I'll use t for the messages Teresa sent, e for messages Eric sent, and r for messages Ryan sent.
Therefore we have, t+e+r=99.
From the text we also know:
e=3r ; r=t+6
If we substitute in the original equation we get:
t+3(t+6)+t+6=99; By simplifying it we get
5t=75 , therefore t=75/5=15.
Since Teresa send 15 messages,Ryan sent 6 more then here, so he send 21. Eric sent three times the
messages Ryan sent so he sent 63 messages. If we add them together 15+21+63, we get the total of 99 messages.
I WILL GIVE BRAINLIEST!!!!!!!Adam earns $180 each week. He saves 15% of his earnings. How much
money does Adam save each week?
Answer:
180÷15=12
Step-by-step explanation:
Adam saves up 12 dollars each week
HELP ASAP PLZZZZ BRAINLIST
Answer:
b
Step-by-step explanation:
Answer:
It's C!
Step-by-step explanation:
4) The center, or the middle number, of spread C is 5.
5) The spread, or beginning to last number, of spread C is 3 to 7.
6) The numbers in spread C are symmetrical.
The cafeteria is preparing ofr lunch. They have 18 bottles of ketchup that hold 96 ounces each. All of the ketchup needs to be divided equally into small containers that hold 1/5 of an ounce each. Hom many small containers are needed for each bottle of ketcup
Answer:
480 small containers
Step-by-step explanation:
From the above question,
1/5 ounce of ketchup = 1 small container
96 ounces of ketchup = x small containers
Cross Multiply
1/5 ounce × x = 96 ounces × 1
x = 96 ounces × 1/ 1/5 ounce
x = 96 ÷ 1/5
x = 96 × 5/1
x = 480 small containers
Therefore, the number of small containers needed is given as: 480 small containers.
In a middle school classroom there are 4 boys for every 6 girls. How many
boys would there be in a classroom with 30 student?
Answer:
12
Step-by-step explanation:
Answer:
12 boys
Step-by-step explanation:
4/(4+6) × 30
= 4/10 × 30
= 12
Is 1 considered a prime number??
Answer:
No
Step-by-step explanation:
Prime numbers have to be only divisible by one and themselves (2 numbers), but one is,[tex]1*1[/tex] so it is only divisible by one number, thus it is not prime.
The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown.
(trapezoid with the dimensions are shown on the bottom of the screen!)
What is the area of one trapezoidal face of the figure?
( ) inches squared
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2 took the test
Step-by-step explanation:
100 on the test
I need help with these plz
8. In an isosceles triangle, does the median to the base bisect the vertex angle?
1. yes
2. no
3. cannot say
Answer:
1. yes
Step-by-step explanation:
If doesn't bisect then the triangle will not be isosceles... In isosceles two angles and sides are equal
Use trig to find the legs of ABC if the base is AC and the height is BC (round to nearest tenth)
Answer:
GIVEN :-
∠A = 15°Length of AB (hypotenuse) = 60 ftTO FIND :-
Length of BCLength of ACArea of ΔABCFACTS TO KNOW BEFORE SOLVING :-
[tex]\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}[/tex][tex]\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}[/tex]SOLUTION :-
In ΔABC ,
[tex]\sin 15 = \frac{BC}{60}[/tex][tex]=> 0.2588... = \frac{BC}{60}[/tex]
[tex]=> BC = (0.2588....) \times 60 = 15.5291.....[/tex] ≈ 15.5 ft
[tex]\cos 15 = \frac{AC}{60}[/tex][tex]=> 0.9659..... = \frac{AC}{60}[/tex]
[tex]=> AC = (0.9659.....) \times 60 = 57.9555.....[/tex] ≈ 58 ft
Area of ΔABC = [tex]\frac{1}{2} \times 58 \times 15.5 = 449.5 \:ft^2[/tex]
What is the area of the shape? (Number only)
Answer: 282.15cm. ^2(squared)
Step-by-step explanation:
Hey!
So for this problem we first need our formula.
For a right triangle, it would be:
A=1/2bh
B=base (bottom line)
H= height (middle line)
Since that’s is technically two right triangle to make 1, you could just multiple your final result by 2 or just do base times height.
We’re going to do 1/2bh x 2 so I can show you both ways.
Our base is 27, so we are going to split that in half into 13.5.
We already have our height so now all we do is multiply.
13.5 x 20.9=282.15
Now we divide by 2 (if you only wanted one half of the triangle) and we would get 141.07.
Since you need the whole triangle area, your final answer would be 282.15cm. ^2(squared)
???????????????????????????
y=x^4 - 3x^2
describe the end behavior of this function
Answer:
Step-by-step explanation:
The graph of this type of function where the coefficient of x^4 is positive is shaped like a W.
The ends will descend from the left of the graph and rise to the right.
A rental car company charges $44.94 per day to rent a car and $0.07 for every mile driven. Levi wants to rent a car, knowing that: He plans to drive 500 miles. He has at most $460 to spend. Which inequality can be used to determine d d, the maximum number of days Levi can afford to rent for while staying within his budget?
Answer:
9
Step-by-step explanation
500*0.07=35 (35$)
460-35=425
425/44.94=9.45.....
so 9 days
I just this one please someone help
Answer:
100
Step-by-step explanation:
because 4, 3, and 2 all make 180 and 4 and 2 are both 40 so you add that which makes 80 and then you take 180 and subtract 80 which gives you 100
Answer:
100
Step-by-step explanation:
This is because angle 1 and angle 2 are congruent, so both of them are 40 degrees. To find angle 3, you do 40+40 which is 80. You then subtract 180-80=100. This is because angles 1, 2, and 3 are all on 1 straight line.
Fernando followed two diagonal paths, Paths 1 and 2, to get from his house, F, to a neighborhood corner store, C, as shown below.
Answer:
42 meters
Step-by-step explanation:
Given
See attachment for complete question
Required
Calculate distance FC
FC is calculated as:
[tex]FC = Path\ 1 + Path\ 2[/tex]
Where
[tex]Path\ 1 = FB[/tex]
[tex]Path\ 2 = BC[/tex]
Considering [tex]\triangle FEB[/tex], we have:
[tex]FB^2 = FE^2 + BE^2[/tex] --- Pythagoras theorem
Where
[tex]FE = FD - BA[/tex]
[tex]FE = 22m - 15m[/tex]
[tex]FE = 7m[/tex]
and
[tex]BE = CD - CA[/tex]
[tex]BE = 32m - 8m[/tex]
[tex]BE = 24m[/tex]
So:
[tex]FB^2 = FE^2 + BE^2[/tex]
[tex]FB^2 = 7^2 +24^2[/tex]
[tex]FB^2 = 49 +576[/tex]
[tex]FB^2 = 625[/tex]
Take square roots of both sides
[tex]FB = 25[/tex]
So:
[tex]Path\ 1 = 25[/tex]
Considering [tex]\triangle BAC[/tex], we have:
[tex]BC^2 = BA^2 + AC^2[/tex] --- Pythagoras theorem
Where:
[tex]BA = 15[/tex] and [tex]AC = 8[/tex]
So, we have:
[tex]BC^2 = 15^2 + 8^2[/tex]
[tex]BC^2 = 225 + 64[/tex]
[tex]BC^2 = 289[/tex]
Take square roots of both sides
[tex]BC = 17[/tex]
So;
[tex]Path\ 2= 17[/tex]
Recall that:
[tex]FC = Path\ 1 + Path\ 2[/tex]
[tex]FC = 25 + 17[/tex]
[tex]FC = 42[/tex]
Math Minute 93b (2 of 4)
Answer:
72, 27
Step-by-step explanation:
Bottom numbers = top numbers but backwards
Determine the number of real solutions of the following system.
y = x2 + 3x − 2
y = 4x − 1
Answer:
2 real solutions
Step-by-step explanation:
[tex]y=x^2+3x-2[/tex]
[tex]y=4x-1[/tex]
[tex]x^2+3x-2=4x-1[/tex]
[tex]x^2-x-2=-1[/tex]
[tex]x^2-x-1=0[/tex]
[tex]x=\frac{1 +-\sqrt{1-4*1*(-1)} }{2}[/tex]
[tex]x=\frac{1+-\sqrt{5}}{2}[/tex]
Solve by substitution. Please show work!!!
x+4y=-3
x+7y=-12
[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]
x = 9
y = -3
please someone help this is on aleks
Answer:
second choice
Step-by-step explanation:
Find the volume and surface area of this cylinder
Answer: V≈2613.81 and
SA= 1055.5751316062 feet2
Step-by-step explanation:
For surface area just sum it down to 1055.57 feet2
A __________ makes goods or offers services to others.
Answer:
producers or consumers
Step-by-step explanation:
Find the slope. Please
Answer:
-1/3
Step-by-step explanation:
→ Write down 2 coordinate pairs
(-9 , 11) and (-3 , 9)
→ Write down the slope formula
(y₂ - y₁) ÷ ( x₂ - x₁ )
→ Substitute in the numbers
( 9 - 11 ) ÷ ( 9 - - 9 )
→ Simplify
-1/3
Si un rombo tiene un lado con medida de 16 pulgadas. Cual es su perimetro . If a rhombus has a side measured 16 inches. What is its perimeter.
Answer:
64 inches or 64 pulgadas
Step-by-step explanation:
The formula for the perimeter of a rhombus is given as:
P = 4a
Where a = side length of the rhombus
From the above question, side length of the rhombus = 16 inches
Hence, Perimeter of the rhombus = 4 × 16 inches
= 64 inches
La fórmula para el perímetro de un rombo se da como:
P = 4a
Donde a = longitud del lado del rombo
De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas
Por lo tanto, perímetro del rombo = 4 × 16 pulgadas
= 64 pulgadas
√96 how do i solve this and it can't be a decimal
Please help me, math is so hard
Answer:
32 divided by 4 = 8,
8^2 + 8^2 = 128
128: 11^2 = 121 close enough, 11 is your answer
We are finding hypotenuse but first we find the length of all sides of the two squares to find the two sides of the triangle then we find hypotenuse.
Answer:
Step-by-step explanation:
OH you have to find what the lengths of the sides of the squares are, It would have been easier if they made the area 36 because that is a squared number and easy to find but because they didn't you just have to put 32 into a square root and the output would be 5.6.
why are we doing this? because 5.6*5.6=32, the area of the square. that means that 5.6 and 5.6 can be plugged into the A^2+B^2=C^2 equation 5.6^2+5.6^2=c^2 the missing side.
=984 should be the missing side but do the work yourself because that number that I came up with doesn't look right.
i do not understand what they are asking
Answer:
(fill in blanks in order)
4, 16, 36, 64, 100, 144...
Step-by-step explanation:
You need to calculate.
So plug in the Time in Seconds for t
You are solving for D, trying to find distance.
D= 16(0.5)²
solve with PEMDAS (and calculator)
0.5²= 0.25
D=16(0.25)
16 * 0.25= 4
D=4 FOR THE FIRST BLANK
________________________________
Now continue....
D=16(1)²
1^2 is just 1
16(1) is just 16
D=16
_____________
D=16(1.5)^2
1.5^2= 2.25
16(2.25)= 36
D=36
_______________
D=16(2)^2
2^2= 4
16(4)= 64
D= 64
_____________
D=12(2.5)^2
2.5^2= 6.25
16(6.25)= 100
D=100
______________
D=16(3)^2
3^2= 9
16(9)= 144
D=144
________________
NOW YOU KEEP GOING, NOW YOU KNOW WHAT THEY ARE ASKING.
For the next question, you have to go back and find that original table and compare.
Hi there!
The question gives us the equation [tex]D=16t^2[/tex] to describe the scenario of a stone dropping. D represents distance in feet and t represents time in seconds.
For example, to find the distance of how far the stone fell after 1 second of dropping it, we plug in 1 as t in the equation:
[tex]D=16t^2\\D=16(1)^2\\D=16(1)\\D=16[/tex]
Therefore, after 1 second of being dropped, the stone fell 16 feet.
Now, because we know this, we can fill in the blank under the "1" in the table for "Distance stone fell in feet."
To fill in the rest of the blanks, repeat this process but with different values of t.
For example, to find how far the stone fell after 0.5 seconds of dropping it, we plug in 0.5 as t in the equation:
[tex]D=16t^2\\D=16(0.5)^2\\D=16(0.25)\\D=4[/tex]
Therefore, after 0.5 seconds of being dropped, the stone fell 4 feet.
Now, we can fill in the blank under the "0.5" in the table for "Distance stone fell in feet."
Repeat this for 1.5-4 values of t (as given in the table).
Then, for part a), compare the table after you've filled it out to the table from Lesson 1.
I hope this helps!
Dont answer this question if you dont know the answer
Answer:
B
Step-by-step explanation:
Solve the following system of equations and show all work
y = 3x2 - 8x
y = 9x - 10 (10 points)
value of x =
[tex] \dfrac{2}{3} \: \: or \: \: 5[/tex]solution is in attachment : -
The exponential decay function A = A0(1/2)^t/P can be used to determine the amount A, of a radioactive substance present at time t, if A0 represents the initial amount and P represents the half-life of the substance.
If a substance loses 70% of its radioactivity in 500 days, determine the period of the half-life.
Show your work.
Answer:
The half-life of the substance is about 288 days.
Step-by-step explanation:
The exponential decay function:
[tex]\displaystyle A=A_0\left(\frac{1}{2}\right)^{t/P}[/tex]
Can determine the amount A of a radioactive substance present at time t. A₀ represents the initial amount and P is the half-life of the substance.
We are given that a substance loses 70% of its radioactivity in 500 days, and we want to determine the period of the half-life.
In other words, we want to determine P.
Since the substance has lost 70% of its radioactivity, it will have only 30% of its original amount. This occured in 500 days. Therefore, A = 0.3A₀ when t = 500 (days). Substitute:
[tex]\displaystyle 0.3A_0=A_0\left(\frac{1}{2}\right)^{500/P}[/tex]
Divide both sides by A₀:
[tex]\displaystyle 0.3=\left(\frac{1}{2}\right)^{500/P}[/tex]
We can take the natural log of both sides:
[tex]\displaystyle \ln(0.3)=\ln\left(\left(\frac{1}{2}\right)^{500/P}\right)[/tex]
Using logarithmic properties:
[tex]\displaystyle \ln(0.3)=\frac{500}{P}\left(\ln\left(\frac{1}{2}\right)\right)[/tex]
So:
[tex]\displaystyle \frac{500}{P}=\frac{\ln(0.3)}{\ln(0.5)}[/tex]
Take the reciprocal of both sides:
[tex]\displaystyle \frac{P}{500}=\displaystyle \frac{\ln(0.5)}{\ln(0.3)}[/tex]
Use a calculator:
[tex]\displaystyle P=\frac{500\ln(0.5)}{\ln(0.3)}\approx287.86[/tex]
The half-life of the substance is about 288 days.
Use the distributed property to create an expression that shows the sum of exactly two terms that is equivalent to 6(7x+8)
Answer:
42x+48
Step-by-step explanation:
[tex]\huge{{\mathfrak{question࿐}}}[/tex]
[tex] \sqrt{ \dfrac{243}{3} } [/tex]
Answer:
9Step-by-step explanation :
[tex] \sqrt{ \frac{243}{3} } [/tex]
[tex] = \sqrt{81} [/tex]
[tex] = \sqrt{9 \times 9} [/tex]
= 9(Ans)
hope it helps you have a good day
sorry for bad picture