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3 years ago

100 points. solve the equation and check the solution

1 answer:

jeka943 years ago

3 0

$a)\\a+2.4=7.8\\a=7.8-2.4\\a=5.4\\\\b)\\b-\dfrac{1}{4} =3\dfrac{1}{2} \\b-0.25=3.5\\b=3.5+0.25\\b=3.75=3\dfrac{3}{4} \\\\c)\\\dfrac{1}{3} s=\dfrac{1}{5} \\s=\dfrac{1}{5}\div\dfrac{1}{3}\\s=\dfrac{1}{5}\times3\\s=\dfrac{3}{5} \\\\d)\\3x=27\\x=27\div3\\x=9\\\\e)\\\dfrac{t}{4} =16|\times4\\t=64\\\\f)\\\dfrac{w}{7} =0.3|\times7\\w=2.1$

Check:

$a)\\5.4+2.4=7.8\\correct\\\\b)\\3\dfrac{3}{4}-\dfrac{1}{4} -3\dfrac{2}{4}=3\dfrac{1}{2}\\correct\\\\c)\\\dfrac{1}{3} \times \dfrac{3}5=\dfrac1{5}\\correct\\\\d)\\3\times9=27\\correct\\\\e)\\\dfrac{64}{4} =16\\corect\\\\f)\\\dfrac{2.1}{7} =0.3\\correct$

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∠3 and ∠6 are alternate interior angles. If m∠3 = 75, what is the measure of ∠6

sp2606 [1]

Answer:

Step-by-step explanation:

First you must understand that in geometry, the alternate interior angles are equal

Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6

Given that m<3 = 75 degrees

m<6 will also be 75 degrees since both angles are equal

7 0

2 years ago

2t + t =68 a. find t b. fint 2t

balandron [24]

Answer:

t = 22 $\frac{2}{3}$

2t = 45 $\frac{1}{3}$

Step-by-step explanation:

3t = 68

t = 68/3

4 0

3 years ago

The function, p(d)equals=1plus+startfraction d over 33 endfraction d 33, gives the pressure, in atmospheres (atm), at a dep

Gelneren [198K]

Answer:

The pressure at 50 feet is 2.51515 atm

Step-by-step explanation:

we are given equation as

$p(d)=1+\frac{d}{33}$

where

p(d) gives the pressure, in atmospheres (atm)

a depth d in the sea (d is in feet)

We are given

d=50 feet

So, we can plug d=50 and find p

$p(50)=1+\frac{50}{33}$

$p(50)=2.51515atm$

So,

The pressure at 50 feet is 2.51515 atm

7 0

3 years ago

Read 2 more answers

$800 is invested at a rate of 7%. What will be the total amount of the investment after 3 1/2 years?

torisob [31]

Answer:

A = $996.00

Step-by-step explanation:

(I = A - P = $196.00)

Equation:

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

r = Rate of Interest per year in decimal; r = R/100

R = Rate of Interest per year as a percent; R = r * 100

t = Time Period involved in months or years

From the base formula, A = P(1 + rt) derived from A = P + I and I = Prt so A = P + I = P + Prt = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 800(1 + (0.07 × 3.5)) = 996

A = $996.00

The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 7% per year for 3.5 years is $996.00.

4 0

3 years ago

consider this quadratic equation x2+2x+7=21 the nuber of positive solutions to this equation are blank. the approximate value of

S_A_V [24]

Answer:

x²+2x+7-21=0

 x²+2x-14. =0

 x²+2x. =14

 x²+2x+1. =14+1

 (X+1)². =15

 X+1. =+/-√15

 X=-1+/-√15

X=-1+3.872983346207

 =2.872983346207(greatest solution) round it as possible

X=-1-3.872983346207

 =-4.872983346207

6 0

3 years ago