Use the Distributive Property, which states the following:-
[tex]\sf{a(b+c)=ab+ac}[/tex]
Where
we distribute a by multiplying it times b and c
a, b, and c can be either constants (numbers) or variables (letters)
Distribute:-
[tex]\sf{\displaystyle\frac{1}{4}(x+24)}}[/tex]
Multiply the term before the parentheses by the terms inside the parentheses:-
[tex]\sf{\displaystyle\frac{1}{4} x+6}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
1. Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? 2. Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two inequalities to describe Andre’s height. Let a be Andre’s height in centimeters. 3. Select all heights that could be Andre’s height in centimeters. If you get stuck, consider drawing a number line to help you a) 150 b) 154.5 c) 160 d) 162.5 e) 164
Answer
Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.
Step-by-step explanation:
no step by step explanation
does that help??
The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
1) We have inequalities h > 150 and h < 160 for Lin height.
The height of the Lin varies between 150 cm to 160 cm because:
h ∈ (150, 160)
2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:
h < h' < 164
3) As the inequality for the Lin height: h > 150 and h < 160 or
h ∈ (150, 160)
And h < 164
So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.
Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
Learn more about the inequality here:
brainly.com/question/19491153
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Which graph shows the solution to 8y < 4x + 16? A. B. C. D.
Answer:
The answer is D.
Step-by-step explanation:
Find the boundary line, and then just shade the area.
y < 1/2x + 2
Answer:
d
Step-by-step explanation:
2023
G= {(-5,5), (6, 8), (-5, -5)}
What is the domain and range
Answer:
I'm pretty sure domain is x and range is why which would mean that:
domain: -5,6
range: 5,8,-5
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)
Find the value of x that makes ABCD a parallelogram.
D
C
150°
5x
150°
B
O A. 5
O B. 6
C, 30
D. 10
Answer:
the answer is 6
Step-by-step explanation:
5x+150=180( cointerrior angle of traingle)
5x=30
x=6
the diagram shows the cross-section of a wall of a cinema.
Answer:
280 m²£133Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
__
Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
Left Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
Middle Rectangle
A = LW
A = (13 m)(11 m) = 143 m²
Right Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
Wall Area
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
__
A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
I need help please 15 points
the average of a class of 25 students is 12 years. if a boy is leave the class the average age of the class falls down to 11.8 75. find the age of the boy who left the class.
ANSWER
solution
here,
Correct option is B)
Total age of 40 old students =40×15=600years.
Total age of 40 old and 10 new students =50×15.2=760years
∴ Total age of 10 new students =760−600=160years
∴ Required average age =
10
160
=16years
Answer:
16 years is the answer
Step-by-step explanation:
My account got deactivated I am about to cry
What expression can be used to subtract 2/3 - 4/9
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
1. [tex]\frac{2}{3} -\frac{4}{9}[/tex]
2. Multiply [tex]\frac{2}{3}[/tex] by [tex]\frac{3}{3}[/tex] to get a denominator equal to [tex]\frac{4}{9}[/tex]
3. [tex]\frac{2}{3} *\frac{3}{3} =\frac{6}{9}[/tex]
4. [tex]\frac{6}{9}-\frac{4}{9} =\frac{2}{9}[/tex]
The expression is: [tex]\frac{2}{3}*\frac{3}{3} -\frac{4}{9}[/tex]
Answer:
6/9-4/9
Step-by-step explanation:
ez pls mark branliest
TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.
Answer:
firast divide it by the nearest decimal, then convert your answer into simplest form and you will have your answer.
Step-by-step explanation:
Answer:
can you guys please teach me how to do that
What is the measure of the given angle in degrees
Answer:
D -- 210
Step-by-step explanation:
In degrees, 7π / 6 is 210°
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
210°
Step-by-step explanation:
To convert from radians to degrees :
Degree measure = Radian measure x 180°/πOur radian measure is 7π/6.
Solving :
Degree = 7π/6 x 180/πDegree = 7 x π/π x 180/6Degree = 7 x 30 = 210°what is the value of the expression below 2816 * 7
Answer:
2816 x 7 is 19712.
Step-by-step explanation:
I'm not going into detail, but simply, use a calculator
Answer:
the answer is 19,712
Step-by-step explanation:
ur welcome
Find the reciprocal of 7/2 multiplied by 3/5
6/35
hope it helps...!!!
Answer:
(2/7) x (3/5)= fraction form: 6/35 decimal form: 0.1714285
Step-by-step explanation:
h(x)= {1/x-5 , x=0
{-(x-4)^2, x=7
{ 3x-2, x~0,7
h(6)
Answer:
16
Step-by-step explanation:
h(x)=3x-2 in (0,7)
h(6)=3(6)-2=18-2=16
Question is in the pic below ;)))
Answer:
the first one
Step-by-step explanation:
1 x -4 = -4
3 x -4 = -12
and so on
A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)
Answer:
83 ft^2
Step-by-step explanation:
6*2.5 (bottom)= 15
4*2.5*2 (one set of sides)= 20
4*6*2 (another set of sides)= 48
Add, 83 ft^2
Find the surface area of the rectangular prism.
7 mi
4 mi
2 mi
Answer:
mi?
Suteri Anar
Answer:
Right rectangular prism
Solve for surface area
A=100
l Length
7
w Width
4
h Height
2
Solution
A=2(wl+hl+hw)=2·(4·7+2·7+2·4)=100
Need help asap pls ty
The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?
The cost of the hardwood flooring for the dining room is $
.
Answer:
$3520Step-by-step explanation:
Find the dimensions of dining roomWidth
4*1/4 in = 1 in 1 in ⇒ 1*16 ft = 16 ft, according to scale factorLength
5*1/4 in = 1.25 in1.25 in ⇒ 1.25*16 ft = 20 ftFind the area of dining room A = lw = 16*20 = 320 ft²Find the cost of flooring for the dining room320*11 = 3520Answer:
$3,520
Step-by-step explanation:
If each square has a side length of 1/4 in then the dimensions of the Dining Room in the blueprint are:
Dining Room = (4 × 1/4) x (5 × 1/4) = 1 × 1.25 inThe scale given is 1 in : 16 ft, therefore dimensions of room scaled up:
Dining Room = (1 × 16) x (1.25 × 16) in = 16 × 20 ftTherefore, the area of the Dining Room = 16 × 20 = 320 ft²
Given the hardwood floor costs $11 per ft², to find the total cost of the floor for the dining room:
Total cost = area × cost per ft²
= 320 × $11
= $3,520
Three friends combine their
money to buy tickets for a hockey game. If they
share the change evenly, how much will each
friend receive? Write equations to represent the problem then solve.
Using proportions, considering that they spent $n to buy the ticket, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we consider that they spent $n to buy the ticket. Since there are 3 friends and the amounts were divided evenly, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,5) and (-7, -1)
Distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 +(y_2-y_1)^2}[/tex]
Now replace the variables with the numbers (When you replace the numbers, it doesn't matter which is the first variable and second variable. Just do whatever is easiest).
[tex]d = \sqrt{(-1-(-7))^2+(5-(-1))^2}\\d = \sqrt{(-1+7)^2+(5+1)^2}\\d = \sqrt{6^2+6^2}\\d = \sqrt{36+36}\\d = \sqrt{72} \\d = 8.5[/tex]
Thus, the distance between the two points is 8.5
Latoya used 4 gallons of ginger ale, 1 gallon of orange juice, and 1 gallon of pineapple juice to make punch for her brother's birthday party.
How many cups of punch will Latoya have for her brother's birthday party?
Answer: 96 cups
Step-by-step explanation: A gallon holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces
A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups
it math questions Trigonometry
Answer:
25.5
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between angles and sides and trig functions in a right triangle. Here, the side adjacent and the side opposite the marked angle are also marked. That means the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(49°) = x/(22.2 m)
Multiplying by the denominator, we get ...
x = (22.2 m)tan(49°) ≈ 25.5 m
The unknown side is about 25.5 meters.
what is the expanded form of 812004?
8,00,000 + 10,000 + 2,000 + 4
Eight Lack Twelve Thousand And Four
INTERNATIONAL SYSTEM800,000 + 10,000 + 2,000 + 4
Eight Hundred And Twelve Thousand And Four
hope this is the expected answer!!,if it is correct/satisfying then PLS mark Brainlist(: !!HAVE A NICE TIME!! :)(: !!STAY SAFE!! :)Can someone help me with this pls I would be so happy if I got help with this.
Step-by-step explanation:
Pam made a mistake when multiplied fractions.
Correct way of multiplication involves the multiplication of both numerator and denominator.
She should have written
[tex]\cfrac{3}{8}*\cfrac{17}{8} =\cfrac{51}{64}[/tex]
find the volume
6ft
3ft
4tt
Answer:
72 i think.
Step-by-step explanation:
9/25 of 5kg is equal to ?
Answer:
1.8 kg
...............
Answer:
1.8 kg
Step-by-step explanation:
please note the " / " symbol means "divided by"
9 / 25 of 5
to work this out, we first do 5 / 25 and then the answer x 9
so 5 / 25 = 0.2
0.2 x 9 = 1.8
1.8kg or 1,800g
Hope this makes sense. If you need further explanation, let me know!
- profparis
If I helped you, a brainliest would be appreciated :D
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45
Answer:
The answer to the equation is: x + y ≥ 45
because In the question "Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?" Since the total time he spent on both is 45 minutes or more, it means that the sum of x and y is greater than or equal to 45. Therefore, the required equation is x + y ≥ 45
Step-by-step explanation: can u give brainliest please i am the fisrt person to answer u
Jamaal spent x minutes practicing guitar and y minutes on homework -> the total time he spent on both is x + y
It says that the total time is 45 minutes or more, which means the time he spent must be at least 45 minutes or above.
So, the option that fits the most is x + y ≥ 45
Write the first six terms of the sequence.
with an explanation please! i have no idea how to solve this on my own
49, 36, 25, 16, 9, 4
============================================================
Explanation:
We always start with n = 1 when it comes to sequences and series problems.
Plug in n = 1 to get
[tex]a_n = (n-8)^2\\\\a_1 = (1-8)^2\\\\a_1 = (-7)^2\\\\a_1 = 49\\\\[/tex]
The first term is 49, showing that the answer is choice C.
We can stop here, but I'll show how to do another one to help you get practice. Plug in n = 2.
[tex]a_n = (n-8)^2\\\\a_2 = (2-8)^2\\\\a_2 = (-6)^2\\\\a_2 = 36\\\\[/tex]
I'll let you compute the other terms.
Answer:
49,36,25,16,9,4
Step-by-step explanation:
First, eliminate anwser A since it's all negatives, and when squaring, negatives (without imaginary numbers) are impossible.
Foil out the equation:
a=(n-8)^2
a=(n-8)(n-8)
a=n^2-8n-8n+64
a=n^2-16n+64
Now find the values by substituting values n>=1:
49=1^2-16(1)+64
36=4-32+64
etc.
Which decimal is the best approximation of √26?
5.1
5.5
5.9
I don't know.
Answer:
5.1
Step-by-step explanation:
√26 = 5.099
5.099 is approximately 5.1
Answer:
5.1
Step-by-step explanation:
k12 quiz :)
Which of the following are solutions to the inequality below? Select all that apply.
4 ≥
r
Answer:
r=1
Step-by-step explanation:
1 is lower than for. The sign also suggests that its could be 4 as well