The first step of solving this inequality is subtracting 3 to both sides. This will cancel 3 from the left side to start isolating x.
2x + 3 - 3 ≥ 17 - 3
2x ≥ 14
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x≥7
Step-by-step explanatio
To solve this problem, subtract 3 from both sides and divide by 2 from both sides.
2x+3-3≥17-3
17-3=14
2x≥14
2x/2≥14/2
14/2=7
x≥7 is the correct answer.
What is the best estimate of the circumference of this circle?
Answer:
D. 18 units
Step-by-step explanation:
This is because . . .
C = 2 * pi * r
Since r = 3 . . .
2 * 3 * 3.1415926 . . .
2 * 3 * 3 = 18 units
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Answer: D . 18 units
Step-by-step explanation:
We know that the circumference of the circle is given by :-
[tex]C=2\pi r[/tex], where r is the radius of the circle.
Given : The radius of the circle = 3 units
Then , the circumference of the circle will be :-
[tex]C=2\pi (3)[/tex]
We know the the value of [tex]\pi =3.14[/tex], we estimate the value of [tex]\pi =3[/tex]
[tex]C=2(3) (3)=18[/tex]
Hence, the the best estimate of the circumference of this circle is 18 units.
which of the following is radical equation
algebra II engenuity
Answer:
√x+3=13
Step-by-step explanation:
The equation is √x+3=13 is radical because the unknown, x appears under a radical sign √.
To solve the equation, the unknown is left on one side of the equal sign and then both sides of the equal sign are raised to an equal power which would remove the radical sign.
For example,
√x+3=13
√x=13-3
√x=10
Removing radical.
(√x)²=10²
x=100
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 2 y is greater than or equal to negative 5 over 2 times x minus 2 Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points) Part B: Is the point (−2, −2) included in the solution area for the system? Justify your answer mathematically. (4 points)
Answer:
See explanation
Step-by-step explanation:
You have to graph the system of inequalities presented as
[tex]\left\{\begin{array}{l}y<4x-2\\y\ge -\frac{5}{2}x-2\end{array}\right.[/tex]
Part A:
1. Draw a dotted line [tex]y=4x-2[/tex] (dotted because the sign < is without notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:
[tex]0<4\cdot 0-2\\ \\0<-2[/tex]
Since this inequlity is false, the origin doesn't belong to the shaded region, so you have to shade that part which doesn't contain origin (red part in attached diagram).
2. Draw a solid line [tex]y=-\frac{5}{2}x-2[/tex] (solid because the sign ≥ is with notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:
[tex]0\ge -\frac{5}{2}\cdot 0-2\\ \\0\ge -2[/tex]
Since this inequlity is true, the origin belongs to the shaded region, so you have to shade that part which contains origin (blue part in attached diagram).
The intersection of these two regions is the solution area.
Part B:
Plot point (-2,-2). Since this point doesn't belong to the solution area, this is not a solution of the system of two inequalities. You can check it mathematically - substitute x=-2 and y=-2 into the system:
[tex]\left\{\begin{array}{l}-2<4\cdot (-2)-2\\-2\ge -\frac{5}{2}\cdot (-2)-2\end{array}\right.\Rightarrow \left\{\begin{array}{l}-2<-10\\-2\ge 3\end{array}\right.[/tex]
Both inequalities are false, so (-2,-2) doesn't belong to the solution area.
A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with class
Answer:2/14 or 1/7
Step-by-step explanation:
Add the student together to get the number of students
10+4
14
Divide the girls by half
4/2
2
2/14 is your answer reduced is 1/7
I can’t figure out what 3/8+1/4 is. Help!
Answer:
5/8
Step-by-step explanation:
3/8 + 1/4
We need to get a common denominator of 8
3/8 remains 3/8
We change 1/4 by multiplying by 2/2
1/4 *2/2 = 2/8
3/8 + 1/4
3/8+2/8
5/8
51 is 33.3% of what number
1,530
306
153.15
76.5
459
51 is 33.3% of the number 153.15
The answer is option C.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of 100.A percentage is a dimensionless number, it has no unit of measurement.
Calculation:-
let the number be X,
33.3% of X =51 (as per the question)
(X*33.3)/100=51
X=(51*100)/33.3
X=51 answer
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Solve each system of equations
12) -2x + 6y = 30
5x + 2y = 10
I really need help.
Answer:
(0,5)
Step-by-step explanation:
-2x+6y=30
5x+2y=10
I'm going to use elimination.
I'm choosing this method because both equations are in the same form.
They are in the form ax+by=c.
So in order to use elimination, I need one of my columns that contain the variables to contain opposites. Neither one of my columns with the variables have that. Example -2x and 5x are not opposites and 6y and 2y are not opposite.
I'm going to multiply both sides of equation 2 by -3. This will help me to achieve the opposites in a column.
So the system becomes:
-2x+6y=30
-15x-6y=-30
---------------------If we add the columns you will see that the variable y get's eliminated. Let's do that.
-2x+6y=30
-15x-6y=-30
-------------------Adding!
-17x+0y=0
-17x =0
x =0
So using one of the equations (you choose; doesn't matter which one you pick) along with x=0, I'm going to find y.
I choose equation 2.
That is I choose 5x+2y=10 along with x=0 to find y.
5x +2y=10 with x=0
5(0)+2y=10
0 +2y =10
2y=10
y=10/2
y=5
The solution is (x,y)=(0,5).
Match the graph with its function by translating the graph of y= √x
Answer:
hope it help!
Step-by-step explanation:
have a nice day
Graph with its function by translating the graph of y= √x is marked below.
Define function.A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Given,
y = √x
However, y= √x only displays the positive y values on a graph since you can never square a negative integer because no two identical numbers multiplied together are negative, among other reasons.
Making a function is standard. Since a function may only have one value for each input, we define x as the positive real integer such that (√x)2=x for every positive real √x.
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A solid oblique pyramid has a square base with an edge length of 2 cm. Angle BAC measures 45°.
What is the volume of the pyramid?
2.4 cm3
3.6 cm3
4.8 cm3
7.2 cm3
Answer:
4.8cm ^3
Step-by-step explanation: just finished quiz.... good luck
Answer: (C) 4.8cm3
Just did it on edge
A bag contains 5 white marbles, 4 black marbles, and 1 red marbles. Find the probability of picking a black marble?
Answer:
4/10 or 40%
Step-by-step explanation:
Their is 10 marbles in all and their is 4 black marbles so,
4/10 or 40%
Hope my answer has helped you and if not i'm sorry.
[tex]|\Omega|=10\\|A|=4\\\\P(A)=\dfrac{4}{10}=\dfrac{2}{5}=40\%[/tex]
HELPPP MEEEEEEE!!!!!!!! plz
Which ordered pairs are solutions to the inequality 2x+3y≥−1 ?
Select each correct answer.
(2, −1)
(−6, 0)
(−2, 1)
(0, 1)
(0, −1)
Answer:
(2,-1)
(-2,1)
(0,1)
Step-by-step explanation:
Let's plug in the points given and see which satisfy it (make it true).
2x+3y>=-1
Test (2,-1)
2(2)+3(-1)>=-1
4 + (-3)>=-1
1>=-1 This is true 1 is greater than -1 so (2,-1) works!
Test (-6,0)
2(-6)+3(0)>=-1
-12 + 0 >=-1
-12 >=-1 This is not true. -12 is not greater than -1.
Test (-2,1)
2(-2)+3(1)>=-1
-4 + 3 >=-1
-1 >=-1 This is true. -1 does equal -1.
Test (0,1)
2(0)+3(1)>=-1
0 + 3 >=-1
3>=-1 This is true. 3 is greater than -1.
Test (0,-1)
2(0)+3(-1)>=-1
0 + (-3)>=-1
-3>=-1 This is false. -3 is not greater than -1.
To determine which ordered pairs are solutions to the inequality 2x + 3y ≥ -1, we need to substitute the x and y values from each ordered pair into the inequality and check if the inequality holds true.
Let's go through each ordered pair step by step:
1. Check the ordered pair (2, -1):
Substitute x = 2 and y = -1 into the inequality:
2(2) + 3(-1) ≥ -1
4 - 3 ≥ -1
1 ≥ -1
The inequality holds true, so (2, -1) is a solution.
2. Check the ordered pair (-6, 0):
We don't need to evaluate this one because it is not a solution according to the results we are considering.
3. Check the ordered pair (-2, 1):
Substitute x = -2 and y = 1 into the inequality:
2(-2) + 3(1) ≥ -1
-4 + 3 ≥ -1
-1 ≥ -1
The inequality holds true, so (-2, 1) is a solution.
4. Check the ordered pair (0, 1):
Substitute x = 0 and y = 1 into the inequality:
2(0) + 3(1) ≥ -1
0 + 3 ≥ -1
3 ≥ -1
The inequality holds true, so (0, 1) is a solution.
5. Check the ordered pair (0, -1):
We don't need to evaluate this one because it is not a solution according to the results we are considering.
Therefore, the ordered pairs that are solutions to the inequality 2x + 3y ≥ -1 are:
(2, −1)
(−2, 1)
(0, 1)
Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu.
QUESTION/////(On average, for every 25 patients calling in, how many do you expect to have the flu?)
Answer:1
Step-by-step explanation:
4% x 20 patients= 1 patient
On average, for every 25 patients calling in claiming to have the flu, we expect 1 patient to actually have the flu, based on a 4% chance of a patient truly having the flu.
The question is asking us to calculate the expected number of patients who actually have the flu out of 25 who call in, given that the probability of having the flu is 4%. This is a case of the binomial probability distribution, where the number of trials (n) is 25, the probability of success (p) is 0.04, and we want to find the expected value (mean) of this distribution.
The expected value (mean) of a binomial distribution is given by the formula E(X) = n imes p, where E(X) is the expected value, n is the number of trials, and p is the probability of success on a single trial.
Using this formula, we can calculate the expected value as follows:
E(X) = 25 imes 0.04
E(X) = 1
So, on average, for every 25 patients calling in claiming to have the flu, we expect 1 patient to actually have the flu.
#13 Omar is 3 times as old as Jason, Henry is 5 years older than Jason. If their total age is 80 years old, how much older is Omar than Henry?
#14 Mrs Anderson had twice as many chickens as ducks. She sold 272 chickens and 16 ducks. She then had half as many chickens as ducks. How many chickens did she have in the beginning?
#15 Mrs. Ortega paid $188 for some jeans and T-shirts. A pair of jeans costs $26, and a T-shirt was $16 cheaper than a pair of jeans. If Mrs Ortega bought 3 pairs of jeans, how many T-shirts did she buy?
Show explanation please
Answer:
13. Let's say Jason's age is x, Omar's age is y and Henry's age is z. Then we have:y = 3x (Omar is three times as old as Jason) z = x + 5 (Henry is five years older than Jason) x + y + z = 80 (Their total age is 80) Now replace y and z in the last equation with the two other equations and you get: x + 3x + (x + 5)= 80 Calculate brackets: x + 3x + x + 5 = 80 Move 5 over and add up the x: 5x = 75 x = 75/5 = 15 So Jason is 15. Now we put x = 15 into the other equations and we get: Omar's age: y = 3*15 = 45 Henry's age: z = 15 + 5 = 20 So Omar is 25 years older than Henry.
14.
Let c = chickens and d = ducks, then:
c = 2d
c - 272 = 1/2 (d - 16)
We can rewrite the expression in terms of one variable, d:
2d - 272 = 1/2 (d - 16)
2d - 272 = 1/2d - 8
3/2d = 264
d = 176
c = 2 * 176 = 352
She had 352 chickens in the beginning.
15.
11-shirts
Michelle's mother bought 7 large pizzas for her birthday party. Each large pizza is cut into eighths. if 5/8 of the total slices were eaten, how many slices were left over?
can you please help me with this and I will give you Brainliest.
When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than 1/3 the total number of guests. Which graph represents this scenario?
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x-----> the total number of guests
y -----> the amount of meat
we know that
The inequality that represent this situation is equal to
[tex]y\geq \frac{1}{3}x-2[/tex]
Note The inequality is "greater than or equal" because the given statement say "at least"
The solution of this inequality is the shaded area above the solid line [tex]y=\frac{1}{3}x-2[/tex]
The slope of the solid line is positive
The y-intercept of the solid line is -2
The x-intercept of the solid line is 6
therefore
The graph in the attached figure
Remember that
The values of x an y cannot be a negative number
Answer:
4th graph
Step-by-step explanation:
The mean of a set of credit scores is and . Which credit score is within a z-score of 3.3?
Answer:
720
Step-by-step explanation:
The mean of a set of credit scores is u=690 and o=14.
mean = 690 and standard deviation SD = 14
We use z- score formula
z= 3.3 given
Plug in the values and find out x
Multiply 14 on both sides
46.2 = x- 690
Now add 690 on both sides
x= 736.2
Credit score is 720 that comes under 736.2
In order to circum a circle about a triangle the circles center must be placed at the triangle true or false
Answer:
False
Step-by-step explanation:
In order to circum a circle about a triangle the circles center don't have to be placed at the triangle.
Final answer:
The statement regarding a vector forming a right angle triangle with its components is true, and the Pythagorean theorem can indeed be used to calculate the length of the resultant vector from two perpendicular vectors.
Explanation:
The initial question regarding the center of the circle to circumvent a triangle seems to be incomplete or incorrect. Instead, delving into vector mathematics, which is the relevant context provided, will yield a more informative response.
True or False: A vector can form the shape of a right angle triangle with its x and y components.
This statement is true. A vector in two dimensions has an x-component and a y-component. When these components are drawn from the tail of the vector, they form the legs of a right-angle triangle with the vector itself being the hypotenuse.
Furthermore, it is also true that the Pythagorean theorem can be used to calculate the length of the resultant vector when adding two vectors that are at right angles to each other. The formula used is a² + b² = c², where 'c' is the length of the resultant vector, and 'a' and 'b' are the magnitudes of the original vectors.
How do I solve a question like this?
(-4)5-(-6)(-4)+40
Answer:
-4
Step-by-step explanation:
We are given the following expression which we are to solve:
[tex] ( - 4 ) 5 - ( - 6 ) ( - 4 ) + 4 0 [/tex]
Since this expression includes brackets as well has plus and minus signs, so we will follow the standard order of operations to solve this expression.
Solving the brackets first to get:
[tex] ( - 2 0 ) - ( 2 4 ) + 4 0 [/tex]
Now adding all the terms up to get:
-4
Find the slope of the line graphed below.
Answer:
your slope is 3/4
Step-by-step explanation:
when finding the slope you find two points to go by.
when you find the point for x you count back until you line up with your y point. like on this graph you start at -3 and count back on the graph until you are in line with your next point which is 5.
so -3 count back to 5
which is going to be 4
then you count how many spaces there is until you get to five which is 3 spaces so then you just put y over top of x and you have your slope.
which on this graph your slope will be 3/4
Which of these expressions is equivalent to -2(x-5)
Answer: -2x+10
Step-by-step explanation:
you just multiply x and -5 by -2
A circle with a radius of 10 inches is placed inside a square with a side length of 20 inches. Find the area of the square.
a. 400
b. 413
c. 314
d. 143
Answer:
The correct answer is option a. 400
Step-by-step explanation:
Points to remember
Area of square = a²
Where 'a' is the side length of square
To find the area of square
It is given that, the side length of square is 20 inches.
Here a = 20 inches
Area = a²
= 20²
= 400
Therefore the correct answer is option a. 400
2/3 divided by 24/25
Answer:
25/36
Step-by-step explanation:
(2/3)/(24/25)
Solve. Change the division to multiplication, and flip the second fraction:
(2/3) * (25/24)
Multiply across:
(2 * 25)/(3 * 24) = 50/72
Simplify if necessary. Divide common factors:
(50/72)/(2/2) = 25/36
25/36 is your answer.
~
Solve -np - 80 < 60 for n
[tex]-np-80<60\\\\-np<140\\\\n>-\dfrac{140}{p}[/tex]
Answer:
n > -140/p.
Step-by-step explanation:
-np - 80 < 60
-np < 60 + 80
-n < 140/p
n > -140/p.
х+ бу = 18 find the x and y intercepts then graph
Answer:
x-intercept = 18y-intercept = 3Step-by-step explanation:
[tex]x+6y=18\\\\x-intercept\ for\ y=0:\\\\x+6(0)=18\\x+0=18\\x=18\\\\y-intercept\ for\ x=0:\\\\0+6y=18\\6y=18\qquad\text{divide both sides by 6}\\y=3[/tex]
What is the result of isolating x^2 in the equation below? 10x^2-36y^2=100???? please help
Answer:
[tex]x^2=10+\frac{18y^2}{5}[/tex]
Step-by-step explanation:
If you really want to get x^2 by itself the first step is to add 36y^2 on both sides giving you:
[tex]10x^2-36y^2=100[/tex]
[tex]10x^2-36y^2+36y^2=100+36y^2[/tex]
[tex]10x^2+0=100+36y^2[/tex]
[tex]10x^2=100+36y^2[/tex]
Now you divide both sides by 10:
[tex]x^2=\frac{100+36y^2}{10}[/tex]
You could separate the fraction:
[tex]x^2=\frac{100}{10}+\frac{36y^2}{10}[/tex]
You can reduce both fractions:
[tex]x^2=10+\frac{18y^2}{5}[/tex]
Which inequality is equivalent to 6x + 1 > 4x - 5
Answer:
-20
Step-by-step explanation:
1. multiple: 4 * (5) = -20
2. Compare:
>
= 1 >
(-20) = Yes
What is the volume of the cylinder below?
Answer:
V = π(12²)(15) = 2,160π units³
The correct answer is D.
Which equation shows how to determine the volume of the dollhouse?
Answer:
first choice
Step-by-step explanation:
The volume of a rectangular prism is L*H*B.
So the volume of the rectangular prism pictured here is 24*10*8
The volume of a triangle prism is 1/2 *H*L*B.
So the volume of the triangle prism pictured here is 1/2 *6*24*8
The volume of the whole figure is the sum of the volume of the rectangular prism and volume of the triangular prism which is in this case:
24*10*8 + 1/2 *6*24*8.
Answer is the first choice.
(It wouldn't be third because 10 has nothing to with the triangular prism part)
Which situation is most likely to have a constant rate of change?
O
A. The temperature inside an apartment compared with the number
of hours since midnight
B. The length of a brick path compared with the number of rows of
bricks
O
C. The weight of a dog compared with its age
D. The number of people in a theme park compared with the time of
day
Answer:B
Step-by-step explanation:i just did it! c:
The situation that is most likely to have a constant rate of change is the length of a brick path compared with the number of rows of bricks. That is option B.
What is constant rate of change?Rate of change of a variable is the change in its value over a defined period of time. But rate of change can be calculated if one variable increases and the other variable which it is compared with decreases.
But in a scenario where both the variables are not changing, a constant is reached. For example, the length of a brick path compared with the number of rows of
bricks.
The length of the brick path is constant which forms the number of the rows of the bricks which are equally constant.
Therefore, the situation that is most likely to have a constant rate of change is the length of a brick path compared with the number of rows of bricks.
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what is the value of the expression -.75-(-2/5)+.4+(-3/4)
To find the value of the expression -.75-([tex]-\frac{2}{5}[/tex])+.4+([tex]-\frac{3}{4}[/tex]), you convert all terms to decimals, simplify, and add them together, resulting in -0.7.
The value of the expression -.75-([tex]-\frac{2}{5}[/tex])+.4+([tex]-\frac{3}{4}[/tex]) is calculated as follows:
First, convert the fraction [tex]-\frac{2}{5}[/tex] to a decimal to simplify the calculation, which is -0.4.
Next, understand that subtracting a negative is the same as adding the positive equivalent, so -(-0.4) becomes +0.4.
Now, add up the numbers: -0.75 + 0.4 + 0.4 - 0.75.
After performing the addition, we get -0.7 as the final value of the expression.