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bezimeni [28]
3 years ago
13

Evaluate 8p +3q-188p+3q−188, p, plus, 3, q, minus, 18 when p=\dfrac12p= 2 1 ​ p, equals, start fraction, 1, divided by, 2, end f

raction and q=7q=7q, equals, 7.
Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Given:

The expression is

8p+3q-18

To find:

The value of the expression when p=\dfrac{1}{2} and q=7.

Solution:

We have,

8p+3q-18

Putting p=\dfrac{1}{2} and q=7, we get

8(\dfrac{1}{2})+3(7)-18

=4+21-18

=7

Therefore, the value of the expression is 7 when p=\dfrac{1}{2} and q=7.

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A soccer team has 15 players and needs to choose a captain and an assistant captain. How many ways can those positions be select
Molodets [167]

Answer:

30?

Step-by-step explanation:

I think its 30 because 15*2 is 30 but I really don't know im sorry

3 0
3 years ago
45% of 81.2 is a number between.....
Misha Larkins [42]
36.54
45% of 81.2 is 36.54.
3 0
3 years ago
Which point lies on a circle with a radius of 5 units and center at P(6,1)?
ryzh [129]

Answer:

Option B. R(2,4)

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

(x-6)^{2}+(y-1)^{2}=5^{2}

(x-6)^{2}+(y-1)^{2}=25

step 2

Verify each case

case A) Q(1, 11)

substitute the value of x=1, y=11 in the equation of the circle and then compare the results

(1-6)^{2}+(11-1)^{2}=25

25+100=25 ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) R(2,4)

substitute the value of x=2, y=4 in the equation of the circle and then compare the results

(2-6)^{2}+(4-1)^{2}=25

16+9=25 ------> is true

therefore

the ordered pair R lie on the circle

case C) S(4,-4)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(4-6)^{2}+(-4-1)^{2}=25

4+25=25 ------> is not true

therefore

the ordered pair S not lie on the circle

case D) T(9,-2)

substitute the value of x=4, y=-4 in the equation of the circle and then compare the results

(9-6)^{2}+(-2-1)^{2}=25

9+9=25 ------> is not true

therefore

the ordered pair T not lie on the circle

7 0
3 years ago
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
galben [10]

Answer:

second equation

Step-by-step explanation:

10a + 12p = 70  (10 goes with almonds [a], 12 goes with pistachios[p], $10 and $12 is price per pound and $70 is total price, so that's why its = to 70)

a + p = 6.3        (this is total almonds and pistachios adding up to 6.3 pounds)

a = pounds of almonds

p = pounds of pistachios

3 0
3 years ago
Factor completely. x 3 + 6x 2 - 4x - 24
Ulleksa [173]
You can factor (x^3 and 6x^2) and (-4x and -24).

So x^2(x+6) - 4(x+6)

(x^2-4)(x+6)

(x-2)(x+2)(x+6)
5 0
3 years ago
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