Answer: The radius increases by 0.032 cm/minute.
Step-by-step explanation:
The volume, V, of a sphere is V = (4/3)πr^3.
For the volume to increase at a rate of 10cc (cubic centimeters) per minute, the radius must increase such that the additional radius (r)^3 = 10
V = (4/3)πr^3
V = (4/3)π5^3
V = 524 cc
We add 10 cc to have the balloon hold 544 cc. We calculate the increase in radius:
534=(4/3)*pi*x^3
We can now calculate the new radius, x.
x = 5.032 cm
The radius increased by 0.032 cm/minute.
A scuba diver descends farther down into the ocean from an initial depth of 13.6 feet below sea level. The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r ≥ 24.72
r ≤ 24.72
r ≤ 13.84
r ≥13.84
The scuba driver descends at a maximum rate of r ≤ -13.84
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let r represent the maximum rate. Given an initial depth of 13.6 feet below sea level.
The scuba diver descends at a constant rate for 2 1/2 minutes and reaches a depth no more than 48.2 feet below sea level. This can be represented as:
2.5r - 13.6 ≤ -48.2
2.5r ≤ - 34.6
r ≤ -13.84
Hence the scuba driver descends at a maximum rate of r ≤ -13.84
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 Find the perimeter. Simplify the answer
Answer:
sorry i was dared to sooooooo yayyyyyyyyyyyyyy
Answer:
15x + 28Step-by-step explanation:
Perimeter = 5x + 10 + 5x + 10 + 5x + 8
= 15x + 28...ans
Hope it Helps you!!what is the x intercept
Answer:
The answer is B
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4
Answer:
b
Step-by-step explanation:
Pythagoras formula for the relation of the side lengths of a right-angled triangle :
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".
so, we have here
c² = 1² + 2² = 1 + 4 = 5
c = sqrt(5) = 2.236067977...
so, answer option c is too big (values bigger than 3).
answer options d and e are too small (values smaller than 2).
a
9/4 = 2.25
10/4 = 2.5
this is also too big .
that leaves us with b
17/8 = 2.125
18/8 = 9/4 = 2.25
that is correct
13 9/10 divided by 3 1/2
Answer:
[tex]3 \frac{13}{44} [/tex]
Step-by-step explanation:
First let's write our equation
[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]
Now let's make them improper fractions
[tex] \frac{139}{10} \div \frac{7}{2} [/tex]
Now since we're dividing we with fractions we do the reciprocal and multiply
[tex] \frac{139}{10} \times \frac{2}{7} [/tex]
or
[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]
|2x + 6| = 16
plsss helppp
Answer:
x = 5
Step-by-step explanation:
|2x + 6| = 16
=> 2x + 6 = 16
=> 2x = 16 - 6
=> 2x = 10
=> x = 5
Hoped this helped.
I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
4^2+ 4^2=c
16+16=32
[tex]\sqrt{32}[/tex]
=5.65685424949
The members of a book club spend the same amount of money for refreshments at each meeting. At one meeting they bought 6 bagels and spent $9.00 on beverages. At the next meeting they bought 8 bagels and spent $8.20 on beverages. What was the cost of each bagel?
The members of a book club spend $0.4 for each Bagel as refreshment.
Let x represent the cost of each bagel.
At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:
Cost = 6x + 9
At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:
Cost = 8x + 8.20
Since the same money is spent on each meeting, hence:
6x + 9 = 8x + 8.2
2x = 0.8
x = $0.4
Therefore the cost of each bagel is $0.4
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A path is made of red tiles and blue tiles.
1/5of the tiles are red.
a) Write down the ratio of red tiles to blue tiles in its simplest form.
There is a total of 85 tiles.
b) Work out the number of blue tiles.
(2)
Total marks: 3
Answer: 17 red , 68 blue
Step-by-step explanation:
85 divided by 5=17
1/5 of 85=17
17x4=68
4/5 of 85=68
(1). The ratio of red tiles to blue tiles is [tex]\frac{1}{4}[/tex]
(2). The number of blue tiles are 68.
Fraction:It is given that,
A path is made by red and blue tiles and [tex]\frac{1}{5}[/tex] part of tiles are red.
So that,
Blue tiles[tex]=1-\frac{1}{5} =\frac{4}{5}[/tex] parts.
The ratio of red tiles to blue tiles in its simplest form,
[tex]\frac{Red}{Blue}=\frac{1}{5}*\frac{5}{4} \\\\\frac{Red}{Blue}=\frac{1}{4}[/tex]
Since, total number of tiles are 85.
Number of blue tiles[tex]=\frac{4}{5} *85=68[/tex]
Learn more about the fraction here:
https://brainly.com/question/78672
En la siguiente figura, determinar el valor de x.
2x
х 3x
Step-by-step explanation:
we know,
sum of all angles on a straight line is 180°.
so according to it,
x + 2x + 3x = 180
6x = 180
x = 180/6 = 30
x = 30°
therefore, value of x is 30°.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Answer:
See below, please.
Step-by-step explanation:
x+2x+3x=180
So, 6x=180
x=30
Andrew is counting the total calories in his breakfast. He knows that a bowl of his favorite cereal with milk has 200 calories. He also likes to drink a fruit smoothie with his cereal. Each ounce of the smoothie adds 25 calories. Which graph represents the total calories, y, in Andrew's breakfast if he drinks x ounces of fruit smoothie with his cereal?
Answer:
See Graph below
Step-by-step explanation:
I hope this helps anyone who needs it :)
7th grade math help...
Answer:
a= 11/30
Step-by-step explanation:
Divide the 5 1/2 miles by the 15 minutes
5.5/15= .36
.36 = 11/30
Can you solve for x plz?
Answer:
x=25
Step-by-step explanation:
4x+50=150
4x=100
x=25
How to divide different bases with same exponents.
What is the Value of (-0.5) (-7.0)?
the answer is (-0.5) (-7.0)= 3.5
Pls help ::::………..
——-////
Answer:
you will have $133920 intrest monthly and $151920 in the bank
Step-by-step explanation:
Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.
Determine if the table represents a linear function, quadratic function, or exponential function.
Answer:
quadratic
Step-by-step explanation:
Can my grade go up to an A within 3 weeks if i just do class work?
Answer:
da_mn the struggle is real
Step-by-step explanation:
A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens
pls answer it correctly
Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :
1.)
8 : 6
Reducing each side of the ratio by an half(1/2) :
8 × ½ : 6 × ½
4 : 3
2.)
15 : 3
Reducing each side of the ratio by ⅓:
15 × ⅓ : 3 × ⅓
5 : 1
3.)
12 : 6
Reducing each side of the ratio by (one-third) ⅓:
12 × ⅓ : 6 × ⅓
4 : 2
4.)
11 : 7
Increasing the proportion by 4 :
11 × 4 : 7 × 4
44 : 28
5.)
25 eggs : 3 hens
Increasing the number of hens by 3, then egg production will also triple
25 eggs × 3 : 3 hens × 3
75 eggs to 9 hens
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A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
A boat can travel 16 Kilometers per hour in still water. The boat travels 15 kilometers down a river and then 15 kilometers up stream. The entire trip takes 5.5 hours. Which equation describes the current, c, of the river?
a)
[tex] \frac{16}{15 + c} + \frac{16}{15 - c} = 5.5 [/tex]
b)
[tex] \frac{5.5}{16 + c} + \frac{5.5}{16 - c} = 15 [/tex]
c)
[tex] \frac{5.5}{15 + c} + \frac{5.5}{15 - c} = 16 [/tex]
d)
[tex] \frac{15}{16 + c} + \frac{15}{16 - c} = 5.5[/tex]
Answer:
d)
Step-by-step explanation:
the sites of the boat alone is 16 km/h.
downstream and upstream the effective speed is then influenced plus and minus by the current.
the distance traveled is 15km.
as speed = distance/time
then distance / speed = distance / (distance/time) = time
and we know the time it takes : 5.5 hours.
so, only answer d uses the right values in the "right places".
Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)
Answer: 35.113
Hope this helps!
PLEASE ANSWER 20 POINTS
Answer:
the pic wont load for me
Step-by-step explanation:
Corinne made apple jam and strawberry jam. She made enough apple jam to
fill 1 jars. If she made 3 times as much strawberry jam as apple jam, how
many jars will the strawberry jam fill?
Answer:
3
Step-by-step explanation:
1 ×3 =3
apple jam times strawberry
PLSSSSS I REALLY NEED HELP IT IS DUE VERY SOON AND THIS IS MY LAST QUESTION I AM BEGGING EXTRA POINTS WILL BE INCLUDED FOR WHOEVER ANSWERS! GRAPH AND TABLE INCLUDED! the graph shows the relationship between the distance that a snail crawls and the time that it crawls. a. Use the points on the graph to make a table. b. Write the equation for the relationship and tell what each variable represents.
Answer: y=10x
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is y=1x+2
Which expression is equivalent to 3^4 times 3^-9
Answer: 3^4 · 3^-9 = 3^4 · 1/3^9
Step-by-step explanation:
write the equation of the line passing through the origin of the coordinate system and is parallel to the line x-2y+3=0
Answer:
x - 2y = 0
Step-by-step explanation:
The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0, with only the constant (3) being different. Solving this equation for y to find the slope, we get:
x + 3 = 2y, or y = (1/2)x + 3/2. The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2. This result may be rewritten as 2y = x or x - 2y = 0.
What is the answer to number 4 ?
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Brett made oat bars for his school's bake sale. For his first batch, Brett mixed 1 cup of caramel chips and 4 cups of oats. To make sure he had enough, he made a second batch, and mixed 2 cups of caramel chips and 8 cups of oats. Which batch of oat bars was more caramelly?
Answer:
They would be equally caramelly, the ratio of oats:caramel is equal
Step-by-step explanation: