Answer:
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Answer:
(20, 12 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 76 → (1)
- 2x + 5y = 20 → (2)
Adding the 2 equations term by term will eliminate the x- term
0 +8y = 96
8y = 96 ( divide both sides by 8 )
y = 12
Substitute y = 12 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(12) = 76
2x + 36 = 76 ( subtract 36 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
solution is (20, 12 )
Write (2x – 1) (3x – 1) in standard form.
Answer:
6x^2-5x+1
Step-by-step explanation:
Use the foil method:
multiply 2x with 3x and -1.
then multiply -1 with 3x and -1
when multiplied, you should have gotten 2x×3x=6x^2, then 2x×-1, then -1×3x=-3x, then you put all of the answers in order from variables with exponents to normal variables to non variables
What’s 3% of 4000 and how u find it
Answer:
First write it as 0.03 × $4,000. Then multiply 3 × $4,000 = $12,000. Lastly put the decimal point where it gives the answer two decimal digits: $120.00.
Step-by-step explanation:
Answer:
3% of 4,000 = 120.
Step-by-step explanation:
To find the answer we have to divide 3 by 100, which equals 0.03. Now multiply 0.03 by 4,000 and we get 120. Therefore, 120 is our answer.
Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. What expression could you use to determine the total cost of the fabric? If she bought 5 yards of satin fabric and 8 yards of cotton fabric, how much did Angeline spend in all?
Answer:
$70.77
Step-by-step explanation:
Cost of 's' yards of satin fabric= 8.09*s = 8.09s
Cost of 'c' yard of cotton fabric = 3.79 * c = 3.79c
Total cost of fabric = 8.09s + 3.79c
s = 5 yards ; c = 8 yards
Plugin the value of s and c in expression,
8.09*5 + 3.79*8 = 40.45 + 30.32
= $ 70.77
The first terms in the sequence are 1,4, 9, 16 ... what’s the next term in the pattern?
Answer:
25, 36, 49
Step-by-step explanation:
4 - 1 = 3
9 - 4 = 5
16 - 9 = 7
25 - 16 = 9
36 - 25 = 11
49 - 36 = 13
It goes up by odd numbers
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(8x-9)°
63°
70°
Answer:
x= 7
Step-by-step explanation:
Theorem: The sum of the angles of a triangle is 180
Memorize that theorem
8x - 9 + 63 + 70 = 180
8x + 124 = 180
8x = 56
x= 7
16. A cellphone family plan costs $49 per month plus $.05 per text. Write an equation for the monthly bill b when t texts are sent.
Which systems of equations have infinite solutions
2x+y 31
+ y = 18
2x+y 10
изу +7
y 14 - 2x
0x3y12
y 13 - 2
1x 3.10
2x + y 14
X 13 - 2y
2x+y 17
Ox3y - 61
In Greenville, the library is 8 miles due east of the post office and the zoo is 6 miles due south of the library. What is the distance from the post office to the zoo?
Answer:
10 miles
Step-by-step explanation:
Find the sum of the arithmetic sequence.
-10, -7, -4, -1, 2, 5, 8
Answer:
s7= -7
Step-by-step explanation:
i have travelled 12 metres on hill during this journey i have risen in height bye 3 metres what is the gradient of this
Answer:
Step-by-step explanation:
sinθ = 3/12 = 0.25
θ = arcsin(0.25) ≈ 14.5°
If person travelled 12 metres on hill and have risen in height by 3 metres then the gradient of this problem is 14.5°.
What is gradient?Gradient is the degree of inclination or the rate of ascent or descent.It is an inclined surface, grade, ramp.
How to find gradient?The hill and the road through which person travelled forms a right angled triangle. In a right angled triangle sin a is equal to Perpendicular/Hypotenuse where a is angle opposite to perpendicular.
In this we have to apply the above rule:
sin a=3/12
sin a=1/4
sin a=0.25
a= [tex]sin^{-1}[/tex]0.25
a=14.5
Hence the gradient of the problem is 14.5°.
Learn more about gradient at https://brainly.com/question/23016580
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2x+2y=4 and -3x-2y=-7
Answer: You didnt tell me how to solve it, but I used subsitution. For ubsitution the answer is, (3,-1)
Step-by-step explanation:
Joe works for a charity. Each year the charity gives money to different projects. The charity has a total of eight thousand nine hundred and sixty-eight pounds to give to the projects this year.
Answer:
[tex]Each =\pounds 1121[/tex]
Step-by-step explanation:
See comment for complete question.
Given
[tex]Total = \pounds 8968[/tex]
[tex]Projects = 8[/tex]
Required
Determine the amount allotted to each
From the question, we understand that each project gets each allocation.
So, the amount of each is:
[tex]Each =\frac{Total}{Projects}[/tex]
[tex]Each =\frac{\pounds 8968}{8}[/tex]
[tex]Each =\pounds 1121[/tex]
Each project gets £1121
Can someone please help me k(x) = 4x2 + 1; k(-3)
Answer:
37
Step-by-step explanation:
k(x) = 4x2 + 1
[tex] = 4( - 3) {}^{2} + 1 \\ 4(9) + 1 \\ 36 + 1 \\ 37[/tex]
what should be added to
11/21 to make it
19/21
To find what needs to be added subtract the two numbers:
19/21 - 11/21 = 8/21
You need to add 8/21 to 11/21 to get 19/21
The kindergarten teachers bought fruit flavored juice boxes for their End-of-Year party. Each individual juice box contains 225 milliliters of juice. Each package contains 8 boxes. There are 1,000 milliliters in 1 liter.
Answer:
5,000000
Step-by-step explanation:
so imultiplyied
Solve for x. (Round to the nearest tenth)
Answer:
13.7
Step-by-step explanation:
fill the numbers in using pythagorean theory
[tex]a^{2} + b^{2} = c^{2}[/tex]
(the hypotenuse has to be [tex]c^{2}[/tex])
[tex]9.2^{2} + b^{2} = 16.5^{2}[/tex]
[tex]84.64 + b^{2} = 272.25[/tex]
[tex]b^{2} = 187.61[/tex]
(to get [tex]b[/tex] alone you have to find the square root of both sides)
[tex]b = 13.69707[/tex]
round that and you get
[tex]b = 13.7[/tex]!
pls help me with this ! thank you :)
Answer:
2 is the correct answer
hope this will help you
2. Use the equation 3x + 4y = 2.
a) Write another equation that will create a linear system
with each number of solutions.
i)
ii) one
üü) infinitely many
none
Verify your answers for part o)
b)
Answer:
x= −4 /3 y+ 2/ 3
Step-by-step explanation:
oof oof oof I need help again lol
Answer:
The first one is 0.6
The second one is -2.8
The third one is -3
Step-by-step explanation:
Have a nice day! :)
Can someone help me with this?
The possible answers are:
9.04
95.55
90.15
108.51
54.26
Thank you!!!
Answer:
108.51
Step-by-step explanation:
A father is 20 years older than his son. Five years ago,he was three times as old as his son was.Find their present ages
Answer:
Dad=35, Son=15
Step-by-step explanation:
Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:
x+20−5=3(x−5)
x+15=3x-15
x=15
So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!
The speed of the current in a river 6 mph. A very operator who works top part of the river is looking to buy a new boat for his business. Every day, his route takes him 22.5 miles each way against the current back back to the dock, and he needs to make his trip any tour of nine hours. He has a bow in mind, but he can only test it on a leak where there is no current. How fast must the boat go on the lake in order for it to serve the ferry operators needs?
Answer:
9 mph
Step-by-step explanation:
Speed of current = 6 mph
Distance to travel one way = 22.5 miles
Let speed of the ferry be [tex]x[/tex] mph
Total time taken for round trip is 9 hours
One way the ferry will be going with the current and in the other way the ferry will be going against the current so
[tex]\dfrac{22.5}{x+6}+\dfrac{22.5}{x-6}=9\\\Rightarrow \dfrac{x-6+x+6}{x^2-36}=\dfrac{9}{22.5}\\\Rightarrow \dfrac{2x}{x^2-36}=0.4\\\Rightarrow \dfrac{2x}{x^2-36}-0.4=0\\\Rightarrow 2x-0.4x^2+14.4=0\\\Rightarrow 0.4x^2-2x-14.4=0\\\Rightarrow 4x^2-20x-144=0\\\Rightarrow x=\dfrac{-\left(-20\right)\pm \sqrt{\left(-20\right)^2-4\times 4\left(-144\right)}}{2\times 4}\\\Rightarrow x=9,-4[/tex]
So, the speed of the boat in still water needs to be 9 mph both ways.
Write a real life scenarlo that can be represented by the integer -55
Answer:
I deposit $500 in my bank from my check this week. I have to withdraw $550 from my bank to pay my medical bills. I am short -55/55 dollars so I wait to pay my medical bills.
I owe $60 to my school for damage on a school laptop. I only have $5 so I am 55 dollars short.
I withdraw $2,000 from my bank to deposit $1950 a week later. I want to deposit the same amount of money I put last week. I am short 55 dollars.
Step-by-step explanation:
I put different scenarios because I didn't know if any of them were good enough.
Write an equation in slope-intercept form of the line shown.
Answer:
y=2x-2
Step-by-step explanation:
The slope is 2 and your y intercept is already given as -2.
Slope intercept is basically y=mx+b
plug it in so you get y=2x-2
What is the measure of ZXYZ?
113*
A
37"
Z
A. 38°
B. 56.5°
C. 760
O.
D. 75°
Answer:
C
Step-by-step explanation:
The solution is, the measure of ∠ZYC is 108 degrees.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Given:
m∠XYZ = 72 degrees
m∠XYZ and m∠ZYC form a linear pair.
Let's find the measure of ∠ZYC.
To find the measure of angle ZYC, apply the Linear Pair of Angles theorem which states that the sum of angles that form a linear pair is 180 degrees.
Hence, we have:
m∠XYZ + m∠ZYC = 180
72 + m∠ZYC = 180
• Subtract 72 from both sides:
72 - 72 + m∠ZYC = 180 - 72
m∠ZYC = 180 - 72
m∠ZYC = 108 degrees.
Therefore, the measure of ∠ZYC is 108 degrees.
ANSWER:
C. 108°
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Complete question:
If ZXyz and ZZYC form a linear pair and the measure of ZXYZ is 72°, whatis the measure of ZZYC?O A. 28°B. 18°C. 108°D. 72°
WILL MARK BRAINLIEST TO THE FIRST PERSON!!!!!
Answer:
3.9
Step-by-step explanation:
3.98371685
Need help don’t like math help
Answer:
50.65 grams
Step-by-step explanation:
Answer:
Step-by-step explanation:
Total amount of salt = 38.1 + 12.55 = 50.65 grams
38.10 +
12.55
50.65
46−[38−{27−(15−13−2¯¯¯¯¯¯¯¯¯¯¯¯¯)}]
=
Answer:
46-38-27-15+13+2
=-17
math question again plz help
answers are:
6, 8, 5, 11
If the perimeter is 3(2v-6)
Than
Pull out like factors : 2v - 6 = 2 • (v - 3)
Final result : 6 • (v - 3)
Given the result your answer would be 6.
I need help 911!!! I need thisss