Answer:
42
Step-by-step explanation:
To find the amount of water in a 63-kg person you must first find the unit rate in an 84-kg person.
84 ÷ 56 = 1.5
1.5 is how much human body weight there is as a unit rate over 1-kg of water.
1.5 x 56 = 84, so this shows we are correct.
84 ÷ 1.5 = 56, so that goes even further to prove you are correct.
Now, what's the amount of water in a 63-kg person?
1.5 is the unit rate we found out was used, so it should still be proportional.
63 ÷ 1.5 = 42.
Indeed, it is proportional. You are correct.
The answer is 42.
There is 42 kg of water in a 63 kg person.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 4 is an equation.
We have,
The number of kilograms of water in a human body varies directly with the mass of the body.
This means,
W ∝ M
Where W is the kg of water and M is the mass of the body.
Now,
W = KM
W = 56 kg
M = 84 kg
So,
56 = 84K
K = 56/84
Now,
For M = 63,
W = KM
W = 56/84 x 63
W = 42
Thus,
There is 42 kg of water.
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domain: {4, 0} range: (-2, 0, 2}
b. domain: {4, 0, 4} range: (-2, 0, 2}
domain: (-2, 0, 2), range: {4,0}
d. domain: (-2, 0, 2), range: {4, 0, 4}
Answer:
C
Step-by-step explanation:
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90
Rel freq: 0.179 0.168 0.174 0.135 0.193 0.071 0.051 0.029
Is it true that more than 50% of the sampled angles are smaller than 15°, as asserted by researchers?
A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
B. Yes, the proportion of sampled angles smaller than 15° is not greater than 0.50.
C. No, the proportion of sampled angles smaller than 15° is greater than 0.50.
D. No, the proportion of sampled angles smaller than 15° is not greater than 0.50.
Answer: A. Yes, the proportion of sampled angles smaller than 15° is greater than 0.50.
Step-by-step explanation:
Given the data :
Class: _______ relative frequency
0−<5 __________ 0.179
5−<10 __________ 0.168
10−<15 _________ 0.174
15−<20 _________ 0.135
20−<30 _________0.193
30−<40 _________ 0.071
40−<60 _________ 0.051
60−<90 _________ 0.029
Evaluating the proportion of sampled angles less than 15°. This consist of the following classes :
Class: ________frequency
0−<5 __________ 0.179
5−<10 __________ 0.168
10−<15 _________ 0.174
Summing up the relative frequency values :
(0.179 + 0.168 + 0.174) = 0.521
0.521 * 100% = 52.1%
Hence, more than 50% of the sampled angles are smaller than 15°
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Find the solution of the system of equations. Explain or show your reasoning
{x+y=4.25} ; {16.90x+4y=36.35}
Answer:
The number of yards of silk = x = 1.5 yards
The number of yards of cotton = y = 2.75yards
Step-by-step explanation:
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Find the solution of the system of equations. Explain or show your reasoning
{x+y=4.25} ; {16.90x+4y=36.35}
Let the number of yards of silk = x
The number of yards of cotton = y
We are given the system of equations:
{x+y=4.25} ......Equation 1
x = 4.25 - y
{16.90x+4y=36.35}....... Equation 2
4.25 - y for x in Equation 2
16.90(4.25 - y) + 4y = 36.35
71.825 - 16.90y + 4y = 36.35
71.825 - 36.35 = 16.90 - 4y
35.475 = 12.90y
y = 35.475/12.90
y = 2.75 yards.
The number of yards of cotton = y
{x+y=4.25} ......Equation 1
x = 4.25 - y
x = 4.25 - 2.75
x = 1.5 yards
The number of yards of silk = x = 1.5 yards
The yards of silk bought is 1.49 yards and the yard of cotton bought is 2.76 yards.
The two equations are known as simultaneous equation. They would be solved using elimination method.
x + y = 4.25 equation 1
16.90x + 4y = 36.25 equation 2
where:
x = yards of silk bought
y = yards of cotton bought
In order to determine the value of x, multiply equation 1 by 4.
4x + 4y = 17 equation 3
Subtract equation 3 from 2
19.25 = 12.90x
Divide both sides of the equation by 12.90
x = 1.49 yards
In order to determine the value of y, substitute for x in equation 1
1.49 + y = 4.25
y = 4.25 - 1.49
y = 2.76 yards
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7th grade help me pleasee
y=12x^2-9x+4 does this have one two or no solution
Evaluate the expression of X = 3
Answer:
x=3
Step-by-step explanation:
x=3, there is no formula or anything...
In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.
Answer:
6.5
Step-by-step explanation:
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
From reference sheet.
\text{Find other angle:}
Find other angle:
\angle T=180-71-36=73^{\circ}
∠T=180−71−36=73
∘
T
U
V
t = 6.6
u = ?
71°
36°
73°
\frac{u}{\sin 71}=\frac{6.6}{\sin 73}
sin71
u
=
sin73
6.6
Plug in. Opposite sides go together.
u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5
u=
sin73
6.6sin71
≈6.526≈6.5
Solve for the side and evaluate.
Answer:
6.5
Step-by-step explanation:
deltamath
7th grade math help me plzzz
Answer:
[tex]b. \: \frac{1}{10} ......series[/tex]
7th grade math help me plzzzz
Answer:
B.
Step-by-step explanation:
Answer:
0.05 per ounce
Step-by-step explanation:
5.20 per 40 is 0.13 per ounce
whereas
2.70 per 15 is 0.18 per ounce
Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?
Answer:
at 5 hours he will have traveled 400 mi
Step-by-step explanation:
320÷4= 80
320=4, then 400=5
hope this helps
Tina is five years older than her brother Tom. The sum of their ages is 51 write an equation
What is the converse of the conditional statement?
If x is even, then x + 1 is odd.
A. If x is not even, then x + 1 is not odd.
B. lf x + 1 is odd, then x is even.
C. If x + 1 is not odd, then x is not even.
D. If x is even, then x + 1 is not odd.
Answer:
If x+1 is odd, then x is even B
Step-by-step explanation:
Conditional: If p, then q
Converse: If q, then p
p= x being even
q, x+1 being odd.
CAN SOMEONE PLEASE DOUBLE CHECK IF THIS IS RIGHT!!! Please
Answer:
yes yesss yessssssssssssssssssssssssssssssssssss
I need lots of help
Answer:
with what
Step-by-step explanation:
Which set of ordered pairs does not represent a function?
\{(5, -6), (-1, -2), (2, -9), (-8, -2)\}{(5,−6),(−1,−2),(2,−9),(−8,−2)}
\{(-5, 7), (-4, -9), (-5, -4), (2, -6)\}{(−5,7),(−4,−9),(−5,−4),(2,−6)}
\{(-4, 2), (-2, 8), (-1, 6), (5, 6)\}{(−4,2),(−2,8),(−1,6),(5,6)}
\{(2, 2), (-4, 9), (9, -3), (-3, 2)\}{(2,2),(−4,9),(9,−3),(−3,2)}
Answer:
the 1st, 2nd, and 4th one because those ordered pairs, the y axis is the same . sooo thats what makes it a non function .
x + 4x + 4 - 8x
please help
Answer:
The answer is -13x+4
Use the slope formula to determine the slope of the line.
(6,7) (9,9)
Answer:
2/3
Step-by-step explanation:
y2-y1/x2-x1
9-7/9-6
2/3
to bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar. How many grams of sugar would he need to bake 10 cookies?
answer:35 grams
explication: because if he need 350 grams of sugar to make 100 cookies , we have to divide 350 by 100 so it gives 35
The number of grams of sugar would he need to bake 10 cookies will be 35 grams.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
To bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar.
Let x be the amount of sugar for 10 cookies.
The number of grams of sugar would he need to bake 10 cookies will be
x / 10 = 350 / 100
x / 10 = 3.5
x = 35 grams
The number of grams of sugar would he need to bake 10 cookies will be 35 grams.
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Choose all numbers that are divisible by 2
Answer:
91066
32626
Are the only answers there
Given a linear equation in the form y=mx+b, what are the values of the slope and y-intercept of the equation?(1 point) The slope is m, and the y-intercept is y. The slope is x, and the y-intercept is b. The slope is b, and the y-intercept is m. The slope is m, and the y-intercept is b.
Answer:
The slope is m, and the y-intercept is b.
Step-by-step explanation:
What ever is attached to the x is the slope. The y-intercept is the b because it has a 0 on the x axis and a number on the y axis.
Tyler has 2 dogs and 7 fish. What is Tyler's ratio of fish to dogs?
Answer:
2:7
Step-by-step explanation:
Answer:
2:7
Easy.
Come on bro this is like one of the easiest questions in the world
Find the slope of the line through the pair of points: (6,12) and (-6, -2)
Answer: The answer would be 1
Step-by-step explanation:
Rise over run or fall over run so the fall is 10 and run is 10 and 10/10 is 1.
Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.
Week Mass (grams)
(start) 80
1
2
3
4
Answer:
Week 1 = 80
Week 2 =88
Week 3 = 96.8
Week 4 = 106.48
Week 5 = 117.128
Step-by-step explanation:
Given
Week 1 = 80
Growth = 10%
Required
Fill week 1 to 5
We have week 1 already.
Week 2 is calculated as thus:
Week 2 = Week 1 + 10% * Week 1
Week 2 = 80 + 10% * 80
Week 2 = 80 + 8
Week 2 = 88
Week 3 is calculated as thus:
Week 3 = Week 2 + 10% *Week 2
Week 3 = 88 + 10% * 88
Week 3 = 88 + 8.8
Week 3 = 96.8
Week 4 is calculated as thus:
Week 4 = Week 3 + 10% * Week 3
Week 4 = 96.8 * 10% *96.8
Week 4 = 96.8 + 9.68
Week 4 = 106.48
Lastly, week 5 is calculated as thus:
Week 5 = Week 4 + 10% * Week 4
Week 5 = 106.48 + 10% * 106.48
Week 5 = 106.48 + 10.648
Week 5 = 117.128
5x - 12=18
Solve for x
Answer:
x = 6
Step-by-step explanation:
Add 12 to each side, so it now looks like this: 5x = 30Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 6I hope this helps!
Question:
x = __ degrees
Answer:
80°
Step-by-step explanation:
Because a straight line always is equal to 180°
so 180 - 100 = 80
Your answer is 80.
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Find a pair of numbers with
1. a sum of 40 and a product of 400
2. a sum of 15 and a product of 54
What is 0.22778 as a percentage
Answer:
22.778%
Step-by-step explanation:
0.22778/1*100/100=22.778/100
help plz explain how to use discributive property
1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.
2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.
3.Multiply every term in the equation by the LCM.
4.Isolate variables adding or subtracting like terms on both sides of the equals sign.
5.Combine like terms.
6.Solve the equation and simplify, if needed.
Waters added or drain from a tank each day the first day 13/10 of a gallon is added to the empty tank the second day 11/10 of a gallon is drained from the tank the third day 12/10 of a gallon is added to the tank the fourth day 1 gallon is drained from the tank the amount of water in the tank after 15 days is given by
Answer:
2 gallons
Step-by-step explanation:
You have to find the pattern of adding and draining water for 15 days. To get there you need to subtract 2 and add 1 but keep the negative/positives the same i.e. (this is for the 10ths of gallons)
13-2=11
11+1=10
keeping the pattern for 15 days:
+13, 11,+12,-10,+11,-9,+10,-8,+9,-7,+8,-6,+7,-5,+6 = 20 (10ths of gallons)
20/10 = 2
Jose filled up his car with gas before embarking on a road trip across the country. The
capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4
gallons of gas left in the tank. Write an equation for G, in terms oft, representing the
number of gallons of gas remaining in Jose's gas tank after t hours of driving.
Answer:
g=-2t+12
Step-by-step explanation:
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Jose filled up his car with gas before embarking on a road trip across the country. The capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4 gallons of gas left in the tank.
The slope of the equation will be
⇒ (12 - 4) / 4
⇒ 8 / 4
⇒ 2 gallons per hour
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be
G = 12 - 2t
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.
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