• Write an expression that is equivalent to 3(7 + x).
3(7+ x) =

Answer:

Step-by-step explanation:

Simply divide the numbers, the result is the quotient

The quotient of the given expression when 1,224 divided by 9 is 136.

The quotient is defined as the number obtained on dividing a number with some number.

The number left after the division is called as the remainder.

Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.

The quotient of the following expression can be calculated as:

When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.

So, it can be said that 136 is the quotient when 1,224 divided by 9.

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Answer:

its 10

Step-by-step explanation:

The reason its 10 is because it shows more 10 then any number

Answer:

BC = 30.73

Here,

[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]

so first solve for QD

[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]

[tex]\sf \hookrightarrow DQ =9[/tex]

Now! using Pythagoras theorem,

Answer:

BC = 30.7 units (nearest tenth)

Step-by-step explanation:

As ∠AQR = ∠CQR  then ∠AQB = ∠CQD

This means that ΔABQ ~ ΔCDQ

Therefore, the side lengths of two similar triangles are proportional.

[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting values into the formula:

[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]

(since distance is positive only)

Answer:

36*(5)^0.5

Step-by-step explanation:

distance on horizontal  36 feet

distance on vertical 78 feet

so distance between them = (36^2+78^2)^0.5 = 36*(5)^0.5

The two people are 66 feet apart from each other.

The 1st person travels 24 feet west, 18 feet south and 18 feet down.

The location of 1st person is (-24, -18, -18) , the negative sign is to convert all in same direction.

The 2nd person travels 12 feet east, 24 feet north and 12 feet up.

The location of 2nd person is (12, 24, 18)

The distance between  (-24, -18, -18) & (12, 24, 18 = [tex]\sqrt{(-24-12)^{2}+(-18-24)^{2}+(-18-18)^{2} }[/tex] feet

= [tex]\sqrt{(-36)^{2}+(-42)^{2}+(-36)^{2} }[/tex]) feet

= 66 feet

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Step-by-step explanation:

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

A. -3

Hope it helps............

The greatest value in the set (-144, -4, -3, -13) is,

⇒ - 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The set is,

⇒ (-144, -4, -3, -13)

Now, By the given set we have;

⇒ - 144 < - 13 < - 4 < -3

Therefore, We have;

The greatest value in the set (-144, -4, -3, -13) is,

⇒ - 3

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Answer:

Yes it does!

Have an amazing day!!

Please rate and mark brainliest!

Answer:

∠5 = 90°

∠3 =90

Step-by-step explanation:

∠4 + ∠5 = 180   {Linear pair}

90 +∠5 = 180

      ∠5 = 180 - 90

∠5 = 90°

∠3 = ∠4   {Verically opposite angles}

∠3 = 90°

Answer:

1st option

Step-by-step explanation:

Check out the attached photo

Step-by-step explanation:

complementary angles sum up to 90

[tex]x + y = 90[/tex]

[tex]45 + 45 = 90[/tex]

[tex]x = 45 \\ y = 45[/tex]

Answer:

5

Step-by-step explanation:

54÷8 x 4 ÷2 means that your answer would be 12

Answer:

3/4

Step-by-step explanation: i took test. pls give brainliest.

We use the BODMAS method to solve the given questions.

Solve the Bracket then Divide Multiply Add and Subtract

1. 32÷4×(16×1/2) - 2

= 32÷4 × ( 8 ) - 2

= 8 × 8 - 2 = 64 - 2 = 62

2. 20 ÷ (5×2/5) + 3

= 20 ÷ (2) + 3 = 20 ÷ 2 + 3

= 10 + 3 = 13

3. 1/2 ×(6×4) ÷ 3 + 2

= 1/2 × 24 ÷ 3 + 2

= 1/2 × 8 + 2

= 4 + 2 = 6

4. 2 (6÷2+8) - 4

= 2 (3+8) - 4

= 2 × 11 - 4

= 22 - 4

= 18

Answer:

Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]

Answer:

-9(1+x)

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

(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

Prices given by

Mean:-

[tex]\\ \rm\Rrightarrow \dfrac{Sum\:of\:price}{Total\:prices}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{24600+19000+33000+15000+20000}{5}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{111600}{5}[/tex]

[tex]\\ \rm\Rrightarrow 22220\$[/tex]

mean price = $22320

mean is the average of a set of given numbers

set { $24,600, $19,000, $33,000, $15,000, $20,000 }

[tex]\sf m = \dfrac{\text{sum of the terms}}{\text{number of terms}}[/tex]

[tex]\hookrightarrow\sf mean = \dfrac{111600}{5}[/tex]

[tex]\sf \rightarrow mean = 22320[/tex]

Answer:

I don't understand the instructions, but I'll answer the question in the picture.

The angle next to 52 is vertical to y, so,  90-52=y.

Thus, y=38

Answer: The difference between the weight of the cashews and yogurt raisins is 19 grams.

Step-by-step explanation:

205-186 = 19 grams

hope this helps!

[tex]\text{L.H.S}\\\\=\dfrac{1}{\sin^2 A} - \dfrac1{\tan^2 A}\\\\\\=\dfrac{1}{\sin^2 A}- \dfrac{1}{\tfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{1}{\sin^2 A} - \dfrac{\cos^2 A}{\sin^2 A}\\\\\\=\dfrac{1 - \cos^2 A}{\sin^2 A}\\\\\\=\dfrac{\sin^2 A}{\sin^2 A}\\\\\\=1\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

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

Step-by-step explanation:

A circle is x^2 + y^2 = 1 , where r = 1

The radius of that circle looks to appear to be r = 4.

x^2 + y^2 = 4^2

Transition that circle origin from (0,0) to (-2,4)

The origin is (-2,4) which mean h = -2 left and k = 4 up.

(x-h)^2 + (y-k)^2 = 4^2

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

Answer:

(-2,3)

Step-by-step explanation:

The point where two lines cross should be your answer!!!

(-2,3) is where the two lines meet/cross!!

That is the definition of a system on a graph!

-Where two lines meet/cross!!

Answer:

135

Step-by-step explanation:

5/8=0.625

1-0.625=0.375

0.375 times 360=135

Step-by-step explanation:

cos(x) = 5/13

the relation is

sin²(x) + cos²(x) = 1

so,

sin²(x) + (5/13)² = 1

sin²(x) + 25/169 = 169/169

sin²(x) = 144/169

sin(x) = 12/13

good luck !

Step-by-step explanation:

here you go also I like your profile picture classroom of elite !

Answer: All except 3 in.

Step-by-step explanation:

 Two shorter sides of a triangle are equal to or bigger than the longest side. So the answer is all of them except 3 inches.

Answer:

9.1 meters or 910 centimeters

Step-by-step explanation:

10.5 meters = 1050 centimeters

1050 - 140 = 910 centimeters

Using proportions, it is found that 420 students in the school would be expected to say their favorite class is Reading or Math.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 90 students, 20 + 40 = 60 students prefer reading or math. How many do out of 630? Thus, the rule of three is given by:

60 prefer reading of math - 90 students.

n prefer reading of math - 630 students.

Applying cross multiplication:

90n = 630 x 60

n = 630 x 60/90

n = 7 x 60

n = 420

420 students in the school would be expected to say their favorite class is Reading or Math.

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Answer:

6

Step-by-step explanation:

4 units x 3 units = 12 units / 2 to get a triangle

Answer:

Step-by-step explanation: