One-fifth of an even number added to one-sixth of the next even number makes a total of 15. find the two numbers
(Hint: let the number be x and x + 2.)
Answer:
40 and 42
Step-by-step explanation:
Let the two even numbers be x and x+2.
"One-fifth of an even number:" (1/5)x
"one-sixth of the next even number:" (1/6)(x+2)
Added they make 15: (1/5)x + ((1/6)(x+2)) = 15
(1/5)x + ((1/6)(x+2)) = 15
(1/5)x + (1/6)x+(1/6)*2 = 15
(1/5)x + (1/6)x+(2/6) = 15
(6/30)x + (5/30)x = 15 - (1/3)
(11/30)x = (45/3) - (1/3)
(11/30)x = (44/3)
x = (30/11)*(44/3)
x = 40
x + 2 = 42
====
Check:
Does
(1/5)(40) + (1/6)(42) = 15?
8 + 7 = 15 YES
The two even numbers are 40 and 42
please help asappppppp
Answer:
If we classify the shapes shown in the picture, we can see that there are 4 triangles and one square.
First, we need to find out the formulas for the areas of these shapes.
Formula for area of triangle;
A = BH x 1/2
where b represents the base, and h represents the height
Formula for area of square;
A = a^2
where 'a' represents the length of one side of a square
Now we just plug in the actual values to these formulas:-
(Finding area of square first)
A = a^2
A = 2^2
A = 4
Now, we find the area of one triangle and multiply it by 4 because there are four of each of those triangles.
A = BH x 1/2 x 4(no. of triangles)
A = 2(3) x 1/2 x 4
A = 6 x 1/2 x 4
A = 6/2 x 4
A = 3 x 4
A = 12
Now we add the two areas together;
4 + 12 = 16 square feet
To find the value of 6 divided by 2/3 Elena began by drawing her diagram in the same way she did 6 divided by 1/3. Use her diagram to find out how many 2/3 are in 6 adjust and label the diagram as needed
Solve for X
I need help ASAP please
Answer:
study bruh
Step-by-step explanation:
pizza cost $8 each. Using p for the number of pizzas, and c for the cost.
Answer:
c=px8
Step-by-step explanation:
Wyatt bought 5.73 ounces of chocolate. 0.01 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Wyatt buy?
Answer:
5.72?
Step-by-step explanation:
5.73-0.01=5.72
Answer:
5.72 ounces
Step-by-step explanation:
It is very simple.
Subtract the 0.01 ounces of milk chocolate from the total amount of chocolate
5.73 - 0.01 = 5.72
Wyatt bought 5.72 ounces of dark chocolate.
Hope I helped :)
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Find the value of x so that the line that passes through the points A(5,x) and B(2,-3) has a slope of 5/3
Answer:
Find the equation of the straight line that has slope m = 4 and passes through the point (–1, ... In the slope-intercept form of a straight line, I have y, m, x, and b. ... ...so y = ( – 2/3 ) x + 8/3
Complete the recursive formula of the geometric sequence −0.3,0.9,−2.7,8.1,...
Answer:
a n= - 3a_{n-1}a n−1 with a₁ = - 0.3
Step-by-step explanation:
The recursive formula for a geometric sequence is of the form
a_{n}a
n = ra_{n-1}a
n−1
where r is the common ratio
r = \frac{a_{2} }{a_{1} }
a
1
a
2
= \frac{0.9}{-0.3}
−0.3
0.9
= - 3 , thus
a_{n}a
n
= - 3a_{n-1}a
n−1
with a₁ = - 0.3
bill and jill were asked to simplify √ 72 bill got an answer of 3√ 8 and jill got an answer of 6√ 2 who is correct explain below why they are correct and/or why the other person is incorrect
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
When simplifying surds you need to find a square number that the number is divisible by. In this case root(72) would be divisible by root(36).
This would then turn into [tex]6\sqrt{2}[/tex]. (72 divided 36 is 2 and root(36) is 6)
Part A. Find the domain and range
Part B. Which set of coordinates describes a function?
A.{( 6,3), (4,5), (2,3), (0,5)}
B.{( 4,-3),(-4,-6),(4,3),(-4,6)}
C.{(2,4), (4,8), (6,2)}
D.{(-5,-1), (-3, -3), (-1, -5),(-5,-7)}
Answer:
d. {(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}; Domain: {-2, -1, 0, 1, 2}; Range: {1, 2, 5}
Step-by-step explanation:
Part A:
Domain = the set of all x-values plotted on the x-axis = {-2, -1, 0, 1, 2}
Range = the set of all possible y-values on the y-axis that corresponds with the x-values = {1, 2, 5}
Part B:
The set of coordinates that describes the function on the graph are:
When x = -2, y = 5 => (-2, 5)
When x = -1, y = 2 => (-1, 2)
When x = 0, y = 1 => (0, 1)
When x = 1, y = 2 => (1, 2)
When x = 2, y = 5 => (2, 5)
The set of coordinates is:
{(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}
What is another name for k in algebra
what's 9 + 10
pls prove everyone wrong by 21
Answer:
1+1+0+1+1+1+1+1+1+1+0+1+1+1+1+1+1+1+0+1+1+1=19
-15+3y=9 solve for y
Answer:
y=8
Step-by-step explanation:
Answer:
Y = 8
Step-by-step explanation:
To solve this equation, you must isolate the variable (y).
To do this, let's add 15 to both sides.
-15+3y = 9
+15 +15
3y = 24
Then, we need to divide each side by 3, in order to get y alone.
y = 8
supposed normal distribution has a mean of 89 and a standard deviation of 7. What is P(x≤82)? NO LINKS!!!
a. 0.975
b. 0.84
c. 0.16
d. 0.025
======================================================
Explanation:
Convert the x = 82 to a corresponding z score.
z = (x-mu)/sigma
z = (82 - 89)/7
z = -7/7
z = -1
Using the empirical rule (see chart below), roughly 68% of the distribution is within 1 standard deviation of the mean.
This leaves 1 - 0.68 = 0.32 = 32% of the distribution in both tails, and (32%)/2 = 16% of the area is in one tail, which converts to 0.16
About 16% of the normally distributed population is below z = -1.
So we can say [tex]P(x \le 82) = P(z \le -1) \approx 0.16[/tex]
z value:-
[tex]\\ \rm\Rrightarrow \dfrac{x-\overline{x}}{\sum}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{82-89}{7}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-7}{7}[/tex]
[tex]\\ \rm\Rrightarrow -1[/tex]
z=-1As per z value chart
Part distributed to z=-1 is 32%/2=16%=0.16Option C is correct
4.0 divided into 2.32
Answer:
1.72
Step-by-step explanation:
Answer:
Today: Monday, 12 October 2020
Hour: 21.55 WIB (in Indonesian)
_______________________
4,0 ÷ 2.32 = 1,724
12.42 x 28.6 gbrbgrbfgbvfvffvfgfgfgfgfggfg
Answer:
Step-by-step explanation:
355 53/250 = 355.212
Please help me solve this, I will give you brainliest
Answer: 25
spongbob said so
Solve for x. Round your answer to the nearest tenth.
Answer:
14.7
Step-by-step explanation:
x = 22 * sin(42) = 14.7
A major grocery store chain is trying to cut down on waste. Currently, they get peaches from two different distributors, WholeFruits and GreenGrocer. Out of two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. She then makes a confidence interval. Is there a significant difference in the quality of the peaches between the two distributors
There is a significant difference in the quality of the peaches between the two distributors because:
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.What does confidence interval of 95% mean?A confidence interval is a term that connote an estimate (plus or minus) the variation that may be seen in that specific estimate.
A 95% confidence interval implies that if a person do a research such as (two different distributors, e.g. WholeFruits and GreenGroce) and took 100 different samples and then compute a 95% confidence interval for each sample, it therefore means that about 95 of the 100 confidence intervals will hold the true mean value (μ).
See options below
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 LOWER than the proportion of non sell-able items for Green Grocer.
We are 95% confident that the proportion of non sell-able peaches for Whole Fruits is about -0.064 and 0.156.
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.156 LOWER and 0.064 HIGHER than the proportion of non sell-able items for Green Grocer.
We are 95% confident that the proportion of non sell-able peaches from Whole Fruits is anywhere between 0.064 and 0.156.
We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.
Learn more about confidence interval from
https://brainly.com/question/15712887
A snail moves through a garden and travels 1 1/8 meters in 1 1/2 min.What is the snails rate in min per meters
Answer:
im guessing 11/6 but dont say that answer if nobody else agreed
Step-by-step explanation:
Answer: The answer is 4/3 or 0.75
what are the side lengths of the scaled copy of a rectangle that is 2 inches by 3 inches?
Answer: 6
Step-by-step explanation:ye
True or False.
Does the following set of ordered pairs represent a function?
(3,5), (-2,3), (4,6), (2,3), (1,8)
camper attaches a rope to the top of her tent to give it more support. She stakes the rope, which is 8 ft long, to the ground at a distance of 6 feet from the middle of her tent. About how tall is her tent?
Answer: 5.3 feet
Step-by-step explanation:
Classify the triangle by its angles.
Answer:
C
Step-by-step explanation:
right angled triangle because it has clearly shown the sign of 90 degree
specify the multiplicity of the zeros
Please help me ASAP
( I will mark brainliest )
Answer:
A. (−2c − 3d)(−11)
C. [tex](66c+99d)*\frac{1}{3}[/tex]
E. 11(2c + 3d)
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[A] (−2c − 3d)(−11)
[C] (66c+99d)*1/3
[E] 11(2c + 3d)
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Step-by-step explanation:
To find the answer - Solve each answer choice:
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[A] (-2c-3d)(-11)
Re-order terms so constants are on the left
-11(-2c-3d)
Distribute
22c + 33d
Hence, [A] is True.
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[B] [tex]2(11c-[/tex] [tex]\frac{33}{2}d)[/tex]
Combine multiplied terms into a single fraction
Find common denominator
[tex]2(\frac{2*11c}{2}+\frac{-33d}{2})[/tex]
Multiply the numbers
[tex]2(\frac{22c-33d}{2})[/tex]
Cancel multiplied terms that are in the denominator
22c - 33d
Hence, [B] is false
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[C] [tex](66c+99d)*\frac{1}{3}[/tex]
[tex]Apply\;Rule:a*1=a[/tex]
[tex]\frac{66c+99d}{3}[/tex]
[tex]Factor\;66c+99d:33(2c+3d)[/tex]
[tex]=\frac{33\left(2c+3d\right)}{3}[/tex]
[tex]Divide\;the\;numbers:\frac{33}{3}=11[/tex]
[tex]=11(2c+3d)[/tex]
[tex]Expand;[/tex]
22c+33d
Hence, [c] is True
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[D] -1*(-22-33d)
[tex]Apply \;rule:a*1=a[/tex]
= (22+33d)
Hence, [D] is False
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[E] 11 * (2c+3d)
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]11\left(2c+3d\right)=11\cdot \:2c+11\cdot \:3d[/tex]
[tex]=11\cdot \:2c+11\cdot \:3d[/tex]
[tex]Simplify \;=11\cdot \:2c+11\cdot \:3d:22c+33d[/tex]
22c + 33d
Hence, [E] is True
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
~[RevyBreeze]
1 + 1 in standard form
Answer:
1+1 is standard
Answer:
It is
[tex]2 \times {10}^{0} [/tex]
Step-by-step explanation:
1+1=2 and the equation above represents 2.
I f you like my answer you can mark it as Brainliest.
Thanks!
Isaac is multiplying 4 X 3/4
Answer: 3
Step-by-step explanation:
can somebody explain how to do this
don't give me an answer
Answer:
270°
Step-by-step explanation:
a reflex angle is an angle which is larger than 180° but smaller than 360°
an angle around a point is 360°
so to find angle B we do [tex]360-90[/tex] to give 270
so angle B is 270°
If DF = 84 and EF = 29. what is DE?