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Snezhnost [94]
3 years ago
8

The product of 3 and a number increased by 8 is 31

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

7.67

Step-by-step explanation:

3x+8=31

    -8  -8

3x=23

/3   /3

x=7.67

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Solve the equations in two different ways:6p=0.6(5p+15)
Damm [24]

Answer:

Step-by-step explanation:

1st way:

Solve directly

6p=0.6(5p+15)

Open bracket

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

2nd way:

6p=0.6(5p+15)

Convert the decimal to fraction

6p= 6/10(5p+15)

6p= 3/5(5p+15)

6p= 3/5(5p) +3/5(15)

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

6 0
4 years ago
Solve 3(x - 4) = 11x
Ivanshal [37]

Answer:

x = \frac{-3}{2}

Step-by-step explanation:

3(x - 4) = 11x

Expand the brackets:

3x - 12 = 11x

Subtract 3x from both sides to isolate the -12:

3x - 12 = 11x

3x - 3x - 12 = 11x - 3x

-12 = 8x

8x = -12

Divide both sides by 8:

\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\

Simplify fraction:

x = \frac{-12}{8}

x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}

Hope this helps!

7 0
3 years ago
N°1. (1+1)x1-1 <br>N°2. (2+2)x 2-6​
Sveta_85 [38]

Step-by-step explanation:

do () first

2*1-1

then multiplication

2-1

then subtraction

=1

same reason as above

4 *2 -6

8-6

=2

8 0
3 years ago
Which pair of triangles MUST be similar?
Dvinal [7]

Answer:

C

Step-by-step explanation:

The total measurement of a triangle is 180

Triangle 7 has a 40 degree angle and 35 degree angle.

40+35=75

180-75=105

Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8

8 0
3 years ago
Arley’s Bakery makes fat-free cookies that cost $1.50 each. Arley expects 30% of the cookies to fall apart and break. Assume tha
nata0808 [166]

Answer:

Arley should charge $2.25 for each unbroken cookie.

Step-by-step explanation:

1. This problem has a lot of information to take in. To make things easier, it's vital to condense the problem into the most vital information.

Normal Price (x) = $1.50

Markup = %50 (1.5)

Total Price = 1.5x

Note that the amount of cookies produced and the amount charged for the broken cookie was not written in this condensed format.

The question was only: What <u>price</u> should Arley charge for each <u>unbroken cookie?</u>

Neither the cookies produced or the amount charged were part of the question. In this case, the other information is simply there as a filler.

2. With the information given, a simple formula should be created to find the total price.

The formula for this problem is: 1.5x

As stated above, 1.5 represents the 50% markup while the variable (x) represents the normal price.

When 1.5*1.5 is solved, it comes out to $2.25 dollars.

3. The answer is $2.25 dollars for each unbroken cookie.

4 0
4 years ago
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