Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
I need help with geometry and help learning it
Answer:
Option (2)
Step-by-step explanation:
HL theorem for congruence states that if hypotenuse and one leg of one right triangle are congruent to the corresponding sides of the of the right triangle, both the triangles will be congruent.
By this theorem,
ΔACB ≅ ΔFED
If AB ≅ DF [Hypotenuse]
AC ≅ EF [Leg]
By these properties,
AC = EF = 12
Or BC = DF = 28
Therefore, Option (2) will be the correct option.
What is the solution of the system? Use elimination. 5x = -30 + 5y 20y = 105 + 5x 0 (-1,4) D5, 20) KO (-1, 5) (5.-1)
First, we will use elimination to solve for y.
[tex]5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5[/tex]
Now, we will use what we got for y to solve for x.
[tex]5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1[/tex]
Solution:
[tex](-1, 5)[/tex]
HELP ME PLEASE
The table below shows the number of each color marker Mr. Martinez has in his
bucket. If Mr. Martinez increases the amount of markers to 153, how many markers
can he expect to be blue?
Answer:
25
Step-by-step explanation:
If your friend's doctor wants her target heart rate range to be between 143 and 170, and her
average resting heart rate is 62, what is her age?
Answer:
a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm.
Step-by-step explanation:
so I'd say 21
Samira buys a car the car loses 23% of its value in the first year. at the end of the first year her car is worth 6575.80 dollars how much did samira pay for her car?
Answer: Samira paid $8540 for her car.
Step-by-step explanation:
Let x = Amount paid by Samira for her car.
Given: Depreciation rate = 23%
Worth of car after one year = $ 6575.80
As per given,
x - 23 % of x = 6575.80
⇒ x - 0.23x = 6575.80
⇒ 0.77x= 6575.80
⇒ x= $8540 [Divide both sides by 0.77]
Hence, Samira paid $8540 for her car.
12 large bottles of water cost nine dollars how many bottles can you buy for three dollars
Answer:
12 bottles for $9.
11 $8
9 $7
8 $6
7 $5
6 $4
5 $3
5 bottles for $3.
Please help me I’m working on a math test and I’m struggling with this problem: The Aon center in Chicago is one of the worlds tallest buildings. It was built in 1973. It is 1,136 feet high and has 80 stories. If each story is of equal height, how tall is each story btw this is division (:
Answer:
They are 14.2 feet high each
Step-by-step explanation:
1136/80=14.2
Answer:
14.2 feet
Step-by-step explanation:
We know that the height of the Aon Center is 1,136 feet.
This building has 80 stories whose heights are equal.
Therefore, in order to calculate the height of each story, we must divide the height of the Aon Center by the number of stories it has.
GIVING BRAINLIEST
If lines BG and CF are parallel, then JOL and IOM and congruent triangles. Is this statement correct? Explain your answer.
Answer:
No this statement is not correct.
Step-by-step explanation:
The definition of congruent triangles are triangles with equal side lengths and equal angles. As we can see in the picture, one triangle is significantly larger than the other, so in conclusion, the statement is incorrect.
By basic definition of congruent triangles we can say that the statement
"triangle JOL and IOM and congruent triangles" is false
what are congruent triangles?Triangle with same shape and same size are known as congruent triangle .Corresponding sides and angles of congruent triangles are equal .
Here in the given diagram it is clearly visible that size of triangle IOM and JOL is not same so they can't have same length of sides ,although corresponding angles are equal because of properties of parallel lines but for congruent triangles it's necessary that both corresponding sides and angle are equal .
By basic definition of congruent triangles we can say that the statement
"triangle JOL and IOM and congruent triangles" is false
To learn more about congruent triangles visit :https://brainly.com/question/2938476
| For which equation is a = 8 a solution? A 15 - a = 10 B) 10 + a = 23 c) a - 18 = 26 D) a +8 = 16
Answer:
D
Step-by-step explanation:
a + 8 = 16
collect like terms
a=16 - 8
a = 8
25
Consider the function, f (x) = 2x – 1
Use the above function to complete the following table.
Х
f(x)
1
0
-1
2
Answer:
well it is 1 beacuse on a numberline you would nedd the opposite of that number
Step-by-step explanation:
A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?
The question is incomplete, the complete question is;
A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?
a. There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster.
b. As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.
c. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.
d. The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.
Answer:
c. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.
Step-by-step explanation:
Though we can't see the scatter plot but it makes sense from option c that as the number of hours of studying increases, test scores increase.
That option even stated that the cluster of points increases from left to right. If the scatterplot has a cluster that increases from left to right, then it follows that the test scores actually increases positively with the number of study hours.
What additional piece of information would prove DABD ≅ DCBD?
Answer:
∠BAD ≅ ∠BCD
Step-by-step explanation:
The complete equation is attached.
Two triangles are congruent to each other if all their three sides are equal to each other and all their three angles are equal to each other.
The angle side angle (ASA) congruence theorem states that two triangles are congruent if two angles of one triangle is equal to two angles of the other triangle and also if their included side are equal.
Since AB = BC, ∠ABD = ∠CBD. For ∠ABD ≅ ∠CBD based on ASA then ∠BAD ≅ ∠BCD
What is the constant of proportionality for y=4.7x?
Answer:
4.7
Step-by-step explanation:
Given equation y=4.7x
constants of proportionality = y/x
so, y/x = 4.7
therefore, answer is 4.7
Which of the following best describes a geometric rotation?
A
A transformation that enlarges or reduces the size of a figure by certain scale factor
B
A transformation that slides a figure to a new location
С
A transforation that flips a figure across a line
D
A transformation that turns a figure around a point
Answer:C
A transformation that turns a figure around a point
Step-by-step explanation:
Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of the soda. The soda and candy bar are same prize. How much did he pay for the soda?
Given:
Arnold has $24 to spend at the movies.
Ticket = $12
Popcorn is double the price of the soda.
The soda and candy bar are same price.
To find:
The price for the soda.
Solution:
Let x be the price of soda.
According to the question,
Price of candy = Price of soda = x
Price of popcorn = 2(price of soda) = 2x
Total amount = Ticket + Popcorn + Soda + Candy
[tex]24=12+2x+x+x[/tex]
[tex]24=12+4x[/tex]
[tex]24-12=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{12}{4}=x[/tex]
[tex]3=x[/tex]
Therefore, the price of soda is $3.
A circle has radius 40 cm. Which of these is closest to its area
Answer:
5026.55
Step-by-step explanation:
Mr Signorelli is buying a new suit for a wedding. The suit costs $250, but he found a coupon for 20% off. What is the sale price of the suit?
Answer:
$200
Step-by-step explanation:
$200
What two things do you NEED to write an equation in point-slope form?
Answer:
a letter or a word of any kind
Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form
Step-by-step explanation:
PLZ HELP! NO FAKE ANSWER PLEASE!!!!!! PLEASE AND THANK YOU MARRY CHRISTMAS!
Answer:
1. m=1/2
2. x=4/7
3. t=4
4. y=5
Step-by-step explanation:
1. 5m+4=7m+6
5m-7m=6-5
2m=1
m=1/2
2. -5x+3=2x-1
-5x-2x=-1-3
-7x=-4
x= -4/-7= 4/7
3. 5t-3=3t+5
5t-3t=5+3
2t=8
t=8/2= 4
4. 53y-55= 42y
53y-42y=55
11y=55
y=55/11=5
hope it helps!
Answer:
1. 5m+4=7m+6
Step 1: Subtract 7m from both sides.
5m+4−7m=7m+6−7m
−2m+4=6
Step 2: Subtract 4 from both sides.
−2m+4−4=6−4
−2m=2
Step 3: Divide both sides by -2.
[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]
m=−1
_______________________________
2. −5x+3=2x−1
Subtract 2x from both sides.
−5x+3−2x=−1
Combine −5x and −2x to get −7x.
−7x+3=−1
Subtract 3 from both sides.
−7x=−1−3
Subtract 3 from −1 to get −4.
−7x=−4
Divide both sides by −7.
x= [tex]\frac{-4}{-7}[/tex]
[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.
x= [tex]\frac{4}{7}[/tex]
_____________________________
3. 5t−3=3t+5
Subtract 3t from both sides.
5t−3−3t=5
Combine 5t and −3t to get 2t.
2t−3=5
Add 3 to both sides.
2t=5+3
Add 5 and 3 to get 8.
2t=8
Divide both sides by 2.
t= [tex]\frac{8}{2}[/tex]
Divide 8 by 2 to get 4.
t= 4
___________________________
4. 3y−55=42y
Subtract 42y from both sides.
53y−55−42y=0
Combine 53y and −42y to get 11y.
11y−55=0
Add 55 to both sides. Anything plus zero gives itself.
11y=55
Divide both sides by 11
y= [tex]\frac{55}{11}[/tex]
Divide 55 by 11 to get 5.
y=5
What is the y-intercept of the equation?
Answer:
Step-by-step explanation:
The above equation is of the form y=mx+c
c is the y intercept so c=2
what is the monomial if a square of a monomial is 1/4a^2n
Answer:
Answer:
Answer:
1/2a^n
Step-by-step explanation:
Square of the monomial is
To get the monomial we take square root
Lets take square root for each term
because square root of 4 is 2
2/2 is 1 so, its a^n
Required monomial is
1/2a^n
Step-by-step explanation:
Answer:
(1/2a^n)^2
Step-by-step explanation:
what does this equal 50+80
also, what is 50+80
Answer: 50+80=130
I wasn’t really sure of what you were really asking, apologies.
Answer:
130 is your answer!
Step-by-step explanation:
50 + 80 can be put as 5 + 8 = 13 and then add a 0. You will get 130!
Why is 2020 edge so hard and annoying here is 14 points
Answer:
ty
Step-by-step explanation:
thanks for points have a good day sir
Answer:
ik right ughh
Step-by-step explanation:
Given point P(9,-11), what are the coordinates of P' after a 180⁰ rotation?
(9,11)
(-9,11)
(-11,-9)
(11,9)
Answer:
-9,11
Step-by-step explanation:
The negative signs get flipped so if the number was positive it would become negative and vice versa.
Answer:
(-9,11)
Step-by-step explanation:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST
Answer:
Hiii
Step-by-step explanation:
3. M=-3/4 B=4
6. M=-5/4 B=-2
Collect like terms/equations
1. -3x+5-6x
2. 21+4a-13
3. 21+4a-13
4. 15-10b+6b=-5
5. -20=4c+30-2c
Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how
much of her $20 she spent at the mall? Explain how you got your answer.
Answer:
jan spent 0.25, 1/4, or 25% of her money at the mall
any 3 of those answers are correct
Step-by-step explanation:
she spent $5 out of $20.
5/20 = 1/4
1/4 = 25% or 0.25
Hey guys happy holidays! any help is appreciated :)
HELP PLS IDK WHAT TO DO
Answer: hmmm i think u should multiply
Step-by-step explanation:
Answer:
gfbngfjhbfgnbfhbnng
Step-by-step explanation:
triangle vertices for A(-3,6)B(-5,4)C(-1,1)
Answer:
we can't graph for u on brainly sorry.