Which statement illustrates the distributive property?
O3(4+5)=3(4)+5
O 3(4+5)= 3(4)+3(5)
O 3[(4)(5)] = 3(4) +3(5)
O 3[(4)(5)] [3(4)] [3(5)]

Answer:

The answer is H. 6

Step-by-step explanation:

The greatest water depth is 12 and the lowest water depth is 6

12-6=6

H. 6  

Answer:

k

Step-by-step explanation:

It’s the deepest dept

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

assume the equation is (7x-4)/y=10

10y= 7x-4 didvide both sides by 10

y= (7/10)*x - (2/5)

m=7/10

b=-2/5

The equation for 7x - 4/y =10 in the form y = mx + b . The equation in the form

\(\(y = mx + b\) is: \[y = \frac{4}{7x - 10}\]\)

To rewrite the equation in the form  we need to  \(\(y = mx + b\),\)  isolate the term involving y on one side of the equation. Here's the step-by-step process:

Step 1: Add  \(\(\frac{4}{y}\)\)  to both sides of the equation to isolate the 7x term on the left side:

\(\[7x = 10 + \frac{4}{y}\]\)

Step 2: Get rid of the fraction by multiplying both sides of the equation by y:

\(\[7xy = 10y + 4\]\)

Step 3: Now, we want to express  y alone on one side. To do this, subtract 10y  from both sides:

\(\[7xy = 10y + 4\]\)

Step 4: Factor out y on the left side:

\(\[y(7x - 10) = 4\]\)

Step 5: Finally, divide both sides by to solve for  \(\((7x - 10)\)\)

\(\[y = \frac{4}{7x - 10}\]\)

Now, the equation is in the form where \(\(y = mx + b\), \(m\)\) is the coefficient of x and b is the constant term. In this case,\(\(m = \frac{4}{7x - 10}\) and \(b\)\)  is equal to 0.

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Answer:

THE ANSWER IS 81/16 OR C

Answer:

I think june at the earliest

Answer:

Ya and you have 2 tests i think

Answer:

Step-by-step explanation:

radius = 16/2 = 8

Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter

Answer:

a) You will reach 9 meters above the pool.

b) The length of time you are in the air is 2 seconds.

c) The height of the diving board is 7 meters.

Step-by-step explanation:

Given quadratic equation:

\(m(d)=-4d^2 + 5.5d + 7\)

To determine how far above the pool you reach on your dive, find the y-value of the vertex of the given quadratic equation.

The formula for the x-value of the vertex is -b/2a for a quadratic equation in the form y=ax²+bx+c.  Therefore, the x-value of the vertex for the given equation is:

\(\implies -\dfrac{5.5}{2(-4)}=0.6875\)

To find the y-value of the vertex, substitute d = 0.6875 into the given equation:

\(\begin{aligned}m(0.6875)&=-4(0.6875)^2+5.5(0.6875)+7\\&=-1.890625+3.78125+7\\&=1.890625+7\\&=8.890625\\&=9\; \sf m\;(nearest\;meter)\end{aligned}\)

Therefore, you will reach 9 meters above the pool (rounded to the nearest meter).

You will hit the water when your height is zero. Therefore, to find the length of time you are in the air, set the given quadratic equation to zero and solve for d using the quadratic formula.

\(\boxed{\begin{minipage}{3.6 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)

\(\implies d=\dfrac{-5.5 \pm \sqrt{5.5^2-4(-4)(7)}}{2(-4)}\)

\(\implies d=\dfrac{-5.5 \pm \sqrt{142.25}}{-8}\)

\(\implies d=\dfrac{-5.5 \pm \sqrt{142.25}}{-8}\)

\(\implies d=-0.803357..., \;2.178357...\)

As time is positive we can discount the negative solution. Therefore, the length of time you are in the air is 2 seconds (rounded to the nearest second).

The height of the diving board is the y-intercept of the graph of the equation. The y-intercept is the value of y when x = 0. Therefore, to find the height of the diving board, substitute d = 0 into the equation.

\(\begin{aligned}\implies d(0)&=-4(0)^2+5.5(0)+7\\&=0+0+7\\&=7\end{aligned}\)

Therefore, the height of the diving board is 7 meters.

Answer: 95x

Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)

Add 7 and 10.

5x(17-2+4)

Add 15 and 4.

5x multiped by 19

Multiply 19 by 5

95x

Answer:

2/9y(3y−4/7)

Use the distributive property to multiply  

9

2

​

y by 3y−

7

4

​

.

9

2

​

y×3y+

9

2

​

y(−

7

4

​

)

Multiply y and y to get y

2

.

9

2

​

y

2

×3+

9

2

​

y(−

7

4

​

)

Express  

9

2

​

×3 as a single fraction.

9

2×3

​

y

2

+

9

2

​

y(−

7

4

​

)

Multiply 2 and 3 to get 6.

9

6

​

y

2

+

9

2

​

y(−

7

4

​

)

Reduce the fraction  

9

6

​

 to lowest terms by extracting and canceling out 3.

3

2

​

y

2

+

9

2

​

y(−

7

4

​

)

Multiply  

9

2

​

 times −

7

4

​

 by multiplying numerator times numerator and denominator times denominator.

3

2

​

y

2

+

9×7

2(−4)

​

y

Do the multiplications in the fraction  

9×7

2(−4)

​

.

3

2

​

y

2

+

63

−8

​

y

Fraction  

63

−8

​

 can be rewritten as −

63

8

​

 by extracting the negative sign.

3

2

​

y

2

−

63

8

​

y

Step-by-step explanation:

The number line which shows the solution to the inequality is option C

3x + 2 ≤ -11

or

4x - 3 > 9

3x + 2 ≤ -11

3x ≤ -11 - 2

3x ≤ -13

x ≤ -13/3

x ≤ -4.33

or

4x - 3 > 9

4x > 9 + 3

4x > 12

x > 12 / 4

x > 3

Ultimately, the answer to the inequalities is x ≤ -4.33 and x > 3

Therefore, the number line which shows the solution to the inequality is option C

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Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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The repair bill totaled $800 for labor (L) and parts (P). The labor cost was three times the cost of the parts. What did the parts cost? ​

Total = 800 = labor (L) + parts (P) (1)

labor (L) = 3 X parts (P)

L= 3 x P

_____________________________________

Replacing Lin terms of P in the original expression 1 of the total

800 = 3 x P + P

4P = 800

P = 200

_________________

The parts cost $200

Answer:

x ≥ 1.5

Step-by-step explanation:

2x - 3 ≥ 0 ( add 3 to both sides )

2x ≥ 3 ( divide both sides by 2 )

x ≥ 1.5

Answer:

B. 46.

Step-by-step explanation:

First we set up the equation A(n)=-172 and substitute the given equation for A(n), giving us -172=8+(n-1)(-4). Simplifying, we get -180=(-4n+12), or -4n=-192, or n=48. However, n represents the number of terms in the sequence, and since the sequence starts with n=1, we need to subtract 1 from our answer to get the term number corresponding to A(n)=-172. Therefore, the answer is B) 46.

Answer:

The right answer is "0.33".

Step-by-step explanation:

As per the question,

n = 15

Average will be "x = 5"

Now,

The required proportion will be:

⇒ \(p=\frac{x}{n}\)

By putting the values, we get

⇒     \(=\frac{5}{15}\)

⇒     \(=0.33\)

Thus, the above is the appropriate solution.

The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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Answer:

-3/1

Step-by-step explanation:

It's always the x value over the y value, so whatever's in the x

Answer:

-3

Step-by-step explanation:

the equation is y=-3x+5, so m=-3

Answer:

160°

Step-by-step explanation:

Quadrilateral's angles add up to 360 degrees.

So:

x = fourth angle measure (unknown currently)

50° + 72° + 78° + x = 360°

200° + x = 360°

x = 160°

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

x = 1

Step-by-step explanation:

5(2x - 8) + 15 = -15

First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.

5(2x - 8) + 15-15 = -15-15

5(2x-8) + 0 = -30

5(2x-8) = -30

Now let's expand that first term.

5(2x)-5(8) = -30

10x - 40 = -30

Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.

10x - 40 + 40 = -30 + 40

10x -0 = 10

10x = 10

Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.

10x/10 = 10/10

x = 1

The answer is x = 1.

Let's check if our answer is correct!

Original equation: 5(2x - 8) + 15 = -15

Substitute 1 for x.

5(2*1-8) + 15 =

5(2-8) + 15 =

5(-6) + 15 =

-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.

Answer:

He had 543.333...$

Step-by-step explanation:

200$ + 126$ = 3/5

2/5= ?$

3/5 = 60%/100%

326$ divided by 60 = 1%

1% x 100 = 100%

326 divided by 60 = 5.4333...

5.433... x 100 = 543.333...

So, 100% = 543.333...

Hence, there is a 1/10 or 0.1 chance that both of the chosen kids will be under 62 inches tall.

In the field of mathematics known as probability, random chance and their results are examined. It entails putting a number between zero and 1, where 1 indicates that now the event is guaranteed to happen and 0 that it is impossible, to reflect the possibility of an event occurring. From straightforward games of chance to intricate real-world systems like share prices and weather patterns, probability theory offers a framework for the analysis and modelling of a wide range of phenomena. It has uses in physics, economics, computer science, statistics, and other disciplines.

given

Let A represent the scenario in which the first student chosen is under 62 inches, and B represent the scenario in which the second student chosen is under 62 inches as well.

Since there are two shorter kids out of a total of five students, the likelihood of choosing one on the first try is 2/5.

Given that the first student was shorter, the likelihood of choosing another shorter student on the second try is 1/4 because there would only be 1 shorter student left out of the other 4 students.

Thus, the likelihood of picking two consecutive students who are shorter

The formula for P(A and B) is P(A) P(B|A) = (2/5) (1/4) = 1/10.

Hence, there is a 1/10 or 0.1 chance that both of the chosen kids will be under 62 inches tall.

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Answer:

105/16

Step-by-step explanation:

12 * 16 = 192

192 + 13 = 205

I hope this helped, please mark Brainliest, thank you!

Answer:

0.2(2 tenths) times 0.3(3 tenths) = 0.06

Step-by-step explanation:

2 times 3 equals 6.

The 6 would have a 0 before it because you are using multiplication. If you were using addition, it would be 0.5(5 tenths) since you are adding tenths.

The cost of the car is $59,711.4.

Since,  A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100.

Given here:

Price of the car = $46,890.00,

percent down: 26%,

finance cost: $792.00 per month for 60 months

Thus Total cost= $46,890.00×0.26+60×792

                        = $12191.4 + $47520

                        = $59,711.4

Hence, The cost of the car is $59,711.4

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13 is the range, 17.0 is the population variance, and 4.1 is the population standard deviation.

The range of a collection of data is a measurement of its variability. It is the difference between a set of data's highest and lowest value.

Given ,

11,11,16,17,15,13,9,18,5,7

Highest value = 18

Lowest value = 5

Range = 18-5 = 13

The following formula works well for population variance:

Population Variance = Σ(x-mean)²/N

N is total element in the data = 10

x are the individual data

Calculating the mean is necessary before we can obtain the variance and standard deviation.

mean = Σfx/N

Mean = 122/10

Mean = 12.2

Variance = 170.16/10

Population variance = 17.016

Population variance ≈ 17.0 (to 1 d.p)

Population standard deviation = √Population Variance

Population standard deviation = √17.016 = 4.125

≈ 4.1 (to 1 d.p)

The complete question is:

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 11,11,16,17,15,13,9,18,5,7

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Answer:

30%

Step-by-step explanation:

See Venn diagram below