Lucas used the number sentence 8 x 2 = 16 to solve a problem. Which problem could he have solved? ​

Answer:

1a.2.5x³-2.25x²+3.5x-1.5

1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)

2a.-2x⁶+7x⁴+3x³-3x²+11x+20

2b.Yes. When multiplying, it doesn't matter which term/expression you put first

3. The equation has two solutions: x=-2, x=3

Step-by-step explanation:

1. (a)

(0.5x-0.25)(5x²-2x+6)

0.5x(5x²-2x+6)-0.25(5x²-2x+6)

2.5x³-x²+3x -1.25x²+0.5x-1.5

2.5x³-2.25x²+3.5x-1.5

(b)

(0.25x-0.5)(5x²-2x+6)

0.25x(5x²-2x+6)-0.5(5x²-2x+6)

1.25x³-0.5x²+1.5x -2.5x²+x-3

1.25x³-3x²+2.5x-3

This is not equal to our answer for 1(a), so we can see they're not the same.

2(a)

(-2x³+x-5)(x³-3x-4)

-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)

-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20

-2x⁶+7x⁴+3x³-3x²+11x+20

(b)

Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.

3

2x²-2x-12=0

(divide each term by 2)

x²-x-6=0

(x+2)(x-3)=0

Anything multiplies by zero is zero, so either x+2=0 or x-3=0

If x+2=0, x=-2. If x-3=0, x=3.

The equation has two solutions: x=-2, x=3

I think it's c hope it's right

Answer:

The proportion of arriving customers that get taxis is:

= 33%.

Step-by-step explanation:

Rate of arrival of taxis = 1 per minute

In one hour, the number of taxis arriving = 60 (60/1)

Rate of arrival of customers = 3 per minute

In one hour, the number of customers arriving = 180 (60 * 3)

The proportion of arriving customers that get taxis = 60/180

= 0.333

= 33%

b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive.  Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.

Answer:

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?

donuts

Step-by-step explanation:At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?

donutsAt Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to

If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.

The binomial distribution is a discrete probability distribution that models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has a constant probability of success. It is commonly used in statistical modelling to describe the distribution of outcomes in a binary event, such as the success or failure of an experiment, or the presence or absence of a characteristic in a population. The binomial distribution is characterized by two parameters: the number of trials (n) and the probability of success in each trial (p).

E(X) = np

Given that,

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.

If 10 donuts are sold.

Then the number of the sprinkles would be

The probability would be

p = 3/6

p = 0.5

n = 10

Now,  the expected value of the number of the sprinkles will be

E(x) = 10 x 0.5

E(x) = 5

Hence, the number of sprinkles is 5

To know more about Binomial distribution check:

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Answer:

Choice B. 1/4 x + 4

Step-by-step explanation:

(1/2x+6)-(1/4x+2)

1/2x + 6 - 1/4x - 2

1/2 = 2/4

combine same values

1/4 x + 4

The value of the expression -8 * f(0) + 4 * g(-8) is -60

If the following equations represent the functions f(x) and g(x).

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate the value of -8 * f(0) + 4 * g(-8)

We have:

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate f(0) and g(-8)

f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15

Evaluate

f(0) = 7 and g(-8) = -1

Substitute the above values in the following expression

-8 * f(0) + 4 * g(-8)

So, we have:

-8 * 7 + 4 * -1

Evaluate

-60

Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60

Read more about functions at:

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Answer:

-32

Step-by-step explanation:

khan academy said so

Answer:

46

Step-by-step explanation:

7 x 6 + 8 − 16 ÷ 4

42+8-16 ÷4

42+8-4

50-4

46

Answer:

46

Step-by-step explanation:

the answer is 46 may i be marked brainliest?

Answer:

$2.70

Step-by-step explanation:

Step-by-step explanation:

answer is 52

i hope this helps

Answer:

14 and 37

I just kept checking all the pairs I could think of until I got to this answer.

Answer:

MEAN

Step-by-step explanation:

Have a Great Day!

Answer:

Not quite sure, but I think its the mean?

Answer: Hypotenuse is 12 inches

Step-by-step explanation: a^2+b^2=c^2

c^2=8^2+9^2

c^2=64+81

c^2=145

c=square root of 145

c=12.04

Answer:

62/100 multiplied by 650 which is 403 fruits left

Answer:

43.75 ft²

Step-by-step explanation:

[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.

[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)

Step 2: Divide 3.5 by 2 to get 1.75.

[tex]s_l[/tex] = 2(3.5√1.75² + 6²)

Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.

[tex]s_l[/tex] = 2(3.5√3.0625 + 36)

Step 4: Add 3.0625 and 36 to get 39.0625.

[tex]s_l[/tex] = 2(3.5√39.0625)

Step 5: The square root of 39.0625 is 6.25.

[tex]s_l[/tex] = 2(3.5 * 6.25)

Step 6: Multiply 3.5 by 6.25 to get 21.875.

[tex]s_l[/tex] = 2(21.875)

Step 7: Multiply 2 by 21.875 to get 43.75.

[tex]s_l[/tex] = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

Answer:

n=42

Step-by-step explanation:

14/7=n/21

2=n/21

42=n

n=42

Answer:

n = 42

Step-by-step explanation:

14/7 = 2

42/21 = 2

Answer:

A = 12.25 sq inches

Step-by-step explanation:

A = (7.8/2)²π

A = 3.9²π

A = 12.25 sq inches

Answer:

5.175117

Step-by-step explanation:

the answer is 104 hope it helps

Answer:

Given quadrilateral can't be inscribed in a circle.

Step-by-step explanation:

Property of a cyclic quadrilateral,

Sum of opposite angles of a cyclic quadrilateral is 180°

If the given quadrilateral fulfills this property, it can be inscribed in a circle.

From the given quadrilateral,

Sum of opposite angles = 168° + 22°

                                        = 190°

Therefore, answer is NO.

Given quadrilateral can't be inscribed in a circle.

Answer:

The answer is 5q + 9.

Step-by-step explanation:

1) Collect like terms.

[tex]5q + (22 - 13)[/tex]

2) Simplify.

[tex]5q + 9[/tex]

hence, the answer is 5q + 9.

Answer:

$90

Step-by-step explanation:

Given data

Given data

Loss= $13.5

Percentage of the loss= 15%

Let the full loss be x

Hence we can find the value of x as

15/100*x= 13.5

0.15x= 13.5

divide both sides by x

x= 13.5/0.15

x= $90

Hence the loss in full is $90

Answer:

5.2

Step-by-step explanation:

radius is half the diameter

Answer:

5.2in

Step-by-step explanation: