[tex]1. \frac{1}{3} + \frac{3}{2} + \frac{6}{5} - \frac{1}{2 = } [/tex]
[tex]2. \frac{7}{5} - \frac{4}{2} + \frac{4}{5} - \frac{3}{2} = [/tex]
[tex]3. \frac{9}{8} + \frac{7}{8} - \frac{6}{7} + \frac{8}{7} + \frac{1}{3} = [/tex]
[tex]4. \frac{11 }{8} + \frac{11}{5} + \frac{8}{5} - \frac{9}{6} - \frac{5}{3} = [/tex]
can you please solve it​

Answer: Option C is correct.

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

⇒ x/2 = 8

⇒ x = 8(2)

⇒ x = 16

⇒ x + 8 = 3x

⇒ 3x - x = 8

⇒ 2x = 8

⇒ x = 4

⇒ x = (x + 5)/2

⇒ 2x = x + 5

⇒ 2x - x = 5

⇒ x = 5

Answer:

[tex]\huge\boxed{\sf Speed = 77\ km/hr}[/tex]

Step-by-step explanation:

= 130 km

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

= 130 + 255

= 385 km

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

[tex]\rule[225]{225}{2}[/tex]

In order to prove that there are only four of these triangles, we need to first   restate the formula for the perimeter of a triangle which is given as:  P = a + b + c. Hence, we must identify all the triangles that have two or more equal sides, and each side is a whole number.

Step 1 - First, we state all the possible combination three whole numbers which when added together result in fifteen.

The numbers are given as:

Step 2 -  Eliminate options where a side is more than the sum of the other two sides

Hence,

are eliminated. The remaining triangles are four in number.

QED.

Learn more about triangles at:

https://brainly.com/question/17335144

#SPJ1

In other words,  x = 4 and y = 1

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

Explanation:

Add the equations straight down.

After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.

Use this x value to find y.

2x-y = 7

2(4)-y = 7

8-y = 7

-y = 7-8

-y = -1

y = 1

or

x+y = 5

4+y = 5

y = 5-4

y = 1

Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.

Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.

Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.

Answer:

The answer is 4

Step-by-step explanation:

The base of 4^5 is 4. The exponent is 5 and 9 & 20 do not work as we are not multiplying 4 and 5 to get 20.

Answer:

Your first step would be to rewrite the equation, were x =8 so it would look like this

Step-by-step explanation:

23 + 8/8 = ?

than solve. 8/ 8 = 1 and 23+1 = 24

Answer: The answer is 7

I did the math

Answer:

7

Step-by-step explanation:

11 - 8(12 + 6) / 6²

Rearrange using the order of operations.

11 - ((8 * (12 + 6)) / (6²))

((8 * (12 + 6)) = 144

(6²) = 36

(6²) / 144 = 4

(11 - 4)

= 7

Answer:

not equivalent

Step-by-step explanation:

solve for x to see if they are equivalent

1/2x-8=9 and x-8=18

1/2x=17

x=34

x-8=18

x = 36

no they are not equivalent

Answer:

see explanation

Step-by-step explanation:

a translation of 4 squares right means add 4 to the x- coordinate

a translation of 2 squares down means subtract 2 from the y- coordinate

then

(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )

(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )

(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )

Answer:

D. 75%

Step-by-step explanation:

100% - 25% = 75%

Answer:

D. 75%

Step-by-step explanation:

If 25% get into an accident then how many teenagers don't? :

100% - 25% = 75%

Have a great day! :)

The equation of the graphed function is given as follows:

g(x) = (1/7)^x - 4.

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The parent function for this problem is given as follows:

f(x) = (1/7)^x.

(which has an asymptote at y = 0).

The function was shifted down 4 units, meaning that the translated function is given as follows:

g(x) = (1/7)^x - 4.

And the correct option is given by the first option.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

Answer:

A

Step-by-step explanation:

Thats how the mean works lol

With the mean and range, we can estimate the weights of the smallest and largest animals in each group.

For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]

We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.

(Assuming a normal distribution).

Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:

(again, assuming a normal distribution).

If you want to learn more about means and ranges:

https://brainly.com/question/14532771

#SPJ1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

x and y are values that represent the angle made by respective arcs on centre of the circle

that is :

Here, Angle x + Angle z = 180°

[ because they form linear pair ]

Now, we can observe that angle made by Arc Y is equal to :

A real life example of an acute angle is the angle that's made in letter V.

It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.

In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.

Learn more about acute angles on:

brainly.com/question/17335144

#SPJ1

Answer:9

Step-by-step explanation:

Use the pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]

We know both a and c, so it becomes

[tex]4^{2}+b^{2}=\sqrt{97}^{2}[/tex]=

16+b^2=97=

97-16=b^2=

81=b^2=

9=b

The value of x  in order for the two slats to be parallel is 6.

The measure of the indicated angle is 42°

What is an angle?

The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.

For the slats to be parallel. both the given angles must be equal

So,

(3x +24)° = 7x°

Solving this expression, we get

7x -3x = 24

4x =24

x = 6°

The measure of the indicated angle is

(3x +24)° = 3x6 +24

(3x +24)° = 18+24

(3x +24)°  =42°

and 7x = 7x6 =42°

Thus, the measure of the angle is 42°

Learn more about angle.

https://brainly.com/question/13954458

#SPJ1

Answer:

answer is A - library books by genre and by Adult or Child

Step-by-step explanation:

your column on the left will have different genre of books

your top column will have children or adults

On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. While traveling in a train, it appears that the trees near the track are moving whereas co-passengers appear to be stationary.

When measuring, scientists use a shared system of measurement, called the International System of Units (SI). Physical science is concerned with the study of natural but non-living objects.

If 6 tyrannosaurs weigh 30,000 kg, the weight of one tyrannosaur will be;

= 30000/6

= 5000kg

Learn more about measurements on:

https://brainly.com/question/25716982

#SPJ1

Answer:
Option c

Step-by-step explanation:

Since tangent = op/adj, in this case the tan37 would be x/1000.

Then, set it up as an algebra problem.

tan37 = x/1000

Multiply both sides by 1000, so 1000tan37=x

that simplifies to x = 753.6

Answer:

[tex]62^\circ[/tex]

Step-by-step explanation:

This is a cyclic quadrilateral (all points of the quadrilateral are on the circle), meaning opposite angles are supplementary (add up to [tex]180^\circ[/tex]).

[tex]\angle D[/tex] is opposite [tex]\angle B[/tex], which is equal to [tex]118^\circ[/tex]. This means [tex]\angle D[/tex] is equal to [tex]180^\circ - 118^\circ[/tex], which is [tex]\boxed{62^\circ}[/tex].

Answer:

1.4375

Step-by-step explanation:

[tex]\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\[/tex]

[tex]\frac{10 + (6)^{2} /4}{8} \\[/tex]

[tex]\frac{10 + 36 / 4}{8} \\[/tex]

[tex]\frac{46 /4}{8} \\[/tex] = [tex]\frac{11.5}{8} \\[/tex]

Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.

Scale factor is simply a measure for similar figures, who look the same but have different scales or measures.

To get new dimension;

New dimension = scale factor × current dimension

Given that;

New dimension = scale factor × current dimension

New length of the bedroom = 112 × 9ft

New length of the bedroom = 1008ft

Therefore, given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.

Learn more about scale factor here: https://brainly.com/question/22312172

#SPJ1

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{-5 -4}{3 +2}\implies \cfrac{-9}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{9}{5}}(x-\stackrel{x_1}{(-2)})\implies y-4=-\cfrac{9}{5}(x+2) \\\\\\ y-4=-\cfrac{9}{5}x-\cfrac{18}{5}\implies y=-\cfrac{9}{5}x-\cfrac{18}{5}+4\implies y=-\cfrac{9}{5}x+\cfrac{2}{5}[/tex]

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

[tex]\mu = 3, \sigma = 0.87[/tex]

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

2 % amount = 12000     7% amount = 1000 dollars

Step-by-step explanation:

x = 2% amount

 then  13 000 - x  = 7% amount

.02x   + .07 (13000-x)  = 310

-.05x + 910 = 310

.05x = 600

x = 600/.05 = 12000      then the 7% amount is 1000