A shipment of sugar fills 6 containers. If each container holds 3 3/4 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.

Answers

Answer 1

Answer:

7 6/7 tons.

Step-by-step explanation:

2 1/5 containers = 11/5 containers, written as an improper fraction. Each container holds 3 4/7 tons of sugar; this capacity is 25/7, written as an improper fraction.

The product of these two numbers is 55/7 tons, or 7 6/7 tons.


Related Questions

Find the product of (4z2 + 7z – 8) and (–z + 3).

The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 +
z2 +
z – 24.

Answers

Answer:

-4z^3 + 5z^2 + 29z -24

Step-by-step explanation:

(4z^2 + 7z-8) (-z+3)

would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24

and simplified to -4z^3 + 5z^2 + 29z -24

Answer:

5

29

Step-by-step explanation:

4th grade math question:

jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.

Answers

Answer:

1 gallon

Step-by-step explanation:

gallons of paint needed; 4

gallons used: (3/4)*4

= 1 gallon was used

Answer:

Answer is 3 gallons

Step-by-step explanation:

1 gallon= 25%

2 gallons=50%

3 gallons=75%

3/4 is equivalent to 75%

Hope this helped!

Find f(-2) for f(x) = 3x2^x

Answers

2^-2
Is 1/2^2=1/4
3 x 1/4 is 3/4
The answer is 3/4 I think

The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The value of function is,

⇒ f (x) = 3 × 2ˣ

Now,

At x = - 2;

The value of function f (- 2) would be,

⇒ f (x) = 3 × 2ˣ

⇒ f (- 2) = 3 × 2⁻²

⇒ f (- 2) = 3 × 1 / 4

⇒ f (- 2) = 3 / 4

Thus, The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

Three lines intersect at point P, as shown in the diagram below. Find the measure of

Answers

Answer:

VPQ = 83°

Step-by-step explanation:

You can draw a circle around the point P, and a circle have 360°, so it means that the sum off all the angles have ro be 360°. Some of these angles have the same measure, because they're formed by the same lines segments, they are:

SPR = UPV; TPU = RPQ; TPS = VPQ

360 - SPR - UPV - RPQ - TPU = VPQ + TPS

As some of they are equal, we can just multiply they by 2:

360 - 2×SPR - 2×RPQ = 2× VPQ

360 - 2×35 - 2×62 = 2×VPQ

360 - 70 - 124 = 2×VPQ

2 VPQ = 166

VPQ = 166/2

VPQ = 83°

The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure? (1 point)

1) 5.6.6 square inches
2) 6.5.5 square inches
3) 6.5.5.5 square inches
4) 5.6.6.6 square inches

Answers

Answer:  6*5*5   (choice B)

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

Explanation:

Each square has a side length of 5 inches, so each square has area 5*5 = 25 square inches. We have 6 such squares to give a total surface area of 6*25 = 150 square inches.

Effectively, this is the same as using the formula below

S = 6x^2

S = 6*5^2

S = 6*5*5

S = 150

x = 5 refers to the side length and S is the surface area. It might help to cut the figure from the paper, and fold it up and you should find that a 3D box will form. There are 6 faces with area of 5*5 each, hence the 6*5*5

What is an equation that represents the line that passes through the points (1, 1) and (-2, 7)?

Answers

Answer:
Not sure if this is correct but I hope this helps :)

Evaluate the function.
f(x) = 2x2
Find f(-3)

Can anybody answer this?

Answers

Answer:

18

Step-by-step explanation:

f(x) = 2x^2

Let x = -3

f(-3) = 2 * (-3)^2

Exponents first

f(-3)=2 *9

f(3) = 18

Answer:

f ( - 3 ) = 18

Step-by-step explanation:

f ( x ) = 2x²

Find f ( - 3)

let , x = - 3

lf ( - 3 ) = 2 ( -3 )²

f ( - 3 ) = 2 × ( - 3 )²

Evaluate the power

f ( -3) = 2 × 9

multiply the numbers

f ( - 3 ) = 18

100 POINTS HELP ME NOW!

Answers

Answer:

[tex]160[/tex]

Step-by-step explanation:

A rectangular prism's surface area is [tex]2(wl+hl+hw)[/tex].

2·(10·5+2·5+2·10)=160.

Answer:

a or c

Step-by-step explanation:

surry if im wrong

Let ​f(x)=x2+10x+37​ .

What is the vertex form off(x)?

What is the minimum value off(x)?



Enter your answers in the boxes.

Vertex form: f(x)=

Minimum value of f(x):

Answers

Answer:

f(x) = (x+5)^2 +12

The minimum value is 12

Step-by-step explanation:

f(x)=x^2+10x+37

The vertex will be the minimum value since this is an upwards opening parabola

Completing the square by taking the coefficient of x and squaring it adding it and subtracting it

f(x) = x^2+10x  + (10/2) ^2 - (10/2) ^2+37

f(x) = ( x^2 +10x +25) -25+37

    = ( x+5) ^2+12

Th is in vertex form y = ( x-h)^2 +k  where (h,k) is the vertex

The vertex is (-5,12)

The minimum is the y value or 12

A teacher wishes to choose a group of students to help with a presentation. If he needs 2 boys and 3
girls to help with the project and has 14 boys and 12 girls in his classroom, in how many ways can he
make the selection?

Answers

20020 ways

Choosing 2 boys can be done in 14 x 13 = 182 ways.
But this puts them in order ( first and second) which is not required so the unordered number ways is 182 / 2 = 91
Choosing 3 girls can be done in 12 x 11 x 10 = 1320 ways but 3 girls can appear in 3! ways = 6.
The number of unordered selections of 3 girls = 1320 / 6 = 220
The total number of selections is 91 x 220 = 20020.

If you thought the answer was 240240 it is because you used permutations rather than combinations.

If you are still confused, remember choosing Alan and Bruce is the same as choosing Bruce and Alan.
For the girls you could choose CDE, CED, DCE, DEC, ECD OR EDC and still get exactly the same 3 girls.


Can someone answer this please

Answers

Answer:

good luck man

Step-by-step explanation:

you will get answers after some time

Reeba is baking cookies for the bake sale. She bakes 3 ¾ dozen chocolate chip cookies to sell . If Reeba sells ⅔ of the cookies, how many cookies did she sell?

Answers

Answer:

30 cookies

Step-by-step explanation:

Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.

Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex]  an improper fraction first.

[tex]3\frac{3}{4} =\frac{15}{4}[/tex]

Ok! Let's multiply.

[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]

Ok, Reeba baked 45 cookies in total. We know that she sells  [tex]\frac{2}{3}[/tex]  of her baked cookies, so we can again multiply the two numbers.

[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]

Therefore, Reeba sold 30 cookies.

I hope this helps! Let me know if you have any questions :)

Get brainiest if right!!!

10points if right!!

Answers

Answer:

the next three terms, 0.075,0.0375,0.01875 (common ratio 0.5)

the formula is 0.3*0.5^n-1

the formula for finding the nth term of a geometric sequence preset would be

a*r^n-1

a is first term

r is common ratio

Step-by-step explanation:

a piece of ribbon is 5.4 meters long. What will be the length of 8 similar pieces?​

Answers

Answer:

43.2 meters

Step-by-step explanation:

Multiply the length of one piece of ribbon by 8 to determine the total length

5.4 * 8 =43.2 meters

5.4x8=43.2
answer: 43.2 meters

Which of the following expressions are equivalent to 52n+n4n2 + 4n
5
2
n
+
n
4
n
2

+

4
n
?

Answers

Answer:

they just go straight what does it mean?

The functions f(x) and g(x) are defined below. (in the image attached)




Which expression is equal to f(x) + g(x)?

Answers

[tex] \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]

This is the right answer.

Refer to the attachment for the complete work.

Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?

Answers

Answer:

The answer is A, 86 sections.

Step-by-step explanation:

Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.

130 + 300 = 430

Step two : find how many 5 foot sections he has now, divide 430 by 5.

430/5 = 86

Mr. Jackson can divide the new fence into 86 5-foot sections.

The answer is A, 86 sections.

really need help quick GR5 question

Answers

Answer:

Amount won : $3,000,000

Step-by-step explanation:

Let the amount won be =100 x

Amount spent on house :

                                     [tex]\frac{4}{5} \ of \ 100 x = 80 x[/tex]

Remaining amount = 100x - 80x = 20x

Amount spent on yacht :

                                    [tex]\frac{3}{4} \ of \ 20x = 15x[/tex]

Remaining amount = 20x - 15x = 5x

Amount spent on a trip :

                                   [tex]\frac{2}{3} \ of \ 5x = \frac{10}{3}x[/tex]

Remaining amount =

                         [tex]5x - \frac{10}{3}x = \frac{15x -10x}{3} = \frac{5x}{3}[/tex]

This amount is given for charity :

                                                     [tex]\frac{5}{3}x[/tex]

But given :

           Amount given to charity is  50000

Therefore ,

                 [tex]\frac{5}{3}x = 50000[/tex]

                [tex]5x = 3 \times 50000\\\\5x = 150000\\\\x = 30000[/tex]

Therefore , the amount won on lottery is = 100x = 100 ( 30000) = 3,000,000

The amount of money he won

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

The answer is "The second choice".

Step-by-step explanation:

[tex]r=6\\\\h=13 \\\\[/tex]

Formula:

[tex]A=2\pi rh[/tex]

[tex]=2\times 3.14 \times 6 \times 13\\\\=2\times 3.14 \times 78\\\\=3.14 \times 156\\\\=3.14 \times 156\\\\=489.84 \approx 489.8 ft^2[/tex]

Charlie (c) has 75 more pencils than Kate (k). Together, they have 135 pencils. How many pencils does Kate have? * ​

Answers

Answer:

60

Step-by-step explanation:

135-75 = 60

HOPE IT HELPS

Solve x2 – 8x + 15 < 0.

Select the critical points for the inequality shown.

Answers

Answer:

x> 17/8

Step-by-step explanation:

add the numbers

17-8x<0

move the constant to the right-hand side and change its sign

-8x<-17

Divide both side of the inequality by -8 and flip the inequality sign

x>17/8

City A had a population of 10000 in the year 1990. City A’s population grows at a constant rate of 3% per year. City B has a population that is growing exponentially. In the year 2000, there were half as many people in B as in A. In the year 2010, the population of A was 20% more than the population of B.
When will the populations be equal? Give your answer in years after 1990.

Answers

Answer:

City A and city B will have equal population 25years after 1990

Step-by-step explanation:

Given

Let

[tex]t \to[/tex] years after 1990

[tex]A_t \to[/tex] population function of city A

[tex]B_t \to[/tex] population function of city B

City A

[tex]A_0 = 10000[/tex] ---- initial population (1990)

[tex]r_A =3\%[/tex] --- rate

City B

[tex]B_{10} = \frac{1}{2} * A_{10}[/tex] ----- t = 10 in 2000

[tex]A_{20} = B_{20} * (1 + 20\%)[/tex] ---- t = 20 in 2010

Required

When they will have the same population

Both functions follow exponential function.

So, we have:

[tex]A_t = A_0 * (1 + r_A)^t[/tex]

[tex]B_t = B_0 * (1 + r_B)^t[/tex]

Calculate the population of city A in 2000 (t = 10)

[tex]A_t = A_0 * (1 + r_A)^t[/tex]

[tex]A_{10} = 10000 * (1 + 3\%)^{10}[/tex]

[tex]A_{10} = 10000 * (1 + 0.03)^{10}[/tex]

[tex]A_{10} = 10000 * (1.03)^{10}[/tex]

[tex]A_{10} = 13439.16[/tex]

Calculate the population of city A in 2010 (t = 20)

[tex]A_t = A_0 * (1 + r_A)^t[/tex]

[tex]A_{20} = 10000 * (1 + 3\%)^{20}[/tex]

[tex]A_{20} = 10000 * (1 + 0.03)^{20}[/tex]

[tex]A_{20} = 10000 * (1.03)^{20}[/tex]

[tex]A_{20} = 18061.11[/tex]

From the question, we have:

[tex]B_{10} = \frac{1}{2} * A_{10}[/tex]  and  [tex]A_{20} = B_{20} * (1 + 20\%)[/tex]

[tex]B_{10} = \frac{1}{2} * A_{10}[/tex]

[tex]B_{10} = \frac{1}{2} * 13439.16[/tex]

[tex]B_{10} = 6719.58[/tex]

[tex]A_{20} = B_{20} * (1 + 20\%)[/tex]

[tex]18061.11 = B_{20} * (1 + 20\%)[/tex]

[tex]18061.11 = B_{20} * (1 + 0.20)[/tex]

[tex]18061.11 = B_{20} * (1.20)[/tex]

Solve for B20

[tex]B_{20} = \frac{18061.11}{1.20}[/tex]

[tex]B_{20} = 15050.93[/tex]

[tex]B_{10} = 6719.58[/tex] and [tex]B_{20} = 15050.93[/tex] can be used to determine the function of city B

[tex]B_t = B_0 * (1 + r_B)^t[/tex]

For: [tex]B_{10} = 6719.58[/tex]

We have:

[tex]B_{10} = B_0 * (1 + r_B)^{10}[/tex]

[tex]B_0 * (1 + r_B)^{10} = 6719.58[/tex]

For: [tex]B_{20} = 15050.93[/tex]

We have:

[tex]B_{20} = B_0 * (1 + r_B)^{20}[/tex]

[tex]B_0 * (1 + r_B)^{20} = 15050.93[/tex]

Divide [tex]B_0 * (1 + r_B)^{20} = 15050.93[/tex] by [tex]B_0 * (1 + r_B)^{10} = 6719.58[/tex]

[tex]\frac{B_0 * (1 + r_B)^{20}}{B_0 * (1 + r_B)^{10}} = \frac{15050.93}{6719.58}[/tex]

[tex]\frac{(1 + r_B)^{20}}{(1 + r_B)^{10}} = 2.2399[/tex]

Apply law of indices

[tex](1 + r_B)^{20-10} = 2.2399[/tex]

[tex](1 + r_B)^{10} = 2.2399[/tex] --- (1)

Take 10th root of both sides

[tex]1 + r_B = \sqrt[10]{2.2399}[/tex]

[tex]1 + r_B = 1.08[/tex]

Subtract 1 from both sides

[tex]r_B = 0.08[/tex]

To calculate [tex]B_0[/tex], we have:

[tex]B_0 * (1 + r_B)^{10} = 6719.58[/tex]

Recall that: [tex](1 + r_B)^{10} = 2.2399[/tex]

So:

[tex]B_0 * 2.2399 = 6719.58[/tex]

[tex]B_0 = \frac{6719.58}{2.2399}[/tex]

[tex]B_0 = 3000[/tex]

Hence:

[tex]B_t = B_0 * (1 + r_B)^t[/tex]

[tex]B_t = 3000 * (1 + 0.08)^t[/tex]

[tex]B_t = 3000 * (1.08)^t[/tex]

The question requires that we solve for t when:

[tex]A_t = B_t[/tex]

Where:

[tex]A_t = A_0 * (1 + r_A)^t[/tex]

[tex]A_t = 10000 * (1 + 3\%)^t[/tex]

[tex]A_t = 10000 * (1 + 0.03)^t[/tex]

[tex]A_t = 10000 * (1.03)^t[/tex]

and

[tex]B_t = 3000 * (1.08)^t[/tex]

[tex]A_t = B_t[/tex] becomes

[tex]10000 * (1.03)^t = 3000 * (1.08)^t[/tex]

Divide both sides by 10000

[tex](1.03)^t = 0.3 * (1.08)^t[/tex]

Divide both sides by [tex](1.08)^t[/tex]

[tex](\frac{1.03}{1.08})^t = 0.3[/tex]

[tex](0.9537)^t = 0.3[/tex]

Take natural logarithm of both sides

[tex]\ln(0.9537)^t = \ln(0.3)[/tex]

Rewrite as:

[tex]t\cdot\ln(0.9537) = \ln(0.3)[/tex]

Solve for t

[tex]t = \frac{\ln(0.3)}{ln(0.9537)}[/tex]

[tex]t = 25.397[/tex]

Approximate

[tex]t = 25[/tex]

2. How many miles the trucks will have to drive for the costs of the trucks to be equal?

Answers

Step-by-step explanation:

kayo na po bahala mag calculate

f(x)=[tex]\frac{3}{x+2}[/tex]-[tex]\sqrt{x-3}[/tex]

Answers

f(x) = 3/x+2 - √x - 3

We can put any value of x so, let x be 3

f(3) = 3/3 + 2 - √3 - 3

f(3) = 3/3 + 2 - √0

f(3) = 3/5 - 0

f(3) = 3/5

You can let x be any value of your choice.

PLEASE HELP!! Please answer all if you can and show answer clearly thankyou sm if u do

Answers

Answer:

Below:

Step-by-step explanation:

A) 0.15 (0.35 + 0.40 + 0.10 + 0.15 = 1)

B) 0.45

C) 0.40

A) the total probability has to equal 1.

To find the probability of rat subtract the other animals from1:

Rat = 1 - 0.35-0.4-0.1 = 0.15

Rat = 0.15

B) probability of cat or hamster equals the sum of their probabilities:

Cat = 0.35 + hamster = 0.1 = 0.45

Answer = 0.45

C) the probability of them both picking the same = dog x dog = 0.4 x 0.4 = 0.16

Answer = 0.16

Which number line represents the solution set for the inequality -4(x + 3) S-2 – 2x?
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7
+
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2:-1 0 1
2.
+
6
+
7
3 4
01
5
02

Answers

Answer:

the answer is the alphabet A at the picture

The circle must be on -5 and arrow drawn to the right. Hence the correct answer is number line A

Inequality expression

Given the inequality expression

-4(x+3) <= -2-2x

Expand the inequality

-4x - 12 <= -2-2x

Collect the like terms

-4x + 2x <= -2+12

-2x <= 10

Divide both sides by -2

-2x/-2 >= 10/-2

x >= -5

For the number line, the circle must be on -5 and arrow drawn to the right. Hence the correct answer is number line A.

Learn more on inequality expression: https://brainly.com/question/24372553

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 10 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.


The area of the bookmark is cm2.

Plzz help me

Answers

Answer:

Area of the bookmark = 52.56 cm²

Step-by-step explanation:

The two semicircles attached at both end of the rectangle will give us a full circle.

Therefore,

Area of the bookmark = area of rectangle + Area of a circle

Area of the bookmark = L × W + πr²

Length (L) = 10 cm

Width (W) = 4 cm

radius (r) = ½(4) = 2 cm

π = 3.14

Plug in the values into the equation

Area of bookmark = 10 × 4 + 3.14 × 2²

= 40 + 12.56

= 52.56 cm²

If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).

Answers

Answer:

2x^2 +11

Step-by-step explanation:

(x) = 3 x^2 + 2

g(x) = x^2 - 9

(f - g)(x) =3 x^2 + 2 - (x^2 - 9)

Distribute the minus sign

             = 3x^2 +2 - x^2 +9

Combine like terms

             = 2x^2 +11

PLEASSSSSSSSSSSEEEEEEEE HELPPP IM BEGGING SOMEONE PLEASEEEEEEEE PLEASEEEEEEEEEEE HELPPPP​

Answers

Answer:

20 degree

Step-by-step explanation:

x + x + 70 = 110 degree (sum of two opposite interior angle equal to the exterior angle formed)

2x = 110 - 70

x = 40/2

x = 20 degree

The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student who attended. The total cost for the dinner was $944.
How many students attended the dinner?
a) Write an equation you could use to solve the problem.
b) Solve the equation.
Verify the solution.



CAN SOMEONE GIVE ME THE ANSWERS AND EXPLANATION FOR THIS QUESTION IN SIMPLE FORM PLEASEEEEEEEEE I CANT FAIL

Answers

Answer:

65

Step-by-step explanation:

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