Step-by-step explanation:
Area of a trapezium = SOPS/2 × ph
Sops is the sum of 4+10 = 14
14/2 is 7. 7×4 = 28
A = 28cm²
Area = L×W
10×6= 60cm²
7. 3x +1 =5x simplified
Step-by-step explanation:
3x + 1 = 5x
Bringing like terms on one side
1 = 5x - 3x
1 = 2x
1/2 = x
Answer:
x = 1/2
Step-by-step explanation:
Step 1: Write out equation
3x + 1 = 5x
Step 2: Subtract 3x on both sides
1 = 2x
Step 3: Divide both sides by 2
x = 1/2
X/8 - 1/2 = 6 its really hard and my teacher and I never went over it
Answer:
X = 52
Step-by-step explanation:
X / 8 - 1 / 2 = 6
X / 2³ - 1 / 2 = 6
X + 4( -1) / 2³ = 6
X - 4 = 48
X = 48 + 4
X = 52
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $ 3.25 $3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $ 30 $30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 4 44 pancakes for $ 5.50 $5.50dollar sign, 5, point, 50. Let S SS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 3.25 + S ≤ 30 3.25+S≤303, point, 25, plus, S, is less than or equal to, 30 (Choice B) B 3.25 + S ≥ 30 3.25+S≥303, point, 25, plus, S, is greater than or equal to, 30 (Choice C) C 3.25 + 5.50 S ≤ 30 3.25+5.50S≤303, point, 25, plus, 5, point, 50, S, is less than or equal to, 30 (Choice D) D 3.25 + 5.50 S ≥ 30 3.25+5.50S≥303, point, 25, plus, 5, point, 50, S, is greater than or equal to, 30 2) What is the largest number of pancakes that Benjamin can afford? pancakes Show Calculator
Answer:
The correct option is;
C. 3.25 + 5.50·S ≤ 30
Step-by-step explanation:
The given parameters are;
The cost of the chocolate milk ordered = $3.25
The unit quantity of pancake sales = Stack
The number of pancakes in a stack = 4
The amount a stack of four pancakes is sold = $5.50
The number of pancakes Benjamin wants to buy = As many as he can
The number of stacks of pancakes Benjamin buys = S
The cost of the pancakes Benjamin buys = $5.5 × S
The cost of the number of pancakes Benjamin buys
The maximum amount Benjamin wants his bill to amount to = $30
Therefore we have;
The cost of chocolate milk ordered + The cost of pancakes Benjamin buys ≤ $30
Which gives;
$3.25 + $5.50 × S ≤ $30
Therefore, the correct option is 3.25 + 5.50·S ≤ 30.
What is the median, 35,27,51,31,28,19,33
Answer:
26 should be the median
Step-by-step explanation:
is what I got
solve -10=4x show work please :D
Answer:
-2.5 = x
Step-by-step explanation:
-10 = 4x
the equation between 4 and x is multiplication
as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x
Therefore,
-10 = 4x
-10/4 = x
Simplify into decimal if needed
-2.5 = x
Hope that helped!!! k
Answer:
[tex]\Large \boxed{{x =- \frac{5}{2} }}[/tex]
Step-by-step explanation:
We need to isolate the [tex]x[/tex] variable on one side of the equation to find the value of [tex]x[/tex] that makes the equation true.
[tex]-10=4x[/tex]
Divide both sides of the equation by 4.
[tex]\displaystyle \frac{-10}{4} =\frac{4x}{4}[/tex]
Simplify the equation.
[tex]\displaystyle \frac{-5}{2} =x[/tex]
Plz help only given 5mins tell how they are similar by 1.sas 2.aa 3.sss 4.asa
Answer:
2. aa
Step-by-step explanation:
youre given all the angles so its proven to be similar by angle angle
Answer:
aa
Step-by-step explanation:
The two triangles have angles that are equal so we need to use the angles to prove similarity
We have all three angles that are equal
We only need two angles to use the AA postulate of similarity, which is if two angles are the same then the triangles are similar
What is the area, in square inches, of the isosceles trapezoid below?
17.9 in
18 in
8.3 in
Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
Write as a decimal: 9/100
Answer:
0.09
Step-by-step explanation:
When you divide a number by 100, you move the decimal to the left 2 steps because there are two zeros.
the market Price of led tv is rs 25000 how much should is customer pay to buy it is 13 percentage vat is levied after 10 percent discounts
Answer:
hii
Step-by-step explanation:
how are you hope you are fine
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{\boxed{ \: Rs \: 25425}}}}}[/tex]Step-by-step explanation:
Given,
Marked Price ( MP ) = Rs 25000
Vat percent = 13 %
Discount percent = 10 %
▪️Finding the discount amount
Discount amount = Discount % of MP
= 10 % of 25000
= Rs 2500
▪️Finding the Selling price
Selling price ( SP ) = MP - Discount amount
= Rs 25000 - Rs 2500
= Rs 22500
▪️Finding the Vat amount
Vat amount = Vat % of SP
= 13 % of 22500
= Rs 2925
▪️Finding the SP with VAT
SP with vat = SP + Vat amount
= Rs 22500 + Rs 2925
= Rs 25425
Hope I helped !
Best regards!!
Two cubes each measure 7 units on each side.Write an expression using exponents to represent the total volume of the cubes.
Your answer:
Answer:
(7³ + 7³) cubic units
Step-by-step explanation:
The formula for the volume of a cube = (Side length)³
From the question, we are told that, we have two cubes
Cube 1 :
Side length = 7
Volume of cube 1 = 7³ cubic units
Cube 2
Cube 2 also has a side length of 7 as well
Volume cube 2 = 7³ cubic units
We are asked in the question to find the total volume of the cube and express as exponents
Total volume = Volume of cube 1 + Volume of cube 2
=( 7³ + 7³) cubic units
Find the length of CV¯¯¯¯¯¯¯¯ A. 43.92 B. 33.1 C. 68.87 D. 41.45
Answer: B. 33.1
Step-by-step explanation:
Use sin to solve (opposite/hypotenuse)
let x= length of CV
sin(37)=x/55
x=55sin(37)
x≈33.1
*PLEASE ANSWER TY* What is the volume of this prism?
Answer: B. 23.9 cm³
Step-by-step explanation:
V = AH
A (area of the triangle base): 6×3÷2=9cm²
H (height of the prism): 2.65 cm
------------------------
V = AH
V =(9) (2.65)
V = (23.85)
V= 23.85cm²
≈23.9
30 term of AP 1,7,4 is
Correct Question
30th term of AP 10, 7, 4 is
Answer:
The 30th term is -77
Step-by-step explanation:
Required
Determine the 30th term of the given progression
First, we need to determine the common difference (d);
[tex]d = T_2 - T_1[/tex]
[tex]d = 7 - 10[/tex]
[tex]d = -3[/tex]
The nth term of an AP is calculated by
[tex]T_n = a+ (n -1) d[/tex]
In this case;
n = 30;
a = First term = 10
d = -2
Substitute these values in the given formula
[tex]T_{30} = 10+ (30 -1) * -3[/tex]
[tex]T_{30} = 10+ (29) * -3[/tex]
Open the bracket
[tex]T_{30} = 10-87[/tex]
[tex]T_{30} = -77[/tex]
Hence, the 30th term is -77
Find the degree of the monomial.
-1.75k2
Answer:
The degree of this monomial is 2.
Step-by-step explanation:
This is because the degree of a monomial (or a polynomial, binomial) is equal to the degree (exponent) of the term in the monomial. In polynomials, it would be the degree of the term with the HIGHEST degree.
-1.75k^2
The exponent is two, so the degree is two.
Hope this helped!!!
Arrange four 3's to produce 18.
What is the answer
Answer: 3*3 + 3*3 = 9 + 9 = 18
You would use trial and error for this type of problem. Often parenthesis are involved to change the order of operations, but no parenthesis are needed here.
A partnership owned equally by 15 partners is worth $1.5 million. The partnership loses a lawsuit
worth $5 million. What is the value of any personal property each partner must forfeit to pay the
settlement?
Answer:
Hey there!
5000000-1500000=3500000
3500000/15=$233333.33
Your answer should be $233333.33
Let me know if this helps :)
A Local clothing shop is marking down all of its summer clothes by 75%. Keesha would like to purchase a swimsuit that is originally priced at $80. What is the markdown price of the swimsuit?
Answer:
Markdown price is $60.
Step-by-step explanation:
The discount offered on the cloths by the clothing shop = 75%
Since we know that the markdown price is the amount by which the original price is decreased. So, the markdown price can be calculated by multiplying the original price with a discount rate. Here, below is the calculation.
Markdown price = $80 × 75% = $60
Two positive consecutive numbers are represented by x and x+1. If four is added to the first
number and two is subtracted from the second number, the quotient of the new numbers is
Determine the numbers algebraically.
Answer:
x and x+1
Step-by-step explanation:
x+4
x+1-2=x-1
So the quotient of the numbers is x+4/x-1
Write equivalent fractions for
online
and
9
using the least common denominator.
Type the fractions, using a slash ( /) to separate the numerator and denominator.
1/6
1/9
If you want fractions that are similar to the two fractions you have:
Because the fractions are already in their simplest form, you can continue to multiply the numerator (top number) and the denominator (bottom number) by two (one whole), which is represented by 2/2.
1/6 = 2/12 = 4/24...
1/9 = 2/18 = 4/36...
If you want to have the same value for each fraction but have the same denominator:
(1/6)(9/9) = 9/54
(1/9)(6/6) = 6/54
what is the answer (13-5)² +(16÷2)
Answer:
72
Step-by-step explanation:
13-5=8^2
16/2=8
(8*8)+8
64+8
=72
Answer: [tex]72[/tex]
Subtract
[tex](13-5)^2\\=8^2[/tex]
Multiply
[tex]8^2=64\\8*8=64[/tex]
Divide
[tex]16/2=8[/tex]
Add
[tex]64+8=72[/tex]
Make x the subject of y = 4x + 1
You may use the flowchart to help you if you wish.
Answer:
x = [tex]\frac{y-1}{4}[/tex]
Step-by-step explanation:
Given
y = 4x + 1 ( subtract 1 from both sides )
y - 1 = 4x ( divide both sides by 4 )
[tex]\frac{y-1}{4}[/tex] = x
f(x) = x-2
g(x) = x2+1
Find (f - g)(2)
Answer: I think the answer is -x^2+x-6
Step-by-step explanation: I think it's like this as it is in the image below. I hope it's right and helps you!
What is the minimum point of the graph???
Answer:
(-2,1)
Step-by-step explanation:
Since this is an upwards opening parabola, the minimum point is at the vertex
We can find the x coordinate of the vertex by
y = 2x^2 +8x +9
where a=2 b =8 and c =9
x = -b/2a
x = -8/(2*2)
= -8/4 = -2
The x coordinate is -2
Now substitute this in to find the y coordinate
y = 2(-2)^2 +8(-2)+9
= 2*4 -16+9
8-16+9
=1
The vertex = (-2,1), which is the minimum point
Answer:
Step-by-step explanation:
y=2x²+8x+9
to find the minimum or maximum point x=-b/2a
x=-8/4=-2
y=2(-2)²+8(-2)+9
y=8-16+9
y=1
minimum point is (-2,-1)
solve the following equation for D. be sure to take into account whether a letter is capitalized or not.
hD=m
Answer:
b
Step-by-step explanation:
The expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
hD = m
To solve for D make the subject as D
As we know the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Divide by h on both the sides:
hD/h = m/h
Here h ≠ 0
D = m/h
Thus, the expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
5. (01.07)
Solve 3x - x + 2 = 12. (1 point)
Answer:
x = 5
Step-by-step explanation:
Simplify. First, combine like terms:
3x - x + 2 = 12
(3x - x) + 2 = 12
(2x) + 2 = 12
2x + 2 = 12
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is your order of operation.
First, subtract 2 from both sides:
2x + 2 (-2) = 12 (-2)
2x = 12 - 2
2x = 10
Next, divide 2 from both sides:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
Check: Plug in 5 for x in the equation. Solve:
3(5) - (5) + 2 = 12
15 - 5 + 2 = 12
10 + 2 = 12
12 = 12 (True)
~
Answer:
x = 5
Step-by-step explanation:
Combining like terms, we get 2x = 10. Dividing both sides by 2 yields
x = 5
Pls help if you’re good at trigonometry tysm! Best answer is brainliest!
Answer:
7) a = 65; b = 50
8) c = 125; d = 55; e = 52
9) f = 105
Step-by-step explanation:
7)
a = 65
b + 130 = 180
b = 50
8)
c = 125
d + 125 = 180
d = 55
e = 52
9)
(180 - f) + 32 + (180 - 107) = 180
180 - f + 32 + 180 - 107 = 180
-f + 285 = 180
-f = -105
f = 105
Answer:
a = 65, b = 50, c = 125, d = 55, e = 52, f = 105, g = 128, h = 40, j = 21, k = 71
Step-by-step explanation:
7. a = 65 degrees - (corresponding angles theorem) b = 50 degrees - (because of same sided interior angles theorem you have to do 180 - 130)
8. c = 125 (corresponding angles theorem) d = 55 (c & d are a linear pair so you have to do 180-125) e = 52 (alternate interior angles theorem)
9. f = 105 (Because of alternate interior angles theorem the angle that is 32 degrees and the angle next to it is 107. Next subtract 32 from it, which will make it a 75 degree angle. Lastly to find f use same sided interior angles theorem, this means subtract 180-75)
10. h = 40 (because of vertical angles theorem the other angle in the triangle is 52 degrees. Now find add 88 + 52 = 140, then subtract it from 180) g = 128 (same sided interior angles theorem)
11. j = 21 (First find the missing angle in the triangle. To do that add up all of the angles and then subtract it from 180. This makes the missing angle 39. Now subtract that from 60)
12. k = 71 (Since this is an isosceles triangle the 2 base angles will be congruent. Because of same sided interior angles theorem subtract 148 from 180, making it 32. We are trying to find the top angle of the triangle so add 32 + 110 = 142. Then subtract it from 180, 38. Now subtract 38 from 180, 142. Lastly divide it by 2, 71.)
You have \$20$20dollar sign, 20 to spend on taxi fare. The ride costs \$5$5dollar sign, 5 plus \$2.50$2.50dollar sign, 2, point, 50 per kilometer. Write an inequality to determine the distance in kilometers, ddd, you can ride for \$20$20dollar sign, 20. What is the maximum distance, in kilometers, you can ride for \$20?$20?
Answer:
The answer is 8 kilometers.
Step-by-step explanation:
Let X be the total cost of the taxi fare and Y be the distance traveled. If the taxi fare costs $5, $2.5 for each kilometer, we can write an inequality such as
X = 2.5 x Y.
If the total amount of money for the ride is $20, when we put it into the inequality, 20 = 2.5 x Y
Y = 20 / 2.5 = 8.
For $20 you can ride for a maximum distance of 8 kilometers.
I hope this answer helps.
Answer:
Equation: 5+2.5d≤20
Kilometers: 6
Step-By-Step Explanation
Answer for Khan Academy and also correct for sure promise ;)
need help with this asap, please
Answer:
Perimeter = 3√5 + 6 + √73 + √58 + 5√2Step-by-step explanation:
[tex]AB=\sqrt{(6-0)^2+(5-8)^2}=\sqrt{36+9}=\sqrt{45}=3\sqrt5\\\\BC=|-1-5|=|-6|=6\\\\CD=\sqrt{(-2-6)^2+(-4-(-1))^2}=\sqrt{64+9}=\sqrt{73}\\\\DE=\sqrt{(-5-(-2))^2+(3-(-4))^2}=\sqrt{9+49}=\sqrt{58}\\\\EA=\sqrt{(0-(-5))^2+(8-3)^2}=\sqrt{25+25}=\sqrt{25\cdot2}=5\sqrt2[/tex]
Plz help ASAP Will mark u brainliest
Answer:
60 square feet
Step-by-step explanation:
area= length*width
a=5*12
a=60
Answer: 60 ft²
Step-by-step explanation: To find the area of the rectangular bedroom wall, we use the formula for the area of a rectangle, A = lw.
Since the length of the rectangle is 12 feet and the width of the rectangle
is 5 feet, we plug this information into the formula for length and width
and we have (12 ft)(5 ft) which simplifies to 60 ft².
So the area of the rectangular bedroom wall is 60 ft².
A class had 6 students absent one Monday. This was 2/7 of the entire class. How many students were present that day?
Answer:
21 students
Step-by-step explanation:
Let c = number of students in class
c* 2/7 = 6
Multiply each side by 7/2
c * 2/7 *7/2 = 6 *7/2
c = 21
There are 21 students in the class