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3 years ago

Combining like terms although there has to be two terms y-9+y-4

Mathematics

2 answers:

liberstina [14]3 years ago

3 0

Answer:

2y - 13

Step-by-step explanation:

y - 9 + y - 4

2y - 9 - 4

2y - 13

Degger [83]3 years ago

3 0

Answer:

Step-by-step explanation:

Here, "combining like terms" would require y + y -9 - 4, or 2y - 13. Order is unimportant here.

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The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at

crimeas [40]

Answer:

D is a binomial random variable with $p = 0.65, n = 15$

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

65% of the customers have dogs:

This means that $p = 0.65$

15 customers:

This means that $n = 15$

What type of variable is D?

D is a binomial random variable with $p = 0.65, n = 15$

5 0

3 years ago

I need help its my homework and it's due today Find the base angles.

MrRa [10]

Answer:

Each base angle would be 70°.

Step-by-step explanation:

*Base angles means the two equal angles formed on the base are called base angles.

Base means the third unequal side of the triangle. *

Given triangle is isosceles triangle.

The angle of vertex which is given is 40°.

Let each base angle be x.

We know that,

There are two base angles in a isosceles triangle.

And, Sum of angles of triangle is 180° .

Therefore,

$\tt \implies \: x + x + 40 {}^{ \circ} = 180 {}^\circ$

Now Solve For x. That would be the solution.

Steps:

Combine like terms:

$\tt \implies2x + 40{}^{ \circ} = 180{}^{ \circ}$

Subtract 40 from both sides:

$\tt \implies2x + 40{}^{ \circ} - 40 = 180{}^{ \circ} - 40{}^{ \circ}$

Simplify the LHS and RHS:

$\tt \implies2x + 0 = 140{}^{ \circ}$

$\tt \implies2x = 140 {}^{ \circ}$

Divide both sides by 2:

$\tt \implies \cfrac{2x}{2} = \cfrac{140{}^{ \circ} }{2{}^{ \circ} }$

Use cancellation method and cancel LHS and RHS:

$\tt \implies \cfrac{ \cancel2x}{ \cancel2} = \cfrac{ \cancel{140^{ \circ}} }{ \cancel{2{}^{ \circ} }}$

$\tt \implies \cfrac{1x}{1} = \cfrac{70{}^{ \circ} }{1{}^{ \circ} }$

$\tt \implies{1x} = {70}^{ \circ}$

$\tt \implies{x} = 70{}^{ \circ}$

Hence, each base angle would be 70°.

Verification:

As we know that sum of angles of triangle is 180°.

So,

$\tt \implies \: Base \: angle + other \: base \: angle + vertex \: angle= 180{}^{ \circ}$

We got that one base angles of the given isosceles triangle is 70° and other is 70°, and the vertex angle is 40°[Given].

$\tt \implies70{}^{ \circ} + 70{}^{ \circ} + 40{}^{ \circ} = 180{}^{ \circ}$

Solve it.

$\tt \implies140{}^{ \circ} + 40{}^{ \circ} = 180{}^{ \circ}$

$\tt \implies180{}^{ \circ} = 180{}^{ \circ}$

$\tt \: LHS = RHS$

$\star \sf \: Hence, Verified.$

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

4 0

2 years ago

Read 2 more answers

F(x)=3x-5 and g(x)=2x+5 What is f(x) - g(x), and another problem.

prohojiy [21]

here are the steps hope it helps

5 0

3 years ago

● For the polygon you are assigned, assume the radius is 1 unit . Round all answers to the nearest hundredth , if necessary.

lorasvet [3.4K]

9514 1404 393

Answer:

1) 135°

2) 0.77 units

3) 0.92 units

4) 6.12 units

5) 2.83 square units

Step-by-step explanation:

1) The exterior angle at any vertex is 360°/n, where n is the number of sides. For the octagon, the exterior angle is 360°/8 = 45°. The interior angle will be the supplement of this: 180° -45° = 135°.

The measure of each interior angle is 135°.

2) Each sector of the octagon is an isosceles triangle with a central angle of 45° (also 360°/8). Since the radius is 1 unit, the length of one side is twice the sine of half the central angle.

s = 2·sin(45°/2) ≈ 0.765367

The length of one side is about 0.77 units.

3) Similarly, the apothem is the cosine of half the central angle:

a = cos(45°/2) ≈ 0.923880

The apothem is about 0.92 units.

4) For an octagon, the perimeter is 8 times the length of one side.

P = 8s = 8(0.765367) ≈ 6.12293

The perimeter is about 6.12 units.

5) The area of one sector (isosceles triangle) is given by the formula ...

A = (1/2)bh

A = 1/2sa ≈ 1/2(0.765367)(0.923880) ≈ 0.353553

Then the area of the octagon is 8 times this:

A = 8(sector area) = 8(0.353553) ≈ 2.82843

The octagon area is about 2.83 square units.

3 0

3 years ago

Write ninety-eight and one tenth as a decimal number.

deff fn [24]

Answer:

98.1

Step-by-step explanation:

one tenth equates to 0.1

Therefore the answer is 98+0.1=98.1

4 0

3 years ago

Read 2 more answers