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3 years ago

Consider the following sets:

Mathematics

1 answer:

cricket20 [7]3 years ago

3 0

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Two quantities, Pand Q, are connected by

frez [133]

Answer:

P = 0.5Q - 20

Step-by-step explanation:

P = kQ + c

substitute Q = 60 , P = 10 into the equation

10 = 60k + c → (1)

substitute Q = 240, P = 100 into the equation

100 = 240k + c → (2)

subtract (1) from (2) term by term to eliminate c

90 = 180k ( divide both sides by 180 )

$\frac{90}{180}$ = $\frac{1}{2}$ = 0.5 = k

substitute k = 0.5 into (1) and solve for c

10 = 60(0.5) + c

10 = 30 + c ( subtract 30 from both sides )

- 20 = c

then

P = 0.5Q - 20

8 0

2 years ago

Adam has 17.45 kg of flour, and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches

olchik [2.2K]

_
0.736 kg in each batch of scones

8 0

3 years ago

A tee-shirt company plans to hand out 1,830 coupons during May. It will hand out

Makovka662 [10]

Answer:

A. O 5

Step-by-step explanation:

1830 ÷ 31 = 59.032258...

The first non-zero digit of the quotient is 5.

6 0

3 years ago

20 points

djverab [1.8K]

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

7 0

3 years ago

Rationalize the denominator: Please give step by step solution

MrMuchimi

Answer:

1 + i

Step-by-step explanation:

To rationalize multiply numerator and denominator by (2 + i )

$\frac{3+i}{2-i}= \frac{3+i}{2-i} \times \frac{2+i}{2+i} = \frac{(3+i)(2+i)}{(2-i)(2+i)} = \frac{6+3i+2i-1}{4-(-1)} = \frac{5+5i}{5} = 1 + i$

5 0

3 years ago