Answer:
add 10 on both sides
7<X
So X has to be bigger than 7
So 8,9,10, and 1000 can all be X.
Step-by-step explanation:
Answer:
7 < x
Step-by-step explanation:
the inequality is -3< x-10
-3 < x-10 add 10 in both sides -3+10 <x-10+107< x+07 < xany number that is greater than 7 can be a solution
Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.
Answer:
171
Step-by-step explanation:
If five test scores have a mean of 90, then the total 5x90=450. We already have the middle score (91) and the two top scores (94 and 94). So the equation is 450-91-94-94=171
A shipping box has dimensions as shown in the diagram. The red, dashed line represents the longest length of item that will fit inside the box. What is the length of the longest item that will fit inside the shipping box? Enter the correct answer in the box by replacing the values of m and n.
Answer:
26.8 in
Step-by-step explanation:
The red dashed line is the hypotenuse of the right triangle with one leg equal to 24 inches and the other leg equal to 12 inches. Its length is given by the Pythagorean theorem:
space diagonal = √(24^2 +12^2) = √(720) = 12√5
space diagonal ≈ 26.83 . . . inches
The length of the longest item that will fit in the box is about 26.83 inches.
15 POINTS!!!!!!!! How is a linear function affected when a constant is multiplied by x?
Answer:
The Y-intercept changes .
Step-by-step explanation:
Answer:
The y-intercept changes
Step-by-step explanation:
The following data points represent the number of points scored by each player on the Wildcats basketball team last game. ____________________________ 4, 5, 6, 8, 9, 10, 11, 13 (Find the interquartile range (IQR) of the data set.)
Answer:
The answer is 5, TRUST ME
Step-by-step explanation:
I tried the other answer but i got it WRONG.
The interquartile range (IQR) of the data represents the number of points scored by each player is 7.
What is the interquartile range (IQR)?The interquartile range is a measure of variability which can be calculated by dividing data into quartiles.
The formula of IQR = [tex]\rm Q_{3} -Q_{1}[/tex]
The given data is as follows
4, 5, 6, 8, 9, 10, 11, 13
To find the first quartile
[tex]\rm Q_{1}[/tex] = (n + 1)/4 term
= (8+1)/4
= 9/4
To find the Third quartile
[tex]\rm Q_{3}[/tex] = 3(n + 1)/4 term
= 3 (9)/4
= 27/4
The formula of IQR = [tex]\rm Q_{3} -Q_{1}[/tex]
= 27/4 - 9/4
= 28/4
= 7
The interquartile range (IQR) of the data represents the number of points scored by each player on the Wildcats basketball team last game is 7.
Learn more about the interquartile range:
https://brainly.com/question/4135956
A woman bought some large frames for $10 each and some small frames for $5 each at a closeout sale. If she bought 27 frames for $180, find how many of each type she bought. She bought ____ large frames.
Answer:
Step-by-step explanation:
This is a guessing game. You assume how much there is, and then you check. I was led to the conclusion that there are 9 large frames and 18 small frames.
Answer:
She bought 9 large frames
Step-by-step explanation:
Create a system of two equations and two unknowns (the number of small frames that we call S, and the number of large frames that we call L).
The two equations become:
(a) L + S = 27 (since she bought 27 frames total)
(b) 10 L + 5 S = 180
Now, let's solve for S in the first equation: S = 27 - L
ad use it to replace for S in equation (b):
10 L + 5 (27 - L) = 180
10 L - 5 L + 135 = 180
5 L = 180 - 135
5 L = 45
L = 9
Therefore she bought 9 large frames
Can someone help me please
Answer:
No more than ≥
Not under ≤
No less than ≤
maximum ≥
Greater than or equal to ≥
Less than or equal to ≤
Does not exceed ≥
At most ≥
At least ≤
Minimum ≤
Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be? Translate into an algebraic expression and simplify if possible.
Answer:
4y miles
Step-by-step explanation:
Max : x miles per hour
Sven: y miles per hour slower
x-y is the speed for Sven
We know that distance = speed * time
Distance for Max = x*t
Distance for Sven = (x-y) * t = xt - yt
The difference in distance is Max's distance minus Sven's distance
xt - ( xt-yt)
xt - xt +yt
yt
Max is yt miles ahead where t is the time
The time is noon to 4 which is 4 hours
Changing t to 4
The distance ahead is 4y miles
HELPPPP HURRYYYYYYY A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles, and 6 blue marbles. Predict how many green marbles are in the bag.
Answer:
75 green marbles
Step-by-step explanation:
From the information given in the question, we can create a ratio representing all the marbles in the bag.
9 red:15 green:6 blue
We need to find the total number of times the student drew a marble by finding the sum
9+15+6= 30
The sample size is 30
150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles
9x5=45
15x5=75
6x5=30
Now we have 45 red: 75 green: 30 blue
Based on the given information, we can predict that the bag contains 75 green marbles
Does coordinate c or coordinate d represent a greater number?
Answer:
Coordinate D
Step-by-step explanation:
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can tell him how much the job will cost. There are 12 windows, each with four window panes across, and four window panes down. Tyler can find the total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window panes is an expression with a whole-number exponent. Part A Write an expression with exponents to find the total number of panes in 12 windows.
Answer:
I'm not completely sure but I believe it's (4^2)*12
Step-by-step explanation:
To find the amount of window panes there are, we have to find how much window pains are in each window. So we have a 4 by 4 so that's 16. Since 4 and 4 are the same numbers, we can raise 4 to the power of two to get 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes
Answer:
(4^2)*12
Step-by-step explanation:
PLEASE HELP ME FAST, PLEASE
Answer:
The temperature order are;
(b) 96.62 K = (d) 96.62 K > (a) 48.31 K = (c) 48.31 K = (e) 48.31 K = (f) 48.31 K
Arrangement in order from highest to lowest and alphabetically gives;
(b) ↔ (d) → (a)↔ (c)↔ (e)↔ (f)
Step-by-step explanation:
From the universal gas equation
P×V = N×k×T
Where:
P = Pressure
V = Volume
N = Number of molecules
k = Boltzmann constant = 1.38 × 10⁻²³ J/K
T = temperature
Therefore;
[tex]T =\dfrac{P \times V}{k \times N}[/tex]
Which gives;
(a) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have
100000*0.004/(6*10^(23)*1.38*10^(-23)) = 48.31 K
(b) When P = 200 kPa = 200,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have
200000*0.004/(6*10^(23)*1.38*10^(-23)) = 96.62 K
(c) When P = 50 kPa = 50,000 Pa, V = 8 L = 0.008 m³, N = 6 × 10²³, we have
50000*0.008/(6*10^(23)*1.38*10^(-23)) = 48.31 K
(d) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have
100000*0.004/(3*10^(23)*1.38*10^(-23)) = 96.62 K
(e) When P = 100 kPa = 100,000 Pa, V = 2 L = 0.002 m³, N = 3 × 10²³, we have
100000*0.002/(3*10^(23)*1.38*10^(-23)) = 48.31 K
(f) When P = 50 kPa = 50,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have
50000*0.004/(3*10^(23)*1.38*10^(-23)) = 48.31 K
Can you pleease help ill mark as brainliest
Answer:
Step-by-step explanation:
Please help me find x!!!!
Answer:
x = 56
Step-by-step explanation:
Well if both lines are straight that means that 118 is on both sides,
180 - 118 = 62
So angle E and F are both 62.
So we do 62 *2 = 124.
180 - 124 = 56
x = 56
Thus,
angle x is 56.
Hope this helps :)
help me meeeeeeeeeeee
Answer:
15 pupcakes
Step-by-step explanation:
Purple is 1 out of 4 sections
1/4 times the number of total pupcakes
1/4 * 60
15
Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16. How many angles are alternate exterior angles with angle 5?
Answer:
Step-by-step explanation:
The alternate exterior angles with angle 11 are angle 13 and angle 5.Step-by-step explanation: Two angles are called Alternate exterior angles if1. They are on the exterior side of parallel lines and2. Lie on the opposite sides of the transversal line.It is given that r\\ s andt\\ u. From the figure it is noticed that the angle 13 and angle 5 are on the exterior side of parallel lines and they lie on the opposite sides of the transversal line.Therefore alternate exterior angles with angle 11 are angle 13 and angle 5.
Answer:
<5=<16
Step-by-step explanation:
Define - An angle is said to be another angles exterior angle if
1) It on either side of transversal
2) Both the angles r exterior angle
Here <16 is the one and only exterior angle of <5 as it satisfies the rules for the same.
Therefore....
<16 is the exterior angle of <5
there is only 1 exterior angle
Sry dude....but the ans of above guy is wrong
Hope this helps.....
PLS PLS PLS mark my ans as brainliest :)
An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
48.28 cm
Step-by-step explanation:
The shortest distance would be to travel diagonally to the top-right corner, and then travel along the edge to B,
Diagonal = 20^2+20^2=c^2
400+400=c^2
800=c^2
square root of 800=c
c=28.28
Edge = 20
Total: 20+20.28=48.28 cm
QUESTION 8
Simplify the expression
(5-4 (25)2
expressing the answer as a power of 5
im badd i kinda understand but not really understanding it
Answer:
40
Step-by-step explanation:
if you add all the numbers up it becomes 96 and 96 goes Into. 480 5 times so you multiply 5 times the number of giant swallow tails
Answer:
If they are proportional we can expect 40
lol iready
QUESTION 10
What is the slope of a line that is parallel to the line
2y = 3x - 5
Answer:
Slope: 1.5
Step-by-step explanation:
We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.
Answer:
m = 3/2
Step-by-step explanation:
2y = 3x - 5
First find the slope of this line
Divide by 2
2y/2 = 3x/2 - 5/2
y = 3/2 x - 5/2
This is in slope intercept form y= mx+b where m is the slope and b is the y intercept
The slope is 3/2
Parallel lines have the same slope
m = 3/2
15 POINTS!!!!!!!
How is a linear function affected by a horizontal shift?
Answer:
horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.
Step-by-step explanation:
a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.
Answer:
I agree with Lambina and added this answer so she could get brainliest
Step-by-step explanation:
Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account? x + y = 6,000. 0.025 x + 0.015 y = 110. x + y = 6,000. 0.25 x + 0.15 y = 110. x + y = 6,000. 0.025 x minus 0.015 y = 110. x + y = 6,000. 2.5 x minus 1.5 y = 110.
Answer:
x+y=6000
Step-by-step explanation:
0.025x-,0.015y=110
Answer:
x+y=6000
0.025x-,0.015y=110
Step-by-step explanation:
May I please get Brainliest to rank up? Thank you and have an amazing day :D
The figure shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4. What set of transformations is performed on triangle ABC to form triangle A'B'C'? A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin
Answer:
A 180 degree counterclockwise rotation about the origin followed by a translation 5 units to the right
Step-by-step explanation:
Answer:
translation down 5, rotation 180°
Step-by-step explanation:
Which of the following can prove that figure ABCD is a square?
Answer:
A
Step-by-step explanation:
all sides of square is 90degrees
Since AC and BD is the same, when you join the lines together, it will definitely be a square
Amanda is ordering an ice cream dessert. She must order a size, a flavor of ice cream, and a topping. There are 2 sizes, 1 flavor, and 6 toppings to choose from. How many different ice cream desserts could she order?
Answer: 12
Step-by-step explanation:
Order requirement:
Size ; flavor and topping
Available variety:
Size = 2
Flavor = 1
Toppings = 6
Number of different ice-cream desserts which can be ordered :
Since one of each of size, topping and flavor must be selected :
(Number of available flavors * number of Toppings available * number of sizes available)
1 * 6 different Toppings = 6 varieties
6 varieties * 2 different sizes = 12 varieties
Therefore, there are 12 different variety of ice-cream dessert she can order.
b Given: m AB =m BC , m∠x=60°, m∠y=15° Find: m AC
Answer:
105
Step-by-step explanation:
because all the angles added up have to = 180
60+15=75
75-180=105
Complete the point-slope equation of the line through ( − 1 , − 10 )and (5 , 2) y-2 =?
Answer:
y - 2 = 3(x - 5).
Step-by-step explanation:
We need to find the slope of the line.
[2 - (-10)] / [5 - (-1)] = (2 + 10) / (5 + 1) = 12 / 6 = 2 / 1 = 2
So, y1 = 2, x1 = 5, and m = 2.
y - 2 = 3(x - 5)
Hope this helps!
The formula for point slope is written as y - y1 = m(x -x1)
You are given y - 2 = ?
Since the 2 form the point (5,2) is the y1 value, then the 5 is equal to x1
The formula becomes: y-2 = m(x-5)
Now solve for the slope, which is the change in y over the change in x:
Slope = -10 - 2 / -1 - 5 = -12/-4 = 3
Now replace m to get y-2 = 3(x-5)
Please answer both questions
Answer:
36 and 24
Step-by-step explanation:
Answer:
Part a : 20 units², Part d : 12 units²
Step-by-step explanation:
We are given that the side lengths of each square is 6 units. In this case we can calculate the area of the triangles, subtracting from the area of the outer square, such that we calculate the remaining, area of the shaded region / inscribed square.
Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,
Area of Common Triangles ( 4 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] ( 6 - 2 ) = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] 4 = 4,
4 [tex]*[/tex] 4 = 16 units²
Area of inscribed Square = 36 units² - 16 units² = 20 units²
For this second case the inscribed shape is not a square, but it can be calculated through a similar approach,
Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,
Area of Common Triangles ( 2 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 4 [tex]*[/tex] 6 = 2 [tex]*[/tex] 6 = 12,
12 [tex]*[/tex] 2 = 24 units²
Area of inscribed shape = 36 units² - 24 units² = 12 units²
Perform all indicated operations, and express each answer in simplest form with positive exponents. Assume that all variables represent positive real numbers. Have to show all work.
Answer:
a. [tex]-( 4\sqrt{3} + 3)[/tex]
b. [tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]
c. [tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]
d. [tex]45 + 12\sqrt{5y} + 4 y[/tex]
e. [tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]
Step-by-step explanation:
a.
[tex]\sqrt{12} - \sqrt{108} - \sqrt[3]{27}[/tex]
Expand each expression
[tex]\sqrt{4*3} - \sqrt{36 * 3} - \sqrt[3]{3*3*3}[/tex]
Split the first two surds
[tex]\sqrt{4}*\sqrt{3} - \sqrt{36} * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]
Apply law of indices
[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3^3}[/tex]
Apply law of indices
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{3*\frac{1}{3}}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{1}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3[/tex]
[tex]2\sqrt{3} - 6\sqrt{3} - 3[/tex]
[tex]- 4\sqrt{3} - 3[/tex]
Factorize
[tex]-( 4\sqrt{3} + 3)[/tex]
The expression cannot be further simplified
b.
[tex](\frac{x^{\frac{-3}{4}}y^{\frac{2}{3}}}{x^{\frac{-1}{3}}y^{\frac{-5}{8}}})[/tex]
Expand the expression
[tex](\frac{x^{\frac{-3}{4}} * y^{\frac{2}{3}}}{x^{\frac{-1}{3}} * y^{\frac{-5}{8}}})[/tex]
Apply the following law of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
[tex]x^{{\frac{-3}{4} - \frac{-1}{3}}} * y^{{\frac{2}{3} - \frac{-5}{8}}}}[/tex]
[tex]x^{{\frac{-3}{4} + \frac{1}{3}}} * y^{{\frac{2}{3} + \frac{5}{8}}}}[/tex]
Add the exponents
[tex]x^{\frac{-9+4}{12}} * y^{{\frac{16+15}{24}}}}[/tex]
[tex]x^{\frac{-5}{12}} * y^{{\frac{31}{24}}}}[/tex]
[tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]
The expression cannot be further simplified
c.
[tex]\frac{8}{\sqrt{x} - \sqrt{5}}[/tex]
Rationalize the denominator
[tex]\frac{8}{\sqrt{x} - \sqrt{5}} * \frac{\sqrt{x} + \sqrt{5}}{\sqrt{x} + \sqrt{5}}[/tex]
[tex]\frac{8(\sqrt{x} + \sqrt{5})}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]
Simplify the numerator
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]
Simplify the denominator by difference of two squares
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{\sqrt{x}^2 - \sqrt{5}^2}[/tex]
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]
The expression cannot be further simplified
d.
[tex](3\sqrt{5} + 2\sqrt{y})^2[/tex]
Expand the expression
[tex](3\sqrt{5} + 2\sqrt{y})(3\sqrt{5} + 2\sqrt{y})[/tex]
Open the bracket
[tex]3\sqrt{5} (3\sqrt{5} + 2\sqrt{y})+ 2\sqrt{y}(3\sqrt{5} + 2\sqrt{y})[/tex]
Open both brackets
[tex]3\sqrt{5} *3\sqrt{5} + 3\sqrt{5}*2\sqrt{y}+ 2\sqrt{y}*3\sqrt{5} + 2\sqrt{y}*2\sqrt{y}[/tex]
[tex](3\sqrt{5} *3\sqrt{5}) + (3\sqrt{5}*2\sqrt{y})+ (2\sqrt{y}*3\sqrt{5}) + (2\sqrt{y}*2\sqrt{y})[/tex]
Multiply each expression in the bracket
[tex](3*3\sqrt{5*5}) + (3*2\sqrt{5*y})+ (2*3\sqrt{5*y}) + (2*2\sqrt{y*y})[/tex]
[tex](9\sqrt{25}) + (6\sqrt{5y})+ (6\sqrt{5y}) + (4\sqrt{y^2})[/tex]
Solve like terms
[tex](9\sqrt{25}) + (12\sqrt{5y}) + (4\sqrt{y^2})[/tex]
Take square root of 25 and y²
[tex](9 * 5) + (12\sqrt{5y}) + (4 * y)[/tex]
[tex](45) + (12\sqrt{5y}) + (4 y)[/tex]
Remove the brackets
[tex]45 + 12\sqrt{5y} + 4 y[/tex]
The expression cannot be further simplified
e.
[tex]-\sqrt{\frac{3}{5x}}[/tex]
This expression can not be simplified; However, it can be rewritten, by applying law of indices as
[tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]
the letter v has an unknown value. If you multiply v by ten, the product is two . What value does v have?
Answer:
0.2
Step-by-step explanation:
10v=2
v=2/10
v=0.2
please help i'm doing summer school and i have 2 days
Answer:
a. y < -4x + 4
Step-by-step explanation:
(0, 4) (2, -4)
find the equation of the line.
1. slope: (y² - y¹) / (x² - x¹)
a. (-4 - 4) / (2 - 0) = -8 / 2 = -4
2. y-intercept
a. from the graph, we see it is 4
3. plug it in
a. y = -4x + 4
since this is an equality, we use < > ≤ or ≥
the shaded region is below a dashed line, therefore we use <
y < -4x + 4