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Tanzania [10]
1 year ago
12

There are 100 senators in the US senate, At least 2/3 of them vote yes in order to ratify or approve, a treaty. What is the leas

t number of yes votes needed to ratify a treaty? Round to the nearest whole number.
Mathematics
1 answer:
tekilochka [14]1 year ago
3 0

Answer:

At least 67 votes

Explanation:

We were given the following information:

There are 100 senators in the US senate,

At least 2/3 of them vote yes in order to ratify or approve, a treaty

The least number of votes needed is calculated below:

\begin{gathered} x\ge\frac{2}{3}(100) \\ \text{Expand the bracket, we have:} \\ x\ge66.6667 \\ x\ge67 \\  \\ \therefore x\ge67 \end{gathered}

Therefore, they must have at least 67 votes to ratify a treaty

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Write the ratio<br> 2/3 /5<br> in simplest form
Ierofanga [76]

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

5 0
3 years ago
Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x 3 + 44x 2 y + 17 and y 3 -
ycow [4]

The polynomial y3 - 11xy2 + 2x2y - 13x3 corresponds to the subtraction of multivariate polynomial because of the minus and plus sign in it. Also, the variables cannot be easily added or subtracted because they are all different. Unlike in the polynomial 19x3 + 44x2y + 17, it has no minus sign. 

5 0
3 years ago
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Max rode his bike 40 miles in 2 1/2 hours. Which complex fraction can be used to calculate Max's average speed? a. 40/ 5/2 b.2/5
attashe74 [19]

Answer:

a. 40 / 5/2.

Step-by-step explanation:

Average speed = distance / time = 40 / 2 1/2

= 40 / 5/2.

8 0
4 years ago
Read 2 more answers
An equation of an ellipse is given. y2 = 1 − 3x2 (a) Find the vertices, foci, and eccentricity of the ellipse. vertex (x, y) = (
oksian1 [2.3K]

Answer:

Step-by-step explanation:

Given

y^2=1-3x^2

3x^2+y^2=1

\frac{x^2}{(\frac{1}{\sqrt{3}})^2}+\frac{y^2}{1}=1

therefore it is a vertical ellipse

thus a=1

b=\frac{1}{\sqrt{3}}

eccentricity of Ellipse

e^2=1-\frac{b^2}{a^2}

e^2=1-\frac{1}{(\sqrt{3})^2}

e^2=1-\frac{1}{3}

e^2=\frac{2}{3}

e=\sqrt{\frac{2}{3}}

Focii are (0,ae) and (0,-ae)

ae=1\times \sqrt{\frac{2}{3}}

thus focii are (0,\sqrt{\frac{2}{3}}) & (0,-\sqrt{\frac{2}{3}})

(b) Length of major axis =2a=2\times 1

length of minor axis=2b=2\times \sqrt{\frac{2}{3}}=2\cdot \sqrt{\frac{2}{3}}

8 0
3 years ago
The physical education instructor asked each student to do a total of 36 pull-ups and push-ups in 1 minute. The instructor wante
NeTakaya

Answer: Pull-ups = 4 and push up = 32

Step-by-step explanation:

Let x represents number of pull ups in one minute.

And, y represents number of push ups in one minute.

Therefore, According to the question,

Each student to do a total of 36 pull-ups and push-ups in 1 minute.

⇒ x+y= 36

But, again from equation, The instructor wanted students to do 8 times as many push-ups as pull-ups.

Therefore, 8x = y

Thus, required system of linear equations that represents this situation is,

x+y= 36 and 8x = y , where x is the number of pull ups and y is the number of push ups in one minute.

By solving these two equations we get, x=4 and y= 32

That is, In one minute 4 pull ups and 32 push ups are required.




8 0
4 years ago
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