Solution,
Change in water level is [tex]1\dfrac{1}{2}\ \text{inches}=\dfrac{3}{2}\ \text{inches}[/tex]
The water level of a lake fell by [tex]1\dfrac{1}{2}[/tex] inches during a [tex]1\dfrac{2}{3}\ \text{or}\ \dfrac{5}{3}[/tex]week-long dry spell.
Average rate at which the water level changed every week is given by :
[tex]R=\dfrac{1\dfrac{1}{2}}{1\dfrac{2}{3}}\\\\R=\dfrac{\dfrac{3}{2}}{\dfrac{5}{3}}\\\\R=\dfrac{3}{2}\times \dfrac{3}{5}\\R=\dfrac{9}{10}\\\\R=0.9[/tex]
Hence, the average rate is 0.9 every week.
more FILL IN THE BLANKS FOR SCHOOL.... please help soon as possible
Answer:
2
Step-by-step explanation:
-42/14 = 3, so you need to cancel out the 1/2 being multiplied on the bottom part of the fraction
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
x
y
0
0
15
3
30
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
(10, 2)
(40, 9)
(50, 38)
(100, 76)
Answer:
(10, 2)
Step-by-step explanation:
I just did the quiz.
The additional set of values that could be included in the table will be ( 10, 2). the correct option is A.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given table is as follows:-
x y
0 0
15 3
30 6
Here the x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
The ratio between the values x and y is 15:3 or 30:6 or 5 :1. From the given options the additional set of values that could be included in the table having the same ratio of 5:1 is ( 10, 2 ).
Therefore, the additional set of values that could be included in the table will be (10, 2). the correct option is A.
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What is the maximum of the numbers listed below?
5.2, 5.4, 4.9, 4.4, 5.1
Answer:
5.4
Step-by-step explanation:
5.2, 5.4, 4.9, 4.4, 5.1
4.4, 4.9, 5.1, 5.2, 5.4
5.4 is the maximum
Hope this helped!
Identify a like that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original. Geometry. Please Help!!
Answer: x=6
Step-by-step explanation: move 6 spaces and you get the same vertices
What is R,S,W? I really need help!
Answer:
R- 73°
S- 73°
W- 138°
Step-by-step explanation:
Every triangle is 180°.
So 65+42=107
180-107=73
So that's the triangle to the right.
Now the other one is identical.
So we know the line w is on is 180°
On the corner w is on it took up 42°
So 180-42= 138° (which is 'w')
Hope it helps! :D
What is the definition of supplementary angles.
Answer: either of two angles whose sum is 180°.
Step-by-step explanation:
Answer:
either of two angles whose sum is 180°
Step-by-step explanation:
An AP is given by k,2k/3,k/3,0 .....Find the sixth term. find the nth term. If the 20th term is equal to 15, find k
9514 1404 393
Answer:
6th term: 8k/3n-th term: an = k + (k/3)(n -1)k = 45/22 for 20th term = 15Step-by-step explanation:
You know the general term of an AP is ...
an = a1 +d(n-1)
Here, a1 = k. The common difference is ...
2k/3 -k = -k/3
So, the general term is ...
an = k +(k/3)(n -1) . . . . the general term
__
The 6th term is then ...
a6 = k + (k/3)(6 -1) = (3k +5k)/3 = 8k/3 . . . . 6th term
__
The 20th term is ...
a20 = k + (k/3)(20 -1) = 22k/3
If this is 15, then the value of k is ...
22k/3 = 15
22k = 45
k = 45/22 . . . . value of k for a20 = 15
Which expressions of signed decimal numbers have negative quotients? Check all that apply.
1.4 ÷ 99.9
5.7 ÷ –2.2
–0.01 ÷ 0.05
–3 ÷ –0.009
0 ÷ –8.6
Answer:
im sorry im late but its b and c
Step-by-step explanation:
Suzi starts her hike at 200 feet below sea level. When she reaches the end of the hike, she is
still below sea level at -190 feet. What was the change in elevation from the beginning of
Suzi's hike to the end of the hike?
Can someone help me with this geometry problem tysm
Answer:
2x=128 x=64
Step-by-step explanation:
64x 2 =128
Which of the following equations is equivalent to 2(a + 6) – 3(a – 5) = 18?
A: 5a + 27 = 18
B: 5a - 3 = 18
C: -a + 27 = 18
D: -a + - 3 = 18
Answer:
c
Step-by-step explanation:
Add.
(2x2 – 2x) + (6x - 4)
A. 2x2 - 8x+ 4
O B. 12x3 – 20x2 + 8x
O c. 8x2 - 6x
O D. 2x2 + 4x - 4
Answer:
D. [tex]2x^{2} +4x-4[/tex]
Step-by-step explanation:
Remove parentheses.
[tex]2x^{2} -2x+6x-4[/tex]
Add -2x and 6x
[tex]2x^{2} +4x-4[/tex]
What is the value of 12 Superscript 0?
Answer:
1
Step-by-step explanation:
So when we raise a number to the zeroth power, that means we multiply the number by itself zero times - but that means we're not multiplying anything at all! ... In short, 0 is the only number such that for any number x, x + 0 = x
Answer:
Hi there! The answer to this question is 1.
Hope this helps :D
Help meeee it's math ::Simplify an expression for the perimeter of the rectangle shown
0.12k = 10.08
A.)48
B.)84
C.)0.48
D.) 0.048
Answer:
[tex] k = 10.08 \times 100 \div 0.12 \times 100 = 1008 \div 12 = 84[/tex]
Step-by-step explanation:
option B 84
.
2 pay raises in 3 years unit rate
Answer:
1:1.5
Step-by-step explanation:
cut the 3 in half and cut the 2 in half
A kid at the pool goes to jump from the high diving board. He climbs the stairs 3 feet, but he has to wait for the kid in front of him to go. He climbs up another 5 feet to the diving board, then jumps into the pool, descending 10 feet below the diving board. How far does the kid need to swim up to reach the surface of the water?
Answer:
Probably 5 feet
Step-by-step explanation:
Since the diving board is 5 feet then it is 10 feet the it equals 5 feet if you half it
Sorry if wrong and hope this helps
Let f(x)=10x. Which function represents a transformation of f(x) by a vertical stretch with factor 1.25? g(x)=101.25x g(x)=0.8⋅10x g(x)=1.25⋅10x g(x)=100.8x
Answer:
g(x) = 1.25 x 10^x
Answer:
g(x)=1.25 ₓ 10ˣ
Step-by-step explanation:
For which value of x should the following expression be further simplified?
Answer:
B) x = 6
Step-by-step explanation:
If you try substituting all the numbers (from these options) for x, you'll find that 6 is the only x value that can let the expression be further simplified.
[tex] \sqrt{39 \times 6} [/tex]
[tex] \sqrt{234} [/tex]
[tex] \sqrt{9 \times 26} [/tex]
[tex] \sqrt{9} \times \sqrt{26} [/tex]
[tex]3 \sqrt{26} [/tex]
What is the answer for number 11
Answer: C
Step-by-step explanation: First you have to do y-y÷x-x. So first you do 2-3 which gives you -1. Then you do 6-4 which gives you 2. Then you divide -1÷2 which gives you -0.5x. Now you know it's either C or D because it's negative. For the y-intercept, you have to plug in one of the ordered pairs to y and x using the slope-intercept form.
Math-I’m only in 6th grade- what would I write?
Answer:
R;2 B;1 P;
Step-by-step explanation:
R is red there are 2 reds
B is blue there are 1 blues
P is purple there are 1 purples
Find the product of 742 and 73 Type your answer...m
Answer:
31906.hope it helps you.
Step-by-step explanation:
742*73=31906
The ellipse is centered at the origin, its major axis is horizontal, with length 8; the length of its minor axis is 4;
Consider we need to find the equation of ellipse.
Given:
Ellipse is centered at the origin.
Major axis is horizontal, with length 8.
The length of its minor axis is 4.
To find:
The equation of ellipse.
Solution:
Major axis is horizontal, so standard form of ellipse is
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center of the ellipse and length of major axis is 2a and length of minor axis is 2b.
Ellipse is centered at the origin. So, h=0 and k=0.
Major axis is horizontal, with length 8.
[tex]2a=8[/tex]
[tex]a=4[/tex]
The length of its minor axis is 4.
[tex]2b=4[/tex]
[tex]b=2[/tex]
Substitute h=0, k=0, a=4 and b=2 in equation (i).
[tex]\dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{2^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex]
Therefore, the required equation of ellipse is [tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex].
what is the L.C.Mof 6 and 12?
Answer:
Lcm of 6 and 12 is 12
Step-by-step explanation:
Because if you do the Lcm =
corey tracks heart rate after coming off the ice in a hockey game. in 1/6 minute, her heart beats 26 times.
Answer:156
Step-by-step explanation: 26÷1/6 =26×6 =156
The intensity level is moderate
In one second Corey's heart will beat 3 times.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Corey's heart beats 26 times in 1/6 minutes.
Assume that her heart beats [x] times in 1 second. Then -
1/6 of minute = 1/6 x 60 = 10 seconds
In 10 seconds, her heart beats 26 times
So, in one second, her heart will beat (26/10) = 2.6 times = 3 times (approx.).
Therefore, in one second Corey's heart will beat 3 times.
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A box of Shredded Wheat weighs 0.35 kg and a box of Weetabix weighs 9/25 kg?
Which box is heavier?
Show your work
PLEASE HELP DUE TONIGHT THANK YOU SO MUCH
Answer: The box of Weetabix is heavier by 0.01 kg
Step-by-step explanation:
Divide 9/25 to get the decimal equivalent
9÷25 =0.36
Compare Shredded Wheat at 0.35 kg to Weetabix at 0.36 kg
Weight of the box of Shredded Wheat is [tex]0.35[/tex] kg and weight of the box of Weetabix is [tex]0.45[/tex] kg.
So, the box of Weetabix is heavier.
Weight of the box of Shredded Wheat [tex]= 0.35[/tex] kg.
Weight of the box of Weetabix [tex]= \frac{9}{25}[/tex] kg.
Here to compare the two weights, first make both of them similar.
Either make both of them decimals or both of them fraction.
Here, we will make both the weights decimals.
[tex]\frac{9}{20} = 0.45[/tex]
Now, [tex]0.45>0.35[/tex]
So, the box of Weetabix is heavier.
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Jonathan purchases 4 loaves of bread for 3.63 each. How much did he spend on bread?
Solve 2y – 3 = 4y + 6.
ys
18.75 divided by 0.70
Answer:
26.79 (rounded to the nearest hundredth)
The sum of 14 and which number will equal -3
Answer:
-17
Step-by-step explanation:
-3-14 = -17
-17 + 14 = -3
