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Andrei [34K]
3 years ago
11

How do you solve 3x-100=1x+50

Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:75

Step-by-step explanation:First isolate x by getting rid of the 100 so the equation becomes 3x=x +150 then you subtract x From both sides so it’s 2x=150 then divide by two on both sides so you get X = 75

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Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, t
hoa [83]

Answer:

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

Step-by-step explanation:

Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.

Together, the classes sold 60 items, so

x + y = 60

Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.

Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.

Together, the classes  earned $88.20 for their school, so

1.55x + 1.40y = 88.20.

You get the system of two equations:

\left\{\begin{array}{l}x+y=60\\ \\1.55x+1.40y=88.20\end{array}\right.

From the first equation:

x=60-y

Substitute it into the second equation:

1.55(60-y)+1.40y=88.20\\ \\93-1.55y+1.4y=88.2\\ \\-0.15y=88.2-93\\ \\-0.15y=-4.8\\ \\0.15y=4.8\\ \\15y=480\\ \\y=32\\ \\x=60-32=28

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

8 0
3 years ago
Help with 3 and only 3 pls
Gelneren [198K]
No. Mina put the whole number 10 over one of the fractions when she should have put it over 1
5 0
3 years ago
Read 2 more answers
Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account af
madreJ [45]

Answer:

A = $ 4188.38

Step-by-step explanation:

A= $2500

r = 3.5% = 0.035

t = 15years

n = 1

     A = P(1 + r)^t

        = 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38

7 0
3 years ago
Plz help! Number 6 please!
Pavlova-9 [17]

Answer:

The last 2 statements are true

Step-by-step explanation:

given f(x) = x² + 6x and g(x) = 2x³

f(x) × g(x) = 2x³(x² + 6x) = 2x^{5} + 12x^{4}

not 2x^{5} + 12x³

f(0) = 0 + 0 = 0 and g(2) = 2 × 2³ = 2 × 8 = 16

f(0 × g(0) = 0 × 16 = 0 ≠ 16

f(1) = 1 + 6 = 7 and g(1) = 2 × 1³ = 2

f(1) × g(1) = 7 × 2 = 14 ← True

g(x) × g(x) = 2x³ × 2x³ = 4x^{(3+3)} = 4x^{6} ← True

5 0
4 years ago
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Find the equation of the line in standard form containing a point P(-3, 3) and a slope m = -4/3
Ghella [55]

Answer:

4x+3y+3=0

Step-by-step explanation:

Equation of a line containing a point (x1,y1),

and a slope m is given by,

(y-y1)=m(x-x1)

Here, x1= -3 , y1= 3 , m= -4/3

Putting the values,

(y-3)=-4/3(x+3)

or,3(y-3)=-4(x+3)

or,3y-9=-4x-12

or,4x+3y+3=0 , is the required equation.

6 0
3 years ago
Read 2 more answers
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