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pishuonlain [190]

2 years ago

9

Suppose that at the original income of $30 the price of a loaf of bread increased to $3.00 and the price of a jar of peanut butt

er decreased to $2. dusty can buy a maximum of _____ loaves of bread or a maximum of _____ jars of peanut butter.

1 answer:

myrzilka [38]2 years ago

5 0

Im assuming that dusty has 30$ right now

he can buy 10 loaves of bread max, or he can buy 15 jars of pb.

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Setler79 [48]

A waterfall has a height of 1400 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height, h, of the pebble after t seconds is given by the equation h equals negative 16 t squared plus 16 t plus 1400

h=−16t2+16t+1400. How long after the pebble is thrown will it hit the ground?

Answer

The pebble hits the ground after 9.8675 s

Step-by-step explanation:

Given

waterfall height = 1400 feet

initial velocity = 16 feet per second

The height, h, of the pebble after t seconds is given by the equation.

$h(t) = -16t^{2}+16t+1400$

The pebble hits the ground when $h = 0$

$h=-16t^{2}+16t+1400$ ---------------(1)

put $h=0$ in equation (1)

$0=-16t^{2}+16t+1400$

$-16t^{2}+16t+1400=0$

Divide by -4 to simplify this equation

$4t^{2}-4t-350=0$

using the Quadratic Formula where

a = 4, b = -4, and c = -350

$t=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}$

$t=\frac{-(-4)\pm\sqrt{(-4)^{2}-4(4)(-350) } }{2(4)}$

$t=\frac{4\pm\sqrt{16-(-5600) } }{8}$

$t=\frac{4\pm\sqrt{16+5600 } }{8}$

$t=\frac{4\pm\sqrt{16+5616 } }{8}$

The discriminant $b^{2}-4ac>0$

so, there are two real roots.

$t=\frac{4\pm12\sqrt{39 } }{8}$

$t=\frac{4}{8}\pm\frac{12\sqrt{39 }}{8}$

$t=\frac{1}{2}\pm\frac{3\sqrt{39 }}{2}$

Use the positive square root to get a positive time.

$t=9.8675 s$

The pebble hits the ground after 9.8675 second

7 0

2 years ago

Find the sum of 5x + 20 and the opposite of 20. Write an equivalent expression in standard form. Do not include any spaces in yo

ohaa [14]

Answer:

5x

Step-by-step explanation:

add -20 to 20 =0

then your have 5x=0

the equation 5x+20-20=5x

8 0

2 years ago

D-c/pie solve for pie

ValentinkaMS [17]

With a little algebraic manipulation we can solve for pi...

d-c / pi

we want to get pi by itself so first we multiply both sides by pi to get it out of the denominator...

pi × (d-c) = pi / pi
pi × (d-c) = 1

Now get pi by itself by dividing both sides by d-c...

pi × (d-c) / d-c = 1 / d-c

simplify

pi × 1 = 1 / d-c
pi = 1 / d-c

Done!

6 0

2 years ago

On Monday, the lake's water level was 38 inches deep. On Tuesday, the water level changed 6 inches. Using integers, explain two

Tomtit [17]

Answer:

44 inches

32 inches

Step-by-step explanation:

Given that :

Depth of water level on Monday = 38 inches deep

Change in depth of water level on Tuesday = 6 inches

Two ways water level could have changed :

Water level could have ehave risen by 6 inches on Tuesday to give a depth of:

Initial depth + change in depth = (38 + 6) inches = 44 inches

Or

Water level could have fallen by 6 inches on Tuesday to give a depth of :

(initial depth + depth change) = (38 - 6) inches = 32 inches

3 0

2 years ago

Need help in math

zhuklara [117]

When you change a slope from positive to negative, it flips because it goes from being an increasing slope to a decreasing slope. negative slopes decrease as they move from left to right; positive slopes increase from left to right. in the case of y = x, which is line directly through the origin, this line is steadily increasing from the bottom left corner to the top of the right corner of a graph. when you change the slope from 1 to -1, the graph instead declines from the top left to the bottom right.

5 0

2 years ago