Factor the expression completely. 1/4 +11/4

Answer:

a

Step-by-step explanation:

it can be solved

Answer:

C.

Step-by-step explanation:

So,the length of rectangle is 24 cm

The breadth of rectangle is 18 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

It represents the price that ray is actually paying. Instead of paying for 100% of the price, he is now only paying for 90%

Step-by-step explanation:

Answer:$4

Step-by-step explanation: $23 -$3= $20. Then you divide $20 by the number of sandwiches you have: 20/5= $4 per sandwich

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It makes more sense if you think about it in numerical terms.

Say if there were 10 eggs per carton and there were 5 cartons, what would you do to find the total?

You would multiply them

It is the same in this case

The expression would be n x k

It can be written as just nk though

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Answer:

k cartons = total number of eggs

1 carton = n eggs

Step-by-step explanation:

Answer: w=2r

Step-by-step explanation:

so let say the amount of water is y instead of w and the cup of rice is x instead of r.

so if we were to create a table we use the numbers given

x     y

1      2      so as the cup of rice increase by 1 cup the amount of water increase

2     4       by two.

3       6       so we know the slope is 2/1 so  the equation is w=2r  

Answer: 12

Step-by-step explanation:

If you subtract 6 dollars from 50, you’ll get 44. 44 minus 12 three times is equal to 8

Answer:

$12

Step-by-step explanation:50-6

50-6-3(x)=8

44-3x=8

-3x=8-44

3x=36

36/3=12

Answer:

c

Step-by-step explanation:

I think this is right

Answer:

The answer is 10

Step-by-step explanation:

The answer is 10 because you asked how long it would take for them to work altogether,3hrs + 7hrs is 10hrs

Answer:

x = 5/2            x = 1/3

Step-by-step explanation:

(2x - 5)(3x - 1) = 0

Using the zero product property

2x- 5 = 0        3x-1 = 0

2x =5           3x = 1

Divide

x = 5/2            x = 1/3

Answer:

6x^2-17x+5

Step-by-step explanation:

Answer:

The height equation is:

h(t)=-16t^2 +100t+10

A) To find the maximum height, we must find the time where the velocity is 0, so we must derive it with respect to the time.

v(t) = -2*16*t + 100 = 0

       t = 100/(2*16) = 3.125s

Now we put this time in our height equation:

h(3.125s) = -16*3.125^2 + 100*3.125 + 10 = 166.25 ft.

B) The lowest heigth of the potato will be h = 0ft, when the potato hits the ground.

C) the lowest time that works for that function is t = 0s, when the potato is fired by the gun.

D) the maximum time can be finded when the potato hits the ground, afther that point the equation does not work anymore, let's find it,

h(t) = 0 = -16t^2 +100t+10

we can solve it using Bhaskara's equation:

[tex]t = \frac{-100 +- \sqrt{100^2 +4*16*10} }{-2*16} = \frac{-100 +- 103.2}{-32}[/tex]

So the two solutions are:

t = 6.3s

t = -0.1s

We need to chose the positive time, as we already discused that the minimum time that works for the equation is t = 0s.

so here the answer is t = 6.3s

E) the domain is  0s ≤ t ≤ 6.3s

The range is 0ft ≤ h ≤ 166.25 ft.

Answer:

The correct option is;

The data for suitcase 1 have an outlier but the data for suitcase 2 does not

Step-by-step explanation:

Range of a box plot

Interquartile range (IQR) for bot suitcases we have

Here we have for suitcase 1

IQR = Q₃ - Q₁ = 12 - 8 = 4

For suitcase 2

IQR = Q₃ - Q₁ = 18 - 5 = 13

Lower outlier = Q₁ - 1.5×IQR

Higher outlier = Q₃ + 1.5×IQR

For suitcase 1 we have;

Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)

Higher outlier = 12 + 1.5×4 = 18

Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier

For suitcase 2 we have;

Lower outlier = 5 - 1.5×13 = -14.5  (No lower outlier)

Higher outlier = 18 + 1.5×13 = 37.5

Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.

Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.

Answer:A

Step-by-step explanation:

took the test

Answer:

In set theory, the power set (or powerset) of a a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this is the combination of all subsets including null set, of a given set

Answer:

18,920.00

Step-by-step explanation:

discount = x

original price = $20,000

discount% = 5.4%

x/20,000 = 5.4/100

x · 100 = 5.4 · 20,000

100x = 108,000

100x/100 = 108,000/100

x = $ 1,080.00

Sale price = original $ - discount $ = final answer

$20,000 - $1,080 = $18,920.00

Answer:1,080

Step-by-step explanation:

20,000 x .54 equals $1,080

Answer:

3

Step-by-step explanation:

in slope-intercept form, the slope is the x's coefficient, which in this case is 3,

so, m=3

Answer:

yes it can

Step-by-step explanation:

yes

Answer:

No

Step-by-step explanation:

You need to use the Pythagorean Theorem.  This will show you if the ratio between the sides is accurate.

a² + b² = c²

8² + 11² = 13²

64 + 121 = 169

185 ≠ 169

The measurements will not fit in a right triangle.

Answer:

A

Step-by-step explanation:

Basically we want to find the point that lies in the shaded area and the only one that does so is (2,3).

Answer: A

Step-by-step explanation:

we gotta find the line in the shaded area and

acording to the question the answer must be  (2,3).

Hope this helps :)

Answer:

Line JI (Option D)

Step-by-step explanation:

Always take the 2 points of the line to name the line.

Answer:

  D.  JI

Step-by-step explanation:

The line can be named any of ...

Of these, JI is on your choices list.

Answer:

3. From the graph, g(0) = -1.

4. t(x) = 2x + 5

   t(0.5) = 2(0.5) + 5 = 1 + 5 = 6

   g(6) = 0 (from graph)

5. 15 = 2x + 5

    2x = 10

      x = 5

6. g(1) = 0

   t(0) = 5

7. t(1) = 7

   g(7) = -2

Answer:

True

Step-by-step explanation:

I'm not 100% but 90%

It is true that the triangles shown in the diagram are congruent triangles.

Two triangles are considered to be congruent triangles if two triangles have similar sizes and shapes. This implies that two triangles are defined to be congruent if the lengths of their individual sides and angles are the same.

The angle-angle-side (AAS) theorem states that when two angles and any side of a triangle are identical to two angles and any side of some other triangle, then the triangles are considered to be congruent triangles.

Therefore, since these assertions are true of the triangles given, we can conclude that the two triangles are congruent triangles.

Learn more about congruent triangles here:

https://brainly.com/question/27222633

#SPJ2

Answer:

A and D

Step-by-step explanation:

Answer:

When x = 1 or -1.

Step-by-step explanation:

When the denominator x^2-1 is zero the expression is undefined.

So the values of x cannot be  1  or -1.

Answer:

The answer would be D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

£42.04 is the correct answer.

Step-by-step explanation:

Cost of pack of 15 bread rolls = £1.91

Cost of pack of 20 cheese slices = £2.23

She has to buy exactly twice as many cheese slices as bread rolls.

She has to make more than 100 cheese sandwiches.

Number of bread rolls required for 100 bread rolls.

Minimum 15[tex]\times[/tex]7 = 105 bread rolls are to be bought.

105 bread rolls mean 210 cheese slices but it is a pack of 20 cheese slices.

So, at least 220 cheese slices can be bought.

But, 220/2 = 110 bread rolls are not possible to be bought.

So, at least 120 (15 [tex]\times[/tex] 8 i.e. 8 packs) bread rolls have to be bought and 120 [tex]\times[/tex] 2 = 240 (20 [tex]\times[/tex] 12 i.e. 12 packs) of sandwiches have to be bought.

So, minimum amount to be spent for at least 100 cheese sandwiches

= 1.91 [tex]\times[/tex] 8 + 2.23 [tex]\times[/tex] 12 = £42.04

Answer:

£42.04

Step-by-step explanation:

Answer:

Each ring costs $.18

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

g = 3/2

Step-by-step explanation:

−4g+8−5+ 2g

−4g+ 2g +8-5

-2g + 8 -5

-2g +3

2g = 3

g = 3/2

g = 1 1/2

Answer:

Step-by-step explanation:

A. Model is linear

B. y = -16x - 16

(-3, 32) (-2, 16)

(16-32)/(-2 + 3) = -16/1= -16

y - 32 = -16(x + 3)

y - 32 = -16x - 48

y = -16x - 16

Answer: $36.8

Step-by-step explanation:

From the question, we are told that Brady and 3 friends went to lunch at Mazzio’s Pizza and that their meal cost $32, and they left a 15% tip. Their total bill will be $32 plus 15% of $32. This can be written mathematically as:

= $32 + (15% of $32)

= $32 + (15/100 × $32)

= $32 + (0.15 × $32)

= $32 + $4.8

= $36.8

Their total bill is $36.8