What is the first step in solving 11x+1=67

The length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

a² + b² = c² (Pythagoras theorem)

where, c is the hypotenuse (longest length) of a triangle.

And a and b are the two other side of the triangle excluding the longest one.

Let x be the length of the missing leg of the given right triangle.

x² + 5² = 13²

x² = 13² - 5²

x² = 169 - 25

x² = 144

x = √144

x = 12

Hence,  the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.

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Answer:

9(19)+13z=17

171+13z=17

13z=171-17

Z=154/13 is the answer

Step-by-step explanation:

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Answer:

z = -154/13

Step-by-step explanation:

1.) Add the numbers

9(2+17)+13=17

9(19) = 13z = 17

2.) Multiply the numbers

9 x 19 + 13z = 17

171 + 13z = 17

3.) Rearrange terms

171 + 13z = 17

13z + 171 = 17

4.) Subtract 171 from both sides of the equation

13z + 171 = 17

13z + 171 - 171 = 17 - 171

5.) Simplify

13z = -154

Solution

z = -154/13

Answer: Joe would have 7 apples.

Step-by-step explanation:

Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.

2 + 5 = 7

Joe would have 7 apples.

Answer:

33.333...(%)

Step-by-step explanation:

4 divided by 12 gives you 0.333... (3 repeating)

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First you do 5/2 to solve the ratio! That equals 2.5 btw. Then you have to selected the answer choice that is equivalent to that. So I just divided all them until I got a radio equal to 2.5! 45/18 equals 2.5 also! Therefore A (45 teachers to 18 students) was the correct choice!

Answer:

(0,0) satisfies 4y - 23x < 9

(0,0) satisfies 5/2y > 5x -11

The point (0,0) is a solution of the system.

Step-by-step explanation:

Answer:

116 deg

Step-by-step explanation:

note that an isoceles triangle always have 2 base angles that are equal.

Here we are already given one base angle of 32 deg. It follows that the other base angle must also be 32 deg.

We now have 2 angles of a triangle and we need to find the remaining one. Also recall that all 3 internal angles of a triangle sum to 180 deg. if we let the missing angle be x, then:

base angle + base angle + vertex angle = 180°

or,

32° + 32° + x° = 180°

64° + x = 180 deg

x = 180 - 64

x = 116 deg

Answer:

684

Step-by-step explanation:

57 times 12

12 weeks times 57 pages= 684 pages in 12 weeks

Answer:

A) 17

Step-by-step explanation:

p=23-6

p=17

Hope I helped!

Answer:

A

Step-by-step explanation:

Answer:

One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.

Step-by-step explanation:

3/65 ≅ 0.046 = 4.6%

One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.

Answer:

R > 7

Step-by-step explanation:

R+6> 13   (subtract 6 from both sides)

R > 13 - 6

R > 7

Answer:

108.50 divided by 14= 7.75

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Mode is the value that appears most often in a set of data values. So, in this case, the answer is 18.

Step-by-step explanation:

Notice that:

Every house number on the side of Elm Street is 6 more than the previous one.

If we continue this pattern, we will see the following house numbers:

Out of the options given, the only one whose number is on the side of Elm Street is 77. (B)

Answer:

y = -8x + 0

Step-by-step explanation:

If you multiply the x values by -8, you get the y value

The question is incomplete. Here is the complete question.

Part A

The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.

Express the toy's value t, in dollars, as a function of time w in weeks after purchase.

Part B

Write an expression to represent the toy's value 10 days after purchase

Answer and Step-by-step explanation: An exponential function is of the form: [tex]y=ab^{x}[/tex]

Part A

Translating to the question, the toy's value as a function of time is

[tex]t=ab^{w}[/tex]

To determine constants a and b, we use points given by graph.

First, (0,5) to find a:

[tex]5=a.b^{0}[/tex]

a = 5

Now, (3,10) to determine b:

[tex]10=5b^{3}[/tex]

[tex]b=\sqrt[3]{2}[/tex]

b = 1.26

The toy's value as a function of time in weeks is [tex]t=5.(1.26)^{w}[/tex]

Part B

Since, the function is in weeks:

1 week = 7 days

w weeks = 10 days

[tex]w = \frac{10}{7}[/tex]

Replacing w:

[tex]t=5.(1.26)^{w}[/tex]

[tex]t=5.(1.26)^{10/7}[/tex]

Expression that represents toy's value after 10 days is [tex]t=5.(1.26)^{10/7}[/tex].

Distributions of probabilities help to model our world, allowing us to estimate the likelihood of a said event or to approximate the variability of incidence. It is a common way of describing the probability of an event as well as possibly forecasting it, and the further calculation can be defined as follows:

The possibility of rolling a six on a 6-sided die is [tex]\frac{1}{6}[/tex]. There are

Three 6's are therefore [tex]\binom{1}{6}^3[/tex] likely to roll.

The probability that you don't roll a 6 is [tex]\binom{5}{6}[/tex] and you are not 6 double the record is[tex]\binom{5}{6}^2[/tex].

In 5 tests, there are 10 different ways [tex]\binom{5}{3}=10[/tex] to rolle three 6s.

Then we all have together:

[tex]\to 10 \times \binom{1}{6}^3 \times \binom{5}{6}^2 \approx 0.0322[/tex]

Therefore, the final answer is "0.0322".

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Answer:

C. 3x+30

Step-by-step explanation:

5(2x+6)-7x can be rewritten as

10x+30-7x which can be simplified as

3x+30

Answer:

65.3 km/hr

Step-by-step explanation:

49/45 x 60 = 65.3 km/hr

Answer:

★ The answer would be 0.02 MILES PER HOUR

Step-by-step explanation:

Hope you have a great day :)

Answer:

4.35 - 3.25= 1.1

A = 1.1

Step-by-step explanation:

Answer:11

Step-by-step explanation:

Answer:

11/ 4 + 7 = 11/11 = 1?

Step-by-step explanation:

Answer:

x = 29.7 or 29.69848480

Step-by-step explanation:

Use the formula a² + b² = c²

21² = 441

20² = 400

400 + 441 = 882

√882 = 29.7

You square the number at the end to cancel out the squared number, since both 21 and 20 aren't originally squared.

Answer:

No you do not

Step-by-step explanation:

If you divide 50 by 1 1/3 you 37.5 which you you have 30 glasses so you do not have enough

Answer:

First we substitute

4(-3) - 6(-1)

-7  -6

-13

Step-by-step explanation:

Answer:

The solution is (18,21)

Step-by-step explanation:

The picture shows the steps.

Hope this helps!!!

Answer: a) one central angle is QPR

b) arc QTS is a semicircle

c) arc QR is a major arc

d) arc QTR = 235

e) arc QR = 125

Step-by-step explanation:

A central angle is an angle with its vertex as the midpoint of the circle.

A semicircle is half of a circle. Segment QS goes through the midpoint P splitting the circle in half : arc QTS and arc QRS are both semicircles.

The degree of a central angle is equal to the arc it encompasses. Central angle QPR is equal to 125, therefore arc QR is equal to 125 as well.

Given this information we can now find the remaining arc QTR. A circle is equal to 360 degrees. We know part of the circle is 125 degrees which means the remaking portion must be 235 degrees.

360 - 125 = 235

Answer:

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