Josiah scored 22 points in his basketball game, including x 2-point baskets; y 3-point baskets, and z free throws, worth 1 point each. He made a total of 13 baskets, with three times as many 2-point baskets as 3-point baskets. Which system of equations represents this situation?​

Answer:

D. 3 1/12

Explanation:

[tex]\rightarrow \sf 4\dfrac{1}{3} -1\dfrac{1}{4}[/tex]

convert into improper fraction

[tex]\rightarrow \sf \dfrac{13}{3} -\dfrac{5}{4}[/tex]

make the denominators same. 12 is the common factor of both 3 and 4

[tex]\rightarrow \sf \dfrac{13(4)}{12} -\dfrac{5(3)}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{52}{12} -\dfrac{15}{12}[/tex]

join both fraction

[tex]\rightarrow \sf \dfrac{52-15}{12}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{37}{12}[/tex]

convert into mixed fraction

[tex]\rightarrow \sf 3\dfrac{1}{12}[/tex]

Answer:

7 units

Explanation :

Check out my work that I’ve attached

Let me know if you have any questions!

Have a nice rest of your day :)

No

To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.

Since 4 ≠ 5, the lines are not parallel.

Answer:

No, the lines are not parallel.

Step-by-step explanation:

Parallel lines have the same slope.

Therefore, find the slopes of both lines and compare.  

Slope formula

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

Line AB

A = (0, 6)

B = (8, 0)

[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]

Line CD

C = (-3, 4)

D = (0, 2)

[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]

As the slopes of the 2 lines are different, the lines are not parallel.

Answer:

if you are trying to find the length of the other three sides then

40 = 3x + 7

Step-by-step explanation:

Answer:

1.9

Step by step answer

step1 finding the mean

(7+4+7+7+2+10+12+8+7+5)/10 = 6.9

step2 Difference between each data

Difference between 7 and 6.9 is 0.1

Difference between 4 and 6.9 is 2.9

Difference between 7 and 6.9 is 0.1

Difference between 7 and 6.9 is 0.1

Difference between 2 and 6.9 is 4.9

Difference between 10 and 6.9 is 3.1

Difference between 12 and 6.9 is 5.1

Difference between 8 and 6.9 is 1.1

Difference between 7 and 6.9 is 0.1

Difference between 5 and 6.9 is 1.9

step3 add all the Difference

0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4

step4 divde it by n

19.4/10 = 1.9

so the answer is 1.9

Answer:

First find the inner angle:

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]

[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]

[tex]\hookrightarrow \sf x = 466.6533[/tex]

[tex]\hookrightarrow \sf x = 466.7[/tex]   ( rounded to nearest tenth )

====================================

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]

[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]

[tex]\hookrightarrow \sf y= 240.344[/tex]

[tex]\hookrightarrow \sf y= 240.3[/tex]

Answer:

y = 466.7 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°

Using the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substitute given values and solve for x:

[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]

[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]

[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]

Answer:

expression a and c

Step-by-step explanation:

A. 9x-3x-4 = 6x-4

C. 5x+x-4 = 6x-4

hope this helps

Answer:

Expression A and C

Step-by-step explanation:

When Expression A is simplified it is 6x - 4. And for Expression C you add 5x and x, and then it’s 6x - 4. That makes them the same expression. So your answer would be Expression A and C.

I hope it helps! Have a great day!

Muffin ^^

Answer:

[tex]\frac{1}{28}[/tex]

__________________________________________________________

When doing problems like this where you have to divide fractions by whole numbers, you can try skip counting or multiplying.

So:

[tex]\frac{1/4}{7} = 28[/tex]because it skip counts 28 times.

28 as a fraction is [tex]\frac{28}{1}[/tex], which we have to flip to make [tex]\frac{1}{28}[/tex] as our answer.

__________________________________________________________

Ask in the comments box.

Answer:15 boxes with 4 left over have a great day :)

Step-by-step explanation:

The increase in monthly amortization has result of higher interest rate is $349.86.

We have given ,the smiths were just approved for a 25 year mortgage at an 11% fixed rate. if they had not filed bankruptcy in the past, they could have gotten a rate of 7%.

We have to calculate the mortage value when loan amount is,$128,000,

[tex]A = P \times ((r(1+r)^n)/((1+r)^n-1))[/tex]

A = is the amortization

P = is the principal

r = is the rate

n = is the period

We have to compute for the amortization using the 11% interest rate.

[tex]A = $128000 \times ((0.11(1.11)^{25})/((1.11)^{25}-1))[/tex]

[tex]A = \$1,254.54[/tex]

When we  solve manually, the answer should be divided by 12 because it was on a monthly basis.

Next we have to compute for the amortization using the 7% interest rate.

[tex]A = $128000 \times ((0.07(1.07)^25)/((1.07)^25-1))[/tex]

[tex]A = $904.68[/tex]

When solve manually, the answer should be divided by 12 because it was on a monthly basis.

Therefore, the increase in monthly amortization has result of higher interest rate is $349.86.

To learn more about the amortization visit:

https://brainly.com/question/10561878

Answer:

$0.318 per minute

Step-by-step explanation:

3.18/10 = 0.318

3.18 divided by 10 equals 0.318

Answer:

3.18 cents per minute

Step-by-step explanation:

318 cents / 10 minutes = 3.18 cents per minute

Answer:

The answer is 7.

Step-by-step explanation:

7 + 2 is 9.

9 x 3 =27

27 - 7 =20.

Since the original number is 7 then we add 7 to 20.

7 + 20 = 27.

So, the number he started with is 7.

Answer:

4 electric guitars and and 5 acoustic guitars were sold.

Step-by-step explanation:

Electric guitars:  [tex]x[/tex]

Acoustic guitars: [tex]y[/tex]

[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]

--------------------------------

[tex]y + x = 9\\339y + 479x = 3611[/tex]

--------------------------------

[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]

--------------------------------

[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]

--------------------------------

[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]

Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].

[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]

Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.

Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.

Answer:

1 over 20

Step-by-step explanation:

Given that:

a spinner and 4 cards

A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green

Arrow point at purple

Four cards ⇒ Color : Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find - Probability spinner stops at purple & select pink card.

Solve:

Multiply 4 (the number of cards) with 5 (The number of equal sectors)

[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex]          {1 × 1 = 1}    {5×4=20}

~lenvy~

Answer:

1 over 20

Step-by-step explanation:

Given the following:

1 spinner and 4 cards

A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.

{Arrow point at purple}

Four cards ⇒ which color are Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find →  Probability spinner stops at purple & select pink card.

Since, purple and pink only has one in each of Spinner/card

Thus,

Spinner (5 equal sectors - 1/5}

Card {4 cards - 1/4}

1/4 × 1/5 = 1/20

Hence, probability spinner stops at purple & select pink card is [A] 1/20

[RevyBreeze]

Answer:

The ordered pair (1, 9) represents the unit rate as cost per pair of pants.

and

The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.

Step-by-step explanation:

hope this helped

Answer:

[tex]1.76[/tex] days

Step-by-step explanation:

**Note this propably is not what you are looking for but it gets you the final answer.**

Given the eqaution [tex]y=9^{5x}[/tex]

Lets solve for x.

Step 1.

Rewirte the equation as [tex]y=a^{bx}[/tex]. Where [tex]a=9[/tex]  and [tex]b=5[/tex].

Step 2.

Take the natural logarithm of both sides. Then rewrite the left hand side using properties of exponents/logarithms.

[tex]ln(y)=b*x*ln(a)[/tex]

Step 3.

Divide both sides of the equation by [tex]b[/tex]

[tex]\frac{ln(y)}{b} =x*ln(a)[/tex]

Step 4.

Divide both sides of the equation by [tex]ln(a)[/tex]

[tex]\frac{ln(y)}{b*ln(a)} =x[/tex]

Now we have our equation to solve for the number of days.

Step 5.

Plug [tex]9[/tex] back in for [tex]a[/tex]  and [tex]5[/tex] back in for [tex]b[/tex].

[tex]\frac{ln(y)}{5*ln(9)} =x[/tex]

Step 6.

We are given 243 million for [tex]y[/tex].

Lets plug in 243 million.

[tex]\frac{ln(243,000,000)}{5*ln(9)} =x[/tex]

Step 7.

Solve for x.

[tex]x=1.7575419...[/tex]

Lets round to the hundreth's place.

[tex]x=1.76[/tex]

1.76 days

Answer:

-2(x-5)=-2x-10 = -20

or

-2(x-5)=-2x-10 = 20

$60

hope it helps...!!!

Answer:

4502

Step-by-step explanation:

6884+78=6962

6962-2460=4502

Answer:

(-6,10)

Step-by-step explanation:

This is simple, you just subtract 8 from the x value, and add 4 to the y value.

Hope this helps

Answer:

22.5%

Step-by-step explanation:

The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to  2.25. Multiply this number by 100 to get it as a percent and you have 22.5%

22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.

To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."

The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.

So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100

= (9 / 40) x 100

= 22.5%

Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."

Learn more about Percentage here:

https://brainly.com/question/31616155

#SPJ2

A=160 m

Hope it helps.

Do comment if you have any query.

- area: 160 m²

- Asked to find the area of the rectangular pool.

- Given with width of the pool is 10 metres and length is 16 metres.

- multiplication

- 10 * 16

- area: 160 m²

Additional ===========

Answer:

1/40 as a decimal is 0.025.

Answer:

70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.

Step-by-step explanation:

70 cubic feel. 3. Abox of oat cereal measures 24 centimeters long by 5 centimeters wide by 25 centimeters high.

Answer:

C

Step-by-step explanation:

Answer:

[A] 20%

[B] 400%

Step-by-step explanation:

Part A:

To Find: Percentage

= Price in 1985/price in 2003

Thus,

$62000×100%=6200000÷310000=20%

Part B:

To FInd: Percentage increase

= (Price in 2003-price in 1985)/price in 1985

Thus,

$248000×100=$24800000÷62000=400%

[RevyBreeze]

Answer:

7 to 49

Step-by-step explanation:

The patterns here are clear, a number times 7. 7 x 7 is 49 so this could be an equation to submit.

Answer:

k = 7h.

Step-by-step explanation:

Each value of k is 7 times the value of h.

So k = 7h.

Answer:

3.125 cubic unit i guess

Answer:

3.125 unit cube is the answer i hope i helped u