Answer: a=6 and b=2
Step-by-step explanation:
Let say A and b the 2 numbers.
[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]
At a cost of $8 per pound, how many ounces of rolled oats can be bought for $4.70?
Answer: 9.4 ounces.
Step-by-step explanation:
There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.
if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage
Hi,
To solve this problem, Let us take the LCM of 10 and 16 which will come 80.
Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n
According to the question, CP of 10 tables is equal to the SP of 16 tables, then
the SP of 16 tables will also be ₹ n.
So, SP of 80 tables will be ₹ 5n
So, Loss = CP-SP
→ 8n - 5n = ₹ 3n
Loss%= (3n×100)/8n
Loss%= 37.5%.
Hence the correct answer will be a loss of 37.5%.
Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, 6 1/3 and oſ cups of strawberry lemonade to make some punch. What is the
total number of cups of punch that Peter makes?
If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.
Answer:
2000
Step-by-step explanation:
Please help!! 7th grade math! will mark brainlist!!!
Answer:
A: rectangle
B: still a rectangle
Step-by-step explanation:
Basically, if you cut it in half starting from the top straight down it would make it a rectangle because it can't be a square because all sides are not equal. And if you go from the far right top edge to the bottom left edge it will still be a rectangle but long.
Hope this helps love <3
If 32^2^c= 8^cC+7, what is the value of c?
Answer:
C=3
Step-by-step explanation:
11. The temperature was 81°F at 4PM and steadily decreased 3° each hour. What was the
temperature at 8PM?
Answer:
69°
Step-by-step explanation:
4x3 = 12
81 - 12 = 69
69°
6927÷19 plz help me
1 tenth + 2 tenths = blank tenths =
Answer:
3 tenths +4 tenths: 7 tenths
Step-by-step explanation:
2+1 :3
so
3+4:7
A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
16 inches : ______ feet
Answer:
640 feet
Step-by-step explanation:
8 = 320
16 = 640
Answer:
640
Step-by-step explanation:
8-->16
320-->640
If a function is defined by the equation y = 1/2x -3/2 , which equation defines the inverse of this function?
Answer:
B
Step-by-step explanation:
Rearrange the equation making x the subject
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )
2y = x - 3 ( add 3 to both sides )
2y + 3 = x
Change y back into terms of x with x being the inverse function, that is
y = 2x + 3 → B
A farmer performs a cross between two species of flowers and expects a distribution of 25% red, 50% pink, and 25% white flowers. Out of 224 flowers, the following numbers of red, pink, and white flowers were observed. Calculate the expected number of each type of flower.
Answer:
the number of pink would be 112 because 224 divided by 2 is 112 then the red and white are 56 cuz 112 divided by 2 is 56
Step-by-step explanation:
Which expressions are equivalent to the expression 7(5 + m) - 8?
Answer:
27 + 7m
Step-by-step explanation:
[tex]7(5 + m) - 8[/tex]
open the bracket:
[tex] = 35 + 7m - 8 \\ = 27 + 7m[/tex]
Simplify. √ −18
A -3i√2
B 3i√2
C 9i√2
D -3√2
Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did
wrong.
Jaxson's work:
8 3/5 + 7 1/8 = 15 4/13
Answer:
4/13 very identifies what Jaxson did wrong.
Step-by-step explanation:
The addition of the whole number part of the fraction was well done that is (8+7)
What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.
what is an acid or a base
an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .
A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .
hope this helps you
mrk me braniliest plz
Answer:
a acid is a substance that can donate protons . or accepts the balance protons to form a bond .
a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .
Which expresses 0.025 as a percent?
A- 0.025%
B- 2.5%
C- 0.0025%
D- 0.25%
Answer:
a is the answer I'm 1000% sure
I need help with #28
9514 1404 393
Answer:
13
Step-by-step explanation:
If we assume that points P, Q, R, S are in that order on a arc centered at O, then we have ...
∠POQ +∠QOS = ∠POR +∠ROS
∠ROS = ∠POQ +∠QOS -∠POR
∠ROS = 28 +46 -61 = 13
A man spent 58% of his income and the amount left was GHC 210,000.00
find his income.
Answer:
Step-by-step explanation:
$211000 are 100% - 58% = 42% of the (former) income.
Therefore, 1% is 42 times less: 211000/42 = 5023.81,
and the (former) income was 100 times this value, i.e. GHC 502381.
Which of the following is true, according to the graph?
There is a much larger preference for science among those who prefer R&B.
There is a much larger preference for English among those who prefer rock.
There is a much smaller preference for math among those who prefer country.
The percentages for class preference are relatively the same among the different music groups.
Answer:
a one is right answer
Step-by-step explanation:
h.j.j.k kaoa0
Need help for this question. ASAP
Answer:
Data set A1, 2, 2, 2, 3, 4, 5Mean = (1 + 2*3 + 3 + 4 + 5)/7 = 2.71Mode = 2Median = 2Mean > median ⇒ Skewed rightData set B1, 2, 3, 4, 4, 4, 5, 6, 7Mean = (1 + 2 + 3 + 4*3 + 5 + 6 + 7)/9 = 4Mode = 4Median = 4Mean = median ⇒ SymmetricalData set C1, 1, 2, 2, 3, 3, 4, 4Mean = (1*2 + 2*2 + 3*2 + 4*2)/8 = 2.5Mode = noneMedian = (2+3)/2 = 2.5Mean = median ⇒ UniformData set D1, 2, 3, 4, 5, 5, 5, 6Mean = (1 + 2 + 3 + 4 + 5*3 + 6)/8 = 3.875Mode = 5Median = (4+5)/2 = 4.5Mean < Median ⇒ Skewed leftWhat is 1 1/2 + 3/16
Can I please have some help fast
Answer:
The second one
Step-by-step explanation:
In that table, all the numbers in the column B can be found multiplying the numbers of column A by 4, and that's a property of ratio
Find the area of the triangle with the vertices A (3, -5), B (-2, -7) and C (18, 1) such that A, B and C are collinear.
9514 1404 393
Answer:
0
Step-by-step explanation:
Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)
Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.
9514 1404 393
Answer:
ΔABC -- 60 inchesΔDEF -- 100 inchesStep-by-step explanation:
If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...
P -3/5P = 40 in
2/5P = 40 in
P = (5/2)(40 in) = 100 in
3/5P = 3/5(100 in) = 60 in
The smaller triangle perimeter is 60 in; the larger is 100 in.
simplify
-12 divided by 3 x (-8 + (-4) ^2 - 6) + 2
[tex] \large \mathfrak{Solution : }[/tex]
-12 ÷ 3 × (-8 + (-4)² - 6) + 2-12 ÷ 3 × (-8 + 16 - 6) + 2-12 ÷ 3 × 2 + 2 -4 × 2 + 2-8 + 2-6equivalent expressions-8(3r-4)-6
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{-8 (3r - 4) - 6}[/tex]
[tex]\huge\text{= -8(3r) + (-8)(-4) - 6}[/tex]
[tex]\huge\text{= -24r + 32 - 6}[/tex]
[tex]\huge\boxed{\textsf{COMBINE the LIKE TERMS}}[/tex]
[tex]\huge\text{= -24r + 6}[/tex]
[tex]\huge\boxed{\mathsf{Answer: {= -24r + 6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
(6x-5y+4)dy+(y-2x-1)dx=0
(6x - 5y + 4) dy + (y - 2x - 1) dx = 0
(6x - 5y + 4) dy = (2x - y + 1) dx
dy/dx = (2x - y + 1) / (6x - 5y + 4)
Let X = x - a and Y = y - b. We want to find constants a and b such that
dY/dX = (a rational function)
where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have
dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)
dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)
Then we solve for a and b in the system,
2a - b + 1 = 0
6a - 5b + 4 = 0
==> a = -1/4 and b = 1/2
With these constants, the equation reduces to
dY/dX = (2X - Y) / (6X - 5Y)
Now substitute Y = VX and dY/dX = X dV/dX + V :
X dV/dX + V = (2X - VX) / (6X - 5VX)
The equation becomes separable after some simplification:
X dV/dX + V = (2 - V) / (6 - 5V)
X dV/dX = (2 - V) / (6 - 5V) - V
X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)
X dV/dX = (4V - 4) / (6 - 5V)
- (5V - 6) / (4V - 4) dV = 1/X dX
Integrate both sides:
-5/4 V + 1/4 ln|4V - 4| = ln|X| + C
Extract a constant from the logarithm on the left:
-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C
-5/4 V + 1/4 ln|V - 1| = ln|X| + C
-5V + ln|V - 1| = 4 ln|X| + C
Get this back in terms of Y :
-5Y/X + ln|Y/X - 1| = 4 ln|X| + C
Now get the solution in terms of y and x :
-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C
With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as
-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C
-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C
-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C
-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C
2. Consider the division operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
Irrational
O
O
Flá na por laskas
5
16
o
o
Answer:
All are rational.
Step-by-step explanation:
1)
=1/3/3/5
=1/3×5/3
=5/9
5/9 is non-terminating and recurring number so it is rational.
2)
4/3√9/5
=4/3*3/5
=4/5
4/5 is a terminating number it is rational.
3)
2*√16/√4
=2*4/2
=4
4 is a natural/whole number it is also rational.
Note:if you need to ask any questions please let me know.
I know the answer don’t know how though
Answer:
16384Step-by-step explanation:
As,
[tex] {2}^{15} [/tex]
Meaning that 2 multiplied 15 times here,
Equals 32 768
Now,
[tex] {2}^{14} [/tex]
Meaning that 2 multiplied 15 times then divided by one time 2,
Equals 32 768 ÷ 2 = 16384 (Ans)
