Answer:
m = 2
n = 4
Step-by-step explanation:
Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:
3m + n = 10
multiply both sides by 2
6m + 2n = 20
now, in both of your equations you have 2n so you can add the two equations:
6m + 2n = 20
+ 5m - 2n = 2
11m = 22
divide both sides by 11
m = 2.
Now, plug this value into the original equation, 3m + n = 10:
3 * 2 + n = 10
6 + n = 10
subtract 6 from both sides
n = 4
A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?
Answer:
$67.49 and 1/4 of a cent
Step-by-step explanation:
25% of 89.99 = 224975
89.99-22.4975=67.4925
Answer:
25%=1/4 1/4 of 90= 22.5 90-22.5=67.5
Step-by-step explanation:
Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.
72 nuts mix the trail 4 ➕ 8
Answer:
Step-by-step explanation:
What is the standard form of 17 and 223,000
What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
48/100
Step-by-step explanation:
because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.
pa^2 + qb^2 + pb^2 + qa^2
Answer:
p
a
+
q
a
−
r
a
+
r
b
−
q
b
−
p
b
Regroup terms.
p
a
−
p
b
+
q
a
−
r
a
+
r
b
−
q
b
Factor
p
out of
p
a
−
p
b
.
Tap for more steps...
p
(
a
−
1
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Rewrite
−
1
b
as
−
b
.
p
(
a
−
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Factor out the greatest common factor from each group.
Tap for more steps...
p
(
a
−
b
)
+
a
(
q
−
r
)
−
b
(
−
r
+
q
)
Factor the polynomial by factoring out the greatest common factor,
q
−
r
.
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
Factor
a
−
b
out of
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
.
Tap for more steps...
(
a
−
b
)
(
p
+
q
−
r
)
3629 you can use the digits twice make the largest four digit number
Answer:
9632
or
9966
Step-by-step explanation:
im not 100% sure
Find the solutions of each equation on the interval [0, 2π)
Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
x = π
3(x-4)=12x distributing or diving
What is the value of x?
3
4
6
8
Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.
Answer:
let x be the number then,
according to question ,
10+4x=73-3x
or, 4x+3x=73-10
or, 7x= 63
or, x= 63÷7
or,x=9 ans
hence , the number is 9
k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today
Answer:
Today, kai ran 1 3/5 kilometers.
Step-by-step explanation:
im sorry if this is incorrect.
NEED HELP W GEOMETRY
In △
ABC, ∡A
is 2 more than twice ∡B
, and ∡C
is 7 less than twice ∡B
. What is the measure of each angle in △
ABC and what is its classifications?
Answers:
Angle A = 76Angle B = 37Angle C = 67Triangle ABC is an acute triangle. It's also a scalene triangle.
====================================================
Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
----------------
In summary, we have these three interior angles
A = 76B = 37C = 67As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
what is 8% as a decimal or fraction in simplest form and a fraction of 100
Answer:
=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are:
a. probably equal.
b. probably unequal.
c. incomparable.
Answer:
Probably unequal ( B )
Step-by-step explanation:
experimental group = 10
using 85% ethanol gasoline
mean = 240 pounds per 100 miles
standard deviation = 20 pounds
control group = 14 vehicles
using regular gasoline
mean = 252 pounds per 100 miles
standard deviation = 15 pounds
comparing the sample variance of each group shows that they are probably unequal using the equation below
Variance for a sample set of data = ∑ ( x - X ) ^2 / n - 1
where n = number of events
X = mean value
x = value of events
3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.
(a) Write an equation to determine the amount of substance, S, left after t years.
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
Answer:
a) [tex]S(t) = 42(0.9995)^t[/tex]
b) It will take 10,692 years.
Step-by-step explanation:
Exponential function to determine the amount of substance:
An exponential function to determine the amout of substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
(a) Write an equation to determine the amount of substance, S, left after t years.
Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].
We use this to find r. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]
[tex](1-r)^{1300} = 0.5[/tex]
[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]
[tex]1 - r = 0.9995[/tex]
[tex]r = 0.0005[/tex]
Sample of 42 grams means that [tex]A(0) = 42[/tex]. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
Replacing A by S, just for notation purposes
[tex]S(t) = 42(0.9995)^t[/tex]
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
This is t when [tex]S(t) = 0.2[/tex]. So
[tex]S(t) = 42(0.9995)^t[/tex]
[tex]0.2 = 42(0.9995)^t[/tex]
[tex](0.9995)^t = \frac{0.2}{42}[/tex]
[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]
[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]
[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]
[tex]t = 10692[/tex]
It will take 10,692 years.
. Resolver la siguiente inecuación, utilizar la notación de intervalos y representar el conjunto
solución en la recta real:
3x-1 + x+7 < 2x+5 + 7
5 2 3
Answer:
bat di mo masagotan bobo kaba ikaw somagot nyan kasi dapat nagaaral kanangmabuti hayop ka wag kang mag patolong
whats 1+1?
please do answer!
Answer:
I thought it was 3, no wait its 2
Step-by-step explanation:
You are thinking of the Principia Mathematica, written by Alfred North Whitehead and Bertrand Russell. Here is a relevant excerpt:
Picture Below
As you can see, it ends with "From this proposition it will follow, when arithmetical addition has been defined, that 1+1=2." The theorem above, ∗54⋅43, is already a couple of hundred pages into the book (Wikipedia says 370 or so); the later theorem alluded to, that 1+1=2, appears in section ∗102, considerably farther on.
I wrote a blog article a few years ago that discusses this in some detail. You may want to skip the stuff at the beginning about the historical context of Principia Mathematica. But the main point of the article is to explain the theorem above.
The article explains the idiosyncratic and mostly obsolete notation that Principia Mathematica uses, and how the proof works. The theorem here is essentially that if α and β are disjoint sets with exactly one element each, then their union has exactly two elements. This is established based on very slightly simpler theorems, for example that if α is the set that contains x and nothing else, and β is the set that contains y and nothing else, then α∪β contains two elements if and only if x≠y.
The main reason that it takes so long to get to 1+1=2 is that Principia Mathematica starts from almost nothing, and works its way up in very tiny, incremental steps. The work of G. Peano shows that it's not hard to produce a useful set of axioms that can prove 1+1=2 much more easily than Whitehead and Russell do.
What is the volume of this rectangular prism?
cm
3
cm
5
cm
3
cm
Answer:
2cm³
Step-by-step explanation:
Find the length of the missing side. Round answers to the nearest tenth it
necessary. *
8
8
2 f(x)=x2 + 2x cómo se evalúa?
a) f(3)
b) f(-1)
c) f(x-3)
Answer:
b) f (-1) ese es el resultado
absolute value of x=5
what is x
Answer:
5
Step-by-step explanation:
5 = 5
1/2(m - 3) = 1/4(m - 7)
I
Solve
What is 5% of 345? ......
Answer:
17.25
Step-by-step explanation:
5/100 x 345 = 1725/100 = 17.25
Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5
It’s not 3,4,5 apparently..
Step-by-step explanation:
4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36
Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation,
-1.79, 2 1/4, 2.54,-4
HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6
Answer:
E)
Step-by-step explanation:
1 - (69,000 / 42,000) = .64285 * 100% = 64.3%
10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4
Answer:
A, x=5
Step-by-step explanation:
By simplifying the inequality we get:
The only answer that is greater than 4 is A.
Answer:
yes
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
I need more info to answer this question.
Step-by-step explanation:
What is the probability that the red die shows a six or the green die shows a six?
Answer:
[tex]\frac{11}{36}[/tex]
Step-by-step explanation:
= 1/6 + 1/6 - 1/6^2
HELP MEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSS I BEG I BEG
Answer:
A. There are 8 seventh grade students
B. There are 14 total questions on the test
Step-by-step explanation: