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Ahat [919]
3 years ago
7

Difference of numbers. The larger of two integers is 8 less than twice the smaller. When the smaller number is subtracted from t

he larger, the difference is 17. Find the two numbers.
Mathematics
1 answer:
julsineya [31]3 years ago
8 0
Let's call the numbers x (the bigger) and y (the smaller)

The larger of two integers is 8 less than twice the smaller. this means:

x=2z-8
When the smaller number is subtracted from the larger, the difference <span> is 17.

This means: x-z=17.


i'll insert </span>
2z-8

instead of x, since it's equal to it: 
2z-8-z=17

2z-z is just z:
z-8=17

so

z=25.
and x must be 25+17=42

let's check:The larger of two integers is 8 less than twice the smaller.
twice the smaller is 50, and yes, 42 is 8 smaller than 50, it's correct!

so the two numbers are 25 and 42



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Multiply (3x-4)(6x+7
Hitman42 [59]

Multiplying ,you get 18x^2+21x-24x-28. You simplify to get:

18x^2-3x-28.


8 0
3 years ago
Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????
andrey2020 [161]

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

Saving=25\%\text{ of }200

Saving=\dfrac{25}{100}\times 200

Saving=25\times 2

Saving=50

Therefore, the money saved by Katherine is $50.

6 0
3 years ago
A small theater sold 72 tickets for a
finlep [7]

Answer:

Adult tickets sold= 9x4 = 36

Senior tickets sold = 9x3= 27

Child tickets sold = 9 x 1 = 9

Step-by-step explanation:

If the parts for adult tickets changed within the 2 ratios given, we should have equated Ratio further. But here that is not 5e case. So, put both ratios together:

Senior:Adult:Child

3:4:1

Now,

Total number of parts 3+4+1=8

Number of tickets sold per part = 72/8 = 9

Therefore number of

Adult tickets sold= 9x4 = 36

Senior tickets sold = 9x3= 27

Child tickets sold = 9 x 1 = 9

Hope this helps.

Good Luck

5 0
3 years ago
Valerie earns $24 per hour. which expression can be used to show how much money she earns in 7 hours
Natalija [7]
Y = 24 x
y= 24(7)
y=168 hrs
5 0
3 years ago
An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.
Greeley [361]

Answer: 1) 0.6561    2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel.  : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}

=(1)(0.90)^4=0.6561

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0
3 years ago
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