Answer: x = 0; x = 3
Step-by-step explanation:
x^2 - 3x = 0
1. x is a common factor, so factor it out
x(x - 3) = 0
2. set both factors equal to zero
x = 0
x - 3 = 0
3. final answer
x = 0
x = 3
Kelly buys 4 7··8 pounds of apples and 2 3··8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work
Answer:
7 1/4 pounds
[tex]4\frac{7}{8} + 2\frac{3}{8}[/tex]
[tex]6\frac{7 + 3}{8}[/tex]
= [tex]6\frac{10}{8}[/tex]
convert the improper fraction to a mixed fraction
10/8 = 1 2/8 = 1 1/4
Add the 1 1/4 to 6 = 7 1/4
Step-by-step explanation:
Kelly buys 4 7/8 pounds of apples and 2 3/8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?
A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00
please help 20 points
Mike forgot to have someone water his plants while he was on vacation. The
plant was originally 30 inches tall. When he came back, part of the plant was
dead, so he had to cut off the top. Now it is only 24 inches tall. By what
percent did the plant's height decrease?
Answer:
6 percent?
Step-by-step explanation:
.
Why is the median better to represent the data of a stem and leaf plot? I NEED THE ANSWER NOW PLSSSS
Answer:
The median value is better because it is not affected by the skewness of the data
Step-by-step explanation:
The median is better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example: for a downward skewed stem and leaf plot the value of the median is greater than the mean value
Hence the median value is a better representation of the central tendency
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B) 3:24
D) 5:40
E) 7:56
Step-by-step explanation:
3x8= 24
3:24= 1:8
5x8= 40
5:40= 1:8
7x8= 56
7:56= 1:8
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given:
In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G is 110 degrees.
To find:
The measure of angle FEG.
Solution:
Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.
Using extrior angle theorem in triangle EFG, we get
[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]
[tex]5x+6x=110^\circ[/tex]
[tex]11x=110^\circ[/tex]
[tex]x=\dfrac{110^\circ}{11}[/tex]
[tex]x=10^\circ[/tex]
Now,
[tex]m\angle FEG=5x[/tex]
[tex]m\angle EFG=5(10^\circ)[/tex]
[tex]m\angle EFG=50^\circ[/tex]
Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.
1) Matthew can run of a mile in of an hour. What is the unit rate?
What is the 4th equivalent fraction to 1/2?
Step-by-step explanation:
For example, 2/4 and 3/6 both are equal to ½.
...
Equivalent Fractions Chart.
Unit Fraction Equivalent Fractions
1/2 2/4, 3/6, 4/8..
1/3 2/6, 3/9, 4/12..
1/4 2/8, 3/12, 4/16..
1/5 2/10, 3/15, 4/20,
Answer:
500/1000
Step-by-step explanation:
if you happen to simplify you will get 1/2. hope it helps.good day
One airplane is approaching an airport from the north at 164 km/hr. A second airplane approaches from the east at 271 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 17 km from the airport.
Answer:
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Step-by-step explanation:
The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:
[tex]r^{2} = x^{2}+y^{2}[/tex] (1)
Where:
[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.
[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.
By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:
[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
Where:
[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.
[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.
If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\dot r \approx -316.760\,km[/tex]
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance
Answer:
The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
Step-by-step explanation:
From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines
Let 'A' represent one of the airlines and let 'B' represent the other airline
In the statistics hypothesis test we have;
The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes
The standard deviation to access airline A's website, s₁ = 0.8 minutes
The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes
The standard deviation to access airline B's website, s₂ = 1.1 minutes
The t-test is given as follows;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;
[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]
Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.
Mary typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if she took the shortcut shown below PLSSSS HELPPPP
What is 20.0384 rounded to the nearest hundredth?
Answer:
20.04
Step-by-step explanation:
Answer:
20.04
Step-by-step explanation:
The three is in the hundredths place:
find your place (3)
look next door (8)
5 or greater add one more so 4
If m2 BOE = 130° and m2 COB = 80°, find the measure of the indicated arc in circle o. D С E B mCBE = [ ? 1°
HELP ME NO ANSWER RANDOM STUFF FOR POINT WILL GET REPORTED
Answer: 210
Step-by-step explanation:
Permutations acellus How many ways can 4 books be arranged on a shelf if there are 8 books to chose from? Note: nPr = n! —— (n-r)!
Answer:
1680 ways
Step-by-step explanation:
From the question,
nPr = n!/(n-r)!.................. Equation 1
Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.
Given: n = 8 books, r = 4 books.
Substitute into equation 1
8P4 = 8!/(8-4)!
8P4 = 8!/4!
8P4 = (8×7×6×5×4!)/4!
8P4 = 1680 ways.
Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways
what can i add to 1,663,134 to make 2,148,431
Answer:
485297
Step-by-step explanation:
can somebody help me with this ty!!
Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4
cups of blueberries, how many smoothies can she make?
plz help quick
Answer:
10 smoothies
Step-by-step explanation:
because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.
Find the value of v (velocity) and V (volume) from the following equations.
a) v = u + at
Where u = 40, a = - 6, t = 4
( PLEASE HELP FAST)
Answer:
16m/s
Step-by-step explanation:
Given data
u = 40,
a = - 6,
t = 4
Let us substitute into the given expresssion to find v
v = u + at
v = 40+ -6*4
v= 40+ (-24)
v= 40-24
v= 16m/s
Find X.
Someone please help me lol !
Answer:
x = 9
Step-by-step explanation:
Formula
The secant and tangent lines bear the following relationship
(tangent line )^2 = the outside secant line * length of the whole line
Givens
tangent line = 15
outside secant line = x
length of whole secant line = x + 16
Solution
15^2 = x ( x + 16)
15^2 = x^2 + 16x
225 = x^2 + 16x
x^2 + 16x - 225 = 0
Answer and Discussion
The equation has two factors.
(x - 9)(x + 25) =0
x + 25 has no meaning. There cannot be a negative length in this level of geometry.
The answer is x - 9 = 0
x = 9
Alex has six candy bars he wants to cut into fifths. How many 1/5 size pieces will he have
Answer:
30 pieces.
Step-by-step explanation:
According to the word problem, Alex wants to cut all six of his candy bars into fifths.
5/5 = one whole candy bar.
If there will 5 pieces for every candy bar, we can multiply 5 by 6.
5 x 6 = 30.
There will be 30 of the 1/5 size pieces.
A store purchased model railroad sets for 400 and sold them for 444 what percentage is the mark-up
Answer:
9.91%
Step-by-step explanation:
cost price= 400
selling price=444
profit made= 444-400
= 44
profit percentage= 44/444 ×100
=9.91%
1.55y-(5y-17)/100=0.02
1. A triangle has two angles that measure 52 degrees and 31 degrees.
What is the measurement of the third angle?
Answer:
86 degrees
Step-by-step explanation:
Interior degrees of a triangle always add up to 180 degrees
What you would do is add the first two (52+31 = 84)
Subtract this number from 180 to get your remaining degrees
86 degrees
A.5,8 and 4,5
B.5,8 and 4,3
C. 4,5 and 4,3
Answer: I think it's D.
What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
PLEASE ANSWER QUICKLY.
I WILL GIVE THE BRAINLIEST ASAP.
Answer:
options (c) is right answer
Answer: B
Step-by-step explanation:
What is the area of
28
105
38.5
49
Answer:
105
Step-by-step explanation:
11×14= 154
7×7= 49
154-49= 105
Answer:
105 is ur answer!
you're welcome lol
Mary is applying for a credit card. Which of the following will not determine if she has a high credit limit or not.
A. Credit score
B. Payment history
C. Salary
D. Age
What is the approximate area of the circle shown below?
O A. 49 cm2
O B. 191 cm2
O C. 96 cm2
O D. 24.5 cm
Answer:
B. 191 cm2
Step-by-step explanation:
have a nice day!!! :)
The area of the Circle is 191.03 cm².
Option B is correct.
What is Area of Circle?Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.
The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.
The area of a circle is calculated as A = πr², where r is the radius of the circle.
Given:
r = radius = 7.8cm
π = 3.14
So, area of Circle
= πr²
Now, substitute the values we get
= 3.14 x 7.8 x 7.8
= 3.14 x 60.84
= 191.03 cm²
Thus, the Area of Circle is 191.03 cm².
Learn more about Area of Circle here:
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