All categories

3 years ago

Which mathematical expression means seven more than the product of three and x

Mathematics

1 answer:

vladimir2022 [97]3 years ago

7 0

Answer:

More than means addition and product means multiplication. Therefore, seven more than the product of three and x would mean multiplying 3 and x together then adding 7 to that. Or, 3x + 7.

Step-by-step explanation:

You might be interested in

Solve for x and graph the solution on the number line 15 > 2x – 9 > -23

Monica [59]

The answer is 12>x>-7

Step-by-step explanation:

it's first divided into 2 parts

1 . 15 > 2x - 9

2. 2x - 9 > -23

Then solve them individually.

let's do it,

First half

15 > 2x - 9

15+9 > 2x

24 > 2x

24/2 > x

12>x

Second half

2x-9>-23

2x>-23+9

2x>-14

x>-14/2

x>-7

Joining of the two halves

We have :

12>x>-7

8 0

3 years ago

When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank's capacity. what was th

ki77a [65]

Answer:

Step-by-step explanation:

"When 200 gallons of oil were removed from a tank" algebraically looks like this:

V - 200.

"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:

3/7(V)

Therefore, the equation is

V - 200 = 3/7(V)

Begin by multiplying both sides by 7:

7(V - 200) = 3V and

7V - 1400 = 3V so

-1400 = -4V so

V = 350 gallons

That's if the volume of the oil in the tank was 3/7 of the tank's capacity.

For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:

V - 200 = 1/2(V)

Multiplying both sides by 2 gives you

2(V - 200) = V and

2V - 400 = V so

-400 = -V so

V = 400

7 0

3 years ago

Altitudes AA1 and BB1 are drawn in acute △ABC. Prove that A1C·BC=B1C·AC

Sophie [7]

Answer:

See the attached figure which represents the problem.

As shown, AA₁ and BB₁ are the altitudes in acute △ABC.

△AA₁C is a right triangle at A₁

So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)

△BB₁C is a right triangle at B₁

So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)

From (1) and (2)

∴ A₁C/AC = B₁C/BC

using scissors method

∴ A₁C · BC = B₁C · AC

7 0

3 years ago

In a 3M Privacy Filters poll, 806 adults were asked to identify their favorite seat when they fly, and 492 of them chose a windo

Snowcat [4.5K]

Answer:

Step-by-step explanation:

If majority of adults prefer a window seat when they fly, it means that more than half or more than 0.5 of the population prefer a window seat when they fly.

We would set up the hypothesis test.

For the null hypothesis,

p = 0.45

For the alternative hypothesis,

p > 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 492

n = number of samples = 806

P = 492/806 = 0.61

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.61 - 0.5)/√(0.5 × 0.5)/806 = 6.24

From the normal distribution table, the p value < 0.00001

Since alpha, 0.01 < than the p value, then we would reject the null hypothesis. Therefore, at a 1% significance level, we can conclude that the majority of adults prefer a window seat when they fly.

8 0

3 years ago

Darlene Fine wants to have at least $50,000 in her savings account in 10 years. If her account pays 3.6% interest compounded ann

marshall27 [118]

In this problem the question asked is what principal should be invested on a rate of interest of 3.6% for 10 years to get the totals amount as 50000$
the formula for compound interest is
A=P*(1+R/100)^T
we shall replace the formula
50000=X*(1+3.6/100)^10
50000=x*(100/100+3.6/100)^10
50000=x*(103.6/100)^10
50000=X*(1.036)^10
50000=1.4242x
50000/1.4242=X
35107.42=X
hope u found this useful
feel free to check
pls out this as a brainliest answer please

6 0

3 years ago