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8090 [49]
3 years ago
14

5(x+4) - 13 = 2x + 19 Solve for x

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
4 0

Answer:

x=4

Step-by-step explanation:

5x+20-13=2x+19

3x+20-13=19

3x+7=19

3x=12

x=4

rusak2 [61]3 years ago
3 0
I don’t like typing so I did the work and took a picture :)

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The area of a rectangle is greater than or equal to 115 square cm. The width of the rectangle is 5 cm and the Length of the rect
sattari [20]
Area= length*width
115= x * 5
115/5 = x
23 = x
So the length will be 23 cm.
4 0
3 years ago
A positive integer from one to six is to be chosen by casting a die. Thus the elements c of the sample space C are 1, 2, 3, 4, 5
Alex_Xolod [135]

Answer with Step-by-step explanation:

We are given that six integers 1,2,3,4,5 and 6.

We are given that sample space

C={1,2,3,4,5,6}

Probability of each element=\frac{1}{6}

We have to find that P(C_1),P(C_2),P(C_1\cap C_2) \;and\; P(C_1\cup C_2)

Total number of elements=6

C_1={1,2,3,4}

Number of elements in C_1=4

P(E)=\frac{number\;of\;favorable \;cases}{Total;number \;of\;cases}

Using the formula

P(C_1)=\frac{4}{6}=\frac{2}{3}

C_2={3,4,5,6}

Number of elements in C_2=4

P(C_2)=\frac{4}{6}=\frac{2}{3}

C_1\cap C_2={3,4}

Number of elements in (C_1\cap C_2)=2

P(C_1\cap C_2)=\frac{2}{6}=\frac{1}{3}

C_1\cup C_2={1,2,3,4,5,6}

P(C_1\cup C_2)=\frac{6}{6}=1

4 0
3 years ago
you are taking a test worth 130 points. There are a total of 50 five-point and two-point questions. How many five-point question
REY [17]

Answer:

10 five-point questions and 40 two-point questions

Step-by-step explanation:

Let x represent the total number of five-point questions and y represent the total number of two-point questions.

Equation 1:     5x+2y=130

Equation 2:     x+y=50

Multiplying Equation 2 by 2:     2x+2y=100     (Equation 3)

(Equation 1) - (Equation 3):     3x=30

                                                  x=10

Substituting x=10 into x+y=50:     10+y=50

                                                            y=40

Therefore, there are 10 five-point questions and 40 two-point questions.


<h2><u>Check</u></h2>

Substituting x=10 and y=40 into Equation 1:

LHS=5x+2y=5(10)+2(40)=50+80=130

RHS=130

LHS=RHS

Substituting x=10 and y=40 into Equation 2:

LHS=x+y=10+40=50

RHS=50

LHS=RHS

Since in both cases the left-hand side is equal to the right-hand side, the answer is correct.

(LHS: left-hand side, RHS: right-hand side)

6 0
4 years ago
Please help!! Thank you if you do!!
expeople1 [14]
I think it is BD but I’m not 100% sure
6 0
3 years ago
Find the interest earned on an investment with a principal = $850, interest rate = 12% per year, and time = 6 months.
Aloiza [94]
12% per year means 6% every6 months
so do 850 × 0.06= 51USD
3 0
4 years ago
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