Answer:
The baby's rectangular room is 14 feet long and 12 feet wide
Step-by-step explanation:
Assume we set:
x=width of the room
y=length of the room
The width of the room is 2 feet less than the length:
[tex]x=y-2\qquad\qquad [1][/tex]
The total length of the wallpaper needed is the perimeter of the room. The formula for the perimeter of a rectangle is:
P=2x+2y
And the perimeter is equal to 52 feet:
2x+2y=52
Dividing by 2:
[tex]x+y=26\qquad\qquad [2][/tex]
Substituting x from [1]:
y-2+y=26
Simplifying:
2y-2=26
Adding 2:
2y=28
Solving:
y=28/2=14
y=14
Find x:
x=y-2=14-2=12
The baby's rectangular room is 14 feet long and 12 feet wide
Equivalent systems of two linear equations______
have the same solutions
A. always
B. sometimes
C. never
Answer:
B
Step-by-step explanation:
Its B i took the quiz and got it right so hope this helps u
How do you find the length of AC? Picture below
Answer:
12cm
Step-by-step explanation:
this is a right angle triangle
so taking 'b' as base, 'a' as perpendicular and 'c' is hypotenuse which is equal to 13cm
and 1 angle is given which 22.6 degrees
and we need to find out 'b' which is AC
so we have
sin(x)= perpendicular/hypotenuse
cos(x)= base/hypotenuse
tan(x)=perpendicular/base
cos(22.6) = base/hypotenuse=13
cos(22.6)*13 = base
0.9232*13 = base
base = 12cm
3(2x+1)+7=6x-3-2(2-4x)
What is x?
Give as an improper fraction in its simplest form
Answer:
Step-by-step explanation:
Use distributive property:a*(b +c) = (a*b) + (a*c)
3(2x + 1) + 7 = 6x - 3 - 2(2-4x)
3*2x + 3*1 +7 = 6x - 3x -2*2 + (-2)*(-4x)
6x + 3 + 7 = 6x - 3 - 4 + 8x
6x + 10 = 14x - 7
6x - 14x = - 7 - 10
-8x = -17
x = -17/-8
x = 17/8
Answer the question below!!! For brainliest!!
Answer:
4 students
Step-by-step explanation:
4 students are in the middle of the diagram, which means that they like all three colors evenly
Please answer, I desperately need your help! There's a great reward in store if you prove yourself to be of assistance!
Answer:
4
Step-by-step explanation:
SIKE HEHEHEHEHEHEHEHEHEHEHE
its 5 dummy
Challenge An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 80 students?
Step-by-step explanation:
T : S
5 : 95
1 : 19
Tu : S
6. : 48
1. : 8
10 : 80
There are 19 students per teacher.
There are 8 students per teacher.
The school will need 10 tutors if there is 80 students.
Select the choice that follows the correct sequence of steps in solving this inequality. 6x + 23 > -2x + 7
Answer:
x>2Step-by-step explanation:
6x+23>-2x+76x+2x>7-238x>16 divide 8 both sidex>2aswer.Find the 35th term of the sequence
Answer:
3552
Step-by-step explanation:
So, basically, you use the formula and plugin 37, the number of terms, into n.
So:
96(37)
96(37) = 3552
Hope this helps!
Please mark brainliest.
Can the sides of a triangle have lengths 7.6, 2.5, and 2.2?
Answer:
No.
Step-by-step explanation:
Given the following question:
[tex]7.6, 2.5, 2.2[/tex]
In order for any given sides to form a triangle it has to pass the triangle inequality theorem, which is the sum of any two given sides of the triangle has to be greater than the third side in order for it to be a triangle.
In this case...
[tex]7.6, 2.5, 2.2[/tex]
[tex]7.6 + 2.5 = 10.1[/tex]
[tex]10.1 > 2.2[/tex]
[tex]2.5+2.2=4.7[/tex]
[tex]4.7 < 7.6[/tex]
[tex]7.6 +2.2=9.8[/tex]
[tex]9.8 > 7.8[/tex]
Therefore, your answer is "no" the following sides do not form a triangle.
Hope this helps.
Final Question: What is the measure of x?
Angles are not necessarily drawn to scale.
Answer:
[tex]x=114[/tex]
Step-by-step explanation:
Since we know that a straight line is 180°, and we know that one of the angles is 66°, we can write a simple equation to figure this out: [tex]x+66=180[/tex] Then, to solve the equation all you would need to do is subtract [tex]66[/tex] from both sides to get [tex]x=114[/tex].
Can someone help me please?
Answer:
√28Step-by-step explanation:
The diagonal of a square is √2 times the side length.
1.For BD = 4, AD = 4/√2 and AE is half that, or 2/√2 = √2.
The length of AE is √2.
__
2.The area of the square is the square of the side length:
Area = AE² = (2√2)² = 8
_____
Additional comment
The area of a quadrilateral in which the diagonals are perpendicular is found to be half the product of the diagonal lengths. Here, that would be ...
1/2(4)(4) = 8 . . . square units
Determine whether the lines are parallel, intersect, or coincide.
Answer:
They intersect :)
Step-by-step explanation:
Hope this helps!
What is the relationship between the lines with the following equations?
2x+6y=12
y=3x−8
A) The lines are neither parallel nor perpendicular.
B) The lines are the same.
C) The lines are parallel.
D) The lines are perpendicular.
Answer:
D
Step-by-step explanation:
The answer is D because if you work the equations out the one m= - 1/3 and the other m=3
Please help me out And show work
Answer:
D
Step-by-step explanation:
because 4 quarters is 100 and 3 quarters is 75 so 4 and 3 quarters is 7 quarters and that would give you 175 so if you add both 200 and 175 that gives you 375
Jane's company makes solid metal balls for various industrial uses. A customer wants lead balls that have a diameter of 6 in. If Jane must make 80 of these balls, how much lead will she need? Use 3.14 for , and do not round your answer.
Answer:
9043.2 inches³
Step-by-step explanation:
the volume of a sphere is (4÷3)πr³
the radius is 6÷2=3
so each ball needs (4÷3)(3.14)(3)³=113.04 inches³ of lead
113.04×80=9043.2
A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material. Isosceles triangles K I T and K E T are connected at side K T. The length of K T is 10 inches. The length of sides K E and E T are 8 inches. The lengths of sides K I and I T are 6 inches. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch. 31 square inches 34 square inches 48 square inches 62 square inches.
The material needed for the kite is the area of the kite
The amount of material needed for the entire kite is 48 square inches
How to determine the amount of materialThe given parameters:
KI =6 inches
ET = 8 inches
KT=10 inches
Area of ΔKIT = 17 square inches
Start by calculating the area of the bottom triangle using:
Area = 0.5 * Base * Height
So, we have:
Area = 0.5 * KI * KT
This gives
Area = 0.5 * 6 * 10
Area = 30
The amount of material used is then calculated as:
Material = Area of the bottom triangle + Area of ΔKIT
This gives
Material = 30 + 17
Material = 47
This is approximately 48
Hence, 48 square inches of material is used for the entire kite
Read more about quadrilaterals at:
https://brainly.com/question/3183791
Answer:
The answer is 48 square inches or option C on EDG
Step-by-step explanation:
:)
help me ..............................
Answer:
what you have is correct the last answer is 14. You just have to do 4 x 3.5 = 14
MARKING BRAINLIEST!
Two numerical patterns are shown below:
Pattern A: 6, 12, 18, 24, 30
Pattern B: 12, 24, 36, 48, 60
Select the statement that describes the numerical patterns.
A. The rule for Pattern B is "multiply by 2."
B. The rule for Pattern A is "multiply by 2."
C. Each term in Pattern B is one half the corresponding term in Pattern A.
D. Each term in Pattern A is one half the corresponding term in Pattern B.
Answer:
D
Step-by-step explanation:
Use the algebra tiles to model x – 2. Then choose the answer that describes the correct tiles. One blue x tile and two orange tiles one orange x tile and two blue – tiles one blue x tile and two blue – tiles one orange x tile and two orange tiles.
The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
What are algerbra tiles?
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x -2.
Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.
Using algebra tiles provides a more visual way for us to solve our problems.
The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
Hence, the correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
To know more about algerbra tiles click the link given below.
brainly.com/question/81876
Answer:
its B
Step-by-step explanation:
3/4 cup juice per 2/3 cup sugar, find cups juice per cup sugar
Answer:
9/8
Step-by-step explanation:
divide 3/4 by 2/3
use the KCF method
so your gonna get 3/4 divided 2/3 then change the division to multiplcation and then flip the 2/3 to 3/2
now multiply across: 3/4 × 3/2=9/8
EXTRA POINTS! You scored 74, 88 and 82 on three tests. Write and solve an inequality to find the minimum score you need
to earn on the fourth test so that your mean test score is at least an 84. Please show process!
Answer:
You would at least a 90 to average out your score to an 84
but I dont know how to get the inequality sorry
I hoped this helped a little
Step-by-step explanation:
Fisrt you will need to find the average of the numbers by adding them up and dividing by 3 ( because there are 3 numbers )
which would give you 81
then you have to get at least above an 81 to make it go higher but you may have to do a little more than that there for 90 is what you need
2 1/3 - 1/3
Easy question
Answer:
the answer is 2
Step-by-step explanation:
just subtract 2 -
Answer plsssssssssssssss
Answer:
the answer is 3
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Isabella has found that she stays the fittest by running various distances and terrains throughout the week. On Mondays she runs 2.5 miles, on Tuesdays 4.6 miles, on Thursdays 6.75 miles, and on Saturdays 4.8 miles. What is the average distance Isabella runs on each of the days that she runs? Round to the nearest hundredth of a mile
Answer:
4.59milesStep-by-step explanation:
Given that the total number of days she run is
monday, tuesday, thursday, saturday= 4
and the number of miles is
2.5,4.6,6.75,4.8
the total number of miles is
2.5+4.6+6.75+4.8=18.35 miles
the average is given as = total miles/number of days
average= 18.35/4
average= 4.587
to the nearesth hundreth
average= 4.59miles
Four numbers are written in a row. the average of the first two is 21, the average of the middle two is 26, and the average of the last two is 30. what is the average of the first and last of the numbers?
will give brainliest
(a) 24. (b) 25. (c) 26. (d) 27. (e) 28.
Using the 3 given means, we can see that the mean of the first and last digits is 25, so the correct option is b.
What is the average of the last two numbers?We have 4 numbers:
a, b, c, d.
We know that:
(a + b)/2 = 21(b + c)/2 = 26(c + d)/2 = 30And we want to get
(a + d)/2
We can write this as:
(a + b)/2 - (b + c)/2 + (c + d)/2 = 21 - 26 + 30 = 25
The correct option is b.
If you want to learn more about means you can read:
https://brainly.com/question/14532771
What is the math answer 1/8 x 1/3?
Answer:
1/8 x 1/3 = 1/24 :)
Step-by-step explanation:
Answer:
1/24
Step-by-step explanation:
take
1/8 x 1/3
so 1x1 = 1
1/
then 8x3=24
1/24
Brainliest will be named if answer is correct
Answer: Choice D)
6 unit cubes and 18 smaller cubes of volume 1/27 cubic inches
=========================================================
Explanation:
Block A = unit cube that has side length of 1 inch
Block B = cube that has side length 1/3 inch
Block B has a volume of (1/3)*(1/3)*(1/3) = 1/27 cubic inches
If we have 180 of block B, then
180*(1/27) = 180/27 = 6.6667 approximately
The first 6 before the decimal point tells us we have 6 block A's. This is the same as saying that we have 6 cubic inches so far.
The 0.6667 at the end means we have 0.6667*27 = 18.0009 = 18 block B's
So we have 6 unit cubes (block A) and 18 smaller cubes (block B) that have a volume of 1/27 cubic inches
--------------
Another way to look at it
180/27 = (162+18)/27
180/27 = 162/27+18/27
180/27 = 6+18/27
180/27 = 6 remainder 18
The last line can also be found through using long division.
The 6 refers to 6 unit cubes and the remainder 18 is the left over 18 smaller blocks.
starting at (0,0 0 if you were to go 10 units left and 6 units up what coordination would you end up a
Answer:
(-10, 6)
Hope this helps! Please mark Brainliest!
help please i am struggling
Answer:
your x point is 2
Then, to help you for y=2x just make a table of values
So for y=2(1) y=2, y=2(2) y=4, y= 2(3) y=6
So theres 3 points to start which gives you a hint that each point goes up two times. (0,0) (1,2) (2,4) (3,6)
From the picture attached you can the y intercept is (2,4)
Please help me ASAP ...
Answer:
statements is 1,3,7,8 and reasons are 2, 4, 5, 6
Step-by-step explanation:
Answer:
<4 ~= <8 - Corresponding Angles Theorem
<2 ~= <8 - Alternate Exterior Angles Theorem
<2 ~= <4 - Vertical Angles Theorem
line I || line m - Transitive Property