When an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by:_______

The ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A = length * width

For the large triangle

Area = 16 * 12

Area of large triangle = 192 square units

For the smaller rectangle

Area = 4 * 3

Area. of small rectangle = 12 square units

Ratio = 12/192 = 1:16

Hence the ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16

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Answer:

  (a)  x = -7, 1

Step-by-step explanation:

In most cases, it is useful to follow the directions. This can be solved easily by completing the square.

The square is completed by adding the square of the x-term coefficient to both sides.

  x² +6x +9 = 7 +9 . . . . . add 9

  (x +3)² = 16 . . . . . . . . simplify . . . . write the left side as a square

The square is now complete. We finish the solution by taking the square root.

  x +3 = ±√16 = ±4 . . . . take the square root

  x = -3 ±4 . . . . . . . . . subtract 3

  x = -7, 1

The method to use is Combination

Combination is a way or method of selecting items from a collection without a defined order or manner.

The formula for finding Combination is given as;

Combination = n!/ r!(n -r)!

n = 135

r = 2

Combination = 135!/ 2!(135 - 2)!

Thus, the method to use is Combination

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Answer:

50

Step-by-step explanation:

1000+250=1250

After that Just do it in reverse:

1250/25=50

Answer:

sorry ❣️ bro you halp me

The number that is represented by the question mark in the sequence is 2

Sequence are set of numbers that follow a predefined and predetermined patterns guided by a rule

The sequence of numbers is given as:

111= 0, 3213=0,

7756= 1,  7662= 2,

6855= 3,   8096= 5,

6666=4  8193= 3,

9313= 1,   8639= 4,

1234=0,   2581 = 2,

7186= 3,  2(6)7(9)=

From the complete question, the values of the sequence are determined by the count of numbers that are circled or in brackets

In the 2(6)7(9), two numbers are circled.

The numbers are 6 and 9

This means that the value of 2679 is 2

i.e. 2(6)7(9)= 2

Hence, the number that is represented by the question mark in the sequence is 2

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The reasons for the statement about the angles include:

3. Definition of linear pair.

4. Definition of supplementary angles.

5. Substitution.

6. Subtraction property of equality.

7. Definition of congruence.

The angles are supplementary because the angles 1 and 2, 2 and 3 form a linear pair and thus because of the definition of linear pair, they are supplementary angles.

The sum of angles of 1 and 2, 2 and 3 is equal to 180 because these pair of angles are supplementary angles. Supplementary angles are those angles whose sum is 180 degrees.

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Answer:

50 in²

Step-by-step explanation:

→ Find the area of the square

5 × 5 = 25

→ Find the area of the triangle

( 0.5 × 5 × 5 ) = 12.5

→ Double the answer as there is 2 triangles

12.5 × 2 = 25

→ Add the areas together

25 + 25 = 50 in²

Answer:

  35:9

Step-by-step explanation:

The ratios can be combined by making the common element be represented by the same number.

The common element in the two ratios is the number of girls. In the first ratio, girls are represented by 3 ratio units. In the second ratio, they are represented by 7 ratio units. Multiplying the first ratio by 7 and the second ratio by 3 will make the number of girls the same in both.

  boys : girls = 2 : 3 = 14 : 21

  girls : teachers = 7 : 3 = 21 : 9

Then the extended ratio can be written ...

  boys : girls : teachers = 14 : 21 : 9

The number of students is the total of the numbers of boys and girls, so we have ...

  students : teachers = (14 +21) : 9

  students : teachers = 35 : 9

The situation in which the quotient of -24 divided by 3 be used to answer the question is;

Check all options:

A. The temperature of a substance decreased by 24∘C per minute for 3 minutes. What was the overall change of the temperature of the substance?

Temperature decrease = 24°C per minutes × 3 minutes

= 72°C decrease in temperature

B. A football team lost 24 yards on one play, then gained 3 yards on the next play. How many total yards did the team gain on the two plays?

Loss = -24 yards

Gain = 3 yards

Total gain = -24 + 3

= -21 yards

C. Julia withdrew a total of $24 from her bank account over 3 days. She withdrew the same amount each day. By how much did the amount in her bank account change each day?

Amount withdrawn per day = -$24 / 3

= -$8 per day

Change in her account per day = $8

D. A cookie jar contains 24 cookies. Each child receives 3 cookies. How many children are there?

Number of children = 24 cookies / 3 cookies

= 8 cookies per children

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Using the given table:

a) the average rate of change is 32.5 jobs/year.

b) the average rate of change is 12.5 jobs/year.

For a function f(x), the average rate of change on an interval [a, b] is:

[tex]\frac{f(b) - f(a)}{b - a}[/tex]

a) The average rate of change between 1997 and 1999 is:

[tex]A = \frac{695 - 630}{1999 - 1997} = 32.5[/tex]

So the average rate of change is 32.5 jobs/year.

b) Now the interval is 1999 to 2001.

The rate this time is:

[tex]A ' = \frac{720 - 695}{2001 - 1999} = 12.5[/tex]

So the average rate of change is 12.5 jobs/year.

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Answer:

Step-by-step explanation:

150 kilometers

60 kph

tank is 20 liters

6 km/l

150/6 = 25 liters needed

$60/l

5 more liters of fuel

total cost 25 x .60 =  $15

Answer:

I have just wrote answers

Answer: 100

Step-by-step explanation:

The angles with measure 100° and x° are vertical angles, which are two opposite angles made from two intersecting lines. These vertical angles are always the same measure.

Hence, both x and 100 have the same measure.

Answer:

Step-by-step explanation:

hello :

|x – 5| + 2 < 20  means :  |x – 5| + 2-2 < 20-2

|x – 5|  < 18

-18< x - 5 < 18

-18+5< x - 5+5 < 18+5

-13< x< 23   ( solutions)

Answer: 36

Step-by-step explanation:

If 5/6 = 180

lets find what 1/6 equals

To do this lets divide 180 by 5 to find 1/6

[tex]\frac{180}{5} =36[/tex]

Therefore, 1/6 = 36

We know 180/5 will give us the answer because 180 is already 5/6 of the total; dividing by 5 will give us 1/6 of the total. Ex: if we had 4/6 of the total, we would divide by 4 to find 1/6.

Anyways, we can check our answer by doing:

36*5 = 216 then taking 5/6 of 216, which should equal 180

[tex]216*\frac{5}{6} =180[/tex]

Therefore, we know 36 is the correct answer

If the base angles of a trapezoid are congruent, the diagonals are congruent.

A trapezium is a quadrilateral and the sum of the interior angles is 360 degrees. Therefore, the properties of a trapezium includes the following:

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For an exponential function  [tex]f(x) = 3^{-x}2[/tex] as x goes to infinity, f(x) goes to zero.

We have been given an exponential function [tex]f(x) = 3^{-x}2[/tex]

We need to check the end behavior of f(x) as x goes to infinity.

Consider,

[tex]\lim_{x \to \infty} f(x)\\\\= \lim_{x \to \infty} 3^{-x}2\\\\=2\times \lim_{x \to \infty} 3^{-x}\\\\=2\times 3^{-\infty}\\\\=2\times 0\\\\=0[/tex]

This means, x [tex]\rightarrow[/tex] infinity, f(x) goes to 0

As x goes to infinity, f(x) goes to zero.

Therefore, for an exponential function  [tex]f(x) = 3^{-x}2[/tex] as x goes to infinity, f(x) goes to zero.

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The area of the semicircle = 8π

A semicircle is formed when the panel passing through the center touches both ends of the circle. Therefore, if you connect two semicircles, you get a circle

If you cut them in half or divide the circumference of the circle by 2, you will get a semi-circle. Area of ​​semicircle The area of ​​the semicircle is half the area of ​​the circle. Because the area of ​​the circle is πr2. Therefore, the area of ​​the semicircle is 1/2 (πr2). Where r is the radius. The value of π is 3.14 or 22/7.

Semi-circular area = 1/2 (πr2)

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The system of equation that could have led to the equation 9x = 27 is

7x - 2y = 15

x + y = 6

The correct option is the third option

7x - 2y = 15

x + y = 6

From the question, we are to determine the system that could have led to 9x = 27

1.

9x + 2y = 21

-9x - 2y = 21

Subtracting, we get

9x + 2y = 21

-9x - 2y = 21

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

18x + 4y = 0

2.

10x - y = 15

x + y = - 12

Subtracting, we get

10x - y = 15

x + y = - 12

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

9x -2y = 27

3.

7x - 2y = 15

x + y = 6

Here, multiply the second equation by 2

2 × [x + y = 6]

2x + 2y = 12

Now, add to the first equation

7x - 2y = 15

2x + 2y = 12

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

9x = 27

4.

4x + 3y = 24

-5x - 3y = 3

Subtracting, we get

4x + 3y = 24

-5x - 3y = 3

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

9x + 6y = 21

Hence, the system of equation that could have led to the equation 9x = 27 is

7x - 2y = 15

x + y = 6

The correct option is the third option

7x - 2y = 15

x + y = 6

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Trapezoid

[tex]A=\frac{1}{2}(3.5)(6+8)=24.5[/tex]

Parallelogram

[tex]A=(3.5)(6)=21[/tex]

Rhombus

[tex]A=\frac{1}{2}(7 \cdot 2)=7[/tex]

Red Area

[tex]2(21)+2(24.5)=91[/tex]

White Area

[tex]2(21)+2(24.5)=91[/tex]

The circular area surrounding the design is an existing rock bed are 24.5, 21, 27, 91 and 91 ft sq.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

It is given the bases of the trapezoids are 6 ft and 8 ft,

The heights of the trapezoid and the parallelogram are 3.5 ft each, and the horizontal distances between the left and right vertices of each rhombus is 2 ft.

Trapezoid

Area = 1/2(3.5)(6 + 8)

Area = 24.5

Parallelogram

Area = 1/2(3.5)(6)

Area = 21

Rhombus

Area = 1/2(7)(2)

Area = 7

Red Area

Area = 2(21) + 2(2.4)

Area = 91

White Area

Area = 2(21) + 2(2.4)

Area = 91

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For finding the given literal equation is necessary to apply the power 2 on both sides of the given equation and after that you should rewrite the equation as a function of the variable m .

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

The question gives: [tex]t=2\pi *\sqrt{\frac{m}{k}}[/tex] and from the previous equation, you should find [tex]m=\frac{kt^2}{4\pi ^2}[/tex].

STEP 1 - Applying the power 2 on both sides of the equation [tex]t=2\pi *\sqrt{\frac{m}{k}}[/tex].

[tex]t=2\pi *\sqrt{\frac{m}{k}}\\ \\ t^2=(2\pi *\sqrt{\frac{m}{k}})^2\\ \\ t^2=4\pi ^2*\frac{m}{k}[/tex]

STEP 2 - Rewriting the equation  [tex]t^2=4\pi ^2*\frac{m}{k}[/tex]  as a function of the variable m .

[tex]t^2=4\pi ^2*\frac{m}{k}\\ \\ t^2k=4\pi ^2m\\ \\ m=\frac{kt^2}{4\pi ^2}[/tex]

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Answer:

1. divide both sides of the equation by 2pi

2. square both sides of the equation

3. use the rule to simplify a fraction to a power

4. multiply both sides of the equation by k

Step-by-step explanation:

edg '22

Answer:

B

Step-by-step explanation:

solve equation.

The length of the rectangle = 2 - (1/3n) +(3/n²).

The formula for the area (taking this exists as a rectangle)

Area = length ⋅ width

where A exists the area of the rectangle

l exists the length of the rectangle and w exists the width of the rectangle.

If Area of the rectangle = length ⋅ width

then length of the rectangle = area/ width

Area = 6n² − n +9​

width = 3n²

Area = length [tex]*[/tex] width

length = area/ width

= (6n²  − n +9)/3n²

= 2 - (1/3n) +(3/n²).

The length of the rectangle = 2 - (1/3n) +(3/n²).

Therefore, the correct answer is option A. 2 - (1/3n) +(3/n²).

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Answer:

20 % are red

Step-by-step explanation:

I THINK this is what you mean:

24 blue + 6 red = 30 blocks total

6 red / 30 total = 6/30 = .2   = 20 %

Answer:

150 [tex]m^{2}[/tex]

Step-by-step explanation:

Consider the figure as an isosceles triangle and a rectangle combined.

ISOSCELES TRIANGLE

[tex]A = \frac{1}{2} bh[/tex]

[tex]A = \frac{1}{2} *15*12[/tex]

A = 90

RECTANGLE

[tex]A=lw[/tex]

[tex]A = 5*12[/tex]

[tex]A = 60[/tex]

60 + 90 = 150

Answer:

150m

Step-by-step explanation:

break up the polygon into a triangle and a rectangle.

Triangle:

to find the height of the triangle, subtract 5 from 20

height = 15m     base = 12m

[tex]area=\frac{1}{2}bh\\ A=\frac{1}{2} (12)(15)\\A=6(15)\\A=90m[/tex]

rectangle:

[tex]A=bh\\A=12(5)\\A=60m[/tex]

Add both areas together:

[tex]90+60=150m[/tex]

Answer:

y = 4x^2 + 8x - 12

4(x^2 + 2x - 3) = 0

4(x - 1)(x + 3) = 0

x = 1, -3

Answer:

[tex]\fbox {x-intercepts : (1, 0) and (-3, 0)}[/tex]

[tex]\fbox {Roots : x = 1, x = -3}[/tex]

Step-by-step explanation:

Given :

4 cancels throughout.

Solving by quadratic formula :

∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.

The value of expression is 18.

A modulus function is a function that determines a number or variable's absolute value.  A function with absolute values is another name for it. This function's result is always positive. let's suppose if you want to find modulus of -2 then you will get 2 as the answer.

now according to question

4|a|+8-a at a=-2

here a is negative that means modulus will give us positive value.

put a =-2 in the expression and get the answer. modulus of -2 will give us +2

so

=4(2)+8-(-2)

=8+8-(-2)

=8+8+2

=18

hence the answer is 18.

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The vertex form of the function is f(x) = -2(x-4)^2 + 2

The standard vertex form of a function is expressed according to the expression;

f(x) = a(x-h)^2+k

where

a is a constant = -2

(h, k) is the vertex = (4, 2)

Substitute

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

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

Hence the vertex form of the function is f(x) = -2(x-4)^2 + 2

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