Answer:
60 2/5 x 5 = 60 x 5 + 2/5 x 5
60 x 5 = 300
2/5 x 5 = 2
300 + 2 = 302 so 302 is the answer
302 km for 5 hours
Step-by-step explanation:
Step-by-step explanation:
Km in 1 hour = 60 2/5 = 60.4km
Km in 5 hours = 60.4 x 5 = 302km
Need help ASAP thankyou sorry if u can’t see the picture but u can zoom in :)
Answer:
a)Volume 390ft3. Surface area 450ft2
b)surface area
c)volume
Step-by-step explanation:
2*15*13=390
2*15*2=60+15*13*2=390
In a recent study, volunteers who had 8 hours of sleep were three times more likely to correctly on a math test than were sleep-deprived participants.
1) Identify the sample used in the study.
A) The sample is the math questions in the study.
B) The sample is the responses of the volunteers in the study.
C) The sample is the amount of sleep the volunteers got in the study.
D) The sample is the sleep-deprived participants in the study.
2) What is the sample's population?
A) The population is the collection of all the math questions from the math test.
B) The population is the collection of the responses of all individuals who completed the math test.
C) The population is the collection of all the individuals who completed the math test.
3) Which part of the study represents the descriptive branch of statistics?
1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study
2) What is the sample's population: B) The population is collected of the response of all individuals who completed the math test
3) Which part of the study represents the descriptive branch of statistics:
individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.
hope i helpd
-lvr
TIME LIMIT
What is the measure of angle B in degrees?
Answer:
B∠119°
Step-by-step explanation:
Well first we need c.
And c + 112 = 180
So -112 is c = 68
68 + 51 + a = 180
68+51 = 119 + a = 180
a = 61
b + 61 = 180
b = 119
On August 8, 1981, American Savings offered an insured tax-free account paying 23.24% compounded monthly. If you had invested $90,000 at that time, how much would you have on August 8, 2014, assuming that you could have locked the interest rate at the time of deposit? Someone please help me!!
Answer:
$181,432,754
Step-by-step explanation:
We use the formula for compound interest here, to determine the amount
Mathematically, that would be;
A =I (1 + r/n)^nt
where A is the amount which we want to calculate
I is the initial amount which is $90,000
r is the rate = 23.24% = 23.24/100 = 0.2324
n is the number of times per year the interest is compounded = 12 (compounded monthly)
t is the number of years = 2014 - 1981 = 33
Substituting these values, we have;
A = 90,000(1 + 0.2324/12)^(33 * 12)
A = 90,000(1 + 0.0194)^396
A = 90,000(1.0194)^396
A = 181,432,754.27210504
Which is approximately $181,432,754 to the nearest whole dollars
Select the correct answer.
What is the solution for x in the equation?
25
-- + = 22
-
O A.
T =
-
1+
OB.
=
+10 +
OC.
+
OD.
=
Answer:
x = 4/3
Step-by-step explanation:
move (combine) your X's on one side
combine like terms
divide and multiply
Answer:
[tex]x = \frac{4}{3} [/tex]Option B is the correct option.
Step-by-step explanation:
[tex] - x + \frac{3}{7} = 2x - \frac{25}{7} [/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex] - x - 2x = - \frac{25}{7} - \frac{3}{7} [/tex]
Collect like terms
[tex] - 3x = - \frac{25}{7} - \frac{3}{7} [/tex]
Calculate the difference
[tex] - 3x = - 4[/tex]
Divide both sides of the equation by -3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 4}{ - 3} [/tex]
Calculate
[tex]x = \frac{4}{3} [/tex]
Hope this helps..
Best regards!
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 Let S represent the number of stacks of pancakes that Benjamin buys.
Answer:
is the correct answer.
Step-by-step explanation:
As per the question statement:
Cost of Chocolate milk which is ordered already = $3.25.
Benjamin want his bill to be at most = $30
Each stack of pancakes contains 4 pancakes.
Each stack of pancake costs= $5.50
Given that S represents the number of stacks of pancakes bought.
We have, Cost of 1 pancake = $5.50
Now, let us calculate the cost of the number of stacks of pancakes bought.
[tex]\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}[/tex]
i.e.
[tex]5.50S[/tex]
So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = [tex]\$3.25+5.50S[/tex]
Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.
So, the inequality can be written as:
[tex]\bold{3.25+5.50S \le 30}[/tex]
Please refer to https://brainly.com/question/17138529 as well.
3.25+5.50S < (with line under it) 30
To add on to what isyllus said...
3.25+5.50S < (with line under it) 30 is the equation
16 pancakes is the amount.
:) hope this helps!
Find the surface area and volume of a rectangular prism with the following dimensions: Length = 4 cm, Width = 9 cm, Height = 2 cm
Answer:
the surface area is 124
the volume is 72
Step-by-step explanation:
Hi there! :)
Answer:
SA = 124 cm².
V = 72 cm³
Step-by-step explanation:
Volume of a rectangular prism: V = l × w × h
Given:
l = 4 cm
w = 9 cm
h = 2 cm
V = 4 × 9 × 2
V = 36 × 2
V = 72 cm³
Surface area: SA = 2(wl + hl + hw)
SA = 2((4 · 9) + (2 · 4) + (9 · 2))
SA = 2(36 + 8 + 18)
SA = 2(62)
SA = 124 cm².
Hope this helped you!
Solve 2(3x+6)=3(x-9) 2p-3=3p+2 2(3x-1)-7(5x+4)=9(2x-3)
Answer:
Step-by-step explanation:
1. 6x + 12 = 3x - 27
3x + 12 = -27
3x = -39
x = -13
2. 2p - 3 = 3p + 2
-p - 3 = 2
-p = 5
p = -5
3. 6x - 2 - 35x -28 = 18x - 27
-29x - 30 = 18x - 27
-47x - 30 = -27
-47x = 3
x = -3/47
Find the equation of the line: With a slope of − 1 2 through (4, 5)
Answer:
y = -1/2x+7
Step-by-step explanation:
We have a slope of -1/2 and a point of (4,5)
Using the slope intercept form of a line
y = mx+b
y = -1/2 x +b
Substituting the point into the equation
5 = -1/2(4) +b
5 = -2+b
Add 2 to each side
5+2 = -2+2+b
7 = b
The equation of the line is
y = -1/2x+7
Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and maximum possible number of terms for the product of these trinomials: (x2 + x + 2)(x2 – 2x + 3). Explain how you arrived at your answer.
Answer: Degree of polynomial (highest degree) =4
Maximum possible terms =9
Number of terms in the product = 5
Step-by-step explanation:
A trinomial is a polynomial with 3 terms.
The given product of trinomial: [tex](x^2 + x + 2)(x^2 - 2x + 3)[/tex]
By using distributive property: a(b+c+d)= ab+ac+ad
[tex](x^2 + x + 2)(x^2 - 2x + 3)=(x^2 + x + 2) x^2+(x^2 + x + 2) (-2x)+(x^2 + x + 2)(3)\\\\=x^2(x^2)+x(x^2)+2(x^2)+x^2 (-2x)+x (-2x)+2 (-2x)+x^2 (3)+x (3)+2 (3)\\\\\\=x^4+x^3+2x^2-2x^3-2x^2-4x+3x^2+3x+6[/tex]
Maximum possible terms =9
Combine like terms
[tex]x^4+x^3-2x^3+3x^2-4x+3x+6\\\\=x^4-x^3+3x^2-x+6[/tex]
Hence, [tex]\left(x^2\:+\:x\:+\:2\right)\left(x^2\:-\:2x\:+\:3\right)=x^4-x^3+3x^2-x+6[/tex]
Degree of polynomial (highest degree) =4
Number of terms = 5
Answer:
Sample Response: To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2 by x2, you add the exponents to get x4. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.
The degree of the product of the trinomials is 4 because the degree of each trinomial is 2.
The maximum number of terms in the product of the trinomials is 5.
There can be an x4 term, an x3 term, an x2 term, an x term, and a constant term.
Explanation:
This is the response on Edge 2020-21. Hope this helps, have a great day!
In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.
Answer:
The answer is:
[tex]\bold{c\approx 20.2\ units}[/tex]
Step-by-step explanation:
Given:
In △ABC:
m∠A=15°
a=10 and
b=11
To find:
c = ?
Solution:
We can use cosine rule here to find the value of third side c.
Formula for cosine rule:
[tex]cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex]
b is the side opposite to [tex]\angle B[/tex]
c is the side opposite to [tex]\angle C[/tex]
Putting all the values.
[tex]cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units[/tex]
The answer is:
[tex]\bold{c\approx 20.2\ units}[/tex]
In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.
Tell whether each statement is True or False.
a. True.
b. False.
c. True.
d. True.
e. True.
Step-by-step explanation:a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.
b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.
c. This statement is true because angles 5 and 1 correspond to each other.
d. This statement is true because angles 7 and 8 form a straight line.
e. This statement is true because they are interior angles that are alternate.
Hope this helps!What type of triangle has side lengths 9, 10and 130‾‾‾‾√
Answer:
Step-by-step explanation:
Triangle is an example of a polygon with three sides. The types of triangle we have are the equilateral, isosceles, scalene and right angled triangle.
An equilateral triangle is a triangle that has all its 3 sides and angles equal.
An isosceles triangle is a triangle that has two of its sides and angles equal.
A scalene triangle is a triangle that has none of its sides and angles to be equal.
According to the question, we are given a triangle of lengths 9, 10 and 130. It is seen that all the length of each sides of the triangle is different, this makes it a scalene triangle.
Prove that. 1-sin2A=2sin^2(45-A)
Answer:
Proved
Step-by-step explanation:
2 sin square( 45°-A)
(therefore;
by trigonometry ratios
sin45°=1)
=2sin2(1-A)
=2sin(1-A)
=1+sin2A
hence proved
I HOPE THIS WILL HELP YOU
If yes mark me brainliest and follow me..
Tysm
The sum of two negative integers is always
Answer:
The sum of two negative integers is always negative.
Step-by-step explanation:
For example, add -1+-1 which =-2, which are the smallest neggative numbers possible.-100+-100=-200, and -4+-4=-8, so you see that the sum of two negative integers should always be negative.
Two Negative integers that equal the product of 146
Answer:
-2 and -73
Step-by-step explanation:
simply divide 146 by any negative integer that can divide it fully
HINT:IT ENDS IN 6 SO TRY MULTIPLES AND FACTORS OF 6
and lastly don't forget that negative times negative equals positive
Which of the following is a polynomial?
O A. x2 + 2
OB.
(x - 2)
(x+2+3)
O c. 1-1
x
O D. 7x7 - 2x-4 + 3
Answer: B
Step-by-step explanation:
When B is simplified, it becomes x^2-3x-10. This is a polynomial because it has more than two terms(3).
Hope it helps <3
The solution is: the following is a polynomial, A. 4x^2+9x+12 & C. 15x^4
Option A and C are correct.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
Here, we have,
we know that,
A polynomial is defined as an algebraic expression that consists of variables and constants involving operations of addition, subtraction, multiplication and non-negative exponents.
A. 4x^2+9x+12 is a polynomial
B. 3-√2x is not a polynomial
C. 15x^4 is a polynomial
D. 6x^2+2/x is not a polynomial
So, Option A and C are correct.
Hence, The solution is: the following is a polynomial, A. 4x^2+9x+12 &
C. 15x^4 , Option A and C are correct.
Know more about Polynomials here:
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V
The
to prove A
triangle congruency theorem can be used
2 AONP.
M
N
o
Р
Answer:
The SAS(Side-Angle-Side) triangle congruency theorem can be used to prove Triangle MNL is congruent to ONP.
Step-by-step explanation:
We would use the side-angle-side theorem because the two triangles both have two equal sides and one angle. For instance, side MN has two lines and so does side ON has two lines. Same goes with sides NL and NP.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
See below
Step-by-step explanation:
The SAS triangle congruency theorem can be used to prove ΔMNL ≅ ΔONP.
The SAS (Side-Angle-Side) postulate will be used because two sides and one angle are congruent.
They are the following:
=> NM ≅ NO (Given)
=> NP ≅ NL (Given)
=> ∠LNM ≅ ∠PNO (Vertical Angles)
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)
Answer:
25Step-by-step explanation:
Total cookies = 12
Ate = 3 cookies
Now,
Percentage of the cookies that James are:
[tex] \frac{3}{12} \times 100 \: percent[/tex]
Calculate:
[tex] = 25 \: percent[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
answer is 25
Step-by-step explanation:
Find the perimeter of the shaded figure. Please help,thanks!
Answer:
I believe its 40
Step-by-step explanation:
Answer:
Hey there!
The perimeter can be expressed as 10+7+2+2+6+2+2+7, or 38.
Hope this helps :)
Which equation represents the line that passes through (-8,11) and
0 v= - 3 5x + 6
Oy=-x+16
Ov=-X-49
Oy - 11x +71
Answer:
Step-by-step explanation:
Hello,
the line passes through (-8,11) means than y = 11 for x = -8
I believe that you wanted to write the first one as below
[tex]y=-\dfrac{5}{8}x+6[/tex]
in that case for x = -8
y = - 5 * - 1 + 6 = 5 + 6 = 11
hope this helps
The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (7/2 -11)/(4--8)
= (7/2 - 22/2)/(4+8)
= (-15/2)/(12)
= -15/24
Divide top and bottom by 3
-5/8
Then we can use point slope form to write the equation
y-y1 = m (x-x1)
y- 11 =-5/8(x--8)
y- 11 =-5/8(x+8)
Distribute
y-11 =-5/8 x -5
Add 11 to each side
y-11 = -5/8x -5+11
y = -5/8x +6
Hence, The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).
To learn more on Equation 0f Straight-Line click:
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Plzzzz Help
In Main City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown. Choose True or False for each statement
a. true
b. false ( angles should equal 180 125+65=190)
c. true
d. true
e. true
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
a. True (vertically opposite angles are equal)
b. False (angles on a straight line add up to 180 degrees)
c. True (corresponding angles are equal)
d. True (supplementary angles are angles that add up to 180 degrees)
e. True (alternating interior angles are equal)
A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute?
Complete Question
The complete question is shown on the first uploaded image
Answer:
Yes the students are reasonably good at estimating one minute
a
Option A is correct
b
The test statistics is [tex]t = 0.354[/tex]
Step-by-step explanation:
From the question we are told that
The set of data is
68, 82 , 38 , 62 , 41, 25 , 57 , 64, 67, 47, 61, 71, 91, 87, 64
The population mean is [tex]\mu = 60[/tex]
The level of significance is given as[tex]\alpha = 0.01[/tex]
The critical value for this level of significance obtained from the normal distribution table is
[tex]Z_{\alpha } = 2.33[/tex]
The null hypothesis is
[tex]H_o : \mu = 60 \ seconds[/tex]
The alternative hypothesis is
[tex]Ha : \mu \ne 60 \ seconds[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n }[/tex]
where n = 15
So
[tex]\= x = \frac{ 68+ 82 + 38 + 62 + 41+ 25 + 57 + 64+67+ 47+ 61+ 71+ 91+ 87+ 64}{15}[/tex]
[tex]\= x = 61.67[/tex]
The standard deviation is mathematically represented as
[tex]\sigma =\sqrt{ \frac{ \sum (x_i - \= x )^2}{n} }[/tex]
substituting values
[tex]\sigma =\sqrt{ \frac{ \sum (68-61.67)^2 + ( 82-61.67 )^2 + (38 -61.67)^2 + 62-61.67)^2 + (41-61.67)^2 +(25-61.67)^2 +( 57+61.67)^2 }{15} }[/tex] [tex]\sqrt{ \frac{ ( \cdot \cdot + ( 64-61.67)^2 + (67-61.67)^2 +(47-61.67)^2 + (61-61.67)^2+ (71-61.67)^2 + (91 -61.67)^2+( 87-61.67)^2 + (64-61.67)^2}{15} }[/tex]=> [tex]\sigma = 18.23[/tex]
The test statistics is evaluated as
[tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{61.67 -60 }{ \frac{18.23 }{\sqrt{ 15} } }[/tex]
[tex]t = 0.354[/tex]
Now comparing the statistics and the critical value of the level of significance we see that the the test statistics is less than the critical value
Hence the we fail to reject the null hypothesis which mean that these times are from a population with a mean equal to 60 seconds
So we can state that yes the students are reasonably good at estimating one minute given that the sample mean is not far from the population mean
In the lab, Goran has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 10% alcohol. He uses 800 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 30% alcohol solution?
Answer:
400milliliters
Step-by-step explanation:
Let x=ml of 30% solution B used in resulting mixture.
800+x=ml of resulting 30% solution
40%(800)+10%x=30%(800+x)
Then we can simplify the expression
0.4(800)+0.10x= 0.30(800+x)
320+0.10x=240+0.30x
80=0.20x
x= 400milliliters
Therefore, 400milliliters of 10% solution B used in resulting mixture.
Kelly’s first four test grades of the period were 80, 72, 96, and 88. Which inequality represents the grades she can earn on the fifth test to have a test average of no less than 80?
g less-than-or-equal-to 16
g greater-than-or-equal-to 16
g less-than-or-equal-to 64
g greater-than-or-equal-to 64
Answer:
x ≥ 64
Step-by-step explanation:
We want to find the average
Let x be the 5th grade
We want it to be no less than 80
Add up the scores and divide by 5
( 80+ 72+ 96+ 88+x)/5 ≥ 80
Combine like terms
( 336+x) /5 ≥ 80
Multiply each side by 5
336+x ≥ 400
Subtract 336 from each side
x ≥ 400-336
x ≥ 64
Answer:
Its D on edg :P
Three metal cubes with edges 6 cm, 8 cm and 12 cm respectively are melted down and made into a single cube. Find the length of one edge of the resulting cube.
Answer: 13.5
Step-by-step explanation:
Find the total volume of the melted cubes:
V₁ = 6³ V₂ = 8³ V₃ = 12³
= 216 = 512 = 1728
So the new cube will have a volume of 216 + 512 + 1728 = 2456
Volume of the cube = side³
2456 = s³
[tex]\sqrt[3]{2456} = s[/tex]
13.5 = s
I really need help please
Answer:
1. 2.997
2. 29.93
Step-by-step explanation:
1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.
2. Same thing, gotta multiply all given values
how to evaluate cot 3pi/2
Answer:
[tex]\huge\boxed{\cot\dfrac{3\pi}{2}=0}[/tex]
Step-by-step explanation:
[tex]\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.[/tex]
Mr Krishnan earned 2,400 rupees ,he spent 3/8 on food ,1/3 on taxes and 1/6 on other expenses. Find out how much all this in rupees and then find out how much he saved
Step-by-step explanation:
to find his total expenses, add all fraction spent
3/8 + 1/3 + 1/6
= 9+8+ 4/24
= 21/24. = 7/8
total fraction =1
subtract the fraction spent form the total fraction to know the fraction left for savings
1-7/8= 1/8
therefore if. 1 = 2,400
then 1/8=?
if less more divides
1/8 ÷ 1 ×2,400
1/8 × 1/1×2,400
1/8 × 2,400
=300.
therefore the man saved 300 rupees
ASAP!!! Please help me with this question!!!!!
r = radius
h = r+12 = height, 12 more than the radius
[tex]V = \text{Volume of cone (oblique or not)}\\\\V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*r^2*(r+12)\\\\V = \frac{1}{3}\pi*r^2*r+\frac{1}{3}\pi*r^2*12\\\\V = \frac{1}{3}\pi*r^3+\frac{1}{3}*12\pi*r^2\\\\V = \frac{1}{3}\pi r^3+4\pi r^2\\\\[/tex]
Answer: Choice BANSWER: SECOND OPTION