Answer:
AC = 24
Step-by-step explanation:
DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...
2·DE = AC
2(2x -14) = 3x -15
4x -28 = 3x -15 . . . . . eliminate parentheses
x = 13 . . . . . . . . . . . . . add 28-3x to both sides
AC = 3x -15 = 3(13) -15
AC = 24
_____
Additional comment
DE = 2(13) -14 = 12, half the length of AC.
At camp, Miriam uses a pottery wheel to make 3 bowls in 2 hours
Duane makes 5 bowls in 3 hours.
a) Who makes bowls faster, Miriam or Duane?
b) How long will it take Miriam to make a set of 12 bowls?
c) How long will it take Duane to make a set of 12 bowls?
Answer:
Hope this helps
Step-by-step explanation:
A: Duane makes bowls faster.
B) 18 hours
C) About 19.92 hours
Definition: An event that is made up of two or more outcomes is called
Example: Rolling a 5 on a die and flipping heads on a coin.
Helppppppppppppppppppppp I need this ASAP
what are the values of each variable
Answer:
x=14
Step-by-step explanation:
2x+4=3x-10
Add 10 to both sides, leaving you with
2x+14=3x
Subtract 2x from both sides, leaving you with
x=14
A taxi service charges an initial fee plus $1.80
per mile. How far can you travel for $12
?
What information do you need in order to be able to solve the problem?
Answer:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Step-by-step explanation:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
BRAINLIEST TO WHOEVER CAN ANSWER!!!!!
Students at Taft Middle School have a goal of collecting 1,000 pounds of recycling materials each month. The following table shows their results over a 6 month time period. Complete the table.
Answer:
February: +10
March: -5
April: +50
May: -25
June: -20
Step-by-step explanation:
Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.
Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0
Answer:
a) answer is "a"
b) answer is "-2b"
c) answer is "-c"
d) answer is "3c"
Step-by-step explanation:
Absolute value is positive value of something.
a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.
b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.
c<0 same as a except sign is flipped so answer is negative instead of positive.
c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.
Sorry is explanation wasn't through i'm only in middle school
a. | a | > 0, a is greater than and less than zero.
b. | 2b | if b < 0, b is not less than zero not greater than zero.
c. | c | if c < 0, c is not less than zero not greater than zero.
d. | 3c | if c ≥ 0, c is greater than zero and less than zero.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given,
| a | > 0
∴ a is greater than and less than zero.
| 2b | if b < 0
b is not less than zero not greater than zero.
| c | if c < 0
c is not less than zero not greater than zero.
| 3c | if c ≥ 0.
c is greater than zero and less than zero.
learn more about modulus functions here :
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an item is regularly priced at $20. It is on sale for 70% off the regular price. What is the sale price?
Answer:
6 dollars
Step-by-step explanation:
Hope this helps. :))
which is bigger 11/18 or 5/14
Among the fractions given in this question 11/18 and 5/14, the largest fraction is: 3/5.
Step-by-step explanation:To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.
Resolution:[tex]\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111[/tex]
[tex]\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714[/tex]
Conclusion:We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.
what is 90 plus 60 plus 7x-12
[tex]90+60+ 7x -12 = 7x+138[/tex]
-5+5(x-7)=-40+5x solve for x
Answer: all real numbers
Step-by-step explanation:
hi! can someone please help me with these i’m confused on how to answer it
Answer:
Step-by-step explanation:
evaluate 1000 x 1.2
help asap!!
Answer:
1200
hello i love to help
I don’t know how to do this…
Step-by-step explanation:
f^-1 means the inverse function that finds the x responsible for the creation of a given y (functional result) value.
y = 3x - 1
3x = y + 1
x = 1/3(y + 1)
and now we rename x to y and y to x, so that we get a normal function definition :
y = 1/3(x + 1) = (1/3)x + 1/3
now we create the first derivative d/dx of this function :
y' = 1/3
since both f(x) and f^‐1(x) are line functions with a constant slope, it is not surprising that the first derivative (the function of the slope of the base function) is a constant function.
so, for any value of x (incl. the requested x = 11) d/dx f^-1(x) = 1/3.
therefore also d/dx f^-1(11) = 1/3.
y = 2×sqrt(x)
sqrt(x) = y/2
x = y²/4
again we rename the variables, so that we get a normal function definition for the inverse function :
y = x²/4
the first derivative is :
y' = 2x/4 = x/2
so, d/dx f^-1(6) = 6/2 = 3
Use the inverse function theorem: if f(x) is continuously differentiable at x = a, and given f(a) = b, then f is invertible around x = a, and
[tex]\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}[/tex]
Both the given functions f(x) meet the conditions above. Note that you don't need to actually compute the inverse function itself.
If f(x) = 3x - 1, then f(x) = 11 when
3x - 1 = 11 ⇒ 3x = 12 ⇒ x = 4
Now if f(4) = 11, it follows from the inverse function theorem that
[tex]\left(f^{-1}\right)'(11) = \dfrac1{f'(4)} = \boxed{\dfrac13}[/tex]
since f'(x) = 3.
If f(x) = 2√x, then f(x) = 6 when
2√x = 6 ⇒ √x = 3 ⇒ x = ±9
But note that f(x) is defined only for x ≥ 0, so we must take x = 9. Now if f(9) = 6, the inverse function theorem says
[tex]\left(f^{-1}\right)'(6) = \dfrac1{f'(9)} = \dfrac1{\frac1{\sqrt9}} = \boxed{3}[/tex]
since f'(x) = 1/√x.
Surds[tex]5\sqrt[3]{24}-\sqrt[3]{192}[/tex]
Answer:
6∛3
Step-by-step explanation:
[tex]\displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}[/tex]
_____
The cubes under each radical can be brought out. Coefficients of like radicals can be combined.
Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.
The sum of 6 and x is less than or equal to - 20.
Answer: (6+x) ≤ -20
Work out the equation of
the line that goes through
(3, 2) and (-1, 10)
Answer:
[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]
Step-by-step explanation:
Let, A=(3,2)
B=(-1,10)
So, The equation will be
[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Answer:
y = - 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )
m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2 )
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of line
Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.
Answer:
7/21=3/9
Step-by-step explanation:
7/21=3/9=1/3 - Ratios are basically the same as fractions
Answer:
[tex] \\ 7 \ratio21 = 3 \ratio9[/tex]
[tex] \\ \frac{7}{21} = \frac{3}{9} [/tex]
Josh works in a balloon store he will put 45 balloons into bunches he must use the same number of balloons in each bunch the number of balloons in each bunch must be greater than one and less than 10 how many balloons could be in each bunch what I wrote was 357 balloons is that wrong or right?
Answer: 5 or 9
Find the factors of the number 45.
1, 5, 9, 15
The numbers must be greater than 1 and less than 10.
Now, we must take 5 and 9.
5 x 9 = 45
9 x 5 = 45
The answers are 5 & 9.
Step-by-step explanation:
Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment AB¯¯¯¯¯ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)
Answer:
A. (8 2/5, 8 2/5)
Step-by-step explanation:
You want to find point P such that ...
AP : PB = 2 : 3
3AP = 2PB . . . . . . . . cross multiply
3(P -A) = 2(B -P) . . . recognize length XY = Y - X
5P = 3A +2B . . . . . collect P terms
P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5
P = (8 2/5, 8 2/5) . . . . matches choice A
Is y= - 4x + 1 proportional
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.
Hope this helps :)
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.
Step-by-step explanation:
Yw
can someone please help
E, C, F are the answers.
Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 46 coins consisting of pennies dimes and quarters. The number of pennies is equal to the number of dimes and the total value is $4.09. How many of each denomination of coin does he have?
We must write and solve a system of equations to see how many of each type of coin Carlos has.
The answer is:
There are 19 pennies.There are 19 dimes.There are 8 quarters.We start by defining the variables:
x = number of pennies in the box.y = number of dimes in the box.z = number of quarters in the box.We know there are 46 coins in total, thus:
x + y + z= 46
The number of pennies and dimes is the same, thus:
x = y
The total value of the coins in the box is $4.09, then:
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
So we can write the system of equations:
x + y + z= 46
x = y
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
First, we can replace x by y in the first and third equations (by using the second one) to get:
2y + z = 46
y*$0.11 + z*$0.25 = $4.09
Now we can isolate z in the first equation to get:
z = 46 - 2y
And replace that in the other equation:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
Now we can solve the equation for y:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
y*$0.11 + $11.50 - y*$0.50 = $4.09
y*($0.11 - $0.50) = $4.09 - $11.50
y*(-$0.39) = -$7.41
y = (-$7.41)/(-$0.39) = 19
if y = 19, then x = 19
By using the first equation:
x + y + z = 46
19 + 19 + z = 46
z = 46 - 19 - 19 = 8
We can conclude that:
There are 19 pennies.There are 19 dimes.There are 8 quarters.If you want to learn more about systems of equations, you can read:
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I just need someone to explain this to me.
Answer:
23.6
Step-by-step explanation:
Answer:
23.6 is the correct answer
Chance has hired a construction crew to renovate his kitchen. They charge $3.57 per square foot for materials and $122.22 per day
of labor. Chance spent $3,411.87 on the renovation. If the number of square feet is 251 more than the number of days it took for the
renovation, how long did the renovation take?
A jacket usually sells for $68.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?
Answer:
$ 43.25
Step-by-step explanation:
68 - 40% = 40.8
40.8 + 6% = $ 43.25
I’ll give brainliest and thanks and 5 stars
Solve for c and d.
Answer:
c = 58, d = 50
Step-by-step explanation:
c = 180 - 50 - 72 = 58
d = 180 - 72 - 58 = 50
Answer:
C = 58
D = 50
Step-by-step explanation:
C is 58 as all angles on a straight line add up to 180 degrees
D is 50 as all angles within a triangle add up to 180 degrees
(72+58 = 130, 180-130 = 50)
If C = C(q) is a firm's total cost function, the quantity epsilon_{c} = q/C * (dC)/(dq) is called the elasticity of cost at the output q . Discuss the relationship between marginal cost and average cost for the intervals of being higher and lower than 1 (15 points). epsilon_{c}
Answer:
the answer is 5,746 = c
Step-by-step explanation:
how many significant figures are in the number 0.3368?
Answer:
4 significant figures are in the number 0.3368
Help please anyone!!!!!!
Answer:
[tex]\huge\boxed{D)\frac{3p}{p-3} }[/tex]
Step-by-step explanation:
The first thing that can help you here is factoring every term.
[tex]p^2-4p-12[/tex]
Factor.
[tex](p-6)(p+2)[/tex]
[tex]6p+12[/tex]
Factor.
[tex]6(p+2)[/tex]
18p
Factor, keeping in mind the denominator of the other term.
[tex]6(3p)[/tex]
[tex]p^2-9p+18[/tex]
Factor.
[tex](p-6)(p-3)[/tex]
Now you have simplified your original problem:
[tex]\frac{p^2-4p-12}{6p+12} *\frac{18p}{p^2-9p+18}[/tex]
into:
[tex]\frac{(p-6)(p+2)}{6(p+2)} *\frac{6(3p)}{(p-6)(p-3)}[/tex]
Now, after multiplying the numerator and denominator of the fractions:
[tex]\frac{(p-6)(p+2)(6)(3p)}{(6)(p+2)(p-6)(p-3)}[/tex]
Then, you can simplify the fraction by cancelling terms:
[tex]\frac{3p}{p-3}[/tex]
Hope it helps :) and let me know if you want me to elaborate.