A total of 11 trucks was used to carry 126 tonnes of iron. Some of the trucks carry
16 tonnes each, and the rest carry 6 tonnes each. Form an equation and solve it to
find the number of 16 tonne trucks.

Answers

Answer 1

Step-by-step explanation:

x = number of trucks with 16 tonnes capacity

y = number of trucks with 6 tonnes capacity

x + y = 11

16x + 6y = 126

the first equation gives us

x = -y + 11

and we use that in equation 2 :

16(-y + 11) + 6y = 126

-16y + 176 + 6y = 126

-10y = -50

10y = 50

y = 5

x = -y + 11 = -5 + 11 = 6

the number of 16 tonne trucks was 6.


Related Questions

what is _ percent of 100 is 14

Answers

Answer:

It should be 14 percent.

Step-by-step explanation:

14 percent is just 14/100, which if you multiply by 100 gives you 14.

14%

Step-by-step explanation:

Whenever you have anything over 100 (e.g 40/100) that number is always gonna be 40. Like multiplying by 1. 9*1 is 1. Assume the 9 is 90 and assume the 1 is 100. It's always gonna be the numerator instead of the denominator.

Mark me brainliest if you can

Help! this is due in 2 hoursssss

Answers

Answer:The smallest angle is 2x+10  solve the eqation x=4

Step-by-step explanation:its the right answer i did this before and got it correct

Answer:

the equation you wrote is correct

x=30

the smallest angle is: x-10 or 20

3x=30

2x+10=70

Step-by-step explanation:

Cell phone production engineers have noticed that among a group of 138 customers aged 14-23 who send more text messages tend to use a higher percentage of their phone’s memory.What are the explanatory variable and response variable for this relationship?

Explanatory variable: age of customer
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: age of customer
Explanatory variable: number of text messages sent
Response variable: percentage of phone memory used
Explanatory variable: percentage of phone memory used
Response variable: number

Answers

Answer:

it is c my guy

Step-by-step explanation:

on edge2020

The explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used. The correct answer is (C)

What is the independent and dependent variable?

In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.

In this situation, the explanatory variable is the number of text messages sent, because it is believed to influence or "explain" the variation in the response variable, which is the percentage of phone memory used.

The explanatory variable is also sometimes called the independent variable, because it is the variable that is being manipulated or controlled in an experiment. The response variable is also sometimes called the dependent variable, because it is the variable that is believed to depend on the explanatory variable.

Therefore, in this problem, the explanatory variable is the number of text messages sent, and the response variable is the percentage of phone memory used.

Learn more about the independent and dependent variables here:

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NEED HELP ASAP ALGEBRA 2

Answers

Answer:

3.5hours

Step-by-step explanation:

7 hours is the max but divided by 2 people it is 3½ hours

help ASAP please hmmmm​

Answers

Answer:

I’d go with number 2 and number 4.

what is the answer, i need help

Answers

Answer: C 1/2mL LMN= mL LMO

Step-by-step explanation: because 2/76 is 38 C is the right answer

I WILL MARK BRAINLIEST IF SOMEONE ACTUALLY KNOWS THIS ITS NOT 72

Answers

Answer:

D   Trust Me

Step-by-step explanation:

Answer:

I is D

Step-by-step explanation:

I just counted by to on all of the squares and got 52

please help with hegarty algebraic fractions and quadratic equations

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf \dfrac{3}{x} - \dfrac{3}{x + 4} = 1[/tex]

[tex] \sf \dfrac{3(x + 4) -3x }{x(x + 4)} = 1[/tex]

[tex] \sf \dfrac{3x + 12-3x }{x(x + 4)} = 1[/tex]

[tex] \sf 12 = {x(x + 4)} [/tex]

[tex] \sf {x}^{2} + 4x = 12[/tex]

[tex] \sf{ {x}^{2} + 4x - 12 = 0 }[/tex]

[tex] \sf{ {x}^{2} + 6x - 2x - 12 = 0}[/tex]

[tex] \sf{x(x + 6) - 2(x + 6) = 0}[/tex]

[tex] \sf(x - 2)(x + 6) = 0[/tex]

Hence,

[tex] \sf x = 2 \: \: or \: \: x = - 6[/tex]

Why are all of the equivalent ratios for 1 to 105

Answers

Answer: it’s infinite

Step-by-step explanation:

Joan purchased a refrigerator for $1,200. She made a down payment of $65 and paid
$121 a month for 11 months. Find the total installment price of the refrigerator.

Answers

Pretty sure you set up a proportion somehow, keep months and $ separate… for example, $ over months, then $ over x… not for sure…

The total installment price is $1331.

What is an installment?

Installment means adding the total principal of the loan and the total interest on the principal together and then dividing the sum by the number of installment payments.

For the given situation,

The purchase price of the refrigerator = $1200

Down payment = $65

Monthly installment = $121

Installment period = 11 months

Total installment price = [tex](121)(11)[/tex]

⇒ [tex]\$1331[/tex]

Hence we can conclude that the total installment price is $1331.

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omg guys pls help me, its due at 5pm

Answers

Answer:

1) 3:4

Step-by-step explanation:

Answer:

1. 3 ratio 5

2. 4 ratio 4

3. 2 ratio 5

4. 2 ratio 4

LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay

Answers

To find this answer we have to do these steps below

1. Find the amount of money that LaShawn earns in an Hour

We have to do 60/8 which is 7.5

LaShawn earns 7.5 dollars in an hour

2. Multiply 7.5 by 35

The answer to that is 262.5 dollars

Therefore the answer is 262.5 dollars

I hope this helped, if it's wrong, blame me

Ps. Brailents would help a LOT

The sum of half of a number and 49is 2 whole 1/4 of the number. find the number

Answers

Answer:

-93.5

Step-by-step explanation:

let the number be y

1/2 × y + 49 =2 1/4

y/2 +49 =9/4

y/2 =9/4-49

y/2 = 9-196/4

y/2 = -187/4

cross multiply

4y = -374

y = -93.5

Answer:

28

Step-by-step explanation:

Let the number is x

Half of a number = (1/2) x2 whole 1/4 of the number = (2 1/4) x = (9/4) x

The sum:

(1/2) x + 49 = (9/4) x(9/4)x - (1/2)x = 49(9/4 - 1/2)x = 49(7/4)x = 49x = 49 : 7/4x = 49 * 4/7x = 7 * 4x = 28

6. Does the set of ordered
pairs represent a function?
Explain.
{(0,5), (-2, -1), (0, -5), (3, 20)}

Answers

Answer: this is not a function because the X values are repeating for example we see that 0 is set in the X value side it can’t have 5 and -5 as it’s y at the same time therefor it’s not a function

The area of the triangle below is 8.91 square inches.
What is the length of the base?

Answers

Answer:

8.1

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

area/1/2xheight

The base is the length.

8.91/1/2x2.2

=8.1 inches

Dante’s chocolate bar is 36% cocoa. If the weight of the chocolate bar is 73 grams, how many grams of cocoa does it contain round your answer to the nearest tenth?

Answers

Answer:

26.3 grams

Step-by-step explanation:

36% = 36/100 = 0.36

73 * 0.36 = 26.28 grams ≈ 26.3 grams

Answer:

i think 26.3 grams

Step-by-step explanation:

0.36×73 = 26.28

When rounded to the nearest tenth, 26.28 should be equal to 26.3

So Dante's the chocolate bar contains 26.3 grams of cocoa.

Х
Note: Enter your answer and show all the steps that you use to solve this problem
in the space provided.
389
21
21
Drawing not to scale
What is the value of x?
Math symbols
Relations

Answers

Answer:

71°

Step-by-step explanation:

well you can tell based off the 2 sides that are 21 units each that this triangle is isosceles, that means the 2 base angles are the same.

so 2x°+38°=180°

so 2x°=142°

so x=71°

At a basketball game, for every basket team A scored, team B scored 4 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is A. 1 to 3
B. 2 to 3
C. 1 to 4
D. 4 to 1

Answers

Answer:

C. 1 to 4

Step-by-step explanation:

The ratio is used to describe situations like "for how many x's, there are many y's". In this case, we are trying to find the ratio for A baskets scored to B baskets scored, team A scores one basket, then team B will score 4 baskets. Then we can write the ratio of A to B as 1:4, which is 1 to 4.

Hope I did this correctly since it was long ago that I lastly worked with ratios

A pizza restaurant had 1/3 of a gallon of pizza sauce left at the end of the evening and divided it equally among 3 pizzas. How much sauce did they put on each pizza? D) Write your answer as a fraction or as a whole or mixed number. gallons Submit Work it out​

Answers

Answer:

1/9 of a gallon of sauce

Step-by-step explanation:

You would have to divide the fraction (1/3) by the number of pizzas (3)

but…

you can’t DIVIDE fractions, so you have to use the “keep-change-flip“ method

1/3 ÷ 3

keep 1/3

change ÷ into ×

and flip 3 into 1/3 (because technically 3 is 3/1)

1/3×1/3= 1/9

hope this helped!


3. You miss a free throw 3/10 of the time
A) likely
B) unlikely
C) certain
D) equally likely

Answers

Out of every 10 free throws, you miss only 3.

Converting to a percentage: 3/10 = .3 x 100 = 30%.

Therefore, 3/10=30%. So, you only miss 30% of the time, which means that you make the free throws 7/10 of the time or 70%.

The answer would be that you are likely to make the free throws, so answer A.) is correct.

You miss a free throw 3/10 of the time is unlikely event. Therefore, option B is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, miss a free throw 3/10 of the time.

Here, 3/10 =0.3

The total probability is always equal to unity.

If the event is “certain” to happen, the probability will be 1.

If the event is “likely” to happen, the probability will be between 1/2 and 1.

If the event has an “equal chance” to happen or not, the probability will be 1/2.

If the event is “unlikely” to happen, the probability will be between 0 and 1/2.

You miss a free throw 3/10 of the time is unlikely event.

Therefore, option B is the correct answer.

To learn more about the probability visit:

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Write the word sentence as an equation. Then solve the equation.
The quotient of a number and -1.5 is 21.
a
Equation:
Solution: x=

Answers

Answer:

Step-by-step explanation:

"The quotient of a number and -1.5 is 21."

Let X be the "number."

X/-1.5 = 21

X = -1.5*(21)

X = - 31.5

Find the mean, median and more for the following data sets. (15, 13, 19, 17, 25, 13, 23, 18, 19, 17, 21)

Answers

Step-by-step explanation:

hope it will help you ....

Please help me with this it’s is urgent

Answers

Answer:

the nominator could be any number here

Step-by-step explanation:

what do you need ? the equation itself is true, if you put the same number in both places above 21.

any number is possible there, it will not change the equation.

so, again, I am not sure, what you need here.

let's write it with a variable to make my statements clearer :

9 + 1 x/21 = 10 x/21

that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.

and then we add the fraction again (x/21).

again, you can put any number instead of x, and it will always be true.

example

9 + 1 4/21 = 10 4/21

Help Plz
Rewrite in simplest terms: 4(3d+7f)-5f-3(9f+3d)4(3d+7f)−5f−3(9f+3d)

Answers

Answer:

its easy

Look at the pictures.

Please mark brainlest

If you cant see the result is 24f+24d

For a given series, s1=1, s2=8, s3=21 what is the 3rd term in the sequence?

Answers

Answer:

S=13, read pictures below

Step-by-step explanation:

Item 2
A baker displays 72 muffins on 8 identical trays.

How many trays does the baker need to display 54 muffins?

Enter your answer in the box.

Answers

Answer:

The baker needs six trays to display 54 muffins

Step-by-step explanation:

72/8 = 9

9 x ? =

56

9 x 6 = 56

Answer:

6

Step-by-step explanation:

Muffins displayed in 8 identical trays = 72

Muffins displayed in 1 identical tray = 72/8 = 9

Tray required to display 54 muffins = 54/9 = 6

Giving brainliesttttttt

Answers

Answer:

I think it is the line D as a thought

lemma wants to build a road named stargazer boulevard that will be parallel to moonbeam drive, on this road she will build a diner located 7 blocks north of the community garden where is the diner located

Answers

Answer:

(20,

Step-by-step explanation:

How do I find the equation of the line?

Answers

Answer:

1.Identify the slope.

2.Identify the point.

4.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

5.Write the equation in slope-intercept form.

Step-by-step explanation:

Answer:

y=-\frac{2}{3}x+3

Step-by-step explanation:

[tex]y=mx+b[/tex]

There are 4 variables in this equation, and 3 of them are already given. We already have the slope and the (x, y) of a known point. Plug those 3 into the equation and solve for b:

[tex]7=-\frac{2}{3}(-6)+b\\7=4+b\\b=3[/tex]

Now, with the slope and the y-intercept, you can write the equation of the line:

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

Ali sorced 66 and 72 marks respectively.For his two tests what is the lowest mark he must have sorced for his third test.If an average sorce of a least 75 is requied to qualify for a bouns prize

Answers

Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225/3 = 87

Answer:

  87

Step-by-step explanation:

For problems involving averages, it often works well to consider the differences from the average. Here, Ali desires an average of 75. The total of differences from average will be zero. The differences for the known scores are ...

  66 -75 = -9

  72 -75 = -3

The total of these is -12, so the third score must have a difference of +12 for the average to be 75

  x -75 = 12

  x = 87

For the average to be at least 75, the third score must be at least 87.

_____

You can also work this in a more conventional way. The average of the three scores must be at least 75.

  (66 +72 +x)/3 ≥ 75

  138 +x ≥ 225 . . . . . . multiply by 3, simplify

  x ≥ 87 . . . . . . . . . . subtract 138

The lowest mark Ali must receive is 87.

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