Answer:
K = 43
Step-by-step explanation:
We'll begin by determining the gradient of the equation 5y + 4x = 8. This can be obtained as follow:
5y + 4x = 8
Rearrange
5y = 8 – 4x
5y = –4x + 8
Comparing 5y = –4x + 8 with y = mx + c, the gradient m is –4
Next, we shall determine the gradient of the line perpendicular to the line with equation 5y = 8 – 4x.
This can be obtained as follow:
For perpendicular lines, their gradient is given by:
m1 × m2 = – 1
With the above formula, we can obtain the gradient of the line as follow:
m1 × m2 = – 1
m1 = –4
–4 × m2 = – 1
Divide both side by –4
m2 = –1/–4
m2 = 1/4
Finally, we shall determine the value of k as follow:
Coordinate => (k, 4) and (3, –6)
x1 coordinate = k
y1 coordinate = 4
x2 coordinate = 3
y2 coordinate = –6
Gradient (m) = 1/4
m = (y2 – y1) / (x2 – x1)
1/4 = (–6 – 4) / (3 – K)
1/4 = –10 /(3 – K)
Cross multiply
3 – K = 4 × –10
3 – K = –40
Collect like terms
– K = – 40 –3
–k = –43
Divide both side by – 1
K = –43/–1
k = 43
find the slope from the table
Answer:
5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
Help me with this question pleasee
Answer:
√23 = a
Step-by-step explanation:
/ab/²= /ac/²+/bc/² (Pythagoras theorem)
12² = a² +11²
144 = a² + 121
144 - 121 = a²
23 = a²
√23 = a
Reuben spent a total of $60 at the grocery store. Of this amount, he spent $27 of fruit. What percentage of the total did he spend on fruit
Answer:
45%
Step-by-step explanation:
Since we are given the total spent (denominator) and the amount spent on the fruit (numerator) we can simply divide one by the other which would give us the percentage, in decimal form, of the total that he spent on fruit. We then multiply this decimal by 100 to get the actual percentage value like so...
[tex]\frac{27}{60} = 0.45[/tex]
0.45 * 100 = 45%
Finally, we can see that the percentage of the total amount that was spent on fruit was 45%.
Kenya went to the convenience store to buy some snacks. She spent a total of
$12.00 on soda and candy. The soda cost $3.00 and each candy bar cost $1.50. If
Kenya bought one soda, how many candy bars did Kenya buy?
Answer:
6
Step-by-step explanation:
12
-3
----
9 divided by 1.50= 6
Kenya buy 6 candy bars.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Give:
Kenya spent a total of $12.00 on soda and candy.
The soda cost $3.00 and each candy bar cost $1.50.
Now, Money left after spending on Candy
= 12- 3
= $9
Now, number of candy bars Kenya buy is
= 9/ 1.50
= $6
Hence, Kenya buy 6 candy bars.
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n f(x) =10-2( x ), Solve when given f(12) function notation
Answer:
-14
Step-by-step explanation:
[tex]10 - 2(12) = - 14[/tex]
Wayne is hanging a string of lights 45 feet long around the 3 sides of his rectangular patio, which is adjacent to his house. The length of his patio, the side along the house, is 5 feet longer than 2 times its width. Find the length and width of the patio.
Answer:
45=2w+L and L=2w+5
45=2w+L 45=2w+(2w+5)
45=4w+5
40=4w
10=w
L=2w+5 L=2(10)+5
L=20+5
L=25
The length of the patio is 25 feet and the width of one side of the patio is 10 feet. Because there are two width sides and one length side, this all adds up to be 45 feet long.
Can I get brainliest please?
Someone please help!!!!!!
Answer:4/5 > 5/7 > 3/8 > 1/3 > 2/7
Step-by-step explanation: just make them all one denomator and do the greatest to least greatest
S is the midpoint of RT. RS=x2 and ST= 8-2x. Find both values of x.
Answer:
x = -4 or 2
Step-by-step explanation:
We are told that S is the midpoint of RT.
Thus; RS = ST.
Now we are told that RS = x² and ST = 8 - 2x
Thus;
x² = 8 - 2x
x² + 2x - 8 = 0
Using quadratic formula;
x = [-2 ± √(2² - 4(1 × - 8))]/(2 × 1)
x = (-2 ± √36)/2
x = (-2 ± 6)/2
x = -4 or 2
solve this equation 16+7+4x+x+3x+7
Answer:
27+8x
Step-by-step explanation:
18+45-9(2)
Using order of operations
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
18 + 45 - 9(2)
PEM -> 18 + 45 - 18
AS -> 45 (18 and - 18 = 0)
Help!Asap!
The Surface areas of the two solids shown above are equal
A.true
B.false
Answer:
False
Step-by-step explanation:
For the one on the left I got 234 and the one on the right I got 248
"There are 9 students in a class. 3 of them are selected to form a committee where each member is assigned a unique position in the committee (President, Vice President, etc.) How many different committees are possible?"
Answer:
6
Step-by-step explanation:
The y-coordinate of the vertex of the parabolic graph of
f(x) = ax2 + bx + c
is
hello,
y-coordinate is found by computing f(0)=c
so this is the point (0,c)
the vertex is found for x = -b/(2a)
[tex]f(\dfrac{-b}{2a})=\dfrac{ab^2}{4a^2}-\dfrac{b^2}{2a}+c\\\\=\dfrac{b^2-2b^2+4ac}{4a}\\\\=-\dfrac{b^2-4ac}{4a}[/tex]
So this is the point ( -2(2a), -(b^2-4ac)/(4a) )
thanks
The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex]
Given that,
[tex]\rm f(x) = ax^{2} +bx+c[/tex]
We have to determine,
The y-coordinate of the vertex of the parabolic graph?
According to the equation,
The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.
In case the coefficient of the x² term is positive, and then the vertex will be located at the lowest point on the graph, the point at the base of the “U”-shape.
On the contrary, if the coefficient of the x² term is negative, the vertex will be located at the highest point on the graph, at the top of the “U”-shape.
Therefore,
The vertex of the parabola of the given quadratic equation,
[tex]\rm f(x) = ax^{2} +bx+c[/tex]
The co-ordinate is founded when x = 0,
[tex]\rm f(x) = ax^{2} +bx+c\\\\\rm f(0) = a(0)^{2} +b(0)+c\\\\\rm f(0) = c[/tex]
Then, The vertex is found at point (0, c) at x = -b\2a,
[tex]\rm f \left (\dfrac{-b}{2a }\right) = a\left (\dfrac{-b}{2a }\right) ^2 + b \left (\dfrac{-b}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = a \left (\dfrac{b^2}{4a^2 }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \left (\dfrac{b^2}{4a }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{b^2-2b^2+4ac}{4a}\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{-b^2+4ac}{4a}\\\\[/tex]
Hence, The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex].
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Freda saved $4 each week for 8 weeks to donate she donates the same amount to 2 charities how much will freda donate to each charity ?
Answer:
$16
Step-by-step explanation:
4 * 8 = 32
32/ 2 = 16
If she saves four dollars a week for eight weeks and divides her savings to donate to two charities, each charity would recieve $16
Solve the formula for v: A=Z+vg
V=
Answer:
(a-z)/g =v
Step-by-step explanation:
Answer:
v = (A-Z)/g
Step-by-step explanation:
you would put A-Z over g
A = Z + vg
Subtraction property of equality
A-Z = vg
division property of equality
(A-Z)/g = v
Symmetric property of equality
v = (A-Z)/g
what is the sum of 5 1/4 and 3 2/6
Answer:
8.5
Step-by-step explanation:
The ratio of blue paint to yellow paint in a certain color of green paint is 2.1. A painter wants a total of 14 quarts of green paint Blue paint is
$16.64 per quart and $34.96 per gallon. Buying the least amount needed, how much will it cost to purchase the blue paint in the most economic
way?
Answer:
The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])
Step-by-step explanation:
Both gallon and quart are capacity units, we must keep in mind that a gallon equals 4 quarts. We need to convert each price in the same units. In this case, we decided to use US dollars per quart as our reference unit. Hence:
Blue paint 1 ([tex]16.64\,\frac{USD}{qt}[/tex])
No unit conversions are needed.
Blue paint 2 ([tex]34.96\,\frac{USD}{gal}[/tex])
We proceed to the following conversion:
[tex]x = 34.96\,\frac{USD}{gal}\times \frac{1\,gal}{4\,qt}[/tex]
[tex]x = 8.74\,\frac{USD}{qt}[/tex]
The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])
40. Mari has 42 green beads, 30 yellow beads, and 54
blue beads. She wants to use all of the beads and
string the beads so that she has the same number of
each color on a string of beads. What is the greatest
number of strings of beads she can make?
Answer:
30
Step-by-step explanation:
30 because she has 30 yellow beads and we can take away 30 from the other numbers. So 30 is the greatest number of strings of beads she can make. Hope this helped,have a great day!
PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.
Part A: Show your work to complete the square of the function. (1 point)
Part B: Identify the vertex of the function. (1 point)
Part C: Explain how to determine the maximum or minimum value of the function. (2 points)
Answer:
5x2=10+10=20+12= 32.
Step-by-step explanation
The correct answer is 32.
Hope I helped.
Joe is the proud owner of Joe's Old Time BBQ Pit. He sells two types of BBQ sauce - Hot N' Spicy and Mild Mannered. Each gallon of Hot N' Spicy requires 2 quarts of tomato sauce and 2 cups of hot peppers. Each gallon of Mild Mannered requires 3 quarts of tomato sauce and 1 cup hot peppers. Joe makes a profit of $38 on each gallonof Hot N' Spicy and $35 profit on each gallon of Mild Mannered. He has 18 quarts of tomato sauce and 10 cups of hot peppers on hand. How many gallons of each type of BBQ sauce should he make to maximize his profits?
Answer:
P=$254
Step-by-step explanation:
let Hot N' Spicy be x
and Mild Mannered be y
the objective function is
38x+35y=P
the constraints are
1. tomato sauce
2x+3y=18--------1
2. hot peppers
2x+y=10--------2
solving 1 and 2 we have
using substitution method
2x+y=10--------2
y=10-2x
put y=10-2x in eqn 1
2x+3(10-2x)=18
2x+30-6x=18
2x-6x=18-30
-4x=-12
x=12/4
x=3
put x=3 in eqn 2 we have
2(3)+y=10
6+y=10
y=10-6
y=4
He should make 3 gallons of Hot N' Spicy
and 4 gallons Mild Mannered
38(3)+35(4)=P
114+140=P
254=P
P=$254
Find the average height of the building shown in the table hint to find the average of the values and divide the number of value
In order to find the average, you need to sum all values and the result divided by the number of values.
For example, let's say that you have these values: 2, 3, 4, 5 ,5 ,6 ,7.
The first
The second step is divide this result by the number of values:
Hence, the average for this example is 4.6.
Susie walk 10 miles each week. she has already walked 3 miles this week and expects to walk 100 miles how long will it take her to walk 100 miles
Answer:
10 weeks
Step-by-step explanation: 100÷10=10
big brain
Answer:
9 week and 4 days
Step-by-step explanation:
Tell me what quadrant this angle is in.
Answer:
Second quadrant
Step-by-step explanation:
[tex] \because \: \frac{ \pi}{2} < \theta < \pi \: bounds \: second \: quadrant \\ \\ \therefore \: \sin \theta = \frac{4}{5 } \: lies \: in \: second \: quadrant.[/tex]
A right triangle has one 40° angle. Find the other two angles.
° (smaller value)
° (larger value)
use the graph if y=f(x) below to find f(4)
Answer:
there is no graph. can you edit the question?
Answer:
Ok:
Step-by-step explanation:
Welp, I don't see the graph but I can tell you what to do. You find x = 4, and draw a vertical line up. Once your line reaches the graph, see what the y value is. If the question is nice, you should get an exact integer number
Calendar
Mr. Torrence goes to La Jalpita to buy rolled ice cream. An ice cream with no toppings is $2.50 and
every topping is priced at $0.29 each. Show your work and justify your answers.
Files
a) Write an algebraic equation to find the total cost (C) for ice cream depending on (t), the number of
toppings. Label the variables.
...
Equation: C=0.295 +2.50
b) Using the equation you wrote, calculate (algebraically) how many toppings Mr. Torrence can buy if
he wants to spend only $4.00 on it?
func
Apps
al
1
Answer: Mr. Torrence can get
toppings if he only has $4.00 to spend.
Help
tan
Page 1 of 2
329 words
English (U.S.)
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Give Feedback to Microsoft
Answer:
(a) C = 0.29t + 2.50
(b) 5
Step-by-step explanation:
The variables are defined as follows:
t = the number of toppings
C = total cost for ice cream
It is provided that:
An ice cream with no toppings is $2.50.Every topping is priced at $0.29 each.(a)
The algebraic equation to find the total cost for ice cream depending on the number of toppings is:
C = 0.29t + 2.50
(b)
Compute the number of toppings Mr. Torrance can buy if he wants to spend only $4.00 on it as follows:
C = 0.29t + 2.50
4.00 = 0.29t + 2.50
0.29t = 4.00 - 2.50
0.29t = 1.50
t = 5.1724
t ≈ 5
Thus, Mr. Torrance can buy 5 toppings.
Original Amount = 1,250
Amount of Change = 618
Percent Increase =
Amount of Change
Original Amount
The percent change is about
.
Answer: 49.4%
Hope this is the answer you are looking for!
Answer:
49.44%
Step-by-step explanation:
A robot can complete 7 tasks in 2/3 hour. Each task takes the same amount of time. How long does it take the robot to complete one task? How many tasks can the robot complete in one hour?
Answer:
a. is 2/21 hours to complete one task
b. is 10 1/2 tasks in one hour
Robot takes 2/21 hour to complete the task.
In one hour, robot complete 21/2 task.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to complete 7 tasks = 2/3 hours.
To find the time taken to complete one task and tasks that completed in one hour,
Use ratio method,
7 tasks take = 2/3 hours
1 task takes = 2/(3 x 7) = 2 / 21 hours.
In 2/3 hours = 7 tasks completed,
1 hour = 21/2 tasks.
In one hour, 21/2 tasks can be completed.
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Ms. Lynch needs to ship 89 boxes. 47 boxes weigh 150 pounds each. Each of the other boxes weighs 210 pounds. Mia says that all 89 boxes can fit into one container. She reasons that 47x150 is less than 7,500 and 42x210 is a little more than 8,000, so the sum of their weights should be less than 15,000. Do you agree? Explain your reasoning.
Answer:
No . Mia states that the sum of the weights should be less than 15,000 .
Step-by-step explanation:
42x150=7050
42x210=8820
7050 + 8820 = 15,870 which is not less than 15,000
2. During a trip, Dawn rented a car for an initial fee of $20 plus $2 per mile. The total charge comes
to $40. Which equation can be used to calculate the number of miles that Dawn drove the rental
car?
Answer:
2x+20=40
Step-by-step explanation:
40
Step-by-step explanation:
i did 20x2=40 to find the answer
