The values that are solutions to the inequality -3 < 2x -3 are all real numbers greater than 0.
What is the solution to the given inequality?Given the inequality in the question;
-3 < 2x -3
Solve for x, by making it the subject of the formula.
Subtract 2x from both sides
-3 < 2x -3
-3 - 2x < -3
Add 3 to both sides
-3 + 3 - 2x < -3 + 3
-2x < -3 + 3
-2x < -3 + 3
-2x < 0
Next, divide both sides by -2
-2x/-2 > 0/2
x > 0/2
x > 0
Therefore, the solution to the inequality is x > 0.
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The temperature during the night was -4. In the morning the temperature increased by 3. What is the temperature in the morning
Answer:
-1
Step-by-step explanation:
Night: -4
Morning: -4 + 3 = -1
Simplify in radical form:
-x√28+10√63x²
Radical form is rather simple. It refers to the form of a number or algebraic expression where the number or expression is contained under a radical. The answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].
What does in radical form mean?Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.
A radical notation is an expression that makes use of a root, such as the square or cube root.
The fundamentals of radical form are simple. When a numerical or algebraic expression is under a radical, the term refers to that version of the expression. To improve that, we can manipulate a number or an algebraic expression in radical form to convert it to simplest radical form.
[tex]\text { Simplify }-x \sqrt{2} 8+10 \sqrt{6} 3 x^2:-\\\\8 \sqrt{2} x+30 \sqrt{6} x^2 -x \sqrt{2} \cdot 8+10 \sqrt{6} \cdot 3 x^2 \\\\& =-8 \sqrt{2} x+30 \sqrt{6} x^2\end{aligned}$$[/tex]
Therefore, the answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].
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WORK OUT ANGLE BXC.
GIVE A REASON FOR EACH ANGLE YOUR WORK OUT
Answer:
a) Angle XBC = 55° because it is a corresponding angle to 55°
b) angle BXC = 70°
Step-by-step explanation:
ΔXBC is an isosceles triangle because XB = XC
∠XCB = ∠XBC because ΔXBC is an isosceles triangle
∠BXC = 180° - 55° - 55° = 70° because the sum of all the interior angles of a triangle - 180°
Answer:
b) BXC=70
Step-by-step explanation:
a)
Angle XBC = 55° as XY and BD are parallel lines, the interior angles on the same side of a transversal are supplementary hence the same.
b)
Triangle BXC is isosceles when XBC and XCB are both 55°
XBC+XCB+BXC= 180° (sum of angles of triangle)
55°+55°+BXC=180°
110°+BXC= 180°
BXC= 180°-110°
BXC= 70°
Kyle has a loan of $32,890
This loan has a simple interest rate of 8% per year
What is the amount of interest that Kyle will be
charged on the loan at the end of one year?
Answer:
$2,631.20
Step-by-step explanation:
We are told that the loan has a simple interest rate of 8% per year. This means that every year that goes on without Kyle paying back the money, he will have to pay an extra 8% of $32,890 as interest.
After one year, he only has to pay back one lot of interest, just 8% of $32,890.
To find that number we can change 8% into a decimal: 8%/100% = 0.08
And then multiply this by the amount of loan money:
0.08 x 32,890 = 2,631.20
Kyle has to pay $2,631.20 of interest at the end of one year.
Hope this helped!
Whats the anwser for 3 2/7 + 1 4/7
Answer:
4 6/7
Step-by-step explanation:
Y+4>-3x-1 is (-1,4) show solution
Answer:
It is a solution
Step-by-step explanation:
Given
[tex]y + 4 > 3x-1[/tex]
Required
Is [tex](-1,4)[/tex] a solution
[tex](-1,4)[/tex] implies that:
[tex]x=-1\ \ \y = -4[/tex]
Substitute in:
[tex]y + 4 > 3x-1[/tex]
[tex]-4 + 4 > 3 * -1 -1[/tex]
[tex]-4 + 4 > -3 -1[/tex]
[tex]0 > -4[/tex]
The above inequality is true.
Hence, [tex](-1,4)[/tex] is a solution y + 4 > 3x-1
figure A is reduced of figure B.
a). what is the scale factor?
b). if A has area 15cm2. find the area of B.
Part A
Answer: 3/5Reason:
Divide the side lengths of B over A to get B/A = 3/5. The order is important. The fraction 3/5 is smaller than 1 to indicate a size reduction. There are no units involved with the scale factor.
=========================================
Part B
Answer: 5.4 square cmReason:
The linear scale factor is 3/5. The area scale factor is (3/5)^2 = 9/25. It means if figure A had area 25, then figure B would have area 9.
Let's use that idea to set up the following:
(area of figure B)/(area of figure A) = 9/25
B/A = 9/25
x/15 = 9/25
25x = 15*9
25x = 135
x = 135/25
x = 5.4 represents the area of figure B
PLEASE HELPPPP
Find the value of y
X+ y= 20
8x + 6y=133
An above-ground swimming pool is 5 feet long, 4 feet wide, and 3 feet deep and is shaped like a rectangular prism. A rectangular prism has a length of 5 feet, height of 3 feet, and width of feet. If you use a net to find the amount of material used to make the pool, what faces are included in the calculation? 5-foot by 4-foot face(s) 5-foot by 3-foot face(s) 4-foot by 3-foot face(s)
Answer:
✔ 1
5-foot by 4-foot face(s)
✔ 2
5-foot by 3-foot face(s)
✔ 2
4-foot by 3-foot face(s)
Step-by-step explanation:
EDGE 2021
The faces that must be included are two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².
what faces are included in the calculation?For the pool, we need to consider the four lateral face and the bottom face . (not the top, as it is a hole actually).
So if we have:
length = 5ftwidth = 4fthegith = 3ftThen we have two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².
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160.7 is what percent of 128?
Answer:
125.54%
Step-by-step explanation:
160.7/128 = 1.2554
1.2554 *100 = 125.54%
Solve 10ax + 9b = 8cx + d for x
Answer:
Step-by-step explanation:
Step 1: Subtract 8cx from both sides of the equation to get
10ax + 9b - 8cx = d
Step 2: Subtract 9b from both sides of the equation to get
10ax - 8cx = d - 9b
Step 3: Multiply both sides of the equation by (-1/10) to get
-8cx/10 = -(d - 9b)/10
Step 4: Add (d - 9b)/10 to both sides of the equation to get
-8cx/10 + (d - 9b)/10 = 0
Step 5: Simplify the left side of the equation to get
x = (9b - d)/80
Therefore, x = (9b - d)/80 is the solution to the equation 10ax + 9b = 8cx + d.
June is buying a sweater using a coupon offering a 30% discount on items over $99. If the discounted price is $91, how much was the original price of the sweater?
Answer: 130
Step-by-step explanation:
The original price of the sweater is $303.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, June is buying a sweater using a coupon offering a 30% discount on items over $99.
The discounted price is $91
Let the original price of the sweater be x.
So, 30% of x=91
30/100 ×x=91
0.3x=91
x=91/0.3
x=$303
Therefore, the original price of the sweater is $303.
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The cost of a barrel of beans, b, fluctuates by 17% in both directions during a three-month period.
Match each verbal description of the high and low cost of a barrel of beans with all equivalent expressions.
b + 0.17bb-0.17bb-1.17 -0.17b
0.830
1.17b
b is increased by 17%
bis decreased by 17%
Answer:
b is increased by 17% : A and E
b is decreased by 17%: H and J
Step-by-step explanation: Took the test hope this helps
Whats the answer to this?
−0.7(−5b−5b+7)−0.9b
Answer: Simplify the expression.
6.1b − 4.9
if you had had a dog and a cat how many horses would u have
Answer: a lot
Step-by-step explanation:
Answer:
ummmm none? maybe
Step-by-step explanation:
What is the coefficient in the expression 6 – 2 + 4n
Answer:
4
Step-by-step explanation:
The coefficient is 4 because it is the amount placed before a variable. The variable is the x, therefore, the coefficient is the 4, the amount placed before the x.
Hope this helps! :)
Please help, give Brainliest
Answer:
0.44, or 8/18
Step-by-step explanation:
The probability of it being blue is 8/18 or 0.444... (0.44)
Select the correct answer from each drop-down menu.
A town's population was 10,000 in 2005. The population has increased by 10% per year since 2005.
This situation represents
The rate of growth or decay, r, is equal to ____. So each year the number of residents in the town is ___ times the number in the previous year.
There were around 14,641 residents in the town ___ years after 2005.
The rate of growth or decay, r, is equal to 0.10.
What is population?Population in math refers to the set of all items of interest in a given context. It is the target or focus of a statistical study, and the objects described by the population's characteristics are known as population elements. It is important to define the population in detail before analyzing data and drawing conclusions. Examples of populations can include all students at a school, all people living in a particular country, or all people who bought a particular product.
So each year the number of residents in the town is 1.10 times the number in the previous year.
There were around 14,641 residents in the town 14 years after 2005.
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Help asap 6th grade math
Answer:
the answer is 7
Step-by-step explanation:
because 7×31=217 so that means she wrote 7 pages each day for 31 days
PLEASE HELP ME THIS IS DUE RIGHT NOW HELP ASAP
============================================================
Explanation:
We'll need to find the slope of the line through the two given points.
[tex](x_1,y_1) = (-3,17) \text{ and } (x_2,y_2) = (2,-3)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-3 - 17}{2 - (-3)}\\\\m = \frac{-3 - 17}{2 + 3}\\\\m = \frac{-20}{5}\\\\m = -4\\\\[/tex]
The slope is -4.
Think of -4 as -4/1. The reciprocal is -1/4, and it flips in sign to +1/4 or simply 1/4.
The original slope -4 leads to the perpendicular slope 1/4. The two slopes multiply to -1. This is true of any perpendicular lines where neither is vertical nor horizontal.
------------------------
In short, the answer equation will involve a slope of 1/4. This points us directly to choices A and E as two answers so far.
Something like choice B is not an answer since it has slope 4. Choice C is ruled out because 4x+y = -8 solves to y = -4x-8. It has a slope of -4.
Choice D on the other hand has x-4y = 2 solve to y = (1/4)x - 1/2, and this has a slope of 1/4 that we want. This means choice D is another answer.
Choice F and choice G are ruled out because they involve slopes of 4 and -4 respectively.
------------------------
Summary: The 3 answers are choices A, D and E
Step-by-step explanation:
the slope of a line is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
so for (-3, 17) and (2, -3) we get
x changes by +5 (from -3 to 2).
y changes by -20 (from 17 to -3).
the slope is
-20/+5 = -4/1 = -4
now, a perpendicular slope (90° to the original slope) is putting the slope fraction upside-down and flips the sign :
+1/4 or simply 1/4.
the slope in an equation of the form "y = ..." is always the factor of x.
y + 2 = (1/4)(x - 1)
yes, there are only some constant additions or subtractions to get to a or "y = ..." form, so 1/4 is indeed the factor of x and the slope of this line.
y = 4x + 12
4 <> 1/4, so, no, it is not.
4x + y = -8
y = -4x - 8
-4 <> 1/4, so, no, it is not.
x - 4y = 2
-4y = -x + 2
y = (1/4)x - 2/4
1/4 is indeed 1/4, so, yes, it is.
y = (1/4)x - 15
1/4 is indeed 1/4, so, yes, it is.
y + 3 = 4(x - 2)
similar to the first one, but 4 <> 1/4, so, no, it is not.
y = -4x + 3
-4 <> 1/4, so, no, it is not.
Assume that y varies directly with x. If y = 18 when x = -3, find x when y = 6.
Answer:
x=-1
Step-by-step explanation:
y=kx
18=-3*k
k=-6
6=x*-6
x=-1
Answer:
x=-+1
Step-by-step explanation:
(PLEASEHELP )Graphic artist makes covers for paperback novels, the pay is $350 per cover. If the artist draws six covers in 48 hours, what is their approximate hourly rate to the nearest $10?
Answer:
350(6) / 48 = 43.75
Step-by-step explanation:
40$ per hour.
Please Help! Need this to pass :/
Answer:
d=12.5
Step-by-step explanation:
.......................................
HAVE A NICE DAY
WILL GIVE BRAINLST :)
Answer:
6). x + 70° + 70° = 180°
x + 140° = 180°
x = 180° - 140° = 40°
Therefore x is equal to 40°
7). y + 55° +60° = 180°
y + 115° = 180°
y = 180° - 115° = 65°
Therefore x is equal to 65°
8). n + n + 50° = 180°
2n + 50° = 180°
2n = 180° - 50° = 130°
n = 130°/2 = 65°
Therefore both the angles are 65°
Explaination:
All the angles of a triangle always add up to 180°
Please help!
11. A radio station plays 3 commercials for every
8 songs it plays. If they played 72 songs
during the moming segment, how many
commercials did they play?
What is the answer please help me no
Links
Solving Polynomial Equations
25x²-9=0
Answer:
x = (3/5, -3/5)
Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94,900
What was the population of the town in 2020?
Answer:
Step-by-step explanation:
Answer:
97611 is the correct answer
Help help help help help help help
Answer:
a + b
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
x = a + b
Anyone who know what the answer please please help me faster??!!?!?!!!!
Answer:
60%
Step-by-step explanation:
Answer:
The answer is 60%
Step-by-step explanation:
The question tells us to find the probability of male sophomore students. From the question we know that the total number of sophomore students are 10 (6 male + 4 female). The probability is # of male student over the total # of sophomore students which is 6/10 = 0.6 now we multiply is it by 100% which gives us 60% (0.6 x 100% = 60%) as our answer.