Answer:
|x - y| > 24
Step-by-step explanation:
The difference btwn 2 villages is over 24km Write this as an algebraic statement
To solve :
Let us represent the two villages with an alphabet :
Let:
Village 1 = x
Village 2 = y
The difference between the two villages : |Village 1 - Village |, that is x - y
The difference is more than 24 km, that is > 24
Hence,
Algebraically,
|x - y| > 24
4 The triangles shown are similar. Find y.
180 degrees is equal to a triangle if we add 111 and 32 degrees it will get 143 degrees so we should subtract 143 from 180 degrees it will get 37
what does-25=1/3n-10 equal
Answer:
-45
Step-by-step explanation:
add 10 to -25, then divide 1/3 to that answer, which is -15. and you get -45
Answer: N=-45
Step-by-step explanation: Solve for n by simplifying both sides of the equation, then isolating the variable.
Find the sum.
(12p+ 9) + (4p - 3)
A. 12p+ 6
B. 16p+6
C. 16p+ 12
D. 16p - 6
SUBMIT
Answer:
B. 16p+6
Step-by-step explanation:
Answer:
B . 16p + 6
Step-by-step explanation:
12p + 9 + 4p -3
collect like terms
(12p + 4p) + (9 - 3)
16p + 6
Please need answers please
Answer:
13
Step-by-step explanation:
-(-13) = 13
Answer:
13
Step-by-step explanation:
a - times - is a + so there you go I would use photo math if I was you
Can someone please help me with this, and give a thorough explanation?
Answer: x=68
Step-by-step explanation:
A. It’s asking what the last test must have to be (x) for all five tests to average out to an 80. This can be represent by:
(95+76+77+84+x)/5=80
The first four numbers are the existing test scores and x is the score you need. This is all divided by five so that you can find the average of all of these added together, which will equal 80, because that’s the grade you’re trying to get. Next, just solve for x:
= 95+76+77+84+x=80(5)
= 332+x=400
X=68
B. I got 74 for this one by using the same process as in part a, but I divided the left side by six and multiplied x by two: (95+76+77+84+2x)/6=80
But I’m not completely positive about this answer. A is definitely right though
1. Alejandro bought a television set for $900 and paid a sales tax of 8%. How much did he pay for the television set?
2. Eric went to Best Buy and bought $3000 worth of electronics. The sales tax was 7%. What was the total cost of the items after tax?
3. Rosa and her friends are eating out for dinner. The bill was $45.80. If they leave a 20% tip, how much was the total bill?
4. Tom wanted to buy a new phone. The original price was $600. He found one on sale for 20% off. How much is the phone now?
Answer:
Alejandro bought a television set for $900 and paid a sales tax of 8%. How much did he pay for the television set
Step-by-step explanation:
A student surveyed 100 students and determined the number of students who take statistics or calculus among seniors and juniors. Here are the results.
Let A be the event that the student takes statistics and B be the event that the student is a senior.
What is P(A and B)?
A. 0.15
B. 0.33
C. 0.47
D. 0.68
Pr ( A & B ) , ie Probability (Senior Student with Statistics) = 0.15
Given : Event A = Student is senior, Event B = Student takes statistics
Total Students = Seniors with Statistics + Juniors with Statistics + Seniors with Calculus + Juniors with Calculus = 15 + 18 + 35 + 32 = 100 students Pr (A & B) , ie Probability (Senior Student with Statistics) = 15 studentsPr (A & B) = Favourable Students / Total Students = 15 / 100
P = 0.15
To learn more, refer https://brainly.com/question/13604758
Highest common factor of 308 and 420
Answer:
hcf, ( 308; 420) = 28 = 2^2 × 7: greatest ( highest ) common factor ( divisor ), calculated.
the formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2) Solve for ,n, the number of sides of the polygon, in terms of S
NEED STEP BY STEP EXPLANATION
Answer:
n = (S + 360)/180Step-by-step explanation:
Given formula:
S = 180(n - 2)Solving for n:
S = 180(n - 2) ⇒ open parenthesisS = 180n - 360 ⇒ isolate n180n = S + 360 ⇒ divide both sides by 180n = (S + 360)/180[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]
where, n =number of sides of polygon
S =sum of the degree measures of the interior angles of the polygon
What is 1200% as a simplified fraction>
Answer:
Step 1: Write down the percent divided by 100 like this: 1200% = 1200 / 100. Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As 1200 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Answer:
12/1 or 12
Step-by-step explanation:
Which is the mathematical symbol. HELP ASAP
Answer:
I would think D
Step-by-step explanation:
(2x + 3) (2x2 – 2+4)
Answer:
(2x + 3) (2(2)x2 – 2+4)
Step-by-step explanation:
thats what i got hope it helps :)
Answer:
12x+18
Step-by-step explanation:
(2x+3)(2 x 2-2+4)
(2x+3)(4-2+4)
(2x+3)(2+4)
(2x+3)(6)
(2x+3) x 6
12x+18
I'm assuming the 2x2 is 2 times 2
I need help on this if you know all the answers that would be great but if not I understand I am just struggling
Answer:
1. 8x+9
2. 3x + 11
3. 9x + 8
4. 11x+9
5. 6x
6. 10x+ 8
7. 7x+7
Step-by-step explanation:
Answer:
question 1: 8x + 7
question 2: 3x + 11
question 3: 9x + 8
question 4: 11x + 9
question 5: 6x
question 7: 10x + 8
question 8: 7x + 7
One equation in a system of equations is y=4x-5 write a second equation to complete the system if the solution to the system is (3,7) PLSSS BE QUICK :))
Answer:
4y = -x + 31
Step-by-step explanation:
Given that one equation in a system of equations is y = 4x - 5 write a second equation to complete the system if the solution to the system is (3,7)
Since the solution of the system is (3, 7), that means the two lines of equations meet or intersect at point X = 3 and Y = 7
Let assume that the two equations are perpendicular to each other. Then, there slope can be expressed as
M1M2 = -1
Where M1 = 4
Find M2
4M2 = -1
M2 = -1 / 4
Using general linear equation
Y = MX + C
Let's find C by substituting Y, X and M2
7 = -1 /4( 3 ) + C
7 = -3/4 + C
C = 7 + 3/4
C = 31/4
Substitute C back into the equation
Y = -1/4X + 31/4
4y = -x + 31
Therefore, the second equation is
4y = -x + 31
[tex] - 2x - 4y = 10 \\ 2x + 4y = - 10[/tex]
please find the point of intersection
Answer:
They are the same slope
Step-by-step explanation:
When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]
What is the smallest integer for which the inequality 120-8x<-16
Answer:
[tex]x > 17[/tex]
Step-by-step explanation:
[tex]120 -8x < -16\\- 120\\\frac{-8x}{-8} < \frac{-136}{-8}\\x > 17[/tex]
5 + 5?
(hint: look at how many points you'll get)
Plz halp need an answer right away!
Answer:
20.56 cm
Step-by-step explanation:
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 inches.
Use pi = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
Answer:
We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).
Step-by-step explanation:
Diameter of cylinder = 8 inches
Diameter of cone = 8 inches
Height of cylinder = 9 inches
Height of cone = 18 inches
We need to find the relationship between the volume of this cylinder and this cone.
First we will find volume of the cylinder
The formula used is: [tex]Volume=\pi r^2h[/tex]
We have
Diameter of cylinder = 8 inches
Radius = d/2 = 8/2 = 4 inches.
Height of cylinder = 9 inches
Putting values and finding volume
[tex]Volume=\pi r^2h\\Volume=3.14\times (4)^2 \times 9\\Volume=452.16[/tex]
So, Volume of cylinder = 452.16 inches³
Now, we will find volume of the cone
The formula used is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]
We have
Diameter of cone = 8 inches
Radius = d/2 = 8/2 = 4 inches.
Height of cone = 9 inches
Putting values and finding volume
[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14 \times (4)^2 \times \frac{18}{3}\\Volume=3.14 \times (4)^2 \times 6\\Volume=301.44[/tex]
So, Volume of cone = 301.44 inches³
Now, comparing volume of both cylinder and cone.
Volume of cylinder = 452.16 inches³
Volume of cone = 301.44 inches³
We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).
In ΔKLM, the measure of ∠M=90°, LK = 97, ML = 65, and KM = 72. What is the value of the sine of ∠L to the nearest hundredth?
Answer: 0.74
Step-by-step explanation:
simplify: 45÷3+2×8-12+30
[tex] \bold{\underline{Solution}}[/tex]
[tex]{\bold{\underline{\underline{Given}}}}[/tex]
[tex]45÷3+2×8-12+30[/tex]
[tex] {\bold{ \underline{lets \: begin - : }}}[/tex]
Now,
Solve,,
[tex] \small\bold{simpify}[/tex]
[tex]45 \div \: 3 + 2 \times 8 - 12 + 30 \\ \\ = 15 + 16 - 12 + 30 \\ \\ = 15 + 16 - 12 + 30 \\ \\ = 49[/tex]
Division → Multiplication → Addition →Subtraction .
BODMAS stand for
B stand for bracketO stand for ofD stands for divisionM stand for multiplicationA stand for addition addition S stand for subtractionAnswer :
49 is the answer.Solution :
Using BODMAS rule.
B = Bracket O = Of D = Division M = Multiplication A = AdditionS = SubtractionFirst dividing.
>> 45 ÷ 3 + 2 × 8 - 12 + 30
>> 15 + 2 × 8 - 12 + 30
Now multiplying 2 into 8,
>> 15 + 16 - 12 + 30
Adding 15 and 16,
>> 31 - 12 + 30
Now,
>> 19 + 30
>> 49
The perimeter of a rectangle is 12x + 4. If the width is 2x,
the length of the rectangle is
Answer:
4x+2
Step-by-step explanation:
Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .
12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.
4x+2 = length. Hope this helps!
Jaxon bought a book for $6 and 5 movies. He spent a total of $41. How much did each movie cost?
Answer: each movie costs 7$
Step-by-step explanation: 41-6=35 and you divide that by 5 which is 7
Answer:
each movie cost $7
Step-by-step explanation:
41 - 6 = 35
35 / 5 = 7
Which expression is equivalent to
–4(2r)?
Answer:
is it -8r
Step-by-step explanation:
3.5
Think About the Process Karen purchased a DVD player on sale. The original selling price was
$175.90. The sale price was $149.62. What is the first step in finding the percent markdown? Find
the percent markdown.
what is the slope of line? (14, 0) and (2, -3) as a simplified fraction
Answer:
Step-by-step explanation:
(-3 - 0)/(2 - 14) = -3/-12 = 3/12= 1/4
PLZ HELP!!!! I HAVE A BAD GRADE IN MATH
Answer:
me too
Step-by-step explanation:
Answer: i think this question is asking for y=1/3x - 1
Use the distributive property to remove the parentheses.
6(6-v)
the diagonals bisect the opposite angles in which type of quadrilateral
isosceles trapezoid
parallelogram
rhombus
rectangle
Answer:
Rhombus I guess
Step-by-step explanation:
Because rhombus have equal interior angles which is 90° so we can bisect or divide equally
Pleaseeeeee help. Picture attached
Answer:
Option C
Step-by-step explanation:
Given expression is [tex]y^{-\frac{4}{3}}[/tex].
Exponent of this expression is [tex](-\frac{4}{3})[/tex].
Option (A)
[tex]-\frac{4}{3}y[/tex]
Since, exponents and coefficients of both the expressions are different.
They are not equivalent.
Option (B)
[tex]-(\sqrt[3]{y})^4=-(y^{\frac{1}{3}})^4[/tex]
[tex]=-y^{\frac{4}{3}}[/tex]
Here, exponent is with positive notation [tex](+\frac{4}{3})[/tex] while in the original expression it is negative [tex](-\frac{4}{3})[/tex].
Therefore, both the expressions are not equivalent.
Option (C)
[tex]\frac{1}{(\sqrt[3]{y})^4}=(\sqrt[3]{y})^{-4}[/tex]
[tex]=y^{-\frac{4}{3}}[/tex]
Both the expressions are equivalent.
Option (D)
[tex]-(\sqrt[4]{y})^3=-(y)^{\frac{3}{4}}[/tex]
Exponents of both the expressions are different.
Therefore, not equivalent.
Option (E)
[tex]\frac{1}{(\sqrt[4]{x})^3}=(\sqrt[4]{x})^{-3}[/tex]
[tex]=y^{-\frac{3}{4}}[/tex]
Exponent of this expression is different from the original expression.
Therefore, not equivalent.
Option (C) will be the correct option.