Answer:
x < 3
Step-by-step explanation:
3 + x-2/x-3 ≤ 4, x ≠ 3
3 + x-2/x-3 -4 ≤ 0
-1 + x-2/x-3 ≤ 0
-(x-3) + x-2/x-3 ≤ 0
1/x-3 ≤ 0
x-3 < 0
x < 3, x ≠ 3
x < 3
x<3 is the solution of the equation 3 + (x-2) / (x-3) ≤ 4.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given equation can be rewritten as 3 + (x-2) / (x-3) ≤ 4.
To solve for x, we need to multiply both sides by (x-3)
3(x-3) + (x-2) ≤ 4(x-3).
3 + x-2/x-3 -4 ≤ 0
Solve the above equation.
-1 + x-2/x-3 ≤ 0
-(x-3) + x-2/x-3 ≤ 0
1/x-3 ≤ 0
x-3 < 0
x < 3
Hence, x<3 is the solution of the equation 3 + (x-2) / (x-3) ≤ 4.
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Solve the system of equations -x-y=-2 and 5x + 7y= 28 by combining the
equations.
Therefore , the solution of the given problem of equation comes out to be x = 11 and y =-9.
What is equation?The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.
Here,
Given :
=> -x-y=-2
=> 5x + 7y= 28
So ,
=>x = 2-y
thus,
=> 5(2-y) + 7y =28
=> 10 -5y + 7y =28
=> 10 -2y = 28
=> -2y = 18
=> y =-9
and
=> x = 2 - (-9)
=> x = 11
Therefore , the solution of the given problem of equation comes out to be x = 11 and y =-9.
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What is the value of B for the following triangular prism? Remember that there are 10 millimeters in a centimeter
Answer:
B
Step-by-step explanation:
1) transform mm in cm
12 : 10 = 1,2 cm
2) find the base area
base area = (leg 1 x leg 2)/2 = (1,2 x 4,5)/2 = 2,7 cm^2
did not mean to press answer sorry
Suppose that you want to begin saving money to buy a house valued at $300,000. The bank recommends that you have a 20% down payment before it approves a loan for the remaining difference. How much money do you need to save before you will be approved for a loan? What is the remaining difference that you will need to borrow?
Answer:
$60,000 as down payment and remaining difference for loan is 300,000 - 60,000 = $240,000.
The money you need to save before you will be approved for a loan is $60,000 and the remaining difference that you will need to borrow is $2,40,000
What is a percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
What is a loan?A loan is money, property, or other material goods given to another party in exchange for future repayment of the loan value amount with interest.
Given value of the house is $300,000.
The bank recommends that you have a 20% down payment before it approves a loan i.e. is $300,000× 20% = $60,000
The remaining difference that you will need to borrow is $300,000 - $60,000= $2,40,000
Thus the money you need to save before you will be approved for a loan is $60,000 and the remaining difference that you will need to borrow is $2,40,000
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write a word problem and make and explain a math drawing for 4×3/4=?
Answer:u cheating like a mfka lol
Step-by-step explanation:dwd
Find the value of x.
Answer: x = 4
Step-by-step explanation:
Based on the given distances and angle measures, DE is congruent to XY, DF is congruent to ZX, and EF and ZY are congruent.
This means that:
[tex](4x-1)=15[/tex]
Simplify and solve for x.
[tex]4x-1=15\\4x=16\\x=4[/tex]
So, x = 4
A spinner has an equal chance of landing on either red, blue, or green. You spin six times. What is the probability that spinner lands on red exactly three times?
HELP PLEASE show work if possible I WILL MARK BRAINLIEST TO BEST ANSWER
The Value for x and y as follow:
A) x=2 and y=-8
B) x = -2 and y = 5
C) x = -9/4 and y= -5/2
What is Elimination Method?The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.
Given:
A) 9x- 2y = 34...............(1)
5x+ 2y = -6..............(2)
Adding equation (1) and (2) we get
9x -2y = 34
5x + 2y = -6
_____________
14x = 28
x= 28/14
x= 2
and, 5x +2y= -6
5(2) + 2y= -6
2y = -6 -10
y = -8
B) x+ 6y = 28.....................(3)
2x -3y = -19................(4)
Multiply equation (2) by 2 we get
4x - 6y = -38.......................(5)
Adding equation (3) and (5), we get
x + 6y = 28
4x- 6y = -38
___________
5x = -10
x= -2
and, x+ 6y= 28
-2 +6y= 28
6y= 30
y=5
C) 8x -6y = -3................(6)
6x -5y = -1......................(7)
Multiply equation (6) by 5 and equation by (6), we get
40x - 30 y = -15
36 x - 30y = -6
- + +
____________
4x = -9
x= -9/4
and, 8x - 6y = -3
8(-9/4) - 6y = -3
-18 - 6y= -3
-6y = 15
y = -5/2
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Jamie has 18/5 cups of frosting she uses 2/5 cups of frosting for each cupcake how many cupcakes will Savannah be able to frost
Answer:
9
Step-by-step explanation:
18/5 ÷ 2/5 = 18/5 x 5/2 = 9
-(x - 13) = 10(x + 9)
What percent are left hand dominant?
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Use Pythagorean theorem, C^2 = A^2 + B^2
Where c is the hypotenuse, and b and a are the sides.
Substitute and solve:
[tex]C^2 = 6^2 + 8^2[/tex]
[tex]C^2 = 36 + 64[/tex]
[tex]C^2 = 100[/tex]
[tex]\sqrt{C^2} = \sqrt{100}[/tex]
[tex]C = 10[/tex]
find an equation for the line that passes through the points (-6,-3) and (4,5).
The equation of the line that passes through the points (- 6, - 3) and (4, 5) is y = (4 / 5) · x.
How to determine the equation of the line from two points
In this question we have the knowledge of two points, of which we must derive the equation of a line, whose definition is shown below:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - y-InterceptThe slope of the line can be determined by secant line formula:
m = Δy / Δx
Where:
Δx - Change in independent variable.Δy - Change in dependent variable.First, determine the slope of the line:
m = [5 - (- 3)] / [4 - (- 6)]
m = 8 / 10
m = 4 / 5
Second, determine the intercept of the line:
b = y - m · x
b = 5 - (4 / 5) · 4
b = 5 - 5
b = 0
Third, write the equation of the line:
y = (4 / 5) · x
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Find the surface area of the rectangular prism
Answer:
200 is your answer
Step-by-step explanation:
First, multiply:
8 × 5 × 4 = 160
Then, multiply:
4 × 5 × 2 = 40
Next, add them up.
160 + 40 = 200
Lastly, have a great day!
Please answer question 10 and 11 please
Answer:
d7-dx=(20x|x-3|+40)x x-3 (|x-3+2)x| x-3|
Step-by-step explanation:
Hope this helps :D
A tourism website claims travelers can see Europe for $75 a day. If a tourist saved $1,875 for a vacation, how many days can he spend in Europe?
How many pounds of almonds priced $5.35 per pound should be mixed with peanuts worth $3.75 per pound in order to obtain 20 pounds of mixture that will sell for $4.50 per pound?
10.625 pounds of peanuts mixed with almonds priced $5.35 perpound
what is a pounds?Weight is measured in pounds. 16 ounces or 0.453592 kilos make up one pound.
Let's name the weight in pounds of almonds and peanuts that we need x.
We are aware that our ultimate goal is to produce 20 pounds of the mixture, which will sell for $4.50 each pound. The mixture will therefore cost 20 * $4.50, or $90, in total.
Additionally, we are aware that peanuts cost $3.75 per pound and almonds cost $5.35 per pound.
As a result, the price of the almonds we use is 5.35x, while the price of the peanuts we use is 3.75(20 - x) = 75 - 3.75x.
We may create an equation since our goal is to produce a mixture that costs $90 in total:
5.35x + (75 - 3.75x) = 90
When we simplify this equation, we get:
1.6x + 75 = 90
75 is subtracted from both sides to produced
1.6x = 15
By multiplying both sides by 1.6, we get:
x = 9.375
To create a mixture that will sell for $4.50 per pound, we must combine around 9.375 pounds of almonds with (20 - 9.375) = 10.625 pounds of peanuts
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Combine the like terms to create an equivalent expression.
4r + 14 - r - 6 =
[tex]4r + 14 - r - 6[/tex]
Combine Like Terms:
[tex](4r-r)+(14-6)[/tex]
[tex]=\fbox{3r + 8}[/tex]
A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses 1 2/3 pounds of gravel. For each pound of gravel, he uses 2/5 pound of cement. He is making enough concrete that he needs to use 3 pounds of sand. How many pounds of cement does he use? PLEASE HELP DUE NOW !! TYYY
A. 1 pound
B. 1 4/15 pounds
C. 2 pounds
D. 2 1/15 pounds
Answer:
C
Step-by-step explanation:
1 pound sand for 1 2/3 pounds gravel.
1 pound gravel for 2/5 pound cement.
3 pounds sand = 3× 1 2/3 = 3 6/3 = 3+2 =
= 5 pounds gravel.
5 pounds gravel = 5 × 2/5 = 2 pounds of cement
What is the slope of the line represented by the equation y = 4/5 x-3
Answer:
Slope of the line would be [tex]\frac{4}{5}[/tex]
Hope this helps!
hello- need help on this :)
At a state fair, there are 10 animal exhibits, 12 gardening exhibits, and 8 farm equipment exhibits. Describe a model that you could use to simulate randomly choosing an exhibit to visit.
Answer:
10:12:8
Step-by-step explanation:
so, there are 10 animal exhibits, 12 gardening exhibits, and 8 farm equipment exhibits. so it would look like this 10:12:8
1. choices: m-n m+n. m x n
2. choices: two. one. m. n.
3. choices: one. two. zero
4.choices: one. two. zero.
5. choices: first and last. first. last. middle
The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.
Polynomial's will be in which form?Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.
When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.
1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.
2. (x -a)(x +a) = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.
3. (x -a)(x³ +x) = x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms
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Find the midpoint of the line segment with endpoints:
(9, -5/2) to (-5, -3/2)
Answer must be as a point, using integers or reduced fractions for coordinates.
Answer:
Step-by-step explanation:
Midpoint formula is x3 = (x1+x2)/2, y3=(y1+y2)/2
so x3=(9-5)/2=2, y3=(-5/2-3/2)/2=-2.
the coordinates is (2, -2).
A train traveled 250 mi in 2 hours. If it traveled at the same rate of speed how long would it take the train to travel 600 mi
4.8
Divide 250 by 2 which is 125 then do 600 divided by 125. Then your answer should be 4.8.
3) At the grocery store, the bags of oranges weigh 4 1/3 pounds. How much would 2 1/2 bags of oranges weigh?
Answer:7 7/8. pounds.
Step-by-step explanation:
Please need help ASAP, 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!
Decide whether the triangles can be proven congruent by the given postulate or theorem. If not, state what information is needed.
(1). ΔIJH ≅ ΔKHJ, by SSS criterion,
and (2) we need, ΔTNS and ΔUHS are right-triangles and S is the mid-point to prove ΔTNS ≅ ΔUHS, by HL criterion.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
We have the triangle:
ΔIJH ≅ ΔKHJ.
To prove the congruent by SSS:
We have to show that three sides of the triangle are congruent to three sides of the other triangle.
Here,
IJ ≅ KH.
IH ≅ JH, Given.
And both triangles share the same side JH.
So,
JH ≅ JH
So, ΔIJH ≅ ΔKHJ, by SSS criterion.
ΔTNS ≅ ΔUHS.
To prove the congruent by HL:
We have to show that the triangles are right-triangle and one leg and hypotenuse of the triangle is congruent to one leg and hypotenuse of the other triangle.
So, we need;
ΔTNS and ΔUHS are right-triangles.
S is the mid-point.
So,
SN ≅ SH.
ST ≅ US
So, ΔTNS ≅ ΔUHS, by HL criterion.
Therefore, ΔIJH ≅ ΔKHJ, by SSS criterion and we need;
ΔTNS and ΔUHS are right-triangles and S is the mid-point.
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Photo attached someone please help
thanks
By drawing the line x + y = 2, one of the solution to the given system of equations is (0, 2).
What is the equation of a circle?Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.From the information provided, we have the following system of equations:
x² + y² = 9 ......equation 1.
x + y = 2 .............equation 2.
Next, we would use an online graphing calculator to plot the given system of equations and then highlight (read) the point of intersection, which is the ordered pair (0, 2).
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Please helppp can’t figure this one out. Keep getting 8.1
I ALWAYS DO MY BROS WORK sO can u help him?
Answer: 10
Step-by-step explanation:
The interquartile range is the whole box but not the whiskers, so lowest number to highest number you take these two and subtract thus the answer is 10
20 - 30 = 10
What is an equation of the line that passes through the points (-3, -1) and
(-6, 3)?
Answer:
y = -3/4x -1.5
Step-by-step explanation:
-6+3 = -3
3+1 = 4
-3/4
y = -3/4x +b
3 = -3/4(-6) +b
3 = 4.5 +b
b = -1.5
y = -3/4x -1.5
Answer:
y=-4 /3x– -5
Step-by-step explanation:
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