Answer:
x < 6
Step-by-step explanation:
Distribute the 2 to the parentheses:
2(x − 3) < 6
2x - 6 < 6
Solve for x:
2x < 12
x < 6
So, x < 6 is the answer.
What is the area of the trapezoid?
Answer:
A=30
Step-by-step explanation:
A=a+b
------- x h
2
3+7
------- x 6
2
10/2=5
5 x 6 = 30
Find the least whole number N so that 2020 + N is exactly divisible by 11.
2020 + N ≡ 0 (mod 11)
N ≡ -2020 (mod 11)
Notice that 2020 = 183 • 11 + 7, so
N ≡ -(183 • 11 + 7) (mod 11)
N ≡ -7 (mod 11)
N ≡ 4 (mod 11)
[tex]N=4[/tex]
Step-by-step explanation:
Given :
Whole Number = N
Number = 2020 + N
Solution :
Now through observtion,
[tex]\dfrac{2020+N}{11}=184[/tex] ----- (1)
We took 184 because when we multiply 184 by 11 we get the nearest number to 2020
So from equation (1),
[tex]N=2024-2020[/tex]
[tex]N=4[/tex]
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-x/6 +10 = 11
I need the value for x it’s either
-6 or 6
Answer:-6
Step-by-step explanation:
use pathway with a m
Select all the correct answers.
Which sequences of transformations performed on shape I show its congruency to shape II?
a reflection across the x-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units right
a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
Answer:
A.a reflection across the x-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
and
C. a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
Step-by-step explanation:
What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?
A.) acute scalene triangle
B.) right isosceles triangle
C.) equiangular equilateral triangle
D.) obtuse scalene triangle
Answer:
D.) obtuse scalene triangle
Step-by-step explanation:
acute triangle: 3 acute angles
right triangle: 1 right angle, 2 acute angles
obtuse triangle: 1 obtuse angle, 2 acute angles
scalene triangle: no congruent sides
isosceles triangle: 2 congruent sides
equilateral triangle: 3 congruent sides
The question is:
"What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?"
That means scalene and obtuse.
Answer: D.) obtuse scalene triangle
The triangle is an obtuse scalene triangle, the correct option is D.
What is a Triangle?A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides,
When the measure of all the angles of a triangle is less than 90 degree, it is an acute angle triangle.
When the measure of one of the angle of a triangle is equal to 90 degree, it is a right angled triangle.
When the measure of one of the angle of a triangle is greater than 90 degree, it is called an obtuse angle triangle.
When the measure of all side is different, it is a scalene triangle.
When the two side of a triangle is equal, it is an isosceles triangle.
When all the sides of a triangle is equal, it is an equilateral triangle.
The condition given in the question is triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°, it is an obtuse scalene triangle.
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Simplify: 8p²q²r² - 7p²q²r² + q²r²
Answer:
8p²q²r² - 7p²q²r² + q²r²
Step-by-step explanation:
U is the midpoint of TV. TU = x2 + 2x – 2. UV = -x + 8. Find the
positive value of x.
Answer:
x = 2
Step-by-step explanation:
It is given that,
U is the midpoint of TV.
TU = x² + 2x – 2
UV = -x+8
We need to find a positive value of x.
For midpoint,
TU = UV
Putting values,
x² + 2x – 2 = -x+8
or
x² + 2x – 2+ x - 8= 0
x² +3x-10 = 0
x² +5x - 2x -10 = 0
x(x+5) -2(x+5) = 0
(x-2) (x+5) = 0
x = +2 and x = -5
Hence, the positive value of x is 2.
Ng Order of Operations George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money. 15 - 9 + 2.65 + 1.35 + 2(1.74) Use the order of operations to simplify this expression.
Answer:
No, George does not have enough money to buy everything.
The correct expression is:
15 - 9 - 2.65 - 1.35 - 2(1.74)
Step-by-step explanation:
Given that:
Money present with George initially = $15
Money required to see the movie = $9
Money required to buy a pretzel = $2.65
Money required to buy a drink = $1.35
Money required to buy 2 veggie cups = $2(1.74)
To find:
Whether there is enough money with George to complete all the tasks.
Solution:
First of all, let us calculate all the money required and then we can subtract all the money from the initial amount to find whether there is enough money present with George.
If the result is in positive, there is enough money with George.
Total money required for all the activities = $9 + $2.65 + $1.35 + $2(1.74) = $16.48
Expression = $15 - $16.48 = -$1.48
The result is negative, therefore there is not enough money.
The correct expression is:
15 - 9 - 2.65 - 1.35 - 2(1.74)
Write the equation in slope-intercept form. Do not use any spaces. Make sure your answer looks like y=mx+b. Y + 6 = 3(x - 4) *
Answer:
y = 3x+ 18
Step-by-step explanation:
Given the expression y + 6 = 3(x-4), we are to express in the form y = mx+b
Open the bracket
y + 6 = 3(x-4)
y+6 = 3x-12
Collect the like terms;
y - 3x = -12 - 6
y - 3x = 18
y = 3x + 18
Hence the required equation in slope-intercept form is y = 3x+ 18
Perry connects a blue garden hose and a green garden hose to make one long hose. The blue hose is 10.5 feet. The green hose is 11.75 feet. How long is the combined hose? The combined hose is feet long.
Answer:
22.25 ft long
if you add 10.5 with 11.75 you'll get 22.25
Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke’s mean score increased.
Answer:
B: 90
d: 86
e: 92
Step-by-step explanation:
edg2020
The area of a square can be represented by the expression x10. Which monomial represents a side of the square? x2 x5 x20 x100
The side of the square is [tex]x^5[/tex].
Area of squarearea of a square = (side)² = a²,
Exponent properties[tex](a^m)^n = a^{m+n}[/tex][tex](\sqrt a)^n = a^{(-2+n)}[/tex]Given to usarea of a square = [tex]x^{10}[/tex]
Side of the SquareEquating it with the general formula of square
[tex]\rm {Area\ of\ square}={Area\ of\ square}[/tex]
[tex]x^{10} = a^2[/tex]
Taking square root on both sides,
[tex]\sqrt{x^{10}} = \sqrt{a^2}\\\\a=\sqrt{x^{10}}[/tex]
[tex]a = x^5[/tex]
Hence, the side of the square is [tex]x^5[/tex].
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The monomial which represents a side of the square is; x⁵
Area of a square
The area of a square is a 2-dimensional quantity and can be evaluated by the formula;
Area = l².Hence, the length of the sides of the square is;
l = √A.According to the question, the given area is x¹⁰.
Therefore, the length of each side is;
l = √x¹⁰ = (x¹⁰)^1/2l = x⁵.Read more on area of a square;
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Which real-world story is represented by the problem (-15.85) + 26.58? Check all that apply. (A) Chey returned a CD that cost $15.85 and bought a shirt for $26.58. The sum is the amount the store owes him. (B) Chey returned a jacket that cost $26.58 and bought a book for $15.85. The sum represents the amount the store owes him. (C) Chey bought a shirt that cost $26.58 and a CD that cost $15.85. The sum represents his change. (D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
Answer:
(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
Step-by-step explanation:
Which real-world story is represented by the problem (-15.85) + 26.58?
Comparing the options given below,
The correct option is
(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
This is because, buy a hat that cost $15.85 = -15.85
He has a balance is $26.58 on his credit card.
Hence: $26.58 - $15.85
Hence, option D is correct
Answer:
B & D
Step-by-step explanation:
plz help me The temperature at noon was 22°. From 6 AM until noon, the temperature changed by an average of 5° per hour. What WAS the temperature at 6 AM?
Answer:
-8° OR 52°
Step-by-step explanation:
Remember 22.
Now, you'll need to take 12 PM and see how many hours it is from 6 AM to 12 PM noon: 6-7, 7-8, 8-9, 9-10, 10-11, 11-12. We have 6 hours from 6 AM to 12 PM.
The problem gives us the average number of degrees it changed: 5. Since it doesn't specify HOW it changed, there are 2 answers.
In order to find the number of degrees it changed, we have to take the hours times the amount given, or in this case, 6 x 5 which equals 30.
Now that we know the fluxation number, we can either add or subtract 30 from the degrees given at noon.
So, 22 - 30 = -8 AND 22 + 30 = 50.
I hope that helps! :)
Can someone help? I’m not the best at algebra
8/3
also use math_way its helpful
without the "_"
Step-by-step explanation:
Answer:
D- 4/3
I already knew the answer, but I found this explanation on another website..
x^3=64/27
x = 3√(64/27)
x= 4/3
Have a nice day :D
Also, may I have Brainliest if someone else answers??
Find the area of the square ABCD
Step-by-step explanation:
Area of Square ABCD = 10m * 10m = 100m².
Answer:
Area of Square ABCD = 10m * 10m = 100m².
Step-by-step explanation:
Hope this helped have an amazing day!
Two trains leave the station at the same time, one traveling due east, the other due west. After 46 minutes, they are 140 miles apart. If one train's speed is 20 mph more than the other train's, what are the speeds of the two trains.
Train A speed = x + 20
Train B = x
We know that 46 minutes is 23/30 of an hour.
Use D = rt
Take it from here.
Which of the following are types of variations?
Direct
Inverse
Variable
Combined
Joint
Step-by-step explanation:
There are many different types of variations as follows:
1) Direct variations in which the relationship between two different variables is direct.
2) Inverse variations in which the relationship between two different variables is opposite.
3) Joint variations in which the relationship between one variable varies directly with the product of two or more variables.
4) Combined variations in which one variable is directly proportion to second variable but inversely proportion with third variables.
option 'A', 'B', 'D' , 'E' are correct.
If three pounds of apples cost $5.25, how much will 10 pounds cost?
show work!!!!
please help
Answer:
10 pounds will cost $17.50
Step-by-step explanation:
(5.25 / 3) * 10 = x
1.75 * 10 = x
17.50 = x
Answer:
10 pounds of apples will cost $17.50.
Step-by-step explanation:
First, we need to find the unit rate.
$5.25/3 = $1.75
Now we need to multiply $1.75 by 10 pounds.
$1.75 × 10 = $17.50
с
6 yd
8 yd
What is the length of the hypotenuse?
C =
yards
Answer:
10 yds
Step-by-step explanation:
Pythagorean Theorem is [tex]A^{2} +B^{2} =C^{2}[/tex]
So, [tex]6^{2} +8^{2} =C^{2}[/tex]
[tex]36+64=C^{2}[/tex]
[tex]100=C^{2}[/tex]
C=10
Choose the correct answer
Answer: it should be d pretty sure
Step-by-step explanation:
Complete the proof.....
Answer:
Step-by-step explanation:
From the given attachment to the question, the following can be deduced.
1. M is the midpoint of GH, given that M is the definition of midpoint.
2. GM ≅ MH, given that x = 2. So that,
GM = 5x = 5(2)
= 10
MH = 3x + 4 = 3(2) + 4
= 10
Thus, GM ≅ MH
3. GM = MH is the definition of congruence. This implies that they are similar.
4. 5x = 3x + 4, by substitution property of equality.
Since, x = 2 then;
5(2) = 3(2) + 4
10 - 10
5. 2x = 4, given that x = 2.
6. GH = GM + MH, by division property of equality.
What are the coordinates of the point on the directed line segment from (−4,−10) to (10, -2) that partitions the segment into a ratio of 3 to 1?
Answer:
the ansmer : (-17/2 , 1)
Part C Whose puppy weighed the most when the person got it? How much did it weigh?
Answer:
Olivia's puppy, it weighed 5 pounds.
Step-by-step explanation:
Answer:
Olivia's puppy and the amount of pounds the puppy gained is 5 pounds
Step-by-step explanation:
George used the diagram below to help determine 30% of 60. Which expression could George have used?
30% of 60
10%
10%
10%
10%
10%
10%
10%
10%
10%
10%
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
0.10
6
6
6
6
6
6
6
6
6
6
(0.10)(6)
(0.10)(60)
(3)(6)
(3)(60)
Answer:
Answer:
Step-by-step explanation:
Given expression,
30% of 60,
We know that,
Convert percentage to fraction :
Thus,
So, 30% of 60 =
Which is the required expression.
Step-by-step explanation:
Answer:
30÷100 ×60
18 , ;; , ,,,,,,,,,
An architect created a scale model of what a college campus will look like once construction is finished. The scale for the model is 2 in. : 25 ft. The tallest building in the model is 10 intall. How tall is the actual building?
Answer: 125ft
Step-by-step explanation:
In the model, we have the relation:
2in = 25ft
This means that 2 inches in the model represent 25ft for the actual college campus.
Then, if the building is 10 inches tall in the model, we have:
How many groups of 2 inches we have in 10 inches?
10in/2in = 5
And we know that each one of these 2 inches represent 25ft, then 5 of them are 5 times 25 ft:
The height of the building is 5*25ft = 125ft
If 1/8 = 1ft and the wall is 56 ft wide how long would the wall be in inches?
Answer:
7
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
{ x | x > 9 }
Mr Gutierrez and his brother wants to play video games they want to purchase a game console that costs 300 4 games and 2 controllers write an expression to represent this situation
Answer:
The correct expression for this would be:
4g + 2c = 300
Step-by-step explanation:
Since the console costs 300 for buying 4 games and 2 controllers, let's represent 4 games with 4g and 2 controllers with 2c.
This means 4g and 2c gives 300. Mathematical, this is written as
4g + 2c = 300
seven less than eight times a number is -12
Answer:
19/8
Step-by-step explanation:
8x-7=-12
8x=19
x=19/8
Answer:
8-7n=-12
Step-by-step explanation: