Answer:
The capacity of each bottle is 5.45 of waters or 5 L 450 ML of water
Step-by-step explanation:
We are told that:
Naina emptied a tank holding 65 L 400 ML of water into 12 bottles.
We have 65 Liters and 400ml , we convert everything to Liters
1000ml = 1 L
400ml = x L
Cross Multiply
1000 × x = 400 × 1 L
x = 400/1000
x = 0.4L
Hence, the total capacity of the tank, is 65L + 0.4L = 65.4L
Since there are 12 bottles, we assume that each bottle are of the same size hence, the capacity of each bottle is
calculated as:
12 bottles = 65.4 L
1 bottles = x
Cross Multiply
12x = 65.4L
x = 65.4L /12
x = 5.45 L
Hence, the capacity of each bottle is 5.45 or 5 Liters, 450 ML
Next door to me lives a man with his son. They both work in the same factory. I watch them going to work through my window. The father leaves for work ten minutes earlier than his son.one day I asked him about it and he told me that it takes 30 minutes for him to walk to his factory, whereas his son is able to cover the distance in only 20 minutes. If the father were to leave the house 5 minutes earlier then his son, then the son would catch up with his father in 2k minutes. where k is-----
9514 1404 393
Answer:
k = 5
Step-by-step explanation:
Suppose the distance to the factory is 1 unit. Then the speed the father walks is ...
speed = distance/time = 1 / 30 . . . . units per minute
When the father leaves 10 minutes earlier than the son, his position t minutes after the son starts walking is ...
d = 1/30(t +10)
Similarly, when the father starts 5 minutes earlier than the son, his position t minutes after the son starts walking is ...
d = (1/30)(t +5)
We want that to be the same as the distance the son covers t minutes after he starts walking. The son's progress is ...
d = 1/20t
To find the value of k such that the distance covered is the same 2k minutes after the son starts, we will use t=2k and d=d, so ...
(1/30)(2k +5) = (1/20)(2k)
4k +10 = 6k . . . . . multiply by 60
10 = 2k . . . . . . . . . subtract 4k
5 = k . . . . . . . . . . . divide by 2
__
The attached graph shows the different scenarios, where the blue line is the son's progress. When the father starts 5 minutes earlier, the son meets him half-way to the factory after 10 minutes, so k = 10/2 = 5.
pls help me 20 points
Answer:
the length of the minute hand is 36/100 . 150 = 54 (mm)
y is the distance between the minute hand and the hour hand now
x is the angle beween the minute hand and the hour hand, so we have:
cos x = 36/54 = 2/3 => sin x = [tex]\sqrt{1-(\frac{2}{3})^{2} }=\frac{\sqrt{5} }{3}=\frac{y}{54}[/tex] => y = 18√5 (mm)
a) see in the ques, u can see that in 45', the minute hand will move a distance equal to 2 times its length and a distance = 2.18√5 (mm)
=> the distance which the minute hand will move is 54.2 + 2.18√5 = 188,50 (mm)
b) the distance which the minute hand will move in 1h is 54.4 - 18√5 = 175,75(mm)
the distance which the hour hand will move in 1h is 36.4 = 144 (mm)
=> the minute hand will move: 175,75 - 144 = 31,75(mm) further than the hour hand
Step-by-step explanation:
You deposit $7,425 into a savings account
Answer:
wow then u saved $7425 in your savings account
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
Answer:
The percentage change = 6.05%
Step-by-step explanation:
New value = £209.99
Old value = £198
Percentage change = [New Value - Old Value] / [Old Value] × 100
= [209.99 - 198] / [198] × 100
= [11.99] / [ 198] × 100
= 0.06 × 100
= 6.05%
Therefore, the percentage change = 6.05%
. Taylor made gallons of fruit punch. What is the total number of 8-fluid-ounce cups of punch that Taylor made?
This question is incomplete
Complete Question
Taylor made 2 1/2 gallons of fruit punch. What is the total number of 8-fluid-ounce cups of punch that Taylor made?
Answer:
40
Step-by-step explanation:
Step 1
Let's convert the gallons to fluid ounces
1 gallon = 128 fluid ounces
2 1/2 gallons = x
Cross Multiply
x = 2 1/2 gallons × 128 fluid ounces
x = 320 fluid ounces
2 1/2 gallons of fruit punch = 320 fluid ounces of fruit punch.
Step 2
The total number of 8-fluid-ounce cups of punch that Taylor made is calculated as:
8 fluid ounce = 1 cups
320 fluid ounces = x
Cross Multiply
8x = 320
x = 320/8
x = 40
Hence, the total number of 8-fluid-ounce cups of punch that Taylor made is 40
If
s= t+7s/5 and s= -2 what is the value of t?
A) -24
B) -4
C) 4
D) 24
Answer:
C
Step-by-step explanation:
Given
s = [tex]\frac{t+7s}{5}[/tex] ← substitute s = - 2 into the equation
- 2 = [tex]\frac{t+7(-2)}{5}[/tex] ( multiply both sides by 5 to clear the fraction
- 10 = t - 14 ( add 14 to both sides )
4 = t → C
1. Solve the system of equations: 4x-y=14 and x=y+2
O (4,2)
O (2,4)
O (6,2)
0 (2,6)
Answer:
The second one
Step-by-step explanation:
4x-y=14
4(y+2) -y=14
4y+8-y=14
3y=14-8
3y=6
y=2
x=2+2
x=4
Answer:
y=2 x=4
a. (4,2)
simple. easy. awesome. xfinity
Under his cell phone plan, Elijah pays a flat cost of $64.50 per month and $5 per gigabyte. He wants to keep his bill at $87.50 per month
An ice cream cone has a height of 11cm and a diameter of 4.5 cm. Which value best represents the amount of ice cream the cone can hold.
Answer:
D. 58cm
Step-by-step explanation:
Hi Alondra, umm... I looked this up and saw your name. This is on the final right.
Andrew Moreno
Answer:
An ice cream cone has a height of 11cm and a diameter of 4.5 cm. Which value best represents the amount of ice cream the cone can hold.
Step-by-step explanation:
Which of the following is equivalent to (2a + 5b) (a - 3b)?
A) 2a² - 2ab - 15b²
B) 2a² - ab 15b²
C) 2a² + 2ab - 15b²
D) 2a² + 11ab - 15b²
Answer:
Step-by-step explanation:
use foil and you will have
=2a^2-6ab+5ab-15b^2
=2a^2-ab-15b^2
i think is B, maybe you forgot a minus between ab and 15b^2
plz help, The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
The real solutions of f(x)=0 are: 0, 2, 5, 6
Step-by-step explanation:
We are given:
The graph of y = f(x)
We need to find all of the real solutions of f(x) = 0?
By looking at the graph we need to find the values of y when x =0
Looking at the graph, when x=0 we get
0, 2,5 and 6
So, the real solutions of f(x)=0 are: 0, 2, 5, 6
I am attaching the figure, that determines the answers.
what is 32.23 + 4x?
ASAP
Answer:
cannot be simplified.
Solve by using substitution. Express your answer as an ordered pair.
{2x + y = 1
{y = x -5
Answer:
All the best this is the answer
2x+y=1
y=x-5
substitute: y=x-5 in 2x+y=1
2x+x-5=1
2×+x=1+5
2x+x=6
3x=6
x=6/3
x=2
finding y:
substitute x=2 in 2x+y=1
2×2+y=1
4+y=1
y=1-4
y=-3
so(2,-3) is the answer
There is a deck of 20 picture cards that contain 5 birds, 5 lions, 5 frogs, and 5 monkeys. What is the probability that the first card drawn shows a bird and the second shows a monkey
Sarah made a certain number of bracelets for a craft show. Maria made 7 more than Sarah. Julie made 3 times as many as Maria.
Which expression represents the total number of bracelets Julie made if Sarah made s bracelets?
3s + 7
s + 21
21s
3(s + 7)
Answer:
D
Step-by-step explanation:
Help with congruent angles - please----
State if the 2 angles are congruent.
If they are, state how you know- for example SSS or SAS.
Answer:
No, they are not congruent, see why belowStep-by-step explanation:
The red lines indicate corresponding angles. Here we see 2 corresponding congruent sides and 1 corresponding congruent angle. The SAS postulate states that we can conclude a triangle is congruent if we have 2 sides and 1 angle as being congruent. However, on closer inspection, we will notice that the angle is not actually corresponding. The first triangle has the angle between the two sides marked, but the second one has the angle on the other side marked. Because of this, we cannot conclude the triangles are congruent.
B is the midpoint of segment AC, What is the length of AC?
А
B
3X + 4
5X-6
Find the semi perimeter of a triangle with sides 9cm 12 cm and 30 cm
Answer:
25.5 cmStep-by-step explanation:
[tex]s = \frac{a + b + c}{2} [/tex][tex] = \frac{9 + 12 + 30}{2}cm \\ = \frac{51}{2}cm \\ 25.5cm[/tex]
Given that $-3 \leq x \leq 2$ and $20x^{2} = y-24$, what is the least possible value for $y$?
Answer:
24
Step-by-step explanation:
The least possible value is when 20x^2 = 0. All other values give a larger value than 0. Thus, the minimum value for y = 24.
Answer:
24
Step-by-step explanation:
What's your biggest wish this Christmas?! :D <3
Answer:
To Get a new phone
Step-by-step explanation:
Melissa makes 8 dollars for each hour of work. Write an equation to represent her total pay p after working h hours
Answer:
8 x h= p
Step-by-step explanation:
You see 8. That is the amount she is getting paid for each hour.
p is how much is paid totally after working a certain amount of hours
h represents how many hours she works.
8 dollars times the amount of hours she works(h) would equal p, the total amount she is paid
I really hope this helped~~
Darin has 3 pairs of tennis shoes, 4 pairs of pants, 6 shirts, 2 belts, and 3
hats. Darin makes an outfit by choosing one of each type of item. How
many unique outfits can Darin make?
A). 18
B). 42
C). 144
D). 432
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!
Angle 1 is 112
Angle 2 is 68
Angle 3 is 90
Angle 4 is 90
Angle 5 is 22
Angle 6 is 158
VERY URGENT
ALCULATOR
COLOR THEME
11
D) SPEAK OPTIO
1. The height of a cylinder is 6 centimeters. The
circumference of the base of the cylinder is 187. Solve
and explain how you would find the measurement of
they cylinder's volume in cubic centimeters. Be specific,
include any formulas you will need, identify the
components of the cylinder, explain whether you need
to round, and do not forget to include units of
measurements.
Academic Vocabulary:
height cylinder base
pi substitute volume
formula round
area
radius circumference
cubed squared
Answer:
16,713.4 cc
Step-by-step explanation:
You are given the height (6) and circumference (187) and the formula for the volume of the volume of a cylinder is [tex]\pi *r^{2} *h[/tex]. You first need to find the radius of the cylinder using the equation [tex]C=2\pi r[/tex]. Doing so, you get 29.76 cm for the radius. After this, you plug in 29.76 and 6 into the equation to get 16,713.4 cc.
HELP ASAP!!!!!!!! PLSSSSSSS HURRY!!!
Consider the function f(x) = 6 sine (x minus StartFraction pi Over 8 EndFraction) + 8. What transformation results in g(x)6 sine (x minus StartFraction 7 pi Over 16 EndFraction) + 1?
A.) Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units up.
B.) Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units up.
C.) Translate StartFraction 5 pi Over 16 EndFraction units left and 7 units down.
D.) Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units down.
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
used graphing calculator
When Sarah divided a number by 5, the quotient was 247 with a remainder. What is one possible dividend? With a complete sentence, explain how you found the dividend.
Answer:
One possible dividend is 1,237
Step-by-step explanation:
One possible dividend will be 1,237
This is because of we multiply 247 by 5, we get 1,235 and we can add 2 so we can have remainder 2
The difference between the next factor of 5 and the last one which has 247 as the multiple of 5 is 5
So adding 1,2,3 and 4 to the product will give a number that is not up to the next multiple of 5 and thus we can have our dividend with the remainder
Food World sells a 6 lb. bag of potatoes for $5.70. Which of the following is NOT an equivalent price per pound of potatoes?
A 7 lb. bag for $6.65
B 20 lb. bag for $19.00
C 16 lb. bag of $14.45
B 9 lb. bag for $8.55
Graph the equation 4x+9-3/5=10xy^3-49. Then solve for the square root of x
Answer: 4x+9-3/5=10xy^3-49
Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0
STEP
1
:
Equation at the end of step 1
3
((4x + 9) - —) - ((2•5xy3) - 49) = 0
5
STEP
2
:
3
Simplify —
5
Equation at the end of step
2
:
3
((4x + 9) - —) - (10xy3 - 49) = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
4x + 9 (4x + 9) • 5
4x + 9 = —————— = ————————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4x+9) • 5 - (3) 20x + 42
———————————————— = ————————
5 5
please help me......
Answers:
x = 5
y = -5
==================================================
Work Shown:
3x + 2y - 5 = 0
3(y+10) + 2y - 5 = 0 ... replace x with y+10
3y+30+2y-5 = 0 .... distribute
5y+25 = 0
5y = -25 .... subtract 25 from both sides
y = -25/5 .... divide both sides by 5
y = -5
Use this y value to find x
x = y+10
x = -5+10
x = 5
------------------
As a way to check, plug these x and y values into the first equation
3x + 2y - 5 = 0
3(5) + 2(-5) - 5 = 0
15 - 10 - 5 = 0
5 - 5 = 0
0 = 0
This confirms the first equation and helps confirm our answers.
What number could replace kkk below? \dfrac{k}{100} = \dfrac{1}{10} 100 k = 10 1 start fraction, k, divided by, 100, end fraction, equals, start fraction, 1, divided by, 10, end fraction k={}k=k, equals
Answer:
k = 10Step-by-step explanation:
Given the equation;
[tex]\dfrac{k}{100} = \dfrac{1}{10}[/tex]
We are to find the value of k.
Cross multiply;
[tex]\dfrac{k}{100} = \dfrac{1}{10} \\10 \times k = 100 \times 1\\10k = 100\\[/tex]
Divide both sides by 10
[tex]10k/10 = 100/10\\k = 10[/tex]
Hence the value of k is 10
Answer:
100/9
Step-by-step explanation:
On Khan