Topic - Solving Linear Inequalities.

Q - A vehicle with an empty fuel tank has a mass of 1050kg. One litre of petrol has a mass of 737g. What is the minimum amount of whole litres of petrol that would cause the total mass to exceed 1100kg?

Please help me. ​

Answers

Answer 1

Answer:

The minimum balance is 68 liters

Step-by-step explanation:

Let the number of liters of petrol required be x

Given that  One litre of petrol has a mass of 737g, x liters will have a mass

= 0.737x kg

Recall that 1 kg = 1000g

Since the empty fuel tank has a mass of 1050kg

The total mass = 1050 + 0.737x IN kg

For the total mass to exceed 1100kg, then

1050 + 0.737x > 1100

0.737x > 1100 - 1050

0.737x > 50

Divide both sides by 0.737

x > 50/0.737

x > 67.84260516


Related Questions

the triangles are similar, what is the value of x?

Two triangles that intersect at a single vertex. The smaller triangle has an upper angle measuring 126 degrees and the angle where the vertices intersect measuring 16 degrees. The larger triangle has an upper angle measuring 126 degrees. The exterior angle made where the triangles intersect above the point of intersection measures 3 x degrees.
x = 16
x = 38
x = 42
x = 54

Answers

Answer:

I think it would be 42. If its wrong I'm sorry

17 points Please help me with the answer and understanding

•Please actually help me out I want to better understand this

•trolls will be reported

Answers

Because the graph is starting high and going down, your answer is c- exponential decay

Answer:

This is exponential decay.

Step-by-step explanation:

Lets break down the answers:

A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.

B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.

C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.

D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.

which ordered pair is a solution to the system of inequalities graphed?​

Answers

Answer:

(2,2)

Step-by-step explanation:

fits the requirements

Prove that 7 root 3 is an irrational number.​

Answers

Step-by-step explanation:

because it has decimal values, the number is irrational

Evaluate the exponential expression.
3•42

Answers

Answer:

48

Step-by-step explanation:

Trust me

find the value of x
7
17
x*

Answers

Answer:

the awnser is 24

Please please help me with this

Answers

I think it is K, M, and L

Step-by-step explanation:

i think is k , m , l

bcause 4 is the smallest number,

and 12 is the biggest number.

Another fairly simple one, pretty much a free Brainliest and 30 points.

Answers

Answer:

Solution given:

[tex]8\frac{7}{12}-3\frac{1}{3}=\frac{8*12+7}{12}-\frac{3*3+1}{3}[/tex]

=[tex]\frac{103}{12}-\frac{10}{3}[/tex]

taking lcm

=[tex] \frac{103-10*4}{12}=\frac{63}{12}=\frac{21}{4}=5\frac{1}{4}[/tex]

Answer:

5 1/4

Step-by-step explanation:

8 7/12 - 3 1/3

We need to get a common denominator of 12

8 7/12 - 3 1/3 *4/4

8 7/12 - 3 4/12

5 3/12

Simplifying the fraction

5 1/4

Someone plz help me!

Answers

Answer:

56.25 cm

Step-by-step explanation:

your teacher wrote the approach already : the law of sines.

in our example we have

sin(28)/27 = sin(102)/c

c×sin(28)/27 = sin(102)

c×sin(28) = 27×sin(102)

c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm

Darla is painting a mural. She needs to paint a rectangular stripe that measures 1 half yard by 6 yards. Which is the area of the stripe?

Answers

Answer:

3 yards^2

Step-by-step explanation: Area of a rectangle=Length*Width. 6 yards*0.5 yards=3 yards^2

Ли делать операцию на сердце тяжело быть звездой матча в чемпионате страны и в этом году я в шоке с тебя в голове не укладывается в голове и в этом случае можно и нужно ли это было так хорошо начиналось все это не ! :)

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

28[tex]\pi[/tex] in

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex] in which [tex]r[/tex] represents radius.

[tex]2\pi[/tex]×14 = 28[tex]\pi[/tex] in

Answer:

[tex]circumference \: of \: the \: circle = 2\pi \times radis[/tex]

[tex] = 2 \times \frac{22}{7} \times 14[/tex]

[tex] = \frac{11}{1} \times 2[/tex]

[tex] = 11 \times 2[/tex]

[tex]22cm[/tex]

3. For the following system of equations, complete a table of at least 5 points for each equation, then graph the system on the coordinate plane. Describe the solution.

y = -3x + 4

6x + 2y - 8 = 0

Answers

Answer:

I'll do it for the equation, then you can try to solve the second one. Of your not able to, just comment and I'll answer the second one

Step-by-step explanation:

y = -3x+4

When

___x__l  _y____

   0          l    4

   1           l     1

   2          l     -2

   3          l     -5

   4          l     -8

The lengths of two pieces of fabric are in the ratio 7:5. If the first length is 210 meters, what is the second length? *​

Answers

Answer:

150 meters

Step-by-step explanation:

[tex]\frac{7}{5} =\frac{210}{x\\}[/tex]

cross multiply:

7x = 1050

solve for x by dividing both sides by 7:

x = 150

the second length is 150 meters

Answer:

150 meters

Step-by-step explanation:

To get from 7 to 210 it was multiplied by 30 (we know this because 210 divided by 7 is 30) so that means to get from 5 to the missing length of the second rope, you multiply by 30. 5 times 30 is 150, so the second rope is 150 meters long.

:) ur welcome

When completely factored, 2x3 - 200x
equals-

Answers

Answer:

Step-by-step explanation:

The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:

[tex]2x(x^2-100)[/tex]

BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to

(x - 10)(x + 10). So the complete factorization is

2x(x - 10)(x + 10)

Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3_4 the original price. The girls agree to each pay 1_3 of the cost.

Answers

Answer:

1/4 of the cost

Step-by-step explanation:

Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?

Discounted price = 3/4 the original price

Each girl agreed = 1/3 of the cost

Amount each girl paid = 3/4 * 1/3

= (3 * 1) / (4 * 3)

= 3 / 12

= 1/4 of the cost

Amount each girl paid = 1/4 of the cost

the image of O(3,2)in half turn about origin gives....?​

Answers

Answer:

O' (- 3, - 2 )

Step-by-step explanation:

Under a half turn about the origin

a point (x, y ) → (- x, - y ) , then

O (3, 2 ) → O' (- 3, - 2 )

What time will it be in 3/4 hour? Answer for me please x

Answers

Answer:

9:25

hope this helps

have a good day ;)

Step-by-step explanation:

3/4 of an hour=45 minutes so add 8:40 + 45 min

Answer:

9 : 25

Step-by-step explanation:

It shows 8 : 40

After 3/4 hour or 45 minutes.

8 : 40 + 20 minutes + 25 minutes

9 : 00 + 25 minutes = 9 : 25

Sam, a researcher, and his team conduct a study to examine the effect of WakeMe, an energy drink, on intelligence levels of people in a small town. The people from this town are randomly divided into two equal, representative groups. Members of one group, Group MW, are made to drink WakeMe and then take an intelligence test. Members of the other group, Group NoMW, are made to drink plain water packaged in WakeMe bottles and then take an intelligence test. In this scenario, ______ is the control group and the ______ is the experimental group.

Answers

Answer:

Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.

Step-by-step explanation:

The control group is the one which is not subjected to any testing situation or condition.

While the experimental group is the one which is subjected to testing condition.

Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.

Does anybody know it

Answers

4 x 15 is correct buddy hope this helps fam good master brother love ya

Brainliest goes to whoever answers correctly also if you want more points then answer my others

Answers

Answer:

It is a value that is an abnormal distance from the other values in a data set.

Step-by-step explanation:

An outlier is something that stands out from another thing. Such as color in a black and white film.

ayuda porfavor es urgente​

Answers

B for one and D for 2
Uno - B Dos - D

Find the median of 2,4,4,8

Answers

The median would be 4

Answer:

4

Step-by-step explanation:

First, the numbers should be in ascending or descending order . Since, 4 numbers are in ascending order we don't have to do that .

Second, find the "middlest" of them . If there were total of odd numbers it would have been easier but, here is total of even number(4) and mean of 2 middlest number would be its median: (4+4)/2=4 .

Help with this question, not sure what the answer is

Answers

The answer is B, you know the zeros or solutions are positive 3 and 7 means no that they will be negative in the equation. And the parabola isn’t stretched or compressed so it doesn’t have a leading coefficient. Hope that helps!

Answer:

3rd option

Step-by-step explanation:

The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7

The corresponding factors are then (x - 3) and (x - 7)

The equation is then

f(x) = a(x - 3)(x - 7) ← a is a multiplier

To find a substitute any point on the graph into the equation.

Using (8, 15 ) , then

15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )

3 = a

Thus

f(x) = 3(x - 3)(x - 7)

Suppose that there are 20 numbers in a data set and that they are all different. a. How many of the values in this data set are between the first quartile and the third quartile?

Answers

Step-by-step explanation:

6duryrvrurbryebeirvbrudgdhd7rhdudhsydydhd

Date:
ASSIGNMENT: Wages and Salaries
1. Martha works as a window dresser in her hometown
of Victoria, BC. To finish a window at a local clothing
store, she charged $16.72 per hour. If it takes her
five hours to finish the window, how much will her
gross pay be for the job?

Answers

$83.60 in gross wages

One number is 16 more than the other and their average is 60. The numbers are *

Answers

Answer:

68

Step-by-step explanation:

Let The first number = X

& the Second one = X + 16

Sum of these two numbers = 120

X + X + 16 = 120

2X = 120 - 16

2X = 104

X = 52

So , the first number = 52

& Second one = 52 + 16 = 68

Answer:

The numbers are 52 and 68.

Step-by-step explanation:

Let x be the first number and y be the second. The question tells us that:

1) x = y + 16

2) (x + y) / 2 = 60

2 equations, 2 unknowns. Solve the system. Plug equation 1 into equation 2:

(y + 16 + y) / 2 = 60

2y + 16 = 120

y + 8 = 60

y = 52

Now plug the value of y back into either original equation. I'll use the first:

x = 52 + 16

x = 68

The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the number of milligrams of the substance and t represents the time. In years. In the function p(t), explain what 0.25 and 500 represent.​

Answers

Given:

The function is:

[tex]p(t)=500(0.25)^t[/tex]

Where p(t) represents the number of milligrams of the substance and t represents the time.

To find:

The correct explanation for the number 0.25 and 500 in the given function.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]           ...(i)

Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.

We have,

[tex]p(t)=500(0.25)^t[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.

[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.

Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.

Work out the answers to:
a) 5 divided 0.1
b) 8 divided 0.02
c) 2.4 divided 0.3
d) 32 divided 0.16

Answers

Answer:

a) 50

b) 400

c) 8

d) 200

Step-by-step explanation:

a) 5 divided 0.1

  [tex]\frac{5}{0.1} = \frac{5 \times 10}{0.1 \times 10} = \frac{50}{1} = 50[/tex]

b) 8 divided 0.02

   [tex]\frac{8}{0.02} = \frac{8 \times 100}{0.02 \times 100} = \frac{800}{2} = 400[/tex]

c) 2.4 divided 0.3

  [tex]\frac{2.4}{0.3} = \frac{2.4 \times 10}{0.3 \times 10} = \frac{24}{3} = 8[/tex]

d) 32 divided 0.16

   [tex]\frac{32}{0.16} = \frac{32 \times 100}{0.16 \times 100} = \frac{32 \times 100}{16} = 200[/tex]

Evaluate the expression for the given value. 3x(x−2), when x=7 please help just give me the straight answer im failing and my mom will kick me ouit she aubuses me hellllp

Answers

x = 7
3•7(7 - 2)
= 3 • 7 • 5
= 21 • 5
= 105

Hope this helps

[tex]\longrightarrow{\blue{105}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]3x \: (x - 2)[/tex]

Plugging in the value [tex]x\:=\:7[/tex] in the above expression, we have

➺ [tex] \: 3 \times 7 \: (7 - 2)[/tex]

➺ [tex] \: 3\times 7 \: (5)[/tex]

➺ [tex] \: 3 \times 35[/tex]

➺ [tex] \: 105[/tex]

Note:-

[tex]\sf\purple{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Select all expressions that at equivalent to the expression 3x + 5. A. 9x − (−5 + 6x) B. 9x − (5 − 6x) C. 9x − (6x + 5) D. 9x − (6x − 5) E. 9x − (−6x + 5)

Answers

Answer:

A. 9x − (−5 + 6x)

D. 9x − (6x − 5)

Step-by-step explanation:

Select all expressions that at equivalent to the expression 3x + 5.

To get our answer, we have to solve each option

A. 9x − (−5 + 6x)

= 9x + 5 - 6x

= 9x - 6x + 5

= 3x + 5

Option A is correct

B. 9x − (5 − 6x)

= 9x - 5 + 6x

= 9x + 6x - 5

= 15x - 5

Option B is wrong

C. 9x − (6x + 5)

9x - 6x - 5

= 3x - 5

Option C is wrong

D. 9x − (6x − 5)

= 9x - 6x + 5

= 3x + 5

Option D is correct

E. 9x − (−6x + 5)

= 9x + 6x - 5

= 15x - 5

Therefore, Option A and D are the correct options with the right expressions

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