Answer and explanation:
To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:
=x(x-2/x)+x(x+2/x)+x(3)< 3/2
=x-2+x+2+3x < 3/2
=5x < 3/2
x < 3/2/5
x < 3/2×5/1
x < 15/2
x < 7 1/2 or 7. 5
U + 3 = 7 step by step explanation
2. The dimensions of a rectangle are its length and width. For example, the enclosure for 2 monkeys is 36 square feet and could have five different dimensions: , , , , and . The enclosure that holds 6 monkeys has 6 possible sets of dimensions. List all six sets of dimensions for six monkeys.
Answer:1
Which of the following functions has a line of symmetry of x = 2?
Step-by-step explanation:
18. Is this figure a polygon? Explain.
Answer:
no
Step-by-step explanation:
A polygon is a flat, two-dimensional shape with straight sides that is fully closed.The sides must be straight. Polygons may have any number of sides. A shape with curved sides is not a polygon.
solve for n: 3 x n = 2 x 9
Answer:
n = 6
Step-by-step explanation:
3 x n = 2 x 9
2 x 9 = 18
3 x n = 18
divide by 3 on both sides:
n = 6
hope this helped :)
Determine if the following triangles are right triangles. Prove your answers using the
Pythagorean Theorem.
12 ft
7 ft
10 ft
Please help
Answer:
not a right triangle
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 12 and 12² = 144
7² + 10² = 49 + 100 = 149 ≠ 144
Then triangle is not right
6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
A. 80 hours
B. 900 hours
C. about 1.78 hours
D. 2.25 hours
Answer:
C. about 1.78 hours
Step-by-step explanation:
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
...............................................................................................................................................
Answer: about 1.78 hours
...............................................................................................................................................
t = k/r
2 = k/67
k = 134 (which happens to be the distance)
t = 134/r
t = 134/55
t = 2.436 hours
...............................................................................................................................................
The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours
...............................................................................................................................................
t = k/r\
4 hours and 35 miles per hour,
we find that k = 140.
Now use that 140 in another equation to solve for t:
t = 140/45, and
t = 3.1 hours
A company charges a shipping fee that is 4.5% of the purchase price for all items it ships. What is the fee to ship an item that costs $70? Round to the nearest cent (hundredths place).
Answer:
3.15 cents
Step-by-step explanation:
So, lets go over all the information we know.
First off, we know that the cost of the item is 70 dollars.
Secondly, we know that the fee is 4.5% of 70 dollars.
Now, what is 4.5%?
Well, we know that 100% is qual to 1.
So lets divide 4.5 by 100, which is just moving the decimal point back by 2:
0.045
Now, the last thing to do is multiply 0.045 by 70.
0.045x70
=
3.15
So now we know the fee for a 70 dollar item is 3.15 dollars!
Hope this helps ;)
What is the geometric mean of 18 and 49
Step-by-step explanation:
Geometric mean =√18×49√88229.69hope it helps.
Answer:
Below
Step-by-step explanation:
√(18*49)
= √882
= 29.70 to nearest hundredth.
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the MEAN of the temperatures. Round to the nearest tenths place.
A. 82.3
B. 89
C. 83
D. 78
Answer: A) 82.3
Step-by-step explanation:
Mean= average
To find mean, you add up all the numbers and divide by the number of numbers.
In this case you do:
(81+78+83+89+80+87+78) ÷ 7
81+78+83+89+80+87+78
=576
Now, divided by 7
576 ÷ 7
= 82.2857142857
Round to nearest tenths place
= 82.3
3. The fish tank shown at right needs to be cleaned. The cleaning product instructions state that three drops should be put in the tank for every 140 cubic inches of water. How many drops of cleaner should be used?
Drops = 27
First, we need to find the volume of the given tank using the following equation
[tex]Volume = Length*Width*Height\\Volume =14*9*10\\Volume =1260\\[/tex]
Now that we know the volume, we need to find out how many drops that we need to use. We can find that out using the following equation
[tex]Drops = 3\frac{Volume}{140} \\Drops = 3\frac{1260}{140} \\Drops = 3(9) \\Drops = 27[/tex]
In the isosceles trapezoid below,
x = [? ]°
5x-20°
2x+37°
Answer:
x = 19
Step-by-step explanation:
The lower base angles in an isosceles trapezoid are congruent , then
5x - 20 = 2x + 37 ( subtract 2x from both sides )
3x - 20 = 37 ( add 20 to both sides )
3x = 57 ( divide both sides by 3 )
x = 19
Daniel has 5 tiles, numbered 1 to 5, in a box.
* He randomly pulls out a tile and records the number.
* He places the tile bak into the box.
* He then pulls out another tile and records the number.
What is the probability the sum of the numbers on the two tiles is 8?
Group of answer choices
1/5
3/5
1/25
3/25
Answer:
3/25
Step-by-step explanation:
that's the answer I don't how to explain it
Answer: 1/25
Step-by-step explanation: The theoretical probability for any of the 5 tiles to be drawn is 1/5
1/5 x 1/5= 1/25
can someone do #2 pls
Answer:
its f
Step-by-step explanation:
Which expressions are differences of squares?
Select each correct answer.
Answer:
First two are difference in squares.
81=9^2 225=15^2Answer:
The expression which denotes the differences of squares is
n² - 225
As here 225 is a square of 15.
Hope it will help :)❤
Graph y=2x^2 please help
Answer:
there you go
Step-by-step explanation:
(help pls)
1. what is the probability of an event if event will never happen?
a. 0
b. 1
c. ½
d. ¼
2. which of the following can be the probability of an event?
a. -0.4
b. 1.004
c. 18 over 23
d. 10 over 7
Answer:
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
➳ 0.
➳ 18 over 23.
Answer:
0 is the correct answer if you won't understand than contact me
P , Q, R and S are four points on a circle
Answer:
Yes
Step-by-step explanation:
it is because they meet together
pls help me answer this question
Answer:
c
Step-by-step explanation:
10*10=100
100-78.54=21.46
so rounded answer is c or 21.5
goodluck on your test
Answer: Hello Luv......
C. 21.5
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
The slope of the line that passes through the points (-24, m) and (12,11) is 1/12. What is the value of m?
NO LINK
Answer:
Find the Slope = y2 - y1 / x2 - x1
= 6 - 2 / 12 - -4
= 4/16
= 1/4 This is the slope, m.
2) Now, plug m and one point into: y - y1 = m (x - x1)
y - 6 = 1/4 (x - 12) Distribute the 1/4
y - 6 = 1/4 * x - 3 Solve for y
y = 1/4*x - 3 + 6
y = 1/4*x + 3
Step-by-step explanation:
brainliest please?
The value of m for a line that passes through (-24, m) and (12,11) and have a slope of 1 / 12 is 8.
What ia a slope?The slope of a line is a measure of its steepness. The slope is rise divided by the run.
Therefore,
(-24, m)(12, 11)
slope = m = 1 / 12
slope = y₂ - y₁ / x₂ - x₁
Therefore,
x₁ = -24
x₂ = 12
y₁ = m
y₂ = 11
1 / 12 = 11 - m / 12 + 24
1 / 12 = 11 - m / 36
cross multiply
36 = 12(11 - m)
36 = 132 - 12m
36 - 132 = -12m
-96 = -12m
m = 96 / 12
m = 8
learn more on slope here:https://brainly.com/question/13929101
In the triangle below, find the measurements of the unknown angles. A. 75º, 105° B. 40°, 80 c. 5° 10° D. 250 50 E. 35°, 70
Answer:
A=35
Step-by-step explanation:
180-75=105, 105÷3=35, 35×2=70, 35+70+75=180
Do Whole numbers include negative numbers? Please help, thanks!
Answer:
negative numbers aren't whole numbers but they are considered to be integers
Answer:Whole numbers don't include negative numbers, fractions, or decimals.
Step-by-step explanation:
depends please comment give more ifnomation on what you are saying if you dont understand
If x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the
new equation be?
O A. h(x) = 4(x - 5)2 + 14
B. h(x) = 4(x + 5)2 - 17
C. h(x) = 4(x-18)2 - 5
D. h(x) = 4(x - 5)2 - 18
Answer:
D
Step-by-step explanation:
To shift h units to the right, replace x with x - h
To shift h units to the left, replace x with x + h.
To shift k units up, add k to the end of the formula for the function.
To shift k units down, subtract k from the end of the formula.
Example: [tex]y=x^2[/tex]
[tex]y=(x+2)^2+6[/tex] is [tex]y=x^2[/tex] shifted left 2 units and up 6 units.
Caution: the right/left shifts sometimes look backwards!
2+2=4 got it right took the test.
Answer:
Good for you
Step-by-step explanation:
hereeeeeee plsssssss answeeeeerrrr im desperateeeee wil give brainliest plus 25 points!!
Answer:
b
Step-by-step explanation:
Answer:
second one
Step-by-step explanation:
look at the lines. the first line is at the 58 mark.
next one is at the 70, then 78, 86, and 96.
pedro tenia 80.000 y gasto el 25% ¿cuanto dinero le queda?
Are these two angles complementary, supplementary, or neither? NEED HELP ASAP
A Complementary Angles
B Supplementary Angles
C Neither
Answer:
A Complementary Angles
Step-by-step explanation:
PLS DO THIS
NO LINK I WILL REPORT U
Answer:
The mode is the number that occurs the most which would be 8.
Step-by-step explanation:
For example
2, 3, 4, 4, 5
The mode would be 4 since it's the most frequent.
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school. How many children in Eric's school have red hair?
Answer:
35
Step-by-step explanation:
525/75=7x5=35
The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.
Then the number of the children in Eric's school who has red hair will be
Let x be the number of the children. Then we have
[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
What is the slope of a line that goes through (3, -2) and (-2, 5) ?
Answer:
-7/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-2))/(-2-3)
m=(5+2)/-5
m=7/-5
Alyssa was out at a restaurant for dinner when the bill came. Her dinner came to $25
She wanted to leave a 27% tip. How much was her meal plus the tip, before tax, in
dollars and cents?