Answer:
1)
[tex]L=18 \frac{1}{2} in[/tex]
[tex] W= 9 \frac{1}{4} in[/tex]
2)
[tex]T_{1}=14 balls[/tex]
[tex]T_{2}=7 balls[/tex]
[tex]T_{3}=3 balls[/tex]
Step-by-step explanation:
In order to solve this problem, we need to build the equations we need. Since there are two values we want to figure out (length and width) we will then need two equations to solve simultaneously.
First, the problem tells us that the perimeter is 55 1/2 in, which can be rewritten as an improper fraction:
[tex]55 \frac{1}{2}= \frac{55*2+1}{2}= \frac{111}{2}[/tex]
Next, we also know the perimeter of a rectangle is found by using the following formula:
P=2L+2W
where L is the length of the rectangle and W is its width.
So our first equation will look like this:
[tex]2L+2W=\frac{111}{2}[/tex]
Next, the problem tells us that the width of the rectangle is twice its width, so our second equation will look like this:
L=2W
which can be substituted into our first equation:
[tex]2L+L=\frac{111}{2}[/tex]
Now, we can solve this for L, so we get:
[tex]3L=\frac{111}{2}[/tex]
[tex]L=\frac{111}{2*3}[/tex]
[tex]L=\frac{111}{6}=18 \frac{3}{6}=18 \frac{1}{2}[/tex]
so we can now use this information to find its width:
L=2W
[tex] \frac{111}{6}=2W[/tex]
so
[tex]W=\frac{111}{6*2}[/tex]
[tex]W=\frac{111}{12}=9\frac{3}{12}=9\frac{1}{4}[/tex]
2)
When solving this problem it is a good idea to split it into little chunks of information. The first sentence says:
"... "teacher 1" shoots twice as many airballs as "teacher 2"."
This can be translated as an equation like this:
[tex]T_{1}=2T_{2}[/tex]
The next sentence says:
""teacher 3" shoots 4 airballs less than "teacher 2"."
This can be written as an equation like this:
[tex]T_{3}=T_{2}-4[/tex]
and finally, the problem states: "... they shot 24 airballs together,..."
This can be written as an equation like this:
[tex]T_{1}+T_{2}+T_{3}=24[/tex]
so now we can do substitutions. We can take the first and second equations and write them into the third equation so we get:
[tex]2T_{2}+T_{2}+T_{2}-4=24[/tex]
so now we can solve this equation for [tex]T_{2}[/tex], so we get:
[tex]2T_{2}+T_{2}+T_{2}=24+4[/tex]
[tex]4T_{2}=28[/tex]
[tex]T_{2}=\frac{28}{4}[/tex]
[tex]T_{2}=7[/tex]
and once we got this answer, we can find the remaining two answers:
[tex]T_{1}=2T_{2}[/tex]
[tex]T_{1}=2(7)[/tex]
[tex]T_{1}=14[/tex]
and
[tex]T_{3}=T_{2}-4[/tex]
so we get:
[tex]T_{3}=7-4[/tex]
[tex]T_{3}=3[/tex]
Answer:
1)
Step-by-step explanation:
1)
which equation represents the same line points as the table
Answer:
y=-x,A
Step-by-step explanation:
When we input -5 in for x, we get 5
When we input 7 in for x, we get -7
SOMEONE. PLS HELP I ASKED A QUESTION AND I'LL GIVE BRAINLIEST JUST PLS ANSWER IT
Answer:
Ok, I'll try
Step-by-step explanation:
Dora
Boots
Come on, Dora
Do-do-do-do-Dora (alright)
Do-do-do-do-Dora
Do-do-do-do-Dora
Do-do-do-do-Dora (let's go)
Dora, Dora, Dora the explorer (Dora!)
Boots and super cool Exploradora
Need your help
Grab your backpack, let's go
Jump in, ¡vámonos!
You can lead the way
Hey! Hey!
Do-d-Dora
Do-d-Dora
Do-d-Dora
Do-d-Dora
Swiper no swiping
Swiper no swiping
(Oh, man)
Dora the explorer!
There are 6 yellow hexagons 2 red trapezoids and 9 green triangles how many flowers could you make if they were changed 30 yellow hexagons 50 red trapezoids and 60 green triangles. Which shape would you have left over the most
Answer:
a) 5 flowersb) TrapezoidStep-by-step explanation:
For one flower, the following shapes are used;
6 yellow hexagons, 2 red trapezoids and 9 green triangles
If we are given 30 yellow hexagons 50 red trapezoids and 60 green triangles, to get the number of flowers we can make, we will find the greatest common factor of 30, 50 and 60
30 = 6*5
50 = (2*5)+40
60 = (9*5)+15
We can see that 5 is common to all the factors. This means that we can make 5 flowers if they were changed to 30 yellow hexagons 50 red trapezoids and 60 green triangles.
Since there are 40 trapezoids left and 15 green triangles left, hence the shape that would have n as left over most is trapezoid (40 left over)
What's the domain of this function graph?
A) (-♾, 0)
B) (0,♾)
C) (-♾,♾)
D) (1,♾)
Answer:
b) (0,infinity)
Step-by-step explanation:
You can look at the graph and see it starts when x=1, and continues forever in the positive direction.
Which number is greater? -|3| or |-3|
Answer:
there equal
Step-by-step explanation:
A snail travels 10 cm in 4 minutes. At this rate: How long will it take the snail to travel 24 cm? minutes How far does the snail travel in 6 minutes?
Answer:
1) 9 min 36 sec (9.6min)
2) 15 cm
Step-by-step explanation:
10 cm -->4 min
1 cm --> 0.4 min
24cm --> 9.6 min
15 cm--> 6min
find the x, if the three angles of an equilateral triangle are 45°, 2x+7°, 45°
Answer:
19
Step-by-step explanation:
2x+7=45
2x=38
X=19
I hope this helps
A colony of amoebas is being studied. The mass of the
colony triples every day. On Day x of the study, the
colony has a mass of 3^x mg.
a. What is the mass of the colony on Days 3, 2, and 1?
What is the mass of the colony on Day 0, when the
study begins? Show your work.
Answer:
Multiply the start amount of the insects by 3 and then by the amount of days
Subtract 5x2 - 7x - 6 from 9x2 + 3x – 4.
The area of the base of a rectangular prism is 24 square centimeters and the height is 12 centimeters. What is the volume of the rectangular prism in cubic centimeters?
Answer:
V = 288 cm³
Step-by-step explanation:
Given that,
The area of the base of a rectangular prism is 24 square centimeters and the height is 12 centimeters.
We need to find the volume of the rectangular prism. For a rectangular prism, the volume is given by :
V = lbh
Since, lb = A, area of the prism
V = Ah
V = 24 × 12
= 288 cm³
So, the volume of the rectangular prism is 288 cm³.
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-9, -1) and (3, – 7).
Answer:
y-4=1(x-6) and y= x 10
Step-by-step explanation:
Mary is standing out on the balcony of her apartment which is 40 feet above the ground and looks up at a 31° angle to see her friend Sue who is standing on her balcony. If Mary and Sue's apartments are 20 feet apart from one another, how high off the ground is Sue?
Answer:
52 feet
Step-by-step explanation:
This situation can be represented by the attached figure as in the answer area.
Let M be the location of Mary.
Let S be the location of Sue.
Distance between apartments is given as 20 feet.
Distance between ground and balcony of Mary is 40 feet.
There is a right angled [tex]\triangle MOS[/tex].
[tex]\angle OMS = 31^\circ[/tex]
To find:
The distance SO + 40 feet.
We can use tangent ratio here in right angled [tex]\triangle MOS[/tex].
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tan31^\circ = \dfrac{SO}{MO}\\\Rightarrow tan31^\circ = \dfrac{SO}{20}\\\Rightarrow SO=20\times 0.6\\\Rightarrow \bold{SO=12\ ft}[/tex]
Height of Sue above ground = 40+12 = 52 feet
How do you find the markup rate?
Answer: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage. For example, if your product costs $50 to make and the selling price is $75, then the markup percentage would be 50%.
Step-by-step explanation:
Answer:
hope this helps!
Step-by-step explanation:
Divide the amount added to the price by the amount the item costs you to buy to find the markup rate expressed as a decimal. In this example, you would divide $2 by $6 to get 0.3333. Convert the markup rate expressed as a decimal to a markup rate expressed as a percentage by multiplying it by 100.
Mr. Boyd completed a 3.19 mile walk/ run. For every 5 minutes of walking, he ran for 1.5 minutes. If he completed his workout in 48:52 minutes, how much of that time was spent running?
Answer:
He spent 11.25 minutes running
Step-by-step explanation:
Mr. Boyd completed a 3.19 mile walk/ run.
For every 5 minutes of walking, he ran for 1.5 minutes.
He completed his workout in 48.52 minutes.
Hence, we have the equation:
1.5x + 5x = 48.52 minutes
6.5x = 48.52 minutes
x = 48.52/6.5
x = 7.4646153846
Approximately = 7.5 minutes
Therefore the time spent running = 1.5 × 7.5 minutes
= 11.25 mimutes
One order of fries costs $1.90. If an order is placed for 6 orders of fries, what will the total cost of the order be? The order will cost___________ dollars.
Answer:
$11.40
Step-by-step explanation:
$1.90*6=$11.40
Write a scientific notation in standard form 125.41
Answer:
1.2541 x^2
Step-by-step explanation:
Someone please help
tyler's brother earns $12 per hour. the store offers him a raise -a 5% increase per hour . after the raise how much will tyler's brother make per hour
Answer:
12.50
Step-by-step explanation:
PLEASE HELP!!! WILL GIVE BRAINLIEST
Answer:
16
Step-by-step explanation:
18+6=24
24-7=16
Lo is leaving from work today at 5:45 p.m. She has errands to run before she meets her friends for dinner at 8 p.m. If it takes Lo of an hour to run each errand, how many errands does she have time to run between work and dinner?
3/4x = 2 1/4
A. 5
B. 3
C. 1
D. 2
Answer:
the answer is B
Step-by-step explanation:
here's why.... 2 times 4 plus 1 is 9 so ... 2 1/4 turns into 9/4 and 3 times 3 is 9 so if u place x with 3 it will be 9/4 therefore the fractions are equal.
Which equation below so that the
8y = -40
y=22
-6x + 8y = -4
-6x + 8y = -40
COMPLETE
The solution to the system Is:
Answer:
(4 , -5)
Step-by-step explanation:
Which of the following is the most likely end for a star that formed from an extremely large nebula? (2 points)
a
Black hole
b
Main sequence
c
Planetary nebula
d
White dwarf
Answer:
A black hole
Step-by-step explanation:
take my word for it it is A!
Have a fantastico day!
NEED HELP ASAP, I WILL GIVE BRAINLIEST
Which diagram shows the parallelogram method for vector addition?
Answer:
i believe it is c
Step-by-step explanation:
took test on edge
The second picture represents the addition of two vectors u and v by the parallelogram method for vector addition.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have:
Two vectors u and v
The resultant vector will be u + v
As we know, in the parallelogram method for vector addition
We have to place two vectors at the same starting point.
Then complete the parallelogram.
The diagonal of the parallelogram represents the addition of the vector.
Thus, the second picture represents the addition of two vectors u and v by the parallelogram method for vector addition.
Learn more about the vector here:
brainly.com/question/8607618
#SPJ2
please help, brainliest, five star, thanks
Answer:
-18+4
Step-by-step explanation:
try to multiply -6 into the (3x-2/3) then I guess you get the answer
Answer:
−18x+4
Step-by-step explanation:
The sum of three consecutive multiples"
of 8 is 192. Find the multiples.
Answer:
7,8,9
Step-by-step explanation:
192/8=24
X+(x+1)+(x+2)=24
3x+3=24
3x=21
x=7
so it’s 7,8,9
the more recent question you asked steps
Apply the fractions formula for multiplication, to
13×45
and solve
1×43×5
=415
Therefore:
13×45=415
Step-by-step explanation:
I feel like it's A but i don't know to be honest.
Answer:
I agree that the answer is A
Step-by-step explanation:
N + 7 < -3 HELPSSS please solve this
Answer:
n is smaller than -10 so it could be -10, -11, -12 etc.
Step-by-step explanation:
Answer:
n < -10
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
n+7−7<−3−7, we are left with n<-10
n<−10
What is the value of this expression when a=3 and b= -2? (3a (exponent) -2 b (exponent) 6) exp. -2 ___________________________ (2a (exponent) -1 b (exponent) 5) Its all one equation!
Answer:
I looked online to find the equation well written, but i could not find it, so i will guess that the equation is:
[tex]\frac{3*a^{-2} - 2*b^{-6}*e^{-2}}{2*a^{-1}*b^{5}}[/tex]
Now we want to find the value of this equation when:
a = 3 and b = -2
So we can just replace these values in the equation, each a is replaced by a 3, and each b is replaced by a -2.
The equation becomes.
[tex]\frac{3*3^{-2} - 2*(-2)^{-6}*e^{-2}}{2*3^{-1}*(-2)^{5}} = 44.3[/tex]
PLEASE ANSWER ASAP ASSIGNMENT IS DUE TODAY I WILL MARK BRAINLIST!!!!!!!!!!!!
3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use the formula:
V(t) = P(1 + r)t, where V(t) is the value of the coin in t years, P is the initial investment, and r is the growth rate.
Coin A worth $25 and increase by 7% each year and coin B worth $40 increase by 5% each year
9514 1404 393
Answer:
V(t) = 25(1.07^t)V(t) = 40(1.05^t)Step-by-step explanation:
Put the given numbers into the given formula. It can be simplified a little bit.
Formula:
V(t) = P(1 + r)^t
Coin A
P = 25, r = .07
V(t) = 25(1.07^t)
Coin B
P = 40, r = 0.05
V(t) = 40(1.05^t)
Solve for x, y, and a.
Answer:
Step-by-step explanation:
x = 55
y = 60
a = 14
did it in my copy but it took too long to upload so i gave up. sry