28.08.2022

3 ( - 5 - 8g ) + 4 = 61

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09.07.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Specialist

g=-3

Step-by-step explanation:

3\left(-5-8g\right)+4=61

\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}

3\left(-5-8g\right)+4-4=61-4

\mathrm{Simplify}

3\left(-5-8g\right)=57

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3\left(-5-8g\right)}{3}=\frac{57}{3}

\mathrm{Simplify}

-5-8g=19

\mathrm{Add\:}5\mathrm{\:to\:both\:sides}

-5-8g+5=19+5

\mathrm{Simplify}

-8g=24

\mathrm{Divide\:both\:sides\:by\:}-8

\frac{-8g}{-8}=\frac{24}{-8}

\mathrm{Simplify}

g=-3

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
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P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics
Step-by-step answer
P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Mathematics
Step-by-step answer
P Answered by PhD

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%

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