Nan rode the roller coaster 8 times which was twice as many times as she rode the ferris wheel

Answers

Answer 1

Answer: I'm assuming that you're looking for the number of times Nan rode the Ferris Wheel. The question says that 8 times is twice as many times as the Ferris Wheel, so you would divide 8 by 2 to get 4. Nan rode the Ferris Wheel 4 times.

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Solve equation 2x^{2}−5x−7 = 0 by using the quadratic formula. Then write 2x^{2}−5x−7 in form of a(x−r_{1})(x−r_{2}).

Answers

$2x^2+2x-7x-7=2x(x+1)-7(x+1)=(2x-7)(x+1)=\n \n=2(x-3.5)(x+1)\n \n2x^2-5x-7=0\ \ \ \Leftrightarrow\ \ \ 2(x-3.5)(x+1)=0\n \nx-3.5=0\ \ \vee\ \ \ x+1=0\n \n.\ \ \ \ \ \ \ x=3.5\ \ \ \ \ \ \ \ \ \ \ x=-1$

An elevator can carry 800 pounds of weight. A student weighing 95 pounds gets on the elevator. Write and solve an inequality to represent the remaining weight that can be added.

Answers

It would be 95x less than or equal to sign 800

Final answer:

To represent the remaining weight that can be added to the elevator, write and solve the inequality 800 - 95 ≥ x. The remaining weight is 705 pounds or less.

Explanation:

To represent the remaining weight that can be added to the elevator, we can use an inequality. Let's assume that the remaining weight is represented by 'x' pounds. The total weight the elevator can carry is 800 pounds. So, the inequality can be written as:

800 - 95 ≥ x

To solve the inequality, we subtract 95 from both sides:

x ≤ 800 - 95

x ≤ 705

Therefore, the remaining weight that can be added to the elevator is 705 pounds or less.

Learn more about Inequality here:

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Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

Answers

Answer:

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Step-by-step explanation:

Given : $\cos (180^(\circ)-q)=-\cos q$

We have to write which identity we will use to prove the given statement.

Consider $\cos (180^(\circ)-q)=-\cos q$

Take left hand side of given expression $\cos (180^(\circ)-q)$

We know

$\cos (a-b)=\cos a \cos b+\sin a \sin b$

Comparing , we get, a= 180° and b = q

Substitute , we get,

$\cos (180^(\circ)-q)=\cos 180^(\circ) \cos (q)+\sin q \sin 180^(\circ)$

Also, we know $\sin 180^(\circ)=0$ and $\cos 180^(\circ)=-1$

Substitute, we get,

$\cos (180^(\circ)-q)=-1\cdot \cos (q)+\sin q \cdot 0$

Simplify , we get,

$\cos (180^(\circ)-q)=-\cos (q)$

Hence, use difference identity to prove the given result.

cos (180° - q) = -cos q
First you would use the sum and difference formula of
cos(a – b) = cos(a)cos(b) + sin(a)sin(b) because you have a difference inside the parentheses for cosine.

Hope this helps.

please help :) Which sentence is true? A. 9.46 times 10 to the 12 power > 4.0 times 10 to the 13 power B. 9.46 times 10 to the 12 power < 4.0 times 10 to the 13 power

Answers

Answer:

Step-by-step explanation:

The problem is simple because they use powers of 10. When something is multiplied by a power of ten, it is essentially moving the decimal point over for every power.

9.46x10^12= 9460000000000

4.0x10^13= 40000000000000

Although 4 itself is less than 9.46, since is is being multiplied by 10^13, it will be one decimal place bigger.

A restaurant sells only two desserts,pie and cake.A piece of pie cost $4.A piece of cake cost $5.The restaurant sells 100 desserts,which cost a total of $473.How many pieces of pie did they sell (HELP NEEDED FAST)

Answers

Let p and c be the pieces of pie and cake respectively.

We have p+ c= 100 (because the total number of pieces of pie and cake is 100).

On the other hand, we have $4p+ $5c= $473
or 4p+ 5c= 473

p+c=100
4p+5c=473

Solving the set of equations above, we have: p= 27, c=73.

They sold 27 pieces of pie~

pie = x
cake = y

x + y = 100
4x + 5y = 473
4x + 4y = 400
substract it
y = 73

x + y = 100
x + 73 = 100
x = 100 - 73 = 27

Find the product of (-12) and (3).
-36
-4
4
36

Answers

A negative multiplied by a positive ALWAYS results in a negative. To make things simpler, you could multiply 12 by 3 to get 36, and then add on a negative afterwards. Otherwise, you can use your integer rules or a calculator. Any way you do it, the answer will be -36.

it would be -36 because a negative times by a positive is a negative

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