Answer:
t = 1.15 seconds.
Step-by-step explanation:
The pumpkin is dropped from the height of = 64 feet.
Now we have to find the time taken to reach the pumpkin on ground. Use the below formula to find the time taken.
H = ½ gt^2
H = height
g = 9.8 (always contant )
t = time taken.
Now insert all the values in the formula.
H = ½ gt^2
64 = ½ ×9.8× t^2
(64×2) / 9.8 = t^2
t = 1.15 seconds.
Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points
receive? (SHOW WORKING)
Answer:
Mary- $18
Jane- $30
Step-by-step explanation:
Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.
x(3+5) = $48
3x + 5x = $48
8x = $48
8x/8 = $48/8
x = $6
3($6):5($6) = $18:$30
Answer:
Mary = $18
Jane = $30
Step-by-step explanation:
The first thing you need to do is find out how much each part is. To do that you need to add each side of the ratio together (3 + 5 = 8). THen you set up an equation showing the 8 parts * x = 48 and solve for x.
8x = 48
x = 6 <-- Value of each part
Now you multiply the 6 by the number on each side of the ratio,
Mary = 3 * 6 = 18
Jane = 5 * 6 = 30
The above is your answer.
A camping ground began with 240 pounds of food and each day consumed about 12 pounds. After how many days did they have 180 pounds left
Answer:
5 days
Step-by-step explanation:
Set up linear equation; food= 240-12(day) f=240-12d
f(1)=240-12(1)=240-12=228
f(2)=240-12(2)=240-24=216
Now set food to equal 180, solve for days:
180=240-12d
-240 -240
-60=-12d
/-12 /-12
5=d
To check: f(5)=240-12(5)=240-60=180
2c+7k=t-2 solve for c
Answer:
c = (t - 2 + 7t) / 2
Step-by-step explanation:
We can isolate c, getting 2c = t - 2 + 7t.
Then, we can divide both sides by 2, getting c = (t - 2 + 7t) / 2.
help please, little confused.....................................
Answer:
3(3) + 0.75(2) = (3 + 0.75)x
Step-by-step explanation:
The cost per pound of the mixture is the total cost divided by the total weight.
3 lb granola at $3 per lb has a cost of 3(3)
0.75 lb of raisins at $2 per lb has a cost of 0.75(2)
The total cost is 3(3) + 0.75(2)
The mixture has an unknown cost per lb, so we call it x.
When you multiply the cost per lb of the mix by the total weight, you get the total cost.
Total weight of mix: 3 + 0.75
Cost per lb of mix: x
Total cost of mix: (3 + 0.75)x
Above, we know the total cost is 3(3) + 0.75(2)
We set these two amounts equal to get our equation.
3(3) + 0.75(2) = (3 + 0.75)x
Answer: 3(3) + 0.75(2) = (3 + 0.75)x
Mario has LaTeX: 2\frac{1}{4}2 1 4 pounds of trail mix. He puts equal amounts of the trail mix into 6 bags for a hike with his friends. If he uses all of the trail mix, how many pounds will be in each bag?
Answer:
0.375 poundsStep-by-step explanation:
Let the amount of trail mix in each bag be x pounds. If Mario has [tex]2\frac{1}{4}[/tex] pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;
[tex]2\frac{1}{4} = 6 * x[/tex]
solving for x
[tex]\dfrac{9}{4} = 6x\\\\2.25 = 6x\\\\divide\ both \ sides \ by \ 6\\\\\dfrac{2.25}{6} = \dfrac{6x}{6} \\\\x = 0.375\\[/tex]
Hence 0.375 pounds of trail mix will be in each bag
On the previous problem, you found a unit rate of ounces per box. Explain how you find a unit rate when given a rate.
Which number is irrational?
A.
19
B.
V10
C.
V16
D
25
E.
136
Answer:
v10
Step-by-step explanation:
At a sale, dresses were sold for 95% of their original price. If the dresses originally cost $200 each, how much did a dress cost on sale?
Turn the percentage into a decimal.
95% / 100 = 0.95
Multiply.
200 * 0.95 = 190
Subtract.
200 - 190 = $10
Therefore, the dress costs $10 on sale.
Best of Luck!
Answer: The answer is 190.
1-2: Translate into an algebraic expression.
1. The product of a number, n, and -7.
Answer:
n+(-7)= choose a letter to replace it with the sum
30°25'45" into second
Answer:
109545
Step-by-step explanation:
Formula
multiply the time value by 3600
Hope this helps
plz mark brainlest
Which is the correct inverse function of f(x) = 4x +9?
Let y = 4x + 9
4x = y - 9
x = (y-9) / 4
f(x) = (x-9) / 4
1+1 is what because I’m really confused on this question and answer is it...idk 4
Answer:
2
Step-by-step explanation:
1+1=2
player
100%
X Pri
A total of 400 students were surveyed at a college to see if they live in on-campus dorms or if they live off-campus. The table shows the results of
the survey
Dorms Off-Campus Total
Freshman 88 12 100
Sophomore 62 38 100
Junior 43
57 100
Senior 25 75 100
Total 218 182 400
What percentage of the students surveyed live off-campus?
O A 18.25
OB. 41.29
OC 45.55
OD 83.55
RESET
Question #24
DELL
Answer:
[tex]\%Off-Campus = 45.5\%[/tex]
Step-by-step explanation:
Given
----------------------Dorms ---- Off-Campus ---- Total
Freshman -------- 88 ------ ---------12 ------- 100
Sophomore ------62 ---------------38 --------- 100
Junior --------------43 ----------------- 57 ---------- 100
Senior -------------25 -----------------75 ------------ 100
Total ---------------218 -------------182 --------------400
Required
Determine the percentage of off-campus students
From the above table, we have that:
[tex]Off-Campus = 182[/tex]
[tex]Total\ Surveyed = 400[/tex]
The percentage is then calculated as follows;
[tex]\%Off-Campus = \frac{Off-Campus}{Total-Surveyed} * 100\%[/tex]
[tex]\%Off-Campus = \frac{182}{400} * 100\%[/tex]
[tex]\%Off-Campus = 0.455 * 100\%[/tex]
[tex]\%Off-Campus = 45.5\%[/tex]
Hence, option C answers the question
Answer:
oh 45%
Step-by-step explanation:
Simpify the expression. -2(y + 3) -7y
What is the probability of choosing a number 1 - 10 that is
greater than 5 or even?
Answer:
70%
Step-by-step explanation:
So, first, our set of choices is 10. This means that there are 10 choices.
We want a number that is greater than 5 or even. Thus, let's mark down all of our choices.
Numbers greater than 5 are:
6, 7, 8, 9, and 10.
Even numbers are:
2, 4, 6, 8, 10.
However, we already counted 6, 8, and 10 previously, so we'll ignore that.
All in all, the following numbers will satisfy our requirements:
2, 4, 6, 7, 8, 9, and 10.
This is 7 out of 10 numbers.
Therefore, our probability is:
[tex]7/10=70\%[/tex]
Perform the following operations with the given fraction 2/5 x3/4 =
Answer: 3/10
Step-by-step explanation:
2/5 x 3/4
2x3=6
5x4=20
6/20
________
Simplify
6/2=3
20/2=10
3/10 Final Answer
-11 2/3 × (-4 1/5)
3x9+7what is the answer
Answer:
Step-by-step explanation:
First multiply 3x9 and you get 27 and then add 7 to 27
3x9 27
27+7 34
Answer:
34 is the answer
Step-by-step explanation:
Of the 75 boys in the 7th grade class, 25 participate in at least one sport. Of the 120 girls in the 7th grade class, 30 participate in at least one sport. Does this and its corresponding table show a proportional relationship? Explain why it does or does not show a proportional relationship.
Question 5(Multiple Choice Worth 4 points) (08.02)The number in the middle of a data set best describes which of the following? Mean Median Range Mean absolute deviation
Answer: (Median)
Sorry, I'm a bit late but I got 100% on my test!
Hope this helps!
Miguel’s family drove 357 miles on their weekend trip. Their car’s average gas mileage was 25.5 miles per gallon. How many gallons of gas did they use? Round your answer to the nearest tenth of a gallon if necessary.
1.4 gallons
14 gallons
91 gallons
140 gallons
Answer:
14 gallons
Step-by-step explanation:
357/25.5 = 14
14 gallons
hopefully this helps you :)
pls mark brainlest ;)
Thank you :)
Answer:
14 gallons
Step-by-step explanation:
took the test
Please help! I only need the answer for the first fill-in-the-blank. Click the other picture to see the choices.
Step-by-step explanation:
side side angle is the best answer
what digit in the thousands place in the decimal 5765.903
Answer: 5
Step-by-step explanation:
5765.903
going backwards-in front of the decimal -5 ( ones place) 6 (tens place) 7 ( hundreds) 5 (thousands) .
.9 ( tenths) 0 (hundredths) 3 (thousandths)
Eight more than twice a number is eight. Find the number.
Answer:
Step-by-step explanation:
2x + 8 = 8
Subtract 8 from both sides.
2x = 0
Divide both sides by 2.
x = 0
The required number, eight more than twice a number is eight, is 0.
Given that,
To find the number which is eight more than twice a number is eight.
The technique in computation to use and analyze the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it vends on a number of procedures according to the declarations. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,
Let the number be x,
The eight more than twice a number is eight. So,
8 = 2x + 8
2x = 0
x = 0
Thus, the required number, eight more than twice a number is eight, is 0.
Learn more about simplification here:
brainly.com/question/12501526
#SPJ2
Can you help me with this
Answer:
12 only.
Step-by-step explanation:
When the question is asking for f(0), it is asking for the value of y when x = 0.
We see that there is only 1 intersection at x = 0, and the y value would equal 12.
Therefore, our answer is 12 only.
Answer:
The answer is a.12 only its where the x coordinate stays 0 and the y coordinate decreases or increases
Step-by-step explanation:
If U is between T and B. Draw and find the value of “x” and then the measure of TU. Enter TU into the answer box. ROUND TO THE NEAREST TENTH! TU = 4x, UB = 8x - 32, TB = 97 please help meee
Which number below has a 3 that is 1/100 of the value of the 3 in the number 1,376
Answer:
1,386
Step-by-step explanation:
guessed it in my head
1/2 the hole power -5
Step-by-step explanation:
[tex](\frac{1}{2} ) {}^{ - 5} [/tex]
[tex] \frac{1 {}^{ - 5} }{ {2}^{ - 5} } [/tex]
[tex] \frac{1}{ \frac{1}{32} } [/tex]
[tex] \frac{1}{1} \times \frac{32}{1} [/tex]
[tex]32[/tex]
when will i know when to add or when to subract
Answer:
Look below:
Step-by-step explanation:
adding is when u see 6 + 10. the plus sign ( the cross ) means to add. Subtract is using the minus sign: 6 - 10.
Answer:
You will know when to add or subtract because of keywords and symbols.
Step-by-step explanation:
Most addition and subtraction problems have keywords that tell you what operation to use. For example, so keywords that tell you that you have to add are altogether, sum, together, and a few other words. Some examples of subtraction problems are less than, and a bunch of other words.
Hope This Helps :)
i am confused in this can someone help?
Answer:
[tex]\huge\boxed{\sf a = -12 , b = 8}[/tex]
Step-by-step explanation:
Given polynomial is:
[tex]f(x) = ax^3+ b^2 + 3x + 4[/tex]
[tex]\rule[225]{225}{2}[/tex]
First factor is (x-1)
Let x - 1 = 0 => x = 1
Putting this in the above polynomial
[tex]f(1) = a(1)^3 + b(1)^2 + 3(1) + 4[/tex]
Given that it's remainder is 3
[tex]3 = a + b + 3 + 4[/tex]
[tex]3 = a + b + 7[/tex]
Subtracting 7 to both sides
[tex]-4 = a + b\\OR \\[/tex]
a + b = -4 -------------------------- (1)[tex]\rule[225]{225}{2}[/tex]
Second Factor is 2x + 1
Let 2x + 1 = 0 => x = - 1 / 2
Putting in the above polynomial
[tex]f(-\frac{1}{2} ) = a (-\frac{1}{2} )^3 + b (-\frac{1}{2} )^2 + 3 (-\frac{1}{2} ) + 4[/tex]
The remainder is 6
[tex]6 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2} + 4\\6 - 4 = -\frac{a}{8} + \frac{b}{4} - \frac{3}{2}\\2 = \frac{-a + 2b -12 }{8} \\-a + 2b - 12 = 16\\-a + 2b = 16 + 12\\[/tex]
-a + 2b = 28 --------------------------------(2)[tex]\rule[225]{225}{2}[/tex]
Adding both equations
a + b - a + 2b = -4 + 28
3b = 24
Dividing both sides by 3
b = 8
[tex]\rule[225]{225}{2}[/tex]
Putting b = 8 in Equation (1)
a + 8 = -4
a = - 4 - 8
a = -12
[tex]\rule[225]{225}{2}[/tex]