Alia and Zarius are each reading the same book. Alia read 1/2 of the book on Monday. She read 1/3 of the book on Tuesday. Zarius read 4/8 of the book on
Tuesday and 1/4 on Monday. Zarius said he read more than Alia. Is he correct? Please explain why?

Answer:

Refer to the attachment for the labelling of the triangles.

In △ABC & △DEC,

∠C = ∠C [common angles → vertically opposite angles]

AC = CE [equal pair of sides]

BC = DC [equal pair of sides]

•°• △ABC ≅ △EDC (Single-Angle-Side congruence rule → SAS congruence rule.....the angle is included between the 2 equal sides).

Hope it helps ⚜

Step-by-step explanation:

Area=Length ×Width

so take 625×235=

which is..

146875 square cm

Answer:

I believe the answer is either B or D.

Step-by-step explanation:

if I had to choose I think your best choice would be B. But if you draw it on a graph there is a possibility it could be D. But I think your best choice is B.

So, what you need to do here is to first plot all the points on the coordinate plane. When you plot all the points, and connect them all together, you should be able to see a shape. When I plotted all your points, I got a parallelogram or a rectangle, which is most likely the correct answer here because it is more specific than saying a parallelogram. A parallelogram can be a square, rhombus, or any other shape that fits the characteristics of one, so saying "rectangle" is better.

Answer:

The soccer league can buy 105 soccer balls.

Step-by-step explanation:

I did $630 divided by $6 and got 105! :)

Find the cost of one pastry:

$12 / 6 pastries = $2 per pastry

the answer would be $2

Answer: The standard form a circle is (x−h)2+(y−k)2=r2 , where (h,k) is the center of the circle and r is the radius of the circle. Therefore, the center of the circle is at (2,4) and the circle has a radius of 5 .

Step-by-step explanation:

Answer:

3(4+5)

Step-by-step explanation:

just fill in the numbers for x and y

Answer:

3(x + y)

x = 4 y = 5

3(4 + 5)

12 + 15

= 27

Step-by-step explanation:

To get the lateral surface area, dana will subtract the two base area from the total surface area.

The total surface area of a rectangular prism is the sum of the areas of all of the faces or surfaces that enclose the solid. Therefore,

where

l = length

w = width

h = height

The lateral surface area of a rectangular prism is the surface area of the solid without the bases.

Therefore,

Total surface area = Lateral surface area + 2 (Base Area)

Total surface area =  2 (l + w) h + 2 (l x w) = 2lh + 2wh + 2lw

Therefore,

Lateral surface area = Total surface area - 2 (Base Area)

To get the lateral surface area, dana will subtract the two base area from the total surface area.

learn more on rectangular pyramid here: https://brainly.com/question/3096481

Answer:

The results are the opposite sign of x1 and x2.

[tex]lenght \: = (x - 8) \: and \: width \: = (x - 9)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 17x + 72 = 0[/tex]

[tex]Δ = {(17)}^{2} - 4(1 \times 72)[/tex]

[tex]Δ = 289 - 288 = 1[/tex]

[tex]x1 \: and \: x2 = \frac{17± \sqrt{1}}{2} [/tex]

[tex]x1 = \frac{17 + 1}{2} = 9[/tex]

[tex]x2 = \frac{17 - 1}{2} = 8[/tex]

Answer:

2 • (g - 2) • (4g + 3)

Step-by-step explanation:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

(23g2 - 10g) - 12

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

8g2 - 10g - 12 = 2 • (4g2 - 5g - 6)

Trying to factor by splitting the middle term

3.2 Factoring 4g2 - 5g - 6

The first term is, 4g2 its coefficient is 4 .

The middle term is, -5g its coefficient is -5 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3

4g2 - 8g + 3g - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

4g • (g-2)

Add up the last 2 terms, pulling out common factors :

3 • (g-2)

Step-5 : Add up the four terms of step 4 :

(4g+3) • (g-2)

Which is the desired factorization

Final result :

2 • (g - 2) • (4g + 3)

Answer:

I'm pretty sure it is C

Step-by-step explanation:

Answer:

2/25, 11%, 1/8

Step-by-step explanation:

Hopefully this is correct

Answer:

Turn them into decimals

Step-by-step explanation:

11% = 0.11

1/8 = 0.125

2/25= 0.08

0.08, 0.11, 0.125 I believe is the correct order.

Answer:

Step-by-step explanation:

1. (A) 96:38, 38:96, 96/38

(B) The two ratios are the same as they represent the same thing just reversed

2(A) 38:46

(B)  The simplest form means that you must simplify it and you get 19: 23

3 (A) For every 1 documentary movie there is 2 comedy movie

(B)For every3 kid movie, there is 4 horror movie

hope that helps, sorry for the simplified answers as I am in a bit of a rush too

Answer:

a) $32,000

b) 9/25

c) 36%

Step-by-step explanation:

Hello!

A) How much did you save?

Let's see. In order to find the savings, we must subtract the new price from the original.

You saved $32,000 (a pretty good deal!)

B)  What fraction of the original price was this?

To find the fraction, we must divide the new price from the original.

It's 9 twenty-fifths of the original price.

C) What fraction of the original price was this?

Convert the fraction to percent

Answer:

1.  -5 and -8

2. -7 and -4

3. -15 and -1

4. 7 and -2

5. -5 and 1

6. 2 and -5

7. -8 and 9

8. 5 and -4

Step-by-step explanation:

Answer:

the answer is 17.3 repeated

Step-by-step explanation:

because 52 divided by 3

Part (a)

x = number of adults

y = number of students

5x = amount all of the adults paid ($5 each)

2y = amount the students paid ($2 each)

5x+2y = total amount of money for adults and students combined

The total amount (5x+2y) must be more than $150

So we end up with 5x+2y > 150 as the inequality.

This inequality involves the boundary line 5x+2y = 150 which goes through the y and x intercepts of (0,75) and (30,0) respectively. We use a dashed line for the boundary to mean that points on the boundary are not included as solution points.

We shade above the dashed boundary line to finish off the graph.

Refer to figure (a) shown below.

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

Part (b)

x = number of adults

y = number of students

x+y = total number of people

120 seats is the max capacity so x+y cannot exceed this value.

x+y = 120 or x+y < 120

Or in short x+y ≤ 120 is the inequality

This involves the boundary line x+y = 120 which goes through the y and x intercepts of (0,120) and (120,0). We shade below the solid boundary line.

Refer to figure (b) shown below.

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

Part (c)

Now imagine we overlapped the blue region from part (a) and the red region from part (b)

We'll get the purple region shown in figure (c). At this point, I'm only considering cases when x ≥ 0 and when y ≥ 0. It's not possible to have a negative number of people, so that's why we focus on the upper right quadrant of the xy grid.

This purple region consists of all (x,y) points that make ALL of the inequalities to be true. Exclude any points on the dashed boundary.

For example, if we picked the point (x,y) = (50,40) then this point is in the purple region. We can confirm its a solution by checking each inequality.

5x+2y > 150

5*50+2*40 > 150

250+80 > 150

330 > 150  .... which is true

and,

x+y ≤ 120

50+40 ≤ 120

90 ≤ 120 ... which is also true

Furthermore, both x and y are nonnegative making x ≥ 0 and y ≥ 0 to be true as well. Every inequality mentioned is true for (x,y) = (50,40) to fully confirm the solution point. There are other possible solutions such as (40,60) and (80,20) which I'll let you verify.

If we stick to the (50,40) from earlier, then this means 50 adults and 40 students went to the concert.

Other answers are possible

Answer:

[tex]\rf x=\frac{\sqrt{10}}{4},\:x=-\frac{\sqrt{10}}{4}[/tex]

step wise explanation:

change sides:

simplify

change sides:

changing square to square root:

normal answer:

apply radical rule of

rationalise:

final answer, simplified:

Answer:

[tex]x = \boxed{ \frac{\sqrt{10}}{4} , - \frac{\sqrt{10}}{4} }[/tex]

Step-by-step explanation:

We can solve this question by using the method of finding the square root.

The given equation is:

[tex]8x ^ { 2 } -3=2[/tex]

Add 3 to both the sides of the equation.

[tex]8x^{2}=2+3[/tex]

Now, add 2 & 3 to get 5.

[tex]8x^{2}=5[/tex]

Dividing both the sides of the equation by 8, we get...

[tex]x^{2}=\frac{5}{8}[/tex]

Now, take the square root of both the sides of the equation...

[tex]x =\sqrt{ \frac{ 5 }{ 8 } } \\x = \frac{\sqrt{5}}{\sqrt{8}} \\[/tex]

Rationalize the denominator.

[tex]x = \frac{\sqrt{5}}{2\sqrt{2}} \\x = \frac{\sqrt{5}\sqrt{2}}{2\left(\sqrt{2}\right)^{2}} \\x = \frac{\sqrt{5}\sqrt{2}}{2\times 2} \\x = \frac{\sqrt{10}}{2\times 2} \\x = \boxed{ \frac{\sqrt{10}}{4} , - \frac{\sqrt{10}}{4} }[/tex]

[tex]\rule{200}{3}[/tex]

[tex]\rule{200}{3}[/tex]

Hope this helps!

Answer:

1.)  163

2.)  56

3.) 94

Step-by-step explanation

Because the angles are supplementary, it means they equal 180 degrees. Therefore, just use this equation to found the unknown angle.

180-(The Number you are given) = (The angle you want)

For Example,

180-86=94

Answer:

a = [tex]\frac{-7}{3}[/tex] (because point P is 7 units away from line x = 0, so point P' must also be 7 units away from the line in the other direction)

b = 2

Answer:

R23 470

because 3 is below 5 so =0

Answer:

12 cabins with 3 empty beds

Step-by-step explanation:

Closest multiple of 8 to 93 is 8*12=96

96-93=3 empty beds

Answer:

There will be 11 cabins with 5 extra beds.

Step-by-step explanation:

Answer:

(view picture)

Step-by-step explanation:

i got this from the answer section after getting it wrong the first time it’ll show the answer

Answer:

LM = 22

Step-by-step explanation:

11(44) = (LM)^2

484 = (LM)^2

LM = √484 = 22

Answer:

LM = 22

Step-by-step explanation:

If a tangent segment and a secant segment are drawn from an exterior point to a circle, then the square of the measure of the tangent segment is equal to the product of the measures of the external secant segment and the secant segment.

So for this circle,

So LM² = NM · OM

Given:

  LM² = 11 · 44 = 484

⇒ LM = √484 = 22

Answer:

The answer is C.) In order to get one kilometer, you have to have 1,000 meters.

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.