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shtirl [24]
2 years ago
5

Solve for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x .

Mathematics
1 answer:
77julia77 [94]2 years ago
6 0
There is one<span> last step after getting </span>x<span> = </span>3<span>. You must check </span>x<span> = </span>3<span> in the original equation to be sure that </span>x<span> = </span>3<span> does not cause a zero denominator.</span>
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In ΔEFG, the measure of ∠G=90°, GF = 33, FE = 65, and EG = 56. What ratio represents the sine of ∠F?
gizmo_the_mogwai [7]
<h3>Answer:  56/65</h3>

Work Shown:

sin(angle) = opposite/hypotenuse

sin(F) = EG/FE

sin(F) = 56/65

Refer to the diagram below.

5 0
2 years ago
John's commute to work is 20kmhr while Sheri's commute is 500mmin. Who has the fastest commute to work in mihrif 1.61km=1mi? A S
Andreyy89

Answer:

A) Sheri has the faster commute by 6.2 miles/hr.

Step-by-step explanation:

Given

John's commute to work =20\ km/hr

Sheri's commute to work  =500\ m/min

1.61\ km = 1\ mile

John's commute to work in miles per hour = \frac{20\ km}{1 hr}\times \frac{1\ mile}{1.61\ km}= 12.42\ miles/hr

Sheri's commute to work in miles per hour =\frac{500\ m}{1\ min}\times \frac{1\ km}{1000\ m}\times \frac{1\ mile}{1.61\ km}\times \frac{60\ min}{1\ hr}= 18.63\ miles/ hr

We can see that Sheri has a faster commute.

Difference between the rates =18.63\ miles/ hr-12.42\ miles/hr=6.21\ miles/hr\approx 6.2\ miles/hr

∴ Sheri has the faster commute by 6.2 miles/hr.

3 0
2 years ago
Ribbon is only sold by the spool. A spool contains 25 yards of ribbon. Shannon needs 58 yards of ribbon to wrap all the presents
ella [17]

Answer:

\boxed{\text{3 spools}}

Step-by-step explanation:

\text{1 spool =25 yd}\\\text{Spools needed } = \text{58 yd} \times \dfrac{\text{1 spool}}{\text{25 yd}} = \text{2.32 spools}\\\\\text{However, Shannon can't buy part of a spool. She must $\textbf{round up}$ to the next integer.}\\\text{Shannon must buy $\boxed{\textbf{3 spools}}$ of ribbon}

6 0
2 years ago
Read 2 more answers
Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year
11111nata11111 [884]
Assuming that the 1.5% annual interest is split into monthly basis with the same amount, then the monthly interest should be: 1.5%/12= 0.125%.
If you put $1000 for annual interest, the saving account would become: $1000*(100%+1.5%)= $1015

If you put $1000 for monthly interest, the saving account would become: ($1000*(100%+0.125%)= $1000*1.0151035559= $1015.10

Then, the money difference should be:  $1015.10-$1015= $0.10
8 0
2 years ago
Each function below describes how something changes. Use the description to determine which function(s) describe exponential gro
cestrela7 [59]

Answer: E. The population decreased by 11% each year.

Step-by-step explanation: In A, the pollution increases at a constant rate, but in a linear way, in other words in each day, the pollution increases 10 grams; The same goes for C: ice "grows" a few milimeters each day; In D, as volume is calculated by the multiplication of π and its radius, the increase in the volume is still linear. In B, the proportionality is related to the power of the turbine not the growth or decay of it. In E, a population grows or decreases in a form of A=A₀(1±r)^t. In this case: A = A₀ (1-0.11)^t.

In conclusion, the function that better describes an exponential growth or decay is the decrease of a population.

6 0
2 years ago
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