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3 years ago

8

The U.S Senate has 100 members. After a certain election, there were 14 more Democrats than Republicans, with no other parties r

epresented. How many members of each party were there in the Senate?

2 answers:

KIM [24]3 years ago

6 0

Answer:

there were 43 people in republicans and 57 democrats

Step-by-step explanation:

100-14=86

86/2=

43

43+14=57

almond37 [142]3 years ago

5 0

Answer:

There are 48 + 4 = 52 Democrats

Step-by-step explanation:

Let the number of Republicans be

x

.

There are

x

+

4

Democrats.

Thus,

x

+

(

x

+

4

)

=

100

⇒

2

x

=

100

−

4

⇒

x

=

96

2

=

48

There are 48 + 4 = 52 Democrats..

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Find the value of c that completes the square for x2−15x+c

meriva

Answer:

The value of <em>c</em> is $\frac{225}{4}$ .

Step-by-step explanation:

The perfect square of the difference between two numbers is:

$(x-y)^{2}=x^{2}-2xy+y^{2}$

The expression provided is:

$x^{2}-15x+c$

The expression is a perfect square of the difference between two numbers.

One of the number is <em>x</em> and the other is √<em>c</em>.

Use the above relation to compute the value of <em>c</em> as follows:

$x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}$

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4 years ago

A farmer has enough feed to last his 15pigs for 20days. How long would the feed last if he had 10pigs

ddd [48]

40/3 days, (13.33 days)

Step-by-step explanation:

Set up the equation, 15/20 = 10/x, and then use cross mutiply to solve it.

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Why?

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3 years ago

3(-2x-4y)-4(6y-x)<br> simplify

postnew [5]

Answer:

Simplify the expression.

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Step-by-step explanation:

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3 years ago

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how many ways are there to win the jackpot? how many ways are there to match 5 of 6 numbers? how many ways are there to match 4

musickatia [10]

The number of ways to match 5 of 6 numbers is 6 ways

The number of ways to match 4 of 6 numbers is 15 ways

The number of ways to match 3 of 6 numbers is 20 ways

To calculate number of ways to match 5 of 6 numbers we have to use to formula:

$nCr =\frac{n!}{(n - r)! . r !}$

$6C5=\frac{6!}{(6-5)! . 5!}$

$6C5=\frac{6!}{(1)! . 5!}$

$6C5=\frac{6.5.4.3.2.1}{1.5.4.3.2.1}$

$6C5=\frac{6}{1}$

$6C5= 6 \ ways$

∴ 6 ways are to match 5 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

$nCr =\frac{n!}{(n - r)! . r !}$

$6C4=\frac{6!}{(6-4)! . 4!}$

$6C4=\frac{6!}{(2)! . 4!}$

$6C4=\frac{6.5.4.3.2.1}{2.1.4.3.2.1}$

$6C4=\frac{30}{2}$

$6C4= 15 \ ways$

∴ 15 ways are to match 4 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

$nCr =\frac{n!}{(n - r)! . r !}$

$6C3=\frac{6!}{(6-3)! . 3!}$

$6C3=\frac{6!}{(3)! . 3!}$

$6C3=\frac{6.5.4.3.2.1}{3.2.1.3.2.1}$

$6C3=\frac{120}{6}$

$6C3= 20 \ ways$

∴ 20 ways are to match 3 of 6 numbers

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choli [55]

Answer:

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Step-by-step explanation:

hello

$6(x+5)=6x+11\\ 6x+30=6x+11\\ 30=11$

this is always false so there is no solution

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3 years ago

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