Bill and Jerry are both taking their hot-air balloons to the balloon show.
They are good friends and like to share experiences. The especially like that when
they get to fly their balloons next to each other. Unfortunately they did not get
cleared to depart at the same time. Bill got to go up first and had already started
to descend by the time that Jerry was cleared. Five seconds before Jerry takes
off Bill’s balloon basket was 1032 feet above the ground falling at a constant rate.
Five seconds after Jerry takes off Bill’s basket was 985 feet above the ground
and Jerry’s balloon basket was 57 feet off the ground and rising at the same
constant rate the whole time. To the nearest tenth of a second, how long after
Jerry’s balloon took off will the height of the two balloon baskets be the same
height?
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Answer:
62.6 seconds
Step-by-step explanation:
We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
__
For Bill's balloon, the two given points are ...
(t, h) = (-5, 1032) and (5, 985)
Then the equation is ...
h = (985 -1032)/(5 -(-5))(t -(-5)) +1032
h = -47/10(t +5) +1032
__
For Jerry's balloon, the two given points are ...
(t, h) = (0, 0) and (5, 57)
Then the equation is ...
h = (57-0)/(5-0)(t -0) +0
h = (57/5)t
__
The heights are equal when ...
-47/10(t +5) +1032 = (57/5)t
1008.5 = t(57/5 +47/10) = 16.1t
Then the time until heights are the same is ...
t = 1008.5/16.1 ≈ 62.6 . . . seconds
| 1) A penny made in 1982 weighs about 0.11 ounce. A
penny made in 2013 weighs about 0.09 ounce. Which
penny weighs more? Solve this problem any way you
choose.
Answer:
Weight in 1982
Step-by-step explanation:
Given parameters:
Weight of penny in 1982 = 0.11 ounce
Weight of penny in 2013 = 0.09 ounce
Unknown:
Which penny weighs more = ?
Solution:
Simply, we are looking for which number is higher,
0.11 or 0.09
Let us find the differences;
if x is greater than y then, x - y must be positive
If 0.11 is greater then 0.09, then 0.11 - 0.09 must be positive
= 0.02, it is positive
The weight of a penny in 1982 is greater than that in 2013
a bacteria culture begins with 8 bacteria which triples in size every week. How many bacteria exists in the culture after 4 weeks ?
Answer:
648
Step-by-step explanation:
8x3=24
24x3=72
72x3=216
216x3=648
what is (2 cubed) to the fourth power
Answer: 4096
Step-by-step explanation: 2^3=8, 8^4=4096.
Answer:
4096
Step-by-step explanation:
2 cubed=8
8^4=4096
what is 2/16 as a decimal
is this a keep, change, change?
-9-8
Answer:
umm i think so
Step-by-step explanation:
-12.5 - (-4.8) What is the value of the expression?
A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.
Answer:
[tex]\boxed{1500cm^{2} }[/tex]
Step-by-step explanation:
Area = Length × Width
→ Identify the length and width
Length = 5 and Width = 3
→ Substitute in the values
Area = 5 dm × 3 dm
→ Convert into cm
Area = 50 cm × 30 cm
→ Simplify
1500 cm²
2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56
Answer: subtraction property of equality
Step-by-step explanation:
A pitchers earned-run average E varies directly as the number R of earned runs allowed and inversely as the number of I innings pitched. A certain pitcher had an earned-run average of 2.92, giving up 85 earned runs in 262 innings. How many earned runs would the pitcher have given up having pitched 311 innings with the same average?
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Answer:
101 runs
Step-by-step explanation:
The given relation is ...
E = kR/I
The value of k can be found from the given numbers.
2.92 = k(85/262)
k = 2.92(262/85) = 9
__
Solving the above equation for R, we get ...
R = E·I/9 = (2.92)(311)/9 = 100.9 ≈ 101
The pitcher would have given up 101 earned runs in 311 innings.
PLZ HURRY IT'S URGENT!!
What is the y-intercept of the line?
y=2/3x+4
options:
0
1
2/3
4
Answer:
4
Step-by-step explanation:
y intercept is always the value without a coeffiecent
Answer:
ITS 4
Step-by-step explanation:
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
3х + 11 = 20
Helppppp
Answer: x=3
Step-by-step explanation: subtract 11 from 20 and you'll get 9. Nine divided by 3= 3. Therefore, x=3
Answer:
x = 3
Step-by-step explanation:
3x + 11 = 20
Subtract 11 from both sides.
3x + 11 = 20
3x -11 = -11
3x = 9
Divide both sides by 3
3x/3 = 9/3
Simplify the equation
x = 3
Check; Plug 3 into the equation
3(3) + 11 = 20
9 + 11 = 20
Hope this helps!
-Jerc
- Karan has n chocolates. He gave his younger brother 5 chocolates and distributed the remaining is
equally between his friend and himself. How many chocolate did his friend get in terms of n?
Answer:
4 chocolates
Step-by-step explanation:
n-c
brother-5n
5n-n=4
=4
Round to the nearest whole number 7.6
Answer:
8
Step-by-step explanation:
You would round because 7.6 is over half
Ben drinks water everyday. He drinks 3 1/2 liters of water every 1/4 of an hour. Ben drinks water at a constant rate. How many liters of water can Ben drink in 3 hours?
Ben drinks 3 1/2 liters of tea every 40 minutes.
This means that he would drink 1 3/4 of tea every 20 minutes (divide both sides by 2).
Now, let's multiply each side by 3.
1.75 * 3 = 5.25 (aka 5 1/4)
20 * 3 = 60 minutes (an hour)
He drinks 5 1/4 liters of tea in one hour.
Answer:
42 liters
Step-by-step explanation:
3.5x4=14 in 1 hour
14x3=42liters in 3 hours
A net is cut from a piece of cardboard that is 13 inches by 17 inches. The cardboard that is not used for the net is recycled.
How many square inches of cardboard are recycled?
Answer:
109 sq in
Step-by-step explanation:
By adding up all the areas in the net, we get 112 sq in. We then use that number to subtract from the area of the cardboard which is 221 sq in. We then get 109 sq in from that. Hope this helps.
ryans tennis club Membership Which is 11$ is deducted each month which expression shows the total deductions for the year?
Answer:
(-$11)x12
Step-by-step explanation:
hope this helps if its right can i get brainliest
Please look at the pic and help it got marked wrong
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256
Mr. Gregory sold several cars this week. Here is some data about the cars he sold. Car sold Retail price Miles per gallon Seats Navigation? Accord \$22,205$22,205dollar sign, 22, comma, 205 323232 555 no Altima \$22,500$22,500dollar sign, 22, comma, 500 323232 555 no Camry \$23,070$23,070dollar sign, 23, comma, 070 303030 555 yes ... ... ... ... ... The individuals in this data set are: Choose 1 answer: Choose 1 answer: (Choice A) A Mr. Gregory's customers (Choice B) B Cars (Choice C) C Seats This data set contains: Choose 1 answer: Choose 1 answer: (Choice A) A 333 variables, 222 of which are quantitative (Choice B) B 333 variables, 333 of which are quantitative (Choice C) C 444 variables, 222 of which are quantitative (Choice D) D 444 variables, 333 of which are quantitative
Answer:
The individual in the data set is the cars sold
There are 4 variables but 3 are numerical or quantitative
Step-by-step explanation:
See Attachment for proper format of question.
Required
The individuals in this data set are:
This data set contains:
Solving (a):
From the attachment, we have the following columns:
Cars Sold; Retail Price; Miles Per Gallon; Seats; Navigation
From the list of columns, the individual in the data set is the cars sold because it represent what is being referenced in the table
Solving (b):
In (a) above, we established the individual to be cars sold.
The other 4 elements are what the data set contains i.e. variables.
From the attachment, we have that
retail price, miles per gallon and seats are numerical data while navigation isn't.
So, we can conclude that.
There are 4 variables but 3 are numerical or quantitative
Answer:
B
D
Step-by-step explanation:
I got it right on khan. Please send thanks
let f(x) = 2x - 1, g(x) = x²- 2 x+ 1. find (f• g ) (x)
Answer:
f•g(x) = f(x)•g(x)
f•g(x) = (2x-1) (x²-2x+1)
= 2x³-4x²+2x-x²+2x-1
= 2x³-5x²+4x-1
HELP ME PLS ITS DUE TODAY :((
Answer:
3 8
18 48
22.5 60
27 72
Step-by-step explanation:
3:8 ratio
18/3=6
8*6=48
Answer:
48
60
72
Step-by-step explanation:
1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.
2. Equation: 3*?=8, ? = 8/3
3. Multiply all of the other numbers by 8/3 to get the answers.
4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.
Answers: 48, 60, 72
3(2x + 1) – (4x + 2)
How do i siplify this
Answer:
= 2x + 1
Step-by-step explanation:
explain the relationship between a strategy such as number sense and a written method such as partial products or area models for multiplying decimal numbers
The relationship between strategy and written method in mathematics is that;
Strategies can be changed or modified whereas written methods cannot be changed or modified because they have standards upon which such methods are based.
In mathematics, strategies are defined as the different ways in which a problem can be approached. For example;A student wants to perform addition of 19 and 46.
He could add the number straight away by doing 19 + 46 = 65or he can
take away 1 from 46 to become 45 and add that 1 to 19 to become 20 and
then sum 45 and 20 together as 20 + 45 = 65.
So we can see that the two strategies used to add 19 and 46 gave the same result.
In contrast, when dealing with written methods like partial products one cannot use any other method apart from that stated in the written method.For example, we want to use partial products to multiply 13 x 52.
The solution would become (10 × 50) + (10 × 2) + (3 × 50) + (3 × 2) = 676.
In this method, there cannot be another way used as the standard for using partial products is written and fixed.
Read more at; https://brainly.com/question/18884089
question 8/10 please and thank you
Answer:
80
Step-by-step explanation:
These angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
12x+8 = 13x+2
Subtract 12x from each side
12x+8-12x = 13x+2-12x
8 = x+2
subtract 2 from each side
8-2 =x
6 =x
Find the measure of the angle
12x+8
12*6+8
72+8
80
Find the slope of the line below
Answer:
5/3
Step-by-step explanation:
rise=5
run=3
so 5/3
The Jackson family went to eat at Applebees. Their bill came to $32.89. They gave the waiter a 15% tip. What was the total amount they paid for their bill?
$32.89
15% tip
Is $4.94
Making the total of the bill
$37.83
BRAINLIEST Multiply each side by the common denominator
Answer:
c. x² + 2x -5 = 0
Step-by-step explanation:
Given expression;
[tex]\frac{5}{x}[/tex] = [tex]\frac{x + 2}{3}[/tex]
Unknown:
The quadratic equation equivalent to this expression:
Solution:
The common denominator here is 3x;
So, multiply both sides by 3x
[tex]\frac{5}{x}[/tex] x 3x = [tex]\frac{x + 2}{3} x[/tex] 3x
5 x 3 = (x + 2)x
15 = x² + 2x
So;
x² + 2x - 15
The quadratic expression is x² + 2x - 15
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
Find the equation of a line parallel to −2x+2y=6 that contains the point (3,−5). Write the equation in slope-intercept form.