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amid [387]
3 years ago
9

If the sum of a number and seven is doubled, the result is four less than the number. Find the number.

Mathematics
2 answers:
wel3 years ago
3 0

Answer: the number is - 18

Step-by-step explanation:

Let the number be represented by x.

If the sum of a number and seven is doubled, the result is four less than the number. The expression would be

2(x + 7) = x - 4

We would open the bracket on the left hand side of the equation by multiplying each term inside the bracket by 2. It becomes

2x + 14 = x - 4

Subtracting 14 and x from the left hand side and the right hand side of the equation, it becomes

2x + 14 - 14 - x =x - x - 4 - 14

x = - 18

MrMuchimi3 years ago
3 0

Answer:

-18

Step-by-step explanation:

Let the number be x.

Double the sum of number and seven is equal to four less than the number.

Expressing it in equation form:

\[2*(x+7)=x-4\]


Simplifying the equation,

\[=> 2x+14=x-4\]


Collecting all terms containing x on one side,

\[=> 2x-x=-14-4\]


\[=> (2-1)x=-18\]


\[=> x=-18\]


Hence the required number is -18

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-x + 4y when x = -4/5 and y = 1/3
Usimov [2.4K]

we have the expression

-x+4y

Evaluate for x=-4/5 and y=1/3

substitute the values of x and y in the given expression

\begin{gathered} -(-\frac{4}{5})+4(\frac{1}{3}) \\ \frac{4}{5}+\frac{4}{3} \\ \frac{3\cdot4+5\cdot4}{15} \\ \frac{32}{15} \end{gathered}

the answer is 32/15

8 0
1 year ago
Michelle pays $66.85 for a costume pattern and 8 yards of fabric. The costume pattern cost $4.85 how much does each yard of fabr
kogti [31]

Answer:

I got $7.75.

Step-by-step explanation:

66.85-4.85=62

62/8=7.75.

7 0
3 years ago
It is known that 10% of the calculators shipped from a particular factory are defective. In a random sample of ten calculators,
umka2103 [35]

Answer:

0.7361

Step-by-step explanation:

In this question we have

number to be 10

Then we have a probability of 10% = 0.10

We have q = 1-p

= 1-0.10 = 0.90

Then the probability of not more than 1 being defective:

P(x=0) + p(x= 1)

(10C0 x 0.1⁰ x 0.9^10-0)+(10C1 x 0.1¹ x 0.9^10-1)

= 1 x1 x0.3487 + 10 x 0.1 x 0.3874

= 0.3487 + 0.3874

= 0.7361

This is the the required probability and this answers the question.

probability = 10 percent = 0.1

q= 1- 10percent = 90% = 0.9

n = 4

To get the required probabiltiy for this question is

P(not greater than one is defective )=P(x=0)+P(x=1)

= 4C0x(0.1)⁰x(0.9)⁴+4C1x(0.1)¹x(0.9)³

= 0.9477

The required probability is 0.9477

5 0
3 years ago
Which of the following statements are true about the function y = 3x?
dolphi86 [110]

Answer:

I believe the answer is The constant of variation is y is 6 when x is 2.

6 0
3 years ago
Jared has a wooden board that is 11 ft long. He wants to cut it into 2 pieces so that the longer piece is 4 ft less than 4 times
Kaylis [27]
X+y=11

x is longer than y
x>y
x is 4 less than 4 times y
x=-4+4y

sub back
x+y=11
-4+4y+y=11
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divide both sides by 5
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sub back
x=-4+4y
x=-4+4(3)
x=-4+12
x=8

the pieces are 8ft and 3ft
4 0
3 years ago
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