The total combined volume of a glass, a jar, and a pitcher is 54 liters. If the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses, what is the volume of the glass?

Answers

Answer 1

Answer:

6 liters.

Step-by-step explanation:

So we have a glass, a jar, and a pitcher and together, they hold 54 liters.

We are told that the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses. In other words, let g denote glasses, j denote jars, and p denote pitchers:

[tex]g+j+p=54[/tex]

Since  jar is the same as 3 glasses, this means that j=3g. And since the pitcher is the same as 5 glasses, this means that p=5g. Substitute:

[tex]g+(3g)+(5g)=54[/tex]

Combine like terms:

[tex]9g=54[/tex]

Divide both sides by 9. The left cancels:

[tex](9g)/9=54/9\\g=6[/tex]

Therefore, the volume of the glass is 6 liters.

Answer 2

Answer:

[tex]\Large \boxed{\sf 6 \ liters}[/tex]

Step-by-step explanation:

Let the volume of the glass be x.

Let the volume of the jar be y.

Let the volume of the pitcher be z.

[tex]\sf y = 3x \\\\z = 5x[/tex]

[tex]\sf x + y + z = 54[/tex]

Substitution method.

[tex]\sf x+3x+5x=54[/tex]

Combining like terms.

[tex]\sf 9x = 54[/tex]

Dividing both sides by 9.

[tex]\sf x = 6[/tex]

The volume of the glass is 6 liters.


Related Questions

Which of the following expressions best describes what is modeled on the number line?
(-1)(-4)
4(-1)
1(-4)
4(1)

Answers

Answer:

4(-1)

Step-by-step explanation:

Answer:

4(-1)

Step-by-step explanation:

?/24 A refrigerator is priced at $525.50. There is a 7% sales tax rate. What is the sales tax for the refrigerator in dollars and cents? Round to the nearest penny

Answers

Answer: The sales tax is $36.79  

Step-by-step explanation:

Multiply the sales tax percent by the money to find how much the sale tax is.

7% * 525.50 = 36.785  which rounds to 36.79  to the nearest penny.

The required amount of sales tax for the refrigerator is $36.785.


As mentioned in the question, a refrigerator is priced at $525.50. There is a 7% sales tax rate. The sales tax for the refrigerator in dollars and cents is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The total price of the sales tax = $525.50
Sales tax is 7%,

sales tax= 525.50 × 7%
sales tax = $36.785

Thus, the required amount of sales tax for the refrigerator is $36.785.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5




Una paid $2.14 for a notebook. She gave the cashier a $5 bill.
How much change did she receive?

Answers

Answer:

$2.86 thats how much sh gets back

Answer:2.86

Step-by-step explanation: 5 - 2.14 = 2.86

A ball will be drawn from a bag containing 20 balls numbered 1 through 20 . ​If each ball is equally likely to be drawn, what is the probability that the ​number on the ball drawn will be even or less than 5 ? ​​

Answers

Answer:

7/10

Step-by-step explanation:

20 balls.

10 even, 10 odd.

4 numbers less than 5.

That is 14/20 --> 7/10

Most likely.

Probability that the ​number on the ball drawn will be even or less than 5

= 3/5

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given,

Total no. of balls = 20

All balls are numbered with numbered 1 through 20.

Balls with even numbers or less than five:

1, 2, 3, 4, 6, 8, 10, 12, 14, 16, 18, 20

No. of balls with even numbers and less than five = 12

Probability that the ​number on the ball drawn will be even or less than 5 = No. of balls with even numbers or less than five/Total balls

                  = 12/20

Probability = 3/5

Hence, 3/5 is the probability that the ​number on the ball drawn will be even or less than 5.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ5

The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 720720 feet of fencing available, what is the maximum possible area of the pasture

Answers

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

The equation Y = mx+b is the slope-intercept form of the equation of a line. What is the equation solved for b?​

Answers

To isolate b on one side of the equation, all you have to do is subtract mx from both sides, so the answer is
y-mx =b

Factor the polynomial. 4x^2+4xy+y^2

Answers

(2x−y)
2
Will be your answer

Answer:

(2x)^2 + 2(2x)(y) + (y)^2

(2x+y)^2

Step-by-step explanation:

Write down 2 equivalent ratios to 3:5.

Answers

6:10, 9:15, And if those don’t work then use 12:20 and 15:25

How many solutions does the system have?
y= -3x + 9
3y = -9x + 9
Choose 1 answer
A. Exactly one solution
B. No solutions
C. Infinitely many solutions

Answers

Answer:

B. No solutions

Step-by-step explanation:

y= -3x + 9

3y = -9x + 9

Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.

y = -3x + 9

y = -3x + 3

Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.

Answer: No solutions

Answer:

B

Step-by-step explanation:

Khan

How many solutions are there to the equation below?
x² = 9
A. O
B. 4
C. 9
D. 1
E. 2

Answers

Answer: E. 2

Step-by-step explanation:

x²=9

x=±3 ⇔ since it is square (any value after square will always be positive), the value can be negative or positive.

There are 2 solutions: 3 and -3

Hope this helps!! :)

Let f(x) = x^2 + 4 and g(x) = 7x + 13. Find g(f(3)).

Answers

Answer:

104

Step-by-step explanation:

f(x) = x^2 + 4

g(x) = 7x + 13.

Find g(f(3))

Find f(3) = 3^2+4 = 9+4 = 13

Then find g(13) = 7*13 + 13 = 91+13 = 104

Answer:

91x+169

g(f(3))

(7x+13)(3^2+4)

(7x+13)(9+4)

(7x+13)(13)

therefore..91x+169

solve the equation 7+4y=39

Answers

Answer:

y = 8

Step-by-step explanation:

[tex]7+4y=39\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\7+4y-7=39-7\\\\\mathrm{Simplify}\\4y=32\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4y}{4}=\frac{32}{4}\\\\Simplify\\y =8[/tex]

Answer:

y = 8

Step-by-step explanation:

7 + 4y = 39

Rearrange:

4y + 7 = 39

Subtract 7 from both sides:

4y + 7 = 39

     - 7     -7

4y = 32

Divide both sides by 4:

4/4 = y

32/4 = 8

y = 8

20pt. please help i need it for today :(
_____
the cost of cheese pizza is $9.99 Plus $0.35 for each additional topping t.
_____
A. Write an inequality that can be used to represent the cost of a pizza that is at most $12 .
B. what is the most number of toppings that a pizza can have and still be at most $12.​

Answers

Answer:

The inequality is this 9.99+.35x>12

It cant be over 12 so it has to be less than or equal to 12. The most amount of toppings you can have is 5.

:)

Answer:

9.99 + 0.35x > 12

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME FIND THE AREA OF A HEXAGON

Answers

Answer:

the answer is 57.12

Step-by-step explanation:

so the area of the rectangle is 74.24, thats where you get the 8 x 9.28, which is important. so next we're going to go is 9.28-5 which equals 4.28, and that is what the total bottom of 2 triangles would be, (if you drew a rectangle around it). the you would divide 4.28 by 2 to get 2.14, which is the value of 1. next you do 2.14 x 4 and get 8.56. then divide 8.56 by 2 and get back to 4.28. you take 4.28 and multiply it by 4 to get 17.12. from there on you do, 74.24 - 17.12 and get 57.12.

equation álgebra
3x^2 = 12
a. +3
b. +2
C. +3.5
d. +1.5

Answers

Answer:

x=-2,2

Step-by-step explanation:

Since this is a quadratic equation, -2 or 2 could be the possible answer

Steps

$3x^2=12$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x^2}{3}=\frac{12}{3}$

$\mathrm{Simplify}$

$x^2=4$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

Show Steps

$\sqrt{4}=2$

Show Steps

$-\sqrt{4}=-2$

$x=2,\:x=-2$

Jane drew a point A located at (-2,-3) and point C located at (8,-3). What is the x-coordinate of point B that bisects? AC

Answers

Answer:

x-coordinates of point B = 3

Step-by-step explanation:

If the extreme ends of a segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], coordinates of the midpoint of the given segment will be = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Coordinates of the extreme ends of segment AC are A(-2, -3) and C(8, -3).

Since B is a point that bisects the segment AC, coordinates of point B will be,

= [tex](\frac{-2+8}{2},\frac{-3-3}{2})[/tex]

= (3, -3)

Therefore, x-coordinates of the point B will be = 3

what does 7/8-6/7 equle

Answers

Answer:

1/56

Step-by-step explanation:

7

8

6

7

=

1

56

(Decimal: 0.017857)

Answer: 0.01785714285 is what it is in decimal form AND

1/56 in fraction form.

Step-by-step explanation:

So we are given 7/8 - 6/7.

WE have to find what it is:

0.01785714285 is what it is in decimal form AND

1/56

i need to simplify this expression

1+4(2x-3)-x

Answers

Answer:quit

Step-by-step explanation:

7x-11 hahahshsbsbehsvbsbsbsb

find the square of 12 find the square root of 196,324

Answers

Step-by-step explanation:

the square of 12 =12×12 =144

and the square root of 196324 = ✓196324

= 443.084642

Which graphs have rotational symmetry? Check all of the boxes that apply.

On a coordinate plane, a cubic function has an x-intercept of (0, 0).

On a coordinate plane, an absolute value function opens down.

On a coordinate plane, an oval is in quadrant 1.

Answers

Answer:

The correct option are;

On a coordinate plane, a cubic function has an x-intercept of (0, 0)

On a coordinate plane, an oval is in quadrant 1

Step-by-step explanation:

Rotational symmetry of a shape is a shape that when it is rotated on its axis to a given angle less than one complete revolution, the shape looks exactly like the pre-image or original appearance of the shape

For a cubic function that has x-intercept = (0, 0) we have;

y = f(x) = a·x³ + b·x² + c·x

Has the shape f a fan blade and therefore, looks the sane when rotated when rotated through 180°

The shape of an oval looks the same when rotated through 180°

Answer:

This graph has rotational symmetry about the point

(0,0).

This graph has rotational symmetry about the point (2,4).

Step-by-step explanation:

second part on edge 2020 !

a retailer sold a shirt for rupees 1000 and he made a profit of 25% find the purchased price of a shirt​

Answers

Answer:

750 rupees is used to make shirt

250 rupees is profit

Step-by-step explanation:

If the retailer sold the shirt for 1000 rupees and got 25% profit then that means 1/4 is profit and 3/4 is how much the retailer spent to make the shirt.

So 1000 times 3/4 is 750 which is how much the shirt really cost and

1000 times 1/4 is 250 and that is the retailers profit.

Jason is making punch by mixing of a cup of orange juice and of a cup of mango juice. He wants to mix the orange juice and mango juice in the same ratio to make 21 cups of punch. Use the table to determine how many cups of orange juice and mango juice he will need.

Answers

Step-by-step explanation:

the answer is 42 because 2 times the 21 equals 42

I NEED HELP QUICK Complete the division problem by determining the number that should be placed in the box. (4 points)

Division bracket with 14 on the left, 7658 inside, and 547 above it. Underneath the 7658, there is a minus 7000. Then there is a solid line with 658 under the line. There is a minus sign and an empty box followed by a solid line. Beneath the line, there is a 98 minus 98 underneath. There is a solid line and a 0 to end the problem.

Answers

Answer:

560

Step-by-step explanation:

   

        547      

14 | 7658

    -7000

       658

     - 560

          98

        - 98

            0

PLEASE help me on this it’s GEOMETRY DO NOT waste my answers PLEASE help me it’s URGENT

Answers

Answer:

Step-by-step explanation:

I think it's B (GBF=ECF) but I could be wrong. I only took geometry last year but I think that's your best option... good luck!

What number should be in the blank box?

Answers

Answer:

22

Step-by-step explanation:

Add every other number and it equals the next in line.

2 + 5 = 7

3 + 7 = 10

5 + 10 = 15

7 + 15 = 22

And as proof of concept:

10 + 22 = 32

Answer:

22! Mark the other answer brainleist!

Step-by-step explanation:

2+5 = 7

3+7 = 10

7 + 15 = ?

15 + ? = 32

? must be 22!

-2y+9=3 uiiii iiiiiiiiiiiiiiiii

Answers

Answer:

y=3

Step-by-step explanation:

-2y+9=3

Step 1: Subtract 9 from both sides.

−2y+9−9=3−9

−2y=−6

Step 2: Divide both sides by -2.

−2y /−2  =  −6 /−2

y=3

Answer:

y=3

Answer:

y=3

Step-by-step explanation:

Subtract 9 from both sides.

−2y=3−9

Simplify  3-9 to -6

-2y=-6−2y=−6

Divide both sides by -2

​​ y= -6/-2

Two negatives make a positive.

y= 6/2

simplify

y=3

hope i helped

-lvr

Graph the function. g(x)=2(x +2)(x +6)g(x)=2(x+2)(x+6)

Answers

Answer:

Graph the parabola using its properties and the selected points. Direction: Opens Up Vertex: ( 4 , − 4 ) Focus: ( 4 , − 15 4 ) Axis of Symmetry: x = 4 Directrix: y = − 17 4 x y 2 0 3 − 3 4 − 4 5 − 3 6 0 image of graph

Hoped I helped

Step-by-step Explination + Answer:

Graphing

So the vertex is at (-4,-8)

In order to graph, we need the vertex and another point. That other point can be one of the zeros we found, like (-2,0)

how do I find the value of x for a triangle​

Answers

Answer:

a+b+c=180

Step-by-step explanation:

If you already have the first 2 values, add them together and subtract that number from 180. The total of all angles added together should always equal 180.

Answer:

a+b+c= 180

Step-by-step explanation:

show the following numbers on number line 3/2, 5/2, -3/2

Answers

When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.

Since -3/2 is less than 0, it will go to the left of 0.

Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.

Remember to use sub points of 1.

Best of Luck!


(iii) sin (90° - A) cos (90° - A)=tanA/
1+tan²A​

Answers

Answer:

See below

Step-by-step explanation:

[tex]A=\theta[/tex]

[tex]$\sin(90\º - \theta) \cos(90\º - \theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]

According to cofunctions identities:

[tex]\boxed{\sin(90\º - \theta)=\cos(\theta)}[/tex]

[tex]\boxed{\cos(90\º - \theta)=\sin(\theta)}[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]

Once

[tex]$\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)} $[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{ \frac{\sin(\theta)}{\cos(\theta)}}{1+ \frac{\sin^2(\theta)}{\cos^2(\theta)}}$[/tex]

Take

[tex]$1+\frac{\sin^2(\theta)}{\cos^2(\theta)}}=\frac{\sin^2(\theta) + \cos^2(\theta)}{\cos^2(\theta)} $[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{ \frac{\sin(\theta)}{\cos(\theta)}}{\frac{\sin^2(\theta) + \cos^2(\theta)}{\cos^2(\theta)} }}$[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\cos^2(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \cdot \frac{\cos^2(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)\cos(\theta)}{\sin^2(\theta) + \cos^2(\theta)} }$[/tex]

Once

[tex]\boxed{\sin^2(\theta) + \cos^2(\theta)=1}[/tex]

[tex]$\cos(\theta) \sin(\theta) = \frac{\sin(\theta)\cos(\theta)}{1 }$[/tex]

[tex]$\cos(\theta) \sin(\theta) = \sin(\theta)\cos(\theta)$[/tex]

[tex]$\therefore \sin(90\º - \theta) \cos(90\º - \theta) = \frac{ \tan(\theta)}{1+ \tan^2(\theta)}$[/tex]

Other Questions
If have 492.08 how much do you have to save up to get 754 I need this asapppp What is the answer? Please Will mark brainliest, 42 points i dont understand how to do this Indicate differences between oogenesis and spermatogenesis 1. final number of gametes produced 2. timing of meiosis II 3. timing of onset of prophase I 4. final number of chromosomes in the mature gamete The area of a rectangle is (x3 5x2 + 3x 15), and the width of the rectangle is (x2+ 3). If area = length width, what is the length of the rectangle? x + 5 x 15 x + 15 x 5 list five application of personal computers. is there a limit to the application of computers? Do you envision any radically different and exciting application in the near future? if so, what? Which of the following cell structures can be found in prokaryotic cells?A. chloroplastsB. ribosomes C. mitochondrlaD. Nuclei Find the midpoint of the segment with the following endpoints.(-9, -5) and (-1, -9) solve the inequality 5x - 4 > 4 - 3x Which of the following statement(s) are true? A. NAND gates output a 1 when each of its inputs is a 1.B. All circuits can be created using only NOR gates.C. A circuit with 4 inputs has 16 possible combinations (truth table lines).D. You should never tie 2 outputs of two distinct circuits together. graph the following lines y=2/3 x +4 A _____ is a written document with detailed specifications that is used to request bids for equipment, supplies, or services from vendors. George bought 3 peppers for a cost of $0.40 each. How much will he pay for the peppers? Spongebob was trying to make Krabby Patties that weighed 12oz. He made 4 Krabby Patties. They all had the following weights: 12.12oz; 11.9oz; 12.2oz; 12.1oz. Is this an example of Accuracy? Precision? Both? Neither? Match the following differential equations with their solutions. The symbols A, B, C in the solutions stand for arbitrary constants. You must get all of the answers correct to receive credit. 1. d^2y/dx^2 + 25y = 0 2. dy/dx = 2xy/x^2 - 5y^2 3. d62y/dx^2 + 16 dy/dx + 64y = 0 4. dy/dx = 10xy 5. dy/dx + 24x^2y = 24 x^2 A. y = Ce^-8x^3 + 1 B. 3yx^2 - 5y^3 = C C. y = Ae^-8x + Bxe^-8x D. y = Ae^5x^2 E. y = A cos(5x) + B sin(5x) Planet Earth Developers is a large nationwide construction company with home offices in Lansing, MI. The local media often remarks about the pristine landscaping that surrounds the home office that sits on a 30-acre complex. At the back end of the complex are several large warehouses and garages that hold large equipment. The grounds surrounding these warehouses look like a well-maintained park. Across the street from the garages are several shops and businesses. The CEO, "Planet Paul" (as his employees call him), often talks about how thankful he is that the town permits him to store the company equipment at that site, and vows to always maintain the premises for his neighbors (the other businesses that thrive in that area), not to mention that he asks 100 employees to come to work there everyday. What statements describes Planet Paul's business philosophy? belief in the divine rights of kings means believeing that kings are chosen by? Attorneys who work for a company and are part of the executive or mid-level management team are specifically referred to as _________________________l Study the sentence below. Highlighting a word, phrase, or a sentence is used to emphasize or CALL ATTENTION to the text Which word is highlighted?