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yanalaym [24]
3 years ago
10

What is the correct answer for this equation here?3(4x – 7) = 135​

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0

Answer:

x=13

Step-by-step explanation:

1. divide both sides by 3

2. simplify: 4x-7=45

3. add 7 to both sides

4. 4x=52

5. divide both sides by 4

6. x=13

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A student has some​ $1 and​ $5 bills in his wallet. He has a total of 14 bills that are worth ​$34. How many of each type of bil
jeka57 [31]

Solution:

we are given that

A student has some​ $1 and​ $5 bills in his wallet.

Let there x $1 bills and y number of $5 bills.

He has a total of 14 bills that are worth ​$34.

So we can write

x+y=14

x+5y=34

Now solve these two equations together using substitution as follows

14-y+5y=34\\
\\
4y=34-14\\
\\
4y=20\\
\\
y=5\\
\\
x=14-y=14-5=9\\

Hence there are 9 $1 bills and 5 bills are of $5.

5 0
3 years ago
An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the
julia-pushkina [17]

Answer:

The rate of decrease is: 43.2mm^3/min

Step-by-step explanation:

Given

l = 18mm

\frac{dl}{dt} = -0.8mm/min ---- We used minus because the rate is decreasing

Required

Rate of decrease when: l = 18mm

The volume of the cube is:

V = l^3

Differentiate

\frac{dV}{dl} = 3l^2

Make dV the subject

dV = 3l^2 \cdot dl

Divide both sides by dt

\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}

Given that: l = 18mm and \frac{dl}{dt} = -0.8mm/min

\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)

\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min

\frac{dV}{dt} = -43.2mm^3/min

<em>Hence, the rate of decrease is: 43.2mm^3/min</em>

8 0
3 years ago
Find the volume of the cylinder using the given formula
insens350 [35]

Answer:

B. 1469.52 cubic units

Step-by-step explanation:

6 squared is 36, 36 x 13 is 46s, 468 x 3.14(pie) is 1469.52

3 0
3 years ago
a rectangle has a length of 14 meters and a width of 200 centimeters. What is the area of the rectangle in meters?
Alborosie

Answer:

a=28m^2

Step-by-step explanation:

Given:

l=14m

w=200cm

Required

a=?

w in meters

Formula:

1m=100cm

b=200cm---criss cross it

b*100cm/100cm=1m*200cm/100cm

b=2m

a=l*w

a=14m*2m

a=28m^2

4 0
3 years ago
Write an equivalent ratio for 7:8 with 40 as one of the terms.
kvv77 [185]

Answer:

Step-by-step explanation:

Five equivalent ratios:

7:8  = 14:16

      = 21:24

      = 70:80

      = 49:56

      = 35:40

8 0
2 years ago
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