Aldo drives a truck for a soft drink company. His truck is filled with 15 ounce cans and 70 ounce bottles. Let c be the number of 15 ounce cans the truck is carrying, and let b be the number of 70 ounce bottles suppose the truck can carry 7000 pounds (112,000 ounces) using the values and variables given write an inequality

Answers

Answer 1

Answer:

15c+70b[tex]\leq[/tex]112000

Step-by-step explanation:

Truck could carry 7000 pounds.

There are 15 ounce cans and 70 ounce bottles.

There are 'c' number of 15 ounce cans and 'b' is the number of 70 ounce bottles.

So, C number of cans can  carry 15C ounces

'b' number of bottles can carry 70b ounces

So, we can set up inequality as

15c+70b[tex]\leq[/tex]112000


Related Questions

A line with a slope of 3 passes through the point (2, 6). What is its equation
in slope-intercept form?
please help i need my ixl done and i don’t understand this lesson

Answers

Answer:

I found: y=−3x+12

Explanation:

You can use the relationship:

y−y0=m(x−x0)

Where m is the slope and x0,y0 the coordinates of your point.

So with your data:

y−6=−3(x−2)

y=−3x+6+6

y=−3x+12

or:

3x+y=12

There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts​

Answers

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

Kelly is creating lemonade by mixing 3 parts lemon juice with 2 parts sugar. If she uses 3
cups of sugar, how many cups of lemon juice does she use?

Answers

Answer:

lemon juice : parts sugar

3 :2

? :3

3/2 × 3 = 4,5 cups of lemon

Answer:

4.5

Step-by-step explanation:

the ratio of lemon juice to parts sugar is 3:2.  to convert into cups, it turns into ?:3. to turn 2 into 3, you multiply by 1.5, so you have to do the same to 3, to get 4.5, 3:2 is equal to 4.5:3 so kelly would have to use 4.5 cups of lemon juice.

A curve is given by the parametric equations x = cos 2t * a * n * d * y = sin t , then the cartesian equation of the curve is given by: a x = y ^ 2 + 1; y ^ 2 = (1 - x)/2; x ^ 2 + y ^ 2 = 1; x ^ 2 = (1 - y)/2; y ^ 2 = x + 1 d e

Answers

Answer:

Y² = (1-X) / 2

Step-by-step explanation:

According To The Question, We Have

X= Cos2t  &   Y= Sint

the cartesian equation of the curve is given by Y² = (1-X) / 2 .

Proof, Put The Value of X & Y in Cartesian Equation, We get

Sin²t = {1-(1-2×Sin²t)} / 2         [∴ Cos2t = 1 - 2×Sin²t]

Taking R.H.S

(1-1+2×Sin²t)/22Sin²t/2   ⇔   Sin²t = L.H.S (Hence Proved)

Lemont answered 6 out of 40 questions on a
test incorrectly. What percentage of the
questions did he answer correctly?

Answers

Answer:

85%

Step-by-step explanation:

(40 - 6)/40 * 100%

34/40 * 100%

85%

PLSS HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

R (3,-2) S(5,2) T(6,0)

Step-by-step explanation:

Translate this phrase into an algebraic expression.
8 more than twice Matt's savings
Use the variable m to represent Matt's savings.

Answers

Answer:

2m + 8

Step-by-step explanation:

It's rather simple to break it down, take "8 more" as (+ 8) and twice Matt's savings into (2 * m) which then becomes simply (2m). Because of pemdas, your final answer should be 2m first then + 8, so 2m+8

Please help!find x and y

Answers

x=6

y=9

Hope it helps you...

X is 6 and y is 9.
This is the answer.

The wheels on jason's dirt bike messure 19 inches in diameter. How many revolutions will the wheels make when jason rides for 500 ft? Use 3.14 for pi. Round to the nearest whole number.

Answers

Answer:     101 revolutions

========================================================

Explanation:

C = circumference

C = pi*d

C = 3.14*19

C = 59.66

The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.

Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x

59.66x = 6000

x = 6000/59.66

x = 100.569896077774

x = 101

After 101 revolutions, Jason has traveled about 500 ft.

Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.

And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.

Radius 8.5

Circumference 2 pi r^2
=2(3.14)(8.5)^2
=6.28*72.25
= 453.73 in

12in=1ft
(453.73)/12
= 37.81083333333333
≈38

500/38
= 13.15789473684211
≈14

Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that? Solve this problem in the math section

Answers

Answer:

24000 cm³ or 24 L

Step-by-step explanation:

The measure of a tank is 30 cm by 20 cm by 40 cm.

We need to find the volume of water in the tank when it is full.

Volum = 30 cm × 20 cm × 40 cm

= 24000 cm³

1 cm³ = 1 ml

24000 cm³ = 24000 mL

Also, 1 cm³ = 0.001 ml

24000 cm³ = 24 L

Hence, this is the required solution.

2.
Find the value of x. If necessary, round to the nearest tenth.


A. 13.7 in.

B. 11.7 in.

C. 9.7 in.

D. 6.9 in.

Answers

Answer:

A

Step-by-step explanation:

13.7

Answer is
The answer is A:13.7

someone help me out please:(

Answers

Answer:

[tex]m(x) = - 3x - 3[/tex]

Step-by-step explanation:

[tex]m(x) = f(x) - g(x)[/tex]

[tex]m(x) = (2x+1)−(5x+4)[/tex]

[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−4[/tex]

[tex]m(x) = −3x+1−4[/tex]

[tex]m(x) = −3x−3[/tex]

Hope it is helpful...

what are the x intercepts if y is 16x takeaway 8x squared?​

Answers

Answer:

The x-intercepts are (0, 0) and (2, 0)

Step-by-step explanation:

The function is y = 16x - 8x^2.

To find the x-intercepts, we set this function equal to zero (0) and solve the resulting equation for x:

16x - 8x^2 = 8x(2 - x) = 0.

Then 8x = 0 yields x = 0 and 2 - x = 0 yields x = 2

The x-intercepts are (0, 0) and (2, 0)

Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.

Answers

£35 X 12(months) = £420 per year he saves.
$420

12 months in a year
$35 dollars a month
35 times 12 = 420

Hope this helps ;)

Complete the input-output table for the function y=3^x
X Y
-2 1/9
-1 1/3
0 1
1 3
2 9
3 a
4 b
A=?
B=?

Answers

9514 1404 393

Answer:

  A = 27

  B = 81

Step-by-step explanation:

Fill in the x-value and do the arithmetic.

  a = 3^3 = 27

  b = 3^4 = 81

When Alissa was 5 years old, she started collecting pennies. She collects an average of 24 pennies per week . How many pennies can she collect in 27 week?

Answers

Answer:

Step-by-step explanation:

648 I think

Watch rep
Given the definitions of f(x) and g(x) below, find the value of (fºg)(-8).
f(x) = x² – 3x – 12
g(x) = -x - 12
Submit Answer
Answer:
attempt 1 out of
O

Answers

Answer:

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

Step-by-step explanation:

The composition consist: in replacing the independent variable ([tex]x[/tex]) of [tex]f(x)[/tex] by [tex]g(x)[/tex]:

[tex]f(x) = x^{2}-3\cdot x -12[/tex] (1)

[tex]g(x) = -x-12[/tex] (2)

[tex]f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12[/tex] (3)

[tex]f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12[/tex]

[tex]f\,\circ\,g(x) = x^{2} +27\cdot x +168[/tex]

[tex]f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168[/tex]

[tex]f\,\circ\,g(-8) = 16[/tex]

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

Help me ASAP please

Answers

Answer:

D. F(x) = (x - 1)^4

Step-by-step explanation:

To shift a graph h units horizontally, replace x by x - h.

The shift is 1 unit to the right, so the shift is positive 1.

h = 1

x - h = x - 1

Replace x with x - 1.

G(x) = x^2 becomes F(x) = (x - 1)^4

2. Illustrate using a Venn diagram the union and intersection of the following event. Given event A are
numbers which are multiples of 3 between 1 and 40 and event B are even numbers from 10 to 30.​

Answers

Answer:

A intersection B = {12,18,24,30}

Step-by-step explanation:

A ={3,6,9,12,15,18,21,24,27,30,33,36,39}

B ={10,12,14,16,18,20,22,24,26,28,30}

A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins. Find the experimental probability of landing on each color. Enter your answers as simplified fractions.

Red: 13
Yellow: 19
Blue: 9

The probability of landing on red is...

The probability of landing on yellow is...

The probability of landing on blue is...

Answers

Answer:

Red: 13/41

Yellow: 19/41

Blue: 9/41

Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars

Answers

Answer:

Aseem’s : 8.3, Stana’s : 11.6

Step-by-step explanation:

Aseem: x

Stana: 2x-5

X+2x-5=20

3x=25

X = 8.3

Plz help ill give u brainlyest.

Also anser a and b

Answers

Answer:

A) 4/7 feet

B) 4/7 x 15 = 60/7 or [tex]8\frac{4}{7}[/tex]

what is the height of this triangle?

Answers

Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

Simplify the expressions.showing express your answers with positive exponents

Answers

(2x^2)^3

Step 1: Rewrite (to help understand the problem)

(2x^2) * (2x^2) * (2x^2)

Step 2: Distribute (going back to the original problem)

(2^3) * (x^2)^3

Step 3: Simplify

8 * x^6 || Remember that we multiply exponents in this case!

Answer: 8x^6

Hope this helps!! :)

Those who are math geniuses, please help, this is timed T-T
I will mark brainliest for the best answer!

Answers

Answer:

Top box: Endpoint

Bottom box: Ray

Step-by-step explanation:

Assuming that the top box is supposed to be for the point shared by both rays, then it is a endpoint of the rays, as the lines do not continue past the point on the opposite side.

The bottom box will then be a ray, as no point is shown, and a arrow is used at the "end" of the line to signify that it will continue on forever.

~

what is the answer to
3 + 2x = -6x + 4

Answers

Answer:

if you are looking to solve for x the answer is

[tex] \frac{1}{8}[/tex]

Step-by-step explanation:

first you need to gather all the variables (x) to one side of the equation so take right hand side:

2x + 6x = 4 - 3

remember to watch out for the sign changes. then:

[tex]8x = 1[/tex]

therefore

[tex]x = \frac{1}{8}[/tex]

Bank A charges a monthly service fee of $2.00 and a per-check fee of $0.05, while Bank B charges a monthly service fee of $1.50 and a per-check fee of $0.10. Which of these numbers of monthly checks will cause Bank A to charge less in fees than bank B?

A. 10

B. 11

C. 8

D. 9

Answers

Answer:

The 11th check

Step-by-step explanation:

Someone Please Help Me!!. If the radius is 14 cm and the area of sector of the circle are 18.48 cm2, calculate the angle at the centre of the circle.​

Answers

Answer:  approximately 11 degrees

======================================================

Explanation:

If the radius is r = 14, then the area of the full circle is

A = pi*r^2

A = 3.14*14^2

A = 615.44

The area of the full circle is roughly 615.44 cm^2

However, the pizza slice area is only 18.48 cm^2

Divide the two values: (18.48)/(615.44) = 0.030027

The pizza slice is roughly 3% of the full circle.

Multiply that decimal result with 360 to get the final answer

0.030027*360 = 10.80972

That rounds to approximately 11 degrees

-------------

Here's another example:

Let's say the full circle area was 100 cm^2 and the pizza slice was 25 cm^2. We can see that 25/100 = 0.25 = 25% of the full area is the pizza slice

25% of 360 = 0.25*360 = 90 degrees would be the central angle, which is basically what we expect when we cut the circle into 4 equal slices.

Q. Mohammed calculated the volume of the prism as 240 cm3. Is he correct? *
a- yes
b- no

Answers

Answer:

I gues s it s yes. if correct brainlest answer pla..

Answer:

No

Step-by-step explanation:

The formula for a triangular prism is

[tex] \frac{1}{2} a \times h[/tex]

where a is the area of the triangle.

The area of a triangle is

[tex] \frac{4 \times 5}{2} = 10[/tex]

so the volume is

[tex]10 \times 12 = 120[/tex]

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