What is the product of 6x – y and 2x – y + 2?

Step-by-step explanation:

9868866858566586575765578

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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To find the probability of saving a total of $20, we need to calculate the probability of both scenarios happening and add them together.

Scenario 1: Camera gets a 10% discount and game gets no discount.
The probability of the camera getting a 10% discount is 0.2 (or 20%) since there is a 20% chance of getting a discount on any item.
The probability of the game getting no discount is 0.8 (or 80%) since there is an 80% chance of not getting a discount on any item.
So, the probability of this scenario happening is 0.2 * 0.8 = 0.16 (or 16%).

Scenario 2: Game gets a 25% discount and camera gets no discount.
The probability of the game getting a 25% discount is 0.25 (or 25%) since there is a 25% chance of getting a discount on any item.
The probability of the camera getting no discount is 0.8 (or 80%) since there is an 80% chance of not getting a discount on any item.
So, the probability of this scenario happening is 0.25 * 0.8 = 0.2 (or 20%).

Therefore, the probability of saving a total of $20 is the sum of the probabilities of both scenarios: 0.16 + 0.2 = 0.36 (or 36%).

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Answer:

5h

Step-by-step explanation:

If Sarah has five times the amount of homework as yesterday,

the expression will be set up as

5 times (The amount of homework yesterday) - also known as h

Therefore, the expression is simplified as

5h

Answer: 38.35%

Step-by-step explanation:

59%=59/100=0.59

0.59-0.35(0.59)=

0.59-0.2065=

0.5900-0.2065=

0.3835=38.35%

Answer:

what are the answer choises

Step-by-step explanation:

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

Answer:

2 times

Step-by-step explanation:

3/4 × 2 = 6/4, simplified down is 3/2

Answer: the answer is a

The values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

The expression p(- x ≤ t22 ≤ x) represents the probability of a t-distribution with 22 degrees of freedom lying between - x and x.

We want to find the values of x such that this probability is 0.98.

We can use a table of t-distribution probabilities or a calculator to find the value of t for which the probability of a t-distribution with 22 degrees of freedom lying between −t and t is 0.98.

This value is , 2.518.

Therefore, we need to solve the inequalities:

-2.518 ≤ -x ≤ 2.518

Solving for x, we get:

-2.518 ≤ -x x ≤ 2.518

Therefore, the values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

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0.3193 is the probability of your 73% surity that at least seven of these people can read and write ( are not illiterate ).

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. A probability is a number between 0 and 1, where 1 indicates certainty and 0 indicates impossibility of the event.

p = 0.73

q = 1 - p = 1 - 0.73 = 0.27

n = 8

Using binomial probability formula ,

P(X = x) = (n C x) * px * (1 - p)n - x

P(X > 7) = (8 C 7) * 0.737 * (0.37)8-7  +(8 C 8) * 0.738 * (0.37)8-8

              =  0.238624 + 0.080646

Probability = 0.3193  

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Answer:

D. 10

Step-by-step explanation:

\({ \sf{(12x + 12) \degree = 79\degree + (5x + 3)\degree}} \\ { \sf{ \{outer \: angle \: is \: equal \: to \: sum \: of \: inner \: angles \}}} \\ { \sf{12x - 5x = 79 + 3 - 12}} \\ { \sf{7x = 70}} \\ { \sf{x = 10}}\)

Answer:

The treasure is 0.8 inches from the south edge on Ali's map.

Step-by-step explanation:

Scaling factor, f = (Original length)/(Scalet length)...(i)

Let  and  be the scaling factors used by Ali and Kiana respectively.

Given that the field is 400 feet= 400x12 inches wide and Ali made an 8-inch-wide map to record its location.

So, ...(ii)

Kiana made her map using a scale of 1-inch to 20 feet=20x12 inches.

So, ...(iii)

As on Kiana's map, the treasure is 2 inches from the south edge of the field,

so, from equations (i), and (ii), the original length of the treasure for the south edge of the field

=2x240

=480 inches

Now, again from the equation (i) and (ii), the scaled length of the treasure on Ali's map

= 480/f_1

=480/600

=0.8 inches

Hence, the treasure is 0.8 inches from the south edge on Ali's map.

The treasure from the south edge of Ali's map is 0.8 inches.

Given that;

Ali and Kiana buried a treasure together on their school’s field. The actual field is 400 feet wide.

And, Ali made an 8-inch-wide map to record its location.

Here, Kiana's made her map using a scale of 1 in. to 20 feet.

Since, On Kiana's map, the treasure is 2 inches from the south edge of the field.

Hence it gives,

2 x 20 feet

= 40 feet

Let us assume that;

The treasure from the south edge on Ali's map = x

Hence by using proportion we get;

8/400 = x/40

1/50 = x/40

x = 40/50

x = 0.8 inches

Therefore, the treasure from the south edge on Ali's map = 0.8 inches.

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The complete question is shown in attached image.

Answer:

29 units²

Step-by-step explanation:

You could divide this into two triangles and two trapezoids to find the area.  But since the majority of these are either whole or half squares, I‘d count those.  Then you’d just have one triangle in the top right corner.

Whole squares: 21

Half Squares: 10 (so 4 square units)

Triangle: 1/2(b)(h)=1/2(5)(2)=5

TOTAL = 21+4+5= 29 units²

The triangular area abc, from the graph on the market for gasoline represents, D. the deadweight loss (or excess burden) created by the tax.

The cost of market inefficiency, which happens when supply and demand are out of balance, is known as a deadweight loss. When supply and demand are out of equilibrium, a deadweight loss arises, which impairs the efficiency of the market.

Deadweight losses may result from price floors, such as minimum wage and living wage regulations, price ceilings like price controls and rent restrictions, and taxation. A society's resource distribution may also become inefficient with a decline in commerce.

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Answer:

his gives us that Chris is walking 69 feet per minute faster than Heidi.

Step-by-step explanation:

1 mile is equal to 5,280 feet, we can multiply 3 by 5,280 to find that Heidi is walking 15,840 feet per hour.

Next, we need to convert both speeds to feet per minute. Since there are 60 minutes in an hour, we can divide both speeds by 60 to convert them to feet per minute. This gives us that Heidi is walking 264 feet per minute and Chris is walking 333 feet per minute.

Finally, to find out how much faster Chris is walking than Heidi, we can subtract Heidi's speed in feet per minute from Chris's speed in feet per minute.

A) $15,025.8. is the correct option. Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly. She stand to get $15,025.8. if er loans are repaid after three years.

Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly.

We need to find how much she stands to gain if er loans are repaid after three years.

Calculation: Semi-annual compounding = Quarterly compounding * 4 Quarterly interest rate = 4% / 4 = 1%

Number of quarters in three years = 3 years × 4 quarters/year = 12 quarters

Future value of $1,000 at 1% interest compounded quarterly after 12 quarters:

FV = PV(1 + r/m)^(mt) Where PV = 1000, r = 1%, m = 4 and t = 12 quartersFV = 1000(1 + 0.01/4)^(4×12)FV = $1,153.19

Total amount loaned out in 12 quarters = 12 × $1,000 = $12,000

Total interest earned = $1,153.19 - $12,000 = $-10,846.81

Therefore, Chloe stands to lose $10,846.81 if all her loans are repaid after three years.

Hence, the correct option is A) $15,025.8.

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Answer:

come help me on my last question

Step-by-step explanation:

Answer:

y=4x+3

Step-by-step explanation:

Find the intercept - that is 3

Find the slope - that is 4

Answer: Cara takes longer to get to the library. She used 3 minutes more

Step-by-step explanation:

Cara leaves her house at 10:03 and arrives at the library at 10:17. The number of minutes used by Cara will be:

= 10.17 - 10.03

= 14 minutes

Irena leaves her house at 11:55 and arrives at the library at 12:06. The number of minutes used by Irena will be:

= 12.06 - 11.55

= 11 minutes

Cara takes longer to get to the library. She used (14 - 11) = 3 minutes more

The coordinates of point C are: C = (2 + (3/2) * √(13), 2 + (3/2) *√ ((13))

How to find coordinates of point?

To find the coordinates of point C, we can use the midpoint formula, which gives the coordinates of the midpoint of a line segment. We know that point C is 3/4 of the way from point A to point B, so it is closer to B than to A. Therefore, we can find the coordinates of C by finding the midpoint of the line segment AB and then moving 3/4 of the distance from the midpoint to B.

The midpoint of AB can be found by averaging the x-coordinates and the y-coordinates of A and B, respectively:

Midpoint M = ((-4 + 8)/2 , (-2 + 6)/2) = (2, 2)

Now, we need to find the distance from M to B and move 3/4 of that distance in the direction of B. We can use the distance formula to find the distance between two points:

distance MB = √((8 - 2)² + (6 - 2)²) = √(36 + 16) = √(52)

So, the distance from M to C is 3/4 of √(52), which is:

distance MC = (3/4) * √(52) = (3/4) * 2 * √(13) = (3/2) * √(13)

To move in the direction of B, we need to add the x-component and y-component of the distance MC to the x-coordinate and y-coordinate of M, respectively:

x-coordinate of C = 2 + (3/2) * √(13)

y-coordinate of C = 2 + (3/2) * √(13)

Therefore, the coordinates of point C are:

C = (2 + (3/2) * √(13), 2 + (3/2) * √(13))

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Answer:

165.50

Step-by-step explanation:

yeah

Answer: 165.50

Step-by-step explanation: i had the same one and got it right

Answer:

y-12=-32

Step-by-step explanation:

no explanation needed

The expression |ab^3| if a>0 and b>0 is even.

What is Parity Definition?

Even Function: A function is even if f(-x)=f(x) for all \($x \in \mathbb{R}$\) Odd Function: A function is odd if f(-x)=-f(x) for all \($x \in \mathbb{R}$\)

\(f(a): \quad|a|\left|b^3\right|\)

\(f(-a): \quad|a|\left|b^3\right|\)

\(-f(a):-|a|\left|b^3\right|\)

Check parity of \($|a|\left|b^3\right|$\)

Check if Even: True

Check if Odd: False

Even

The expression |ab^3| if  b>0

\($$\begin{aligned}& f(a): \quad|a| b^3 \mid \\& f(-a): \quad|a|\left|b^3\right| \\& -f(a): \quad-|a| b^3 \mid\end{aligned}$$\)

Check parity of \($|a|\left|b^3\right|$\)

Check if Even: True

Check if Odd: False

Even

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Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = \(\frac{1}{2}\) (110 + 40)° = 0.5 × 150° = 75°

Answer:

AB = 6 (Option B)

Work Shown:

Add up the values

75+97+92 = 264

Then divide by 3 since there are 3 scores

264/3 = 88

You can write this all as one step

(75+97+92)/3 = 88

So in short, you add the scores and then divide by the number of scores.

The length of AB will be 10 units. Option B is corect. The formula for the distance between the two points is applied in a given problem.

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)=(-2,-4)

(x₂, y₂)= (-8, 4)

The distance between the two points is found as;

\(\rm d= \sqrt{(-8-(-2))^2+(4-(-4))^2}\\\\ d=10 \ units\)

Hence, option B is corect.

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Answer:

D(1,12)

Step-by-step explanation:

See attached graph.