Step-by-step explanation:
The main goal is to separate the values on opposite sides of the equal sign.
2 + 2x = 3 + 2x
-2 -2 ⬅Subtract 2 from both expressions
2x = 1 + 2x
-2x - 2x ⬅Subtract 2x from both sides.
0 = 1
Answer:
0 does not equal 1, which means that this equation is inconsistent. In other words, there is no solution. 0 does not equal 1, so 2 + 2x does not equal 3 + 2x.
I hope this helps! :)
Joanne wants to buy a dishwasher. The dishwasher costs £372. Joanne will pay a deposit of £36. She will then pay the rest of the cost in 4 equal monthly payments. How much is each monthly payment?
Answer:
£84
Step-by-step explanation:
The total cost of the dishwasher is: £372
The deposit she makes is: £36
Thus, she still has to pay the following amount:
£372 - £36 = £336
And this amount will be divided into 4 equal monthly payments. So, we must divide the amount that she still has to pay by 4.
Each one of this monthly payments will have a value of:
£336 ÷ 4 = £84
the answer is that each monthly payment will be of £84
i only need answer to number 1 btw. My teacher said dont use trig ratios?? so im very lost.
what is a complementary angle?
Answer:
A complementary angle are angles that add up to 90 degrees. For example, a 30 degree angle and a 60 degree angle are complementary angles because 30+60=90
Step-by-step explanation:
Answer:
Complementary angles are angles that add to a total of 90 degrees. An example of complementary angles are 44 and 46 degrees, because they sum to 90! Hope this helps you out!
Please answer CORRECTLY !!!!! Will mark BRIANLIEST !!!!!!!
Answer:
(−8x+1)(x+2)
Step-by-step explanation:
−8x^2−15x+2
−8x^2−15x+2
=(−8x+1)(x+2)
Answer:
(−8x+1)(x+2) Hope this helps!
Answer:
(-8x-1)(x-2)
Step-by-step explanation:
[tex]-8x^{2} +15x + 2=-8x^{2} +16x - x + 2[/tex]
-8x(x-2)-1(x-2)= (-8x-1)(x-2)
zsdxfghjkluygtfdsa halpp
Answer:
The answer would be B
Step-by-step explanation:
So you have a totl of 50 rings. You would then add the blue and yellow ones to get 20. Then you divide 20 by 50 and get .4 which is equivalent to 2/5
Answer:
B
Step-by-step explanation:
I agree that the answer is B
Please help! Correct answer only, please! Find the following product if possible. Explain if it is not possible. A. B. C. D.
Answer:
A
Step-by-step explanation:
To find the product of these matrices, what we need to do is to multiply whatever we have at a specific position in the first matrix by that which we have in the same position in the other matrix.
Thus, we have the following;
(1 * -2) (3 * 1)
(-2*3). (5 * 4)
(-2) (3)
(-6). (20)
This makes option A correct
A store sells shirts to the public at one pricing scale and wholesale at another pricing scale. The tables below describe the cost, y, of x shirts. Public A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 5, 9. Column 2 is labeled y with entries 24, 60, 108. Wholesale A 2-column table with 3 rows. Column 1 is labeled x with entries 18, 35, 50. Column 2 is labeled y with entries 162, 315, 360. How do the slopes of the lines created by each table compare?
Answer:
The slope of wholesale table is 3/4 times of the slope of the Public table
Step-by-step explanation:
Answer:
The slope of wholesale table is 3/4 times of the slope of the Public table
Step-by-step explanation:
because
Represent each of the following variables in the appropriate letters.Next determine wether the variable has a fixed value or a changed value.
a)The score Sarah got in a Mathematics test.
b)The distance between the Zen house and the school.
c)Temperature on the summit of Mount Everest in a day.
Step-by-step explanation:
a) Let 'm' represents score in a Mathematics test. The variable has a fixed value because the marks Sarah obtained in her test will not change
b) Let 'd' represent the distance between the Zen house and the school. The variable has a fixed value because by using the same route, the distance will always remain constant.
c) Let 't' represent the temperature on the summit of Mount Everest. The variable has a changed value because the temperature may alter depending on the time of day and also climatic conditions which will affect the temperature.
Finds the missing values of the variables. the diagram is not to scale.
Answer:
A
Step-by-step explanation:
Because the angle with measure 124 degrees and angle y are a linear pair, their values must add up to 180 degrees. Therefore, y=180-124=56 degrees. Since all of the angles in a quadrilateral add up to 360 degrees, x must be 360-56-65-125=114 degrees. This means that the correct answer is choice a. Hope this helps!
solve by cross multiplication method 2x-7y=-10 and 3x+2y-10=0
Answer:
x=2
y=2
Step-by-step explanation:
Using the following image, if you EG = 59, what are x, EF, and FG.
Answer:
[tex]x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units[/tex]
Step-by-step explanation:
Given: [tex]EG =59 \,\,units[/tex]
To find: [tex]x,EF,FG[/tex]
Solution:
From the image, [tex]EG=EF+FG[/tex]
Put [tex]EF=8x-14\,,\,FG=4x+1\,,\,EG=59[/tex]
[tex]8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6[/tex]
[tex]EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25[/tex]
Therefore,
[tex]x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units[/tex]
Is the graph increasing decreasing or constant A ,B or C
Answer:
A.) constant
Step-by-step explanation:
The graph has a horizontal line that is neither increasing nor decreasing; therefore it is constant.
The given graph is constant because the line is parallel to the x axis, option A is correct.
The equation of the given graph is y=3.
The equation y = 3 represents a horizontal line that cuts across the y-axis at a height of 3.
This line is parallel to the x-axis and remains at a constant level of y = 3 regardless of the value of x.
There is no change in the y-value as x varies, the graph is considered constant.
Hence, the graph is constant.
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When Cara drives to work, it takes her 30 minutes to drive 15 miles. On her days off, she likes to drive to her favorite donut shop. It takes Cara 6 minutes to drive to The Dreamy Donut Shop at the same rate. How many miles away is The Dreamy Donut Shop?
Answer:
3 miles
Step-by-step explanation:
First, we find the rate at which she drives, that is her speed.
Speed is given as:
speed = distance / time
When Cara drives to work, it takes her 30 minutes to drive 15 miles. Her speed is:
s = 15 / 30 = 0.5 miles per minute.
She drives at the same rate to The Dreamy Donut Shop and it takes her 6 minutes.
From the formula of speed, distance is given as:
distance = speed * time
Therefore, the distance of The Dreamy Donut Shop is:
distance = 0.5 * 6 = 3 miles
The Dreamy Donut Shop is 3 miles away.
Answer:
The answer is 3 miles
Step-by-step explanation:
Find the circumference of the circle with the given radius or diameter. (Use 3.14 for it.)
diameter = 25 ft
a 39.25 ft
b. 78.5 ft
C. 490.63 ft
d. 1,962.5 ft
Answer:
B. 78.5 feet
Step-by-step explanation:
The circumference of a circle can be found using the following formula.
c=πd
We know that the diameter is 25 feet. We also know we are using 3.14 for pi.
d=25
π=3.14
Substitute these values into the formula.
c=3.14*25
Multiply the two numbers together
c=78.5
Add appropriate units. Circumference uses the same units as the diameter. The diameter is 25 feet, so the units are feet.
c=78.5 feet
The circumference of the circle is 78.5 feet, and the correct answer is B
The right answer is 78.5ft
please see the attached picture for full solution
hope it helps
good luck on your assignment
please help me with this
Answer:
54 square feet
Step-by-step explanation:
Area of a triangle is A = 1/2b*h
A = 1/2(9)(12)
A = 1/2(108)
A = 54 square feet
2+2x=3+2x explain why the equation does not have a solution
Subtracting [tex]2x[/tex] from both sides gives us the false statement [tex]2=3,[/tex] so this equation can never be true and thus has no solutions.
Calculate the circumference of the circle. Round to the nearest tenth.
Answer:
125.7 mm
Step-by-step explanation:
Circumference=πd=π·40≈125.66371 mm
3x+-2=-2 will give brainiest if ya answer :D
Answer:
x=0
Step-by-step explanation:
3x+-2=-2
Add 2 to each side
3x+-2+2=-2+2
3x = 0
Divide by 3
3x/3 = 0/3
x = 0
Please help!!!!!!!!!
Answer:
57 degree
Step-by-step explanation:
AB^2 = AC^2+CB^2-2ACCBcosC
AB=25cm
BC^2=AB^2+AC^2-2ABACcosA
A=56.6 degree
In Evan's senior class of 240 students, 85% are planning to attend college after graduation. What is the probability that a senior is chosen at random not planning to attend college after graduation?
Answer:
36% ,hope this helps
Step-by-step explanation:
1) 100 - 85 = 15
2) 240 times 15 devided by:100
3) equals 36
4) 36 %
Andrew is going to have a pool party for all his friends.The cost of renting the swimming pool for the day is a $30.00 flat rate pluse an additional $2.00 per person.answer the following qustion and let c reprsents cost and n represents the nunmber of people.
Write an equation to represtent the total cot for renting the pool. Please answer i need help
Answer: 30×2n=C
Step-by-step explanation:
30$ is flat fee so no variable
2$ dollars per person so "n" (the number of people) is times 2
= the final cost (C)
Billy invests £800 for 5 years in a savings account.
By the end of the 5 years he has received a total of £96 simple interest.
Work out the annual rate of simple interest.
Answer:24
Step-by-step explanation:
First solve:
800*5 = 4,000
Then:
96 divided by 4,000 = 0.024
0.024 in percent = 24%
Thus, 24% will be your answer
write the following algebraically using x as your unknown “i think of a number, multiply it by 3, add 4 and square the result”
Answer:
(3x +4)²
Step-by-step explanation:
I think of a number x, then i multiply it by 3, add 4 and square the result.
Representing this mathematically,
x * 3= 3x
Then add 4 which will be 3x + 4
Squaring the result would be (3x +4)².
So, if we give our unknown which is x the value of say, 3.
Substituting the value of x into that equation would be easy.
(3 (3) +4)²
= (9 + 4)²
= (11)²
=132.
plz help!
solve for t
Answer:
T = i or -i
Step-by-step explanation:
Consider these steps:
t^2 = -1
t = √-1 or -√-1
t = i or -i
find the equation of the sides of an isosceles right angled triangle whose vertex is (-2,3) and the base is on the line x=0
Answer:
[tex]\large \boxed{y = x + 5; y = -x + 1}[/tex]
Step-by-step explanation:
This is an isosceles right triangle, so triangles ABD and CBD are congruent.
∠ ABD = ∠CBD = 45°
The slope of BC = tan(45°) = 1, and
The slope of BA = tan(-45°) = -1.
1. Equation of BC
The point-slope formula for a straight line is
y - y₁ = m(x - x₁)
x₁ = -2; y₁ = 3; m = 1
Substitute the values
[tex]\begin{array}{rcl}y - 3 & = & 1(x - (-2))\\y - 3 & = & x + 2\\y & = & x + 5\\\end{array}\\\text{The equation for the line is $\large \boxed{\mathbf{y = x + 5}}$}[/tex]
2. Equation of BA
x₁ = -2; y₁ = 3; m = -1
Substitute the values
[tex]\begin{array}{rcl}y - 3 & = & -1(x - (-2))\\y - 3 & = & -1(x + 2)\\y - 3 & = & -x - 2\\y & = & -x +1\\\end{array}\\\text{The equation for BA is $\large \boxed{\mathbf{y = -x + 1}}$}[/tex]
An isosceles right triangle has two equal length legs and the hypotenuse side as its base
The equation of the sides of the isosceles right triangle are;
x = 0 (equation of the base)
y = 1 - x
y = x + 5
The reason for arriving at the above equations are as follows:
The given parameters of the isosceles right triangle are:
The coordinate of the vertex of the triangle = (-2, 3)
The base of the triangle, x = 0
The required parameter:
The equation of the sides of the isosceles triangle
Strategy:
Define the terms and relate the given information with the given term definitions
Solution:
The base of an isosceles triangle is the side that form the equal base angles with the two equal sides of the triangle
In an isosceles right triangle, the two equal sides of the right triangle are the legs of the right triangle, and therefore, the base of the triangle is the hypotenuse side
The base angles of an isosceles right triangle, [tex]\theta _b[/tex] = 45°
The altitude of the triangle, y = (0 - (-2) = 2
The altitude is a perpendicular bisector of the base, therefore;
[tex]tan(\theta _b) = \dfrac{Altitude}{\dfrac{1}{2} \times Base \ length }[/tex]
Therefore;
[tex]Base \ length = \dfrac{Altitude}{\dfrac{1}{2} \times tan(\theta _b)}[/tex]
We get:
[tex]\mathbf{Base \ length} = \dfrac{2}{\dfrac{1}{2} \times tan(45^{\circ})} \mathbf{= 4~}[/tex]
The coordinate of the midpoint of the base is the horizontal line from the vertex to the base, and therefore, the coordinate of the midpoint of the base is x = 0, and y = 3 = (0, 3)
The base is 4 units long and half the base length = 4/2 = 2 units
The coordinates of vertex at the base is given by adding or subtracting 2 from the y-coordinates of midpoint of the base as follows;
Vertex coordinates at the base = (0, 3 + 2) = (0, 5), and (0, 3 - 2) = (0, 1)
The slope, m₁, of the side, s₁, with endpoints (-2, 3), and (0, 1), is found as follows;
m₁ = (1 - 3)/(0 - (-2)) = -1
Therefore, the equation of the side s₁ is (y - 1) = -1·(x - 0), which gives;
y = -x + 1
The slope, m₂, of the side, s₂, with endpoints (-2, 3), and (0, 5), is found as follows;
m₂ = (5 - 3)/(0 - (-2)) = 1
Therefore, the equation of the other side s₂ is (y - 5) = 1·(x - 0), which gives;
y = x + 5
The equation of the sides are; x = 0 (given), y = 1 - x, and y = x + 5
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How Do I Find The Answer To 320 = 3x + 16
｡☆✼★ ━━━━━━━━━━━━━━ ☾
320 = 3x + 16
-16 from both sides
304 = 3x
/3 on both sides
x = 304/3
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A regular polygon has 12 sides. Work out the size of each interior angle.
Answer:
150°
Step-by-step explanation:
Measure of each interior angle of polygon
[tex] = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(12 - 2) \times 180 \degree}{12} \\ \\ = \frac{10 \times 180 \degree}{12} \\ \\ = 10 \times 15 \degree \\ \\ = 150 \degree[/tex]
Lauren drove The 75 miles to the coast at 75 mph, but gets stuck in traffic and averaged 25 mph on the way back. How many total miles did Lauren Drive in this round trip
Answer:
150 miles
Step-by-step explanation:
In this problem, we are only interested in the distance that Lauren drove, this means that her average speed (75 mph to the cost, and 25 mph on the way back) does not matter since the distance remains the same. If one leg of trip is 75 miles long, the total mileage for the round trip is:
[tex]M=75+75\\M=150\ miles[/tex]
Lauren drove 150 miles.
In the triangle below x=? Degrees. Round to the nearest tenth.
Answer:
[tex]40[/tex] °
Step-by-step explanation:
[tex]tan(x)=\frac{8}{10} \\x=tan^{-1} (\frac{8}{10} )[/tex]
[tex]x=38.65980825[/tex]
Answer:
38.7
Step-by-step explanation:
A principal of $2500 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.
Answer:
$5979
Step-by-step explanation:
8.25% = 0.0825
1.0825^11 = 2.3917
2.3917 * 2500 = 5979.25 = 5979