what is the solution to
- 4x + 28 > 12
Answers
Answer:
[tex]\large\boxed{x<4\to x\in(-\infty,\ 4)}[/tex]
Step-by-step explanation:
[tex]-4x+28>12\qquad\text{subtract 28 from both sides}\\\\-4x>-16\qquad\text{change the signs}\\\\4x<16\qquad\text{divide both sides by 4}}\\\\x<4[/tex]
Related Questions
what numbers multiply together to make 1120 but add to be -148
Answers
Answer:
-140 and -8.
Step-by-step explanation:
-140 x -8 = 1,120.-140 + -8 = -148.These are all of the steps to completely and correctly solve this question.
Hope this helps!!!
Kyle.
Answer:
-8 and -140
Step-by-step explanation:
Let the numbers be x and y. Then xy = 1120, and x + y = -148.
Solving the first equation for y, we get 1120/x.
Substituting this into the second equation: x + 1120/x = -148
Multiplying all terms by x removes x from the denominator(s):
x² + 1120 + 148x = 0.
Let's use the quadratic formula to find x. Here a = 1, b = 148 and c = 1120.
Then the discriminant is b²-4ac, or, in this case, 148²-4(1)(1120) = 17424. Because this discriminant is positive, we have two real, unequal roots.
They are:
-148 ± √17424
x = ------------------------ = -8 and -140.
2
Note that -8 and -140 add up to -148, so that's correct.
(-8)(-140) = 1120, so that also is correct.
Matilda measures the perimeter of her bedroom to determine how many feet of border she needs to go around the tops of the walls. Two walls are each 96 inches long, and two walls are each 3 yards long. She pays $30 for border that costs $1 per foot. What are steps that you should take to determine if Matilda bought the correct amount of border? Select all that apply.
Answers
Answer:
She did not buy enough border. She needs 34 ft not 30.
Step-by-step explanation:
Find the perimeter of her room in feet:
12 inches in a foot
96/12=8
3 feet in a yard
3(3)=9
8 ft + 8 ft + 9 ft + 9 ft = 34 ft
She bought 30 ft of border, which is not enough because she needs 34 ft
The given border of 30 feet is not enough.
What is Perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
Given:
Two walls are each 96 inches long, and two walls are each 3 yards long.
She pays $30 for border that costs $1 per foot.
First step is to convert inches to feet
1 inch = 1/12 feet
96 / 12 = 8 feet
and, 1 yard = 3 feet
3 x 3 = 9 feet
Now, the perimeter of the room
= 9 + 9 + 8 + 8
= 34 inches
The feet of border bought
= $30 / $1
= 30
So, 34 > 30 thus the border is not enough
Learn more about Perimeter here:
https://brainly.com/question/23226467
#SPJ3
In certain Algebra 2 class of 29 students, 13 of them play basketball and 7 of them play baseball. There are 4 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answers
13-4=9 and 7-4=3
9+3=12
So the probability is 12/29
Find the degree of the monomial 13
A. 3
B. 4
C. 1
D. 0
Answers
Answer:
D
Step-by-step explanation:
Note that 13 = 13[tex]x^{0}[/tex] since [tex]a^{0}[/tex] = 1
Then 13 is a monomial of degree 0 → D
3 (3+x)+4 (x-6)=-4 what is x
Answers
Answer:
x is 38
Step-by-step explanation:
x=1.5
the full answer is in the photo
If f(x) = 8 -3 and g(x) = 3x2 + x-6, find (f + g)(x).
Answers
Answer:
D
Step-by-step explanation:
(f+g)(x) basically means to "ADD" f(x) and g(x).
We have
[tex]f(x)=\frac{x}{2}-3[/tex]
and
[tex]g(x)=3x^2+x-6[/tex]
Now we simply add these two, adding like terms as shown below (and simplify):
[tex](f+g)(x)=f(x)+g(x)\\=(\frac{x}{2}-3)+(3x^2+x-6)\\=3x^2+\frac{1}{2}x+x-3-6\\=3x^2+\frac{3}{2}x-9[/tex]
Correct answer is D
During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he increased the number of parts he usually makes?
Answers
Answer:
The answer is 80%.
Step-by-step explanation:
During a certain day, a worker made 81 parts.
He usually does 45 parts per day.
Number of extra parts made = [tex]81-45=36[/tex]
The percent by which he increased the number of parts he usually makes can be given as = [tex]\frac{36}{45}\times100[/tex] = 80%
Therefore, on that day, the percent increased by 80%.
Answer:
Increase by 80%
Step-by-step explanation:
45 : 100%
81 : y
[tex]\frac{81}{45} :\frac{y}{100}[/tex]
y × 45 = 81 × 100
45y = 8100
45y ÷ 45 = 8100 ÷ 45
y = 180
180% - 100% = 80%
Increase by 80%
Let n = 14.
What is the value of y in the equation y = 2 × n + 3?
Answers
[tex]
n=14 \\
y=2\times n +3=2\times14+3 \\
y=24+3\Longrightarrow y=\boxed{27}
[/tex]
ASAP!!! PLEASEEE!!!
A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts 100 bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 240 bacteria. Assuming exponential growth, what is the equation to determine the number of bacteria after t hours?
A) y=100(240)^t
B) y=100(1.681)^t
C) y=100(2.4)^t
D) y=100(1.157^t
Answers
Answer:
the correct answer would be A
Step-by-step explanation:
100 is the independent variable and 240 is the dependent variable think about is like interest rate
Please help ASAP!!!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
First, we know that angles 6 and 8 are supplementary.
Therefore m∠6 + m∠8 = 180°
123.5° + m∠8 = 180°
m∠8 = 56.5°
Then, using the alternating exterior angle theorem, we can find that...
m∠8 ≅ m∠1
So m∠1 = 56.5°
the answer to this question is A
What is p(t)=-log_10(t)^.5 in exponential form
Answers
Answer:
[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]
Step-by-step explanation:
Given equation is [tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]
Now question says to write that in exponential form.
So we can use the following conversion formula:
[tex]\log_ca=b\ \Rightarrow c^b=a[/tex]
[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]
[tex]-p\left(t\right)=\log_{10}t^\left(0.5\right)[/tex]
[tex]\log_{10}t^\left(0.5\right)=-p\left(t\right)[/tex]
Apply conversion formula
[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)\ \Rightarrow 10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]
[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]
The prism below is made of cubes which measure of a foot on one side. What is the volume?
A. 12 cubic ft.
B. 4/3 cubic ft.
C. 10/3 cubic ft.
D. 36 cubic ft.
Answers
Answer:
the answer is B. 4/3 cubic ft.
Step-by-step explanation:
use the formula
V = LWH
using 1/3 for each calculation
length = 3 (1/3 ft)
width = 4 (1/3 ft)
height = 3 (1/3 ft)
then you substitute those dimension
V = (3/3 ft.) (4/3 ft.) (3/3 ft.)
V = (1 ft.) (4/3 ft.) (1 ft.)
V = 4/3 cubic ft
NEED HELP ASAP PLEASE!!!!!
What additional information is needed to prove the triangles are congruent by HL?
A.)
B.) m
C.) BD~AC
D.) AC~EC
Answers
Answer:
D
Step-by-step explanation:
sice the above mentioned congurency test is based on rhs axiom hence D is answer
The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio of the income in 2001 to the income in 2003 in simplest form?
Answers
Answer:
8861 : 9495
Step-by-step explanation:
Ratio of income in 2001 to 2003:
53,166 : 56,970
Then, you can simplify by dividing both sides by 6:
8,861 : 9,495
Can't simplify anymore, Therefore this is the answer!
8861 : 9495
Hope I helped! Have a good day :)
Answer:
[tex]\frac{8861}{9495}[/tex]
Step-by-step explanation:
Income of an individual in 2001 = [tex]\$ 53,166[/tex]
Income of an individual in 2003 = [tex]\$ 56,970[/tex]
Here, we need to find ratio of income in 2001 to the income in 2003 in simplest form .
i.e we need to convert [tex]\frac{\$53,166}{\$ 56,970}[/tex] in simplest form .
A fraction [tex]\frac{a}{b}[/tex] is said to be in simplest form if [tex]HCF(a,b)=1[/tex]
So, we will first find [tex]HCF(53166,56970)[/tex] then divide both numerator and denominator by the HCF .
Here,
[tex]53166=2\times 3\times 8861[/tex]
[tex]56970=2\times 3\times 3\times 3\times 5\times 211[/tex]
So, [tex]HCF(53166,56970)=2\times 3=6[/tex]
On dividing both numerator and denominator by 6 , we get
[tex]\frac{53166}{56970}=\frac{8861}{9495}[/tex]
Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.
Which stamens are true ??check all that apply.
Answers
Answer:
it is 1,3,and 5
Step-by-step explanation:
The statements that are true about the ramp is:
The shape can be broken into a rectangular prism and a triangular prism.Step-by-step explanation:Clearly from the figure given to us we observe that:
It is made up of a rectangular prism and a right angled triangular prism.Also, if B is the base area of the rectangular prism (i.e. square base) and h is it's height then the volume of the Rectangular prism is:[tex]Volume=Bh[/tex]
Also, for the triangular prism the base area is halved and hence the base area of triangular prism is: B/2
Hence, the total volume of Triangular prism is: [tex]\dfrac{1}{2}Bh[/tex]
Hence, the total volume of figure is:
[tex]Bh+\dfrac{Bh}{2}[/tex]
Also, we have Base area B=4 square ft. (Since, it is made up of square base with side 2 ft. )and h=4.8 ft.
Hence, volume of figure is:
[tex]4\times 4.8+\dfrac{4\times 4.8}{2}\\\\\\28.8 cubic ft.[/tex]
how much warmer is 82 than -40
Answers
Answer: The difference between 82 and -40 is 122.
Step-by-step explanation:
To find out how much warmer 82 degrees is than -40 degrees, you add 40 to 82, which totals 122 degrees.
Explanation:To determine how much warmer 82 degrees is compared to -40 degrees, we simply calculate the difference between the two temperatures. This is a simple calculation where we subtract the lower temperature from the higher temperature.
The calculation would be: 82 - (-40) = 82 + 40 = 122 degrees.
So, 82 degrees is 122 degrees warmer than -40 degrees. Note that this calculation assumes that the temperatures are measured on the same scale, which is typically Fahrenheit in the context of weather temperature changes in the United States.
2. MONEY Hans opens a savings account by depositing
$1200. The account earns 3 percent interest
compounded weekly. How much will be in the
account in 10 years if he makes no more deposits?
Assume that there are exactly 52 weeks in a year and
round your answer to the nearest cent.
Answers
Using the formula for compound interest, the total amount in the account after 10 years, with no further deposits and 3 percent interest compounded weekly, is approximately $1615.65.
Explanation:This problem involves the concept of compound interest, specifically interest compounded weekly. To calculate the total amount in the account after 10 years, the formula for compound interest is used, which is A = P(1 + r/n)^(nt).
In this case, P, the principal amount, is $1200. The annual interest rate, r, is 3% or 0.03 when converted into decimal form. The number of times interest is compounded per year, n, is 52 weeks since interest is compounded weekly. Lastly, t stands for the number of years the money is invested or borrowed for, which is 10 in this instance. Plug these values into the formula to get the total amount after 10 years.
A = 1200(1 + 0.03/52)^(52*10) = $1615.65
So, if Hans makes no further deposits and the account earns 3 percent interest compounded weekly, the amount in the account after 10 years will be approximately $1615.65.
Learn more about Compound Interest here:https://brainly.com/question/34614903
#SPJ2
This table lists the coordinates of points on a line. What is the y-intercept of the line?
x -2 -1 0 1 2 3
y 16 12 8 4 0 -4
Answers
Answer:
The line intercepts the y-axis and [tex]y = 8[/tex]
Step-by-step explanation:
The intersection on the y-axis of a line is found to be [tex]x = 0[/tex].
That is, the intercept with the y-axis is the value of the function when x is equal to zero.
In this case we know the following points of the function:
x : -2 -1 0 1 2 3
y : 16 12 8 4 0 -4
Note that when [tex]x = 0[/tex] then [tex]y = 8[/tex].
Therefore the line intercepts the y-axis and [tex]y = 8[/tex]
What is the area of the two-dimensional cross section that is parallel to face ABC ?
Enter your answer in the box.
Answers
Check the picture below.
Hi uwu pls help me with math i don't understand :'(
c.) How many applications will your mother actually use on her new cell phone? Solve the equation you wrote in part b to find the unknown variable.
((part B is right here, but no need to answer it K: Your mother has a new cell phone. It comes with 18 applications already installed. She uses only "2" /"3" of those applications. She downloaded an additional 12 applications that she uses regularly. Write an equation to represent the total number of applications your mom uses. Explain your equation and your reasoning. answer for part B: 24 applications are what your mom regularly uses. ))
Answers
Answer:
It's 24
Step-by-step explanation:
18 apps already installed
2/3 of 18 is 12
12+12=24
24 applications have been installed.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
Given
18 apps already installed
2/3 of 18 = 12 are used
Additional 12 apps installed
Total = 12+12=24
To know more about algebraic expression refer to :
https://brainly.com/question/718520
#SPJ2
PLEASE PLEASE HELP ME ASAP!!!!!
A. 4
B. 14
C. square root of 52
D. square root of 61
Answers
Answer:
Square Root of 61
Step-by-step explanation:
Square root of 54
^u^
an expression is shown. 5x=32 what is the value of x that makes the equation true.
Answers
Answer:
6.4
Step-by-step explanation:
5x = 32
Divide both sides by 5.
5x/5 = 32/5
x = 6.4
Divide by 5 on both sides.
5x divided by 5 leaves x alone.
32 divided by 5 is 6.4.
6.4 • 5 = 32
X = 6.4
Hope this helps!
what decimal is equivalent to 8/100
Answers
Answer:
0.08
Please give me brainiest!
Trying to get up a rank <:)
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values:
The fraction number = 8/100
step 2 Write it as a decimal
8/100 = 0.08
0.08 is the decimal representation for 8/100
Answer:
0.08 Is the answer
How do u find out the area.
Answers
Answer:
66yds^2
Step-by-step explanation:
Use the formula for the area of a triangle.
1/2(b * h)
Plug in the values.
1/2(11 * 12)
1/2(132)
66
Final answer:
To find the area of a shape, you multiply its length by its width. Different shapes have different formulas to calculate their areas, such as rectangles and triangles.
Explanation:
In mathematics, to find the area of a shape or region, you need to know the length and width of that shape. For example, to find the area of a rectangle, you multiply its length by its width. The formula for the area of a rectangle is A = length x width.
For example, if a rectangle has a length of 5 units and a width of 3 units, the area would be 5 x 3 = 15 square units.
If you have a shape that is not a rectangle, you may need to use a different formula. For example, to find the area of a triangle, you can use the formula A = 1/2 x base x height. The base is the length of the bottom side of the triangle, and the height is the distance from the base to the top point of the triangle.
Please help , Is it abc or D . I really want to understand this
Answers
Answer:
B
Step-by-step explanation:
The surface area (A) of a sphere is
A = 4πr² ← r is the radius which we require
Given A = 2500π, then
4πr² = 2500π ( divide both sides by 4π )
r² = 625 ( take the square root of both sides )
r = 25
The volume (V) of a sphere is
V = [tex]\frac{4}{3}[/tex]πr³, and
[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex]r³ = [tex]\frac{4}{3}[/tex] × 25³ , thus
[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex] × 15625 ≈ 20833.33.. → B
what is 25^3k=625 using solving exponential equations will give brainly
Answers
Answer:
k= 2/3 2 over 3.
or 0.60%
Step-by-step explanation:
Answer:
0.04 or 1/25
Step-by-step explanation:
Note that 25^3 = 15625.
Then 15625k = 625.
Solve for k using division:
k = 625 / 15625 = 0.04
Note that we could also do the problem in this manner:
25 = 5^2
625 = 5^4
Therefore, 5^4 * k = 5^2
Dividing both sides by 5^4, we get:
5^2 1
k = ------------ = 5^(2-4) = 5^(-2) or ---------- = 1/25 = 0.04 (same as before)
5^4 5^2
You are paid $82.50 for 712 hours of work. What is your rate of pay?
Answers
Answer:
If it's 7 1/2 hours, then the answer is $11 dollars an hour.
Answer:
$11 dollars an hour.
Step-by-step explanation:
Graph the liner equation. Find three points that solve the equation then plot on the graph -5x-3y=-7
Answers
Answer:
Step-by-step explanation:
-5x - 3y= -7
+5x +5x
-3y= 5x -7
------ ------
-3 -3
y=-5/3x + 7/3
Please need help on this
Answers
Answer:
SAS Similarity Theorem
Step-by-step explanation:
Google SAS Similarity Theorem for explanation.
Please help!!
Find the exact circumference of the circle.
Answers
Answer:
C) 26π mi
Step-by-step explanation:
1. Find the diameter:
24² + 10² = d², because of the pythagorean theorem.
Add: 676 = d²
Square root: 26 = d, no negatives by domain
2. Find the circumference:
C = dπ
Plug in: C = 26π miles