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2 years ago

Kong took 15\%15%15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 858585 seconds.

Mathematics

1 answer:

netineya [11]2 years ago

3 0

Answer:

Nolan's time is 100 seconds.

Step-by-step explanation:

Kong took 85 seconds.

Nolan took x seconds.

Kong took 15% fewer seconds than Nolan, so Kong's time is 85% of Nolan's time.

Kong's time is

85% of x or 0.85x

Kong's time is 85 seconds

0.85x = 85

x = 85/0.85

x = 100

Nolan's time is 100 seconds.

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Solve the following system algerbraically: y=-3(x-2) squared+4 y=-6x+16

pishuonlain [190]

$y = - 3(x - 2) ^{2} + 4$
$y = - 6x + 16$
distribute the -3 and the square into the first equation
$y = - 3x ^{2} + 12x - 8$
$y = - 6x + 16$
multiply the second equation by 2
$y = - 3x ^{2} + 12x - 8$
$y = - 12x + 32$
add the equations together
$y = - 3x ^{2} + 24$
factor out -3
$y = - 3(x ^{2} - 8)$
factor inside parenthesis
$y = - 3(x + \sqrt{8} )( x - \sqrt{8})$
refine
$y = - 3(x + 2 \sqrt{2} )(x - 2 \sqrt{2} )$

8 0

2 years ago

Find p and q for which the linear eqn has infinite solutions

jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0

3 years ago

Carl is raising money for his football team. He is selling chocolate bars for $1.50 each and cookies for $2. He sold all 20 of h

stich3 [128]

Answer:

Carl has to sell at least $8$ cookies.

$c\geq 7.5$

Step-by-step explanation:

Carl gets $\$1.50$ by selling 1 chocolate bar.

Earning from chocolate bars:

$Total\ chocolate\ bar=20\\\\Earning\ from\ one\ chocolate\ bar=\$1.50\\\\Total\ earning\ from\ chocolate\ bar=Total\ chocolate\ bar\times cost\ of\ 1\ chocolate\ bar=20\times 1.5=\$30$

Earning From cookies:

$Let\ total\ number\ of\ cookies=c\\\\Cost\ of\ 1\ cookie=\$2\\\\Earning\ from\ cookies=2\times c=2c$

$Total\ earning=Earning\ from\ cookies+Earning\ from\ cookies+Earning\ from\ chocolate\ bars\\\\Total\ earning=30+2c$

Carl wants to raise at least $\$55$

$Total\ earning\geq 55\\\\2c+30\geq 55\\\\2c\geq 55-30\\\\2c\geq 15\\\\c\geq7.5$

7 0

3 years ago

A) 90 clockwise

nydimaria [60]

Answer:

A.) 90 clockwise

E.)270 Counter Clockwise

Step-by-step explanation:

A.) Ro, -90 Rotation about the origin (0,0) 90° clockwise

(x, y) ⇒ (y, -x)

(-1, 5) ⇒ (5, 1)

E.) Ro, 270 Counter Clockwise

(x, y) ⇒ (y, -x)

(-1, 5) ⇒ (5, 1)

6 0

2 years ago

Avery goes out to lunch. The bill, before tax and tip, was $9.80. A sales tax of 6% was added on. Avery tipped 19% on the amount

love history [14]

Answer:

12.36

Step-by-step explanation:

price x sales tax rate =sales tax

9.80 x .06=sales tax

.59=sales tax

price + sales tax=price with sales tax included

9.80+.59=10.39

price with sales tax x tip percentage=tip amount

10.39 x .19=1.97

price with sales tax + tip = total amount

10.39+1.97=12.36

5 0

2 years ago