sarahs volleyball team won 12 games of their first 18 games. if the continue to win at this rate, how many games will they lose if they play 36 games

Answers

Answer 1

Answer:

They lost 12 games.

Step-by-step explanation:

Set up a proportion.


12/18 = x/36


36 x 12 = 432


432/18 = 24


Because 18 represents how many games they won, the 24 also represents how many games they won. Therefore, you must subtract to find the amount of times that they lost.


36 - 24 =  12



Answer 2

Answer:

they lost 12 games

Step-by-step explanation:

they lost 12 games


Related Questions

The functions f(x) = (x + 1)^2 - 2 and g(x) = -(x-2)^2 + 1 have been rewritten using the completing-the-method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function.

Answers

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then the vertex is a minimum

• If a < 0 then the vertex is a maximum

f(x) = (x + 1)² - 2 → has a > 0

vertex = (- 1, - 2 ) and is a minimum

g(x) = - (x - 2)² + 1 → has a < 0

vertex = (2, 1 ) and is a maximum


Sandra bought a new coat for $49.99 and 3 skirts for $24.99 each . If the Sale tax rate is 7% to the nearest cent what is the amount of sale tax Sandra will owe on the purchase?

Answers

The solution is $ 8.75

The sales tax amount Sandra will owe on the purchase is $ 8.75

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the price of the coat be = $ 49.99

Let the price of one skirt be = $ 24.99

The sales tax percentage of Sandra's purchase = 7 %

So , the price of 3 skirts = 3 x price of one skirt

Substituting the values in the equation , we get

The price of 3 skirts = 3 x 24.99

The price of 3 skirts = $ 74.97

Now , the total price of the purchase of Sandra = price of the coat + price of 3 skirts

Substituting the values in the equation , we get

The total price of the purchase of Sandra = $ 49.99 + $ 74.97

The total price of the purchase of Sandra = $ 124.96

And , the sales tax amount of the purchase by Sandra A = sales tax percentage of Sandra's purchase x total price of the purchase of Sandra

The sales tax amount of the purchase by Sandra A = ( 7/100 ) x 124.96

The sales tax amount of the purchase by Sandra A = 0.07 x 124.96

The sales tax amount of the purchase by Sandra A = $ 8.7472

Therefore , the value of A is $ 8.75

Hence , the sales tax amount of the purchase by Sandra is  $ 8.75

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The circumstances of Z is 84cm. What is the length of XY (the mirror arc)

Answers

Answer:

B

Step-by-step explanation:

arc length = circumference × fraction of circle

                 = 84 ×[tex]\frac{90}{360}[/tex] = 21 cm


Sylvie has a leather cord that is 30 inches long. She needs 6 inches of leather to make a bracelet. How much leather cord will Sylvie have after she removes 6 inches?

Answers

Answer:

30-6=24

Step-by-step explanation:

Subtract the 6 inches from the 30 inches.

A student randomly draws a card from a standard deck and checks to see if it is his favorite suit he then returned to card to the deck shuffles and repeats experiment he performs experiment 30 times can the probability of drawing his favorite suit be found by using the binomial probability formula why or why not

Answers

Answer:

The binomial probability formula can not be used for this experiment because it does not state the number of times he expects to draw his favorite suit.  

Step-by-step explanation:

The binomial probability formula is expressed as follows:

P (k success in n trials) = [tex]\left \{ {{n \atop k} \right.[/tex] [tex]p^{k}[/tex][tex]q^{n-k}[/tex]

n = number of trials, k = number of successes, n-k = number of failures, p = probability of success in one trial and q = 1 - p = probability of failure in one trial.  

In the given problem, all of the variables are known except for 'k', the amount of times that the student predicts he will draw his favorite suit.  

Final answer:

Yes, the student's card drawing experiment can be considered a binomial experiment and therefore the binomial probability formula can be applied. This is because there are two possible outcomes for each trial (success or failure), the trials are independent, and the number of trials is fixed.

Explanation:

Yes, the probability of drawing his favorite suit can be found by using the binomial probability formula. This is because the scenario described satisfies the conditions necessary for a binomial experiment.

First, there are only two possible outcomes for each trial - success (drawing his favorite suit) and failure (not drawing his favorite suit). In a standard deck of 52 cards with 4 suits, there are 13 cards of each suit. Therefore, the probability of success, p, is 13 out of 52, or 0.25 and the probability of failure, q, is 1 - p, or 0.75.

Second, the student performs the experiment 30 times. This means there are a fixed number of independent trials (n = 30). This is independent because he returns the card to the deck and shuffles after each draw, so the outcome of one trial does not affect the outcomes of the other trials.

In a binomial experiment, the random variable X represents the number of successes in n independent trials. The mean, µ, can be calculated using the formula µ = np, and the standard deviation, σ, is given by the formula σ = √npq. Thus, you can use the binomial probability formula to calculate the probability of drawing his favorite suit a certain number of times out of the 30 trials.

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33 points

What did I do wrong for this equasion the answer cannot be a decimal

Thank you in advanced

Answers

Answer:

x=-5, y=-2

Step-by-step explanation:

6x+ 28 =y

5x-y=-23

Substitute 6x+28 in for y in the second equation

5 x-(6x+28)=-23

Distribute the negative sign

5x -6x-28 = -23

-x -28 = -23

Add 28 to each side

-x-28+28 = -23+28

-x = 5

Multiply by -1

x = -5

Now we need to solve for y

y = 6x+28

Substitute x=-5

y = 6(-5) + 28

y = -30+28

y = -2

Which of the following three dimensional objects has rotational symmetry about a line

Answers

Answer:

equilateral triangle, kite, regular pentagon, regular hexagon

a hexagon has rotational symmetry. Furthermore, the angle of rotation is 60° and since there are six copies of 60° in 360° (360 ÷ 60 = 6), we have that the order of rotation of a regular hexagon is six.


let me know if none of these r choices on ur test i will give u more examples :)

Answer:c rolling pin

Step-by-step explanation:

1. c reflectional and point

2. a reflectional

3. d.reflectional, rotational and point

4. c. rolling pin

5. c 10

a cylinder has a volume of 72 inches. what is the volume of a cone with the same height and radius as the cylinder? Explain

Answers

The formula of a volume os a cylinder:

[tex]V=\pi r^2H[/tex]

r - radius

H - heihgt

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

If a cylinder and a cone have the same radius and height then the volume of a cone is three times smaller than a volume of a cylinder.

Therefore

[tex]V_{cone}=\dfrac{1}{3}V_{cylinder}[/tex]

We have

[tex]V_{cylinder}=72\ in^3[/tex]

Substitute:

[tex]V_{cone}=\dfrac{1}{3}\cdot72=24\ in^3[/tex]

Answer: The volume of a cone is 24 in³.

Based on the polynomial reminder theorem, what is the value of the function when x= -5

F (x)= x^4 + 12x^3 + 30x^2 - 12x + 70

Answers

Answer:

-15

Step-by-step explanation:

Given is a polynomial in x

[tex]F (x)= x^4 + 12x^3 + 30x^2 - 12x + 70[/tex]

We have to find the remainder when the above polynomial is divided by x+5

Remainder theorem says that f(x) gives remainder R when divided by polynomial x-a means f(a) = R

Applying the above theorem we can say that value of the function when x =-5

= Remainder when f is divided by x+5

= F(-5)

Substitute the value of -5 in place of x

= (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70

= 625-1500+750+60+70

= 5

Hence answer is 5

Answer:

[tex]f(-5)=[/tex] 5

Step-by-step explanation:

According to the polynomial remainder theorem, when a polynomial f(x) is divided by a linear polynomial (x - a), the remainder of that division will be equal to f(a).

Therefore, substituting the value of x as -5 in the given function to find its value:

[tex]f(x)[/tex] = [tex]x^4 + 12x^3 + 30x^2 - 12x + 70[/tex]

[tex]f(-5)[/tex] = [tex](-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70[/tex]

[tex]f(-5)[/tex] = [tex]625+(-1500)+750-(-60)+70[/tex]

[tex]f(-5)[/tex] = [tex]5[/tex]

Therefore, the value of the given function when x = -5 is 5.

Remy drinks 214 cups of water every 145 hours.

How many cups of water does he drink in 1 hour?

Enter your answer as a mixed number. For example, if your answer is 4212, enter 42 1/2

Answers

Answer:

1  69/145 cups

Step-by-step explanation:

We can use ratio's to solve this problem.  We will put water over time

214 cups           x cups

--------------- = --------------

145 hours        1 hours


Using cross products

214 *1 =145 x

Divide both sides by 125

214/145 = 145x/145

214/145 = x

145 goes into 215 1 time with 69 left over

1 69/145


Your answer is 1 69/145

First, set up your problem.
214 cups=145 hours
? cups = 1 hour

Second, notice how to get to 1 hr from 145 hours, you divide by 145, so in this case, you need to divide 214 by 145.
214/ 145= 1 69/145

*145 (145) fits into 214 perfectly once (1) with a remainder of 69 (69) left over.

divisibility rule for 4.

Answers

Answer:

Divisable by 4? look at the last two digets If divide by 4, the whole number divides by 4.


4 = 2^2, so if you can divide a number by 2 twice, then the number is divisible by 4.

How many 1 3/4 foot pieces of ribbon can be cut from a piece of ribbon that is 36 feet long?

Answers

Answer:

Approximately 20 complete pieces of 1 3/4 foot of ribbon can be obtained.

Step-by-step explanation:

You have a piece of ribbon 36 feet long that should be divided into pieces of 1 [tex]\frac{3}{4}[/tex] feet. In order to know the quantity of pieces of said measurement, the total length of the ribbon (36 feet) must then be divided by the desired measurement of each of the pieces (1 3/4 feet):

[tex]amount of pieces of ribbon=\frac{36}{1 \frac{3}{4} }[/tex]

1 [tex]\frac{3}{4}[/tex] is a mixed number. A mixed number or mixed fraction consists of a whole part (natural number) and a fractional part. All fractions greater than unity can be expressed as a mixed number.

To be able to make the division stated previously, it is convenient to pass the mixed number to an improper fraction (An improper fraction is a fraction in which the numerator is greater than or equal to the denominator). For this you multiply the denominator by the whole number. To the result, you must add the numerator. Then that number is placed over the original denominator. Expressed in general is:

[tex]a \frac{b}{c} =\frac{a*c+b}{c}[/tex]

In this case:

[tex]1 \frac{3}{4} =\frac{4*1+3}{4}=\frac{7}{4}[/tex]

Then the previously stated division is expressed as:

[tex]\frac{36}{\frac{7}{4} }[/tex]

One way to perform this division is to reverse the SECOND FRACTION, that is, change the denominator to the numerator and change the numerator to the denominator. Then, both numbers are multiplied.

[tex]\frac{36}{\frac{7}{4} } =36*\frac{4}{7}[/tex]

Given that 36 can be expressed as 36/1, the multiplication is done "online." That is, the numerator of the first fraction by the numerator of the second and the denominator of the first fraction by the denominator of the second.

[tex]\frac{36}{1} *\frac{4}{7} =\frac{36*4}{1*7} =\frac{144}{7}[/tex]

Now it will be passed from fraction to mixed number. For that, the numerator is divided by the denominator. The quotient of the division becomes the integer of the mixed number. The rest of the division is the numerator of the fraction. The denominator is the same as that of the fraction, being the divisor of the division.

When dividing 144 by 7 the quotient is 20, the remainder is 4 and the divisor is 7. Then the mixed number formed is [tex]20 \frac{4}{7}[/tex]

This indicates that approximately 20 complete pieces of 1 3/4 foot of ribbon can be obtained.

Answer

about 20 complete pieces can be cut

Step-by-step explanation:

Given: ∆ABC, m∠C = 90° AL - is an angle bisector m∠ABC = 30°, LB = 18m Find: CL

Answers

Answer:

CL=9

Step-by-step explanation:

I'm sorry I can't explain it but the answer is 9.

The measure of CL is 9 m.

Given that, in ∆ABC, m∠C= 90° AL is an angle bisector m∠ABC = 30°, LB = 18 m.

We need to find the measure of CL.

What is an angle bisector?

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Now, sin 30°=CL/BL

⇒ 1/2 = CL/18

⇒ CL=9 m

Therefore, the measure of CL is 9 m.

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Which of the following inequalities matches the graph?

Answers

are there any more choices? it looks like B because the graph is decreasing.

Match the following items by evaluating the expression for x = -6.

Answers

For x = -2  expressions yield 1/4 , -1/2 , 1 , -2 , 4 for x^-2 , x^-1 , x^0 , x^ 1 , x^2 .

Evaluating Expressions for x = -2

When we evaluate expressions containing variables, we substitute the given value for the variable into the expression and simplify. In this case, we're asked to evaluate the following expressions for x = -2:

x^-2

x^-1

x^0

x^1

x^2

1. x^-2

x^-2 represents the reciprocal of the square of x. Substituting x = -2, we get:

x^-2 = 1/(-2)^2 = 1/4

2. x^-1

x^-1 represents the reciprocal of x. Substituting x = -2, we get:

x^-1 = 1/-2 = -1/2

3. x^0

Any non-zero number raised to the power of 0 is 1. Therefore:

x^0 = 1

4. x^1

x^1 represents the value of x itself. Substituting x = -2, we get:

x^1 = -2

5. x^2

x^2 represents the square of x. Substituting x = -2, we get:

x^2 = (-2)^2 = 4

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The question probable may be:

Match the following items by evaluating the expression for

x = -2

. x^-2

x ^-1

x^0

x^1

x^2

Draw an array to show how to arrange 20 chairs into 5 equal rows

Answers

4 row of 5 to get 5 equal rows

An airplane flies 810 km in 1.5 hours. Find the constant of variation.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{d}istance of 810 km in 1.5 \underline{h}ours}}{d=kh} \\\\\\ \textit{we know that } \begin{cases} h=1.5\\ d=810 \end{cases}\implies 810=k(1.5)\implies \cfrac{810}{1.5}=k\implies 540=k[/tex]

Answer : The value of constant of variation is, 540

Step-by-step explanation :

As we know that,

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

That means,

d = s × t

Here,

's' is constant of variation.

Given:

d = distance = 810 km

t = time = 1.5 hr

Now put the values in the above expression, we get:

d = s × t

810 km = s × 1.5 hr

[tex]s=\frac{810km}{1.5hr}=540km/hr[/tex]

Thus, the value of constant of variation is, 540

evaluate the expression when w=3,x=-2,y=6 and z=0.5
yz/w + 2x

Answers

Substitute the values of w, x, y and z to the expression:

[tex]w=3,\ x=-2,\ y=6,\ z=0.5\\\\\dfrac{yz}{w}+2x=\dfrac{(6)(0.5)}{3}+(2)(-2)=\dfrac{3}{3}-4=1-4=-3[/tex]

Answer: -3

Step-by-step explanation:

chloe made a conjecture that given any two numbers, the greater number can always be arranged into more arrays.

State whether you agree or disagree. Then explain why you think so by giving an example of two numbers that prove or disprove the conjecture.

Answers

Solution:

Array means arrangement of numbers in terms of rows and columns.

The conjecture is not True.

So, the conjecture made by chloe that given any two numbers, the greater number can always be arranged into more arrays is not true.

For example ,

1.(2,3)

2→(2×1),(1×2)

3→(3×1),(1×3)

This pair has same number of arrays because both of them are prime.

2. (3,4)

Here, 4>3

3→ (3 × 1),(1×3)

4→(4×1),(1×4),(2×2)

The pair of numbers are Co-prime, one of them is not prime. So Composite number has more number of arrays.

4. (6,11)

6→(1×6),(6×1),(2×3),(3×2)

11→(1×11),(11×1)

The number 6 is smaller, but it has more number of arrays.

5. (6,8)

6→(1×6),(6×1),(2×3),(3×2)

9→(1×9),(9×1),(3×3)

Both the numbers are composite.Smaller number 6 has more arrays.

These examples disprove the Conjecture made by Chloe, which states that given any two numbers, the greater number can always be arranged into more arrays.



What is the answer to -282=-6(5+7x)

Answers

Answer:

x = 6

Step-by-step explanation:

We have to isolate x.


-282 = -6(5+7x)

Distribute.

-282 = -30 - 42x

Add 30 to both sides.

-252 = -42x

Divide both sides by -42.

6 = x

The expression 3/8d+3/4 factored is

Answers

The answer would be  (3/8) (d+2)


The expression 3/8d + 3/4 is factored by first factoring out the common factor of 3, resulting in the factored form 3*(1/8d + 1/4).

The student's question involves the factoring of a linear algebraic expression. The given expression is 3/8d + 3/4, where 'd' is a variable. To factor this expression, we need to look for common factors in each term. Here, both terms contain a factor of 3, which we can factor out. This results in:

Factor out the common factor of 3: 3*(1/8d + 1/4).Recognize that 1/4 is equivalent to 2/8 in order to have a common denominator.Combine the two terms inside the parentheses: 3*(1/8d + 2/8).

Thus, the fully factored expression is 3/8d + 3/4 = 3*(1/8d + 1/4), with the understanding that 1/4 has been converted to 2/8 to have a common denominator.

Amara needs 4545 kilograms of meat to feed her 22 pet dragons each day. Each pet dragon eats the same amount of meat. How many kilograms of meat does Amara need to feed 44 pet dragons each day?

Answers

Answer:

9090 kilograms

Step-by-step explanation:

To find the number of kilograms per dragon, we divide the amount of meat by the number of dragons.

4545/22  kilograms per dragon

Now we can multiply by the 44 dragon that she has.

4545/22 * 44 = 9090 kilograms

Answer:

i believe your answer is 9090

Step-by-step explanation:


4545 =22 dragons each day

22 times 2=44

4545 times 2

9090

Assume that a set of test scores is normally distributed with a mean of 70 and a standard deviation of 10. In what percentile is a score of 65?

Answers

Answer:

30.85%

Step-by-step explanation:

Assume that a set of test scores is normally distributed with a mean of 70 and a standard deviation of 10

mean = 70 and SD= 10

To find percentile we use z-score value

z value can be find using formula

[tex]z= \frac{x-mean}{SD}[/tex]

[tex]z= \frac{65-70}{10}[/tex]

z=-0.5

Now we use z- score table to find the value when z=-0.5

P(x=65) = 0.3085

To find percentile we multiply by 100

0.3085 * 100 = 30.85%

Write the first five terms of the geometri.c sequence in which a1 - 8 and the common ratio is 5/2.

Answers

Answer:


8 , 20, 50, 125, 625/2           option D

Step-by-step explanation:

Given that,

first term a₁ = 8

common ratio (r) = [tex]\frac{5}{2}[/tex]

We need to find the five  terms of the geometric progression

We know that the nth term formula :

aₙ = a₁rⁿ-¹

where a₁ is first term and r is the common ratio

n is the number of terms

Second term (n=2)

a₂ = 8*[tex](\frac{5}{2} )^{2-1}[/tex] = [tex]\frac{8*5}{2}[/tex] = 20

Third term (n = 3)

a₃ = 8*[tex](\frac{5}{2} )^{3-1} = 8*(\frac{5}{2} )^{2}  = (\frac{8*25}{4} ) = 50[/tex]

Forth term (n=4)

a₄ = [tex]8(\frac{5}{2} )^{4-1} = 8*(\frac{5}{2} )^{3}  = (\frac{8*125}{8} ) = 125[/tex]

Fifth term (n=5)

a₅ = [tex]8(\frac{5}{2} )^{5-1} = 8*(\frac{5}{2} )^{4}  = (\frac{8*625}{16} ) = \frac{625}{2}[/tex]

So, five terms are :

8 , 20, 50, 125, 625/2

Answer:

D right on edg 2020

Step-by-step explanation:

Bailey has an hour to get ready for school he spends 3/6of that time getting dressed she spends 1/4of that time eating breakfast Bailey spend more time getting a dress or eating breakfast

Answers

Getting Dressed. She uses half her time getting dressed. :)

Final answer:

Bailey spends more time getting dressed, which is 1/2 of an hour (30 minutes), whereas she spends 1/4 of an hour (15 minutes) eating breakfast.

Explanation:

The question is asking which activity Bailey spends more time on in the morning: getting dressed or eating breakfast. Since Bailey has an hour to get ready, 3/6 of an hour is spent getting dressed, and 1/4 of an hour is spent eating breakfast.

First, we simplify the fraction for getting dressed, as 3/6 can be reduced to 1/2. Thus Bailey spends 1/2 hour or 30 minutes getting dressed. To find how much time is spent eating breakfast, we calculate 1/4 of an hour, which is 15 minutes.

Comparing the two, we see that Bailey spends more time getting dressed (30 minutes) than eating breakfast (15 minutes).

Can someone plz help me with number 9

Answers

Answer:

b

Step-by-step explanation:

b dont want to explain...

Answer:

B would be your correct answer here because you are counting down by negative hope this helps

Step-by-step explan

Is it possible to trisect any angle using only a compass and a straight edge

Answers


Hello from MrBillDoesMath!

Answer:

No. That problem cited is one of 3 great unsolved problems of antiquity. See  https://en.wikipedia.org/wiki/Angle_trisection for details.


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


Answer:

NO , an angle is not trisected using only a compass and a straight  edge.

Step-by-step explanation:

We are given two tools a compass and a straight edge

We need to tell if an angle is trisected using them or not.

Answer is NO , an angle is not trisected using only a compass and a straight  edge.

When we draw a semicircle by point pointer of compass at vertex of angle and then draw a line using points we get when semicircle intersects the arms of the angle. We get angle Bisection.

We again try to bisect we get four equal angles not Three.

So It is impossible to make odd numbers of equal angles from a given angle using a compass and a straight edge.

Write the equation of a line in slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2).


A) 16x + 8y = 10


B) y = −12x + 6

C) y = −12x+2

D) y=8x + 2

Answers

Answer:

y = -1/2 x + 6

Step-by-step explanation:

2x + 4y = 10

4y = -2x + 10

y = -1/2 x + 5/2

Parallel lines, slope is the same = -1/2

passes through the point (8, 2) so

y - 2 = -1/2(x - 8)

y - 2 = -1/2 x + 4

y = -1/2 x + 6

Answer:

y = -1/2x + 6

Step-by-step explanation:

We know that the slope intercept form of a line is [tex]y=mx+c[/tex].

Also, if two lines are parallel, they have the same slope. So re-writing the given equation 2x + 4y = 10 in the slope intercept form to find know its slope.

[tex]2x + 4y = 10\\\\4y=-2x+10\\\\y=\frac{-2}{4} +\frac{10}{4}\\ \\y=\frac{-1}{2} +\frac{10}{4}[/tex]

So the slope of the equation will be [tex]-\frac{1}{2}[/tex].

Finding the y-intercept (c):

[tex]y=mx+c\\\\2=-\frac{1}{2} (8)+c\\\\c=6[/tex]

Therefore, the equation of the line n slope intercept form that is parallel to 2x + 4y = 10 and passes through the point (8, 2) is y = -1/2x + 6.


Shelly types 301 words in 3 1/2 minutes what is the rate at which Shelly types in words per minute

Answers

Answer:

86 wpm

Step-by-step explanation:

You need to set up a proportion

x words in 1 minute301 words in 3.5 minutesx/1 = 301/3.5x = 301 / 3.5x = 86 words / minute

Answer:

86 words per minute

Step-by-step explanation:

You would divide 301 by 3 1/2 to find the unit rate. The answer will be 86. So Shelly types 86 words per minute.

HELP PLEASE! solve for x and y.

Answers

Answer:

x=24

y = 8 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use sin and cos

sin 30 = opposite/ hypotenuse

sin 30 = y/ 16 sqrt(3)

Multiply each side by 16 sqrt(3)

16 sqrt(3) * sin 30 = y

16 sqrt(3) * 1/2 = y

8 sqrt(3) = y


cos 30 = adjacent/ hypotenuse

            = x/16 sqrt(3)

Multiply each side by 16 sqrt(3)

16 sqrt(3) cos 30 = x

16 sqrt(3) * (sqrt(3)/2) = x

8 * sqrt(3)*sqrt(3)

8 * 3 = x

24 =x

Other Questions
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