Identify two numbers that have a product of -64 and a sum of 0.

the produce department of a grocery store sold 288 pounds of tomatoes. the weight represented 72% of the shipment the store rece

Shtirlitz [24]

207.4 pounds originally was received

3 0

3 years ago

A new museum had 7500 vistiors this year.the number of visitors is expected to grow by 5% each year. How many vistiors will be i

Bumek [7]

Answer:

9572 visitors

Step-by-step explanation:

This is exponential: y=ab $y=ab^x$

a = initial value

b = growth rate

It will grow by 5% each year but also keep the same amount as last year (100% of last year's visitors)

a = 7500

b = 1.05

$y = 7500(1.05)^x$

Plug in x=5

9572.111719 = 9572 visitors

8 0

3 years ago

Which sentence best describes the independent and dependent variables in the following problem? The parking garage charges $3 fo

alexandr402 [8]

Ok so the dependent variable would be $1.45 for each addition hour. The cost depends on every hour so u can't really calculate it unless u have the hours.
$3 is independent since it's only charged on the first hour. It doesn't rely on any other information.

7 0

2 years ago

Abdul's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Abdul's tank hold?

eduard

Answer: 14 gallons

Step-by-step explanation:

Let's call the total gallons of gas Abdul's tank can hold x.

Then, based on the information given in the problem, you can write the following expression:

$\frac{1}{5}x+7=\frac{7}{10}x$

Therefore, when you solve for x, you obtain the following result:

$\frac{1}{5}x+7=\frac{7}{10}x\\\\\frac{1}{5}x-\frac{7}{10}x=-7\\\\-\frac{1}{2}x=-7\\\\-x=(-7)(2)\\x=14$

4 0

3 years ago

Plz help I have no idea how to answer it

saveliy_v [14]

5. Answer: see explanation

Step-by-step explanation:

If the roots are m and 3m, then x = m and x = 3m

⇒ x - m = 0 and x - 3m = 0

⇒ (x - m)(x - 3m) = 0

⇒ x² - 4mx + 3m² = 0

Since x² + px + q = 0 then p = -4m and q = 3m²

3p² = 3(-4m)² 16q = 16(3m²)

= 3(16m²) = 48m²

= 48m²

3p² = 48m² = 16q ⇒ 3p² = 16q

**********************************************************************************************

6. Answer: 8 or 18

Step-by-step explanation:

The Area of the entire rectangle (A = L × w) is 12 × 10 = 120

The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.

There are two non-shaded triangles.

Bigger non-shaded Δ: L = 12-x, w = 10 ⇒ $A = \dfrac{10(12-x)}{2}$
Smaller non-shaded Δ: L = x, w = x ⇒ $A=\dfrac{x(x)}{2}$

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

$\dfrac{x(x)}{2}+\dfrac{10(12-x)}{2}=48\\\\\\\dfrac{x^2}{2}+\dfrac{120-10x}{2}=48\\\\\\\dfrac{x^2-10x+120}{2}=48\\\\\\x^2-10x+120=96\\\\x^2-10x+24=0\\\\(x-4)(x-6)=0\\\\x - 4 = 0\quad or\quad x-6=0\\x=4\qquad or\qquad x=6\\\\\text{Based on the image provided, it appears that the x-value will be the}\\\text{smallest of the two possible solutions (4), but both solutions are valid.}$

Area of ΔBEF:

$\text{when x = 4, A =}\ \dfrac{4(4)}{2}=\dfrac{16}{2}=8\\\\\\\text{when x = 6, A =}\ \dfrac{6(6)}{2}=\dfrac{36}{2}=18$

5 0

3 years ago