Answer:
(55/38,-16/19)
Step-by-step explanation:
4x -5y = 10
2x + 7y = -3
4x -5y = 10
-4x -14y = 6
-19y = 16
y = -16/19
2x -112/19 = -57/19
x = 55/38
Sheldon is baking 2-inch cookies. He has 3 trays that are the same size. On one tray, he makes 5 rows with 4 cookies in each row. He cannot fit any more cookies on the tray. He fills the second tray completely and only part of the third tray. How many cookies could Sheldon have made?
Answer: Sheldon has made 50 cookies
Step-by-step explanation: for the first test because there are 5 rows and 4 cookies on each row you would multiply 4 times 5. That equals 20. The first tray has twenty and all trays are the same size so if the second one is completely full then it also has twenty. The third one is only half way full meaning twenty divided by two equals ten. Ten is the amount of cookies on the third tray. If you add that all together that is 20+20+10=50
The number of cookies made by Sheldon will be equal to 50.
What is an arithmetic operation?
The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
For the first test, you would multiply 4 by 5 because there are 5 rows and 4 cookies on each row. 20 is the result.
Since all trays are the same size and the first tray has twenty, if the second tray is totally filled, it will also have twenty.
Twenty divided by two equals 10 because the third one is only half full.
There are ten cookies on the third tray.
The total is,
20+20+10 = 50.
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What is his weekly allowance if he ended with $15?
From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building
Answer:
First we find the distance between the two buildings =
Step-by-step explanation:
[tex] \frac{80}{ \tan(65) } = 37.3 ft[/tex]
then the upper part of the taller building =
[tex]37.3 \times \tan(59) = 62 \: ft[/tex]
Now the total height of the taller building
[tex]80 + 62 = 142 \: ft[/tex]
Write the phrase as a variable expression. Use x to represent "a number."
5) The quotient of a number and 9, decreased by 4
Answer:
a/9 - 4
Step-by-step explanation:
The expression will be (x/9) - 4.
It is given that a number x is the quotient of a number and 9 decreased by 4.
We have to find the variable expression for this.
What will be the expression for , 2 times of a number minus 4 ?
The expression will be 2x -4.
Quotient of a number and 9
= x / 9
Decrease this by 4 ; we get
= (x / 9 ) - 4
Thus , the expression will be (x/9) - 4.
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What do the graphs of sine and cosine have in common with the swinging you see?
The high and low points repeat in a pattern.
The cycle repeats at equal time intervals.
The swinging motion is smooth, unabrupt.
This is the same pattern in the graphs of sine and cosine. ... The correct answe is - The high and low points repear in pattern and the cycle repeats at equal time intervals. The correct answer: The high and low points repeat in pattern
Please help me with this problem.
Answer:
Step-by-step explanation:
Remark
The cos(60) = 1/2
The radii marked 6 is the adjacent side. You have to solve for the hypotenuse.
Why?
Because the hypotenuse is the distance from the center of the circle to the point of intersection of the angle. Once you have the hypotenuse, you can find the length of the tangent, which will lead to the area of the kite. Then take away 1/3 the area of the circle.
Hypotenuse
Cos(60) = 1/2
cos(60) = adjacent / hypotenuse Multiply both sides by the hypotenuse
hypotenuse * cos(60) = adjacent Divide by Cos(60)
hypotenuse = adjacent / cos(60)
adjacent = 6
hypotenuse = 6/0.5
hypotenuse = 12
Tangent
tangent^2 = 12^2 - 6^2
tangent^2 = 144 - 36
tangent^2 = 108
tangent = sqrt(108)
tangent = 6sqrt(3)
Triangles
The area of the triangle = 1/2 6sqrt(3) * 6
The area of the triangle = 18 sqrt(3)
There are two triangles so the area = 36 sqrt(3) That's the area of the kite.
Circle sector.
Area of the circle sector = 1/3 * pi * r^2
r = 6
Leave pi as it is.
Area of the circle sector = 1/3 * pi * 6^2
area of the circle sector = 12 pi
Answer
Area of the red part = area of the triangles - the area of circle sector
Area of the red part = 36*sqrt(3) - 12* pi
Answer please be quick
Answer:
B
Step-by-step explanation:
The correct answer is B
Jin runs a 50-meter dash, he runs 6 times a day. Last week he ran 4 day and this week he ran 5 days in these 2 weeks how many kilometers did he run
Answer:
2.7 kilometers
Step-by-step explanation:
Distance per run = 50 meters
Number of run per day = 6
Distance run per day = Distance per run * Number of run per day
= 50 meters * 6
= 300 meters
Last week he ran 4 day
Total distance run last week = Distance run per day * number of days
= 300 meters * 4
= 1200 meters
this week he ran 5 days
Total distance run this week = Distance run per day * number of days
= 300 meters * 5
= 1500 meters
Total distance for two weeks = Total distance run last week + Total distance run this week
= 1200 meters + 1500 meters
= 2700 meters
1000 meters = 1 kilometer
2700 meters = 2700/1000
= 2.7 kilometers
Total distance for two weeks = 2.7 kilometers
dilations geometry help please
Multiply x and y by 2:
A. (-6, 4)
B. (2, 2)
C. (-2, -2)
A game decreased in price by
2
3
. After the reduction it was priced at £17. What was the original price of the game?
Answer:
51
Step-by-step explanation:
Connie the fruiterer sells two fruit packs.
Pack 1 : 10 apples and 5 mangoes ($12)
Pack 2 : 15 apples and 4 mangoes ($14.15)
Determine the cost of 1 apple and 5 mangoes.
Can someone help me with this? 20 points
Answer:
Step-by-step explanation:
Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.
The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures
10√3 -10 which is 7.32
I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!
Please help me understand
Answer:
B. slope 1/4, y-intercept at ( 0, 5)
Step-by-step explanation:
slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4
the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)
we are given that one of the points is (x=0, y=5) so this is our y-intercept
OR
the slope intercept form equation of a line y= mx+b, where b is the y-intercept
y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5
5 = (1/4)*0 +b
5 = b
Find the missing side. Round it to the nearest tenth
Q:1)A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?
Q:2)An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.
$\sf\underline\bold{Question:1-}$
A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?
$\sf\underline\bold{Solution}$
$\sf{According \: to\:the\: question,}$
Displacement for the above situation is 0. As we know, that displacement is the shortest path from the initial to the final point. Here, the initial and the final points are the same, and henceforth, it takes no time to travel. So the displacement is 0.
_________________________$\sf\underline\bold{Question:2-}$
An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.
$\sf\underline\bold{Solution:}$
$\sf\bold{Given\:parameters:}$
$\sf\small{☆The\:diameter\:of\:the\:circular\:track:200m}$
$\sf{Radius=}$ $\sf\dfrac{200}{2}$ → $\sf\underline{Radius = 100m}$
☆Time taken by an athlete to complete one round : 30 seconds.
$\space$
$\sf\bold{To\:find:}$
❍Distance travelled by an athlete in 30 seconds.
$\space$
❍ AND,Distance travelled by the athlete will be equal to the cumference of the circle.
$\space$
$\space$ $\space$ $\space$ $\space$ $\space$ $\space$ $\sf{So,}$
$\mapsto$ $\sf{Circumference\:of\:the\:circle: 2 πr}$
$\space$
$\mapsto$ $\sf{Circumference=2\times}$ $\sf\dfrac{22}{7}$ $\sf{\times 100}$
$\space$
$\mapsto$ Circumference of the circle : $\sf\dfrac{4400}{7}$
$\space$
[tex]\sf\underline\bold{∴Circumference = 628.57m}[/tex]
$\space$
||Therefore,The distance travelled in 30 seconds, by the athlete is 628.57m.||
______________________0 = 1st answer
628.57 m = Question 2 answer.
Classify the following triangle. Check all that apply
Answer: (F)
Step-by-step explanation:
3(8 – 4x) < 6(x – 5)
Answer:
[tex]3\left(8-4x\right)<6\left(x-5\right)[/tex]
[tex]3(8-4x)=241-2x[/tex]
[tex]6(x-5)=6x-30[/tex]
[tex]24-12x<6x-30[/tex]
Subtract 24 from both sides
[tex]-12x<6x-54[/tex]
Now, subtract 6x from both sides
[tex]-18x<-54[/tex]
Multiply both sides by -1
[tex]18x>54[/tex]
Divide 18 from both sides
[tex]x>3[/tex]
OAmalOHopeO
If a circle has a RADIUS of 12 cm, what is the AREA rounded to the nearest tenth?
Step-by-step explanation:
R^2*3,14=12^2*3,14=452,16 làm tròn đến phần mười gần nhất là450
easy algebra question below first correct answer gets brainliest
Answer:
3
Step-by-step explanation:
Easy pythagorean theorum question.
The law states that "A squared plus B squared, equals C squared."
A and B are the two sides that border the 90 degree mark.
C is the hypotenuse or the longest side/diagonal.
Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know
2^2 + ?^2 = [tex]\sqrt{13^{2} }[/tex]
So
4 + ?^2 = [tex]\sqrt{13^{2} }[/tex]
Since the 13 is already squared in side of a root, it stays as 13
4 + x^2 = 13
4 - 4 + x^2 = 13 - 4
x^2 = 9
x^2 root = root of 9
x = 3
The missing side is 3.
Or you could use an online calculator xD
find find x in the diagram with angle 56 degree
Solve for x and y. Write any radical answers as "sqrt( )" or "squareroot( )".
Answer:
x = 4 and y = 8
Step-by-step explanation:
This is a special right triangle with angle measures 90-60-30 degrees
The side lengths are like the following :
The side length that sees 90 degrees is represented with a
The side length that sees 60 degrees is represented with a[tex]\sqrt{3}[/tex]
The side length that sees 30 degrees is represented with 2a
now, the angle measure that sees 60 degrees is given as 4[tex]\sqrt{3}[/tex] so we understand that a is = 4 that's how we find the value of x and y
Matching the Meaning of Key Features of a Graph
Match the key aspect of a function's graph with its meaning.
Answer:
a goes to 3
b goes to 4
c goes to 1
d goes to 2
Step-by-step explanation:
just did it right on edge
Visualise 4.26 on the number line, up to 4 decimal places.
Answer:
is it 4.2626
Step-by-step explanation:
let me know if it right
Giving brainliest! View image!
Answer:
58%
Step-by-step explanation:
10*5=50
7*3=21
21/50 chance to choose inside small rectangle
21/50*2 = 42/100 chance to choose inside small rectangle
100-42=58%
Kyle brough a case of 24 12 ounce bottles of water.He drank the same amount of water each day and finished the case after 3 days.How many onces of water did kyle drink each day?
Answer:
96 ounces each day
Step-by-step explanation:
Divide the 24 bottles by 3
24/3 = 8
8bottles per day
8 bottles *12 ounces per bottle
96 ounces each day
Cuantos años hay que tener un capital de 8500 euros a un redito de 3,75% para que produzca un interes de 2868,75 euros?
Respuesta:
9 años
Explicación paso a paso:
Dado :
Capital = Principal, P = 8500 €
Rendimiento, tasa, r = 3,75%
Intereses, i = 2868,75 €
Para obtener el plazo, número de años que se necesitarán para devengar un interés de 2868,75 € sobre un capital de 8500 € al tipo del 3,75%;
Interés = principal * tasa * tiempo
2868,75 € = 8500 € * 0,0375 * t
2868,75 € = 318,75 billones €
t = 2868,75 € / 318,75 €
t = 9
Por lo tanto, tomará un período de 9 años.
A student states that the reflection of triangle ABC across the y-axis is triangle A’B’C’. Determine if the student is correct or has made an error. <:)
Answer: The student is not correct
To reflect over the y axis, you use this rule
[tex](x,y) \to (-x,y)[/tex]
The x coordinate swaps in sign (from positive to negative, or vice versa) while the y coordinate stays the same.
So for a point like A(1,1), it should move to A ' (-1, 1) and not (-2,1) like the diagram shows.
B(3,1) should move to B ' (-3, 1)
C(1,4) should move to C ' (-1, 4)
It appears that the student applied a reflection over the y axis, and then they shifted the triangle 1 unit to the left.
Need help ASAP with this question please
Answer:
4th option, 5 5/6
Step-by-step explanation:
8 1/2 - 2 2/3
= 17/2 - 8/3
= (51-16)/6
= 35/6
= 5 5/6
Answered by GAUTHMATH
PLS HELP MY PARENTS R GOING TO HIT ME
Answer:
There are 104 nickels and 33 quarters
Step-by-step explanation:
Start of with the equation N = 3Q + 5. q is the amt of quarters n is the nickels. Then substitute Q with 33 since that is the amount of quarters and solve the equation for the amount of nickels that there are.