20 points answer right uestion 1(Multiple Choice Worth 4 points)
(09.03 MC)

Sako makes 11 cakes to share equally among 5 people. How many cakes does each person get?

two and one tenth cakes
two and one fifth cakes
two and two fifths cakes
five and one half cakes

Answer:

8

Step-by-step explanation:

If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.

Hope that this helps!

From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.

Coordinate, is represented as the values on the x-axis and the y-axis of the graph.

Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
                                                    = 8

Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

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Answer:  C) Trapezoid

Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.

The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the coordinates of the figure be represented as ABCD

Now , the vertices of the figure is

A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )

On plotting the coordinates in the graph , we get a trapezoid with

The longer base = BC

The shorter base = AD

So , the figure is a trapezoid

Hence , the vertices represents a trapezoid

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Step-by-step explanation:

Measure angle <1=<4 letter f

Then 3x-160=x+20

2x=180

Then x=90

Answer:

1/4x is basically x divided by 4/multiplied by 1/4

this can be applied in examples such as:

1/4(2) = 0.5

etc.

Step-by-step explanation:

i hope this helped, if not, please leave a comment specifically requiring what exactly you are stuck with.

Answer:

 1/8x+1/8x

Step-by-step explanation:

Answer:

10 :)

Step-by-step explanation:

I hope this helped :)

Answer:

Answer:

10

Step-by-step explanation:

medium is the number in the middle when all numbers are arranged in ascending order.

Answer:

10

Step-by-step explanation:

first arrange the data from ascending to descending order.

data = 6,8,10,12,14

median = N +1/2  (N means no of data)

=5 + 1/2

=6/2

=3 th term

=10

therefore median is 10

point to remember : if u are are to find the first quartile , median , or third quartile then u should arrange the data from ascending to descending order .

Answer:

x = ±6

Step-by-step explanation:

5x^2 = 180

Divide each side by 5

5x^2/ 5 = 180/5

x^2 = 36

Take the square root of each side

sqrt(x^2) = ± sqrt(36)

x = ±6

Answer: x = 6 or x = -6

Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.

When we take the square root of both sides of an equation,

we must always make sure to use plus or minus!

So x = ±5 and you can write your answer as the solution set {6, -6}.

Answer:

x = 10

Step-by-step explanation:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

4*x = 5*8

4x = 40

Divide by 4

4x/4 = 40/4

x = 10

Answer:

QT = 16

Step-by-step explanation:

ΔQRS ~ ΔQRT

In similar triangles, corresponding angles are in same ratio.

[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]

Cross multiply,

QT * 25 = 20 * 20

[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]

Answer:

40.6944 is your answer

Step-by-step explanation:

3.6×3.14=11: 3.6×3.6=40.6944 /41

Answer:

4

Step-by-step explanation:

just 4 -_-

4x^2-20x

=4(x^2-5x)

so the value is 4

By solving the quadratic equation, the value of A is 4

Option (3) is correct.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

Given quadratic equation

[tex]4x^{2} -20x+3=0[/tex]

⇒ [tex]4x^{2} -20x=-3[/tex]

By taking 4 as common in [tex]4 x^{2}[/tex] and 20x

⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)

According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)

By comparing equation 1 and 2 we can clearly see that A = 4

Hence, by solving the quadratic equation, the value of A is 4

Option (3) is correct.

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Answer:

C. 1 centimeter = 30 meters

[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]

Given:

The table of values.

To find:

The function for the given table.

Solution:

From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.

Mathematically, it can be defined as:

[tex]y=1\times x[/tex]

[tex]y=x[/tex]

Substitute [tex]y=f(x)[/tex] in the above equation to find the required function.

[tex]f(x)=x[/tex]

Therefore, the correct option is A.

The value of y will be 75°. The correct option is C.

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.

A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that the two parallel lines are DE and XY. The angle y will be calculated as,

y = 180 - 105

y = 75°

Hence, the measure of the angle y is 75°

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Answer:

-x+8=6

Step-by-step explanation:

x+5-1(2x)+(-1)(-3)=6

x+5-1-2x+3=6

ans (-x+8=6)

x+8

Answer:

B

Step-by-step explanation:

√256=16

√289=17

Answer:

b.√256 and √289 . play basketball

Answer:

option A

Step-by-step explanation:

Distance from earth to moon = 2.4 × 10⁵ miles

Distance from earth to sun = 9.3 × 10⁷

x × 2.4 × 10⁵ = 9.3 × 10⁷

[tex]x = \frac{9.3 \times 10^7}{2.4 \times 10^5}[/tex]

  [tex]=\frac{9.3}{2.4} \times 10^2\\\\=3.875 \times 10^2\\\\=3.9 \times 10^2[/tex]

The distance from the earth to the sun is 3.9 × 10² times distance from the earth  the moon

Everything has been explained in there

Answer:

x=3800, y=4400

Step-by-step explanation:

X+y=8200 equation 1

15x+25y=167000 equation 2

x=8200-y isolate x in equation 1

15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2

123000-15y+25y=167000

10y=44000

y=4400

solve for x by inserting y value into either equation.

x+y=8200

x+4400=8200

x=3800

Check answer:

15x+25y=167000

15(3800)+25(4400)=167000

57000+110000

167000=167000

C. Square, a rhombus is the right answer.

A rhombus is a parallelogram in which all four sides are congruent. Shaped like a diamond. A square is a parallelogram with four congruent sides and four right angles. In other words, squares are rectangles and diamonds.

Exactly all the shapes on the four sides are called squares. Each type of figure here is a square type. The lengths of the congruent sides are the same. If parallel sides are drawn as lines, they never intersect.

Two triangles are congruent If the corresponding sides have the same length and the corresponding angles are the same, then the two triangles are congruent.

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Answer: She didn't make an error.

Step-by-step explanation:

She just didn't I got it right.

Answer:

answer is D

Step-by-step explanation:

Answer:

hope it is helpful to you

this is another answer

sorry for bad handwriting

actually its my sista handwriting

Answer:

The ordered pair that best describes the location of G' is (-6,2).

Step-by-step explanation:

Reflecting a point over the y-axis:

When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:

(x,y) -> (-x,y).

Point G is located at (6, 2)

When reflected over the y-axis:

G'(-6,2).

The ordered pair that best describes the location of G' is (-6,2).

Answer:

9/8 cup peanuts were used

The amounts are:

Correct

Correct

Incorrect

Answer:

3/4x + 12 =48

3/4x=36

x=48