A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?

Answers

Answer 1
Answer:

Answer:

527

Step-by-step explanation:

237.15/0.45 = 527

Answer 2
Answer:

Answer:

They sold 527 toys.

Step-by-step explanation:

If they make 0.45$ profit on every toy.

Total profit of a month is $237.15.

then no of toys sold = total profit divided by individual profit

Number of toys= 237.15/0.45 =527


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Simplify
x^2+3x-4/x+4

Answers

The requried expression x²+3x-4/x+4 simplifies to x - 1.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

We can simplify the expression as follows:

[x²+3x-4]/x+4 = (x+4)(x-1)/(x+4)

(Factor the numerator as a product of two binomials: x^2 + 3x - 4 = (x+4)(x-1))

Cancel the common factor of (x+4) in the numerator and denominator, leaving:

= x - 1

Therefore, x²+3x-4/x+4 simplifies to x - 1.

Learn more about simplification here:

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1/(x+1) I researched and this is what I found

PLEASE HELPPPPPPPP ASAPPP!!!
Solve for x.

Answers

b=cy-x

please forgive the me for the way I typed it

y=x/c+b

y=x+b/c

cross multiply

x+b=cy

b=cy-x

Find the length of Line ED Round to the nearest hundredth.A.
7.32 m
B.
9.48 m
C.
9.56 m
D.
33.80 m

Answers

Answer:

The correct option is C. 9.56 meter

Step-by-step explanation:

∠D = 54° , ∠F = 32°

Now, Using angles sum property of a triangle

∠D + ∠F + ∠E = 180°

⇒ 54° + 32° + ∠E = 180°

⇒ ∠E = 180 - 86

⇒ ∠E = 94°

Now, Using sine rule in the triangle DEF

(FD)/(\sin 94)=(ED)/(\sin 32)\n\n\implies (18)/(\sin 94)=(ED)/(\sin 32)\n\n\implies ED = (18 * \sin 32)/(\sin 94)\approx 9.56\text{ meter}

Hence, The correct option is C. 9.56 meter

The angles in a triangle add up to 180°.
m \angle D + m \angle E + m \angle F=180^\circ \n54^\circ + m \angle E + 32^\circ = 180^\circ \nm \angle E=180^\circ - 54^\circ - 32^\circ \nm \angle E=94^\circ

According to the law of sines, the ratio of the length of a side of atriangle to the sine of the angle opposite to this side is the same for all sides.
So, the ratio of DF to sin m∠E is the same as the ratio of ED to sin m∠F.
(18)/(\sin 94^\circ)=(x)/(\sin 32^\circ) \n \n(18)/(\sin 94^\circ) * \sin 32^\circ= x \n \n(18)/(0.9976) * 0.5299 \approx x \n \nx \approx 9.56

The answer is C.

What is the result of isolating y2 in the equation below?(x + 4)2 + y2 = 22

A.
y2 = x2 - 8x + 6

B.
y2 = 22 - x2

C.
y2 = -x2 - 8x + 16

D.
y2 = -x2 - 8x + 6

ALL y2 are y^2

Answers

STEP-BY-STEP SOLUTION:

( x + 4 )^2 + y^2 = 22

x^2 + 2 × x × 4 + 4^2 + y^2 = 22

x^2 + 8x + 16 + y^2 = 22

y^2 = 22 - x^2 - 8x - 16

y^2 = - x^2 - 8x + 6

FINAL ANSWER:

Therefore, the answer is:

D. y^2 = - x^2 - 8x + 6

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Using the distributive property to find the product (y — 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y2 – ay – 64. What is the value of a in the polynomial?

Answers

Answer:

product y ³  - 64 and a = 16.

Step-by-step explanation:

Given : (y — 4)(y² + 4y + 16) .

To find : Using the distributive property to find the product a polynomial of the form y³ + 4y² + ay – 4y² – ay – 64. What is the value of a in the polynomial?

Solution : We have given

(y — 4)(y² + 4y + 16) .

Distribute y over (y² + 4y + 16) and - 4 over (y² + 4y + 16).

y (y² + 4y + 16) - 4 (y² + 4y + 16).

y ³+ 4y² + 16 y - 4y² - 16y - 64.

This is in form of y³ + 4y² + ay – 4y² – ay – 64.

Here, a = 16.

Product : combine like terms

y ³+ 4y²  - 4y²  + 16y - 16y - 64.

y ³  - 64.

Therefore , product y ³  - 64 and a = 16.

it is 16 well I just draw it out and i got if 




7.2 x 12 x 0.23 = ? Round to the nearest hundredth.A. 19.88
B. 19.87
C. 19.44
D. 19.43

Answers

B. 19.87

The answer of the multiplication is 19.872. close to the nearest hundredth, it is 19.87. That is because the digit after 7 is 2 which is less than 5. had it been 5 or greater than 5, the answer would have been A. 19.88.
The answer is B. 7.2*12=86.4, 86.4*0.23=19.872.