eight more than three times a number is equal to the sum of the number and 10. find the number

Answer:

We can divide the pack of cards in two ways

Non Ace cards and Ace cards

Since there are 4 aces in a pack

No of non ace cards will be 52–4=48

The question mentions atleast 1 ace cards so i can pick 1 ace card,2 ace cards or 3 ace cards

Case1:1 Ace card

1 will pick one ace card and 2 non ace cards

It can be done in 4C1*48*C2 ways

= 4*1128 = 4 512 ways

Case 2: 2 Ace Cards

I will pick 2 ace cards and 1 non ace card

It can be done in 4C2 * 48C1 = 6 * 48 =288 ways

Case 3:3 Ace cards

It can be done in 4C3 =4 ways

Therefore the probability is

(4512+288+4)/52C3

=4804/22100=0.217

Step-by-step explanation:

Step-by-step explanation:

2 and 9

3 and 7

4 and 8

what I see right away : the only pair whose sum is a prime number (or only just an uneven number) is 2 and 9.

2 + 9 = 11

3 + 7 = 10

4 + 8 = 12

just because these sums are even numbers they cannot be prime numbers and are "out".

A composite number is a positive integer that can be formed by multiplying two smaller positive integers different than 1.

so, the product of 2 numbers is therefore always a composite number, and the question in that direction is completely redundant (without any additional meaning).

so, again, 2 and 9 is the right answer.

Answer:

1/4

Step-by-step explanation:

Answer: The degree of 15y+v4-8 is 1

Step-by-step explanation: Hope this helps in your studies!

Answer:

84

Step-by-step explanation:

Multiply seven by 12 and you get your answer

Please mark brainlest

Answer:

c.

10

Step-by-step explanation:

hope that help's u :))

The value of y is 10 after executing the statements because the addition of numbers, subtraction, multiplication, and division option (c) 10 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The value x = 4

y = x + 1

y = 4 + 1

y = 5

The number expression can be defined as the combination of constants and variables with mathematical operators.

x= 3

y = 5(2)

y = 10

Thus, the value of y is 10 after executing the statements because the addition of numbers, subtraction, multiplication, and division option (c) 10 is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

7+(2+6) to the 2nd power 4(1/2) to the 4th power = 23

Step-by-step explanation:

Answer:

( 7 , 4 )

given:

make y the subject in equation 2:

4x - y = 24

-y = 24 - 4x

y = 4x - 24

insert this in equation 1:

4x + 10y = 68

4x + 10(4x - 24) = 68

4x + 40x - 240 = 68

44x = 68 + 240

44x = 308

x = 7

solve for y:

y = 4x - 24

y = 4(7) - 24

y = 4

Answer:

1000 yards

Step-by-step explanation:

First, create a triangle using the two known amounts.

12 blocks east will act as your base and 16 blocks south as your height. Connect these two lines to form a triangle.

This becomes a matter of the Pythagorean theorem or A^2 + B^2 = C^2

A= 12

B= 16

12^2 + 16^2 = C^2

400 = C^2

C= 20 blocks

Multiply this number by 50 to get the number in yards.

20 * 50 = 1000 yards

Answer:

$356.40

Step-by-step explanation:

Simply multiply 330 by 8% on a calculator:

330*1.08=356.4

The tax rate is the percentage of an income or an amount of money that has to be paid as tax. These officials prefer lower tax rates on capital gains. The budget may bring down the corporate tax rate from 35 percent to 30 percent, the peak rate of individual tax.

Answer:

O A. 26

Step-by-step explanation:

26 has occurred maximum number of times.

So, Mode of the given data value is 26

Solution:

We know that:

Substitute the parallel side lengths and the height in the formula to find the area of the trapezoid.

Substituting the parallel side lengths and the height in the formula:

Simplifying the RHS:

Thus, the area of the trapezoid is 28 units².

[tex]\\ \rm\Rrightarrow Area=\dfrac{1}{2}(Sum\:of\: parallel\:sides)\times Height [/tex]

[tex]\\ \rm\Rrightarrow Area=\dfrac{1}{2}(9+5)(4)[/tex]

[tex]\\ \rm\Rrightarrow Area=14(2)[/tex]

[tex]\\ \rm\Rrightarrow Area=28units^2[/tex]

Answer:

x ≤ 345

Step-by-step explanation:

refer the image please thank you

Answer

A - 30

B - 70

C - 30

D - 120

E - 30

Step-by-step explanation:

This is off the top of my head

Answer: 320 g

Step-by-step explanation:

We can set up a ratio.

Let the amount of oats equal to x.

18/240 = 24/x

We can now cross multiply.

18x = 5760.

x = 320 g

Answer:

[tex]320\ g[/tex]

Step-by-step explanation:

Start by setting up a ratio:

[tex]\frac{\text{amount of oats}}{\text{number of pancakes}}=\frac{\text{amount of oats}}{\text{number of pancakes}}[/tex]

[tex]\frac{240g}{18\text{ pancakes}}=\frac{xg}{24\text{ pancakes}}[/tex]

Cross multiply (Multiply the numerator of the first fraction by the denominator of the second and vice versa):

[tex]240*24=18*x\\5760=18x\\\text{Divide both sides by 18}\\x=320\ g[/tex]

Answer:

4275

Step-by-step explanation:

You have to do 95 * 45

The way I do this would be, 95 is close to 100, and doing 100 * 45 is much easier than 95 * 45.

100 * 45 is 4500 but ofc that isn't the answer, since we are using 100 and not 95 we have to subtract 5 * 45 which is also a fairly simple equation to solve

5*45 is 225, so what we have to do now is take our 4500 and subtract our 225

4500 - 225 = 4275

Answer:

4,275

Step-by-step explanation:

Give 95 people for each game.

there is only one easy step, you multiply:

[tex]95*45=4275[/tex]

hope this helped!
Brainliest Please!

Answer:

3/8

Step-by-step explanation:

÷ both sides by 40 =

3/8

Answer:

A. 115

B.2.93

Step-by-step explanation:

A- 30+85=115

B- 30x131=3930

   115x100=11500

   11500/3930=2.93

Answer:

3 is your answer

Step-by-step explanation:

y divided by x gives the proportionality

3

To find the constant of proportionality, you divide x from y.

6/2= 3

9/3= 3

12/4= 3

15/5= 3

So, the constant of proportionality is 3.

The categorization will be as follows

[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } Investment & Potential Returns & Potential Risk \\Money market savings account & L & L\\ IRA & M & M \\ Stock in a new tech company & H& H \\\end{center}[/tex]



The assertions made will follow the risk to returns principle that says the greater the risk the greater the returns.

In the categories Let

L= low

M= moderate

H= high in each category.​

Therefore, appropriate ranking will show

[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } Investment & Potential Returns & Potential Risk \\ Money market savings account & L & L\\ IRA & M & M \\ Stock in a new tech company & H& H \\Mutual fund & M & M \\Five-year CD (2% interest) & L & L \\High-yield five-year bond & H & M\end{center}[/tex]

More on Trade

https://brainly.com/question/15115779

a) For x = 27:

z = 27-28/2 = -0.5

For x = 31:

z = 31-38/2 = 1.5

From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%

b)  For x > 30.2:

z = 30.2-28/2 = 1.1

From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%

Answer:

•26.376 units

•23.236 units

•34.54 units

•59.66 units

Step-by-step explanation:

The formula for the circumference of a circle is ...

 C = 2πr = πd

 C = 2(3.14)r = 6.28r   or   C = 3.14d

 where r is the radius and d is the diameter.

Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".

 r = 4.2   ⇒   C = 6.28×4.2 = 26.376

 d = 7.4   ⇒   C = 3.14×7.4 = 23.236

 d = 11   ⇒   C = 3.14×11 = 34.54

 r = 9.5   ⇒   C = 6.28×9.5 = 59.66

Answer:

17

Step-by-step explanation:

Jason is 15 his sister 4 years younger: 15-4=11+(6years)=17

Answer : None of these

This neither adds up to 180° nor 90°

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given pair of angles adds up to (32° + 48°) = 80°, therefore they doesn't form any special angle pair. so the Correct choice is None of these.

Answer:

a is 7

Step-by-step explanation:

counting all of the 90° angles and then g and h are in the middle so you add the middle also

Answer:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

For u = 200 and o = 20

For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

P (X > a) = 0.1 (a)

P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Answer:

214+25=239

Step-by-step explanation: