Answer:
y = 5
Step-by-step explanation:
The diagonals of the isosceles EFGH are equal. Therefore:
EG = FH
EG = 3y + 19
FH = 11y - 21
Thus:
3y + 19 = 11y - 21
Collect like terms
3y - 11y = -19 - 21
-8y = -40
Divide both sides by -8
y = 5
What is the constant of proportionality in this table?
Answer:
k = 10
Step-by-step explanation:
X progresses by 25, while y progresses by 250.
So divide 250 ÷ 15 and your answer is 10.
27x + 30x - 17x =400 + 80
solve for x show your work
Answer: X = 12
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
27x+30x−17x=400+80
27x+30x+−17x=400+80
(27x+30x+−17x)=(400+80)(Combine Like Terms)
40x=480
40x=480
Step 2: Divide both sides by 40.
40x
40
=
480
40
x=12
Answer:
x=12
Answer:
The classes at the middle school want to raise money.
The sixth grade runs a bake sale for 5 hours and makes $170.
The seventh grade sets up a dunking booth for 4 hours and makes $112.
The eighth grade has a car wash and makes $192 in 6 hours.
Which class has the highest rate for raising money?
Seventh grade
Sixth grade
Eighth grade
All classes had the same hourly rate.
Answer:
This is a multiple step question. Before you can answer it you must find what it is asking, which is the highest rate for making money, or the greatest rate of change. To compare the rate of change between each grade, you must first have them in common units, which can be done by finding how much money was made by each grade in one hour. To find this, divide the number of dollars made by the number of hours it was made in to get how much was made in one hour. Doing this shows that the sixth grade made 34 dollars an hour (170 divided by 5), seventh made 28 dollars an hour (112/4), and the eighth grade made 32 dollars an hour (192/6). Then compare the numbers to see that the greatest amount earned in one hour was 34 dollars, by the sixth grade, which then becomes your answer: The sixth grade had the highest rate for raising money.
Are the ratios 1:2 and 2:3 equivalent?
Answer:
Step-by-step explanation:
No
Answer:
No, Picture it as fractions. 1:2 is the same as 1/2, and 1:3 the same as 1/3
Please help me with this :,)
Answer:
alright gotcha!
Step-by-step explanation:
I am attaching the photo gimme some time
Anna can buy 5 sweatshirts for a total of $75. How much would it could it cost if she were to buy 2 sweatshirts at the same price
Answer:
$75
Step-by-step explanation:
(45 / 3) x 5 = 75
To find the amount of money for each t-shirt, divide 45 by 3.
45 / 3 = 15
To find out the price of 5 t-shirts, multiple 15 by 5.
15 x 5 = $75
$75 is your answer :)
What is | -7.9 ?
help
find the area or this triangle
Answer:
Area of triangle = 15 square units
Step-by-step explanation:
We need to find area of the triangle, given the vertices:
A=(4,0)
B=(1,5)
C=(7,5)
The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]
We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]
Putting values and finding area
[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]
We will be ignoring negative sign, because area of triangle is positive.
So, Area of triangle = 15
10% of ________ is 7
25% of ________ is 6
Answer:
I got
10% of 70 is 7
Answer:
First one is 70
Second one is 24
Step-by-step explanation:
First one :7*100=700
700÷10=70
The second one :6*100=600
600÷25=24
Kennedy is working two summer jobs, making $11 per hour babysitting and making $8 per hour clearing tables. In a given week, she can work at most 17 total hours and must earn no less than $160. If x represents the number of hours babysitting and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .
What is linear programing problem?Linear programing problem is" a system of process of finding maximum or minimum value of any variables".
What is inequalities?Inequalities is statement of an order relationship, "greater than or greater than or equal to, less than or less than or equal to between two numbers or algebraic expressions" .
According to the question,
Let 'x' represents the number of hours clearing tables and 'y' represents the number of hours clearing tables.
maximum of z =11x+8y
x + y ≤ 17 → (1)
11x +8y ≥ 160 → (2)
Using graphical method, we can solve this Linear programing problem(LPP).
In inequality(1) put x=0, we get y=17 and y=0, we get x=17 therefore in equation (1) we get (17,17) draw this point on graph.
In inequality(2) put x=0 we get y=20 and put y=0 we get x=14.54 from equation(2) we get (14.54,20) draw this point on graph.
To find maximum value of z solve this equation
x + y =17 →(3)
11x +8y =160 →(4),
multiply (3) by 8 we get, 8x+8y=136 and subtract the equation (3) from the equation (4)
11x+8y=160
8x+8y=136 [multiply by(-) on both sides]
we get x=3 substitute this 'x' value in equation (3)
3+y=17
y = 14.
The maximum z = 11x+8y
z = 11(3)+8(14) [substitute (3,14)]
maximum z =145.
Hence, using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .
Learn more about Linear programming problem here
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You roll a six sided die . What is the probability that the value of the roll will be a two or six ?
Answer:
2 out of 6
Step-by-step explanation:
I think its this because out of the 6 sides you are hoping that two of the outcomes are true
A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
15.69 feet
18.01 feet
27.89 feet
36.72 feet
Answer:
hope this helps, brainlist? (OwO)
Step-by-step explanation:
I think the answer is 27.89 feet, C
The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Lenght of the ladder = 32 foot
The angle formed between the ladder and the ground = 29.37°
The ladder, wall of the building, and the ground are making a right-angle triangle.
Let's suppose the base of the ladder is x feet far from the building.
Applying the Cos ratio to find the value of x:
[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]
x = 27.887 feet or (Cos29.37° = 0.871)
x = 27.89 feet
Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.
Know more about trigonometry here:
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517 37/50 + 312 3/100
Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
_____Includes avoiding action,
avoiding blame, and avoiding
change
Select one
a. Ingratiation
b. Impression management
c. Defensive behaviour
d. Resource management
= Defensive behaviour
Step-by-step explanation:
defensive behaviour Includes avoiding action,
avoiding blame, and avoiding
change
Translate and solve: fifty times n is at most 500.
Answer:
n must be less than or equal to 10
Step-by-step explanation:
need help asap please
Answer:
31°
Step-by-step explanation:
<Y + <X = 180° [being co-interior angles ]
s + 91° + 2s - 4° = 180°
3s + 87° = 180°
3s = 180° - 87°
3s = 93°
s = 93° /3
s = 31°
Hope it will help you :)❤
Answer:
[tex]\displaystyle 31[/tex]
Step-by-step explanation:
Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:
[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]
I am joyous to assist you at any time.
Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is
approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she
earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of
$4.10. Assume that D and L are independent random variables.
What is the probability that Lynnetta will earn more than $110 in a randomly selected week?
0.034
0.097
0.249
0.966
Answer:
its a
Step-by-step explanation:
i guessed on edge lol
A certain lottery has 31 numbers. In how many different ways can 4 of the numbers be selected?
What is the decimal Expansion of the following fraction?
Answer:
B
Step-by-step explanation:
1/25 = 0.04 only. this is surely the anwer
Bernard designs motorized bicycles at Smart Gear Technologies. His total earnings are
$54,000 this year. Bernard pays $201 in payroll taxes for every $1,000 he earns.
What is Bernard's net income for this year?
Answer:
600
Step-by-step explanation:
A planner assembles party favor bags filled with glow sticks and temporary tattoos for a client. There are 24 glow sticks and 30 temporary tattoos to divide evenly among the bags.
If there are no leftover items, what is the greatest number of bags the planner can assemble
Answer: The greatest number of bags is 6.
Step-by-step explanation:
In each bag, there would be 4 glow sticks and 5 tattoos, which is the greatest number that can be put in each bag without having any left.
y
is inversely proportional to
x
.
When
y
=
30
,
x
=
4
Work out
x
when
y
=
20
Step-by-step explanation:
I think it might be enough to help you.
Plz help. 3y + 6 = -2x
aight man plz help me lol
SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!
Answer:
Option A: 8 yards
Step-by-step explanation:
From the given graph, we have;
Coordinate of point A = (1, -4)
Coordinate of point B = (-3, 3)
Now,he threw baseball from point A to point B.
Distance between two coordinates is;
√((y2 - y1)² + (x2 - x1)²)
AB = √((3 - (-4))² + (-3 - (1))²)
AB = √(7² + (-4)²)
AB = √(49 + 16)
AB = √65 yards
AB = 8.06 yards
Approximating to a whole number gives;
AB ≈ 8 yards
Pls pls pls help ,,,,,,,,
Answer:
72 (d)
Step-by-step explanation:
I did the math
Any method to solve the quadratic equetion below over the set of complex numbers.
2x(x+6)=(x-4)(x+3)
A person invested $30,000 in stocks and bonds. Her investment in bonds is $3000 more than half her investment in stocks
How much did she invest in stocks? How much did she invest in bonds?
Answer:
He invested in stocks Say, = x $
He invested in bonds = (x/2)+6000
So,
x+ x/2 +6000=30000
2x+x+12000=60000
3x= 48000
x=16000
Investment in stocks= 16000 $
Step-by-step explanation:
!!
Answer:
$ 3 0 , 0 0 0 in Stocks
$ 2 7 , 0 00 in Bonds
Step-by-step explanation:
$ 3 0 , 0 0 0
- $ 3 , 0 0 0
_ _ _ _ _ _ _ _ _ _
$ 2 7 , 0 0 0
What is the slope of the line in the graph?
5
W
4
3
3 2 1
2 3 4 5 X
-5 -4 -3 7-11
-2
-3
-5
1
Answer:
the slope of this line is 1
Answer:
The slope of this line is 1
What is the equation of a parallel line to y=-5x+2 that passes through the point (-1, 4)?
Answer:
y=-5x-1
Step-by-step explanation:
If parallel lines, then the slope is the same.
y=-5x+b
To solve for b, plug in (-1,4)
(4)=-5(-1)+b
4=5+b
-1=b **Subtract 5 from both sides**
y=-5x-1