Answer:
The ordered pair (15, 12) means that 15 pounds of beans cost $12.
Step-by-step explanation:
(20, 16)
(x, y)
x is along the x-axis and y is along the y-axis.
x = 20 = 20 pounds of beans
y = 16 = 16 is the cost of the beans
(15, 12)
x = 15 is 15 pounds of beans
y = 12 is 12 for the cost of the beans
Answer: 15 pounds of beans costs 12 dollars
Step-by-step explanation:
if the x-axis represents the pounds of beans, then any x-coordinate will be beans.
Paul and Quinn share some money in a ratio 3:2, Paul gets 60 more than Quinn, how much does Quinn get
Answer: 120
Step-by-step explanation:
3+2=5
Let x be the amount of money to be shared
Paul’s share which is (3/5)x is 60+ Quinn’s share which is (2/5)x
Therefore
(3/5)x= (2/5)x + 60
(3/5)x - (2/5)x= 60
(x/5)=60
Cross multiply
x= 60*5=300
It means that Quinn’s share is (2/5)(300)= 120
The amount of money that Paul and Quinn have will be $180 and $120, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Paul and Quinn share some cash in a proportion of 3:2, Paul gets 60 a larger number than Quinn.
Let 'x' be the share of Paul and 'y' be the share of Quinn. Then the equation is given as,
x: y = 3: 2 ...1
x = y + 60 ...2
From equations 1 and 2, then we have
(y + 60) / y = 3/2
2y + 120 = 3y
y = 120
Then the value of the variable 'x' is given as,
x = 120 + 60
x = 180
The amount of money that Paul and Quinn have will be $180 and $120, respectively.
More about the solution of the equation link is given below.
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If 4 is a root of the quadratic equation
x² - bx - 22 = 0
a. Find the value of b
b. Find the other root
Answer:
Step-by-step explanation:
x²-bx-22=0
put x=4
4²-4b-22=0
16-4b-22=0
-4b-6=0
2b+3=0
b=-3/2
x²-3/2x-22=0
2x²-3x-44=0
2x²-11x+8x-44=0
x(2x-11)-4(2x-11)=0
(2x-11)(x-4)
roots are 11/2,4
The required value of the b is -3/2, and another root of the given equation is -11/2.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
x² - bx - 22 = 0
As we know 4 is the root of the equation,
put 4 in the given expression,
(4)² -b(4) -22 = 0
16 -4b -22 = 0
b = -3/2
x² + 3/2x - 22 = 0
(x - 4)(x + 3/2) = 0
root are,
x = 4 and -11/2
Thus, the required value of the b is -3/2, and another root of the given equation is -11/2.
Learn more about simplification here:
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Explain how solving an equation with variables on both sides of the equation is different than solving an equation with a variable on only one side. Please use an example of each to show your work. You may use these examples or make up your own: 6x -9 = 15 16x - 20 = 44+ 5x show your work and explain your steps and why.
Answer:
See explanations below
Step-by-step explanation:
Given the equation
6x-9 = 15
Add 9 to both sides
6x-9+9 = 15+9
6x = 24
x = 24/6
x = 4
For the equation
16x - 20 = 44+ 5x
Since we have x variables on both sides, we will collect the like terms
16x - 5x = 44+20
11x = 64
Divide both sides by 11
11x/11 = 64/11
x = 64/11
x = 5.82
Hence the value of x is 5.82
HELP ME PLEASEEEEE PLEASEEEEE
Answer:
5.46π cm³
Step-by-step explanation:
Volume of sphere= 4/3πr³
= 4/3×π×(1.6)³ cm³
=5.46π cm³
hope this helped you!
Trigonometry Practice
Answer:
x = 16.20
Step-by-step explanation:
tan48 = 18/x
xtan48 = 18
x = 18/tan48
x = 16.20
Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.
Answer:
[tex]D(x)= x\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]Side = x[/tex]
Required
Represent the diagonal as a function
Using Pythagoras theorem, the diagonal is:
[tex]D^2= Side^2 + Side^2[/tex]
Substitute x for Side
[tex]D^2= x^2 + x^2[/tex]
[tex]D^2= 2x^2[/tex]
Take the square root of both sides
[tex]D= \sqrt{2x^2[/tex]
Split
[tex]D= \sqrt{2} * \sqrt{x^2[/tex]
[tex]D= \sqrt{2} * x[/tex]
[tex]D= x\sqrt{2}[/tex]
Express as a function.
[tex]D(x)= x\sqrt{2}[/tex]
please help me solve this
3) Sue bought a triangular shaped piece of wood
with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of
fabric, how much fabric will she need?
Answer:
12 inches of fabric
Step-by-step explanation:
Area of a triangle = hight x base
so 6 x 2 = 12
12 inches of fabric is your answer
Hope this helps :)
If she plans to cover the front with a piece of fabric. Then the amount of fabric that she needs will be 6 square inches.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Sue bought a triangular-shaped piece of wood with a height is 6 inches and a base of 2 inches.
She plans to cover the front with a piece of fabric.
Then the amount of fabric that she needs will be
The amount of fabric is given by the area of the triangle.
The area of the triangle will be
Area = 1/2 x 2 x 6
Area = 6 square inches
More about the triangle link is given below.
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pls answer this....................................................................................................................................................................................................................................................................................................................................................................................is -5x+10 proportional and if it has a positive y intercept
Answer:
d) the graph will not pass through (0, 0).
Step-by-step explanation:
a non-proportional graph doesnt start at 0/doesnt go through the origin.
Can anyone help me with this please.
I’ll mark you as a brainliest.
Answer:
x = 21
Step-by-step explanation:
5x + 18 = 7x - 24
=> 5x - 7x = - 24 - 18
=> -2x = - 42
=> x = -42 / -2
=> x = 21
Hope it helps :)
Please mark my answer as the brainliest
pls help me with this multiple choice !
Answer:
C
Step-by-step explanation:
[tex] \sin(30) = \frac{y}{32} \\ y = 16 \\ \cos(30) = \frac{x}{32} \\ x = 16 \sqrt{3} [/tex]
PLEASE HELP NOW,WILL GIVE BRAINLEIST!!!
Simplify the expression and show all work.
9(3x+4y+10)+4(5x-2y-4)
Answer:
47 x + 28 y + 74
Step-by-step explanation:
PLEASE HELP
Special Right Triangles and Pythagorean Theorem
1. Find the length of the missing side.Leave your answer in the simplest radical form.
please show work
Answer:
x = 14
Step-by-step explanation:
15² = x² + 6²
225 = x² + 36
189 = x²
√189 = x
x = 13.7
x = 14
Three friends went to Texas Roadhouse for dinner. The total bill was $76.25. They left the server a 20% tip and the Montgomery County tax rate is 9.5%.
Answer:
$68.24
Step-by-step explanation:
Three friends went to Texas Roadhouse for dinner. The total bill was $76.25. They left the server a 20% tip and the Montgomery County tax rate is 9.5%.
Given data
The total bill was $76.25
tip
=20/100*76.25
=0.2*76.25
=15.25
Tax
=9.5/100*76.25
= 0.095*76.25
=$7.24375
In all the bills is 76.25-15.25+7.24375
=61+7.24375
=$68.24
pls what is 2,504+140+160 plss
Answer:
2804
Step-by-step explanation:
2504 + 140 + 160 = 2804 (hint: add the 140 + 160 first. It sums up to 300 which is easy to add to 2504)
Help me cuz yah gurl gotta test UwU
Answer:
got u
Step-by-step explanation:
SOLVE THIS PROBLEM PLEASE EXPLAIN HOW IT IS CORRECT PROVIDE! ASAP PLS THANK YOU SO MUCH FOR HELPING 10+ POINTS
Answer:
14x7=98
Step-by-step explanation:
First you see the line going down and there is the height 7 you can move that tiny triangle to the left where the parallelogram can be made into a rectangle.
all you need is to multiply base x height
base 14cm height 7cm pls brainliest
hope this helps!
A rectangular garden is to cover 416 square feet of area. If the width is 10
feet less than the length, find the dimensions of the garden.
Answer:
Length = 26 feet, Width = 16 feet
Step-by-step explanation:
Let the length be l.
Width b = l-10
The area of a rectangular garden, A = 416 feet²
We need to find the dimensions of the garden. The area of a rectangular shaped object is given by :
[tex]A=lb\\\\l(l-10)=416\\\\l^2-10l-416=0\\\\l=26\ ft,-16\ ft[/tex]
Neglecting the negative value, the length of the garden is 26 feet and the width is 12-10 = 16 feet.
Someone plz help me I will give brainliest!!
Answer
well sorry cant answer the other question see if it works on here
Step-by-step explanation:
How do you write 0.5 as a percentage?
Solve 4x-2 if x=8 what would it be I’m a little stuck
Answer:
30
Step-by-step explanation:
4x - 2
4(8) - 2
32 - 2
30
You will plug 8 in the x place since x = 8 and then solve the rest. Hope this helps, thank you !!
2 ( n - 7 ) = 20
What is n?
Answer:
The answer is n = 17
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Hoped this helped!
brainly, please?
please answer this quickly
Answer:
Step-by-step explanation:
Please help me. what is 10x10+4
104
Step-by-step explanation:
EUJDJFKFKDEISHXHJRD
Answer:
104
10 × 10 = 100
100 + 4 = 104
Therefor, the answer is 104.
Find the value of x pls help thank u so much
Answer:
7.81
Step-by-step explanation:
Answer:
[tex] \sqrt{66} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]BD = \sqrt{6 \times 5} = \sqrt{30} \\ \\ In \: \triangle ABD: \\ by \: pythagoras \: theorem : \\ \\ AD^2 = AB^2 + BD^2 \\ \\ {x}^{2} = {6}^{2} + {( \sqrt{30}) }^{2} \\ \\ {x}^{2} = 36 + 30 \\ \\ {x}^{2} = 66 \\ \\ x = \sqrt{66} [/tex]
Help please the problem is in the picture below.
Answer:
Step-by-step explanation:
C=pi times 4
C= 3.14 times 4
C=12.56
Hey guys please help if I did this question correct if not can you answer it for me I would give you a Brainliest answer if you answer and that is NO JOKE❤
Answer:
Hope this helped :D Because summation means adding both values. So when we add negative integer, it will be more negative and hence resultant value will be smaller than both the integers.
The circumference of a circular garden is 106.76 feet. What is the radius of the garden?
Answer:
16.9659
Step-by-step explanation:
you have to divide the circumference by pi, then you will have your diameter, after that you have to divide the diameter by 2 to get your radius
A city has a population of 350,000 people, suppose that each year the population grows by 5%. What will the population be
after 14 years?
Answer:
595,000
Step-by-step explanation:
find 5% of the present population
5/100*350,000 =17,500
there fore the population increases by 17,500 yearly
in 14 yrs time
=(14*17500) + 350,000
=245000+350000
=595000
Find the area of the figure.
22;
yd
21 syd
The area of the figure is
lyd?
Answer:
area = 462
Step-by-step explanation: