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Sedaia [141]
1 year ago
11

You are playing a card game where the total points you earn depends on theasuits of the cards you draw. The total number of poin

ts is given by the expression3a + 3b-2c-2d, where a represents the number of hearts, b is diamonds, c isclubs, and d is spades. What is the total number of points you earn if you draw 3hearts, 2 diamonds and 1 spade? *
Mathematics
1 answer:
Semmy [17]1 year ago
4 0

3a + 3b-2c-2d

a= number of hearts

b= number of diamons

c= number of clubs

d= number of spades

if you draw 3hearts, 2 diamonds, and 1 spade, just replace a=3, b=2, c=0, d=1

3(3) + 3(2)-2(0)-2(1)

Multiply each term and add the results:

9+6-0-2 = 13

13 points

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Mr. Jones is four times as old as his son. Six years ago he was ten times as old as his son. How old is the son now?
Advocard [28]

Answer:

After 16 years …mr James age =4X+16 and his son's age will be X+16

As per the question in 16 years his age will be 2 twice

(4X+16)=2(X+16)so by simplifying this we will get 2X=16..and X=16/2=8

Step-by-step explanation:

6 0
3 years ago
Simplify 2(x - 4) + 7(x + 2).
nevsk [136]
The answer is............ 9x+6
7 0
3 years ago
The polynomial x 3 + 5x 2 - ­57x -­189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If t
Ipatiy [6.2K]
V=x^3+5x^2-57x-189
Width: W=(x+3) in = 15 in →x+3=15
Solving for x:
x+3-3=15-3→x=12

With x=12 the Volume would be:
V=(12)^3+5(12)^2-57(12)-189
V=1,728+5(144)-684-189
V=1,728+720-684-189
V=1,575

V=W*D*H
Depth: D
Height: H
with H>D

V=1,575; W=15
Replacing in the equation above:
1,575=15*D*H
Dividing both sides by 15
1,575/15=(12*D*H)/15
105=D*H
3*5*7=D*H
D<H
If D=5→H=3*7→H=21
If D=7→H=3*5→H=15

Answer: Option <span>C. height: 21 in. depth: 5 in.
</span>
Please, see the attached file for another form to solve the problem

4 0
3 years ago
Read 2 more answers
The differential equation y′′=0 has one of the following two parameter families as its general solution: yyyy=C1ex+C2e−x=C1cos(x
svet-max [94.6K]

Answer:

y_c = 2 + 10*x

Step-by-step explanation:

Given:

                                                y'' = 0

Find:

- The solution to ODE such that y(0) = 2, y'(0) = 10

Solution:

- Assuming a solution y = Ce^(mt)

So,                                y' = C*me^(mt)

                                    y'' = C*m^2e^(mt)

- Back substitute into given ODE, we get:

                                    y'' = C*m^2e^(mt) = 0

                                    e^(mt) can not be equal to zero

- Hence,                       m^2 = 0

                                     m = 0 , 0 - (repeated roots)

- The complimentary function for repeated roots is:

                                    y_c = (C1 + C2*x)*e^(m*t)

                                    y_c = C1 + C2*x  

- Evaluate @ y(0) = 2

                                    2 = C1 + C2*0

                                    C1 = 2

-Evaluate @ y'(0) = 10

                                    y'(t) = C2 = 10

Hence,                         y_c = 2 + 10*x

5 0
3 years ago
A sports team is holding a banquet.
Amanda [17]

Answer:

$10

Step-by-step explanation:

1000 divided by 100 = 10

so $10  is the answer

then 100 tickets = $1000

PLEASE MARK BRAINLIEST AND GIVE 5 STARS.

6 0
2 years ago
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