Three times the number of polar bears is more than
twice the number of polar bears plus 45.
a. Write an inequality to model this situation.
b. Which of the following could possibly be the
number of polar bears?
A. 38
B. 40
C. 45
D. 48

Answers

Answer 1

Answer:

a. [tex]3x>2x+45[/tex]  b. [tex]48[/tex]

Step-by-step explanation:

For b the number of polar bears must be greater than 45 in order for there to be more on the left side.

Hope this helps! :)


Related Questions

Write an equation in slope-intercept form for the line that goes through points (1.4, 0) and (1, –2).

Answers

Answer:

y = 5x - 7

Step-by-step explanation:

Find the inverse:
-3x+7y=14

Answers

9514 1404 393

Answer:

  -3y +7x = 14

Step-by-step explanation:

The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...

  -3x +7y = 14 . . . . given relation

is

  -3y +7x = 14 . . . . inverse relation

Given m||n, find the value of x.
+
(8x-4)º
(6x-12)

Answers

Answer:

x = 14

Step-by-step explanation:

(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)

6x - 12 + 8x - 4 = 180

Add like terms

14x - 16 = 180

14x = 180 + 16

14x = 196

x = 196/14

x = 14

Solve 5(2x – 3) = x – 15 + 9x for x.

Answers

Answer:

Given

5(2x – 3) = x – 15 + 9x

Solving for x

5(2x – 3) = x – 15 + 9x10x - 15 = 10x - 15

Both sides are equal, any value of x is a solution, so infinitely many solutions

Step-by-step explanation:

[tex]5(2x - 3) = x - 15 + 9x \\ 10x - 15 = 10 x - 15[/tex]

Both the sides are equal

Hence no specific value of x

Therefore, x has infinite value.

Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?

Answers

Answer:

The expected value is 5.6

Step-by-step explanation:

Here, we want to calculate the expected value of x

Mathematically, that will be the probability multiplied by the number of items

In this case, that will be ;

0.28 (28%) * 20 = 5.6

A $270 suit is marked down by 20%. Find the sale price

Answers

Answer:

Marked down means the price has decreased by 20% so 100%-20%=80%

The suit is now 80% of its original price of 270.

So 270×(80/100)= 216

The selling price of the suit will be equal to $216.


What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a $270 suit is marked down by 20%. The selling price will be calculated as,

Marked down means the price has decreased by 20%,

100%-20%=80%

The suit is now 80% of its original price of 270.

270×(80/100)= 216

To know more about percentages follow

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If the point (8,-5) is 6 units above the point P(x, y) and 3 units to the right of it, then what are the coordinates of
the point P(x, y)?

Answers

Answer:

(5, -11)

Step-by-step explanation:

We know that (8, -5) is 6 units above and 3 units to the right of point P. Knowing this, let's work backwards by starting from (8,-5) and counting 6 units down and 3 units to the left on the graph.

If you counted correctly, this should place you at the (5, -11). (You can also check your work by counting 6 units up and 3 units to the right from (5, -11) and seeing if you end up at (8, -5).)

Angie read 60 pages of a textbook in 2 hours. She turned on the TV and read 24 pages in 1 hour. Angie’s average reading rate with the TV on, is what percent of her average rate with the TV off? A. 75% B. 80% C. 85% D. 90%

Answers

Answer:

80%

Step by step explanation:

Hello! So Angie reads 60 pages in 2 hours, without the TV on. 60/2 is 30. She reads 30 pages an hour without the TV on, and 24 pages with the TV off. To find the percent of her reading rate with the TV on instead of off, we can just divide both of the reading rates. 24/30 is 0.8. Multiply that by 100 and you get 80% in percent form. There. Angie's reading rate with the TV on is 80% of her reading rate with the TV off. The answer is B: 80%.

Answer:

The answer is B.) 80%

explanation:

I took a quiz and according to that its correct

Simplify.
(+18)%(-6)​

Answers

Answer: -3

Step-by-step explanation:

18/6 = 3

18/-6 = -3

This graph shows the solution to which inequality?

Answers

Answer:

The graph shows the solution of the inequality y > [tex]\frac{4}{3}[/tex] x - 2 D

Step-by-step explanation:

In the inequality,

If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid lineIf the sign of inequality is < or >, then the line that represents it must be a dashed lineIf the sign of inequality is > or ≥, then the shaded area must be over the lineIf the sign of inequality is < or ≤, then the shaded area must be under the line

From the given graph

∵ The slope of the line = [tex]\frac{2--6}{3--3}[/tex] = [tex]\frac{2+6}{3+3}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

∵ The y-intercept is (0, -2)

The line is dashed and the shaded area is over the line

→ By using the 2nd and 3rd notes above, the line is dashed and

   the sign of inequality is >

∴ The inequality is y > [tex]\frac{4}{3}[/tex] x - 2

The graph shows the solution of the inequality y > [tex]\frac{4}{3}[/tex] x - 2

-
First, rewrite
13 9
and
30 20
so that they have a common denominator.
13 9
Then, use <, =, or > to order and
30 20
13
9
<
D>
30
20
Х
?
13
9
30
20

Answers

Answer:

18/14=64+7%×r try it out

The values shows  13/30  <  9/20.

What is fraction?

Fractions are the components of a collection or whole. Two parts make up a fraction. The numerator is the number at the top of the line. It indicates the number of equal portions taken from the collection or whole. The term "denominator" refers to the number below the line. It indicates the total number of identical parts that make up a collection or the total number of parts that make up the whole.

The number of parts we take is a fraction when the whole is divided into equal parts.

Given 13/30 and 9/20

to make the common denominator,

multiply by 20 in numerator and denominator of 13/30

(13 x 20)/(20 x 30) = 260/600

multiply by 30 in numerator and denominator of 9/20

(9 x 30)/(20 x 30) = 270/600

the terms with same denominator are

260/600 and 270/600

as we can see that 270/600 > 260/600

so 13/30 < 9/20.

Hence 13/30 is less than 9/20.

Learn more about fraction;

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help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution ​

Answers

Answer:

C. the equation has one extraneous solution

Step-by-step explanation:

Given equation:

x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)

Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2

Multiply both sides by x² + x - 2:

x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2

There is one solution but it is not true one.

Option C is correct

Answer:

[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]

x =-2 is the right answer.

C. the equation has one extraneous solution.

hirokis goal is to collect $40 for a school fundraiser

Answers

Answer:

is there more?

Step-by-step explanation:

Answer:

40-26.50=m

Step-by-step explanation:

Cause im doing it right now and i got it right

5/32 × 64y/100 please help :,)

Answers

Answer:

The answer is 1/10y

so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?

Answers

Answer:

She would have 16

Step-by-step explanation:

10-2=8

8+8=16

What is the slope of the line through -2, one and two, -5 in the center of X, Y coordinate plane

Answers

Answer:

m = -3/2

Step-by-step explanation:

Points: (-2,1) and (2,-5)

Slope is change in y over change in x,

(-5-1)/(2-(-2)) = -6/4 = -3/2

Hope this helps!

find the unit price if it cost $3 for eight cans of soda. round to the nearest cent.

Answers

Answer:

0.40 the actual answer is 3.20 but you said round so

Step-by-step explanation:

Answer:

0.38 is the answer for me

Step-by-step explanation:

2. Explain. How do you know something is a pattern?

Answers

Answer:

It repeats over and over..

Step-by-step explanation:

Answer:

As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.

Step-by-step explanation:

Which of the following is a true statement?
A. -3 < -4
B. 9 < -9
C. -6 < -2
D. 0 < -1

Answers

Answer:

C is true because when it comes to negative numbers, the closer it is to 0 the higher the value of the number is

Admission to the local amusement park cost $5.25 and each ride cost $2.50 which of the following equations represents the cost C in dollars for admission to the park with ex ride tickets?

Answers

Answer:

C=2.50r+5.25

Step-by-step explanation:

(r represents each ride cost)

5.25 would be the y-intercept since that's the initial fee to enter the park, and 2.50 would be the slope since each ride would cost that much.

5.25+2.5x=c (cost) x is how many rides

how do you find the area of this problem ​

Answers

Answer: 240

Step-by-step explanation:

You would multiply each of the sides to get the final answer of 240 (:

PLS Help! This is DUE! 50 Points
[tex]log_{6}(2x-7)=4[/tex]

Answers

Answer: x = 651.5

Step-by-step explanation:

First, we can re-write the equation as  = 2x - 7.

Now, we simplify 6^4 = 1296.

1296 = 2x - 7

1303 = 2x

x = 651.5

An object is launched on the moon at 16 feet per second (f/s) from a 1152-foot tall tower. The equation for the object's height s at time t seconds after launch is
s(t) = -16t^2 + 16t + 1152, where s is in feet. When does the object strike the moon’s surface and why?

Answers

Answer:

0.5seconds later

Step-by-step explanation:

Given the height modeled by the equation:

s(t) = -16t^2 + 16t + 1152

The velocity of the object at the moon surface is zero

ds(t)/dt = 0

ds(t)/dt = -32t + 16

0 = -32t + 16

32 t = 16

t = 16/32

t = 1/2

t = 0.5seconds

Hence the object strikes the moon surface 0.5seconds later

I can't figure this out
Please help!!

Answers

Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get  -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!

PLS HELP I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ANSWER!!!

In the following lattice bridge, AABC - AECD. The ratio of the
lengths of the corresponding sides in AABC to AECD is 3:4. If
AB=9 meters, what is EC?

- A) 6 m
- B) 9 m
- C) 12 m
- D) 15 m

Answers

Answer:

C or D

dont get me wrong here im the wrong bc this is bassicly taking ur points but it c i think but d is still a good opition I think c

It’s B I’m not sue we

1/3 + 4 × 2/3 + (-12) ÷ 4

Answers

The answer of your question is zero

Help me please I need this

Answers

Answer:

i think the answer is -13

Step-by-step explanation:

b-6= -7-6

=-13

your correct answer is 13

I am sure it's correct... just go for it

d. One holding pen uses 500 feet of fence
wire and 100 feet of tie wire. A farmer
uses a combined length of 1,000 yards of
wire. What length of tie wire was used?




Help me

Answers

9514 1404 393

Answer:

  500 ft or 166 2/3 yards

Step-by-step explanation:

The tie wire is (100)/(100 +500) = 1/6 of the total length of wire used. If 1000 yards of wire is used, 1/6 of that amount can be expected to be tie wire. That is ...

  (1000 yd)/6 = 166 2/3 yd = 500 ft

(2a^-2)(3a^3b^2)(c^-2)

Answers

Answer:

Step-by-step explanation:

#5 Test question 7th grade math

Answers

Answer:

0.85p and p - 0.15p are right

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