3. Because it is so popular, a store owner increases the cost of a toy by $3.49. The new cost of the toy is $9.84.
(a) Write an equation that represents the situation. Use c to represent the original cost of the toy.
(b) Solve the equation using a related equation. Show your work.
(c) What does the solution of the equation represent? plz answer

Answers

Answer 1

a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35

Answer 2

Answer:

a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35. Just like jpforpresident146788 said.


Related Questions

What is 11% of 96 students

Answers

Answer:

8.7

Step-by-step explanation:

8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7


What number is 1/10 of 200

Answers

1/10 of 200 is 20

Answer: 20

Hope this helps.

Step by step:

1/10*200=20

Which linear equation would produce a y-intercept of (0,-7) and a slope of 5?

Answers

Answer: y=5x-7

Hope this helps! :)

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

X = 0 or X = -2

Step-by-step explanation:

2x^4 + 16x = 0

x^4 + 8x = 0

x(x+2) (4+x^2_2x) = 0

x + 2 = 0

or

4+x^2_2x=0

(3[tex]x^{2}[/tex]+[tex]y^{2}[/tex])Y+([tex]y^{2}[/tex]-[tex]x^{2}[/tex])x×[tex]\frac{dy}{dx}[/tex]=0

Answers

It looks like the given differential equation is

(3x² + y²) y + (y² - x²) x dy/dx = 0

Multiply both sides by 1/x³ to get

(3 + y²/x²) y/x + (y²/x² - 1) dy/dx = 0

(Note that in order to do this, we must have x ≠ 0, which means that if a solution exists, it would have to be on either (-∞, 0) or (0, ∞).)

Now substitute z = y/x, or y = xz, from which we get dy/dx = x dz/dx + z. Making this replacement and simplifying yields a separable equation:

(3 + z²) z + (z² - 1) (x dz/dx + z) = 0

(3 + z²) z + (z² - 1) x dz/dx + (z² - 1) z = 0

(z² - 1) x dz/dx = -(2z³ + 2z)

x dz/dx = (2z³ + 2z)/(1 - z²)

(1 - z²)/(2z (z² + 1)) dz = dx/x

Integrate both sides. On the left, split up the expression into partial fractions.

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac az + \dfrac{bz+c}{z^2+1}[/tex]

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac{a(z^2+1)+(bz+c)z}{z(z^2+1)}[/tex]

[tex]1-z^2 = (a+b)z^2 + cz + a[/tex]

for which we find a = 1, b = -2, and c = 0:

[tex]\dfrac{1-z^2}{2z(z^2+1)} = \dfrac12 \left( \dfrac1z - \dfrac{2z}{z^2+1} \right)[/tex]

Integrating and simplifying yields

1/2 ∫ (1/z - 2z/(z² + 1)) dz = ∫ dx/x

1/2 (ln|z| - ln(z² + 1)) = ln|x| + C

1/2 ln|z / (z² + 1)| = ln|x| + C

ln(√(z/(z² + 1))) = ln|x| + C

exp[ln(√(z/(z² + 1)))] = exp[ln|x| + C]

√(z/(z² + 1)) = exp[ln|x|] exp[C]

√(z/(z² + 1)) = Cx

z/(z² + 1) = Cx²

Replacing z = y/x then gives us an implicit solution of

(y/x) / (y²/x² + 1) = Cx²

xy / (y² + x²) = Cx²

y / (y² + x²) = Cx

y = Cx (y² + x²)

Cxy² - y + Cx³ = 0

though we can solve for y explicitly (assuming x > 0) using the quadratic formula to end up with

y = (1 + √(1 - Cx⁴))/(Cx)

(the other solution only differs by the sign on the square root)

if star x 2 equals square, then star x 8 equal

Answers

Answer:

Square times 4

Step-by-step explanation:

Square divided by 2 equals star right? Now we can plug in star in terms of square and we get square divided by 2 times 8, which is just Square times 4

Hi. can you help me?

Answers

Answer:

Sure

Step-by-step explanation:

First you need to ____

Next you need to ____

Last, put nothing

That's what you did, so I helped you out.

Is dis good

i- I think you forgot to put the picture.

help ! ✬

due tomorrow, i font understand this at all :(

Answers

Answer:

41 litters to gallons is 10.8311

3.5 gallons to litters is 13.2489

A = 10.8311 Gallons

B = 13.2489 Literes

Simpson office furniture pays Tom Russell a $2490 monthly salary plus a 9% commission on merchandise he sells each month .Assume Tom's sales were $88,000 for last month.​

Answers

Answer:

Amount Tom was paid for his sales last month 88,000 x9%= $7920.00

Step-by-step explanation:

A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $8 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that would enclose the most area.

Answers

The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.

In this question we shall use the first and second derivative tests to determine the optimal dimensions of a rectangular plot of land. The perimeter ([tex]p[/tex]), in feet, and the area of the rectangular plot ([tex]A[/tex]), in square feet, of land are described below:

[tex]p = 2\cdot (w+l)[/tex] (1)

[tex]A = w\cdot l[/tex] (2)

Where:

[tex]w[/tex] - Width, in feet.[tex]l[/tex] - Length, in feet.

In addition, the cost of fencing of the rectangular plot ([tex]C[/tex]), in monetary units, is:

[tex]C = c\cdot p[/tex] (3)

Where [tex]c[/tex] is the fencing unit cost, in monetary units per foot.

Now we apply (2) and (3) in (1):

[tex]p = 2\cdot \left(\frac{A}{l}+l \right)[/tex]

[tex]\frac{C}{c} = 2\cdot (\frac{A}{l}+l )[/tex]

[tex]\frac{C\cdot l}{c} = 2\cdot (A+l^{2})[/tex]

[tex]\frac{C\cdot l}{c}-2\cdot l^{2} = 2\cdot A[/tex]

[tex]\frac{C\cdot l}{2\cdot c} - l^{2} = A[/tex] (4)

We notice that fencing costs are directly proportional to the area to be fenced. Let suppose that cost is the maximum allowable and we proceed to perform the first and second derivative tests:

FDT

[tex]\frac{C}{2\cdot c}-2\cdot l = 0[/tex]

[tex]l = \frac{C}{4\cdot c}[/tex]

SDT

[tex]A'' = -2[/tex]

Which means that length leads to a maximum area.

If we know that [tex]c = 8[/tex] and [tex]C = 4000[/tex], then the dimensions of the rectangular plot of land are, respectively:

[tex]l = \frac{4000}{4\cdot (8)}[/tex]

[tex]l = 125\,ft[/tex]

[tex]A = \frac{(4000)\cdot (125)}{2\cdot (8)} -125^{2}[/tex]

[tex]A = 15625\,ft^{2}[/tex]

[tex]w = \frac{15625\,ft^{2}}{125\,ft}[/tex]

[tex]w = 125\,ft[/tex]

The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.

We kindly invite to check this question on areas: https://brainly.com/question/11952845

What’s 100/100 in simplest form

Answers

1

Explanation
It’s just 1

Answer:

1 or 1/1.

Step-by-step explanation:

100/100 simplest form is 1.

We know this because 100/100 is 1.  You could just do 1/1.

100/100 to 10/10 to 1/1 which is 1.

In which quadrant does the point (13 , -6) lie?
A.
Quadrant III
B.
Quadrant I
C.
Quadrant IV
D.
Quadrant II

Answers

Answer:

C

Step-by-step explanation:

i hope you'll find these useful......

Answer:

C, quadrant IV

Step-by-step explanation:

The X (13) is positive meaning the point is on the right side of the graph, and Y (-6) is negative so it's below the x axis

At registration for the first semester, the 1,500 students at Abraham Lincoln High School selected the primary mode of
transportation each planned to use to get to school during the semester. The circle graph below shows the distribution of
students who selected the various modes of transportation
Modes of Transportation Selected by
Abraham Lincoln High School Students
driving
for or riding
in a student-
driven car pool
25%
driving alone
30%
riding
with parent
10%
walking
10%
riding in a
school bus
Gina wants to duplicate this circle graph. Which of the following is closest to the measure of the central angle of the
"walking" sector?

Answers

Using proportions, it is found that the central angle of the walking sector is of 36º.

This question can be solved by proportions, using a rule of three.The angle corresponding to 100% = 1 is of 360º, while we want to find the angle corresponding to the walking sector, which is of 10% of the circle.

Hence, the rule of three is:

1 - 360º

0.1 - x

Applying cross multiplication:

[tex]x = 360(0.1) = 36[/tex]

The central angle of the walking sector is of 36º.

A similar problem is given at https://brainly.com/question/24372153

x/33=-2/3i don't know how to solve this some one help me please

Answers

Answer:

x/i=22

Step-by-step explanation:

x/33=2/3*i

*33       *33

x=2/3*33*i

/i              /i

x/i=2/3*33

x/i=22

HELLPPPPPP PLEASEEEE!!!!!!!!!!!!!!!

Answers

Answer:

D: Both the slopes and the y-intercepts are the same.

Answer:

its the same

Step-by-step explanation:

the slope is -2 and the y-intercept is (0,3)

the value of 3 1/5 - 1 2/3 is?

please write the answer with sums and explanations

anyone with the correct answer will be given 10-20 points and will be marked as Brainliest ​

note: it's not 31 or 12 it's seperated

Answers

QUESTION :-

The value of 3 1/5 - 1 2/3

ANSWER :-

[tex] = > \: \frac{16}{5} \times \frac{5}{3} \\ [/tex]

Take Lcm by the denominator ( check the pic )

[tex] = > \: ( \frac{16 \times3 }{5 \times 3} ) \: = \: \frac{48}{15} [/tex][tex] = > \: ( \frac{5 \times 5}{3 \times 5} ) \: = \: \frac{25}{15} [/tex]

Now subtract this

[tex] \frac{48}{15} - \frac{25}{15} = \: \frac{23}{15} [/tex]So , now ur ans is :-

[tex] \frac{23}{15} [/tex]

Question:[tex] \rightarrow[/tex] the value of 3 1/5 - 1 2/3 is?

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

Answer:

[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]

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

Explanation/Solution:

To solve the problem, let's find the LCM or Latest Common Multiple.

[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]

[tex] \rightarrow [/tex] LCM = 5 x 3 = 15

[tex] \\ [/tex]

Since the LCM is already finished let's solve for the both numerator and denominator.

[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]

Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.

[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]

Now its time to subtract.

[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]

Therefore, the answer is 1 8/15.

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

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

You buy clothing at a sale. You buy a sweater at
7
10
of its original price of $35. Answer each question and show all your work.

a. How much money did you spend?
b. How much money did you save?
c. What fraction of the total original price did you save?

Answers

The amount that will be spent is $24.50, the amount saved will be $10.50, and the percentage saved will be 30%.

The amount that will be spent will be:

= 7/10 × $35 = $24.50

The amount that will be saved will be:

= $35 - $24.50 = $10.50

The fraction of the original price that is saved will be:

= 10.50/35 × 100

= 30%

Read related link on:

https://brainly.com/question/25763817

3/4 x 2 5/6 ÷ 2 + 34

Answers

Answer: 35 1/16

Exact form: 561/16

Explanation:

One snowy day, the snow was falling at a rate of 3 inches per hour.
If it kept snowing at the same rate, now many inches would
accumulate in 24 hours
artice
соо

Answers

Answer:

72 inches

Step-by-step explanation:

You would multiply the 3 inches per hour times the 24 hours to get 72 inches of snow.

Answer:

72 Inches

Step-by-step explanation:

24x3=72

Prepare a mixture of 100g of 8% cream into 200g of 3% cream. What is the resulting concentration?

Answers

Answer:

14=300X

X=14/300

X=.04667 OR 4.67%

Step-by-step explanation:

100*.08+200*.03=(100+200)X

8+6=300X

14=300X

X=14/300

X=.04667 OR 4.67% SOLUTION ANS.

If this process is wrong, let me know

Flying Home A bird flies from the bottom of a canyon that is 844 9/10 feet below sea level to a nest that is 55 4/5 feet above sea level. What is the difference in elevation between the bottom of the canyon and the​ bird's nest? The difference between the elevation of the canyon and the​ bird's nest is enter your response here feet. ​(Simplify your answer. Type an​ integer, proper​ fraction, or mixed​ number.)

Answers

Answer:

900 7/10

Step-by-step explanation:

you add the numbers to gether

x+3-3= -6
its my quick hot sauce

Answers

ok nice answer…… well done

Two decimal for 2597.58333

Answers

Answer:

2597. 58000 and this is the ans

B. If the point are in line ( vertical) then it is not a functiom

Answers

Answer:

True.

Step-by-step explanation:

If a relation forms a vertical line, then that means a given input has multiple outputs. Because of this, it is not a function.

Pls help. The question is on the picture

Answers

Volume of the square part" 20 x 20 x 37 = 14,800 m^3

Volume of a cone ( round part): PI x r^2 x h/3 = 3.14 x 10^2 x 37/3 = 3,872.67 m^3

The1/4 of the circle is inside the square so multiply the volume of the cone by 3/4:

3872.67 x 3/4 = 2904.50m^3

Total volume = 14,800 + 2904.50 = 17,704.50

Round to nearest m = 17,705 m^3

How many pints are equivalent to 2 1/4 gallons.

Answers

Answer:

21.6171

Step-by-step explanation:

Have a great day!

10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function?
It also gives me these numbers:
a. 2x
b. 2x + 2
c. x^2
d. 2x^2

Answers

Answer:

d. 2x^2

Step-by-step explanation

A farm lets you pick 3 pints of raspberries for $12.00. How many pints do you get per dollar?

Answers

Answer:

it would take 4 dollars to get one pint. if that's what your asking.

Step-by-step explanation:

divide 12 by 3 or multiply 3 by 4 which gives you 12. your answer is 4 if i understand correctly.

Radium-221 has a half-life of s. How long will it take for of a sample to decay?

Answers

Answer:

The answer is 82.109 sec.

Step-by-step explanation:

This is the architectural plan for a fenced-in garden.
The shaded region represents an area for trees.
How long is the fence around the edge of the garden?
(Do not include the edge around the tree region.)

Answers

The fence around the edge of the garden is 17.86 m long.

The fence around the edge of the garden is the perimeter of the quarter circle. That is the length of the arc plus the two radii.

Since the radius is 5 units long, its length r = 5 m.

The length of the arc L = rθ where r = radius of quarter circle = 5 m and θ = angle subtended by the arc in radians = π/2 (90°)

So, the length of the fence L' = L + r + r

L' = L + 2r

L' = rθ + 2r

L' = r(θ + 2)

Substituting the values of the varaibles into the equation, we have

L' = r(θ + 2)

L' = 5 m(π/2 + 2)

L' = 5 m(1.571 + 2)

L' = 5 m × 3.571

L' = 17.855 m

L' ≅ 17.86 m

So, the fence around the edge of the garden is 17.86 m long.

Learn more about length of a fence here:

https://brainly.com/question/11978566

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If the price is $2 and the firm's marginal cost is $2, the firm shouldA) continue to produce, but produce more than 50.B) continue to produce 50.C) continue to produce, but produce less than 50.D) shut down.E) continue to operate, but to determine the amount of production needs more information than is given.Answer:42) Discretionary fiscal policy is a fiscal policy action, such asA) an interest rate cut, initiated by an act of Congress.B) an increase in payments to the unemployed, initiated by the state of the economy.C) a tax cut, initiated by an act of Congress.D) a decrease in tax receipts, initiated by the state of the economy.E) an increase in the quantity of money.Answer:43) The magnitude of the government expenditure multiplier is ________ the magnitude of the tax multiplier.A) greater thanB) equal toC) less thanD) not comparable toE) greater than for expansionary policy and less than for contractionary policyAnswer:44) An increase in government expenditure can ________ potential GDP and an increase in taxes can ________ potential GDP.A) increase; increaseB) increase; never changeC) decrease; decreaseD) never change; never changeE) increase; decreaseAnswer:45) When the Fed increases the federal funds rate,A) there is no effect on investment because investment depends on the real interest rate.B) the real interest rate falls, and investment increases.C) the real interest rate rises, and investment decreases.D) the real interest rate is unaffected, but investment still decreases.E) the real interest rate rises, and investment does not change.Answer:46) The Fed raises the federal funds rate. Which of the following changes occurs most rapidly?A) Exchange rate rises.B) Consumption expenditure decreases.C) Aggregate demand decreases.D) Real GDP growth decreases.E) Inflation rate decreases.Answer:47) If the Fed increases the quantity of money and lowers the federal funds rate, real GDP ________ and the price level ________.A) increases; increasesB) increases; decreasesC) decreases; increasesD) decreases; decreasesE) increases; does not changeAnswer:48) Raising the federal funds rate shifts the aggregate demand curve ________ so that real GDP ________ and the price level ________.A) rightward; increases; risesB) leftward; decreases; risesC) rightward; increases; fallsD) leftward; decreases; fallsE) leftward; increases; risesAnswer: 1. Explain why the energy of photoelectrons in XPS depends on energy of x-ray source, while energy of Auger electrons does not. A cylindrical rod formed from silicon is 16.8 cm long and has a mass of 2.17 kg. The density of silicon is 2.33 g/cm3 . 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