A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.


Please include your working out!!

Answer:

D - 2in

Step-by-step explanation:

Answer:

Kevin’s garden is rectangular and measures 12 metres by 15 metres. He plans to lay new turf in the garden which will cost £8 per square metre. How much turf will he need to buy and how much will this cost? 4)Inga needs to buy enough skirting board to replace the old skirting board in her bedroom. The bedroom is 5m 20cm long and 4m 80cm wide.

Step-by-step explanation:

Answer:

4.925

Step-by-step explanation:

first you minus 20.8 from 1.1, after that you divide 19.7 by 4 and that's is how you would get 4.925.

Answer:

U': (0 , 12)

Step-by-step explanation:

(0 , 2) -> (0*6, 2*6) -> (0 , 12)

Answer:

A.

Step-by-step explanation:

Answer:

yx

Step-by-step explanation:

The answer is yx

We can draw the conclusion that linear functions can be used to represent each of the ideas. Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).

A linear function is denoted by the equation y = mx + b, where m is the slope or unit rate between the two variables, x and y, and b is the beginning value or y-intercept.

The initial value is b.

A linear function is a graph with straight lines.

A unit rate exists for all linear functions (b).

here, we have,

given that,

Sarah's suggestion can be expressed by a linear function because the graph that represents it is a straight line.

Gene's Proposal's table displays the unit rate as change in y/change in x = 7. As a result, a linear function can be used to express it.

Paul's idea has a linear function as its equation.

This leads us to the conclusion that linear functions can be used to represent each of the ideas.

Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).

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Answer:

SA = 108cm² (the 2nd option)

Step-by-step explanation:

h = 4

l = 3

w = 6

SA = 2(lw + lh + wh)

SA = 2((3)(6) + (3)(4) + (6)(4))

SA = 2(18 + 12 + 24)

SA = 2(54)

SA = 108cm²

The surface area of the rectangular prism is 108cm².

Since

height = 4

length = 3

width = 6

So, here the surface area is

SA = 2(lw + lh + wh)

= 2((3)(6) + (3)(4) + (6)(4))

= 2(18 + 12 + 24)

= 2(54)

= 108cm²

hence, The surface area of the rectangular prism is 108cm².

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Answer:JKL

Step-by-step explanation:A 270 degree rotation represents three 90 degree rotations

Rotating ABC by 90 degrees three times places it in the position of JKL

So, the answer is B. JKL

Answer:

0.775

Step-by-step explanation:

is 5he answer

Step by step

Answer:

45

Step-by-step explanation:

angle E is 115

angle C and B 20 degrees

180 - 135= 45

Answer:

234.67 in³

Step-by-step explanation:

volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³

volume of half sphere = 523.33/2 = 261.67 in³

volume of cube = LWH = 3³ = 27 in³

261.67 - 27 = 234.67 in³

Answer:To calculate the standard deviation of those numbers:

1.Work out the Mean (the simple average of the numbers)

2.Then for each number: subtract the Mean and square the result.

3.Then work out the mean of those squared differences.

4.Take the square root of that and we are done!

Step-by-step explanation:

Answer:

[tex]Pr = 0.25[/tex]

Step-by-step explanation:

Given

Two heads ---> 35

Two tails ---> 23

One head, One tail ---> 52

Required

The theoretical probability of 2 heads

When a coin is tossed, the probabilities are:

[tex]P(Head) = 0.5[/tex]

[tex]P(Tail) = 0.5[/tex]

So, the theoretical probability of 2 heads is:

[tex]Pr = P(Head) * P(Head)[/tex]

[tex]Pr = 0.5 *0.5[/tex]

[tex]Pr = 0.25[/tex]

Notice that the given parameters were not used. Using them will only give us the result of the experimental probabilities, because they are recorded from an experiment

Answer:C

Step-by-step explanation:

Answer:

c, becajse thats the one that makes most sence

Step-by-step explanation:

y

Answer:

Step-by-step explanation:

Number of laps run by Runner A = x

Number of laps run by Runner B = y

Runner B ran 6 more than twice as many laps as Runner A.

b = 6 + 2a

Together they ran a total of 30 laps.

a + b = 30

Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.

Part B: How many laps did Runner A run?

a + b = 30

b = 6 + 2a

Hence:

a + 6 + 2a = 30

3a = 30 - 6

3a = 27

a = 27/3

a = 9 laps

Part C: How many laps did Runner B run?

a + b = 30

b = 30 -9

b = 21 laps

Answer:

15/56

Step-by-step explanation:

42*4n=45

4n=45/42

4n=15/14

n=(15/14)/4

n=(15/14)(1/4)

n=15/56

Answer:

Step-by-step explanation:

42 ⋅ 4n = 45

4n= 45/42 = 15/14

n = 15/14/4 = 15/56

Answer:

D)9x-3

Step-by-step explanation:

Perimeter = 2x + 4x - 2 + 3x - 1 ( add all the sides )

Bring the like terms together and simplify.

= 2x + 4x + 3x - 2 - 1

= 9x -3

Answer:

This would equal [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

We do this by just multiplying straight across

Numerators go first

[tex]1*5*4[/tex]

This equals 20

Now the denominators

This would be done by

[tex]8*6*5[/tex]

This equals 240

now all together this is

[tex]\frac{20}{240}[/tex]

Simplify

[tex]\frac{1}{12}[/tex]

Answer:

2

Step-by-step explanation:

Answer:

B. 81 in.²

Step-by-step explanation:

We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.

The area of the original trapezoid is 36 square inches.

Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.

The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.

1.5 × 1.5 = 2.25

Area of new trapezoid: 2.25 × 36 in²

Area of new trapezoid = 81 in²

The area of the enlarged trapezoid would be 81 in² or option B.

Answer:

100. ~113

x ~ 5763(assume that X is price without VAT)

100×5763=113×x

X. =(5763×100)/113. (5763/113=51)

X= 51×100

X =5100

VAT=5763-5100

=RS.663

Given:

Interest rate,

Object price,

The value added tax will be:

→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]

→       [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]

                 [tex]= 663[/tex]

Thus the approach above is right.  

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Answer:

18 Non Foreign Stamps

Step-by-step explanation:

Given data

Total stamps= 150

Foreign Stamps= 88% of the total stamps

Hence the number of foreign stamps is

=88/100*150

=0.88*150

=132 Foreign Stamps

The number of stamps that is Non Foreign Stamps is

=150-132

=18 Non Foreign Stamps

Answer:

RECT and ANGL are similar triangles with a ratio of 9:16, and for TR, we have TR:24 in the ratio 9:16 so TR = 13.5

Hope this helps!

Answer:

a + b

Step-by-step explanation:

sum of two opposite interior angles are equal to one exterior

hope it helps

Answer:

[tex]V=502.5\ cm^3[/tex]

Step-by-step explanation:

The area of the pentagonal base, A = 33.5 cm²

The height of the prsim,h = 15 cm

We need to find the volume of the pentagonal base prism. The formula for the volume of the pentagonal base prism is given by :

[tex]V=A\times h\\\\V=33.5\times 15\\\\V=502.5\ cm^3[/tex]

So, the required volume is [tex]502.5\ cm^3[/tex].

Answer:

5-18 answers below ↓

Step-by-step explanation:

5) 14/2=7

7^2=49

10^2=100

h^2+49=100

-49 -49

h^2=51 h=✓51= 3•17

6) 48/2= 24

24^2=576

44^2=1936

h^2+576=1936

-576 -576

h^2=1360 h=✓1360= 4•340

7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)

576+b^2=1024

-576 -576

b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..

8) 24^2+b^2=45^2

576+b^2=2025

-576 -576

b^2=1449 b=✓1449=9•161 length of 3rd side hypo..

9) 40^2+b^2=85^2

1600+b^2=7225

-1600 -1600

b^2=5625 b^2=✓5625 b=75 length of 3rd side leg

10) 49^2+b^2=168^2

2401+b^2=28,224

-2401 -2401

b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..

11) 72^2+b^2=78^2

5184+b^2=6084

-5184 -5184

b^2=900 b=✓900=30 length of 3rd side leg

12) 7^2+x^2=10^2

49+x^2=100

-49 -49

x=51=3•17

13) 12^2+x^2=28^2

144+x^2=784

-144 -144

x=✓640=4•160

14) 44^2+x^2=52^2

1936+x^2=2704

-1936 -1936

x=✓768=4•192

15) 120^2+h^2=125^2

14,400+h^2=15,625

-14,400 -14,400

h^2=1,225 h=✓1225 h=35

16) might be wrong but worth a try 8+8=16

16^2+x^2=16^2

256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:

Answer:  -10; -2; 0

Step-by-step explanation:

≥ means greater or equal than.

-10 is equal -10, true.

-14 is less than -10, so false.

-2 is greater than -10, true

0 is greater than -10, true

so the answer is -10, -2 and 0 can make this inequality true.