Select the student who reads the fastest (greatest number of words per minute).

Choose 1 answer

Tamar reads 600 words in 5 minutes.

Levi

Minutes Words read

2

280

4

500

6

840

words

Ariel

700

200

Answer:

9:00 am -------------------- 12:00pm ( There are 180 minutes between them)

Go 48 minutes back (132 Minutes between them)

That time is divided by 2

(4x minutes past 9:00 and x minutes left to reach 12:00)

132/3 = 44 minutes are left

OR

12:00- 44 minutes = 11:16

11:16-48 minutes =10:28

9 am + 88minutes (44 x 2) = 10:28

Answer:

I hope it is correct ✌️

Answer:  1) C. Reflexive Property of Congruence

               2) A. MD ≅ SG

               3) C. 5.3

               4) D. LK || MJ & JK ≡ LM

Step-by-step explanation:

1) An angle or side is congruent to itself by the Reflexive Property

2) TM ≡ LG       Sides are congruent (given)

   ∠M ≡ ∠G       Angles are congruent (given)

   MD ≡ SG       Sides are congruent                  

ΔTMD ≡ ΔLGS  Side-Angle-Side (SAS) Theorem

Note: The angle must connect the two sides

3) Use similarity proportion

[tex]\dfrac{6}{x}=\dfrac{9}{8}\\\\\\48=9x\\\\\\\dfrac{48}{9}=x\\\\\\5.3=x[/tex]

4) In order to prove a polygon is a parallelogram, you must show

Answer:

D. 65 degrees

Step-by-step explanation:

If two sides are congruent the corresponding angles are also congruent

Answer:

"The decimal number is just a shorthand way of writing a fraction with a denominator of one thousand. It means the very same thing as . But this is just the algorithm for dividing the numerator by the denominator to get the decimal digits ."

Step-by-step explanation:

Answer:

1. Equal domain, range, interval of increase and lack of asymptotes

The difference is the difference in slope

2. Equal domain, range, no increase or decrease (constant value) and lack of asymptotes

The difference is the difference in the y-intercept

Step-by-step explanation:

1. The similarities between the functions, y = 5·x and y = 3·x are;

a. The domain of y = 5·x is the set of all real numbers and the range is (-∞; ∞)

b.There are no critical point and the interval of increase is (-∞; ∞)

There are no asymptotes the line crosses the origin

The x and y intercept are both zero

Similarly, The domain of y = 3·x is the set of all real numbers and the range is (-∞; ∞)

There are no critical point and the interval of increase is (-∞; ∞)

There are no asymptotes the line crosses the origin

The x and y intercept are both zero

The difference between the functions, y = 5·x and y = 3·x is that the slope of y = 5·x is 5 and the slope of y = 3·x is 3

2.

The similarities between the functions, y = 4 and y = (2)  are;

a. The domain of y = 4 is the set of all real numbers (-∞; ∞), [tex]\left \{ x\mid x\in R \right \}[/tex] and the range is {4}

b.There are no critical point and no interval of increase or decrease

There are no asymptotes the line does not cross the origin

There are no x-intercept and y intercept is (0, 4)

Similarly, the domain of y = (2) is the set of all real numbers (-∞; ∞), [tex]\left \{ x\mid x\in R \right \}[/tex] and the range is {2}

There are no critical point and no interval of increase or decrease

There are no asymptotes the line does not cross the origin

There are no x-intercept and y intercept is (0, 2)

The difference between the functions, y = 4 and y = (2) is that the y-intercept of y = 4 is 4 and  the y-intercept of y = (2) is 2

Answer:

The constant proportionality of the table above is 16.

Step-by-step explanation:

In order to solve this problem, you must divide the weight of cat food by the number of bags. You must also continue doing this for each of the ratios shown in the table.

64 ÷ 4 = 16

80 ÷ 5 = 16

96 ÷ 6 = 16

So, the proportionality of the table is 16. As you can see, when we divided the numbers, they all had a quotient of 16, which is our proportion.

Answer:

68

Step-by-step explanation:

Step 1: Convert fraction to improper

4 1/4 = 16/4 + 1/4 = 17/4

Step 2: Multiply 16 and 17/4

16(17/4) = 272/4 = 68

Answer:

x=-24

Step-by-step explanation:

2/3 x +3 =1/4x-7

8/12x+3= 3/12x-7

5/12x + 3 = -7

5/12x = -10

5/12x (12/5) = -10(12/5)

x=-120/5

x=24

Answer:

Exact Form:65/14

Mixed number Form:4 9/14

Step-by-step explanation:

Answer:

4 9/14

as an improper fraction: 65/14

hopefully this helped :3

Answer: E. None

================================================

Explanation:

At first glance, you could argue there are infinitely many solutions (since there are infinitely many points on the given line, there is likely infinitely many integer points).

However, let's factor 4p+6q to get 2(2p+3q). Note that 2 is a factor, so the expression 4p+6q is some even integer. This is true for any (p,q) pairing. But the right hand side 13 is odd. This is a contradiction and therefore there are no solutions.

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

The closest you can get is (p,q) = (-1,3) since 4p+6q = 4(-1)+6(3) = -4+18 = 14.

Or you could do (5,-1) to get 4p+6q = 4(5)+6(-1)=20-6 = 14

There are infinitely many ways to get close to 13, but we can't land exactly on 13 itself.

Answer:

has no solution

Step-by-step explanation:

4p+6q=13

solve for p:

4p=13-6q

p=(13-6q)/4  try q=1

p=13-6/4=1.75

p=13-12/4=1/4

also because they both even

Answer:

IJ = 6

Step-by-step explanation:

This is a 30-60-90 triangle.

The ratio of the lengths of the sides is:

1 : sqrt(3) : 2

The short leg is the length of the long leg divided by sqrt(3).

The hypotenuse is twice the length of the short leg.

IK = JK/sqrt(3) = 3sqrt(3)/sqrt(3) = 3

IJ = 2IK = 2(3) = 6

Answer:

C

Step-by-step explanation:

That would be an isosceles triangle, therefore, acute. All angles measure 60, therefore being acute. I'm not 100% sure though.

Answer:

30° and 60°

Step-by-step explanation:

Step 1: Write out equation

x + (x + 30) = 90

Step 2: Solve for x

2x + 30 = 90

2x = 60

x = 30

Step 3: Find other angle

90 - 30 = 60

Answer:

30 and 60

Step-by-step explanation:

Let x be one  angle

x+30 is the other angle

Complementary angles add to 90

x+ x+30 = 90

2x+30 = 90

Subtract 30 from each side

2x=90-30

2x= 60

Divide by 2

2x/2 = 60/2

x = 30

The angles are 30 and 30+30 = 60

Answer: c

Step-by-step explanation:

Step-by-step explanation:

a^4  - a^4 = (a^2 +a^2)(a^2-a^2)

a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)

there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0

 i hope this will help you

Answer:

Hello There!

~~~~~~~~~~~~~~~

a² ÷ a⁴ × a² =

1

Step-by-step explanation: Simplify the expression.

Hope this helped you! Brainliest would be nice!

☆_____________❤︎______________☆

Answer: B) 6

Step-by-step explanation:

First let's distribute the left side of the equation.

k - 16 + 4k = -2(2k -1) + 6k

Then let's combine like terms on the left side of the equation.

5k - 16 = -2(2k - 1) + 6k

Then let's distribute the right side of the equation.

5k - 16 = -4k + 2 + 6k

Then let's combine like terms on the right side of the equation.

5k - 16 = 2k + 2

Then let's move all the x's to one side, and all the constants to the other.

3k = 18

Then divide both sides of the equation by 3.

k = 6

Hope it helps <3

Answer:

6

Step-by-step explanation:

k - 16 + 4k = -2(2k -1) + 6k

5k - 16 = -2(2k - 1) + 6k

5k - 16 = -4k + 2 + 6k

5k - 16 = 2k + 2

3k = 18

k = 6

Answer:

(i)[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii)P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv)P’U(M∩T’)={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Step-by-step explanation:

Given the sets:

ε = {x: 2 ≤ x ≤30, x is an integer}

M = {even numbers}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = {prime numbers}={2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

T = {odd numbers} ={3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}

(i)This is the union of sets M and P. (Do not repeat same elemnts)

[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T: This is the set M less elements in set T.

Since [tex]M \cap T =\{\}[/tex], the set M-T=M.

M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii) P∪(M∩T)

[tex]M \cap T =\{\}[/tex]

Therefore:

P∪(M∩T) = P

P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv) P’U(M∩T’)

Since T is the set of odd numbers, its complement will be the set of even numbers.

T'=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

M∩T’=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

[tex]P' =\{4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30\}[/tex]

Therefore:

P’U(M∩T’) = {4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30} U {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Answer:

Carla=14

Rosa=11

Step-by-step explanation:

let Carla as C and Rosa as R

C=R+3

C²+R²=317

substitute these two equations and take the positive number as the answer. bcuz age can't be in negative.

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

Answer:

Proved

Step-by-step explanation:

Taking R.H.S

=> [tex](x+y+z)[x(x+w^2y+wz)+wy(x+w^2y+wz)+w^2z(x+w^2y+wz)][/tex]

=> [tex](x+y+z)(x^2+w^2xy+wxz+wxy+w^3y^2+w^2yz+w^2xz+w^4yz+w^3z^2)[/tex]

Remember ∴ ω³ = 1

So we'll replace all ω³'s with 1

=> [tex](x+y+z)(x^2+y^2+z^2+w^2xy+wxy+w^2yz+w^4yz+w^2xz+wxz)[/tex]

=> [tex](x+y+z)[x^2+y^2+z^2+xy(w^2+x)+w^2yz+w^3*wyz+xz(w^2+w)][/tex]

Remember ∴ ω²+ω = -1

=> [tex](x+y+z)[x^2+y^2+z^2+xy(-1)+yz(w^2+w)+xz(-1)][/tex]

=> [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]

According to formula:

x³+y³+z³-3xyz = [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]

So, it becomes

=> [tex]x^3+y^3+z^3-3xyz[/tex]

Answer:

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Step-by-step explanation:

We are given the following points:

L(-5,15)

M(-12,-36) and

N(21,-11)

To find:

Reflection of the points across the y axis.

Solution:

To find the reflection of any point across y axis, we need to consider the y axis as the mirror and we need to find the location of the image in this manner.

Property of the image:

The image of point and actual point will be equidistant from the y axis.

If we find mirror image across y axis, there is change in only x coordinate value. There is no change in y axis value.

Let us take the first point:

L(-5,15)

x coordinate value -5 is on the left side of y axis.

The reflection will be 5 units on the right side of x axis

[tex]\therefore[/tex] L' (5, 15)

Let us take the second point:

M(-12,-36)

x coordinate value -12 is on the left side of y axis.

The reflection will be 12 units on the right side of x axis

[tex]\therefore[/tex] M'(12,-36)

Let us take the third point:

N(21,-11)

x coordinate value 21 is on the right side of y axis.

The reflection will be 21 units on the left side of x axis

[tex]\therefore[/tex] N'(-21,-11)

Please have a look at the attached figure for the points and their reflection.

Reflection triangles is shown as dotted line.

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.

Answer:

Step-by-step explanation:

6z⁶ - 21z⁴ - 12z² = 2*3*z⁶ - 3*7*z⁴ - 4*3*z²

                           = 3z² (2z⁴ - 7z² - 4)

Answer:

Segment AB || Segment CD

Step-by-step explanation:

Two lines are said to be parallel (||) if they do not meet, even when extended to infinity.

Given: <1 ≅ <3, ΔACD is an isosceles triangle.

Proof: Segment AB || Segment CD

From the diagram given,

AC ≅ AD (side property of isosceles triangle)

<3 = <4 (base angle property of an isosceles triangle)

<1 = <4 (alternate angle property)

Therefore, segment AB is parallel to segment CD.

Step-by-step explanation:

X = the number of cards in his location

[tex]31 = (x+5)/2\\\\Multiply\\\\62 = x+5\\\\Subtract\\\\x = 57[/tex]

Hope this helps <3

Answer:

x²+15x+26

Step-by-step explanation:

zeros are x=-13, x=-2

x=-13 then x+13=0

x=-2 then x+2=0

(x+13) (x+2)

x²+15x+26

y=ax²+bx+c

Step-by-step explanation:

The formulae for median is

N=£f/2 that is the sum of frequency divide by two

Median =Nth term + (N + 1)th term divide by two

first of all do the cumulative frequency which is

2+0=2

2+8=10

10+4=14

14+10=24

24+6=30

therefore N=£f/2

N=30/2

=15

when you use the formulae

it will be 15+(15+1)/2

then check the cumulative frequency the value close to the range of 15 and 16 which is 14

then you trace 14 back to the conceded goals

which is 2

then you add 2+2 and divide by two

which is= 2

therefore the median is 2

Mean

formulae

mean=conceded goals multiply by the frequency/sum of frequency

0*2=0.

1*8=8

2*4=8

3*10=30

4*6=24

total is 70

sum of frequency is 10

according to the formulae 70/10=7

therefore the mean is 7

Answer:

4.98

Step-by-step explanation:

Answer:

4.98

Step-by-step explanation:

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer would be 32% decrease

Here is the work:

56.95 / 83.75= 0.68

Now you have to take the answer and subtract....

You have to subtract 1.1 and the answer we got (.68)

1.1-.68

And that how we would get 32% decrease

= 32% decrease

Hope this helps!

By: xBrainly