Answer:
Step-by-step explanation:
(
4
x
)<(
15
5(5x−2)−3(7x−3)
)
(
4
x
)<(
15
25x−10−21x+9
)
(
4
x
)<(
15
4x−1
)
15x<16x−4
4<x
∴x∈(4,∞)
Solve for x.
-8 =X/4
x = −32
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Write an inequality that has the points (-2, -6) and (4, -3) on the line and (6, -4) and (2, -4) as solutions.
(use <= or >= for ≤ or ≥
symbols and write your inequality in y=mx+b form with no spaces)
inequality=
Answer in fraction form is: y ≤ (1/2)x - 5 or [tex]y \le \frac{1}{2}x-5[/tex]
Answer in decimal form is: y ≤ 0.5x - 5
You only need to pick one answer format.
========================================================
Explanation:
The drawing is below.
Let's label the four given points as A,B,C,D
A = (-2,-6)B = (4,-3)C = (6,-4)D = (2,-4)For now, let's focus on the boundary points A(-2, -6) and B(4, -3). A straight line in the form y = mx+b passes through these points. Compute the slope.
m = (y2-y1)/(x2-x1)
m = (-3 - (-6))/(4 - (-2))
m = (-3 + 6)/(4 + 2)
m = 3/6
m = 1/2
m = 0.5
Now let's use one of those (x,y) points along with that m value to find the y intercept b. I'll use the coordinates from point A.
y = mx+b
-6 = 0.5*(-2)+b
-6 = -1 + b
-6+1 = b
-5 = b
b = -5
The equation of the boundary line is y = 0.5x-5 which is the same as saying y = (1/2)x - 5 or [tex]y = \frac{1}{2}x-5[/tex]. We can refer to this as line AB.
-------------------------------
If you were to plot all four points (A,B,C,D) on the same xy grid, then you'd find that point D is on line AB. We're told that point D is a solution to the inequality, which must mean we are going to involve "or equal to" as part of the inequality sign. This will allow points on the boundary to be part of the solution set.
Notice how point C is below line AB. Since point C is also a solution, this means we go for "less than" to shade below the boundary. Overall, the sign we go for is "less than or equal to" or in short ≤
Therefore, the inequality is y ≤ 0.5x - 5
which is the same as writing y ≤ (1/2)x - 5 or [tex]y \le \frac{1}{2}x-5[/tex]
What is three minus X equals 11
Answer:
x= -8
Step-by-step explanation:
Subtract 3 from both sides to isolate the variable
Divide the variable by -1 so it can become positive; whatever you do to one side, you have to do to the other.
You'll end up with the equation of x= -8 if you do it correctly
Find the volume of the sphere. Use 3.14 for pi please help..
Answer and Explanation: The volume of the sphere is 1.44×10^6 cubic inches(to be specific, 1,436,755 cubic inches). The explanation, which is the formula for the volume of a sphere, is in the image.
Answer:
V≈1.44×106
Step-by-step explanation:
hope this helps
Pick the corrrect one form the dropdown
Answer:
hard
Step-by-step explanation:
you're correct
Translate this sentence into a equation. 70 is the product of Delilah‘s age and 5. use the variables d to represents Delilah’s age
Answer:
Step-by-step explanation:
i dont know.
solve similar triangles (advanced)
Answer:
x = 3/2
Step-by-step explanation:
ΔACB ≈ ΔAED due to hypotenuse-leg theorem
therefore, BC/BA = DE/AD
4/6 = 5/(x+6)
cross-multiply to get:
4(x+6) = 6(5)
4x + 24 = 30
4x = 6
x = 6/4 or 3/2
check:
4/6 = 5/7.5; the cross-products are both equal to 30
Which graph shows a dilation?
will give brainliest
Answer: x > − 4
Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.
(Try to solve b. and c. with only these resources and if you still need help, let me know.)
-Write a real-world situation that could be represented by the equation 12.5x + 30 = -7.5x + 90.5.
What does the variable represent?
Answer:
Imagination
Step-by-step explanation:
12.5x + 30 = -7.5x + 90.5.12.5x + 30 = -7.5x + 90.5.
20x =60.5
x = 3 1/5
The sales from a music event comes from x tickets sold, at $12.50 a ticket, plus a rental income fee of $30 for an advertising billboard behind the stage.
The cost of the performance includes a musician's fee of $7.50 per ticket sold, plus a $90.5 rental fee for the stage.
The equation will tell us the number of tickets, x, that must be sold to break even (Inclome on the left and expenses on the right).
We need to sell at least 3 1/5 tickets to break even. It's going to be close.
The equation 12.5x + 30 = -7.5x + 90.5 used to determine the point in time (number of weeks) at which their combined savings and spending will equal the cost of the trip.
The equation 12.5x + 30 = -7.5x + 90.5 could represent their financial situation.
The variable "x" represents the number of weeks they have been saving money.
The term 12.5x represents the total amount of money Friend A has saved over "x" weeks at a rate of $12.5 per week.
The term -7.5x represents the total amount of money Friend B has spent over "x" weeks at a rate of $7.5 per week (which is subtracted since it's being spent).
The constants 30 and 90.5 represent initial savings and the total funds needed for the trip, respectively.
To know more about equation here
https://brainly.com/question/29657983
#SPJ3
Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109
Terry is $120 in debt. He needs to make
$140.20 in order to pay for his college books this
semester. If he wants to pay off his debt and pay
for his college books, how much money does he need to earn?
Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is
Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7
Solve the system of linear equations by substitution
6x-9=y
y=-3x
Answer:USE SUBSTITUTION METHOD. Algebra work right here
Step-by-step explanation:
Somebody please help
m∠C = 31
m∠D = 83
M∠E = 66
Hope this is helpful!
PLEASE HELP QUESTION IN PICTURE
2a- 1-4 1/3a+ 7-a consider the linear expression what are the like terms in the expression simplify the linear expression
Answer:
2a7-1
Step-by-step explanation:
Which of the following is NOT a true statement?
pls answer i'll give brainliest
Answer:
C.) AFD measures 30°
Step-by-step explanation:
it is 150 degrees
Answer:
the answer is C
Step-by-step explanation:
A) angle EFC is 80 degrees so a is a true statement
B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement
D) angle AFB is 40 degrees and angle CFD is 50 degrees 40+50=90 so that a true statement
that leaves C and angle AFD is more than 30 degrees its 150 degrees
Kayla uses ⅙ cup of glitter for every ⅓ cup of glue to make glitter glue. Enter the number of cups of glitter Kayla uses for 1 cup of glue. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER
========================================================
Explanation:
1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.
3*(1/6) = 3/6 = 1/23*(1/3) = 3/3 = 1The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.
What is the hardest metal
if you get it right I'll give you brainliest
Answer:
is tungtset i tink not sure bout
Step-by-step explanation:
mark me brainlest plz
how many number of solutions does 3(x+1)+x+2=2(2x+1)+3 have pls help me out
Answer:
All real numbers (infinite solutions)
Step-by-step explanation:
To find the number of solutions, first, distribute and combine the like terms of the equation.
3(x+1)+x+2=2(2x+1)+3
3x+3+x+2=4x+2+3
4x+5=4x+5
Since both sides of the equation are equal, the number of solutions are infinite.
1. Nimish bought a motorcycle for ₹37,690 and sold it for ₹39,100. Find his
profit or loss.
Answer:
1410
Step-by-step explanation:
Selling Price= 39100
Buying Price= 37690
Profit= Selling Price - Buying price
=39100-37690
=1410
His profit: ₹39,100 - ₹37,690 = ₹1,410
=> [tex]\frac{1,410}{37.690}[/tex] × 100% ≈ 3.75% (than the original price)
His profit is 3.75% than the original price
ok done. Thank to me :>
[tex] \frac{5}{5x - 7} = 10[/tex]
solve the equation.
Answer:
x=1.5
Step-by-step explanation:
5=10(5x-7)0.5=5x-77.5=5xx=1.5This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
please help ASAP!
Answer:
46.28
Step-by-step explanation:
rectangle = 10×4 = 40 ft²
semicircle = 1/2×3.14×2×2 = 6.28 ft²
area of this figure is 40+6.28 = 46.28 ft²
after sales tax a 33 dollar photo album cost 35.97 dollars. What is the sales tax percentage
Answer:
9%
Step-by-step explanation:
Set up a ratio:
[tex]\frac{33}{100}[/tex] = [tex]\frac{35.97}{x}[/tex]
Cross multiply: 33x = 35.97 * 100
33x = 3597
Divide by 33: x = 109
That means the tax is 9%.
Can someone please help me with this one this is confusing to me :’) tysm!
Answer: 125 centimeters
1,250 millimeters
Step-by-step explanation:
'centi' means hundred. 100 centimeters go into a meter.
'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.
It would be appreciated if there could be an explanation along the answer
Answer:
i think probably 80°
Step-by-step explanation:
PQ = RS
2x+3 = 4x-3
x = 3
PTQ = RTS
9y-3x-1 = 5x+7y-5
2y-8x = -4
y-4x = -2
y-4(3) = -2
y-12 = -2
y = -2+12
y = 10
so PTQ = 9y-3x-1
9(10)-3(3)-1
90-9-1
80°
If the actual sale for the week is $525 and hector guessed $625, what i the percent error?
Answer:
19.0% (1dp)
Step-by-step explanation:
$625-$525=$100
$100/$525=4/21×100=19.0% (1dp)
Pls Help! Which graph A,B or C?
Answer:
Answer=C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Parallel lines hAve no solutions
Option A omittedTwo lines intersection point gives one solution only
Option B omittedOne single line denotes to infinite solutions
Option C is correct
Identify the two irrational numbers
Answer:
Your answer is in picture hope it helps
Step-by-step explanation: