write three equations whose solution is x=3.5, we can use different algebraic expressions to represent the same value. Here are three examples:

x + 2 = 5.5 - In this equation, if we substitute x with 3.5, we get 3.5 + 2 = 5.5, which is true.(2x - 5) / 3 = 1.8333 - If we plug in x=3.5, we get (2(3.5) - 5) / 3 = 1.8333, which is true.x^2 - 12x + 42 = 0 - If we solve this quadratic equation, we find x=3.5 as one of the solutions.

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99 POINTS!!! PLEASE HELP ME! I'M FAILING MATH AAAAAAA!!

Answers

Answer:

False

Step-by-step explanation:

Thats the only one i know to amswer sorry but it is false

I couldn’t tell whether or not you wanted it to be solved so I just did it based on the number line.

You might need:
Calculator
The following dot plot summarizes the distance Roger ran in each of his tennis matches last month. Each dot
represents one game.
Number of kilometers
BI83
Based on this data, what is a reasonable estimate of the probability that Roger runs less than 5 km in his next
tennis match?
Choose the best answer.
Choose 1 answer:
©
22%

Answers

Answer: 33%

Step-by-step explanation:

What x value solves the equation?

3x – 5 = 1

Answers

Answer:

x=2

Step-by-step explanation:

Add 5 to each side.

3x-5+5=1+5

3x=6

Divide each side by 3.

Your answer would be x=2.

Answer:

X=2

Step-by-step explanation:

Newton’s Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since cooling began, in minutes. This relationship is given by y=ae where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constant related to the cooling object. -The initial temperature of a liquid is When it is removed from the heat, the temperature in the room is . For this object, Use Newton’s Law of Cooling to find the temperature of the liquid after 15 minutes.

Answers

Answer:

79 °F

Step-by-step explanation:

Newton’s Law of Cooling:

[tex]y = ae^{-kt} + c[/tex]

Data

The initial temperature of a liquid is 160 °F The temperature in the room (c) is 76 °FThen a = 160 - 76 = 84 °Fk = 0.23t = 15 minutes

Replacing into the equation:

[tex]y = 84e^{-0.23 \times 15} + 76[/tex]

y = 79 °F

Answer:

The correct answer is 78.7°F

Step-by-step explanation:

Got it right on Edge 2020

A bag contains 12 marbles: 5 red, 3 blue and 4 green. If two marbles are pulled from the bag consecutively and no replacement occurs, what is the probability of pulling a blue marble followed by another blue marble?

Answers

Answer:

3/12

Step-by-step explanation:

sorry if this is wrong I'm not an expert at math

10. Mark built a fence around his clubhouse. The perimeter of the fence is 80 feet. The
width of the fence is 15 feet. What is the length of the fence?
Explain your answer.
P = 70 feet
15 feet
? feet
----------------------------------------------------

Answers

Answer:

if the clubhouse is 4 sided then the length would be 25 ft

Step-by-step explanation:

15x2=30

80-30=50

50/2=25

Im just tryna get points dont mind me
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