Part A
The number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators
NTS
(a)
a
0 1 2.
+ +
2 2 2
1
2
b.
0 1 2 3
+
3
+ +
3 3
3
2.
Seven
C
0 1 2.
7
+ +
7
7 7
+ ...
4
7
d.
0
1
+
10 10
-+
2
10
+...
10 10
5
10
Based on this pattern, which equation will have a sum that is a whole number? Select the correct answer.
、
wa
A 0 1 2
+
5 5
+
= 1
B
1 2 6
+ +
6
6 6
с
0 1
2 2 8
+
8
8 8 8
1 2
12
+ + +
12 12 12 12
DON on
- + +
160
on 16 ICOS
OIN
--
NIN
---

ANSWER

x+y)^2=x^2+y^2+2xy -eq1

because

first we will take the LHS of eq1, i.e,

(x+y)^2

(x+y)(x+y)

x(x+y)+y(x+y)

x^2+xy+xy+y^2

x^2+2xy+y^2

Or

x^2+2xy+y^2

Hence, LHS=RHS

Answer:

61

Step-by-step explanation:

We see that the triangle is isosceles as the two sides of it are 6.

In an isosceles triangle, you have two sides that are the same and two angles that are the same.

The two congruent angles will be opposite to the congruent sides.

So, we know that both angles must be x.

The Angles of a triangle add up to 180 degrees.

2x + 58 = 180

2x = 122

x = 61 ddegrees

Solution:

We know that:

We can see that the two lines of the triangle are equivalent.

This means that:

Equation created: 58 + x + x = 180

Simplify the LHS.

Subtract 58 both sides.

Divide 2 both sides.

[tex]\longrightarrow[/tex] This problem can be tackled by using distributive property of multiplication .

It states for any three numbers a,b and c

[tex]\green{ \underline { \boxed{ \sf{(a±b)\times c = a \times c±b\times c}}}}[/tex]

Similarly,

[tex]\quad[/tex]23 × 45

[tex]\longrightarrow[/tex](21+2) ×45

[tex]\longrightarrow[/tex]21×45+2×45

[tex]\longrightarrow[/tex]945 + 90

[tex]\longrightarrow[/tex] 1035

It can also be done as-

[tex]\quad[/tex]23 × 45

[tex]\longrightarrow[/tex](25-2) ×45

[tex]\longrightarrow[/tex]25×45-2×45

[tex]\longrightarrow[/tex]1125-90

[tex]\longrightarrow[/tex] 1035

Answer:

40  7/10 is larger

Step-by-step explanation:

Answer:

7/10 of 40.

Step-by-step explanation:

It would be 7/10 of 40 because do you know what they equal because I bet If I Said what they equal it would be easier for you.

7/10 or 70% of 40=28

And for 2/3 or 66.67 of 36=24 so 28 is a bigger number than 24 so 7/10 of 40 is bigger.

hope this helps have a great day:)

Answer:

5/6

Step-by-step explanation:

1/3 x 1/5 = 8/15 then add to 3/10 and you get 5/6 simplifed

The sum of 1/3, 1/5, and 3/10 is 5/6.

Based on the given conditions, formulate 1/3 + 1/5 +3/10

To estimate the common denominator and note the numerators above the common denominator, then we get

10 + 6 + 9/30

Calculate the sum or difference in the above equation, we get

10 + 6 + 9/30 = 25/30

Decrease the fraction to the lower term by canceling the greatest common factor, we get

25/30 = 5/6

To learn more about simplest form of fraction

https://brainly.com/question/871570

#SPJ2

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ( multiply numerator/ denominator by 2 )

= [tex]\frac{4}{6}[/tex]

Answer:

coin=50%

dice=16.67%

Step-by-step explanation:

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have

But,

Let the width of the uniform strip of the floor be x

So, The new dimensions of the room will be

We know that,

Area of rectangle

[tex]\bold{\red{ = Length} }{\bold{\red{\times{ Breath}}}}[/tex]

Subsitute the required values,

[tex]\sf{ ( 19 - 2x) }{\sf{\times{(26 - 2x) = 330}}}[/tex]

[tex]\sf{19(26 - 2x) }{\sf{\times{ - 2x (26 - 2x) = 330}}}[/tex]

[tex]\sf{ 494 - 38x - 52x + 4x^{2} = 330 }[/tex]

[tex]\sf{ 494 - 38x - 52x + 4x^{2} = 330 }[/tex]

[tex]\sf{ - 90x + 4x^{2} = 330 - 494 }[/tex]

[tex]\sf{ - 90x + 4x^{2} = - 164 }[/tex]

[tex]\sf{ 4x^{2} - 90x + 164 = 0 }[/tex]

[tex]\sf{ 4x^{2} - 82x - 8x + 164 = 0 }[/tex]

[tex]\sf{ 2x( 2x - 41 ) -4( 2x - 41 ) = 0 }[/tex]

[tex]\sf{ (2x - 4) ( 2x - 41) = 0}[/tex]

[tex]\sf{ x = 2 , x = }{\dfrac{41}{2}}[/tex]

Length of the rug

[tex]\sf{ (19 - 2x) = 19 - 2(2)}[/tex]

[tex]\sf{ = 19 - 4}[/tex]

[tex]\sf{ = 15\: feet}[/tex]

Breath of the rug

[tex]\sf{ (26 - 2x) = 19 - 2(2)}[/tex]

[tex]\sf{ = 26 - 4}[/tex]

[tex]\sf{ = 22\:feet}[/tex]

Hence, The dimensions of the rug are 15 feet and 22 feet.

Answer:

$1.40

Step-by-step explanation:

you just divide 25.20 by 18 (6 friends x 3 items) and thats it

Answer:

78 + b

Step-by-step explanation:

he had 78 and he added the unknown amount or b

pls mark brainliest

Answer:

B

Step-by-step explanation:

Monomial is all about one algebra

The greatest increase occurred in week 4 and 5, as there was an increase of 6

we have given that,Week 1, 8; Week 2, 11; Week 3, 10; Week 4, 14; Week 5, 20; Week 6, 24; Week 7, 21; Week 8, 22; week 9, 18; Week 10, 18; Week 11, 16.

Formula for difference is,

[tex]difference =week 1-week 2[/tex]

Therefore by using formula we get,

Week 1 and 2

Week 1: 8

Week 2: 11

11-8=3

Week 4 and 5

Week 4: 14

Week 5: 20

20-14=6

Week 5 and 6

Week 5: 20

Week 6: 24

24-20=4

Week 8 and 9

Week 8: 22

Week 9: 18

22-19=4

Therefore,the greatest increase occurred in week 4 and 5, as there was an increase of 6

To learn more about the difference visit:

https://brainly.com/question/148825

The sum of the angle of the triangle is 180 degrees. Then the measure of angle ∠2 is 98°.

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Lines y and z are parallel.

The parallel lines are cut by transversals s and t.

The angles are formed by lines s, t, and y be (10x + 5), a, (4x – 7).

∠1 and (10x + 5)° are equal because they are corresponding angles.

And ∠1 and 65° are equal because they are supplement angles.

Then we have

(10x + 5)° = 65°

        10x = 65 - 5

        10x = 60

            x = 6

Then we have

(10x + 5)° = 10 × 6 + 5 = 65°

(4x – 7)° = 4 × 6 – 7 = 17°

We know that the sum of internal angles of the triangle is 180 degrees. Then we have

∠2 + 65° + 17° = 180°

       ∠2 + 82° = 180°

                ∠2 = 98°

The measure of angle ∠2 is 98°.

More about the angled link is given below.

https://brainly.com/question/15767203

Answer:

The answer is 28 degrees.

Step-by-step explanation:

None needed, it's right.

Answer:

7/9

Step-by-step explanation:

1/9 + 2/3=

Answer:

AC = 8.7 cm (nearest tenth)

Step-by-step explanation:

Given:

To find AC:

[tex]\implies \tan(30)=\dfrac{5}{b}[/tex]

[tex]\implies b=\dfrac{5}{\tan(30)}[/tex]

[tex]\implies b=5\sqrt{3}[/tex]

⇒ b = 8.7 (nearest tenth)

Therefore, the length of AC is 8.7 cm (nearest tenth)

[tex]\\ \rm\Rrightarrow tan30=\dfrac{5}{b}[/tex]

[tex]\\ \rm\Rrightarrow 1/\sqrt{3}=5/b[/tex]

[tex]\\ \rm\Rrightarrow b=5\sqrt{3}[/tex]

[tex]\\ \rm\Rrightarrow b=8.66=8.7cm[/tex]

Answer:

2 Triangles can be made with the given measurements

Step-by-step explanation:

Start by solving for side b

b = 9/sin33 = appr 16.5

9<15<16.5 there are two possible triangles

sin33/15 = sinB/16.5 = sinB=(16.5sin33)/15

B=36.9, 180-36.9=143.1 Next determine if the angles are correct

36.9+33=69.9 143.1+33=176.1 Both of these are less than 180, two triangles can be drawn.

Answer:

4

Step-by-step explanation:

because 5 times 5 is 25 which 25 is how many cards fit in one section so 100-25=75 and so you could say that 100 divided by 25 is 4 so he will need 4 sections hope you find this helpful! :D

Answer:

Attached is what the graph should look like

Step-by-step explanation:

Answer:

reflection across BC and translation 4 units right

Step-by-step explanation:

Answer:

Just get a new drink.

Get her the similar one or any drink of her choice.

Answer:

[tex]\left(2x-3\right)^2[/tex]

Step-by-step explanation:

[tex]4x^2-12x+9[/tex]

[tex]\mathrm{Rewrite\:in\:the\:form\:of}\:a^2+2ab+b^2:[/tex]

[tex]4x^2=(2x)^2[/tex]

[tex]9=3^2[/tex]

[tex]-12x=-2\cdot 2x\cdot 3[/tex]

[tex]=\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2[/tex]

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \:a^2-2ab+b^2=\left(a-b\right)^2[/tex]

[tex]\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2=\left(2x-3\right)^2[/tex]

[tex]=\left(2x-3\right)^2[/tex]

~Learn with Lenvy~

[tex]\\ \rm\Rrightarrow 4x^2-12x+9[/tex]

[tex]\\ \rm\Rrightarrow (2x)^2-2(2x)(3)+3^2[/tex]

So

[tex]\\ \rm\Rrightarrow (2x-3)^2[/tex]

[tex]\\ \rm\Rrightarrow (2x-3)(2x-3)[/tex]

Answer:

x = -1 or x = 4

Step-by-step explanation:

[tex]x^2-2x-1=x+3[/tex]

subtract [tex]x[/tex] from both sides:

[tex]\implies x^2-2x-1-x=x+3-x[/tex]

[tex]\implies x^2-3x-1=3[/tex]

subtract 3 from both sides:

[tex]\implies x^2-3x-1-3=3-3[/tex]

[tex]\implies x^2-3x-4=0[/tex]

factor:

[tex]\implies x^2+x-4x-4=0[/tex]

[tex]\implies x(x+1)-4(x+1)=0[/tex]

[tex]\implies (x-4)(x+1)=0[/tex]

Therefore,

[tex]x-4=0 \implies x=4[/tex]

[tex]x+1=0 \implies x=-1[/tex]

Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.

At the null hypothesis, we test if there is no difference, that is:

[tex]H_0: \mu_A - \mu_B = 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is:

[tex]H_1: \mu_A - \mu_B = 0[/tex]

For each sample, we have that:

[tex]\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2[/tex]

[tex]\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4[/tex]

For the distribution of differences, we have that:

[tex]\overline{x} = \mu_A - \mu_B = 73 - 74 = -1[/tex]

[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447[/tex]

It is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{-1 - 0}{0.447}[/tex]

[tex]t = -2.24[/tex]

Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.

Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.

More can be learned about the t-distribution at https://brainly.com/question/16313918

Answer:

its the 3rd one :

Step-by-step explanation:

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation

this is because the equation is y^1 - y^2 / x^1 - x^2

brainiest

Answer:

17 rows

Step-by-step explanation:

We know that f(x) = 2x² - 10x models the total number of spaces and x models the number of rows.

Since we are given the total number of spaces of 408. We let f(x) = 408

2x² - 10x = 408

Now we solve as a quadratic, subtract 408 to both sides

2x² - 10x - 408 = 0

Divide 2 on both sides

x² - 5x - 204 = 0

We look for terms that multiply to -204 and add to -5.

Those terms are -17 and 12

x² - 17x + 12x - 204 = 0

x(x-17) + 12(x-17)

(x+12)(x-17)

x = -12 x = 17

We can not have -12 rows but we can have 17 rows.

17 rows is the answer.

Definition of X-intercept: a point where the y-value of the point is equal to 0

  [tex]5x - y = 10\\5x - 0 = 10\\5x = 10\\x = 2[/tex]

Therefore the x-intercept is (2,0).

Definition of Y-intercept: a point where the x-value of the point is equal to 0

 [tex]5x - y = 10\\5(0)-y = 10\\-y = 10\\y = -10[/tex]

Therefore the y-intercept is (0,-10).

Hope that helps!

Answer:

revenge time

Step-by-step explanation:

Answer:Between 1 and 1 1/2 pounds. (_8__)

Between 2 and 2 1/2 pounds. (_1_)