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gladu [14]
3 years ago
13

1. There were 88 birds in the tree and then b of the birds flew away. Write an expression that shows how many birds are in the t

ree now.
2. Brice had $73 and then he earned d more dollars. Write an expression that shows how much money he has now.

3. Kurt's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.
Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

1. 88 - b

Since there is 88 birds and a few of them flew away. You know b represents the amount of birds present.

2. 73 + d

Since he is earning d (amount of dollars) so what you have to do is add the amount of dollars, d, to the orginial amount, which is 73.

3. 23 x g

Since Kurt has 23 miles. If he drives 23 miles to a gallon and we have g gallons then we would multiply to find how far he can drive.

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Please I need help please someone
Nikitich [7]

Answer:

National Stationary

Step-by-step explanation:

The objective here is to find which shop has a better unit rate. We can just divide the total cost of the books by the number of books brought.

Readmore bookshop unit rate is

\frac{60}{4}  = 15

while National Stationary unit rate is

\frac{75}{6}  = 12.5

Since National Stationary unit rate is smaller, it has a better offer.

3 0
3 years ago
Alice has one fifth as many miniature cars as Sylvester has. Sylvester has 35 miniature cars. How many miniature cars does Alice
qaws [65]
Alice has 7 cars. 35 divided by 5 is 7. I hope this helps!
7 0
3 years ago
Read 2 more answers
Sin Ø = -8/17 and cos Ø = 15/17. Find tan Ø
yaroslaw [1]

Answer:

-8/15

Step-by-step explanation:

So remember what sin, cos, and tan are.

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent

Now, using what we know of sin and cos, lets find opposite and adjacent to solve for tan.

Sin=-8/17

So this must mean that opposite is -8, and the hypotenuse is 17.

Next, lets find adjacent. Cos = 15/17

So this must mean that adjacent is 15, and again, hypotenuse is 17.

Now lets take the -8 of the opposite, and 15 of the adjacent, and get tan.

<u>Tan: -8/15. </u>

17 is not included in this whatsoever, since hypotenuse is not included in tan. And remember that it cannot be -15/8, since its opposite/adjacent, not adjacent/opposite.

Hope this helps!

8 0
3 years ago
Solve the equation of 5(3−4)=8+15
Zigmanuir [339]

Answer:

-5 ≠ 23

Step-by-step explanation:

5(3−4)=8+15

5(-1) = 8 + 15

-5 = 23

-5 ≠ 23

6 0
3 years ago
P(k)=a^k=2 3 4 find value of a that makes this is a valid probability distribution
Vesna [10]
Sounds like you're asked to find a such that

\displaystyle\sum_{k=2}^4\mathbb P(k)=\mathbb P(2)+\mathbb P(3)+\mathbb P(4)=1

In other words, find a that satisfies

a^2+a^3+a^4=1

We can factorize this as

a^4+a^3+a^2-1=a^3(a+1)+(a-1)(a+1)=(a+1)(a^3+a-1)=0

In order that \mathbb P(k) describes a probability distribution, require that \mathbb P(k)\ge0 for all k, which means we can ignore the possibility of a=-1.

Let a=y+\dfrac xy.

a^3+a-1=\left(y+\dfrac xy\right)^3+\left(y+\dfrac xy\right)-1=0
\left(y^3+3xy+\dfrac{3x^2}y+\dfrac{x^3}{y^3}\right)+\left(y+\dfrac xy\right)-1=0

Multiply both sides by y^3.

y^6+3xy^4+3x^2y^2+x^3+y^4+xy^2-y^3=0

We want to find x\neq0 that removes the quartic and quadratic terms from the equation, i.e.

\begin{cases}3x+1=0\\3x^2+x=0\end{cases}\implies x=-\dfrac13

so the cubic above transforms to

y^6-y^3-\dfrac1{27}=0

Substitute y^3=z and we get

z^2-z-\dfrac1{27}=0\implies z=\dfrac{9+\sqrt{93}}{18}
\implies y=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}
\implies a=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}-\dfrac13\sqrt[3]{\dfrac{18}{9+\sqrt{93}}}
6 0
4 years ago
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