The mean age of 5 people in a room is 40 years. A person enters the room. The mean age is now 39. What is the age of the person who entered the room?
Answer:
10 years old :)
Grade improvement and study motivation
Step-by-step explanation:
fng-mrxb-dop p.l.e.a.s.e join
What is the volume of this triangular pyramid?
Answer: 540 ft³
Step-by-step explanation:
The volume of pyramids is [tex]\frac{1}{3} Bh[/tex], where:
B = area of base = [tex]\frac{15*18}{2} =\frac{270}{2} =135ft[/tex] h = height = 12ftTherefore, the volume = [tex]\frac{1}{3} (135)(12)=\frac{1}{3}(1620)=\frac{1620}{3} =540[/tex]
Draw 2 line segments, each 4 cm in length, intersecting at their midpoints. Connect each endpoint to each adjacent endpoint to form a quadrilateral. What is the maximum number of square centimeters possible in the area of the quadrilateral?
Answer:
8
Step-by-step explanation:
The maximum area will be a square. Everything else will have a height less than one of the sides of the square.
Use Pythagoras to find the length of the side of the square.
s^2 = 2^2 + 2^2
s^2 = 8
s = 2sqrt(2)
s^2 = 8
the square will have 8 cm^2
Simplify 7x - (3x+2)
Pleaseeeee
Hi there!
[tex]\large\boxed{4x - 2}[/tex]
7x - (3x + 2)
Simplify by distributing the negative sign:
7x - (3x) - (2)
Combine like terms:
4x - 2
Answer:
2(2x - 1)
Step-by-step explanation:
opening the parenthesis and distributing the - sign to both 3x and 2
= 7x - 3x - 2
= 4x - 2
taking 2 common
= 2 (2x - 1)
Tony calculates that 3 cubic metres of concrete is enough for the path.
He decides to use a concrete mix which has:
cement = 1 part
sand = 2 parts
gravel = 3 parts
How many cubic metres of gravel does Tony need?
Answer:
Amount cubic metres of gravel need = 1.5 cubic meter
Step-by-step explanation:
Given:
Parts
cement = 1 part
sand = 2 parts
gravel = 3 parts
Find:
Amount cubic metres of gravel need
Computation:
Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]
Amount cubic metres of gravel need = 3[3 / (1+2+3)]
Amount cubic metres of gravel need = 3[3 / 6]
Amount cubic metres of gravel need = 3[0.5]
Amount cubic metres of gravel need = 1.5 cubic meter
the number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24. What could be the two digit number? List all options.
Answer:
98, 68, 44, 20
Step-by-step explanation:
we can write the other two-digit number as:
a*10 + b
Where both a and b are single-digit numbers.
When we "attach" this at the right of 55, the number that we get is:
5500 + a*10 + b
And this number is divisible by 24 if it is divisible by 3 and 8.
A number is divisible by 8 if the sum of its digits is divisible by 3, then we must have:
5 + 5 + a + b = multiple of 3 = n*3
A number is divisible by 8 if the last 3 digits are divisible by 8, then:
500 + b*10 + a = multiple of 8 = m*8
First we can use the second relation to find the value of b:
500 + b*10 + a = m*8
so we need to find a multiple of 8 that is in the range (500, 599)
for example, if we use:
8*65 = 520
Then we have:
b = 2
a = 0
5504, 5512, 5520, 5528, 5536, 5544, 5552, 5560, 5568, 5576, 5584, 5582, 5590, 5598.
Now we just need to see if these are divisible by 4.
5504:
5 + 5 + 0 + 4 = 14
not divisible by 3.
5512:
5 + 5+ 1 + 2 = 13
not divisible by 13
5520:
5 + 5 + 2+ 0 = 12
divisible by 3, then 20 is a option.
5528:
5 + 5 + 2 + 8 = 20
not divisible by 3
5536:
5 + 5 + 3 + 6 = 19
not divisible by 3
5544:
5 + 5 + 4 + 4 = 18
is divisible by 3, then 44 is a option.
5552:
5 + 5 + 5+ 2 = 17
not divisible by 3
5560:
5 + 5 + 6 + 0 = 16
not divisible by 3
5568:
5 + 5 + 6 +8 = 24
divisible by 3, then 68 is an option
5576:
5 +5 + 7 + 6 = 23
not divisible by 3
5582:
5 +5 + 8 + 2 = 20
not divisible by 3
5590:
5 +5 +9 + 0 = 19
not divisible by 3
5598:
5 + 5 + 9 + 8 = 27
is divisible by 3, thus 98 is an option.
Then the possible options are:
98, 68, 44, 20
Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?
$0.25
$0.37
$0.45
$0.55 Which is it ?
Answer:
1.98*1/8=0.2475
0.2475=0.25
Please help me solve this
Answer:
The 2nd one is 3x+1
The 3rd answer is x+3
Step-by-step explanation:
Given g(x)=4x-1 and f(x)=x-2
Subtracting both
4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1
The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3
Find the slope
of the line passing through the points (3, 4)
and
(8, -3).
Answer:
-7/5
Step-by-step explanation:
I think let me know
Answer:
7/-5 or -7/5
Step-by-step explanation:
This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)
We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula
(3,4). (8,-3)
x1,y1 x2,y2
Slope Formula:
y1 - y2
x1 - x2
Inputting the values:
4 - (-3)
3 - 8
Solve:
7
-5
The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions
I’m practically begging someone please help me!!
Find the absolute value
[5] = ________
Answer:
5
Step-by-step explanation:
the absolute value of a number is its distance from zero on a number line. so the absolute value of 5 is 5.
July and two of her friends are going to share 1/4 of a pizza. How much will each person get?
Answer:
1/12
Step-by-step explanation:
Age old help!!!!!!
…….
Answer:
Zoe was 32 years old, which was 4 years ago.
Step-by-step explanation:
When Zoe was 36 years old, her daughter was 1/3 her age, or 12 years old. Therefore, the difference in ages is 24 years.
So, our equation becomes:
4(Z-24) = Z
4Z - 96 = Z
3Z = 96
Z = 32
Assuming Zoe is 36 years old right now, our answer is 4 years ago.
Hope this helped,
~cloud
Since the daughter is 1/3 Zoe's age, she must be 12 since 1/3 of 36 is 12.
Then make a chart like I have done in the image attached.
Since the problem says "how many years ago", we use
our x years ago column in our chart to setup the equation.
If you need any additional help or are confused on a step, let me know!
help please i’ve been in here for hours oookung for answers
Answer:
f(x) = 3.33x - 7
Step-by-step explanation:
We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,
[tex]\rm\implies y = mx + c [/tex]
where ,
m is slopec is y intercept .Here we can see that the line is passing through (0,-7) . Therefore ,
[tex]\rm\implies y- intercept = -7[/tex]
Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,
[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]
Using Slope Intercept Form :-
[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]
Without plotting these numbers, decide which inequalities are true. Check all that apply.
Square root of 7 > 2
Square root of 7 <7
Square root of 7< square root of 8
Square root of 8<2
Square root of 8<8
Answer:
1st,2nd,3rd, and 5th option
Step-by-step explanation:
Let convert the intergers into radical numbers
[tex] \sqrt{7} > \sqrt{4} [/tex]
[tex] \sqrt{7} < \sqrt{49} [/tex]
[tex] \sqrt{7} < \sqrt{8} [/tex]
[tex] \sqrt{8 } < \sqrt{4} [/tex]
[tex] \sqrt{8} < \sqrt{64} [/tex]
As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,
The first option, Second Option, Third Option, and Fifth Option are true.
Answer:
A, B, C, E
Step-by-step explanation:
Did on edg. its right
Tiffany drove from New York to California over the course of 8 days. Each day, she took a one- hour lunch break and a two-hour dinner break. What fraction of the total number of hours in these eight days did she spend breaking for lunch and dinner?
A. 1/8
B. 1/6
C. 1/4
D. 3/8
A cat is running away from a dog at a speed of 3 m/s. Originally, the distance between them was 48 meters. What should be the speed of the dog to catch up with the cat in 1 minute?
Answer:
3.8
Step-by-step explanation:
3*60=180
180+48=228
228/60=3.8
What is the value of s?
____units
Answer:
[tex]\huge\boxed{s=17}[/tex]
Step-by-step explanation:
ΔADB is the right triangle with a right angle in vertex B. We can use the Pythagorean theorem.
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=15\\leg=8\\hypotenuse=s[/tex]
Substitute:
[tex]s^2=15^2+8^2\\\\s^2=225+64\\\\s^2=289\Rightarrow s=\sqrt{289}\\\\s=17[/tex]
Question 2 of 5
Which two ratios represent quantities that are proportional?
Answer: A
Step-by-step explanation:
(22)(21)=(14)(33)
Write an expression equivalent to 6(x+y)-5 and state which property you used to write
Answer:
6x+6y-5 distributive property
Step-by-step explanation:
6(x+y)-5
Distribute using the distributive property
6x+6y-5
hey can someone help me? thanks
Select the correct answer.
Function ris a continuous rational function with a horizontal asymptote at y = -8.
Which statement describes the key features of s(t) = (x +2) – 12
A. Function s is continuous and has a horizontal asymptote at y = -1.
В. Function shas a point of discontinuity at I = -2 and a horizontal asymptote at y= -9.
C. Function s has a point of discontinuity at r = -2 and a horizontal asymptote at y = -1.
D. Function sis continuous and has a horizontal asymptote at y = -9.
s(x) is continuous and has a horizontal asymptote at y = -9
We know that we have a function r(x) that has a horizontal asymptote at y = -8
Then, what can we say about the function s(x) = r(x + 2) - 1 ?
Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.
So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.
So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.
Then is easy to conclude that:
r(x + 2) also has a horizontal asymptote at y = -8
And our function is:
s(x) = r(x + 2) - 1
So we are subtracting one, then that horizontal asymptote will be at:
y = -8 - 1 = -9
The function s(x) has a horizontal asymptote at y = -9
And because r(x) is continuous, then:
s(x) = r(x + 2) - 1
is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)
Then the correct option is D.
"s(x) is continuous and has a horizontal asymptote at y = -9"
If you want to read more, you can see:
https://brainly.com/question/4084552
Can you answer this math homework? Please!
Answer:
The system has one solution,
Both lines have the same y-intercept,
The solution is the intersection of the 2 lines.
Step-by-step explanation:
please help I will give 10 points
Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
Suppose that you want to design a cylinder with the same volume as a given cylinder but you want to use a diff radius and height in general terms can you change r and h to produce the same volume for both cylinders
Answer:
Yes, r and h can be changed to produce same volume by;
Increasing "r" and decreasing "h" or by decreasing "r" and increasing "h".
Step-by-step explanation:
What the question is simply asking is if we can get same volume of a particular cylinder if we change the radius and height.
Now, volume of a cylinder is;
V = πr²h
Now, for the volume to remain the same, if we increase "r", it means we have to decrease "h", likewise, if we decrease "r", we now have to increase "h".
cos(30 +x) =5/3 find x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
I get no solution also (the answer is imaginary).
please help me with this
Answer:
false
Step-by-step explanation:
If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"
Answer: False
Step-by-step explanation: When x is at least 2, x would be greater than or equal to 2. X cannot be less than 2. So, it should be x >= 2.
Hope this helped.
the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.
Let n be the smallest of the three numbers. Then
n + (n + 1) + (n + 2) = 5 ((n + 1) - 22)
Solve for n :
3n + 3 = 5 (n - 21)
3n + 3 = 5n - 105
2n = 108
n = 54
Then the three numbers are 54, 55, and 56.
what is -1/4 as a decimal? help me!!
Answer:
- 0.25
Step-by-step explanation:
Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.
Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?
Answer:
12 miles
Step-by-step explanation:
1/3 of an hour = 20 minutes = 4 miles
1 minute = 4/20 miles
60 minutes = 4/20 x 60 miles
= 4 x 3 miles
= 12 miles
60 minutes = 1 hour
=> 1 hour = 12 miles
Jacks unit rate is 12 miles/hr
Answer:
12
Step-by-step explanation:
There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round
4/0.333333333 = 12.000000001
The answer is obviously meant to be 12.
The other way is more sophisticated, but more accurate.
4/1 // 1/3 This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.
4/1 * 3/1 = 12
The first method is easier to understand. The second is more accurate and more useful for physics.
