Answer:
X < 7/2
Step-by-step explanation:
Move the variable to the left, separate into possible cases , solve, find the intersections, find the union, and then you get your solution.
Step-by-step explanation:
Given that:
|2x-7| = 7-2x
⇛2x-7 = 7-2x or -(7-2x)
since |x| = a ⇛ x = a or x = -a
⇛2x-7 = 7-2x or 2x-7 = 2x-7
Shift all variables on LHS and constant on RHS, changing it's sign.
⇛2x+2x = 7+7
Add the values on LHS and RHS.
⇛4x = 14
Shift the number 4 from LHS to RHS.
⇛x = 14/4
Write the fraction in lowest form by cancelling method.
⇛ x = {(14÷2)/(4÷2)}
⇛x = 7/2
There is no solution for negative value
x = 7/2
Please let me know if you have any other questions.
The dot plots show the numbers of miles Nicole rode on her bicycle on several days in two
different months.
March
April
X
>
10
10
Number of Miles Biked Each Day
Number of Mies Biked Each Day
Which statement is best supported by the information?
A. The distribution of the data is approximately symmetrical for both sets of data
B. The mean of the number of miles Nicole rode each day in April is greater than the mean of
the number of miles Nicole rode each day in March
C. The range of the number of miles Nicole rode each day in March is equal to the range of the
number of miles Nicole rode each day in April
D. The median of the number of miles Nicole rode each day in March is less than the median
of the number of miles Nicole rode each day in April
No
I need to know they answers below please hurry
Answer:
A) 2
B) 0
C) 1
Step-by-step explanation:
The pool at a resort needs a fence added around its lounge area for safety. The pool measures 20 feet by 40 feet and the lounge area is 10 feet on each side of the pool. How much fence is needed to go around all four sides of the lounge area?
Answer:
The amount of fence needed to surround the mentioned space is:
200 feet.Step-by-step explanation:
To identify the amount of fence, you must take all the measurements given in the exercise:
Pool width = 20 ftPool length = 40 ftAditional area in each side = 10 ftAs each side has 10 additional feet, that is the lounge area, you must add 20 feet to each side of the pool, this is because, in the case of the width, you must add 10 feet to the right side and 10 feet to the left side, in the case of the length, you must add to each side 10 feet to the upper part and 10 feet to the lower part, in this form, the measurements of the fence must be:
Width of fenced area = 40 ftLength of fenced area = 60 ftAs you know, the length has two sides and the length has two sides too, by this reason, we must multiply each value by 2 to obtain the amount of fence to all four sides of the lounge area:
Amount of fence = 2(40 ft) + 2(60 ft)Amount of fence = 80 ft + 120 ftAmount of fence = 200 ftAs you can see, the amount of fence needed to go around the lounge area is 200 feet.
3 cm 15 cm 18 cm What volume of nuts could the container hold? a 270 cm b 869 cm c 738 cm d810 cm
Answer:
d-810 cm
Step-by-step explanation:
mutiply
3x15x18=810
The perimeter of a square is 100. The side length is represented by 2x+3. Solve for x.
Answer:
4×side length=perimeter of the square
4×(2x+3) = 100
2x+3 = 25
2x=25-3=22
x=11
A rectangle prism has a base with an area of 20 square centimeters and a height of 3 centimeters. What is the volume of the prism?
Answer:
Step-by-step explanation:
The volume of a rectangular prism is shown below:
We are given the an area of
173.6
cm
and a height of
9
cm
.
We also know that the formula for area is
l
w
, meaning we can substitute the area for
l
w
in the volume formula.
Now let's plug in what we know into the formula and solve for the volume:
V
=
(
173.6 cm
2
)
(
9 cm
)
=1562.4 cm
3
The volume of the rectangular prism is
1562.4 cm
3
.
1121314 5 -
The top, front, and side views of a rectangular prism are shown.
top view
front view
(1) side view
How many unit cubes are used to build the solid?
unit cubes are used to build the solid.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the views are not shown.
So, I will answer this question with the attached views of a rectangular prism.
Required
The number of cubes used
For the attached views of the rectangular prism, we will make use of the following representations
Top view [tex]\to[/tex] Width
Front view [tex]\to[/tex] Height
Side view [tex]\to[/tex] Length
So, we have:
[tex]Width = 2 units[/tex]
[tex]Height = 6 units[/tex]
[tex]Length = 1\ unit[/tex]
The number of cubes is calculated by solving for the volume of the prism.
For a rectangular prism, the volume is:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = 2 * 6 * 1[/tex]
[tex]Volume = 12[/tex]
This implies that 12 cubes were used to build the solid.
Find the ratio in simplest form.
a) 24 to 56
A ladder leaning against a wall makes an angle of 75° with the ground. If the foot of the ladder is 6 feet from the base of the wall, what is the length of the ladder?
Answer:
the length of the latter would be 23 feet because we know one angle is 75 and the angle against the wall is 90 and the base is 6 feet answer is 23 feet
Step-by-step explanation:
To solve this problem, we make use of the geometry that forms between the wall, the floor and the ladder. A rectangular triangle is formed due to the right angle on the wall
Make sure to see the picture
Answer:
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Step-by-step explanation:
Which of the following sentences is true?
Select one:
a. 82.349 is less than 82.347.
b. 5.324 is less than 5.314.
c. 20.544 is greater than 20.844.
d. 19.532 is greater than 19.522.
don't use files
hello there. can you help with this. thank you :D
you get 20 points ^^
Answer:
A - 3
B - 5
C - 1
D - 2
E - 6
F - 4
Sorry too tired to explain ;-;
But hope this helped, and yes, it is for sure correct!
(pls consider brainliest? :D)
solve , (7*7) +(8*8). ASAP. please
Answer:
[tex](7 \times 7) + (8 \times 8) \\ = {7}^{2} + {8}^{2} \\ = 49 + 64 \\ = 113[/tex]
Step-by-step explanation:
hope it is helpful to you
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2
marbles one after the other without replacement, then what is the probability that both
are red in color? Are the two events independent or dependent?
again plssssssssssssssssssssssssssssssssssssssssss
Answer:
C. [tex]y=5x+620[/tex]
Step-by-step explanation:
How wide is the pond?
20ft
Step-by-step explanation:
lil kitty on the roof all aloe without his lady
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
9514 1404 393
Answer:
A
Step-by-step explanation:
If the price of a hot dog is x, then the price of two hot dogs is 2x, and the price of 3 of them is 3x.
If the price of a drink is y, then the price of 2 drinks is 2y.
So, we have the price of 2 hotdogs and 2 drinks is 4.75.
2x + 2y = 4.75
And the price of 3 hot dogs and 1 drink is 7.75.
3x + y = 7.75
This pair of equations matches those in choice A.
_____
Comment on the question
We know right away that something is screwy here, because the cost of two hotdogs and 2 drinks should be an even number. 4.75 is not an even number. If we solve this set of equations, we find the cost of a drink is negative—not something you're likely to see in the real world.
So, this is an exercise in writing equations. It has nothing to do with finding real prices.
Determine the intercepts of the line.
X-intercept (__,__)
Y-intercept (__,__)
Help please!
Answer:
x-int = (-40,0)
y-int = (0,15)
Step-by-step explanation:
:D
Find the length of c using the Pythagorean thereom
Answer:
c = 13
Step-by-step explanation:
1. Pythagorean theorem states that c^2 = a^2 + b^2
2. In this case, a = 5, b = 12. Therefore, the equation is:
c^2 = 5^2 + 12^2
3. c^2 = 25+144 = 169
4. square root both sides
5. c = 13, c = -13
6. c = 13 since a length cannot be negative.
7. Final answer: C = 13
PLEASE HELP WILL MARK BRANLIEST. There are twelve shirts in your closet, four blue and eight green. You randomly select one to wear on monday and then a different one on tuesday. you wear a blue shirt on monday and a green shirt on tuesday.
Answer:
[tex]\frac{4}{8} = \frac{2}{4}[/tex]
how do you factor this trinomial? 2x² + 9x - 18
Factor by grouping.
(2x + 3)(x − 6)
Answer:
(2x-3) (x+6)
Hope this helps :)
The answer has to be a simplified fraction ?
Answer:
[tex]-\frac{27}{35}[/tex]
Step-by-step explanation:
Multiply [tex]\frac{3}{7}[/tex] [tex](-\frac{9}{5})[/tex].
Several cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height. Tyler bought a wedge. He measured the arc length of the wedge to be 12 cm and the radius to be 8 cm. Priya bought a wedge that came from a circular cheese block with radius 9 cm. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.
Tyler's wedge is larger
The arc length of Priya's wedge is only 9.42, and Tyler's is 12
Tayler's wedge is larger.
What is arc length?"Arc length is the distance along the part of the circumference of any circle."
Formula to calculate the circumference of a circle:S = 2 × π × r
where, r is the radius of the radius of a circle
In this question,
Tyler bought a wedge shaped cheese with arc length 12 cm and radius 8 cm.
Priya bought a wedge that came from a circular cheese block with radius 9 cm and the block was cut into 6 congruent sectors.
The circumference of circular cheese block with radius 9 cm would be,
⇒ s = 2 × π × 9
⇒ s = 18π cm
Since, the block was cut into 6 congruent sectors.
The arc length of each block would be, 18π / 6 = 3π cm
That is, 9.43 cm
Since 12 > 9.43, Tayler's wedge is larger.
Learn more about arc length here:
https://brainly.com/question/23856381
#SPJ2
What is 0.7¯¯¯¯¯ expressed as a fraction? Enter your answer, as a fraction in simplest form, in the box.
Answer:
7/10
Step-by-step explanation: Imagine a pizza is divided in ten equal parts and you are given 7 out of 10 of the pizza .this means you have been given 7/10 of the pizza
Answer:7/9
Step-by-step explanation:
A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
Find their present ages.
Answer:
Age of son = 6 years
Age of man = 5×6 = 30 years
Step-by-step explanation:
GIVEN :-
A man is 5 times as old as his son. (In Present)4 years ago , the man was 13 times as old as his sonTO FIND :-
The present ages of the man & his son.SOLUTION :-
Let the present age of son be 'x'.
⇒ Present age of man = 5x
4 years ago ,
Age of son = (Present age of son) - 4 = x - 4
Age of man = (Present age of man) - 4 = 5x - 4
The man was thirteen times as old as his son. So,
[tex]=> 5x - 4 = 13(x - 4)[/tex]
Now , solve the equation.
Open the brackets in R.H.S.[tex]=> 5x - 4 = 13x - 52[/tex]
Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.[tex]=> 13x - 5x = 52 - 4[/tex]
[tex]=> 8x = 48[/tex]
Divide both the sides by 8[tex]=> \frac{8x}{8} = \frac{48}{8}[/tex]
[tex]=> x = 6[/tex]
CONCLUSION :-
Age of son = 6 years
Age of man = 5×6 = 30 years
The price of Maryam’s grocery bill was reduced from $80 to $60. By what percentage was her grocery bill reduced?
Answer:
25%
Step-by-step explanation:
have a good day! :)
I need help quick!!!
help meeeeeeeeeeeeeeee. this is due tomorrow
Answer:
common difference increases by 2 times
d = (2×12) = 24
[tex] {a}^{4} + {b}^{4} + {c}^{4} = (22 + (12 \times 2)) \\ = 46[/tex]
Disinfecting wipes cost $12 a package. The store marks up the wipes 40%. What is the store selling price for the disinfecting wipes?
Answer: $16.80
Step-by-step explanation:
The disinfecting wipes cost $12 for the store to buy one.
They then add a 40% mark up.
Find out what 40% of $12 is:
= 40% * 12
= $4.80
Add the markup to the cost to find the selling price:
= 12 + 4.80
= $16.80
Find the distance:
Speed = 99 km/h, Time = 40 mins
Step-by-step explanation:
Speed= distance/time
Speed=99 km/h /40 mins
Speed= 2,475 km/h
Answer:60km
Step-y-step explanation:
distance=Speed*Time
distance=90*(40/60)=60km
Evaluate the logarithm. log7 49
Answer:
Step-by-step explanation:
Rewrite log7(49)=x log 7 ( 49 ) = x in exponential form using the definition of a logarithm. If x and b are positive real numbers and b does not equal 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .
Step-by-step explanation:
It is 2I hope that is useful for you :)