Mum bought a litre of orange juice. She filled 5 glasses and had 1/5 of a litre left. How much was in each glass?

Answer:

5 shelves

Step-by-step explanation:

Given the following :

Width of shelves = 56cm

Maximum thickness of books = 16cm

When placed side-by-side, the entire collection of books takes up 2.4m

Minimum number of shelves required to guarantee that all of the books can be displayed in the book case.

Entire book collection = 2.4m = (2.4 × 100) = 240cm

Width of shelf = 56cm

In other to guarantee that the bookshelf contains all the books, we can assume that the each book is of maximum width, 16cm

Hence, maximum number of books each shelf can hold with guarantee

Width of shelf / max. Width of book

= 56cm / 16cm = 3.5

Hence, a shelf can hold 3 books with full guarantee.

If books are all 16cm thick, then the number of books ;

240 cm / 16 cm = 15 books

If one shelf can hold 3 books, then,

15/3 = 5 shelves are required to hold the books with maximum guarantee.

Step-by-step explanation:

hope the work helps for your answer :)

Answer:

w = 42

x = 29

Step-by-step explanation:

We know that w + 138 must equal 180, so we get 42 for w. Then we know that 19 + x + 2 = 90, and w = 42. So if we add 42 + 19, and subtract that from 90, we get 29. Hope this helps!

Answer:

angle NMP = 63°

angle LMP = 74°

Step-by-step explanation:

Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°

But angle NML = 137°.

So,

angle NMP + angle LMP = 137°

=> x° + x° + 11° = 137°

=> 2x° + 11° = 137°

=> 2x° = 137° - 11°

= 126°

=> x° = 126/2 = 63°

angle NMP = 63°

angle LMP = 63 + 11 = 74°

Answer:

multiply a term by 2 and add 1 to get the next term

Step-by-step explanation:

3×2=6 +1 =7

7×2=14+1= 15

15×2=30+1=31

Answer:

  Multiply a term by 2 and add 1 to get the next term

Step-by-step explanation:

The first differences of terms are ...

  7 -3 = 4

  15 -7 = 8

  31 -15 = 16

We notice that these increase by a factor of 2. This signifies an exponential sequence. That factor (2) will be the value that each term is multiplied by to get the next. This eliminates the choices "add 4" and "multiply a term by 3 ...".

Trying the remaining two choices, we find that the one that fits is the one shown above.

  3+7 ≠ 15, so "the sum of the two preceding terms" doesn't work

  2(3) +1 = 7; 2(7) +1 = 15; 2(15) +1 = 31, so "multiply by 2 and add 1" works fine

Answer:

-7/12

Step-by-step explanation:

2/3×-7/8

= -7/12

Answer:

-7/12

Step-by-step explanation:

2/3×(-7)/8

2×(-7) = -14

3×8 = 24

-14/24= -7/12

Answer:

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3. She will walk 3 miles in an hour.

The distance that Anusha covered in one hour is 3 miles

If Anusha is walking on a hiking trail at a rate of three-fourths miles in One-fourth hour, this is expressed as:

3/4 miles = 1/4 hours

We need to get the rate of Aisha that is the distance traveled in an hour

x = 1 hour

Divide both expressions

3/4x = 1/4

Cross multiply

4x = 3 * 4

4x = 12

x = 12/4

x = 3

Hence the distance that Anusha covered in one hour is 3 miles

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Answer:

The total time spent on both fishing and swimming is 3 3/4 hours

Step-by-step explanation:

Here, we are interested in knowing the total time spent on fishing and swimming.

From the question, we are made to know that the time spent fishing is 1 1/4 hours or simply 5/4 hours.

Then they spent two times of this time swimming.

The time spent swimming is thus 5/4 * 2 = 5/2 hours

So the total time spent on both swimming and fishing will be;

5/4 hours + 5/2 hours = (5 + 10)/4 = 15/4 = 3 3/4 hours

Answer:

y=-2x-1

Step-by-step explanation:

first take 2 points from the graph to find m ( linear equation y=mx+b)

(-1,1) and (-2,3)

m=y2-y1/x2-x1

m=3-(1)/-2+1

m=2/-1

m=-2

now find b at point -1,1

y=-2 x+b

1=-2(-1)+b

b+2=1

b=1-2 ⇒ b=-1

y=-2 x -1

Answer:$40

Step-by-step explanation:

x-12=28

+12. +12

X=40

Answer:a) 9 x t

b) x - 1/2c

c) m + 7.1

Step-by-step explanation:

STEP 1

Giving the algebraic expression  becomes

A- The product of 9 and a number t. =       9 X t

B. The difference of a number x and 1/2 c=     x  -  1/2 c

C.   The sum of a number m and 7.1  =      m + 7.1

Step 2

The answers are

a) 9 x t

b) x - 1/2c

c) m + 7.1

Answer:

92776

Step-by-step explanation:

From the given question,

The analysis of the given question can be computed as follows:

I have 5 digits

My name is worth                      90000

my two is worth                            2000

one of my seven is worth                 70

and the other is worth 10 times

as much i.e 10× 70 = 700                700

my other digit is six                               6

What number am I?

So, we are expected to look for the summation of all the numbers

i.e   90000 + 2000 + 70 + 700 + 6

= 92776

Thus, the number is 92776

Answer: 75

Step-by-step explanation:

This should help you

Answer:

0.6×2.5

6.0×2.5

6.5×2.5

Step-by-step explanation:

This is in order from least to greatest

Answer:

6+6+=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Through six different ways ;

[tex]1+11=12\\2+10=12\\3+9=12\\4+8=12\\5+7=12\\6+6=12[/tex]

Answer:

1- 3(BDE)

2- 37.18 (83.36 - 46.18=64)

3- 64 (83.36 - 19.36)

4- 140.2  (56.84 + 83.36=140.2)

Answer:

see below

Step-by-step explanation:

The covers ( there are 2) are

2* .9 mm = 1.8 mm

Depending on how they are defining pages

If they are defining pages as the number of papers

400 pages at .13 =

400 *.13 = 52 mm

total = 2 covers + 400 pages

       = 1.8 + 52

       53.8 mm

If they are defining pages as the page numbers

Each page number is on the front and back so 400/2 = 200 pieces of paper

200 pages at .13 =

200 *.13 = 26 mm

total = 2 covers + 400 pages

       = 1.8 + 26

       27.8 mm

Answer:

52.8 mm thick

Step-by-step explanation:

0.9mm X 2mm90 = 1.8 mm

0.13mm X 400mm = 52 mm

1.8mm + 52mm = 53.8 mm

The value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰

Before we can simplify with an exponent of zero, first we must understand that any number raised to the power of zero gives 1. Hence:

1,999,999 = 1,999,999 × 1

Since 1 can be expressed as 10⁰, the value becomes:

1,999,999 = 1,999,999 × 10⁰

Hence the value of 1,999,999 with an exponent of 0 is 1,999,999 × 10⁰

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Answer:

The slope is 0

Step-by-step explanation:

The equation is y = 9

As you cans ee thre isn't a slope.

Answer:

9-9/14-7=0/7= undefined

Step-by-step explanation:

you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Answer:

x2 + 6x = 0 - 7

8x = 7

8x/8 = 7/8

x = 7/8

Answer: 3x + (-4) = x + 2

Step-by-step explanation:

Hope it helps

Answer:

3x + (–4) = x + 2

Step-by-step explanation:

Solution,

We have,

Width of rectangle, b = (2.5u+9.8) cm

Length of rectangle, l = (1.5u+3.9) cm

We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:

Perimeter = 2(l+b)

P = 2[(2.5u+9.8)+(1.5u+3.9)]

Collecting like terms

P = 2[(2.5u+1.5u)+(9.8+3.9)]

P=2(4u+13.7)

⇒ P = 8u+27.4

So, the expression for the perimeter of the rectangle is (8u+27.4) cm.

Answer:

A. 74

Step-by-step explanation:

777/3 = 259

2/7 of 259 is 2/7 times 259 and that is 74

74 people are going to an art or design institute

Answer: option c

Step-by-step explanation:

Answer:

C major

Step-by-step explanation:

major key has the same number of sharps and flats as the key of minor.

Answer:

71

Step-by-step explanation:

Start solving using simultaneous equation,From there, we have r to be 3 and t to be 7