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kondor19780726 [428]
3 years ago
12

-1/3x<48 solve this inequality

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0
-1/3x < 48

Divide each side by -1/3. When you divide by a negative the sign flips...

x > 48 ÷ -1/3

divide fractions by multiplying the reciprocal of the divisor

x > 48 × -3
x > -144
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the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times t
inysia [295]
\left \{ {{7*x - 3*y=25} \atop {2*x + 5*y=95}} \right.

\left \{ {{7x - 3y=25}(I) \atop {2x + 5y=95}(II)} \right.

\left \{ {{7x - 3y=25}simplify*(5) \atop {2x + 5y=95}simplify*(3)} \right.

\left \{ {{35x - \diagup\!\!\!\! 15 y=125} \atop {6x + \diagup\!\!\!\! 15y=285}} \right.

\left \{ {{35x =125} \atop {6x =285}} \right.

41x = 410

\boxed{x=10}

<span>Replace the value of "x" in the second equation (II) to find the value of "y", thus:
</span>2x + 5y=95
2*(10)+5y = 95
20+5y=95
5y=95-20
5y=75
y =  \frac{75}{5}
\boxed{y=15}


The numbers (10,15)

5 0
3 years ago
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest
Nostrana [21]

The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

<h3>What is monthly payment?</h3>

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)

Here, (<em>P</em>) is the principal amount, (<em>r</em>) is the interest rate and (<em>t</em>) is time.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.

The table below shows the information about the two credit cards Brandon currently uses.    

  • Cards                Amount              APR             Monthly Payment
  • Card a               $1,463.82              13%                 $24.60
  • Card b               $1,157.98               17%                 $22.14

               

Interest rate for the card a is,

r=\dfrac{13}{12\times100}=0.01083

The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,

M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47

In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,

P_a=19.47\times96=1869.12

For the card B the monthly payment is $22.14. Thus the total payment by card B is,

P_b=22.14\times96=2125.44

The difference in the payment is,

d=2125.44-1869.12\\d=256.12

Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

Learn more about the monthly payment here;

brainly.com/question/2151013

6 0
2 years ago
-5n-8(1+7n)=-8<br> Solve this equation
Arisa [49]

Answer:

it's 0

Step-by-step explanation:

5 0
2 years ago
Latoya used 4 gallons of ginger ale, 1 gallon of orange juice, and 1 gallon of pineapple juice to make punch for her brother's b
Shkiper50 [21]

Answer: 96 cups

Step-by-step explanation: A gallon  holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces

A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups

8 0
2 years ago
Read 2 more answers
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35? A. 72.5° B. 9
Kruka [31]
A) Minute Hand:
in 1 hour (= 60 minute) the minute hand travels 360 °
So in each minute, the minute hand travels 360/60 = 6°
And in x minute it will travel x.(6°)

B) Hour Hand:
in 1 hour (= 60 minute) the hour hand travels 360/12 = 30°
So in each minute, the hour hand will travel 30°/60° = 0.5°
And in x minute it will travel x.(0.5°)

ANGLE AT 4:35?

At 4:00, angle = 4. 30 = 120°
After 35 minutes, the minute hand strops at 35.(6°) = 210°, but during this 35 minute, the hour hand traveled 35.(0.5) = 17.5°, on top of its 120°, that makes an angle of 137.5°

So at 4:35 the angle between the hour & minute hand = 210°-137.5° =72.5°

Answer A


8 0
3 years ago
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