Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
​(with full working)

Answers

Answer 1

9514 1404 393

Answer:

  0.33 litres

Step-by-step explanation:

If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...

  3(m +0.07) +4m = 2.52

  7m +0.21 = 2.52 . . . . . . . . simplify

  7m = 2.31 . . . . . . . . . . . . . subtract 0.21

  m = 0.33 . . . . . . . . . . . . . divide by 7

Each mug can hold 0.33 litres.


Related Questions

Anyone good at 8th grade math please help out

Answers

Answer:

It should be y = -x + r or y = r - x. To solve for y you would have to isolate y by removing all other variables from y's side of the equation.

True or false diagonals of rectangle are equal

Answers

Answer: A rectangle is a quadrilateral in which all angles are right angles. A rectangle is a parallelogram, so its opposite sides are equal. The diagonals of a rectangle are equal and bisect each other.

Step-by-step explanation:

In how many different ways can the letters in the word PAYMENT be arranged if the letters are taken 6 at a time?

A. 5040
B. 42
C. 2520
D. 7

Answers

Answer:

D.

Step-by-step explanation:

7

PAYMENT

1234567

THERE ARE 7 ELEMENTS

Write the equation of the line that passes through
the points (-1,2) and (6, 3) in slope-intercept form

Answers

so if we’re trying to get to y = mx + b we first have to find the slope using the two points using the formula :

m = y2 - y1/x2 - x1

x1 = 6
x2 = -1
y1 = 2
y2 = 3

m = 3 - 2/6 +1
m = 1/7

from this point we now have y = 1/7x + b
all we now need is “b” (intercept) and to find that we’ll plug in one of our given points and solve for b.

3 = 1/7(6) + b
b = 2.14

with the slope and the intercept we have our answer :

y = 1/7x + 2.14

hope this helps !

10. (05.05 LC)
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: (5 points)
Y
The origin is not included in the shaded region and the shaded area is above the line.
O The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.

Answers

Answer:

c

Step-by-step explanation:

What percentage of $250 is $75?​

Answers

To calculate the percentage,

75/250×100 = 30%

Answer:

30%

Step-by-step explanation:

75/250=0.3

0.3= 3/10

3/10=30%

pls help anyone!! i don’t know the answers :(

Answers

Answer:

36 Times

Step-by-step explanation:

If there is 10 fruits and 3 of them are pears

10x 12= 120

3x12 = 36

Answer:

Step-by-step explanation:

all the fruits are 10

the pears are 3

probability of picking a pear is 3/10

out of 120 times the pear may be picked 120*(3/10) = 36 times

which is the best estimate of 5 5/6 - (1 1/4 + 3 7/8)​

Answers

Answer:

Step-by-step explanation:

"Best estimate' doesn't happen automaticallly, because you have to define "best" in this context.  We could merely round all numbers and work with the results:  

For example, starting with the work inside parentheses, we have:

5 5/6 - (1 + 4) = 5 5/6 - 5.  We must round 5 5/6 up to 6.  Then the "best estimate' is 6 - 5, or just 1.

The solution of the given expression is 17 / 24.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is 5⁵/₆ - (1¹/₄ + 3⁷/₈)​. The value of the expression will be calculated as:-

E =  5⁵/₆ - (1¹/₄ + 3⁷/₈)

E = 35 / 6 - [ 5 / 4 - 34 / 8 ]

E = 35 / 6 - [ ( 10 + 31 ) / 8 ]

E = 35 / 6 - 41 / 8

E = ( 140 - 123 ) / 8

E = 17 / 21

Hence, the solution of the expression is 17 / 21.

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Is ΔABC ~ ΔDEF? Explain. Triangle A B C has angle measures A 18 degrees, B 110 degrees, and C unknown. Triangle D E F has angle measures D 52 degrees, E 18 degrees, and F unknown.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

Triangle ABC has angle measures ...

A = 18°B = 110°C = 180° -18° -110° = 52°

Triangle DEF has angle measures ...

D = 52°E = 18°F = 180° -52° -18° = 110°

Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...

  ΔABC ~ ΔEFD

The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.

What is the value of x?

Answers

x = 6 × 12/8

x = 6 × 3/2

x = 3 × 3

x = 9

........the value of x=9

What is the slope intercept form of this line?

Answers

Answer:

y = 1/4 x - 2

Step-by-step explanation:

y = mx + b

m = 1/4 *rise/run --> rises 1 square then runs 4 squares to the left indicating it's positive

x = x

b = y-intercept --> (0,-2) --> -2

The average number of employees that call in sick for the day over the course of a year is 25. The number of employees that call in sick on 12 days are 25, 10, 16, 39, 27, 25, 32, 25, 25, 22, 28, and 14. Enter the sample mean and the population mean in the boxes

Answers

Answer:

sample mean (x with the bar on top) =24

Step-by-step explanation:

Take the mean of all the number of employees but divide by the number of days size: (25+10+16...)/12=25

population mean (mu) =11.52

The same goes for the other one but divide by the population which is 25

Find the value of a in this isosceles trapezoid. D. 11 A. 7 B. 15 C. 4​

Answers

Answer:

B

Step-by-step explanation:

Because 15-4=11

and both angles are equal

What percentage of the individuals rode the Ferris wheel and did not ride the roller coaster?

Answers

Answer:

B and D

Step-by-step explanation:

they both make srnse to me

The required percentage of individuals is 66.07%.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The required data from the given table is as follows,

The total number of individuals is 112.

The number of individuals who ride Ferris wheel but not roller coaster is 74.

As per the question the percentage can be found as below,

Required percent = (The required number ÷ Total number) × 100

                              = (74 ÷ 112) × 100%

                               = 66.07%

Hence, the percentage of the individuals rode the Ferris wheel and did not ride the roller coaster is  66.07%.

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What is the area of the figure below?
:8 in.
21 in.
A 84 in2
B 160 in?
C 168 in2
D 336 in?

Answers

Answer:

The answer is C. 168 in^2

Step-by-step explanation:

(Area = Base x Height)

21 * 8 = 168

My math assignment is due in 15 min pls help with this question

Answers

Answer:

1st quartile: 2.6

2nd quartile or median: 3.1

3rd quartile: 3.25

Step-by-step explanation:

Simplify the following fraction 4½-2⅝​

Answers

Answer:

Step-by-step explanation:

4 1/2 - 2 5/8

4 4/8 - 2 5/8 = 1 and 7/8

i mean i guess you could also do this witho ut sol ving

4 4/8 - 21/8 --> 36/8 - 21/8

i dk it's si mplify not solve so here?

Find the volume of the pyramid. Round to the nearest tenth if necessary.

Answers

168 yds i’m pretty sure sorry if i’m wrong

are these correct???

Answers

Answer:

yes

Step-by-step explanation:

Need help with question?

Answers

Answer:

150

Step-by-step explanation:

15 times 8 = 120

14-8 = 6

6 times 5 = 30

150

Ooh yes I love answering these

First, you have to find the area
15 x 8 = 120
6 x 5 = 30
Add : 150
So the answer is A

HELP ME PLEASE (pre algebra)

Answers

Answer:

30

Step-by-step explanation:

5ab -2c

Let a = 2  b=3  c=0

5*2*3 - 2*0

30 - 0

30

in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes. if a child is selected at random, find the probability that the child has blonde hair or brown eyes

Answers

[tex] \frac{14}{35} + \frac{10}{35} - \frac{4}{35} = \frac{4}{7} [/tex]

The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

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.

here, we have,

given that,

in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes.

let, the event be A,

i.e. A = if a child is selected at random, that child has blonde hair or brown eyes.

now, we have,

total no of sample space = 35

probability of blonde hair = 10/ 35

probability of brown eyes = 14/35

probability of both blonde hair and brown eyes = 4/35

so, we get,

probability of  blonde hair or brown eyes = 14/ 35 + 10/ 35 - 4/35

                                                                    = 20 / 35

                                                                    = 4/7

Hence, The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

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find the hcf and the lcm of these for 10 points plz

Answers

Answer:

LCM of 64 and 94= 3008

HCF of 64 and 94= 2

Step-by-step explanation:

Do a venn diagram with the prime factors of 64 on the left, and the prime factors of 94 on the right. If they have the same factors put them in the middle of the venn diagram. Then you multiply everything in the diagram and get the LCM. The HCF is found by multiplying the factors in both lists which is only 2.

how do you solve the problem 2p = 60 ​

Answers

you have to separate the 2 and p so divide 60 by 2 which will leave p=30 and now if you plug it in you see 2 times 30 equals 60 :)

A camera company sells two types of Point and Shoot cameras. Model A costs $150 and Model B costs $225. If the company sold 22 cameras for a total $3900 last month, how many of each model were sold? PLEASE HELP ASAP!!

Answers

Answer:

A=14 and B= 8

Step-by-step explanation:

the equation systems:

150A + 225B = 3900

=> 6A + 9B= 156 .... (1)

A + B = 22 ..... (2)

<=> 6A + 9B = 156

6A + 6B = 132

_____________-

3B = 24

B= 8 and A = 22-8 = 14

Given Limit of f (x) = 6 as x approaches 1. What is Limit of left-bracket 5 f (x) right-bracket as x approaches 1? 5 6 11 30

Answers

Answer: D. 30

Step-by-step explanation:

Edge 100%

Answer:

the answer is d on edge

Step-by-step explanation:

give me question about equation of a circle question with real life situation.​

Answers

___ lines are lines that do not lie in the same plane and have no points in common
A- perpendicular
B- transversal
C- parallel
D-skew
E- coincident
F- concurrent

15. Find the rate of change

Answers

The answer is -3/2
#1 x and y have equal rates of change
#2 y has the greater rate of change.
#3 clearly y changes faster. Heck, they told you that in just so many words.
#4 ok
#5 you gave the values for y=x^2
But the function was y = x^2-3


What is the surface area of the prism?

Answers

Step 1: Find the area of the bases (triangles)

A = 1/2 * base * height

A = 1/2 * 16 * 6

A = 48

48 + 48 = 96

Area of the triangles = 96 cm^2

Step 2: Find the area of the sides (rectangles)

A = base * height

A1 = 16 * 12

A1 = 192

A2 = 10 * 12

A2 = 120

120 + 120 = 240

240 + 192 = 432 cm^2

Step 2: Add the areas together

96 + 432

528 cm^2

Hope this helps!! :)

Please help me i gotta get this finished... :P

Answers

Answer:

A) it depends. If they bought 10 calculators, we would multiply 31.25 by 10. 31.25x10=$312.50

B)Divide 500 by 31.25. Since each calculator is $31.25, we divide $500 by it to see how many they can buy with $500. 500/31.25=16

Step-by-step explanation:

*GIVE FREE COOKIE*

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