V = 1/3Bh<br> Solve <br> for b

Adam and his children went into a movie theater and he bought $76 worth of drinks and candies. Each drink costs $6 and each cand

lozanna [386]

Answer:

The answer to your question is: 8 drinks and 7 candies.

Step-by-step explanation:

Data

Adam bought $76

Drinks cost = $6

Candy cost = $4

Total objects cost = 15

drinks = ?

candies = ?

Process

1.- Asign letters to each object

candies = c

drinks = d

2.- Write equations with the data given

c + d = 15

6d + 4c = 76

3.- Solve the system equations by elimination

-4c -4d = -60

4c + 6d = 76

0 + 2 d = 16

d = 16/2

d = 8

4c + 6(8) = 76

4c + 48 = 76

4c = 76 - 48

4c = 28

c = 28/4

c = 7

Adam bought 8 drinks and 7 candies.

3 0

3 years ago

Katalin drove 180 miles on her vacation. She drove an average of 1.5 times faster on the second 90 miles of her trip than she di

SpyIntel [72]

Answer: A) $\frac{150}{x}$

Step-by-step explanation:

We know that $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

Let x be her speed on the first half of the trip.

Then for first half , the time taken by her is given by :_

$t_1=\frac{90}{x}$

For second half , the time taken by her is given by :_

$t_2=\frac{90}{1.5x}\\\\\Rightarrow\ t_2=\frac{60}{x}$

Now, the total time taken by her is given by :_

$t=t_1+t_2\\\\\Rightarrow t=\frac{90}{x}+\frac{60}{x}\\\\\Rightarrow t=\frac{90+60}{x}\\\\\Rightarrow t=\frac{150}{x}$

Hence, the expression represents the time she spent driving is $\frac{150}{x}$

3 0

3 years ago

Read 2 more answers

Which of the following is a like radical to 3/6x2?<br> PLEASE HURRYYYT

ivann1987 [24]

Answer:

The answer is 4(³√6x²)

5 0

3 years ago

5 pounds equals how many ounces

Nataly [62]

There are 16 per pound so 16*5= 80. there are 80 ounces in 5lbs.

4 0

3 years ago

The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During w

egoroff_w [7]

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

$h(x) = 15$

Substitute the value of h(x) in the equation,

$\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0$

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

$\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45$

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

brainly.com/question/17177510

7 0

3 years ago

V = 1/3Bh Solve for b