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Amanda [17]
3 years ago
11

Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years?

If x represents Harry's age now, then which of the following equations could be used to solve the problem? 5(7x + 6) = x + 6 7x = 5x + 6 7x + 6 = 5 (x + 6)
Mathematics
2 answers:
Naddik [55]3 years ago
8 0

Answer:

Its D) aka the last option

Step-by-step explanation:

Deffense [45]3 years ago
7 0

Answer:

7x+6 = 5(x+6)

Step-by-step explanation:

x represents Harry's age now, so 7x represents Nick's age now. (Nick is 7 times as old as Harry.)

In 6 years, Harry's age will be x+6.

In 6 years, Nick's age will be 7x+6, which is 5 times Harry's age at that time, 5(x+6). Hence an appropriate equation is ...

... 7x+6 = 5(x+6)

_____

Please note that finding the value of x does not give the answer to the question. We are asked for Harry's age in 6 years, so the answer is x+6 (=18).

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John goes from a sauna at 115 Fahrenheit to an outside temperature of -30 Fahrenheit. What is the change in temperature?
IRINA_888 [86]

Answer: 115 - (-30) = 115 + 30 = 145 degrees change

Step-by-step explanation:

7 0
3 years ago
A manufacturer of matches randomly and independently puts 23 matches in each box of matches produced. The company knows that one
d1i1m1o1n [39]

Answer:

0.9855 or 98.55%.

Step-by-step explanation:

The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:

P(X\leq 1)=P(X=0)+P(X=1)\\P(X\leq 1)=(1-p)^{23}+23*(1-p)^{23-1}*p\\P(X\leq 1)=(1-0.008)^{23}+23*(1-0.008)^{23-1}*0.008\\P(X\leq 1)=0.8313+0.1542\\P(X\leq 1)=0.9855

The probability  that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.

8 0
3 years ago
Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si
kozerog [31]

The ratios of sin x° and cos y° are 15/8.

We have given that,

Use the image below to answer the following question.

We have to determine to find the value of sin x° and cos y°.

By applying Pythagoras theorem in the triangle given in the picture,

<h3>What is the Pythagoras theorem?</h3>

(Hypotenuse)² = (leg 1)² + (leg 2)²

PO² = (15)² + 8²

PO² = 225 + 64

PO = √289

PO = 17

By applying the sine rule in the given triangle,

sin(x°) = Opposie side/hypotenous

         = 15/17

cos(y°) = Adjucent side/hypotenous

          = 8/17

The relation between the ratio of sin(x) and cos(x) will be,

\frac{sinx}{cosx} =\frac{\frac{15}{17} }{\frac{8}{17} }

=\frac{15}{8}

Therefore the ratios of sin x° and cos y° are 15/8.

To learn more about the trigonometric function visit:

brainly.com/question/24349828

#SPJ2

       

5 0
2 years ago
Please help me with my math im tired<br> (ill give u brainliest)
klasskru [66]

Answer:

below given

Step-by-step explanation:

1) yes

2)no

3)no

4)yes

5)no

7 0
2 years ago
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A theater company charges $4.50 per ticket for people of all age groups. If c represents the total number of children who bought
elena55 [62]

Answer:

4.50c

Step-by-step explanation:

3 0
3 years ago
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