According to the information we can infer that the correct inequality that represents the given situation is D.) X - 27 < 400.
Which inequality does represent the given situation?Let's break down the information provided: Steve gained some points, lost 27 points, and finished with less than 400 points. To represent the number of points Steve had initially, let's use 'X'.
After gaining some points, his total would be X + G, where G represents the gained points.After losing 27 points, his total would be X + G - 27.Since he finished with less than 400 points, we can express this as X + G - 27 < 400.
Simplifying the equation, we get X - 27 < 400.According to the above we can conclude that the correct inequality that represents the given situation is D.) X - 27 < 400.
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Help me ;-;
Find (2)(‐3)
Solved previously.The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the area of the triangle, in square units
Answer:
6√3 square units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...
3(2/√3) = 2√3 . . . . side AB in the attached figure
and
2·3 = 6 . . . . . . . . . . side AC in the attached figure
Then the area of the triangle is ...
A = 1/2bh
A = 1/2(6)(2√3) = 6√3 . . . . square units
question math genius help but preparation for tmrw math exam
a) 2x-y-3=0,4x+y-3=0
lots of thx if u helped
Step-by-step explanation:
make sure to number your equations
[tex]2x - y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: (1)[/tex]
[tex]4x + y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: (2)[/tex]
In equation 2 make y the subject
[tex]y = - 4x + 3 \: \: \: \: \: \: \: \: \: (3)[/tex]
subs 3 into 1
[tex]2x - ( - 4x + 3) - 3 = 0[/tex]
[tex]2x + 4x - 3 - 3 = 0[/tex]
[tex]6x - 6 = 0[/tex]
[tex]6x = 6[/tex]
[tex]x = 1 \: \: \: \: \: \: \: \: \: \: \: (4)[/tex]
sub's 4 into 2
[tex]4(1) + y - 3 = 0[/tex]
[tex]4 + y - 3 = 0[/tex]
[tex]y = - 4 + 3[/tex]
[tex]y = - 1[/tex]
Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
Answer:
g=6
Step-by-step explanation:
6.4×6-1.4×6=
38.4-8.4=30
its true if it is not the result is incorrect
Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.
Answer:
50 miles
Step-by-step explanation:
Multiply the given scale numbers by 1/2 to find your answer:
1/2 in = 100 mi
(1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2
1/4 in = 50 mi
PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!
Answer: The answer is 27.04 square inches.
Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.
Answer:
27.04 in^2
Step-by-step explanation:
hope this helps! :)
3a2 + 2a + 2a2 is equal to
Answer:
5a^2 +2a
Step-by-step explanation:
Like terms are ones with the same exponent of x. They can be combined.
3a^2 +2a +2a^2
= (3a^2 +2a^2) +2a
= (3+2)a^2 +2a
= 5a^2 +2a
5a² + 2a
Step-by-step explanation:
[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]
[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]
[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]
HRLP ME PLEASE BRO PLEASE ALL I NEED IS THE ANSWER
If f(x) = 2x - 1 and g(x) = x^2 - 3x - 2, find (f + g)(x).
Answer:
SEE attched pic
Step-by-step explanation:
Download symbolab
Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.
Answer:
(a) Line 1
Step-by-step explanation:
The given point is only a solution to the equation for Line 1. This is shown in the attached graph.
__
You can put those values into each equation to see if it is satisfied.
1: -4 +2 = -2 . . . . this equation is satisfied.
2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied
(-4, 2) is a solution to the Line 1 equation only.
Plz, help I will give brainiest to the correct answer!
Answer:
A is correct.
Step-by-step explanation:
A furniture store donated a percentage of every sale to hospitals. The total sales were $7,125 so the store donated $570. What percent of 7,125 was donated to hospitals
Answer:
8%
Step-by-step explanation:
570 / 7125 = x / 100
Cross multiply
570 * 100 = 7125x
57000 = 7125x
Divide each side by 7125
8 = x
if 1 orange cost 30 cents how many oranges can you buy for 10.50
Answer:
300!! I think...
Step-by-step explanation:
30 x 10 = 300
If you divide .30 by 10.50, you get 30. So, you can buy 30 oranges for a total of 10.50 when each orange is .30.
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation
Answer:
4^n-1
Step-by-step explanation:
So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)
Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items
In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).
Applying "ar^n-1 " we get,
1*4^n-1 which is , 4^n-1
Thats the formula which represents the situation....
help me please!!!!!!!
Answer:
I have no idea.
Step-by-step explanation:
I failed geometry.
what is the y intercept of the graph with an equation: 2x-6y=18
Answer:
2X(34.-98) DE LA YOE
Step-by-step explanation:
3
Write 3
as an improper fraction.
4
Answer:
I'm sorry, but this isn't clear. Maybe remake the layout you wrote? Because 3 3 4 doesn't make sense.
[tex]\huge\boxed{Hi\: there!}[/tex]
3 as an improper fraction: 3/1.
Remember, an improper fraction is a fraction where the numerator is larger than the denominator.
[tex]\huge\boxed{Therefore, \: 3 \: as \: an \: improper\: fraction\: is: \frac{3}{1} }[/tex][tex]\huge\bold{Good \: luck\: with \: your\: studies! :)}\\\huge\bold{Answered \:by: \: An\: Unknown \: Dreamer}[/tex]
HELP PLEASE!!
(It’s slope)
Answer:
Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!
Step-by-step explanation:
Im not good at explaining things without it sounding very confusing... sorry.
Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.
Answer:
Henry payed $ll.70
Step-by-step explanation:
1.20 times 9 3/4 (or 9.75) equals 11.7
frrrrrrrrreee points
help please!
i can't figure it out.
Answer:
35
Step-by-step explanation:
8 + 27 would give us 35
We add the negative since it starts from there and works it's way up.
Hey guys please give me the correct answer.
Step-by-step explanation:
-5 - 2x < - 4
Bringing like terms on one side
-2x < - 4 + 5
-2x < 1
x < - 1/2
Option none is the correct answer
Hi. I'm kind of confused on this question. Pls help
Answer:
B is the awnser.
Step-by-step explanation:
cuz it is incorrect.
In ADEF, m
must be true?
Plssss need helpppp
Answer:
E. FD<DE<EF
Step-by-step explanation:
First I needed to find the other angle which I found by adding the two angles that were given.
103 +14 =117
180 - 117= 63
then to find which sides were the longest I looked and the angles and found their corresponding sides.
<D went with side FE
<F went with side DE
<E went with side FD
The smallest angle was <E therefore the smallest side was FD
The middle angle was <F therefore the medium side was DE
The largest angle was <D therefore the smallest side was FE
I hope this helps!!
Please tell me if I have made a mistake enjoy learning from them!!
If I am correct could you please mark me brainliset? I am trying to level up!!
Thank you for your time:)
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?
Answer:
P = 342 ft
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Factoring/ExpandingQuadratics
Solving quadratic equationsStandard Form: ax² + bx + c = 0Geometry
Area of a Rectangle Formula: A = lw
l is lengthw is widthPerimeter of a Rectangle Formula: P = 2w + 2l
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables.
A = 5670 ft²
"Length that is 9 feet less than 3 times its width" → l = 3w - 9
Step 2: Find w
Substitute in variables [Area of a Rectangle Formula]: w(3w - 9) = 5670[Distributive Property] Expand: 3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]: 3w² - 9w - 5670 = 0[Quadratic] Factor: 3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]: w = -42, 45Since length/width cannot be negative, we know that w = 45 ft.
Step 3: Find l
Substitute in w [Length Formula]: l = 3(45) - 9[Order of Operations] Evaluate: l = 126 ftStep 4: Find Perimeter
Substitute in variables [Perimeter of a Rectangle Formula]: P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate: P = 342 ft∴ The perimeter of Janice's fence is 342 ft.
Let width be x ft
Length be 3x-9ft
Now
Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0On solving we wI'll get x=-42,45
Take it positive
x=45width=45ftLength=3(45)-9=135-9=126ftNow
Perimeter
2(Length+Width)2(45+126)2(171)342ftLast season, your
favorite basketball
team won 20 games. This
season, your favorite
basketball team won 31
games. What is the
percent change in the
number of games that
your favorite team won
from last season to this
season?
Answer:
55%
Step-by-step explanation:
The percent change formula is written like this:
[tex]|\frac{change - original }{original}|[/tex]. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.
help pls will mark brainliest if it is correct, its not 72.
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
The top has 6 faces, so 6 x 2 = 12
The bottom has the same, 12
The left side has 3, 3 x 2 = 6
The front and inside has 6, x 2 = 12
The right side has 2 x 2 = 4
The back has 3 x 2 = 6
12 + 12 + 6 + 12 + 4 + 6 = 52
Solve |6x + 3| = 27.
A. x = 4 and x = -5
B. x = -4 and x = -5
C. x = -4 and x = 5
D. x = 4 and x = -4.
Answer:
it's d
.
hope I helped! I need to write more words so I can send this
Answer:
The answer is A
Step-by-step explanation:
|6x + 3| = 27
Use the definition of absolute value6x + 3 = 27
6x + 3 = -27
Subtract three from both sides of the equation.6x = 24
6x = -30
Divide both sides by 6.x = 4
x = -5
So:
x = 4, -5
what is the 60th term of the sequence 2, -3, -8, -13?
Answer:
-293
Step-by-step explanation:
The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...
an = a1 +d(n -1)
an = 2 -5(n -1)
The 60th term is ...
a60 = 2 -5(60 -1) = -293
The line plot shows the costs of 5 books. A teacher buys all 5 books. She pays
with a $100 bill. How much change should she get?
Answer:
$36 in change
Step-by-step explanation:
book cost total: 64
100-64=36
If you aren't sure how to read the chart, each "X" represents one book and the numbers below represent the price.