Answer:
See below.
Step-by-step explanation:
a)
3x - 8 > 16
3x > 24
x > 8
b)
2x - 1 < 9
2x < 10
x < 5
c)
There are no integers that satisfy both inequalities since there is no number that is both greater than 8 and less than 5.
Answer:
a) [tex]\{x\in \mathbb{R}|x>8 \}[/tex] or just [tex]x>8[/tex], or [tex]\left(8,\:\infty \:\right)[/tex]
b)[tex]\{x\in \mathbb{R}|x<5 \}[/tex] or just [tex]x<5[/tex], or [tex](-\infty, 5)[/tex]
c) There's no integer that satisfy both inequalities.
Step-by-step explanation:
a) [tex]3x - 8 > 16[/tex]
[tex]3x - 8 +8> 16+8\\3x>24\\[/tex]
[tex]$\frac{3x}{3}>\frac{24}{3} $[/tex]
[tex]x>8[/tex]
Interval notation: [tex]\left(8,\:\infty \:\right)[/tex]
[tex]\{x\in \mathbb{R}|x>8 \}[/tex]
b) [tex]2x-1 < 9[/tex]
[tex]2x-1 +1< 9+1\\2x<10\\x<5[/tex]
Interval notation: [tex](-\infty, 5)[/tex]
[tex]\{x\in \mathbb{R}|x<5 \}[/tex]
c) The integers that satisfy both inequalities:
[tex](-\infty, 5)\cap \left(8,\:\infty \:\right) = \emptyset[/tex]
<---------------- 5 ---------------- 8 ------------------->
welp!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
~47%
Step-by-step explanation:
18 / 38 = 0.47368421053 = ~0.47 = 47%
If a dress costs $27.00 when it is on sale for 10% off, what is its original cost?
PLZ HELP IN A HUGE RUSH PLZ PLZ PLZ
Answer: 30
Step-by-step explanation:
simple
Write 0.728 as a percent and as a simplified fraction.
Answer:
91 /125
Step-by-step explanation:
solve for x and y...............
Answer:
9. [tex]x=30, y=10\sqrt{3}[/tex]
11. [tex]x=5\sqrt{3}, y=10\sqrt{3}[/tex]
Step-by-step explanation:
9)
[tex]\sin x=\dfrac{10}{20}\\x=\sin^{-1}\left( \dfrac{1}{2} \right)=30^{\circ}\\y=\sqrt{20^2-10^2}=\sqrt{400-100}=\sqrt{300}=10\sqrt{3}[/tex]
11)
[tex]\tan 60= \dfrac{15}{x}\\x=\dfrac{15}{\tan 60}=5\sqrt{3}\\y=\sqrt{(5\sqrt{3})^2+15^2}=\sqrt{75+225}=\sqrt{300}=10\sqrt{3}[/tex]
Hope this helps!
Answer:
9 for x..................
20 points . Find the geometric mean of 5/4 and 80
Answer:
3.636478334
Step-by-step explanation:
Find the area of the rhombus. Each indicated distance is half the length of its respective diagonal.
Answer:
24 square feet
Step-by-step explanation: There are four "triangles" of the rhombus. If you find the area of each triangle by multiplying the height by the width and divide by two, you get 6. You then multiply that by 4 to get 24.
Given that ACDE, CBFG, and ABIH are squares and the side of the equilateral △ABC is 1 in. Find the square of the value of the shaded area.
Answer:
6.75
Step-by-step explanation:
The shaded area amounts to two congruent equilateral triangles. Each has a side length of 2(1 in)cos(30°) = √3 in.
The height of an equilateral triangle with side length √3 is ...
height = (√3 in)sin(60°) = 3/2 in
Then the area of the two equilateral triangles is ...
A = bh = (√3 in)(3/2 in) = 3√3/2 in^2
The square of the numerical value of the area is ...
A^2 = ((3/2)(√3))^2 = 27/4 = 6.75
The square of the shaded area is 6.75.
Find the missing angles and sides
Step-by-step explanation:
m∠1 = 180-100 = 80
m∠2 = 180-150 = 30
m∠3 = 180-(80+30) = 180 - 110 = 70
using the law of sine :
AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))
=2.66044443119
CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588
PLEASE HELP?!?!
Sorry for all the questions but PLEASE HELP!!!
What is the scale factor for this dilation? Please show your work
Answer:
Dilation factor is 2/3
Step-by-step explanation:
Look at both flat lines (M to S and M' to S') and find their lengths.
M to S = 9 units
M' to S' = 6 units
The triangle has gotten smaller so the dilation factor is a fraction
new/original = 6/9 = .66666666 or 2/3
Dilation factor is 2/3
Help please !!!! I need this I don’t need a detailed explanation
Answer:
-6/5 (This is Answer c)
Step-by-step explanation:
Re-writing this equation in standard form, we get:
25x^2 + 60x + 36 = 0. The coefficients are a = 25, b = 60 and c = 36.
The discriminant, b^2 - 4ac, is 60^2 - 4(25)(36), or 3600 - 3600, or 0.
Because the discriminant is 0, we have two real, equal roots, corresponding to
-b -60
x = ------ = ---------- = -6/5 (This is Answer c)
2a 2(25)
in 1900, greenville had a population of 4000 people. Greenville's population increased by 100 people each year. Springfield had a population of 1000 people. Springfields population increased bu 4% each year. In what year were the populations about equal?
Answer: year 1948
Step-by-step explanation:
1900 is our t = 0
The population of Greenville can be written as:
G = 4000 + 100*t
the equation for Springfield can be written as:
S = 1000*(1.04)^t
we want to find the value of t that makes S(t) = G(t)
4000 + 100*t = 1000*(1.04)^t
(4000 + 100*t) = 1.04^t
4 + 0.1*t = 1.04^t
now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:
4 = 1.04^t - 0.1*t
You will find that the correct value is t = 48
So we can assume that in year 1948 the populations will be about the same.
which expressions are equal to 10^5? select all answers
Answer: 10*10*10*10*10
Step-by-step explanation:
Plz lzplz plz plz plz help me plz ASAP
i think it is 4
hope this helps
Help asap . thank youu
Answer:
It is not a linear function
Step-by-step explanation:
There is a one to one correspondence and this would pass the vertical line test
This is a function
However, the questions asks if it is a linear function, which would mean is it a straight line.
This curves, so it is not a linear function
find the volume of this composite space figure express your answers in terms of pi
edit: its (2880 + 180pi) in^3 for anyone who has the same question!!
Answer:
The Answer is (2880+180π) in. cubed
Step-by-step explanation:
I got it right in Gradpoint
Which expression can be used to find 17% of 58?
A. 58 = 0.17 B. 58 = 17
C. 58 x 0.17
D. 58 x 17
Answer:
58 times 0.17 which agrees with answer C in the given list of possible answers.
Step-by-step explanation:
Notice that 17% in math terms is 17/100 = 0.17
Now to find the 17% of the number 58, we need to multiply 58 by 17/100, which gives:
58 times 0.17
the quotient of 4 and the number plus 17 is 5
Answer:
-1/3
Step-by-step explanation:
I am assuming you mean 4/x + 17 = 5
PLS HELP What is the cos and sin for angle of rotation 30 degrees?
Answer:
cos 30=0.860254038
sin 30=0.5
Step-by-step explanation:
use a calculator
Please help multiple-choice image below with question!
Answer:
No
Step-by-step explanation:Figure B Is not a scale copy of Figure A because the line on the right for figure A has only 5 squares And Square B has 10 Squares
:))
Answer:
no
Step-by-step explanation:
To be a scale copy the image has to be scale by the same amount in the x direction and the y direction
The size in the x direction did not change but the y direction did change so
Which of the following relations are NOT functions? Select all that apply.*
(1,3), (3,7), (5,11), (7,15), (9,19)
(1,3), (1,7), (5,11), (5,15), (9,19)
(-2,4), (-1,1),(0,0), (1,1), (2,4)
(2,4), (1,1),(0,0), (1,-1), (2,-4)
(6,3), (4,1), (2,1),(0,-1), (-2,-3)
(1,3), (3,11), (3,7), (7,15), (9,19)
O (1,3), (3,7), (5,11), (9,15), (9,19)
Answer:
Going from 1 to 7. The not functions are 2,4,6, and 7
Step-by-step explanation:
How you can determine if its a function is if all x values are different. Vertical line test.
Using the function concept, it is found that these following relations are not functions:
(1,3), (1,7), (5,11), (5,15), (9,19)
(2,4), (1,1),(0,0), (1,-1), (2,-4)
(1,3), (3,11), (3,7), (7,15), (9,19)
(1,3), (3,7), (5,11), (9,15), (9,19)
A relation is a function if one input is mapped to only one output.In the relation (1,3), (1,7), (5,11), (5,15), (9,19), the input 1 is mapped to the output 3 and to the output 7, so it is not a function.In the relation (2,4), (1,1),(0,0), (1,-1), (2,-4), the inputs 2 and 1 are mapped to multiple outputs, so it is not a function.In the relation (1,3), (3,11), (3,7), (7,15), (9,19), the input 3 is mapped to the outputs 11 and 7, so it is not a function.In the relation (1,3), (3,7), (5,11), (9,15), (9,19), the input 9 is mapped to the outputs 15 and 19, so it is not a function.A similar problem is given at https://brainly.com/question/12463448
A school ordered 32 orange shirts, 29 blue shirts, and 34 green shirts. The shirts are being divided equally among 6
classrooms. If each classroom gets the same number of shirts, how many shirts will be left over?
A. 5
B. 3
C. 4
D. 2
Answer:
5
Step-by-step explanation:
32+29+34= 95 total shirts
95/6=15.8333 round down
If each group get 15 shirts you need 90 shirts (15*6=90)
and so you will have 5 left over (95-90=5)
Answer:
There will be 5 shirts that were left over
DUE NOW
The two-way table shows the number of students that do or do not do chores at home and whether they receive an allowance or not. Find the relative frequencies of students in the survey by rows. Round to the nearest hundredth.
Answer:
Relative frequencies
First row
0.8125 ,0.1875 ,16
Second row
0.555 ,0.444 ,9
third row
18 , 7 , 25
Step-by-step explanation:
Given data
allowance No allowance total
Chores 13 3 16
No chores 5 4 9
Total 18 7 25
Relative frequencies
allowance No allowance total
Chores [tex]\frac{13}{16} = 0.8125[/tex] [tex]\frac{3}{16} = 0.1875[/tex] 16
No chores [tex]\frac{5}{9} = 0.555[/tex] [tex]\frac{4}{9} = 0.444[/tex] 9
Total 18 7 25
can someone show how to do this please
Answer:
77 units^2
Step-by-step explanation:
I'm going to call the red square A, green square B, blue square C.
A side of a square is the square root of the area.
The Pythagorean Theorem is A^2 + B^2 =C^2.
So in other words,
33 + 44 = the side of square C^2.
33+44=77
One side of square C is √77.
Square this to get the area.
Square C's area is 77 units^2.
There are 57 ounces of cereal in 5 boxes. At this rate, how many ounces of cereal are in 8 boxes?
Answer:
91.2
Step-by-step explanation:
If there is 57 ounces in 5 boxes and you divide 57 by 5 you'll get 11.4. After that you should times 11.4 by 8 to get 91.2 ounces
Answer:
91.2 ounces
Step-by-step explanation:
Let's make a proportion using this setup:
ounces/boxes=ounces/boxes
There are 57 ounces in 5 boxes, and x ounces in 8 boxes.
57 ounces/5 boxes= x ounces/8 boxes
57/5=x/8
Now we have to solve for x. x and 8 are being divided. To undo this, multiply both sides by 8, because multiplication is the opposite of division.
8*57/5=x/8*8
The 8s on the right will cancel, so we are left with:
8*57/5=x
8*11.4=x
91.2=x
There are 91.2 ounces in 8 boxes
will mark bianleast 10 pontis
Which equation could be used to find the perimeter of a rectangle that has a width of 10 inches and a length of 20 inches?
P = 2·10 + 2·10
P = 20·10
P = 2·20 + 2·10
P = 10 + 20
Answer:
P = 2·20 + 2·10
Step-by-step explanation:
there are 2 sides for width, and 2 sides for length, as easy as
Which expression is equivalent to (5 Superscript negative 2 Baseline) (5 Superscript negative 1 Baseline)? { answer is C }
Answer:
[tex]\frac{1}{125}[/tex]
Step-by-step explanation:
The given expression is
[tex](5^{-2}) (5^{-1})[/tex]
The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents
[tex](5^{-2}) (5^{-1})=5^{-2-1}=5^{-3}[/tex]
Then, we use the negative exponent property
[tex]5^{-3}=\frac{1}{5^{3} }[/tex]
Finally, we solve the power
[tex]\frac{1}{5^{3} }=\frac{1}{125}[/tex]
Therefore, the given expression is equivalen to [tex]\frac{1}{125}[/tex].
Answer:
the answer is C
Step-by-step explanation:
A.) $405.00
B.) $472.00
C.) $450.00
D.) $495.00
A satellite TV company is running a promotion to attract new customers. The first full month is free, and each additional month is $45. Any partial month is ignored. If a family purchased satellite TV service November 1st of one year and continued it through September 15th of the next year, what did the family pay?
which is the following is the correct expansion for (3x-y^2)^4
Answer:
81x4^ + 108x^3y^2 + 54x^2y^4 +12xy^6 +y^8
Step-by-step explanation:
Can anyone help me out
Answer:
jamilla is not correct because she messed up. She is WRONG. and the reason is because she didnt add and divide properlly
Step-by-step explanation:
A salesman made a trip of 420 miles by bus and train. He traveled 3 hours by bus and 5 hours by train. If the train averaged 12 mph more than the bus, find the rate of each.
Answer:
The speed at which the buss made the trip was 45 mph and the train was 57 mph.
Step-by-step explanation:
The average speed is given by:
speed = distance / time
Therefore we can manipulate it to give us the distance:
distance = speed*time
The time distance of each stage of his trip summed must be equal to the total distance of the trip. Since he made a trip in two legs, one by bus that lasted 3 h at a speed of "x" and one that lasted 5 hours at a speed of "x + 12". We have:
420 = 3*x + 5*(x + 12)
3*x + 5*(x + 12) = 420
3*x + 5*x + 60 = 420
8*x = 420 - 60
8*x = 360
x = 45 mph
The speed at which the buss made the trip was 45 mph and the train was 57 mph.
Answer:
45 mph
Step-by-step explanation: