Find x so that a is parallel to b. state the converse used​

Answer:

each bottle of juice costs $2.34

Step-by-step explanation:

2.74+10x=26.14

10x=26.14-2.74

10x=23.40

x=23.40/10

x=2.34

If the sum of the two smallest sides of a triangle are less than the third side, then the triangle cannot be constructed, since the sides would not be able to touch. However, since 35+120 is greater 125, this triangle can be formed

Answer:

57.5

Step-by-step explanation:

Recognize our numbers

3,5,34.50

Three uniform shirts sell for 34.50

34.50/3

=11.5

How much will five cost?

5x11.5

=57.5

Hope this helps!

Answer:

55.25

Step-by-step explanation:

1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.

34.50 / 3 = 11.05

2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.

11.05 * 5 = 55.25

= $55.25p

Answer:

B

Step-by-step explanation:

On edge

The probabilities is the greatest for a standard normal distribution is

P(-0.5 ≤ z ≤ 0.5) = 0.382.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.

From the diagram attached below, we can write

1. P( -1.55 ≤ z ≤ -0.5)

= 0.092 + 0.15

= 0.242

or, 9.2%+15%=24.2%.

2. P( -0.5 ≤ z ≤ 0.5)

= 0.191 + 0.191

= 0.382

3. P( 0.5 ≤ z ≤ 1.5)

= 0.15 + 0.092

= 0.242

4. P( 1.5 ≤ z ≤ 2.5)

= 0.044 + 0.017

= 0.061

So, the greatest value is P(-0.5 ≤ z ≤ 0.5) = 0.382

Learn more about Normal Distribution here:

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One axis is used for kilograms, the other for pounds. When the x-axis is kilograms, the line includes points (1, 2.2), (2, 4.4), and (3, 6.6). The graph is a straight line that passes through the origin. The line is straight because unit conversions are proportional.

Answer:

100 i think

Step-by-step explanation:

Answer:

inequality 1 has a solution of 5

Step-by-step explanation:

Answer:

T = 41

Step-by-step explanation:

Rohan's weight  = t+6

Rahul's Weight  = t+6+7 = 54

t = 54 - 6 - 7

t = 41

Answer:

Step-by-step explanation:

70(10/100)=7 broken cookies.

7/70=1/10 is the fraction broken

(70-7)/70=63/70 is the fraction remaining whole

Answer:

(a) 1/7 are broken

(b) 6/7 remain whole

Step-by-step explanation:

70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)

Answer:

C) (8, 11)

Step-by-step explanation:

8+3=11.

Answer:

5x-2x

Step-by-step explanation:

4x-x = 3x

so,

5x-2x = 3x

The equivalent expression would be; 5x-2x

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We are given that the expression as; 4x - x

We need to find an equivalent expression.

Therefore, solving further;

4x-x = 3x

Thus, we can also create one expression as;

5x-2x = 3x

Learn more about expression here;

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Answer:

-x

Step-by-step explanation:

rearrange the terms by adding or subtracting the same thing from both sides:

[tex]x+y=5\\y = 5 - x\\y - 5 = -x[/tex]

Answer:

51

Step-by-step explanation:

There are 14 movie theaters, and 3 exits each.

You can multiply 14 by 3 to get the number of exits in the movie theaters combined.

Next, the food area has 9, so you add 9 to the 42.

42 + 9 = 51.

Hope this helps!

Answer:

there are 51 exits

Step-by-step explanation:

Answer:

-5x^6 - 2x^5 + 4x^2 + 3x + 3

Step-by-step explanation:

Combine like terms from each of the polynomials.

(8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)

(8x^2 - 4x^2) + (5x - 2x) + (3) + (-5x^6) + (-2x^5)

(4x^2) + (3x) + (3) + (-5x^6) + (-2x^5)

Then, order them by degree.

-5x^6 -2x^5 + 4x^2 + 3x + 3

Answer:

13830

Step-by-step explanation:

the amount of water that was left is 16500, so substract it to the added amount of water which is 12700, then add 10300 which is the amount of water that the village consumed. 16500-12700=3800+10300=13830

Answer:

(1,1)

x=1  y=1

Step-by-step explanation:

When you solve by substitution, you have to isolate each equation Hope this helps.

Answer:

x = 20°

y = 160°

z = 160°

Step-by-step explanation:

x = 20°

(Measure of arc is equal to the measure of its corresponding central angle)

z = 180° - 20°

(Linear pair angles)

z = 160°

y = z

(Measure of arc is equal to the measure of its corresponding central angle)

y = 160°

Answer:

Step-by-step explanation:

Mean=38+-31+26+0+31+-23/6=31/6

Median=26+0/2=13

Mode=none

Answer:

it's A because all of those numbers are less than 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

given

6n - 10

Take 2 as common then

2 ( 3n - 5 )

hope it helps  :)

Answer:

2(3n-5)

Step-by-step explanation:

You need to find the highest common factor (2 in this case).

When the word factorise is mentioned that means there has to be brackets in your answer.

After the highest common factor is found then divide the numbers by it. for example, 6÷2 and -10÷2.

Hope that helps!!

the answer is 659 because if x = 5 that means 25x25 = 625

and if y = 2 then 625 + 52 = 677

and then 677-18 = 659

Problem solved

Answer:

[tex]a=\dfrac{1}{5}[/tex] and b = 1

Step-by-step explanation:

Given that,

[tex]\dfrac{1}{5}+\sqrt7=a+b\sqrt7[/tex]

We need to find the value of a and b.

We should compare both sides of the above equation i.e.

[tex]a=\dfrac{1}{5}[/tex]

and

b = 1

Hence, the values of a and b are 1/5 and 1 respectively.

Answer:

4,400=m•5,000 and 88%

Answer:

The cost of the mug is of $6.50.

Step-by-step explanation:

The cost of the mug and r refills is given by the following equation:

[tex]C(r) = 2.3r + 6.5[/tex]

Cost of the mug:

The cost of the mug is found when no refills are bought, that is, C when [tex]r = 0[/tex], which is [tex]C(0)[/tex]

[tex]C(0) = 2.3*0 + 6.5 = 6.5[/tex]

The cost of the mug is of $6.50.

Answer:

6.75 ft^2

Step-by-step explanation:

The area of the seat can be calculated as follows

a + b/2 × h

6+3/2 × 1.5

9/2 × 1.5

4.5× 1.5

= 6.75 ft^2

Hence the area of the seat is 6.75ft^2

Step-by-step explanation:

Answer:25.1

Step-by-step explanation:

Answer:

4.33 i think im not to sure

Step-by-step explanation:

math

Answer:

[tex]P(x=3) = 0.1318[/tex]

Step-by-step explanation:

The question illustrates a binomial distribution and the given parameters are:

Given

[tex]n = 6[/tex] -- sample size

[tex]p = 0.75[/tex] --- probability of success

[tex]r = 3[/tex] --- half of the participant

Using the binomial probability formula, we have:

[tex]P_x = ^nC_xp^x(1-p)^{n-x}[/tex]

For x = 3, the probability is:

[tex]P(x=3) = ^6C_3*0.75^3 * (1-0.75)^{6-3}[/tex]

[tex]P(x=3) = 20*0.75^3 * 0.25^3[/tex]

[tex]P(x=3) = 0.1318[/tex]

Answer:

b. 36 years

Step-by-step explanation:

Today

Nirmala = x years

Rahul = 3x years

In 13 years

Nirmala = 3x + 13 years

Rahul = 2(x+13) - 1

3x + 13 = 2(x+13) - 1

3x + 13 = 2x + 26 - 1

3x + 13 = 2x + 25

3x - 2x = 25 - 13

x = 12

Nirmala = x years

= 12 years

Rahul = 3x years

= 3(12)

= 36 years

The age of Rahul today is 36 years

Answer:

44 ft

Step-by-step explanation:

Formula: L + L + W + W = P

16ft + 16ft + 6ft + 6ft = 44