Answer:
Question 1)
Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.
Question 2)
Four hours.
Question 3)
Paige spent two hours biking and six hours walking.
Step-by-step explanation:
Question 1)
Let Cristina's speed be x.
Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).
After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.
Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.
Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:
[tex](6x)-(-6(x+9))=186[/tex]
Distribute:
[tex]6x-(-6x-54)=186[/tex]
Distribute:
[tex]6x+6x+54=186[/tex]
Simplify:
[tex]12x=132[/tex]
Hence:
[tex]x=11[/tex]
Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.
Question 2)
Let h represent the amount of time that has passed in hours.
Carrie left the restaurant traveling 12 miles per hour.
Four hours later, Leah left traveling in the same direction at 24 miles per hour.
After four hours, Carrie would have traveled 12(4) = 48 miles.
Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:
[tex]12h+48[/tex]
Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:
[tex]24h[/tex]
Leah will catch up when the two expressions are equivalent. Hence:
[tex]12h+48=24h[/tex]
Solve for h:
[tex]12h=48\Rightarrow h=4[/tex]
Leah will catch up with Carrie in four hours.
Question 3)
Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.
The total trip to the mall took eight hours. Hence:
[tex]x+y=8[/tex]
The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:
[tex]8x+5y=46[/tex]
Solve the system. We can use elimination. Multiply the first equation by -5:
[tex]-5x-5y=-40[/tex]
We can add this to the second equation:
[tex]3x=6[/tex]
Hence:
[tex]x=2[/tex]
Using the first equation again:
[tex](2)+y=8\Rightarrow y=6[/tex]
So, Paige spent two hours biking and six hours walking.
the area of a 20 cm wide rectangle is 500 cm cm2 what is the length?
Given = b = 20cm, A = 500cm2 l=?
A = l×b,
500= l×20
l= 25
THE LENGTH IS 25 CM
Answer:
25 cm
Step-by-step explanation:
area of a rectangle = length × breadth
500 = length × 20
500/ 20 = length
25 = length
therfore, the length of the rectangle is 25 cm
Of their first 18 games of the season, the
Chicago Cubs lost 4 games and won the
others. What percent of the games have
they won?
The percentage of the games the club has won is P = 77.78 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the total number of games = 18
The number of games they lost = 4
So , the number of games they won = 14 games
Now , the percentage of games they won = ( 14 / 18 ) x 100
On simplifying the equation , we get
A = 0.7778 x 100
A = 77.78 %
Hence , the percentage is 77.78 %
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HELP PLSSSSS!!!!! I WILL Give Brainlyist
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Answer:
[tex] \frac{5}{6} [/tex]Step-by-step explanation:
[tex] \frac{1}{6} + \frac{2}{3} [/tex][tex] \frac{1}{6} + \frac{2}{3} \times \frac{2}{2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{3 \times 2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{6} [/tex][tex] \frac{1 }{6} + \frac{4}{6} [/tex][tex] \frac{1 + 4}{6} [/tex][tex] \frac{5}{6} [/tex]Hope it is helpful...Construct an equation that has y = 8 as its solution. Use y on both sides of the equation.
Answer:
3y + 4 = 20 + y
Step-by-step explanation:
The equation that has y = 8 as its solution will be 3y + 4 = 20 + y.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that Construct an equation that has y = 8 as its solution. The equation of the line will be:-
3y + 4 = 20 + y.
When we solve the equation we will get the value of y equal to 8.
3y + 4 = 20 + y.
3y - y = 20 - 4
2y = 16
y = 16 / 2
y = 8
Therefore, the equation that has y = 8 as its solution will be 3y + 4 = 20 + y.
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I'm so confused, please help!
A family wants to purchase a house that costs $120,000. They plan to take out a $100,000 mortgage on the house and put $20,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $745.86 and with a 30-year mortgage their monthly payment would be $546.01. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
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Answer:
$62,308.80
Step-by-step explanation:
The total amount paid on the 15-year mortgage is ...
($745.86/mo)×(12 mo/yr)×(15 yr) = $132,254.80
The total amount paid on the 30-year mortgage is ...
(546.01/mo)×(12 mo/yr)×(30 yr) = $196,563.60
__
The amount saved by selecting the 15-year mortgage is the difference of these amounts:
$196,563.60 -132,254.80 = $62,308.80
_____
Additional comment
This problem statement has several numbers in it that are irrelevant to the question being asked. This is why you need to read and understand the given information, and also understand the question being asked.
Here, the total cost of the house will include the mortgage cost and the down payment. The down payment is the same in either case, so does not factor in when we subtract one total cost from the other. Any difference in cost is due only to the difference in loan cost.
If X=2 y=3 Find the value of X2+y2
Answer:
Step-by-step explanation:
x^2+y^2
=2^2+3^2
=4+9
=13
if the question is x*2 + y*2
=2*2 + 3*2
=4 + 6
=10
Answer:
answer might be 10
Step-by-step explanation:
(2)2+(3)2
2×2+3×2
4+6
10
hope it helps
BRAINIST AND 10 POINTS
Answer:
I'm not positive but here are my calculations:
A cube is 1 unit per cube. 3+2+1=6 if you do 6x6 you come out with 36.
Hope this helped.
The following table shows a proportional relationship between j and m.
Answer:
[tex]j = \frac{3}{4} m[/tex]
Step-by-step explanation:
[tex]4j = 3m[/tex]
Divide both sides by 4 and you get the answer :)
Which measurement is equivalent to 300 millimeters ?
Answer:
11.811 inches?
7620 millimeters?
Four times a number added to eight is equivalent to the opposite of four
Answer:
let the number be y
Opposite of 4 is -4
4y + 8 = -4
Group liked terms
4y = -4 - 8
4y = -12
y = -3
Step-by-step explanation:
let the number be y
Opposite of 4 is -4
4y + 8 = -4
Group liked terms
4y = -4 - 8
4y = -12
y = -3
What is the correct answer?
6. The price of a necklace is four times that of a
bracelet. Let the price of the bracelet be $x.
(i) Express the price of the necklace in terms of x.
Answer:
The necklace is 4x.
Step-by-step explanation:
If the bracelet is x and the necklace is 4 times greater you would multiply the cost of the bracelet by 4. Meaning it would be X *4= 4x (x multiplied 4 times.)
What is 2/7 divided by 5/4? (No links)
Answer: 5/14
Step-by-step explanation:
Help me I need help plsss
Answer:
B and F
Step-by-step explanation:
Given
Functions A and B
Required
Select the true statements
First, determine the equation of A
We have:
[tex](x_1, y_1) = (1,2)[/tex]
[tex](x_2, y_2) = (3,10)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{10 - 2}{3 - 1}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
So, the equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 4(x - 1) + 2[/tex]
[tex]y = 4x - 4 + 2[/tex]
[tex]y = 4x -2[/tex]
So, we have:
[tex]y = 4x -2[/tex] ------ A
[tex]y = 3x + 4[/tex] ---- B
The y intercept is when [tex]x = 0[/tex]
So, we have:
[tex]y = 4 * 0 - 2 = -2[/tex] ---- y intercept of A
[tex]y = 3 * 0 + 4 = 4[/tex] ---- y intercept of B
By comparison:
[tex]-2 < 4[/tex]
Hence: (b) is correct
The rate of change of a function [tex]y = mx + b[/tex] is m
So:
The rate of change of A is:
[tex]m_A=4[/tex]
and for B is:
[tex]m_B=3[/tex]
By comparison:
[tex]4 > 3[/tex]
Hence: (F) is correct
Simplify equations HELP NOW!!
Answer:
[tex]\frac{1}{5} (2x+10)=4[/tex] [tex]x=5[/tex]
[tex]\frac{1}{3} (3x+9)=9[/tex] [tex]x=6[/tex]
Step-by-step explanation:
[tex]\frac{1}{5} (2x+10)=4[/tex]
Multiply both sides of the equation by 5.
5 · [tex]\frac{1}{5}[/tex] · [tex](2x+10)=[/tex] 5 · 4
Simplify both sides of the equation.
[tex]2x+10=20[/tex]
Subtract 10 from both sides of the equation.
[tex]2x=10[/tex]
Divide each term by 2 and simplify.
[tex]x=5[/tex]
--------------------------------------------------------------------
[tex]\frac{1}{3} (3x+9)=9[/tex]
Substitute x for 6
[tex]\frac{1}{3} (3(6)+9)=9[/tex]
Multiply 3 · 6
[tex]\frac{1}{3} ((18)+9)=9[/tex]
Add 18 + 9
[tex]\frac{1}{3} (27)=9[/tex]
Divide [tex]\frac{1}{3}[/tex] ÷ 27
9 = 9
Alicia borrowed $15,000 to buy a car. She borrowed the money at 8% for 6 years
Answer:
She have to pay the bank at the end of the 6 years = 222000$
Step-by-step explanation:
Formula applied in this case where price, interest rate and time duration is mentioned.
Interest = prt/100
Substituting all the given values in the formula.
interest = 15000 * 6 * 8/100
150 * 6 * 8 = 7200
Interest + 15000 = 15000 + 7200 = 222000$ has to pay the total.
In this question amount is 15000 multiply by 6 and by 8 then divide it by 100 so we get the interest then we add it in to amount so we get an answer that is total amount which he has to pay. Hope this helps! :P PLZ GIVE ME BRAINLIST
determine the quadrant of -210
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Answer:
-210° is a 2nd quadrant angle
-210 radians is a 3rd quadrant angle
-21° is a 4th quadrant angle
Step-by-step explanation:
If we assume you want the quadrant of the terminal ray of a standard-position angle whose measure is -210 degrees, then we can find the equivalent positive angle by adding 360°. The result is the coterminal angle of 150°. That lies between 90° and 180°, so is in the 2nd quadrant.
__
The number given in this problem statement has no units attached. A "unitless" angle measure is a measure in radians. To normalize this angle of -210 radians, we can 68π radians to give a coterminal angle of about 3.628300 radians, or 207.9°. This angle lies between 180° and 270°, so is a 3rd quadrant angle.
__
If the number given here is intended to be -21°, then it is measured 21° clockwise from the +x axis. That puts it in the 4th quadrant.
_____
Additional comment
We understand that sometimes the degree symbol does not get properly rendered when questions are copied to Brainly. We have seen it disappear (which we initially assumed was the case here), and we have seen it rendered as a zero (considered as an afterthought here). We also want to emphasize the fact that angles cannot be assumed to be in degrees, and that an angle in radians is equivalent to a pure number--one with no units at all. Hopefully we've covered enough bases that you can find the answer you want among those offered.
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
Answer:
-x^2+2x-3
Step-by-step explanation:
(x^2 - 3x) + (-2x^2 + 5x - 3)
Combine like terms
-x^2+2x-3
Answer:
The fourth answer
Step-by-step explanation:
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
The fourth answer
If f(x)=(x-1)^1/3 then what is f^-1(x)
Answer:
The answer is f−1(x)=1x13
Step-by-step explanation: hi
A semi-elliptical arch rises 20 feet above a channel connecting two lakes. The width of the ellipse measures 50 feet. Write an equation of the ellipse. Let the center of the channel be located at the origin.
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Answer:
x^2/625 +y^2/400 = 1
Step-by-step explanation:
The semi-major axis is a=25, the semi-minor axis is b=20. The equation is ...
x^2/a^2 +y^2/b^2 = 1
x^2/625 +y^2/400 = 1
Determine the intercepts of the line
X_______
Y_______
Answer:
-250, and 100
Step-by-step explanation:
The intercepts of the line are the points where line intersects the x-axis and y-axis .
the x intercept is at point (-250, 0)
the y intercept is at point (0, 100)
Evaluate the inverse trigonometric function Sin^-1(-1). Give answers in both radians and degrees.
A) Sin^-1(-1) = -pi or -180°
B) Sin^-1(-1) = 3pi/2 or 270°
C) Sin^-1(-1) = pi or 180°
D) Sin^-1(-1) = -pi/2 or -90°
Answer:
B) Sin^-1(-1) = 3pi/2 or 270°
D) Sin^-1(-1) = -pi/2 or -90°
Step-by-step explanation:
Sine function:
The sine function is -1 at 270º(-90º), which is 3pi/2 = -pi/2.
Inverse sine:
The input of the inverse sine function is a value, and the output are the angles which have the sine equal to the input.
Sin^-1(-1)
Angles for which the sine are -1, that is 3pi/2 or 270° and -pi/2 or -90°. Thus, options B and D are correct.
Suppose a triangle has sides 1,
and 1. Which of the following must be true?
A. The triangle in question is a right triangle.
B. The triangle in question may or may not be a right triangle.
C. The triangle in question S not a right triangle.
SUBMIT
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Answer:
B. The triangle in question may or may not be a right triangle
Step-by-step explanation:
The length of the third side of the triangle may have any measure between 0 and 2. The triangle will only be a right triangle if the third side has length √2.
The triangle may or may not be a right triangle.
Mischief Campbell math class lasts 45 minutes. Math class starts at 9:05. what time does math class end?
Answer:
The correct answer is 9:50.
Step-by-step explanation:
9:05+0:45=9:50
Help me pleaseeeeeeeeeee nowwwww
Answer:
the correct answer is letter B
if f(x) = x^2 + 3x, and g(x) = 2x^2, what is g(f(-1))?
Answer: g
(
x
2
−
3
x
)
=
2
x
2
−
6
x
+
2
Step-by-step explanation:
Geometry work HELP ASAP trying to find the measure of a circumference!!
Answer:
65 degrees
Step-by-step explanation:
Since it is given that AB=DC
then we know that AO=DO and BO=CO because it is the radius of a same circle.
Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB
Which of the following statements is not true regarding a 95% confidence interval for the mean of a population?
a. In 95% of all samples, the sample mean will fall within 2 standard errors of the true population mean.
b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
c. In 95% of all samples, the true population mean will be within 2 standard errors of the sample mean.
d. 95% of the population values will lie within 2 standard errors of the sample mean.
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
hope this helps,have a great day!!
~Pinky~
The 95% confidence interval does not mean that b. If you add and subtract two standard errors to ... 95% of all cases,... captured the true population mean.
What is the 95% confidence interval for a population mean?It means that for any given number of samples, 95% of them will fall within 2 standard errors of the true mean of the population the sample is derived from.
Applying this confidence interval to the sample mean will not help you capture the true population mean which is why option B is incorrect as regards the 95% confidence interval for the population mean.
In conclusion, option B is correct.
Find out more on the 95% confidence interval at https://brainly.com/question/3191358.
I added a picture of the question.
Answer:
C) 2*18, 3*12, 4*9, 6*6
Step-by-step explanation:
When these number sets are multiplied, all of them equal 36, therefore C is your answer.
Hope this helped! :)
Mary, Anna, Alice, and Kate are at the food court and find a deal on packs
of 6 pretzels. They want to buy the minimum number of packs so that each
of them gets the same number of pretzels and no pretzels are left over.
How many packs of 6 pretzels should they buy?*
O 2
04
6
O 10
O 12
Testing y’all’s knowledge from middle school
Answer:
2
Step-by-step explanation:
4 people and 6 pretzels.
If you buy 2 packs you get 12 pretzels and each person gets 3