[tex]2(4x+1)<3(2x-3)\\\\\implies 8x +2 < 6x -9\\\\\implies 8x <6x -9 -2\\\\\implies 8x -6x < -11\\\\\implies 2x<-11\\\\\implies x< -\dfrac{11}2\\\\\\\text{Interval,} ~ \left(-\infty, -\dfrac{11}2 \right)[/tex]
Answer:
x<3.5
Step-by-step explanation:
multiply 2 with 4x and 1 to get 8x + 2 < 3(2x-3). Then multiply 3 by 2x and -3 to get 8x + 2 < 6x- 9. Then subtract -6x on both sides to get 2x + 2< -9. Next subtract 2 from -9 so x is by itself and then you get 2x < 7. Finally divide 2 on each side so you leave x byitself completely. You get x > 3.5
I hope u get it right!
SOMEONE HELP ME WITH THIS ASAP FOR BRAINLIEST THANK YOU!
Answer:1. (1,2) 2.(-1,0)
Step-by-step explanation:
1. 5x-4(-3x+5)=3 x=1 2. 3(2y-1)-2y=-3 y=0
y=-3x1+5 y=2 Plug them in X=2x0-1 x=-1 plug them in
Vika made $35,500 last year. If her income is increased by 10.5%, what is her adjusted income,
Ai? (show equation).
Answer:
$39,227.50
Step-by-step explanation:
Vika's income will be ...
$35,500 + 10.5%×35,500 = $35,500(1 +0.105) = $39,227.50
Vika's adjusted income is $39,227.50.
(3)
Lea wants to make two pillows for her new couch. She needs 3 square yards of fabric for the first pillow and 1, square
yards of fabric for the second pillow. Lea wants to know how much fabric she will have to buy for both pillows.
Which expression represents the total number of square yards of fabric she needs for both pillows?
The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
let
x = first pillow
y = second pillow
fabrics needed for first pillow = 3 yards
fabrics needed for second pillow = 1 yards
z = Total square yards needed
The equation:
3x + y = z
Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
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Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
let
x = first pillow
y = second pillow
fabrics needed for first pillow = 3 yards
fabrics needed for second pillow = 1 yards
z = Total square yards needed
The equation:
3x + y = z
Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z
Step-by-step explanation:
HELPPPP PLSSSS IT'S UNIT RATE BUT I Don't HAVE MUCH TIME TO DO IT!!!
Answer:
So Jennys Jean store charges the higher rate.
Step-by-step explanation:
Jeanys Jean store
Cost/pair = 20/1 = $20 per pair
Jeans warehouse
Cost/pairs = 36/2 = $18 per pair
So Jennys Jean store charges the higher rate.
√x - 5+ x = 7
please help me out :)
Write an equation of a line that is parallel to y = -3x + 5 and passes through (0, 3).
Answer in slope-intercept form
Answer:
A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.
I think that's the answer
Answer: y = -3x - 3
Step-by-step explanation:
If you are looking for a line that is parallel, then it must have the same gradient
Therefore;
y= -3x +c
And because it passes through (0,3), substitute in the values to find c
3 = -3 x 0 + c
c = 3
So the equations would be y = -3x -3
Complete the sentences below based on the graph of the function.
Please help!
Answer:
20 km20 km/h5 km/hStep-by-step explanation:
We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.
The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...
Sean's workplace is located 20 km from his home.
__
Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...
(20 km)/(1 h) = 20 km/h
Sean's speed driving to work was 20 km/h.
__
Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...
(10 km)/(2 h) = 5 km/h
Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.
_____
Additional comment
The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)
While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.
Which of the following is a nonlinear function
Answer:
Linear functions are equations where the greatest power of the variable (typically x) is 1;
They are graphed as straight lines;
So, any function that has the following format:
f(x) = ax + b;
Nonlinear functions would be any equation that has a variable to a power greater than 1;
This could be a quadratic equation or an exponential equation
the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach
Answer:
The ladder reaches [tex]15ft[/tex]
Step-by-step explanation:
In the first case we have
[tex]cos\theta =\frac{12}{15}[/tex]
In second case let the height be [tex]x[/tex]
We have
[tex]sin\theta =\frac{x}{25}[/tex]
We know that
[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]
Substituting
[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]
The ladder reaches [tex]15ft[/tex]
Kitty Foods sells their cat food in 3 3/4 lb bags, while Cat Caterers sells 2 1/8 lb bags. How much bigger are the bags Kitty Food sells than those sold by Cat Caterers? Reduce your answer to lowest terms.
A. 1/2 lb
B. 5/8 lb
C. 1 5/8 lbs
D. 1 1/2 lbs
Answer: The answer for the question is: 1 5/8
Step-by-step explanation:
pls help me with this maths question
Answer:
a.7/4x
b.2/3c
Step-by-step explanation:
Please help me with this math problem!! :) NO LINKS PLEASE!!
Answer:
2 more
Step-by-step explanation:
you can only get 1 of everything 2 times
this is - the outfit she already made
3 - 1 = 2 - 1 = 1
7 - 1 = 6 - 1 = 5
4 - 1 = 3 - 1 = 2
2 - 1 = 1 - 1 = 0
Identify the terms and like terms in the expression.3n+7−n−3
Answer:
n
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers.
greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?
No.
Step-by-step explanation:To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:
300 / 5 = 60.
60 miles represents the speed for 1 hour.
60<70.
The inequality indicates that his rate (60 miles per hour) is less than the speed limit.
Can U solve it
plz explain fully !
Answer:
(9 ^ 3) x 0.04 (4/99)
Step-by-step explanation:
This seems overwhelming, but after simplifying, it will look much easier
Numerator (First Row)
First, we will combine like terms and simplify the top row
(9 ^ x + 1) x 8 - (9 ^ x - 1) x 81
(9 ^ x + 1) - (9 ^ x - 1) x (8 x 81)
(9 ^ 2x) x 648
Denominator (Second Row)
Next, we can combine like terms and simplify the second row
(9 ^ x) x 66 - (9 ^ x - 2) x 243
(9 ^ x) - (9 ^ x - 2) x (66 x 243)
(9 ^ 2x + 2) x 16,038
Simplify
Our expression is now
(9 ^ 2x) x 648
(9 ^ 2x + 2) x 16,038
We can simplify it as
(9 ^ 3) x 0.04 (4/99)
Please help me 50 POINTS and BRAINLIEST TO CORRECT ANSWER!!!!!!!
Answer:
your answer is the last option
Step-by-step explanation:
There is no way to prove what the length for line WU is. You can find the side lengths for VW and VU but not WU. Therefore the last option is the correct answer
change 4700g into kg
Answer:
4.7 kilograms
Step-by-step explanation:
[ 1000 g = 1 kg ]
Change 4700g into kg,
→ 4700 ÷ 1000
→ 4.7 kg
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
W= 2
Step-by-step explanation:
If triangles ADE and ABC shown in the
figure to the right are similar, what is the
value of x?
Step-by-step explanation:
similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.
and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.
12 × 1/3 = 4.
so, A is correct.
Austin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $4.75 and each burrito for $9.50. Austin must sell no less than $760 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:30 tacos and 70 burritos
Step-by-step explanation:
inequality 1: y≤110−x shade down
inequality 2:y≥80− 1/2x Shade up
Answer (30,70)
The m<1 is 18 more than twice m<2. Find m<3.
See picture for full problem. Please and thank you!
====================================================
Explanation
x = measure of angle 1
y = measure of angle 2
x = 2y+18, since angle 1 is 18 more than twice that of angle 2
Assuming this is a parallelogram, the adjacent angles are supplementary. So,
x+y = 180
2y+18+y = 180
3y+18 = 180
3y = 180-18
3y = 162
y = 162/3
y = 54
This leads to,
x = 2y+18
x = 2*54+18
x = 108+18
x = 126
Note that x+y = 126+54 = 180
Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees
The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°
What is polygon?
In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
The measure of angle 1 = 2 × The measure of the angle 2 + 18
Write an equation for the above statement,
x = 2y + 18
Here, x is a measure of angle 1 and y is the measure of angle 2,
As you can see from the figure it is a parallelogram then,
x + y = 180 (The sum of supplementary angle)
Solve the equation by elimination method,
y = 54, x = 2 × 54 + 18 = 126
The opposite angle of a parallelogram are equal,
Measure of angle 3 = Measure of angle 1 = 126
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How do I factor this problem?
Answer:
[tex]7x(4x-1)[/tex]
Step-by-step explanation:
First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.
Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.
Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:
[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]
Another example of what I said above would be this:
Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.
[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]
A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $117 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $14 to purchase books and supplies. Each attendee will pay $15 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?
Answers:
To reach the breakeven point, how many attendees will that take? 117
What will be the company's total expenses and revenues? $1755 for each
=============================================================
Explanation:
x = number of attendees
C(x) = cost function for the company
C(x) = 14x+117
This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.
In contrast, the revenue is
R(x) = 15x
because each attendee brings in $15 for the company
The breakeven point is when the cost and revenue are the same. This produces a profit of $0.
R(x) = C(x)
15x = 14x+117
15x-14x = 117
x = 117
If 117 people attend the seminar, then the company breaks even.
To check this, we'll compute the cost and revenue
C(x) = 14x+117
C(117) = 14*117+117
C(117) = 1755
R(x) = 15x
R(117) = 15*117
R(117) = 1755
The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.
Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.
What is the area of the figure?
Answer:
So the answer would be 21 because the side is longer than 12 but not longer than 21
GUYS PLEASE HELP!!!
Answer:
C (5,4)
Step-by-step explanation:
(x,y)
fist number in the ordered pair is the X value
Second number in the ordered pair is the Y value
A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis
B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis
C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)
After doing all of these we see that C does not end up on the line
The following is a conversion table for hours and minutes. Which numbers belong in the hours column?
1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6
Answer:
2,3,4
Step-by-step explanation:
What is the height of the triangle?
17 units
34 units
51 units
68 units
12. Find the measure of the exterior angle.
Answer:
68
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
3x - 2 + 4x + 4 = 6x + 8 add like terms
7x - 2 = 6x + 8
7x - 6x = 8 + 2
x = 10
The measure of exterior angle
6x + 8 = 6*10 + 8
The measure of exterior angle is 68 degrees
a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?
Answer:
Step-by-step explanation:
12 inches per foot
The floor is 9(12) = 108 inches by
12(12) = 144 inches
The floor area is 108(144) = 15552 sq. In.
Each tile is 4(6) = 24 sq. in.
Need 15552/24 = 648 tiles
Suppose the length and width of a 6 by 10 sandbox is doubled. Find the percent change in the perimeter. Find the percent change in the area
Answer:
it becomes a 12 by 20
Step-by-step explanation: