The solution for the linear equation is a = -26/21, so the correct option is the first one counting from the top.
How to solve the linear equation?Here we have a mathematical statement that can be written as the following linear equation:
-a - 4/7= 2/3
To solve this for a, we just need to isolate a in one of the sides of the equation, so let's do taht.
-a - 4/7 = 2/3
a = -4/7 - 2/3
Now we need a common denominator in the right side, i will use 21.
a = -12/21 - 14/21 = -26/21
So the correct option is the first one.
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In March, Isaiah and Freddie had the same amount of money in their savings accounts. In April, Isaiah deposited $210 into his account. Freddie increased the money in his account by 15%. When they compared their balances, they found that they were still equal.
x + 210 = 1.15x where x is the amount in their accounts in March....subtract x from both sides 210 = .15x divide both sides by .15 x = $ 1400 Hope you get an A+ :))
Omar gave out a survey to some students in his school about their favorite color. 650 of those surveyed said their favorite color was blue. If 65% of the students surveyed said their favorite color was blue, how many students were surveyed in total?
The total number of students surveyed by Omar in his school is 1000.
Here, we are given that Omar conducted a survey of some students in his school about their favorite color.
650 of those surveyed said their favorite color was blue.
Further, 65 percent of the students surveyed said their favorite color was blue.
Let the total number of students surveyed be x
Then, according to the given information,
65% of x is 650
Thus, we can form the following equation-
65/ 100 × x = 650
0.65x = 650
x = 650/ 0.65
x = 65000/ 65
x = 1000
Thus, the total number of students surveyed by Omar in his school is 1000.
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What is the value of f(-1) when f(x) = 2x + 2?
Enter your answer in the box.
f(−1) = □
(can someone explain it instead of just giving answer, the teachers suck at teaching anymore at least where i go)
The value of f(-1) when f(x) = 2x + 2 will be 0.
How to illustrate the expression?In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.
In this situation, we want to know the value of f(-1) when f(x) = 2x + 2. This will be Illustrated as:
f(-1) = 2x + 2
= 2(-1) + 2.
= -2 + 2
= 0
The value is 0.
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Name the property illustrated.
(7 + 8) + 9 = 7 + (8 + 9)
Answer:
24=24 ( associative property )
Mr.Johnson orders gravel to cover his driveway. Below is a top view of the driveway. The gravel will be spread 3 inches deep.Write the depth of the gravel in ft
If Mr. Johnson orders gravel to cover his driveway, below is a top view of the driveway and the gravel will be spread 3 inches deep, then the depth of the gravel in feet is 0.25 feet
The gravel will be spread 3 inches deep
Here we have to convert the depth in inches to the depth in feet
To convert the inches to feet, we have to divide the inches by 12.
Then,
3 inches = 3/12 feet
= 0.25 feet
Hence, if Mr. Johnson orders gravel to cover his driveway, below is a top view of the driveway and the gravel will be spread 3 inches deep, then the depth of the gravel in feet is 0.25 feet
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you are driving on a road that has a 8% uphill grade. this means that the slope of the road is 8/100. approximate the amount of vertical change in your position when you drive 200 feet.
the amount of vertical change in your position when you drive 200 feet is 16 feet
you are driving on a road that has a 8% uphill grade.
this means that the slope of the road is 8/100.
approximate the amount of vertical change in your position when you drive 200 feet
Therefore our proportion is: (where x is the "vertical" rise)
Slope is defined as rise so
8/100 = x/200
(8*200)/100 = x
16 feet = x
Hence , the amount of vertical change in your position when you drive 200 feet is 16 feet
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A trough at the end of a gutter spout is meant to direct water away from the house. The
homeowner makes the trough from a rectangular piece of of aluminum that is 20 in. long and 12
in. wide. He makes a fold along the long sides a distance of x inches from the edge. If he wants the
trough to hold 360 in³ of water, how far from the edge should he make the fold?
Answer:20 in * (12 in - 2X in) * (X in) = 360 in3
This can be simplified by dividing both sides by 20 in:
20 in * (12 in - 2X in) * (X in) = (360 in3/ 20 in)
After dividing both sides by 20 in:
(12 in - 2X in) * X in = 18 in2
Distribute X in. across (12 in -2X in):
12X in2 - 2X2 in2 = 18 in2
1.Subtract 18 in2 from both sides:
12X in2 - 2X2 in2 - 18 in2 = 0
2. Rearrange the equation:
-2X2 in2 + 12X in2 - 18 in2 = 0
This for matches the form for a quadratic equation (Ax2 + Bx +C = 0)
You can then plug these values into the quadratic formula to solve for X
so your answer is X=3
i came up to some degree, but not sure. i will post my notes after.
Note that sides AD and BE are perpendicular on the same side AC. So the angles CAD and CBE, both are equal to 90 degrees.
Beig the corresponding angles, ADC and BEC are also equal.
And the angle ACD is the common angle in both the triangles.
Therefore by the AAA criteria, the triangles CAD and CBE are similar.
So their corresponding sides must be proportional,
[tex]\begin{gathered} \frac{AD}{BE}=\frac{AC}{BC} \\ \frac{4\sqrt[]{138}}{\sqrt[]{138}}=\frac{6\sqrt[]{3}+BC}{BC} \\ 4=\frac{6\sqrt[]{3}+BC}{BC} \\ 4BC=6\sqrt[]{3}+BC \\ 3BC=6\sqrt[]{3} \\ BC=2\sqrt[]{3} \end{gathered}[/tex]Write a rule of reflection
???????
The rule for the reflection is (x, y) ---> (x+6, y).
what is Reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.
Given:
The coordinates of L is ( -3, 6).
Now, after the reflection
The x- coordinates increases +6 units on right side.
and, y- coordinates remains the same.
Hence, the rule for the reflection is (x, y) ---> (x+6, y).
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The price of Stock A at 9 A.M. was $12.17. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $12.67. It begins to decrease at the rate of $0.08 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
If at noon the price of Stock B was $12.67. It begins to decrease at the rate of $0.08 each hour. If the two rates continue, the number of hours that the prices of the two stocks be the same is 3.57 hours.
Determining the stock number of hoursLet the hours when they equalize be h
Hence,
12.17 + .06h =12.67 - .08h
Combine like terms
.06h + .08h=12.67 - 12.17
.14h=.5
Divide both sides by .14h
h = .5/ .14
h = 3.57 hours
Therefore we can conclude at the number of hours is 3.57 hours .
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simplify using suitable property -4/5+-1/3+1 2/5+7/3
PLEASE DONT SPAM
WILL MARK BRAINLIEST
Answer:
2
Step-by-step explanation:
[tex]=-\frac{12}{15} + -\frac{5}{15} + \frac{12}{15} + \frac{35}{15} \\=\frac{30}{15} \\= 2[/tex]
Answer:
39/15
Step-by-step explanation:
-4/5+-1/3+1 2/5+7/3
Convert all to fractions having the least common denominator. The mixed denominators of 3 and 5 could be converted to denominators of 15, thereby allowing them to be numerically combined.
-4/5+-1/3+1 2/5+7/3
(-4/5)(3/3) = -12/15
(-1/3)(5/5) = -5/15
(+1 2/5) = (5/5 + 2/5) = (7/5)(3/3) = 21/15
(7/3)(5/5) = 35/15
Since we have a common denominator (15) we can now sum the individual fractions by adding their numerators:
-12 -5 + 21 + 35 = 39
Now add back the denominator
The result is 39/15
if angles k and j are supplementary and adjacent, which statement about the two angles is true ?
Let's evaluate the statements:
Supplementary angles: that means the sum of ∠K and ∠J is 180°.
Adjacent angles: that means that ∠K and ∠J common side and a common vertex.
So, let's observe the angles:
Given:
Linear pairs of angles are those two adjacent angles whose sum is 180°.
Answer: ∠K and ∠J are linear pairs.
If x = 15 units and h = 12 units, then what is the area of the rhombus pictured above?
A.
225 square units
B.
45 square units
C.
180 square units
D.
60 square units
The rhombus has an area value of 180 square units
How to calculate the area of the rhombus?From the question, the given parameters arr
Shape = Rhombus'
Base = x
Height = h
Also, from the question, we have
x = 15
h = 12
The above parameters mean that
Base = 15
Height = 12
The area of the rhombus is then calculated using the following area formula
Area = Base * Height
Substitute the known values in the above equation
This gives
Area = 15 x 12
Evaluate
So, we have the following equation
Area = 180
Hence, the area is 180 square units
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The area of the rhombus is 180 square units, which is the correct answer would be an option(C).
What is the area of the rhombus?The area of the rhombus is calculated as the product of its height and base.
The formula of the area of the rhombus is following
Area of the rhombus = Height × Base
The given rhombus has :
Height (h) = 12 units
Base (x) = 15 units
Area of the rhombus = Height × Base
Area of the rhombus = h × x
Substitute the values of x = 15 and h = 12 in the above equation
Area of the rhombus = 15 × 12
Area of the rhombus = 180 square units
Hence, the area of the rhombus is 180 square units
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represented by the equation 5x + 2y = 10.
How is the slope of the line related to values of
A, B, and C in standard form Ax + By = C?
-Can you please explain how to solve this problem? I wouldnt want only the answer. Thank you so much
The equation given 5x + 2y = 10 given, represents the slope considering the form Ax + By = C: by slope = - A/B = -5/2
How to find the slope of the lineAx + By = C
rewriting in standard form which is y = mx + c, where m is the slope, is done as follows
By = -Ax + C
y = ( - Ax + C ) / B
y = - Ax/B + C/B
comparing with standard form the slope, m is - A/B
using the other equation 5x + 2y = 10
rewriting gives
y = -5x/2 + 10/2
the slope here is -5/2
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Points X(6,4) and Y(-4,-6) are the endpoints of XY. What are the coordinates of point Z on XY such that XZ is 4/5 the length of XY
Answer:
(-2, -4)
Step-by-step explanation:
Z_x = (Y_x - X_x) * (4/5) = (-4 - 6) * (4/5) = -8
Z_y = (Y_y - X_y) * (4/5) = (-6 - 4) * (4/5) = -8
-8 + 6 = -2
-8 + 4 = -4
plsssssssssssssss helpppppppppppppppppppppp
A farmer planted 978 seeds each day for 30 days. How many seeds did the farmer plant in total? 29,140 seeds 29,240 seeds 29,340 seeds 29,440 seeds
Answer:
29,340
Step-by-step explanation:
978 x 30 =29,340
11=u/28 what does U =
U=308
11=308/28
it right trust me
Answer:
What do you mean by what does U? if is what I think it is, then:
Step-by-step explanation:
Solve for you by simplifying both sides of the equation, then isolating the variable.
u=308
The answers help im confused
Answer:
P' (3, 1)
Q' (5, 1)
R' (5, 4)
S' (3, 4)
T' (3, 3)
U' (1, 3)
V' (1, 2)
W' (3, 2)
Step-by-step explanation:
What does it mean when a point is translated horizontally to the right by 6 units? That means its x coordinate is increased by 6 units, the y-coordinate is unchanged
(If it was translated 6 units to the left, it's x coordinate would decrease by 6 units)
So if we had a point say (1, 1) then its new x-coordinate will be (1+6, 1) or (7,1) The y-coordinate stays unchanged if the translation is horizontal
When a point is translated vertically by 6 units, its x-coordinate is unchanged but the new y coordinate is increased by 6 units (-6 units if the translation is vertically down)
So with a point (1, 1), an up translation will result in a new point (1, 7)
If both translations are applied both x and y coordinates will change to
(7, 7)
To figure out the new coordinates denoted by P'Q'R'S'T' of each of the points PQRST of the given figure:
Add 6 to the x-coordinate of each point and at the same time add 6 to the y-coordinate of that point
If you look at the graph, the original points and translated points for 6 units to right and 6 units up are
P(-3, -5) which translates to P'(-3 + 6, -5 + 6) or P'(3, 1)
The other new points are calculated the same way by adding 6 to both x and y coordinates
Q(-1, -5) ==> Q'(5, 1)
R(-1, -2) ==> R'(5, 4)
S(-3, -2) ==> S'(3, 4)
T(-3, -3) ==> T'(3, 3)
U(-5, -3) ==> U'(1, 3)
V( -5, -4) ==> V'(1, 2)
W(-3, -4) ==> W'(3, 2)
The attached graph shows the translated figure with the translated points. Essentially the original figure has been shifted 6 units to the right and 6 units up
Solve the equation 6p = 2(5 - 2p).
Answer:
p=1
Step-by-step explanation:
6p=2(5-2p)
6p=10-4p
Add 4p on both sides
10p=10
Divide 10 on both sides
p=1
Hello!
Let's solve:
[tex]6p=2(5-2p)\\\\\text{Multiply 2 into the function in the parentheses}6p=10-4p\\\\\text{Add '4p to both sides}\\6p+4p=10-4p+4p\\10p=10\\\\\text{Divide both sides by 10}\\\frac{10p}{10} =\frac{10}{10} \\p=1[/tex]
Hope that helps!
Emma has 3/4 credits. It requires 1/4 of a credit to play a video game for one minute. How long can Emma play the video game with her credits? Use standard algorithm to show your work.
Emma can play video games for 3 minutes using the available credits
Credit available with Emma = 3/4 credits
Credits required to play a video game for one minute = 1/4
Credits: In an electronic gaming setting, a value earned through the exchange of cash or currency equivalents is referred to as "gameplay credits." It can also be obtained through gaming as a prize. You can exchange gameplay credits for money or money equivalents.
Time Emma can play video games with the credits:
Credit available with Emma/Credits required to play video game for one minute
= (3/4)/(1/4)
= 3/4*4
= 3
So, she can play for 3 minutes
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What is the correct form of the partial fraction decomposition for the expression
13x-7
(x+2)(4x-3)
?
Answer:
fraction decomposition for the expression
13x - 7/(x+2)(4x-3)
250 word minimum essay on the steps of solving for both the x and y intercept.
Answer:
Step-by-step explanation:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y and an x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system. To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. For example In algebra, 2-dimensional coordinate graphs have a horizontal axis, or x-axis, and a vertical axis, or y-axis. The places where lines representing a range of values cross these axes are called intercepts. The y-intercept is the place where the line crosses the y-axis and the x-intercept where the line crosses the x-axis. For simple problems, it is easy to find the x-intercept by looking at a graph. You can find the exact point of the intercept by solving algebraically using the equation of the line.
Hope this helped out!
A recent survey showed that 73% of elementary school students have a pet, what is the ratio of students who have a pet to the students who don't have a pet
Answer:idek
Step-by-step explanation:
A school has 14 rooms with 28 desks in each room. How many desks are in the school?
Answer:
392
Step-by-step explanation:
There are 14 desks with 28 rooms, or
14 x 28
392
I'm trying to rank up so if you could mark this brainliest, it would really help
Determine the range of the following graph:
After inspecting the picture of the given graph, the range of the function is represented by the following set:
Inequality notation: - 5 ≤ y ≤ 0
Interval notation: y ∈ [- 5, 0]
What is the range of a given function?
Functions are characterized by the following three features:
Domain - Set of the input variables, represented by the horizontal axis.Range - Set of the output variables, represented by the vertical axis.Relation - How the input and output variables are related to each other.In this question we find the case of a function with one input variable and one output variable. That is:
x → f(x)
After inspecting the picture shown in the image we notice that the range of the graph is formed by the following set:
Inequality notation: - 5 ≤ y ≤ 0
Interval notation: y ∈ [- 5, 0]
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Write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.
The required coordinates are
Q'(-8, -9)
R'(-8, -1)
S'(-1, -10)
What is coordinate?
In geometry, a coordinate system is a method for determining how to place points or other geometrical objects on a manifold, such Euclidean space, uniquely using one or more numbers, or coordinates.
You want the coordinates of Q', R', and S' after rotating figure QRS 90° CCW. You are given Q(-9, 8), R(-1, 8) and S(-10, 1).
Rotation CCW 90°
The transformation that maps coordinates to their image after rotation 90° CCW is
(x, y) ⇒ (-y, x)
The image points are
Q(-9, 8) ⇒ Q'(-8, -9)
R(-1, 8) ⇒ R'(-8, -1)
S(-10, 1) ⇒ S'(-1, -10)
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. A swim coach has at most $800 to buy equipment for the swim team. Each
pull buoy costs $5.50 and each kickboard costs $10. Let X represent the
number of pull buoys and y represent the number of kickboards.
a. Write an inequality for the scenario..
5.50x+10y_< 800 I already wrote the inequality now graph the inequality
The inequality for number of pull buoys and the number of kickboards is; 5.50x + 10y ≤ 800.
How do you define a inequality?A statement of an order relationship between two numbers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to).
For the given question.
Let 'x' represent the number of pull buoys.
Let 'y' represent the number of kickboards.
The cost of each pull buoy = $5.50.
The cost of each kickboard costs = $10.
The total swim budget = $800.
The inequality for the scenario is -
5.50x + 10y ≤ 800.
Plot the graph;
Put x = 0; y = 80 ; (0, 80)
Put y = 0, x = 145.5 (145.5, 0)
Plot the obtained points on the graph.
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do you think you can help me with this problem this is what the question is about a glass bottle filled with oil that weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle of oil weighs 400grams. so do u think u can help me?
The function formula of the mass of the bottle to the function of the volume of the oil is M = 590 - 0.95V
How to write function formula?The glass bottle filled with oil weighs 590 grams.
After Sophia uses 200 millilitres of oil, the bottle of oil weighs 400grams.
Therefore, the weight M of the bottle of oil in grams is a function of V, the volume, in millimetres of oil Sophia has used.
Therefore, the formula of the function can be represented as follows
density = mass / volume
200 mm reduces the weight of the bottle by 590 - 400 = 190 grams.
V mm will reduce it to ?
cross multiply
190 × V / 200 = 19 / 20 V = 0.95V
where
V = volume of the oil reduced from the bottle
Therefore, the function formula will be as follows:
M = 590 - 0.95V
Where,
M = weight of the oil.
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jacob said that -3 is a rational number. aaron said that -3 is an irrational number. who is correct?explain
Any number in the form of p/q where q not equal to zero is called as rational Number. -3 is rational number and Jacob is correct.
What are Rational numbers and Irrational Numbers?Any number in the form of p/q where q not equal to zero is called as rational Number.
An Irrational Number is a real number that cannot be written as a simple fraction: 1.5 is rational, but π is irrational. The root values will also be irrational.
The number -3 is a rational number. We can write -3 in the form of p/q, i.e -3/1 where p is -3 and q is 1.
All rational numbers are obtained by dividing one integer by another.
Since it is possible to obtain -3 by dividing the integer
i.e -3 by 1, as in -3/1,
So -3 is a rational number.
Hence -3 is not a irrational number because -3 we can written as a simple fraction.
So Jacob is correct.
Hence -3 is rational and Jacob is correct.
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