I need 7 and 8 simplified

Given:

The expanded form of [tex](x+s)(x-t)[/tex] is [tex]x^2+Kx-40[/tex].

Where, s, t, K are positive integers.

To find:

The smallest possible value of K.

Solution:

The expanded form of [tex](x+s)(x-t)[/tex] is [tex]x^2+Kx-40[/tex]. It means,

[tex](x+s)(x-t)=x^2+Kx-40[/tex]

[tex]x^2-tx+sx-st=x^2+Kx-40[/tex]

[tex]x^2+(s-t)x-st=x^2+Kx-40[/tex]

On comping both sides, we get

[tex]K=s-t[/tex]              ...(i)

K is a positive integer if s>t.

And

[tex]st=40[/tex]

The factor pairs of 40 are (1,40), (2,20), (4,10), (5,8), (8,5), (10,4), (20,2) and (40,1).

Since s>t, therefore the possible values for (s,t) are (8,5), (10,4), (20,2) and (40,1).

Using (i), find the value of K for each factor pair.

[tex]K=8-5=3[/tex]  

[tex]K=10-4=6[/tex]      

[tex]K=20-2=18[/tex]          

[tex]K=40-1=39[/tex]          

Therefore, the smallest possible value of K is 3.

Answer: 8 cups

Step-by-step explanation:

Let the cups of orange juice concentrate that he used be represented by x.

Therefore, based on the information, we can form an equation which will be:

2/5 = x/20

Cross multiply

5 × x = 2 × 20

5x = 40

x = 40/5

x = 8

Therefore, he used 8 cups of orange juice concentrate.

Answer:

Step-by-step explanation:

The bank uses money deposited into savings and other accounts for investments and loans. They need to ensure that the money won’t be withdrawn so they have use of that money.

Answer:

x≤0

JUst search it up on mathpapa lol

Answer:

x<0

Step-by-step explanation:

looks like this is an algebraic equation, we can get the answer by observation the "x" - witch we have to get, and see if x is bigger or smaller than the numbers. By doing that its not and we know x<0.

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., [tex]P(A\cap B)[/tex], therefore [tex]P(A\cap B)=P(A)\cdot P(B)[/tex].

Hence, the correct option is A.

Sample Answer:

8/14

Step-by-step explanation:

This is an open ended question with infinite answers, though you can for example multiply both parts of the fraction by 2 to get the same value

4/7

4 * 2 = 8

7 * 2 = 14

8/14 = 4/7

Answer:

8/14

Step-by-step explanation:

Answer:

carbon is heavier

Step-by-step explanation:

That's the difference right?

Oh and if you want an exact number, you can take the mass of carbon arom and subtract the mass of hydrogen atom

1.994×10^-23 - 1.67×10^-24= 19.94×10^-24 - 1.67×10^-24= 18.27x10^-24

Answer:

46degrees

Step-by-step explanation:

Find the value of x.

Using the circle theorem which states that

The angle at the vertex is half the difference that at the intercepted arcccs

x = 1/2(152 - 60)

x = 1/2 (92)

x = 92/2

x = 46degrees

Hence the value of x is 46degrees

Answer:

I don't know I'm really sorry please don't be angry

and if you want my social media cause your angry I'll give

Answer:

6.25 times two equals 12.5

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

180-75=105

105/2=52.5

Answer:

b) 105°

Step-by-step explanation:

Answer: Momma- 72, Uncle- 36, Baby-27, & Grandaddy-36

Step-by-step explanation:

Momma: x/48=30/20; 1440=20x; x=72

Uncle: x/72=5/10; 360=10x; x=36

Baby: x/36=6/8; 216=8x; x=27

Grandaddy: x/27=16/12; 432=12x; 36

Answer:

prob just [tex]\sqrt{6}[/tex]

Step-by-step explanation:

leg = [tex]\sqrt{3}[/tex]

j = [tex]\sqrt{3}[/tex] * [tex]\sqrt{2}[/tex]

[tex]\sqrt{6}[/tex]

Answer:

Step-by-step explanation:

Answer:

The St. Louis Cardinals had the most total runs

The Texas Rangers had the most total hits

Step-by-step explanation:

From the given matrices, we have;

The total runs made by the St. Louis Cardinals is found by adding the runs obtained in each of the seven games as follows;

Total runs by St. Louis = 3 + 1 + 16 + 0 + 2 + 10 + 6 = 38

Similarly the total hits by the St. Louis Cardinals is given as follows;

Total hits by St. Louis = 6 + 6 + 15 + 2 + 7 + 13 + 7 = 56

For Texas Rangers, we have;

Total runs by Texas Rangers = 2 + 2 + 7 + 4 + 4 + 9 + 2 = 30

Total hits by the Texas Rangers = 6 + 5 + 13 + 6 + 9 + 15 + 6 = 60

Therefore, we have;

The St. Louis Cardinals has the most total runs with 38 runs which is more when compared to the Texas Rangers that have 30 runs

The Texas Rangers has the most total hits with 60 hits compared to the St. Louis Cardinals that have 56.

Answer:

one

Step-by-step explanation:

althought the lines look parallel the

slope on the blue line is 1

slope on the red line is 3.5

therefor there is one solution

Answer:

Part a.

An angle bisector divides the angle into two congruent angles.

m<FGH = m<HGI

2x - 4 = 3x - 22

Subtract 2x from both sides. Add 22 to both sides.

18 = x

x = 18

Now that we know x = 18,

m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32

m<FGH = 32

Part b.

m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32

m<HGI = 32

Part c.

m<FGI = m<FGH + m<HGI = 32 + 32 = 64

m<FGI = 64

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b= -5

Step-by-step explanation:

because 5x-5=-25

Rewrite 5 1/4 as an improper fraction:

Multiply the whole number by the denominator of the fraction then add the numerator of the fraction and put over the denominator:

5 x 4 = 20 + 1 = 21

5 1/4 = 21/4

Ow divide the total amount (21/4) by the amount in each bag (5/8)

21/4 / 5/8

When dividing by a fraction flip the second fraction over and then multiply straight across:

21/4 / 5/8 = 21/4 x 8/5 = (21 x 8) / (4 x5) = 168/20 = 8 8/20 = 8 2/5 bags

He can fill 8 full bags and 2/5 of a other bag

Answer:A

Step-by-step explanation:

Step 1: 3/10

Step 2: 6/15=2/5

Step 3: 3/10 x 2/5 = 3/25

Answer:

36

Step-by-step explanation:

All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.

As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36

Answer:

filthy Frank always told ppl who had anime pic where weeaboos

Answer:

Crashed

Step-by-step explanation:

Collided means to "hit with force when moving."

Answer:

60

Step-by-step explaintion

5 x 12

Answer:

7.64

Step-by-step explanation:

use tangent (opposite over adjacent)

tan27=x/15

multiply both sides by 15 to isolate the x

15tan27=x

use a calculator

answer = 7.64

Answer:

Step-by-step explanation:

into decimal form:

[tex]2.4[/tex]

[tex]240\%[/tex]

Hint:

Answer:

The answer would be no association

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

132 plus 48 is 180 so altogether they baked 180 cupcakes

I hope this helped! :)