Answer:
Constant of proportionality; k = 20/3
Step-by-step explanation:
Let running be A and sprinting be B.
Now, we are told that you run 20 seconds for every 3 seconds you sprint.
This means that is directly proportional to B and written as; A ∝ B.
Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.
Thus, A = kB
Where k is the constant of proportionality
Plugging in the values of A and B we are given, we have;
20 = 3k
Divide both sides by 3 to get;
k = 20/3
Jenny & Natasha are working on a problem together: Solve x / 3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
Answer:
−2x3
Step-by-step explanation:
i sloved the equation then mulitipilied by 3
The amount of milk that the bakery used this month was a 75% decrease relative to last month. What is the new amount of milk using percent?
Answer:
25%
Step-by-step explanation:
the answers
The new amount of milk using percent is 25.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then the percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We are given that the amount of milk that the bakery used this month was a 75% decrease relative to last month.
Therefore, for last month, we have a rectangle with four equal areas 75% decrease,
we have to remove 3 areas to make the remaining = 25%
So, the difference will give a 75% decrease
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When three times the sum of a number and seven is increased by ten, the result is four.
Answer:
3x+7(10)=4
Step-by-step explanation:
???
2/5 - 4 (5.4) solve
Answer: -106/5= −21.2
Step-by-step explanation: Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 - (108)/5 = -106/5
using logarithms table, evaluate
4.962-√4.779
Answer:
3.404
Step-by-step explanation:
What is 797 rounded to the nearest ten?
Answer: 800
Step-by-step explanation:
You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 7,200 J
B. 60 J
C. 14,400 J
D. 29 J
This is for apex i need help asap
Solve
8(12 - k) = 3(k + 21)
Please help! I am confused with some signs.
Answer: k = 3
Step-by-step explanation:
U first expand
96 - 8k = 3k + 63
Then u add 8k from both sides
96 = 3k + 63 + 8k
then u simplify
3k + 63 + 8k to 11k + 63
then u subtract 63 from both sides
96 = 11k + 63
Then u simplify 96 - 63 to 33
33 = 11k
Then u divide both sides by 11
33/11 = k
then u simplify 33/11 to 3
3 = k
and last u switch the sides
k = 3
A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a common belief that refrigerated batteries last longer. This belief is tested by placing 10 fully charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. A coin tip was used to determine which type of storage each battery would be placed in first. Results indicated that there was no difference in the two types of storage Complete parts (a) through in below.
What type of experimental design is this?
A) Matched pairs design
B) Completely randomized design
C) Randomized block design
D) Case-control study
Answer:
A) Matched pairs design
Step-by-step explanation:
In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.
Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.
Write the equation of each line described in slope-intercept form (y = mx + b) with a slope of -6 and x-intercept of 4. (4,0)
Answer:
ill give u the answer if u do 73 divided by 2628
Step-by-step explanation:
find the sum of (3a+7)+(a−1)
Answer:
[tex] \huge{ \bold{ \boxed{ \text{4a + 6}}}}[/tex]
Step-by-step explanation:
[tex] \text{ (3a + 7) + (a - 1)}[/tex]
In addition , sign of each term in the expression remains unchanged. So, Remove the unnecessary brackets.
[tex] \text{⇢ \: 3a + 7 + a - 1}[/tex]
Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
[tex] \text{⇢ \: 3a + a + 7 - 1}[/tex]
[tex] \text{⇢ \boxed{ \text{4a + 6}}}[/tex]
And we're done! :D
Hope I helped!
Best regards! :D
~TheAnimeGirl
Evaluate the expression -7(-6)+12
Answer: 54
Step-by-step explanation: coz I juss know
1 1/4 packages of beads to make 10 bracelets. he wants to make 25 bracelets. how many packages of beads will he use
Answer:
55/8
Step-by-step explanation:
If 11/4 packages of beads are used to make 10 bracelets;
Hence the number of packages of beads that would be used to make 25 bracelets = (11/4 × 25)/10 = 55/8 packages of beads.
what is an equation of the line that is parallel to y=-5+6 and passes through the poing (-4,-1)
Answer:
y=5x+19
Step-by-step explanation:
y+1=-5(x+4)
y+1=-5x-20
Subtract 1 (like terms)
y=-5x-21
In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 101. What is the probability that the sample proportion will be within 3 percent of the population proportion?
Answer:
0.5137
Step-by-step explanation:
The margin of error equals the critical value times the standard error.
MoE = CV × SE
In this case, the critical value is the z-score.
For a proportion, the standard error is:
SE = √(pq/n)
SE = √(0.75 × 0.25 / 101)
SE = 0.04309
Therefore:
0.03 = z × 0.04309
z = 0.6963
So the probability is:
P(-0.6963 < Z < 0.6963)
= P(Z < 0.6963) − P(Z < -0.6963)
= 0.7569 − 0.2431
= 0.5137
Harriet paid $349.65 for 7 fruit trees. If each of the trees cost the same, what is the cost for one tree?
Answer:
$49.95
Step-by-step explanation:
Since each tree costs the same, we can find the individual cost by dividing the total cost by the number of trees:
349.65/7
= 49.95
So, the cost of one tree is $49.95
Write the inequality given below.
Eight less than 2 times a number is more than 12.
Answer:
Step-by-step explanation:
8-2x>12
will be nice if you give me brainlies.Good luck!
10b - 2 = 7b - 7.4 NEED ASAP!!!!!!!
Answer:
b=−1.8
Step-by-step explanation:
Suatu ketika Pak Veri membeli dua karung beras untuk kebutuhan hajatan di rumahnya setelah dibawa pulang istri Pak Veri merasa beras yang dibeli kurang kemudian Pak Veri membeli lagi sebanyak 5 kg Nyatakan bentuk aljabar dari beras yang dibeli Pak Veri
Menjawab:
2k + 5
Penjelasan langkah demi langkah:
Mengingat bahwa:
Pembelian pertama:
Karung beras yang dibeli = 2
Tambahan kg beras yang dibeli = 5kg
Misalkan banyaknya kg dalam satu karung beras = k
Karenanya,
Pembelian pertama + pembelian tambahan
2k + 5
Oleh karena itu, ungkapan aljabar untuk Beras yang dibeli oleh Pak Veri dalam kg:
2k + 5
k diberikan dalam kg
-6(x + 3) + 10 < -2
what does x equal
Answer:
x will be -1
How it is written: x > -1
In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to boys? Group of answer choices
14:26
14:40
26:40
26:14
Answer:
26:14
Step-by-step explanation:
It ask for girls first and there are 26, then boys which is 14. So the ratio would be 26:14.
Hope this helps
Solve 5y + 9 <4
The solution is
Answer:
y< -1
Step-by-step explanation:
the last washer is 7/10 pls help me thank u
Given the sample data x: 23 17 15 30 25 (a) Find the range.
15 because range is biggest number (30) take away smallest number (15)
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? (1 feet = 12 inches)
Why can't a whole number be irrational? Please dumb it down for me
Answer and Step-by-step explanation:
A whole number isn't irrational because it is a whole number. Confused? Most likely.
A whole number is any of the numbers {0, 1, 2, 3, ...} etc. There is no fractional or decimal part. And no negatives. Example: 5, 49 and 980 are all whole numbers.
An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational. The irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
These are both real numbers because they don't go through the 4th wall (of science/math)
Imaginary numbers would use i.
Solve It! The area of a rectangular solar panel is given by the trinomial below.
x^2+7x+12
The height of the solar panel is given by the binomial below.
x+3
What is an expression for the length of the panel?
A.x^2+6x+9
B.x+3
C.x^2+3
D.x+4
Answer:
im not sure hmu if gets answered
Step-by-step explanation:
Round the number to the place of the underlined digit. 42.76 The rounded number is
Answer:
what am i supposed to be rounding to
Step-by-step explanation:
if i was rounding to the tenths it would be 42.8
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%
Complete question :
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%. What is his gain or loss percent
Answer:
1.72%
Step-by-step explanation:
Given that :
MACHINE 1:
Sales price = 990
Profit percent = 10%
The cost price of the machine (x) :
10% profit of x :
(100 + 10)% of x = 990
110% of x = 990
1.1x = 990
x = 990/1.1
x = 900
MACHINE 2:
Sales price = 1960
Loss on sale = 2%
Cost price (x) :
(100 - 2)% of x = 1960
98% x = 1960
0.98x = 1960
x = 1960/0.98
x = 2000
Total amount realized from sale = (990 + 1960) = 2950
Total cost of production = (2000 + 900) = 2900
Profit Made = (2950 - 2900) = 50
% profit:
(Profit / cost of production) * 100
(50 / 2900) * 100%
0.0172413 * 100%
profit % = 1.72
The profit made is 50
Cost price of first machine will be:
= 100/(100 + 10) × 990
= 100/110 × 990
= 100 × 9
= 900
Cost price for second machine will be:
= (100 - 2) × x = 1960
= 98% × x = 1960
= 0.98x = 1960
x = 1960/0.98.
x = 2000
The total cost price = 900 + 2000 = 2900
Total selling price = 990 + 1960 = 2950
Therefore, profit will be:
= Selling price - Cost price .
= 2950 - 2900
= 50
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