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Answer:

x = -5

Step-by-step explanation:

You have to work backwards.

53 + 7 = 60

60 ÷ 12 = 5

Add the negative »»» -5

Answer:

665

Step-by-step explanation:

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Answer:

665

Step-by-step explanation:

350 - 30( - 14 + 3.5) ← evaluate the parenthesis

= 350 - 30( - 10.5) ← distribute parenthesis by - 30

= 350 + 315

= 665

Answer:

10.3 cm

Step-by-step explanation:

By sine rule

[tex] \frac{x}{ \sin \: 50 \degree} = \frac{13}{ \sin \: 75 \degree} \\ \\ \implies \: x = \frac{13\sin \: 50 \degree}{\sin \: 75 \degree} \\ \\\implies \: x = \frac{9.9585777605}{0.9659258263} \\ \\ \implies \: x = 10.3098783\\\\\implies \: x = 10.3\: cm[/tex]

Answer: 90

Step-by-step explanation:

Let the sides have lengths 2n, 11n, and 15n.

Since the perimeter is 168, 2n+11n+15n=168, meaning that n=6.

So, the longest side is 15(6)=90 inches.

Answer:

45 guests = $1,625

90 guests = $2,750

Step-by-step explanation:

(25*45)+500= 1,625

(25*90)+500=2,750

[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=77.62 \end{cases}\implies 77.62=2\pi r\implies \cfrac{77.62}{2\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \cfrac{77.62}{2\pi } \right)^2\implies A=\cfrac{77.62^2}{4\pi }\implies A\approx 479.69[/tex]

Answer: 358

Explanation:  370 - 12 = 358

Answer:

B

C/15=3

Step-by-step explanation:

They devided the coconuts among 15 children

3x15 =45

45÷3 =15

So the number of coconut the kids gathered is 45

C/15=3 multiply by 15 on both side

15/1 ×c/15=3×15

C=3×15

C=45

Answer:

3(y+1)!

Step-by-step explanation:

Step-by-step explanation:

100% = 11.5

20% more means 120%

120% = 100%×1.2 = 11.5×1.2 = 13.8 ounces

Step-by-step explanation:

input is C and D and output is A and B

Answer:

1/5

Step-by-step explanation:

a=225

45/225=1/5

The formula for GP is Tn=ar^n-1

About 25 gallons of 20% mixture are needed to make the 80% mixture.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of gallons of 20% mixture needed, hence:

(20% of x) + (80% of y) = 65% of 100

0.2x + 0.8y = 65   (1)

Also:

x + y = 100    (2)

From both equations:

x = 25, y = 75

About 25 gallons of 20% mixture are needed to make the 80% mixture.

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Wrong because there will be sometimes a number that will be dividend by three completely.

See :-

93/3 = 31

63/3 = 21

33/3 = 11

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Answer:

Step-by-step explanation:

We only need to find one exception  to prove that she is wrong.

One such number is 33,  which = 3 * 11 ( noit prime).

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Just after step 3, the ovule develops cones.

The perimeter of the triangle described in statement has a measure of 56 units long.

After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:

[tex]\frac{x}{7} = \frac{x+5}{9}[/tex]   (1)

Now we solve the expression for x:

9 · x = 7 · x + 35

2 · x = 35

x = 17.5

And the perimeter of the triangle is determine by summing the three sides:

p = 9 + 7 + (17.5) + (17.5 + 5)

p = 56

The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]

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Answer:

A. 1.99 ounces

Step-by-step explanation:

Ramsey's weights is less than gerbil so if gerbil weights is 2.04 so  B is 2.3 is not correct C and D are not less than Ramsey's weights so the answer is A

Answer:

Explanation:

make the coefficient of x same by multiplying the entire following by 3

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

===========

0

Answer:

720

Step-by-step explanation:

break the area into two shapes the triangle and the rectangle

then you good

Answer:

48 degree

Step-by-step explanation:

Angle EFD=Angle EGD=42 degree

Angle EFG=90 degree

Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree

Answer:

m∠DFG = 48°

Step-by-step explanation:

Angles in a semicircle Theorem

The angle at the circumference in a semicircle is 90°

Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°

As the sum of the interior angles of a triangle is 180°

m∠EDG + m∠EGD + m∠DEG = 180°

⇒ 90° + 42° + m∠DEG = 180°

⇒ m∠DEG = 48°

As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°

Answer:

Just substitute the values in!
(-5/9) + (-4/3) - 2/3 = - 5/9 - 12/9 - 6/9 = -23/9.

Answer:

7 inches

Step-by-step explanation:

The area of a rectangle A is equal to its length times its width (or base times height if you want to put it that way.)

Since A = b*h, h = A/b. Plugging in values gives you 91.7/ 13.1 = 7 inches.

So the answer is 7 inches.

The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.

The first step is to determine the gram used in making the chocolate.

Gram = density x volume

Volume = 4/3πr³

4/3 x 22/7 x (2/2)³ = 4.19cm³

Gram = 4.19cm³ x 1.33 = 5.57 g

Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52

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Answer:

Step-by-step explanation:

Side₁ = 1.8 +3.2 = 5 cm

Side₂ = 3 cm

Side₃ = 4 cm

Perimeter of triangle = sum of all the three sides

                                   = 5 + 3 + 4

                                   = 12 cm

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]

                          [tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]

Answer:

Step-by-step explanation:

First, you would multiply 3x4 =12

next you would keep the denominator the same

last you would divide 8 by 12 10 get 1 3/8 for your answer

Answer:

(x-2)^2 +  (y+1)^2 = 3

Step-by-step explanation:

That is the standard equation for a circle given h,k center and r

[tex] \frac{ - 3}{10} \times ( - 0.1)[/tex]

[tex] \frac{ - 3}{10} \times \frac{ - 1}{10} [/tex]

–3 × –4

10

[tex] \frac{12}{10} [/tex]

[tex] \frac{6}{5} answer[/tex]

Answer: 26

Step-by-step explanation: Add all the booths together and you will get 300. You will get 300 because the t-shirts booth is $26. Now divide 300 by how many booths there are, which is six. And your mean will be 50.

Answer:x=−3

x=−2

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Hi, First begin by solving the quadratic equation

x^2 + 5x + 6

What two numbers multiply to get 6 but add to make 5? I would use 3 and 2

X^2 + 3x + 2x + 6

x(x+3) 2(x+3)

(x+2) (x+3)

X=-2

X=-3

These are your two solutions

-2 + -3 = -5