Answer: After t seconds, Fred is far away from Mark by (45-t).
Step-by-step explanation:
Given: Mark gives Fred a 45meter head start.
After t seconds, the distance of Fred from the starting point = 5t+45
The distance of Mark from the starting point = 6t
Now, Distance between Fred and Mark after t seconds = Location of Fred - Location of Mark
= (5t+45)-6t
= 5t+45-6t
= 45-t
Hence, After t seconds, Fred is far away from Mark by (45-t).
Albina buys a frying pan that costs 33 dollars and a wooden spoon that costs 2 dollars. If sales tax is 10%, what is the total purchase price including tax?
DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 2 units to the left, what are the coordinates of G'?
Answer:
[tex]G' = (4,6)[/tex]
Step-by-step explanation:
Given
[tex]D = (2, 5)[/tex]
[tex]E = (3, 1)[/tex]
[tex]F = (4, 6)[/tex]
[tex]G = (6, 6)[/tex]
Translation: 2 units left
Required
Determine the coordinates of G'
When a point (x,y) is translated by b units to the left, the new coordinates is (x-b,y)
So, if
[tex]G = (6, 6)[/tex]
G' would be:
[tex]G' = (6-b,6)[/tex]
In this case:
[tex]b = 2[/tex]
So, we have:
[tex]G' = (6-2,6)[/tex]
[tex]G' = (4,6)[/tex]
1. 6x + 2y = -12
4x + 3y = 7
2. 4x - y = 26
5x - 4y = 8
3. 5x + 3y = 13
17x + 8y = -16
using elimination to solve each system of equations
Answer:
J71763eua8w8w8us
Nakshatra w
Nskd8w8
I2991992
Lin’s family’s longevity noodles are about 15 cm long and Chen’s family’s longevity noodle are 8 cm longer than Lin’s family’s noodle. Write an equation that can be used to find the length of Chen’s family longevity noodle. Solve the equation.
Answer: 23 cm(Hope it's Right!)
Step-by-step explanation:
Write Lin as L and Chen as C
So put 25cm+8cm
whether the following relation represents a function. Use pencil and paper.
Explain your reasoning.
{(-4,4), (-2,2), (-1,1), (-7,7), (-8,6), (-3,5)}
Does the relation represent a function?
Ο Νο
o Yes
Simplify (8x - 2) (x -3)
Answe
8x^2-26x+6
Step-by-step explanation:
Given that R = 6x + 3y
Find y when x = 2 and R = 14
Give your answer as a fraction in its simplest form.
Answer:
y = 2/3
Step-by-step explanation:
14 = 6(2) + 3y
14 = 12 + 3y
2 = 3y
y = 2/3
PLEASE HELP I WILL GIVE BRAINALIST TO THE FIRST PERSON!!!!!!
Answer:
1.) 1 2.) [tex]\frac{1}{4^{2} }[/tex] 3.)[tex]\frac{7b^{3}}{a^{5}}[/tex] 4.)[tex]\frac{9a^{7}}{b^{6}}[/tex] 5.)[tex]\frac{1}{5^{2}}[/tex] 6.) [tex]\frac{8x^{3}}{27}[/tex]
Step-by-step explanation:
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the tabletop on a coordinate plane. The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis. Which equation represents the tabletop?
Answer:
C
Step-by-step explanation:
x^2/12.25 + y^2/4 = 1
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide then, the equation of that ellipse would be [tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with a major ellipse parallel to x-axis, then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: [tex](h \pm c, k)[/tex] where [tex]c^2 = a^2 - b^2[/tex]
If its major axis is parallel to y-axis, then,
Coordinates of its foci would be: [tex](h , k\pm c)[/tex] where [tex]c^2 = a^2 - b^2[/tex]and its equation would be:
[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]
A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide.
The carpenter sketches a drawing of the tabletop on a coordinate plane.
The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis.
then, the equation of that ellipse would be:
[tex]\dfrac{ x^2}{12.25} + \dfrac{ y^2}{4} = 1[/tex]
Learn more about ellipse here:
https://brainly.com/question/19881832
#SPJ2
A person in an apartment
building sights the top and bottom of an office
building 500 ft. away. The angle of elevation
for the top of the office building is 23° and the
angle of depression for the base of the building
is 50º. How tall is the office building?
* A Frog sits on a number line at point −10. It is allowed to make up to 4 jumps. First, it can make a jump of 8 units in either direction, or it can skip this jump. Then, it can make a jump 4 units long or skip this jump. Then, it can make a jump 2 units long, or skip this jump. And, finally, it can make a one-unit jump or skip it. Where can it be at the end? Answer: The possible numbers where frog could be are from
Answer and explanation:
Assuming the frog jumps from -10 for all jumps, if the frog decides to make all 4 jumps then :
8 units jump= -2 or -18
4 units jump= -6 or -14
2 units jump= -8 or -12
1 unit jump = -9 or -11
If the frog decides to make one jump then skip the others then:
Either it makes 8 units jump= -2 or -18
Or 4 units jump= -6 or -14
Or 2 units jump= -8 or -12
Or 1 unit jump = -9 or -11
If it decides to make 2 jumps and skip the others then:
Either it makes 8 units jump= -2 or -18
and 4 units jump= -6 or -14
Or 2 units jump= -8 or -12
and 1 unit jump = -9 or -11
Or any other mix of units of jump twice
If it decides to make 3 jumps and skip the others then:
Either it makes 8 units jump= -2 or -18
and 4 units jump= -6 or -14
and 2 units jump= -8 or -12
Or 1 unit jump = -9 or -11
and 4 units jump= -6 or -14
and 2 units jump= -8 or -12
Or any other mix of 3 jumps
If it decides to make no jump at all then the frog would remain at -10
19,2,14,8,11,10,4,15 find the mean
Answer: 10.375
Step-by-step explanation:
mean = average
Finding the average, means you need to add all the numbers up, and then divide it by the total amount.
-------------------------------------------------------------------------------
First Step: add them up
19+2+14+8+11+10+4+15=83
Second Step: count the amount of numbers
8 numbers in total
Third Step: divide the total amount over numbers
83/8=10.375
Hope this helps!! :)
Please let me know if you have any questions
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{When you hear the word \underline{MEAN} think of the question asking for the}\\\large\text{\underline{AVERAGE}. When we find the mean/average we have to ADD}\\\large\text{all of your TERMS, then DIVIDE the total numbers you have!}[/tex]
[tex]\bold{Set: 19,2,14,8,11,10,4,15}\\\bold{Add: 19 + 2+14+8+11+10+4+15}\\\bold{Divide: 8\ because\ thats\ the\ total\ number\ we\ have\ in\ your\ given\ set}[/tex]
[tex]\bold{Equation: \dfrac{19 + 2+14+8+11+10+4+15}{8}}\\\\\bold{Numerator\rightarrow19+ 2+14+8+11+10+4+15}\\\bold{19+2=21}\\\bold{21+14+8+11+10+4+15}\\\bold{21+14=35}\\\bold{35+8+11+10+4+15}\\\bold{35+8=43}\\\bold{43+11+10+4+15}\\\bold{43+11=54}\\\bold{54+10+4+15}\\\bold{54+10=64}\\\bold{64+4+15}\\\bold{64+4=68}\\\bold{68+15}\\\bold{=83}[/tex]
[tex]\bold{Equation: \dfrac{83}{8}}\\\\\large\text{SOLVE above and you will have your answer!}\\\bold{\dfrac{83}{8}=10.375}\\\boxed{\boxed{\large\text{Answer: your MEAN is \bf{10.375}}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amohitrite1040:)}[/tex]
No more than 15 copies of a newspaper are left in the newspaper rack. Write an inequality to represent this situation.
Answer:
0≤x≤15
Step-by-step explanation:
A store has a 30% off sale on pants. With this discount, the price of one pair of pants before tax is $10.20. What was the original price of the pants? *
14.57 i just took the quiz
Midpoint of (- 2, 6) (4, - 2)
Answer:
(0,5)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
(x1+x2/2,y1+y2/2)
Substitute in the values for (x1,y1)and (x2,y2).
(-2+2/2,[tex]\frac{4+6}{2}[/tex])
Cancel the common factor of −2+2 and 2.
(−1+1, [tex]\frac{4+6}{2}[/tex])
Add −1 and 1.
(0,[tex]\frac{4+6}{2}[/tex])
Cancel the common factor of 4+6 and 2.
(0, 2+3)
Add 2 and 3.
(0,5)
(Sorry, some of the fractions weren't working)
A. bread recipe calls for 5 cups of flour and 2 teaspoons of yeast.
a. how much flour and how much yeast do you need for two batches of bread draw a picture that shows the batches as well as the total amount of flour and total amount of yeast needed.
Answer:
5 pints of flour and 4 teaspoons of yeast.
Step-by-step explanation:
5*2=10
2*2=4
5*2=10
2*2=4Answer:
Step-by-step explanation:
A line passes through the points (-4,3) and (0,0) what is the slope of the line?
Answer:
Slope: -3/4
Step-by-step explanation:
Use the formula:
[tex]\frac{y^{2} -y}{x^{2} -x}[/tex]Substitute the points (-4, 3) and (0,0) into the equation:
[tex]\frac{0- 3}{0-(-4)}[/tex]Solve.
[tex]\frac{-3}{4}[/tex]
Luis is hiking at a park. He sees the sign shown and decides to hike there.
Wandering Twin Lake
4.9 mi
Luis knows that he can hike at an average rate of mile in 6 minutes.
Part A
How many hours will it take Luis to reach Wandering Twin Lake?
Enter the correct answer in the box.
Answer: 0.49 hours
Step-by-step explanation:
Luke takes 6 minutes to hike an average of 1 mile.
He decides to camp ay a point that is 4.9 miles away.
The amount of time it will take him to get to the place is:
= 4.9 * 6
= 29.4 minutes
In hours this is:
= 29.4 / 60 minutes
= 0.49 hours
Answer:0.49 hours
Step-by-step explanation:
= 4.9 * 6
= 29.4 minutes
In hours this is:
= 29.4 / 60 minutes
= 0.49 hours
Write the approximate value of 0.12456
upto 3 significant figures.
Step-by-step explanation:
be62vw6vwebe6e6be6ev6eb6eb6eb7eb7eebe73
Hello, if you know the answer, please explain how you got the answer to this
Answer:
b
Step-by-step explanation:
because the bottom part of the triangle shrunk by 4
Simplify:
-1/2( 4/5 + 8y)
Answer:
-2/5-4y
Step-by-step explanation:
multiply each side by -1/2
which expression is equivalent to z+(z+6)?
Answer:
2(z+3)
Step-by-step explanation:
Can someone help me solve this matrix
Step-by-step explanation:
4*-2 + 3*-3 = -8 - 9= -17
4*1 +3*-2= 4-6= -2
-2*-2 + 3*-3= 4-9= -5
-2*1 + 3*-2= -2 -6 = -8
-4*-2+6*-3=8-18= -10
-4*1+6*-2=-4-12= -16
the result matrix is
-17 -2
-5 -8
-10 -16
what is the intermediate step in the form
[tex](x + a) ^{2} = b[/tex]
as a result of completing the square for the following equation
Choose the correct answer
When solving a quadratic equation using the quadratic formula, the value of the discriminant is -16. How
many and what type of solutions does the quadratic equation have?
on
O 1 Rational Solution
ne
2 Irrational Solutions
O 2 Imaginary Solutions
O 2 Rational Solutions
• Previous
Next
Answer:
Step-by-step explanation:
Rational solution
WILL MARK YALL BRAINLIST
Answer:
114
Step-by-step explanation:
We know that [tex]f(x) = 4x^2-7x+12[/tex] and that [tex]f(x) = f(6)[/tex]. Therefore, you substitute x as 6 in the given expression.
Calculations:
[tex]f(x) = 4x^2-7x+12[/tex]
[tex]f(6)=4(6)^2-7(6)+12[/tex]
[tex]4(36)-42+12=114[/tex]
The four of you split the cost of materials you bought for your lemonade stand if the total cost was 85$ how much did you each pay? (Please I need help)
Which expression is equivalent to -6(3x-2/3)
-2x+9
-3x-6(2/3)
-18x+12
-18x+4
Answer:
option d is correct answer
Step-by-step explanation:
-18x+12
A bucket holds 2 1/2 gallons of water. Ryan fills it 3 1/4 times with the water from a barrel. How much water was in the barrel?
Answer:
8 1/8 gallons
Step-by-step explanation:
2 1/2 = 5/2
3 1/4 = 13/4
(5/2)(13/4) = 65/8 = 8 1/8 gallons
The values in the x column represent a specific number pattern, while the values in the y column represent a different pattern. Which graph provides a visualization of these two patterns?
Answer:
please give me more context so I can help you more