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vampirchik [111]
3 years ago
5

Jack spends 15% of his pocket money on sweets and 35% on magazines. He saves the rest

Mathematics
1 answer:
yuradex [85]3 years ago
4 0
He saved 50 percent of his money
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Oints Q and R are midpoints of the sides of triangle ABC.
MariettaO [177]

Answer:

AQ = 20 units

Step-by-step explanation:

Comparing triangle AQR to ABC,

\frac{AQ}{AB} = \frac{QR}{BC}

\frac{4p}{8p} = \frac{2p + 3}{6p-4}

cross multiply and make p the subject of formula, we have:

8p (2p+3) = 4p(6p-4)

16p^{2} + 24p = 24p^{2} - 16p

24p + 16p = 24p^{2} - 16p^{2}

40p = 8p^{2}

divide through by 8p,

p = 5

Therefore, AQ = 4p

                        = 4 × 5

                        = 20

AQ = 20 units

3 0
2 years ago
Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the
MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

\mathbf{I(h) =\frac{12h - h^2}{36}} ---- the function for sun intensity

\mathbf{T(I) =\sqrt{5000I}} -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

\mathbf{h = 2:00pm - 6:00am}

\mathbf{h = 8}

Substitute 8 for h in \mathbf{I(h) =\frac{12h - h^2}{36}}, to calculate the sun intensity

\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}

\mathbf{I(8) =\frac{32}{36}}

\mathbf{I(8) =\frac{8}{9}}

Substitute 8/9 for I in \mathbf{T(I) =\sqrt{5000I}}, to calculate the temperature of the soil

\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}

\mathbf{T(8/9) =\sqrt{4444.44}}

\mathbf{T(8/9) =66.67}

Approximate

\mathbf{T(8/9) =67}

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

5 0
2 years ago
If....................
kobusy [5.1K]

Answer:

C  - 22

Step-by-step explanation:

Put in '3 ' for 'x' in both of the equations....then multiply the results together

f(3)  = 3 (3)^2 - 5 = 22

g(3) =  -1

22 * -1  = -22

5 0
1 year ago
Read 2 more answers
PLZ HURRY carrie is 3 times as old as Eva. in 15 years Carrie will be twice as old as Eva. how old are they both now
astraxan [27]

Answer:

Age of Eva =  15 Years

Age of Carrie = 45 Years

Step-by-step explanation:

Let the age of Eva be X years

Given that Carrie is 3 times as old as Eva

Therefore age of Carrie = 3X YEARS.

__________________________________________________________

After 15 years

Age of Eva = X + 15

Age of Carrie = 3X +15

Given that Carrie is twice as old as Eva

so according to this condition

age of Carrie = 2*Age of Eva

Substituting the age of Eva and Carrie

3X +15 = 2*(X + 15 )

=> 3X +15 = 2X +30

=> 3X - 2X = 30 - 15

=> X = 15

Since X was assumed age of Eva so age of Eva is 15 years

age of Carrie = 3X years = 3*15 = 45 years.

4 0
3 years ago
Trapezoid ABCD and trapezoid JKLM are similar. What side corresponds to side BC? Side LM Side KL Side JK Side KJ
astraxan [27]

Answer: JK

Step-by-step explanation:

3 0
3 years ago
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