Answer:
The answer is
[tex]\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]Step-by-step explanation:
The length of the segment connecting two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(1,3) and B(6,5)
The length is
[tex] |AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29} [/tex]
We have the final answer as
[tex] \sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units[/tex]
Hope this helps you
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
Answer: It would cost $9.45
$28.20/188= .15
then .15 times 63=9.45
Simplify the following: (-83)2
JK = 7x + 9
JL = 114, and
KL = 9x + 9,
Find KL.
Answer:
KL= 63
Step-by-step explanation:
JK=7x+9 , JL=114 , KL=9x+9 ( if the points are on the same line and point J at the end point and K in the middle)
*J_______________________K___________________________L
JL=JK+KL
114=7x+9+9x+9
114-18=16 x
16x=98
x=98/16=6
KL= 9x+9
KL=9(6)+9
KL= 63
A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.
The teacher spend some amount on buying costumes and microphones for 6 cast members.
GiveN:
Cost of each costume = $38Cost of each microphone = $cTotal money spent = $354Let's frame the equation. Total money is the total amount spent for 6 cast members.
Money spent on costumes = $38 × 6
Money spent on microphone = $c × 6
Equation:
[tex]6 \times 38 + 6 \times c = 354[/tex]
Taking 6 as common,
[tex]6(38 + c) = 354[/tex]
Dividing 6 from both sides,
[tex] \dfrac{6(38 + c)}{6} = \dfrac{354}{6} [/tex]
[tex]38 + c = 59[/tex]
Solving further,
[tex]38 + c - 38 = 59 - 38[/tex]
[tex]c = 21[/tex]
So, the cost of each microphone = $21
The teacher spent this much on each microphone.
#CarryOnLearning
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The teacher spent $21 on each microphone.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
The total amount of teachers have = $354
Cost of costume for all 6 members ;
6 × 38 = $228
Cost of microphone for all 6 members ;
6 × c = 6c
Now,
Cost of microphone + Cost of costume = total amount
6c + 228 = 354
6c = 126
c = 21
Hence "The teacher spent $21 on each microphone".
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What is 6x - 2 if x = 5
Answer:
28
Step-by-step explanation:
6x = 6 x 5 because x = 5.
6 x 5 = 30
30 - 2 = 28
Four times a number
decreased by ten is 34.
Write an equation & solve.
Solve for a.
ab + c = d.
Answer:
a = [tex]\frac{d - c}{b}[/tex]
Step-by-step explanation:
ab + c = d
- c - c
ab = d - c
divide both sides by b
a = [tex]\frac{d - c}{b}[/tex]
I hope this helps!!
Answer:
a=d-c/b
Step-by-step explanation:
ab+c=d
ab=d-c
a=d-c/b
x - 4 = 9
Help please
Answer:
13
Step-by-step explanation:
x-4=9
+4 +4
x=13
Answer:
13
Step-by-step explanation:
Step 1:
x - 4 = 9
Step 2:
x = 9 + 4
Answer:
x = 13
Hope This Helps :)
please tell me y what 6(2y−9)=-42
Answer:
y =1
Step-by-step explanation:
6(2y−9)=-42
Divide each side by 6
6/6(2y−9)=-42/6
2y -9 = -7
Add 9 to each side
2y -9+9 = -7+9
2y =2
Divide by 2
2y/2 = 2/2
y =1
Please help me
I need to submit it now!!
Answer:
Alicia is right, 11 is the answer
Step-by-step explanation:
ItS EaSy
Answer:
it is eleven I think first add 12 plus 3 then subtract 3 u get eleven so Alicia is right ✅
The Ford Mustang can travel at a rate of 160 miles in 2 hours. The Toyota Corolla can travel at a rate of 210 miles in 3 hours. Which car has faster rate?
Answer:
The Ford Mustang can travel at a faster rate.
Step-by-step explanation:
160/2 = 80/1 miles/hour -Ford Mustang
210/3 = 70/1 miles/hour - Toyota Corolla
3(5x-2)=15x-6 is their a solution or no
Answer: 0 = 0
Step-by-step explanation: there is no solution
which grows faster linear or exponential
exponential graphs grow faster
A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the function y = 3x + 28.5. George has cable service with 4 premium channels. Write the domain and range using set notation. What is the cost of George’s monthly cable service?
Answer:
domain all real numbers
range all real numbers
the cost of his monthly cable is $40.50 when you plug in 4
7/20 write the decimal from of each rational number and determine
Answer:
0.35
Step-by-step explanation:
Step 1:
7/20 = 35/100
Step 2:
35 ÷ 100
Answer:
0.35
Hope This Helps :)
Please answer this question! it's due in a few hours if you don't mind!
Answer: 45 Seconds
Step-by-step explanation: Because if you do 3/4=0.75 or 75%. Knowing that a minute is 60 seconds long. 75% of 60 is 45 Seconds.
Hope this helped!
Simplify the expression (5)2.
O 25
O-10
0-25
O 10
Combining Like Terms
Equation: 5x + 7y -2x + 3y
So I get why it could be simplified into 5x - 2x and 7y + 3y, but how do we get the operation to combine those two?
What I mean is what would go in the underline here -
5x - 2x _ 7y + 3y
Explanation please not just answer
Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Answer:
BC = 29Step-by-step explanation:
Point B is between A and C and the points A, B, and C are collinear so:
AB + BC = AC
487 + 5x + 8x + 709 = 91
13x + 1196 = 91
- 1196 - 1196
13x = - 1105
÷13 ÷13
x = - 85
BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29
2 (4z-1)=3(z+2) simplify
Answer:
z=8/5
Step-by-step explanation:
2(4z-1)=3(z+2)
distribute the 2 and 3
8z-2=3z+6
move 2 to the other side by adding 2
8z=3z+8
move 3 to the other side by subtracting 3
5z=8
divide both sides by 5
z= 8/5
The equivalent value of the expression is z = 8/5 = 1.6
Given data ,
Let the equation be represented as A
Now , the value of A is
2 ( 4z - 1 ) = 3 ( z + 2 )
On simplifying the equation , we get
2 ( 4z - 1 ) = 3 ( z + 2 )
So , the left hand side of the equation is equated to the right hand side by the value of 3 ( z + 2 )
Opening the parenthesis on both sides , we get
2 ( 4z ) - 2 = 3z + 6
8z - 2 = 3z + 6
Subtracting 3z on both sides , we get
5z - 2 = 6
Adding 2 on both sides , we get
5z = 8
Divide by 5 on both sides , we get
z = 8/5
z = 1.6
Therefore , the value of z = 8/5 = 1.6
Hence , the expression is z = 8/5 = 1.6
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PLEASE HELP! URGENT!
-1 +(-3) is units from -1 in the direction
Answer:
-4
Step-by-step explanation:
I’m doing angle relationships and I have to find angle measurements and I have this problem it’s a right angle and it has a line coming from the inner corner and under the like it says it’s 68 degrees and the one on top is the measurement I’m trying to figure out help?
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
d) 360
Step-by-step explanation:
Answer: D. R0, 360°
Step-by-step explanation: RIGHT ON EDGE 2023
is this the right andwer plz help i will mark you as brilliant
Answer:
No the answer is 35! :)
Step-by-step explanation:
Answer:
The Answer is Thirty five
Step-by-step explanation:
So you would multiply five by seven and get Thirty Five
Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2
Step-by-step explanation:
7+6x5-2
First we eliminate.
It isn't A. because they didn't use order of ops.
It isn't B. because they added 6 and 5 instead of multiplying.
Now, we simplify.
7+(6x5)-2
7+30-2
37-2
35
hope it helps!
7.2 times 1/9 I need help!
Answer:
8/10
Step-by-step explanation:
Step 1:
7 2/10 × 1/9
Step 2:
72/10 × 1/9
Answer:
8/10
Hope This Helps :)
7.2 times 1/9 is 0.8
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given:
7.2 times 1/9
=7.2* 1/9
=72/10* 1/9
=8/10
=0.8
Hence, 7.2 times 1/9 is 0.8
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5 and 3/4 divided by 1 and 1/2
Answer:Exact Form:
23/6
Decimal Form:
3.83
Mixed Number Form:
3 5/6
Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).
Answer:
Step-by-step explanation:
f(g(x))
g(x) = 7x -4
f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7
The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?
Answer:
She can make 20 baskets in 5 hours