Step-by-step explanation:
Since triangles ABC and DEF are congruent,
Angle D = Angle A.
=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.
Also side EF = side BC.
=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.
Answer: Y = 35, X = 27.8
Step-by-step explanation:
First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.
Can someone help w this
Your thrteater company sells tickets to their holiday showing off the nutcracker. Tickets cost $5 each. Tickets for adults cost $8 each. The total sales on opening night is $720. Write an equation to show the total sales as a combanation of kid tickets and adult tickets sold.
Answer:
5x + 8y = 720
Step-by-step explanation:
Let the :
Number of kid tickets sold = x
Number of adult tickets sold = y
Hence:
Tickets for kids cost $5 each.
Tickets for adults cost $8 each.
The total sales on opening night is $720.
The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:
$5 × x + $8 × y = $720
5x + 8y = 720
Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is
5x + 8y = 720
Write the equation of the line in slope-intercept from:
1. Point:(2,3) slope: 4
2. Point:(1,4) slope:-2
3. Point:(-2,5) point:(0,3)
4. Point:(7,0) point:(3,-3)
If you do this, you’ll be the greatest person in the world!
Answer:
1. 4x - 5
2. -2x + 6
3. x + 3
4. 4/3x - 5
Step-by-step explanation:
I used a calculator and my math skills :)
1) Ben has 15 coins, all dimes and quarters, worth $2.55. How
many dimes and how many quarters does Ben have?
Answer:
Ben has 8 dimes and 7 quarters.
Step-by-step explanation:
Given that:
Number of coins = 15
Worth of coins = $2.55 = 2.55 * 100 = 255 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
x+y=15 Eqn 1
10x+25y=255 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=15)
10x+10y=150 Eqn 3
Subtracting Eqn 3 from Eqn 2
(10x+25y)-(10x+10y) = 255 - 150
10x+25y-10x-10y=105
15y=105
Dividing both sides by 15
[tex]\frac{15y}{15}=\frac{105}{15}\\y=7\\[/tex]
Putting y=7 in Eqn 1
x+7=15
x=8
Hence,
Ben has 8 dimes and 7 quarters.
Five-eights of the sixth grade students at clearview middle school buy their lunch. If 256 students buy their lunch, how many sixth grade students are there
Answer: 409.6
Step-by-step explanation:
Let the total number of sixth grade students be represented by x.
We are further told that 5/8 of the sixth grade students at clearview middle school buy their lunch which was about 256 students. We can represent this into an equation as:
5/8 × x = 256
0.625x = 256
x = 256/0.625
x = 409.6
In a video store, a DVD that sells for $20 is marked down to $14. What is the
percent discount? *
Explain how you got your answer.
find f(-3) f(x) = 4x+7
Answer:
-5
Step-by-step explanation:
4(-3) + 7
-12+7
Answer:
f(-3) = -5
Step-by-step explanation:
f(x) = 4x + 7
f(-3) = 4(-3) + 7
f(-3) = -12 + 7
f(-3) = -5
Part A
How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
PLS HELPP PLSSSSSSSSSSs
Part B
If Marcus’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:
A) How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer: If David’s dad wanted to cover the rectangular side of the tent, he would need to multiply the sides together. Using the formula A = l x w, I can solve for 6 and 9. 9 x 6 = 54, so 54 = 6 x 9.
B) If David’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer: If he wanted to re-cover the whole tent, he would need the product of the rectangular side, the triangular side, and the bottom side. Using A = l x w, I can solve for each side of the tent, For the rectangular side you multiply six by nine, then multiply two by the product. 6 x 9 = 54 x 2 = 108. For the triangular side, I need to multiply six times seven, 6 x 7 = 42. For the bottom, I need to multiply seven times nine, 7 x 9 = 63. Finally, I need to add them all up. 108 + 42 + 63 = 213 ft².
C) What is the volume of the tent? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism.) V=Bh, where B = area of one of the triangular bases
Answer: I need to find the volume of the tent, so I need to find the formula which is V = B x h. The base is 63, because I needed to find the area of one of the triangular bases, so I multiplied 7 x 9 = 63. The height is 6, so I need to multiply 63 x 6. When I multiply 63 x 6, I get the product of 378, so the volume of the tent is 378 ft³.
X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0
Answer:
STEP 1
Equation at the end of step 1
(((x3) - 22x2) - 11x) + 30
STEP 2
Checking for a perfect cube
2.1 x3-4x2-11x+30 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-4x2-11x+30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -11x+30
Group 2: x3-4x2
Pull out from each group separately :
Group 1: (-11x+30) • (1) = (11x-30) • (-1)
Group 2: (x-4) • (x2)
Find the value of 64 3/2
Answer:
65 1/2 or 65.5
Step-by-step explanation:
3/2 = 1.5 or 1 1/2
Answer:
65 1/2
Step-by-step explanation:
y=−34x 2 +1542x−10037
Answer:
10105
1542
Step-by-step explanation:
Multiplying binomials using area model.
Answer:
4x²+35x+24
Step-by-step explanation:
FOIL the binomials and simplify
4x^2 + 35x + 24
That's all I know.
Phyllis has $1,400 in her savings account. If the bank pays 2.25% interest per year
on savings, how much interest does she earn in one year?
Answer:
1400/100 x 2.25 = $31.50
3 1/4 - 4 1/2 show your work
If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?
9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
The current flow to a transformer's primary circuit measures 16 amps. The transsformer's secondary current measures 80 amps. What the transformer's turns ratio?
Answer:
1/5
Step-by-step explanation:
The transformer formula is as expressed as
Ns/Np= Ip/Is
Ns and Np are the number of turns in the secondary and primary coil respectively
is and Ip are the currents in the secondary and primary coil respectively
Given the following
Ip = 16A
Is = 80A
Substitute into the formula
Ns/Np = 16/80
Ns/Np = 1/5
Hence the transformer's turn ratio is 1/5
Answer: for pf, 1:5 is WRONG!
Step-by-step explanation:
Select ALL the correct answers.
Which equations have a greater unit rate than the rate represented in the table?
Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x
Answer:
y = 5/7 x
y = 7/9 x
y = 3/4 x
Step-by-step explanation:
Firstly, let us get the unit rate on the table
That would be;
y/x = 2/3
y = (2/3)x
so the fractions greater than 2/3 will
be our answer
3/4 is greater
7/9 is greater
5/7 is greater
What is the radius if you drew a new circle with a scale facter of 3
Answer:
it is 5
20-5-10=5 and there is your answer
PLZ HELP ME
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Answer:
Sorry just trying to get pts
Step-by-step explanation:
ARE ON
1. Which of the following is most likely a graph of y=-2x +3?
I really need help with this question thanks
Answer:
12.12
Step-by-step explanation:
SO its A special right triangle which means its. 30,60,90 triangle
we know the bigger leg is 14
so we divide that by 2 since
leg 1 = Unknown (y)
leg 2= 2y=14
Since leg 1 is basically half of leg 2, we divide leg 2 by 2 and get 7
now for the hypotenuse Its just y√3 so in this case y is 7
SO when solved 7√3 you’d get 12.12 rounded
The length of a planet's orbit around a star is approximately 24,130,000 km.
It takes the planet about 1440 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
hii I am enter in wrong serve ....
Answer:
have u goa answer
Step-by-step explanation:
Which gives the prices in order, from least to greatest
Answer:
is there a picture to go with the problem?
HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ
hope it will help you.........
Answer:
UV=UZ+ZV
Step-by-step explanation:
UV=3y-5+2z+2
=3y+2y-3
but UV =27=3y+2y-3
30 =3y+2y
bisect means cut in to two equal parts so
3x+3=3y+6
3x-3y=6-3
3x-3y=3
then combine the two equation
30 =3y+2y this is 30=5y which is y=6
3 = 3x-3y so enter y=6 into this equation
3=3x-3*6
3=3x-18
3x=21
x=7
solve for x 2|x|+5=11
Answer:
Solve for x over the real numbers:
abs(x) = 3
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
Answer: x = 3 or x = -3
Step-by-step explanation:
please help me!!!!!
one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month he rented 9 movies and 7 video games for a total of $72 . find the rental cost for each movie in each video game
Answer:
The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25
Step-by-step explanation:
Let the rental cost of 1 movie be m.
Let the rental cost of 1 video game be v.
Step-by-step explanation:
need help solving a practice question
look at the step by step explanation.
Step-by-step explanation:
Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.
Answer:
Complicated answer.
Step-by-step explanation:
So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.
1. The perimeter is actually 24
2. The side lengths are actually 4
Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!
A livestock pen is built in the shape of a rectangle that is four times as long as is wide. The total perimeter is 60 ft. Write an equation that models the perimeter in terms of width and/or length, find the length and width.
Answer:
Perimeter = 60ft = 2(4x + x)
breadth = 6ft
length = 24ft
Step-by-step explanation:
Perimeter = 2 (L + B)
L =length
B = Breadth
x= breadth
4x = length
Perimeter = 60ft = 2(4x + x)
Dividing both sides by 2 :
30ft= 4x + x
30ft = 5x
divide both sides by 5
6ft= x
breadth = 6ft
length = 4x= 4 x 6 = 24ft
What is the distance from C to D?
A. 5 units
B. 1 unit
C. 25 units
D. 7 units
Answer:
Option A
Step-by-step explanation:
According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,
[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]
NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.
According to the question ,
Coordinate of C = (2 , -1)
Coordinate of D = (5 , 3)
Using distance formula ,
[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]
[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
Identify the correct Triangle Congruence Theorem that describes the figure below.
A. SAS
B. ASA
C. AAS
D. SSS
E. HL
Answer:
ASA
Step-by-step explanation:
Don't worry I just know