Answer:
x = 2 and y = 7
Step-by-step explanation:
The given equations are :
[tex]y^2+x^2=53\ ....(1)\\\\y-x=5\ ...(2)[/tex]
Squaring both sides of equation (2)
[tex](y-x)^2=5^2\\\\y^2+x^2-2xy=25\\\\53-2xy=25\ \text{from equation (1)}\\\\2xy=53-25\\\\2xy=28\\\\xy=14\ ...(3)[/tex]
Put the value of y from equation (2)
[tex]x(5+x)=14\\\\5x+x^2-14=0\\\\x=2[/tex]
Put the value of x in equation (2)
y-x = 5
y = 5+x
= 5+2
= 7
Hence, the solution of the given equations are (2,7).
A pan of lasagna is cut into twelfth. After a picnic .Mr Nelson has 8/12 of lasagna left .He wants to put the pieces that he cut in small containers, two pieces in each container. What equivalent fraction represents the amount of lasagna left over
Answer:
2/3
=8÷4
---------=2/3
12÷4
convert the following to slope-intercept form
x+2y=6
Answer:
3
Step-by-step explanation:
3Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = -x + 6. If we then divide each term by 2, we get the final result of y = -1/2x + 3. Here we see that the slope (m) is equal to -1/2, and the y-intercept is 3
PLZ HLP ME At a carnival, the probability that you chose a winning rubber duck from 30 ducks is 0.20.
How many are not winning ducks?
Answer:
hello
Step-by-step explanation:
Answer:
24 arent winning ducks
Step-by-step explanation:
If 4 cubic yards is "one load", how many loads of dirt must be moved to make a hole 30 feet
long, 25 feet wide, and 8 feet deep?
Answer:
Step-by-step explanation:
What is the volume of a box with width
2
inches, length 3.5 inches, and height 2 inches?
Plsss help
Answer:
14
Step-by-step explanation:
So all you gotta do is follow the formula LxWxH and so 2x3.5x2 which is 14.
The functions f(x) and j(x) are graphed below. If j(x)=f(x+k), what is the value of k
Answer:
The value of k is:
k=6
Step-by-step explanation
Kristi had $7.00 when she went to the store. When she got back, she had $2.36. How much did she spend?
Part B: What percent of her money did she spend?
Answer:
A: $4.64
B: About 34%
Step-by-step explanation:
A: Subtract 7-2.36
B: 2.36(100)= 236
236/7 =33.714285
Then estimate
Kelly has save $35 to take music classes. She must pay a registration fee of $15 and then an additional $5 for each class. Which equation will Best help kelly determine the number of classes she can afford
Answer:
15+5x=35
Step-by-step explanation:
What’s the answer?
Answer choices:
One real solutions
Two real solutions
No real solutions
Answer:
1. Two real solutions
2. Two real solutions
3. One real solutions
4. Two real solutions
5. Two real solutions
Tucker's bedroom is a rectangle that measures 3
5
6
yards by 4
1
6
yards. His dad buys two area rugs that each have a length of 4 yards. Rug one has an area of 16
35
36
square yards. Rug two is 15 square yards.
Which rug will fit Tucker's room?
Answer:
my teacher has cancer please help her at #snowmanchallenge
Step-by-step explanation:
try to spread the help every snowman is ten dollars for her
If in one batch of cookies, you used 6 cups of dough and 2 cups of chocolate chips. How many cups of chocolate chips will you need to make two batches of cookies?
Answer:
12 cups of dough, 4 cups of chocolate
Step-by-step explanation:
Please help!!! Will give brainliest!!! The answer options are
A. When they each make 10 calls
B. When they each make 8 calls
C.when they each make 6 calls
D.When they each make 2 calls
Answer:
A
Step-by-step explanation:
It is A, when they each make 10 calls.
This is because on the graph, you can see that they meet up (after the y-intercepts) at the x-axis of 10.
Hope this helped!
Greater than or less than the base?
Answer:
I think grater then?
Step-by-step explanation:
-8 X-3x = -6 + 5 x
How to solve
Answer:
x = 7
Step-by-step explanation:
3x-5=x+9 (Adding 5 and -x to both signs of = Sign)
2x = 14
x = 7
the monthly rents for five apartments advertised in a newspaper were $700, $700, $770, $1750, and $860. use the mean, median, and mode of the rents to answer the question. which value gives the average rent?
Answer:
Step-by-step explanation:
Simplify: 18q2−45q+25/9q2−25.
Answer:
[tex]\frac{(6q-5)}{(3q+5)}[/tex]
Step-by-step explanation:
Given: [tex]\frac{18q^{2}-45q+25 }{9q^{2}-25 }[/tex]
Factorizing the numerator and the denominator, we have:
18[tex]q^{2}[/tex] - 45q + 25 = 18[tex]q^{2}[/tex] - 30q - 15q + 25
= (3q - 5)(6q - 5)
and
9[tex]q^{2}[/tex] - 25 = (3q - 5)(3q + 5)
So that,
[tex]\frac{18q^{2}-45q+25 }{9q^{2}-25 }[/tex] = [tex]\frac{(3q-5)(6q-5)}{(3q-5)(3q+5)}[/tex]
= [tex]\frac{(6q-5)}{(3q+5)}[/tex]
Therefore,
[tex]\frac{18q^{2}-45q+25 }{9q^{2}-25 }[/tex] = [tex]\frac{(6q-5)}{(3q+5)}[/tex]
M
2
M-4=28
Your answer
Answer:
If we are solving for M than M is 32
Step-by-step explanation:
100 points! Will give brainliest! My grade depends on this!
A staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
I tried very hard and got an f on this. I dont understand trigonometry, please help.
Answer:
a) 10 inches. b
b) 144
Step-by-step explanation:
Classify the following triangle. Check all that apply.
121/
11
59-
70
10
OA. Equilateral
OB. Right
Oc. Acute
DD. Scalene
OE. sosceles
F Obtuse
Answer:
Scalene and Acute
Step-by-step explanation:
We know that,
A scalene triangle is a triangle whose none of the sides are equal in measure.
A triangle is acute if all of it's angle measure below 90 degree.
Here,
The sides of the given triangle are 12.1,11,10 and 12.1≠11≠10, due to which the triangle is scalene.
All the angles of the given triangle are 51,59,70 and 51,59,70<90, Hence, the given triangle is acute
Susan ate 1/6 of a pumpkin pie. Joseph ate 3/4 of the same pumpkin pie. How much pie is left
Answer:
1/12 of the pumpkin pie is left.
Explanation:
To solve this you have to add 1/6 and 3/4, but in order for you to do that, you have to change each of the fraction so they have the same denominator. To do this you have to find out what number 6 and 4 can both go into, which is 12. So since you know that 6 times 2 is 12, you would multiply two to both the numerator and denominator, and get 2/12 as the result. Next, you have to the same thing to 3/4, except since 4 times 3 is 12, you would multiply 3 to both the numerator and denominator instead, so you should get 9/12. The final thing that you have to do in order to get your answer is add 2/12 and 9/12 which would be 11/12. Since you know that 11/12 is how much Susan and Joseph ate, the remaining 1/12 is how much of the pie is left.
I hope this helped you :D
C.
3a(-3b)(-4c)(-1)?
Answer:
-36abc
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
When we simplify the expression 3a(-3b)(-4c)(-1), the result obtained -36abc
Data obtained from the question3a(-3b)(-4c)(-1)Simplification =?How to simplify the expressionThe expression 3a(-3b)(-4c)(-1) can be simplified as follow
3a(-3b)(-4c)(-1)
Clear bracket by multiplying as shown below
3a × -3b × -4c × -1
-36abc
Thus,
3a(-3b)(-4c)(-1) = -36abc
Learn more about algebra:
https://brainly.com/question/2768008
#SPJ9
????!! Someone please explain this
Answer:
$24
Step-by-step explanation:
First, find the cost to cover one pair of shoes.
Cost to cover one pair of shoes = surface area of the shoe box × cost per square inch
= 2(LW + LH + HW) × 0.02
L = 14 in.
W = 8 in.
H = 4 in.
Plug in the values
Cost to cover one pair of shoes = 2(14*8 + 14*4 + 4*8) × 0.02
= 2(112 + 56 + 32) × 0.02
= 2(200) × 0.02
= 400 × 0.02 = 8
Cost to cover one pair of shoes = $8
Cost to cover 3 pairs of shoes = 3*8 = $24
Urgent!! Math help!!
Answer/Step-by-step explanation:
Problem 1:
Reference angle = 36°
Opposite = x
Adjacent = 7
Thus, apply trigonometric ratio as follows:
tan 36 = x/7
Multiply both sides by 7
7 × tan 36 = x
x = 5.09 (nearest hundredth)
Problem 2:
Reference angle = 63°
Opposite = 12
Hypotenuse = x
Thus, apply trigonometric ratio as follows:
Sin 63 = 12/x
Make x the subject of the formula
x = 12/sin 63
x = 13.47 (nearest hundredth)
How do I find the x and the y
Answer:
x = 22
y = 35
Step-by-step explanation:
Because its an isosceles triangle, you know the base angles are equal so:
[tex]3x - 11 = 2x + 11[/tex]
Solving:
subtract 2x from both sides
[tex]x-11=11[/tex]
add 11 to both sides
[tex]x = 22[/tex]
Next, find the angle measures of the two base angles:
[tex]3*22-11\\66-11\\55[/tex]
To find y, you know that the interior angles of the whole triangle add up to 180, so you have
[tex]55 + 55 + 2y = 180[/tex]
solving,
[tex]110 + 2y = 180[/tex]
subtract 110 from both sides
[tex]2y = 70[/tex]
divide both sides by 2
[tex]y = 35[/tex]
Answer:
x =22°
y =35°
Step-by-step explanation:
3x-11 = 2x+11
then x =22°
and 2y = 180-(55+55)
2y = 70
y = 45°
Joràni flips two standard American quarters. How many ways can she get at least one head?
Hint Let A = {possible outcomes from coin 1} = {heads, tails; and let
{possible outcomes from coin 2} = {heads tails)
A 1
B. 2
C. 3
D. 4
Answer:
A.1
Step-by-step explanation:
If there are only to sides to a quarter than you have a 50 50 chance, or 1:2
Solve for x 9x=-81
X=-90
X=-72
X=-9
X=-8
Answer:
x = -9
Step-by-step explanation:
hope this was helpful!! c:
Answer:
x= -9
Step-by-step explanation:
9x/9= -81/9
x= -9
Twenty six students. They have 8 cars and the car hold 3 kids. How many kids will not have a ride
Answer:
2
Step-by-step explanation:
3*8=24
Solve the equation.
5.16 = 4n
Show your work.
Answer:
5.16=4n
Step 1: Flip the equation.
4n=5.16
Step 2: Divide both sides by 4.
4n/4= 5.16/4
anwers n=1.29
Step-by-step explanation:
I hope this help ;-)
A survey of the men in a certain town showed that 40% of the men have blond hair and 18 % of them have blond hair and blue eyes. The probability that a randomly selected man has blue eyes, given that he has blond hair, is %.
Answer:
18 percent
Step-by-step explanation:
Answer:
If you are given he has blond hair, so the total probability will be 35%. And among them, he needs to have blue eyes, its probability is 14% among the 35%. So the final probability is 14%/35%=40%.
Step-by-step explanation:
Solve for x
Please help
Step-by-step explanation:
[tex] \frac{x}{x + x + 6} = \frac{9}{30} [/tex]
[tex] \frac{x}{2x + 6} = \frac{9}{30} [/tex]
30x = 9(2x+6)
30x = 18x+54
30x-18x = 54
12x = 54
x = 54/12
= 27/6
