A rectangle is shown.

What is the area of the rectangle?

Answer:

Collection increased by 78%.

Step-by-step explanation:

Last year number of vinyl records in Craig's collection = 63

Now he has number of vinyl records = 112

Number of vinyl records increased = 112 - 63 = 49

Percentage increase in his collection = [tex]\frac{\text{Number of records increase}}{\text{Number of records last year}}\times 100[/tex]

                                                               = [tex]\frac{49}{63}\times 100[/tex]

                                                               = 77.8

                                                               ≈ 78%

Therefore, his collection increased by 78%.

Answer:

The probability of rolling a six on this cube is A. 1/6

Step-by-step explanation:

Just... Think about it. The cube has six sides (the total, or denominator). There is only one six (the numerator). So, the answer is 1/6.

Have a wonderful day/night! <3

Answer:

Angle D is 63

Step-by-step explanation:

oAngle B is congruent and correponding to angle D

Angle B is 63 degrees

so therefore, angle D is also 63 degrees

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D

-Lil G

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

Answer:

What the other guy said

Step-by-step explanation:

Answer:

Sarah bought 7 coach tickets and 4 first class tickets.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=11 (1)

240x+1100y=6080 (2), where:

x is the number of coach tickets

y is the number of first class tickets

In order to find the value of x and y, first you have to solve for x in (1):

x=11-y (3)

Now, you have to replace (3) in (2) and solve for y:

240(11-y)+1100y=6080

2640-240y+1100y=6080

860y=6080-2640

860y=3440

y=3440/860

y=4

Finally, you can replace the value of y in (3) to find the value of x:

x=11-y

x=11-4

x=7

According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.

Answer:

Let the breadth be x and the length be y .

Original area =x.y

Now

length=y+2

breadth=x-2

Area=x.y-28 or x-2 × y+2

xy-28=(x-2)(y+2)

xy-28=xy+2x-2y-4

2y-2x=24

y-x=12

y=12+x

length=y-1

breadth=x+2

Area=xy+33 or (x+2)(y-1)

xy+33=(x+2)(y-1)

xy+33=xy-x+2y-2

35=2y-x

2y=35+x

y=(35+x)÷2

12+x=(35+x)÷2

24+2x=35+x

x=35-24

x=11

y=23

Therefore length is 23cm and breadth is 11cm

Answer:

20 feet

Step-by-step explanation:

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

We solve this using proportion of

Height/ Shadow

= 5/8 = x/32

Cross Multiply

8x = 5 × 32

x = 5 × 32/8

x = 20 feet

The height of the tree is 20 feet

Answer:

x=75.4

360-(13.2*2)=333.6

333.6=(8+4)4

333.6=32+4x

301.6=4x

***x=75.4***

Answer:

5 * w = 15

w= 3

Hope this helps!

Answer:

5•15=w

(Is this subtracting from the total?)

was there more to this question that you didn’t include?

Answer:

10

Step-by-step explanation:

I'm stuck on that question too but I would say 10

Answer:

The answer is 10 :))

Step-by-step explanation:

Answer:

950kg

Fruits = 3052.06

vegetables = 2712.94

$0.12

$0.44

Step-by-step explanation:

The first step is to determine the total tonnes of fruits and vegetables sold

7/12 x b = 2.28

b = 2.28 tonnes

Next we determine the tonnes of fruits sold

5/12 x 2.28 = 0.95 tonnes

Next we convert tonnes to kg

1 tonne = 1000kg

0.95 x 1000 = 950 kg

Money he received from selling fruits = 9/17 x $5765 = $3052.06

Money he received from selling vegetables = $5765 - $3052.06 = $2712.94

If price was reduced by 40%, price would be (100-40%) 60% of the original price

0.6 x 0.35 = $0.21

If price was increased by 25%, price would be (100 + 25) 125% of the original price

1.25 x 0.35 = $0.44

In this exercise we have to use the knowledge of finance and percentage to calculate the values ​​of vegetables and fruits:

A)[tex]950\ kg[/tex]

B)Fruits: [tex]\$ 3052.06[/tex] and Vegetables: [tex]\$ 2712.94[/tex]

C)[tex]\$0.12[/tex]

D)[tex]\$0.44[/tex]

The first step is to determine the total tonnes of fruits and vegetables sold:

[tex](7/12)*( b )= 2.28\\b = 2.28\ tonnes[/tex]

Next we determine the tonnes of fruits sold:

[tex](5/12)*( 2.28) = 0.95 \ tonnes[/tex]

Next we convert tonnes to kg:

[tex]1 \ tonne = 1000 \ kg\\(0.95)*( 1000) = 950\ kg[/tex]

If price was reduced by 40%, price would be 60% of the original price, so:

[tex](0.6)*(0.35) = \$0.21[/tex]

If price was increased by 25%, price would be 125% of the original price, will be:  

[tex](1.25)*(0.35) = \$0.44[/tex]

See more about finances at brainly.com/question/10024737

it is C because x dont reapeat

Answer:

4) 3.5

5) -1.375

Step-by-step explanation:

plug in x for the missing number and solve

Answer:  

4. 12 (3.5) -15 = 27

5. -18 (445.5) -¾ = 24

Step-by-step explanation:

4. 12? -15 = 27

         12? = 42

             ? = 3.5

5. -18? -¾ = 24

         -18? = 24 + 3/4

          -18? = 96/4 + 3/4

         -18? = 99/4

              ? =  891/2  or 445.5

Answer:

112°

Step-by-step explanation:

50 + 62 = 112

Question:

A shop is having a sales all items are reduced by 25%. Work out the sale price of an item normally priced at £60?

Answer:

The new price is £45

Step-by-step explanation:

Given

[tex]Sales\ price = \pounds 60[/tex]

[tex]Rate = 25\%[/tex]

First, calculate the reduction

[tex]Reduction = Rate * Sales\ price[/tex]

[tex]Reduction = 25\% * \pounds 60[/tex]

[tex]Reduction = \pounds 15[/tex]

The new price is:

[tex]New = Sales\ price - Reduction[/tex]

[tex]New = \pounds 60 - \pounds 15[/tex]

[tex]New = \pounds 45[/tex]

Answer:

29,100

Step-by-step Explanation

Multiply the annual tuition by 4. then subtract that by what he saved

Answer:

Step-by-step explanation:

552,200 people × (1 km²)/6,300 people) ≈ 87.65 km²

Answer:

20

Step-by-step explanation:

Answer:

Common Difference: [tex]-\frac{1}{2}[/tex]

The ninth term: -1

Step-by-step explanation:

The sequence can be written like this,

3, 2.5, 2, 1.5, 1, ....

Here the common difference is clearly -0.5 or [tex]-\frac{1}{2}[/tex], and we can conclude that [tex]n^{th}[/tex] number is [tex]3 - 0.5(n-1)[/tex]. So the 9th term is,

[tex]3 - 0.5(9 - 1)\\= -1[/tex]

Answer:

47

Step-by-step explanation:

Hey There!

So remember all of the angles in a triangle will add up to equal 180

So to find the missing angle we subtract the given angles (65 and 68) from 180

180-65-68-47

so we can conclude that the measure of the missing angle is 47

Answer:

12n + 2

Step-by-step explanation:

[tex]w(n) = un + 2[/tex]

[tex]w(3n) = 4(3n) + 2[/tex]

[tex]ans = 12n + 2[/tex]

hope it helps you

have a great day!!

Answer:

Right, isosceles

Step-by-step explanation:

Right: it has a 90° angle

Isosceles: two sides of equal lengths

Answer:

42

Step-by-step explanation:

46-4=42

Answer:

son is 14

Step-by-step explanation:

s = son's age

46 = 4 + 3s

42 = 3s

s = 14

Answer:

The correct answers are:

A. The Vertical axis should be labelled as the Number of Jars for Each Flavour

B. an interval of 7 could be appropriate

Step-by-step explanation:

A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.

B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.

Multiply using the distributive property.

14 x − 14

Hope this helps you!

Answer:

14x-14

Step-by-step explanation:

2(7x-7)=14x-14

Answer:

Step-by-step explanation:

Inscribed angle is half the measure of the intercepted arc

Correct choice is B