Ask question

Ask question

All categories

3 years ago

6

Mr.James bought 3 boxes of pencils for 34.89. Each box of pencils cost the same which equation can be used to find the cost ,c o

f each box

1 answer:

Elina [12.6K]3 years ago

4 0

The answer is number 1
$34.89= 3xc

You might be interested in

IM IN A TEST NOW WILL AWARD BRAINLIEST!!!!!

Oksanka [162]

The product has decreased by 80 %

<em><u>Solution:</u></em>

The product of the original numbers: xy

One number is decreased by 75 %

Let x be the number decreased by 75 %

new number = x - 75 % of x

$new\ number = x - 75 \% \times x\\\\new\ number = x(1-75 \%)\\\\new\ number = x(1-\frac{75}{100}) = x(1-0.75) = 0.25x$

Another number is decreased by 20 %

Let y be the number decreased by 20 %

new number = y - 20 % of y

$new\ number = y - 20 \% y\\\\new\ number = y(1-20 \%)\\\\new\ number = y(1-\frac{20}{100}) = y(1-0.2) = 0.8y$

<em><u>Now the product is given as:</u></em>

$product = 0.25x \times 0.8y = 0.2xy$

<em><u>Now we have to find the percent decreased</u></em>

Subtract new product and original product and then divide by original product . Multiply the result by 100 to get percentage

$percent\ decrease = \frac{0.2xy - xy}{xy} \times 100\\\\percent\ decrease = \frac{-0.8xy}{xy} \times 100 = -0.8 \times 100 = -80$

Here negative sign denotes decrease

Thus the product has decreased by 80 %

3 0

3 years ago

Given that f(x) = 3x + 1 and g(x) = the quantity of 4x plus 2 divided by 3 , solve for g(f(0)). (5 points) 2 6 8 9

leva [86]

$f(0)=3(0)+1$

$f(0)=1$

$g(1)=\frac{4(1)+2}{3}$

$g(1)=\frac{4+2}{3}$

$g(1)=\frac{6}{3}$

$g(1)=2$

Hope this helps.

頑張って!

7 0

3 years ago

A pyramid-shaped vat has square cross-section and stands on its tip. The dimensions at the top are 2 m × 2 m, and the depth is 5

Strike441 [17]

Answer:

the water level increases at a rate of 1.718 m/min when the depth is 4 m

Step-by-step explanation:

the volume of the pyramid is

V = (1/3)(height)(area of base) = 1/3 H*L²

For the diagonal in the pyramid

tg Ф = Side Length/ Height = L / H = x / h

where h= depth of water , x= side of the corresponding cross section

therefore x= L *h/H

the volume of the water is

v= 1/3 h*x² = 1/3 (L/H)² h³

in terms of time

v = Q*t

then

Q*t = 1/3 (L/H)² h³

h³ = 3*(H/L)² *Q *t

h = ∛(3*(H/L)² *Q *t) = ∛(3*(H/L)² *Q) *∛t = k* ∛t , where k=∛(3*(H/L)² *Q)

h = k* ∛t

then the rate of increase in depth is dh/dt

dh/dt = 1/3*k* t^(-2/3)

since

t = (h/k)³

dh/dt = 1/3*k* t^(-2/3) = 1/3*k* (h/k)³ ^(-2/3) = 1/3*k* (h/k)^(-2) = 1/3 k³ / h²

= 1/3 (3*(H/L)²*Q) / h² = (H/L)²*Q /h²

dh/dt= [H/(h*L)]²*Q

replacing values, when h=4m

dh/dt= [H/(h*L)]²*Q = [5m/(4m*2m)]² * (3m³/min)= 1.718 m/min

8 0

3 years ago

What do I do? And what is the answer?

jek_recluse [69]

Hmm, interesting question! You should start like this:

-80% wear seatbelts
-20% don't wear them
-3 drivers were pulled over
What is the chance that they weren't wearing seatbelts?
There should be a 20% chance.

3 0

3 years ago

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain cit

melamori03 [73]

Answer:

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city.

Let the number of dentists prefer Colgate in the city be x

$\frac{4}{20} = \frac{x}{150} \\ x = \frac{4 \times 150}{20} \\ \boxed{x = 30}$

<h3>30 dentists prefer Colgate.</h3>

6 0

3 years ago