Laurence earned scores of 87, 80, 75, and 85 on four biology tests. What score must he earn on his next test to have an 85 average?

A. 95
B. 98
C. 80
D. 85

Answer: 98

Answer:

The definition of alternate interior angles is that those two angles are the same.

Therefore because they are the same you can set them equal to eachother

3x + 24 = 78 is true

3x = 54

x = 18

Just know the definitions, for instance 3 and 4 are the same, 2 and 5 are the same, 1 and 6 are the same

Answer:

Step-by-step explanation:

Remark

Using Algebra, this is a proportion question. A proportion is 2 equal ratios

If the of the 2 ratio parts are known, it is possible to solve for the 4th one.

Formula

9_bats/50_grams::81_bats/x grams insects

Solution

Put the three knowns in and solve for the 4th which is not known

9 bats/ 50 insects = 81 bats /x insects.         Cross multiply

9 * x = 50 * 81                                                  Combine

9x = 4050                                                       Divide by 9

9x/9 = 4050/9

Answer: x = 450 grams

Answer:

I'm suggesting that you should read your books!!!

You should be more thoughtful...

Answer:

Part A) x = 6, 13, 22, 33

Part B)

Some examples of perfect squares are 9, 16, 25, and 36. They are the squares of 3, 4, 5, and 6. To generate these values, add x to 3 and plug these numbers into an equation:

√(x + 3) = 3

√(6 + 3) = √9

x = 6

√(x + 3) = 4

√(13 + 3) = √16

x = 13

√(x + 3) = 5

√(22 + 3) = √25

x = 22

√(x + 3) = 6

√(33 + 3) = √36

x = 33

1. (6, 3)

2. (13, 4)

3. (22, 5)

4. (33, 6)

I hope this helps!

Answer:

Applying Pythagoras we get x= 9

Answer:

using the relation,

h²=p²+b²:

15²=x²+12²

x=(225-144)^0.5

x=9

therefore x equal 9 meter.

Answer: the answer is 45

Step-by-step Step-by-step explanation:

so it says a pilot goes from 0 to 8 and then two images above so you add to to eat and then you add 5 to 2:30 for me to 522 the artistic 24 + 27 + 5 then you answer 8 + 2028 and then you add 5 + 1 + 2 + 2 + 4 + 3 + 3 + 4 + 1 + 5 + 16 + 18 and you get 45

Answer:

A, A, B, B

Step-by-step explanation:

Just put the options in the inequalities and check if they are true or not :

A ) ( - 1 , 0 )

[tex]2x + y \leqslant 3[/tex]

[tex]2( - 1) + 0 \leqslant 3[/tex]

[tex] - 2 \leqslant 3 \: \: \: kinda \: true[/tex]

And

[tex]x - y < - 3[/tex]

[tex] - 1 - 0 < - 3[/tex]

[tex] - 1 < - 3 \: \: \: false[/tex]

Thus A is wrong

_____________________________________________

B ) ( - 1 , - 1 )

[tex]2( - 1) + ( - 1) \leqslant 3[/tex]

[tex] - 2 - 1 \leqslant 3[/tex]

[tex] - 3 \leqslant 3 \: \: kinda \: true[/tex]

And

[tex] - 1 - ( - 1) < - 3[/tex]

[tex] - 1 + 1< - 3[/tex]

[tex]0 < - 3 \: \: \: false[/tex]

Thus B is wrong

_____________________________________________

C ) ( - 2 , 4 )

[tex]2( - 2) + 4 \leqslant 3[/tex]

[tex] - 4 + 4 \leqslant 3[/tex]

[tex]0 \leqslant 3 \: \: kinda \: true[/tex]

And

[tex] - 2 - 4 < - 3[/tex]

[tex] - 6 < - 3 \: \: \: true[/tex]

Thus C is the correct option

_____________________________________________

U can do D urself ...

Have a great day ♡

Let's say instead of x2-x1, we say, "The difference between x2 and x1", let's call this value A. We'll do the same for the y variables and call that difference B, for simplicity.

For (2,3) and (4,9), we're really dealing with those differences, so A should equal 2, and B should equal 6. So far so good. But this is pretty much the "rise and run" of a triangle. 2 to the right, then 6 up. But if you walk 2 miles east, then 6 north, while you, personally, have travelled 8 miles, the distance between your starting point and where you are is NOT the way you walked.

So in the case of the triangle, using 2 as the run and 6 as the rise, to get the straight line between the starting point and the ending point, we have to do Pythagorean's Theorem, or A2 + B2 = C2 to get that last direct line between the two points. Cancelling the root and exponents removes the process to get that exact distance squared. We then take the square root of that to get the exact distance.

Answer:

the answer ia true

Step-by-step explanation:

hope this helps

Answer:

14

Step-by-step explanation:

you can do 9 x 14 and get 126

Answer:

2

- x  -1

3  

Step-by-step explanation:

Answer: The awnser is 48

Step-by-step explanation: I took the quiz

6.03 Quiz: Use Theoretical Probability to Predict

It is expected to take 48 spins for a multiple of 5 to be spun 8 times.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since there are 12 sectors, the probability of landing on a multiple of 5 is 2/12 or 1/6.

The probability of not landing on a multiple of 5 is 5/6.

We can use the geometric distribution formula to find the expected number of spins:

E(X) = 1/p, where p is the probability of success.

As per the question, the probability of success is 1/6.

Therefore, E(X) = 1/(1/6) = 6.

We need to spin a multiple of 5 8 times, so we multiply the expected number of spins by 8:

6 x 8 = 48.

Therefore, we can expect to spin a multiple of 5-8 times after 48 spins.

Learn more about the probability here:

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Answer:

the answer is the third one

Step-by-step explanation:

because in a function the x value has to be unique.

Answer:

c (third one)

Step-by-step explanation:

Answer:

1. The value of 5 is fifty thousand

2. The value of 6 is six thousand

Step-by-step explanation:

1. 8.156 million - 8,156,000

2. 6,521

^ 6000

Answer:

E. SSS

Step-by-step explanation:

AB=BC (Given)

AD=CD (Midpoint)

BD=BD (common)

Therefore answer is : SSS

Answer:

6 days

Step-by-step explanation:

In one day, one demolition crew:

One day = [tex]\frac{1}{10} x[/tex]  with x = the entire job

Other demolition crew:

One day = [tex]\frac{1}{15} x[/tex]

Together, they do it in [tex]\frac{1}{10}x\\[/tex] + [tex]\frac{1}{15}x[/tex] = [tex]\frac{3}{30}x + \frac{2}{30}x = \frac{5}{30}x[/tex] [tex]= \frac{1}{6}x[/tex] in one day

So [tex]\frac{1}{6}x[/tex] x 6 = x

so it takes 6 days to complete the work together.

Answer: 7lb

Step-by-step explanation:

The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb

Total area of garden = 36 ft²

Total amount of gravel used = 252 lb

The amount of gravel used to cover each ft² of the garden can be calculated thus :

(Total amount of gravel used) ÷ (Total area of garden)

252 ÷ 36 = 7 lb

Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb

Answer:

See below

Step-by-step explanation:

D o you want pounds / sq foot ?

252 lbs / 36 ft^2 =   7 pounds per square foot

Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

Surface Area

Volume

Answer:

The difference of 15 and a number is 5 indeed 10 to be 15

Answer:

10

Step-by-step explanation:

Answer:

I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!

Step-by-step explanation:

28.4 g there are 110 calories

1 g there are 110/28.4 = 3.87 calories

39.76 g there are 3.87 × 39.76 = 153.87

Answer:

54 + 42 = 6 (9 + 7)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

The equation already gives the 7 in the parenthesis, so we know that 7 x 6 = 42.

The 6 will be on the outside of the equation since we will be using Distributive Property to multiply the 6 and 7.

Since we already know the 6 is on the outside, your new equation is:

6 x (what number) = 54

54 divided by 6 = 9

Answer:

Jason can afford 5 more additional lines, making 9 lines total because

175-120=55

55/10=5.5 so He can not afford more than 5 more additional lines.

Step-by-step explanation:

Answer:

4131.38

Step-by-step explanation:

Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:

[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]

Answer:

x=5.09 seconds (times at max)

Step-by-step explanation:

Answer:

y = -2x + 16

Step-by-step explanation:

Slope-intercept form is:

Where m = slope

b = y-intercept

To find the slope of the line containing (7,2) and (2,12), we have to find the slope, m.

Now, to find the y-intercept (b), insert m = -2 into the equation and one of the given points:

let's use point (7,2) to find b:

Now, we can find the equation of this line:

Answer:

y=-2x+16

Step-by-step explanation:

First we should find the slope.

We can use the formula (y2-y1)/(x2-x1)

(12-2)/(2-7)=10/-5=-2

So, the slope is -2.

From there, we can plug in one of the points into the standard slope-intercept equation, y=mx+b, along with the slope we already found

y=-2x+b

12=-2(2)+b

12=-4+b

b=16

So, the slope-intercept equation is y=-2x+16

Answer:

the three angles inside a triangle need to add up to 180 degrees

Step-by-step explanation:

Answer:

I believe it would be 9.

Step-by-step explanation:

Finding Dialation: 16/12 = 1.3
Height: 16/1.3 = 12
Width: 12/1.3 = 9

For the relation to not to be a function we need the same value of x in (x,y) that gives off different values (y).

Now plugging in the value of k,

hence , the relation won't be function if k would be equal to 3

The value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.

In general terms, a function is a mathematical rule or relationship that maps one set of values (the input or domain) to another set of values (the output or range). In other words, it's a specific process that takes some input and produces a corresponding output.

For the given relation R to be a function, each input in the domain should have exactly one corresponding output in the range.

We can determine whether the relation R is a function by checking if both ordered pairs have the same first coordinate. If they do, then the relation is not a function.

Let's equate the first coordinate of the ordered pairs:

2k+1 = 3k-2

Solving for k, we get:

k = 3

If we substitute k = 3 into the relation, we get:

R = {(2(3)+1, 3), (3(3)−2, −6)}

R = {(7, 3), (7, -6)}

Since both ordered pairs have the same first coordinate of 7, the relation R is not a function.

Therefore, the value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.

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