All categories

3 years ago

When a certain number x is multiplied by 3 and then add 4. The result is 19

Mathematics

1 answer:

rewona [7]3 years ago

8 0

Hey there! I'm happy to help!

Here is our equation.

3x+4=19

We subtract 4 from both sides.

3x=15

We divide both sides by 3.

x=5.

Have a wonderful day! :D

You might be interested in

Evaluate the variable expression when a=-4, b=2, c=-3, and d =4. b-3a/bc^2-d

gtnhenbr [62]

Answer:

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

$\dfrac{b-3a}{bc^{2}-d}=1$

Step-by-step explanation:

Evaluate:

$\dfrac{b-3a}{bc^{2}-d}$

When a=-4, b=2, c=-3, and d =4

Solution:

Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get

$\dfrac{b-3a}{bc^{2}-d}=\dfrac{2-3(-4)}{2(-3)^{2}-4}\\\\=\dfrac{2+12}{18-4}\\\\$

$\dfrac{b-3a}{bc^{2}-d}=\dfrac{14}{14}=1$

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

$\dfrac{b-3a}{bc^{2}-d}=1$

6 0

3 years ago

19,000 for 2 months money earns 5%

kumpel [21]

Answer:

950 dollars

Step-by-step explanation:

3 0

3 years ago

A pitcher could hold 2/12 of a gallon of water. If Roger filled up 9 pitchers, how much water would he have?

VashaNatasha [74]

1.5 because 2/12=1/6 9 x (1/6) =1.5 gallons of water.

6 0

3 years ago

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 9090% of all males. (Accommodating 1

Molodets [167]

Answer:

Hip breadths less than or equal to 16.1 in. includes 90% of the males.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14.5

Standard Deviation, σ = 1.2

We are given that the distribution of hip breadths is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 14.5}{1.2})=0.10$

$= 1 -P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.10$

$=P( z \leq \displaystyle\frac{x - 14.5}{1.2})=0.90$

Calculation the value from standard normal z table, we have,

$P(z < 1.282) = 0.90$

$\displaystyle\frac{x - 14.5}{1.2} = 1.282\\x = 16.0384 \approx 16.1$

Hence, hip breadth of 16.1 in. separates the smallest 90% from the largest 10%.

That is hip breaths greater than 16.1 in. lies in the larger 10%.

4 0

3 years ago

Jackson purchased some power tools totaling $1,543 using a six month deferred payment plan with an interest rate of 23.76%. He d

skad [1K]

Suppose he makes the payment with two equal annual instalments, the present value of the amount he is owing is $1,543 , the interest rate is 23.76% = 0.2376.

The amount of payment he makes in two of the periodic payments is given by:

$PV = P\left( \frac{1-(1+r)^{-n}}{r} \right) \\ \\ \Rightarrow1,543=P\left( \frac{1-(1+0.2376)^{-2}}{0.2376} \right) \\ \\ =P\left( \frac{1-(1.2376)^{-2}}{0.2376} \right)=P\left( \frac{1-0.6529}{0.2376} \right) \\ \\ =P\left( \frac{0.3471}{0.2376} \right)=1.4609P \\ \\ \Rightarrow P= \frac{1,543}{1.4609} =1,056.20$

Therefore, in 2 years, the amount he has paid for the tools is 2(1,056.20) = 2,112.40

4 0

3 years ago