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34kurt
2 years ago
7

If y = 3x and 2x – 4y = 3, then x=

Mathematics
2 answers:
lozanna [386]2 years ago
6 0

Answer:

x = -0.3

Step-by-step explanation:

You can substitute y in 2x – 4y = 3, to solve for x.

How to solve for x:

2x - 4(3x) = 3 (Simplify)

2x - 12x = 3 (Simplify)

-10x = 3 (Divide by -10)

x = -0.3

Musya8 [376]2 years ago
4 0
-0.03 is the answer
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Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers
kherson [118]

Answer: 0.65

Step-by-step explanation:

Let A denote that moviegoers were female and B denotes that moviegoers were under age 25.

As per given we have,

P(A)=0.56     P(B)=0.26     P(A∩B)=0.17

Using formula ,

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\ P(A\cup B)=0.56+0.26-0.17=0.65

Hence, the probability that a moviegoer is either female or under age 25 = 0.65

6 0
2 years ago
Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each porti
expeople1 [14]

Answer:

I think its choice C

Step-by-step explanation:

Because it makes more sense to me

5 * 1.5 to get 7.5, which is total pounds

7.5 - 2.8 to get how many almonds

= 4.7

Choice C makes the most sense to get that answer

i'm only in 5th grade so tell me if i'm wrong ill be ok with that

3 0
2 years ago
Predict how much money can be saved without having a negative actual net income. monthly budget budgeted amount actual amount in
zavuch27 [327]

The amount of money that can be saved without having a negative actual net income is: $170 can be saved resulting in an actual net income of $0.

<h3 /><h3>Explanation: </h3>

Predict how much money can be saved without having a negative actual net income.

Monthly Budget  (is an itemized list of expected income and expenses that helps you to plan how the money will be spent or saved and track of spending habits.)

Budgeted Amount  (is an itemized allotment of funds, time for a given period)

Actual Amount  (is the particular year in which the amount is spent)

Income  (business receives in exchange to provide a good /service /through investing capital )

Wages  (is monetary compensation paid by  employer to employee in exchange for work done)

Savings Interest  (is money the you earn in return for holding your savings in an account.)

$1150

$25

$900

$25

Expenses

Rent

Utilities

Food

Cell Phone

Savings

$400

$100

$250

$75

$200

$400

$80

$200

$75

$____

Net Income

$150

$____

How much money can be saved without having a negative actual net income?

  • a.  It is not possible to save any money this month without having a negative actual net income.
  • b.  $170 can be saved resulting in an actual net income of $0.
  • c.  $200 can be saved resulting in an actual net income of $150.
  • d.  As long as you are saving money, you will not have a negative actual net income.

Learn more about   money brainly.com/question/1870710

#LearnWithBrainly

5 0
2 years ago
A card is drawn from a deck of cards numbered one through twenty. The card is NOT replaced and another card is drawn. Find the p
Bess [88]

Answer:

B)  P(two prime numbers are drawn in a row) = 14/95

Step-by-step explanation:

Total cards in the deck  = 20

Total prime numbered cards in deck  = { 2, 3, 5, 7, 11, 13, 17, 19}  = 8 cards

So, Probability of picking two prime cards from deck (without replacing)

= Probability of picking first prime card x Probability of picking second prime card

P( picking first prime card ) = \frac{\textrm{Total prime cards in the deck}}{\textrm{Total available cards}}

= \frac{8  }{20}  = \frac{2}{5}

P( picking second prime card )  = \frac{\textrm{Total prime cards in the deck}}{\textrm{Total available cards}}

=\frac{7}{19}

Hence, the total probability =\frac{2}{5}  \times \frac{7}{19} = \frac{14}{95}

or, B)  P(two prime numbers are drawn in a row) = 14/95

4 0
2 years ago
∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′.
RideAnS [48]

Answer:

The coordinates of image are A'(-2,1), B'(1,0) and C'(-1,0).

Step-by-step explanation:

From the figure it is clear that the coordinates of triangle are A(0,0), B(1,3) and C(1,1).

∆ABC is translated 2 units down and 1 unit to the left.

(x,y)\rightarrow (x-1,y-2)

A(0,0)\rightarrow (0-1,0-2)=(-1,-2)

B(1,3)\rightarrow (1-1,3-2)=(0,1)

C(1,1)\rightarrow (1-1,1-2)=(0,-1)

Then it is rotated 90° clockwise about the origin to form ∆A′B′C′.

(x,y)\rightarrow (y,-x)

(-1,-2)\rightarrow A'(-2,1)

(0,1)\rightarrow B'(1,0)

(0,-1)\rightarrow C'(-1,0)

Therefore the coordinates of image are A'(-2,1), B'(1,0) and C'(-1,0).

7 0
1 year ago
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