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lilavasa [31]
3 years ago
7

Solve algebraically for x 3600+1.02x<2000+1.04x

Mathematics
1 answer:
pickupchik [31]3 years ago
3 0

Answer:

x > 80,000

Step-by-step explanation:

3600+1.02x<2000+1.04x

The first thing we need to do is to isolate the x's and get all of them on one side, let's start off by subtracting 2,000 from both sides of the equation.

1,600+1.02x<1.04x

Now, subtract 1.02x from both sides to get both the x's on one side.

1600<0.02x

Divide by 0.02 to solve for x.

80,000<x

We can flip the sign and swap the places of the number and variable so that x is on the left side.

x > 80,000

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Help guys<br> I realy need help <br> I will report you if you give me the wrong answer
telo118 [61]

Answer:

the Answer is 150x + 12100 ≤ 26500

Step-by-step explanation:

The max weight is 26500 so the weight would have to be the same or less than 26500 (≤)

There is already 12100 killograms on the sipping containter so that is why you have + 12100

and you have 150x because x is the number of 150-kilogram crates

and for as many crates you have to multiply by the weight.

7 0
2 years ago
You pay $20 for 4 cups of coffee. What is theunit rate?
7nadin3 [17]

Answer: The unite rate is $5 per cup of coffee.

Step-by-step explanation:

20/4= 5

4 0
3 years ago
Read 2 more answers
Use the Remainder Theorem to evaluate f(10) for:<br> f(x) = 2x^3 – 14x^2 - 56x - 40
MAXImum [283]

Step-by-step explanation:

Since we are told that 10 is a zero,

(x−10) must be a factor:

F(x)=2x3−14x2−56x−40

F(x)=(x−10) (2x2+6x+4)

F(x)=2(x−10)(x2+3x+2)

F(x)=2(x−10)(x+2)(x+1)

So the other two zeros are

x = -2 and x= −1

7 0
3 years ago
Membership selection. A town council has 10 ​members, 5 Democrats and 5 Republicans. ​(A) If the president and​ vice-president a
SOVA2 [1]

Answer:

(A) P=0.22 or 22% (B) P=50%

Step-by-step explanation:

(A) We have a tree of probabilities, with two steps: president and vice-president.

If the president is elected first, there is a 5/10 chances it will be Democrat.

If this happened, in the election of vice-president, there is 4/9 chances it will be a Democrat chosen again, because there is one Democrat member already selected for President.

So the chances of having a Democrat president and vice president are:

(5/10) x (4/9) = 20/90 = 0.22 = 22%.

(B) We have another tree, with tree steps. The Republicans have majority whenever there are 2 or 3 members in the 3-person comitee.

It can be calculated as the sum of the probability of having 3 republican members (RRR) and the probability of having 2 republican members (RRD, RDR and DRR).

P(RRR) = (5/10) x (4/9) x (3/8) = 1/9

P(RRD) = (5/10) x (4/9) x (5/8) = 1/7

P(RDR) = (5/10) x (5/9) x (4/8) = 1/7

P(DRR) = (5/10) x (5/9) x (4/8) = 1/7

P(RRR) + P(RRD) + P(RDR) + P(DRR) = 1/9 + 1/7 + 1/7 + 1/7 = 1/2 = 50%

7 0
3 years ago
If the perimeter of a right triangle is 42 units and the length of the hypotenuse is 20 units, find the length of the other two
Mashutka [201]
So
a^2+b^2=c^2
c=hypotenuse
a^2+b^2=20^2=400

if the permiter is 42 then
p=hypotonuse+side+side
42=20+side+side
subtract 20 from both sides
22=side+side

a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
(22-b)^2+b^2=400
b^2-44x+484+b^2=400
2b^2-44x+484=400
divide both sides by 2
b^2-22x+242=200
subtract 200 from both sides
b^2-22x+42=0
factor
(b+/-number)(b+/-number)
to find the numbers, find which 2 number multiply to 42 and add to get -22
the numbers must be neative since same signs multiplied=positive and negative+negative=negative
(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0

b-19.8882=0
add 19.8882 to both sides
b=19.8882

b-2.11181=0
add 2.11181 to both sides
b=2.11181



the side legnths are 19.8882 units and 2.11181 units
4 0
3 years ago
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