Answer: 4 inches by 6 inches or 8 inches by 3 inches.
Step-by-step explanation:
The area of a rectangle is A = W*L
where L is the width and L is the lenght.
Now, the original rectangle has a measure of 8 in by 6 in.
if 8in is the lenght and 6 in is the width.
We want to divide only one of those measures in equal parts, such that when we take the product of the end results is equal to 24 in.
If we divide the lenght by half (so both parts will have the same width as this did not change), we now have that the lenght is 8in/2 = 4in and the width is 6in.
Now the area is 4in*6in = 24in, which is the area that we where looking for.
We also could cut the width in half, and get the dimensions 8 inches by 3 inches.
What is the standard notation of 415 km?
Answer:
The answer is 415 because it is already in standard notation.
Part A
The dot plot shows the daily lunch money of a group of students.
Each dot represents one student.
1
6
2 3 4 5
Daily Pocket Money ($)
What is the mean daily pocket money?
*diagram of the dot plot is attached below
Answer:
$2.15
Step-by-step Explanation:
Mean daily pocket money or average daily pocket if the group if students shown in the for plot that is attached below = the sum of the pocket money received by the students ÷ the total number of students.
From the diagram of the dot box attached below, the total number if students = 13 (each dot represents a student)
Sum of the pocket money received by the students = 4(1) + 5(2) + 3(2) + 4(2)
= 4 + 10 + 6 + 8
Sum = 28
Therefore, mean daily pocket money = 28 ÷ 13 = $2.15
For their twentieth wedding anniversary, Richard and Sylvia had a party for several of their best friends. Things were going along just fine until one of their friends asked the happy couple who was older! Here's what they had to say. Richard: "I am older than my wife." Sylvia: "I am younger than my husband." That might have been the end of it, but one of the guests knew that at least one member of the couple was lying. Well, who is older, Richard or Sylvia?
Answer:
Richard is older
Step-by-step explanation:
We can set up an inequality for both statements.
Let r equal Richard's age and s equal Sylvia's age.
"I am older than my wife."
Since Richard is speaking, the inequality would look like this:
r > s
This means Richard is older than Sylvia.
"I am younger than my husband."
Since Sylvia is speaking, the inequality would look like this:
s < r
This means that Sylvia is younger than Richard.
We can flip one inequality to "see" them from the same perspective.
Let's use s < r
To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.
s < r
to
r > s
The inequality from the first quote is identical to this one!
Therefore, Richard is older than Sylvia.
If the Walmart is 15 minutes away from my house why hasn't my dad come back with the milk it has been 14 years??
Answer:
because he left you and your mom and now you are sad because you have no dad also yer dads j e r k
Step-by-step explanation:
Answer:
he is walking 5000000000000000000000000000% slower than a sloth
Step-by-step explanation:
sloths are slow
I don’t get it please help
Answer: 50, 75, 40, 125
Step-by-step explanation:
a) x = 5*20/2 = 50
b) x = 5*30/2 = 75
c) x = 2*100/5 = 40
d) x = 5*50/2 = 125
Lines m and n are parallel. What is Measure of angle 2?
Answer:
67
Step-by-step explanation:
please help me quickly !!!
Answer:
The first part is [tex]4+12x=28[/tex]
The second part is multiply both sides by 4
The third part is (not sure cause i got subtract 16 from both sides) but i think it is subtract 3 to both sides
The fourth part is [tex]x=8[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\left(16+12x\right)=28\\\mathrm{Multiply\:both\:sides\:by\:}4\\4\cdot \frac{1}{4}\left(16+12x\right)=28\cdot \:44\cdot \frac{1}{4}\left(16+12x\right)=28\cdot \:4\\Simplify\\16+12x=112\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\16+12x-16=112-16\\\mathrm{Simplify}\\12x=96\\\mathrm{Divide\:both\:sides\:by\:}12\\\frac{12x}{12}=\frac{96}{12}\\Simplify\\x=8[/tex]
joy and Peter were each walking along a straight road. Joy walked 1800 meters in 1/3 hour. Peter walked 1/2 of joy's distance in 1/5 hour.
1. What was joy's average walking speed
2. How much did Peter walk in 1/5 hour
3. What is peter's average walking speed
4. Joy walks how much meters/hours faster, slower, or as fast as
What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(5x)?
Answer:
Step-by-step explanation:
If the parent function is f(x) = x² and the transformed function is g(x) = a(x)²
For a > 1, then the transformed function g(x) will be vertically stretched by a factor of 'a'
For 0 < a < 1, then the transformed function will be vertically compressed or shrink by a factor of 'a'
For a function f(x) = x² when transformed to f(5x) = (5x)²
g(x) = 25x²
Therefore, graph of the parent function f(x) will be vertically stretched by 25 units.
All natural numbers excluding 1 and prime numbers are best described as?
___________________
Answer:
Composite Numbers.
A softball is thrown from the top of a 30ft building. The height of the ball is modeled by
h(t) = -16ť? + 20+ + 30
where t is time in seconds.
How long does it take for the ball to hit the ground?
Question to answer: How long does it take for the ball to hit the ground? Round to the nearest tenth.
The ball hits the ground at
seconds.
Answer:
2 seconds
Step-by-step explanation:
When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:
[tex]0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0[/tex]
Factor:
[tex]-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2[/tex]
Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!
20 POINTS !! PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !!
Answer:
c. 81
Step-by-step explanation:
(x^3)^1/6= √81
x^(3*1/6)= √81
x^(1/2)= √81
√x=√81
x=81
Griffin ordered a pair of sneakers online. He had a $22 credit that he applied toward the purchase, and then he used a credit card to pay for the rest of the cost. If the shoes cost $65, how much did Griffin charge to his credit card when he bought the sneakers?
Answer:$43
Step-by-step explanation:
65 -22 =43
PLEEEEEEEEEASE HEEEEEEEEELP
In a large harbour there are many docks, labeled alphabetically, which are built side by side in a straight line. Dock A and Dock K are located 2.3 km apart along this line. There is a Dock L on an island outside the harbour such that is 45° and is 64°. How far is the island dock away from each of the other two docks?
Answer:
distance island dock to Dock A = 4.99 km
distance island dock to Dock K = 6.35 km
Step-by-step explanation:
Always make a scetch to visualize the situation.
You need to construct two triangle both with a streight angle, so you can use Pythagoras to calculate the unknown distances between the island dock L, and each of the other two docks A an K.
I chose to introduce an extra letter, the letter C. In total you have the letters A K L and the letter C.
The letter C has a streight angle of 90° between ACL and it has the same streight angle of 90° with KCL. It is crucial that you see that the distance of LC is exactly the same in triangle LAC and that LC has exactly the same distance in the other triangleLKC.
The distance between AK = 2.3 km.
I define the distance between K and point C as 2.3 + x, because the distance x is unknown.
KC = 2.3 + x
Further more, when you make a picture, you can see that the distance between A and point C = x.
From such a picture, it would show clearly, that K is further away in respect to L then point A. From the picture it would be clear that the angle of LKC is smaller then the angle of LAC, so LKC = 45° and LAC = 64°.
Because angle LKC = 45° and we choose C to have an angle of 90°, the TRIANGLE LKC must be a special triangle... In any triangle, the sum of the three angles together, must add up to 180° .
If that is true, then we have 45 + 90 + 45 (because that adds up to 180). Now that means triangle LKC must have two equal sides (because of the same angels of 45° ).
So we know the distance KC = LC and we already defined KC = 2.3 + x.
Now we know enough to solve the problem.
AK = 2.3 km
angle of LKC = 45°
angle of LAC = 64°
AC = x
KC = 2.3 + x
LC = KC
LC = 2.3 + x
Try to calculate the distance x by using tan. After that you can use Pythagoras to find the other distances.
tan(LKC) = ( LC ) / ( KC )
tan(LKC) = ( x+2.3 ) / ( x+2.3 )
That is not helpful. Let's try the other triangle...
tan(LAC) = LC / AC
tan(LAC) = ( x+2.3 ) / x
tan(64) = ( x+2.3 ) / x
Solve the equation which means you try to find the value for x.
x * tan(64) = ( x+2.3 )
tan(64) * x -x = 2.3
tan(64) * x - 1* x = 2.3
Try to get x outside of the braquets...
x* ( tan(64) - 1 ) = 2.3
x* (2.0503038415793 - 1 ) = 2.3
1.0503038415793 * x = 2.3
x = 2.3 / 1.0503038415793
x = 2.19
Now use Pythagoras a² + b² = c² in triangle LAC to find distance LA.
LA² = AC² + LC²
AC = x = 2.19
LC = 2.3 + x = 4.39
LA² = 2.19² + 4.39²
LA = SQRT( 4.79 + 20.16 )
LA = SQRT( 24.95 )
LA = 4.99 km
Now use Pythagoras a² + b² = c² in triangle LKC to find distance LK.
LK² = KC² + LC²
KC = 2.3 + x = 4.39
LC = 2.3 + x = 4.39
LK² = 4.39² + 4.39²
LK = SQRT( 20.16 + 20.16 )
LK = SQRT( 40.32 )
LK = 6.35 km
Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
Answer:
it is 6x²+ 9x- 15
Step-by-step explanation:
2=n/3 n=? Please answer as quick as possible thx
Answer:
[tex] \boxed{n = 6} [/tex]
Step-by-step explanation:
[tex] = > 2 = \frac{n}{3} \\ \\ = > \frac{n}{3} = 2 \\ \\ = > n = 2 \times 3 \\ \\ = > n = 6[/tex]
Complete the steps to solve for x 5/8x-1/3x=7
25x⁴+4x⁴y²+4y⁴ please answer this question
Answer:
(5x²+2y² + 2xy)(5x²+2y² - 2xy)
Step-by-step explanation:
It must be: 25x⁴+4x²y²+4y⁴
Then solution is:
25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)What is the hourly revenue if there is no decrease in price?
Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 6?
A. 3
B. 4
C. 5
D. 6
We will find that there are 5 outcomes where the sum of the numbers on the dice adds up to 6.
In how many different ways can he roll a sum of 6?We want to see how many outcomes are there where the sum of the two dice is equal to 6. Each dice has 6 outcomes, which are:
{1, 2, 3, 4, 5, 6}
For rolling two dice with 6 outcomes each, the total number of outcomes is:
6*6 = 36
For rolling two dice, we can use the notation:
dice 1, dice 2
And we can also write the sum, so we will only look at the outcomes where the sum is 6.
dice 1, dice 2, Sum
1 5 1 + 5 = 6
5 1 5 + 1 = 6
2 4 2 + 4 = 6
4 2 4 + 2 = 6
3 3 3 + 3 = 6
So there are 5 outcomes where the sum is equal to 6, so the correct option is B
Learn more about outcomes:
https://brainly.com/question/25688842
#SPJ1
Answer:
C
Step-by-step explanation:
the other guy explains it better, but i took the quiz, so I can confirm
Whats the square root of 10000
Answer: 100
Step-by-step explanation:
Answer:
The square root of 10000 is 100
Step-by-step explanation:
In circle Y, what is m 21?
6°
25°
31°
37°
What is the product of 3/4 and -6/7?
Answer:
-0.64285714285
Step-by-step explanation:
To 1 d.p. -0.6
Answer:
[tex]-\frac{9}{14}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} *(-\frac{6}{7})=\\\\-\frac{3*6}{4*7} =\\\\-\frac{18}{28}=\\\\-\frac{9}{14}[/tex]
A group of 6th-grade students ran the 50-yard dash. Their times are
shown in the line plot below. What was the median time for the 50-yard
dash?
Time on 50-yard Dash
(in seconds)
Answer:
the median time for the 50 yard dash is 8 seconds
Step-by-step explanation:
hope this helps :)
Can someone help me with this
Answer:
x=5
Step-by-step explanation:
2x+10=20
-10 -10
2x=10
then divide both sides by 2
x=5
Answer:
x = 5
Step-by-step explanation:
Given
2x + 10 = 20
Subtract 10 to both sides
(2x + 10) -10 = 20 - 10
2x = 10
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{10}{2}[/tex]
x=5
Check your work. Substituted 5 for x
2x + 10 = 20
2(5) + 10 =20
10 + 10 = 20
20 = 20
The Function f is defined by f(x)=2x+3/x+2
find f(n+3)
Answer:
(2n+9)/( n+5)
Step-by-step explanation:
f(x)=(2x+3)/(x+2)
Let x = n+3
f(n+3)=(2*(n+3)+3)/(n+3+2)
= (2n+6+3)/(n+5)
= (2n+9)/( n+5)
Use the table of values to find the function's values. If x = 0, then f(0) = . If f(x) = 27, then x =
If x = 0, then the value of the function f(0) will be negative 15. And if the value of the function f(x) is 27. Then the value of x will be 3.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The table is given below.
If x = 0, then the value of the function f(0) will be
f(0) = -15
And if the value of the function f(x) is 27. Then the value of x will be
x = 3
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Answer:
if x = 0, then f(0) = -15 and if f(x) = 27, then x = 3
Step-by-step explanation:
i look at the table for 0 and 27 and then look at the numbers next to it
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer: 33
Step-by-step explanation:
there ages m and b.
m = b + 12
m - 17 = 4(b - 17) m = 4b - 51
3b = 63
b = 21
m = 21 + 12 = 33
Hope this helps :)
Answer: Michael is 33 years old.
Step-by-step explantation: Okay, think of it like this, Michael's age for right now is x since we still do not know Michael's age. Pay close attention to the first sentence. What does it say? m = b + 2. Now pay attention to the second sentence. What does it say? m - 17 = 4 ⋅ (b = 17). Now, let's move on to the system of equations. As you can see here, the system of equations is
{m = b + 12
{m - 17 = 4 ⋅ (b - 17}.
Now for more equations.
m - 17 = 4b - 68
m = 4b - 68 + 17
m = 4b - 51
m - 4b = -51
-
b + 12 - 4b = -51, through the substitution from the first equation we saw
-3b = -51 - 12
3b = 51 + 12
b = 51/3 + 12/3
b = 17 + 4
b = 21
-
m = 33.
Find the area of the semicircle.
Put the following equation in slope-intercept form: x+2y=16
Answer:
y= -x/2+8
Step-by-step explanation:
Cause I know UwU
