9514 1404 393
Answer:
subtractionmultiplicationcombine like termsStep-by-step explanation:
The properties of equality say the value of the variable does not change if the same function is performed on both sides of the equal sign.
a) 4x +7 = 19 ⇒ 4x = 12
The value -7 was added to both sides. Equivalently, 7 was subtracted from both sides. The Subtraction Property of Equality was used.
__
b) 2x/3 = 8 ⇒ 2x = 24
Both sides were multiplied by 3. The Multiplication Property of Equality was used.
__
c) 5x -6 +2x = 22 ⇒ 7x -6 = 22
Terms 5x and 2x were combined and written as 7x. We call this Combine Like Terms.
Mary plants roseas in 1/4 of her garden. She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. What fraction of Mary's garden has tulips?
Let x represent the full area if Mary's garden.
Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4
She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12
The portion of the garden on which she planted tulips would be
x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12
x - x/3 = (3x - x)/3 = 2x/3
Therefore, the fraction of Mary's garden that has tulips would be
(2x/3) /x = 2/3
[50 POINT QUESTION]
FInd the area of the trapezoids.
Answer:
7.5
Step-by-step explanation:
Take the figure apart to make one rectangle and 2 triangles.
the rectangle with the endpoint T has a width of 3 and a height of 1.
The Area for the rectangle is A = wl = 3 * 1 = 3
The first, smaller triangle with points R and A has a height of 3 and a base of 1.
The Area for the triangle is A = h b/2 = 3 * 1/2 = 1.5
The large triangle with points T and P has a height of 3 and a base of 2.
Using the same formula for the Area of a triangle you get 3
Now add all areas together
3+1.5+3 = 7.5
Use the graph below to determine the equation of the circle in a center radius form and a general form
Simplify the radical completely.
Answer:
D
Step-by-step explanation:
But basically, one by one you try moving the terms out of the radical.
75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.
x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.
y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.
Finally, z is just z it can't be taken out so it stays inside the radical.
Hope that helps!
A machine cuts dry wall screws with specifications such that the length of each screw is 1.25 inches with an allowable margin of error of 0.02 inches. Use this information to complete each statement.
Answer:
[tex](a)\ x = 1.25 \± 0.02[/tex]
[tex](b)[/tex]
[tex]Minimum = 1.23in[/tex]
[tex]Maximum = 1.27in[/tex]
Step-by-step explanation:
Given
[tex]L = 1.25in[/tex] --- Length
[tex]E=0.02in[/tex] -- Margin of error
Solving (a): The equation of the length
This is calculated as:
[tex]x = L \± E[/tex]
So, we have:
[tex]x = 1.25 \± 0.02[/tex]
Solving (b): The range of value of x
In (a), we have:
[tex]x = 1.25 \± 0.02[/tex]
Split:
[tex]x = 1.25 - 0.02[/tex] [tex]x = 1.25 + 0.02[/tex]
Solve for x
[tex]x = 1.23[/tex] [tex]x = 1.27[/tex]
So, we have:
[tex]Minimum = 1.23in[/tex]
[tex]Maximum = 1.27in[/tex]
What is the range and domain of the set? :R: {(−11, 16), (17, 23), (2, -13), (7, 4), (-7, −21)}
Step-by-step explanation:
the range is the biggest number subtracted by the smallest 23-(-11)= 34
Please help me quickly, thank you
Step-by-step explanation:
P = 5x+2y
P = 5(3)+2(5) = 15+10 = 25 meters
x = 3/25 ×32 = 96/25 = 3.84 meters
y = 5/25 × 32 = 6.4 meters
P = 5x+2y
P = 5(3)+2(5) = 15+10 = 25 meters
x = 3/25 ×32 = 96/25 = 3.84 meters
y = 5/25 × 32 = 6.4 meters
Express it in slope-intercept form.
Answer:
y = 1/4x - 4
Step-by-step explanation:
The slope is four points behind the origin, so we subtract -4 from the equation:
y = 1/4x - 4
use two points on the line to find the slope:
(0,-4) (4,2)
Slope = change in y over change in x
Slope = (2 - -4) / (4-0) = 6/4 = 3/2
Y-intercept is the y value when x is 0, the line goes through y=2 at x = 0, so the t intercept is 2
The equation is:
Y = 3/2x + 2
Marcia sells lemonade for $2 per cup and candy for $1.50 per candy bar. She earns $425 selling lemonade and candy bars. If Marcia sold 90 bars of candy, which equation could be used to figure out how many cups of lemonade she sold?
Answer:
145 cups of lemonade; 2x+1.50y=425, where y=90
Step-by-step explanation:
Let us first set up an equation, where x represents number of cups of lemonande, and y represents number of candy bars. We know that every cup of lemonade costs $2, every candy bar sold costs $1.50, and that Marcia sold a total of $425. We now have equation:
[tex]2x+1.50y=425[/tex]
However, we actually know how many candy bars Marcia sold. Therefore, our y value is 90. Let's rewrite the equation:
[tex]2x+1.50*90=425\\2x+135=425\\2x=290\\x=145[/tex]
Therefore, Marcia sold 145 cups of lemonade.
I hope this helps! Let me know if you have any questions :)
PLEASE HELP ASAP PLSSSSS !!!
Answer:
133 answer ---------------------------------------- helpful answer
which expression is equivalent to 4 to the 4th power * 4 to the negative 9th power
Answer:
[tex]4^{13}[/tex]
Step-by-step explanation:
[tex]4^{13}[/tex]
Hope this helps!
I’ll mark brainliest
Answer:
D
Step-by-step explanation:
Hi there!
We're given the equation y=-75x-50, which represents a submarine DESCENDING towards the ocean floor, where y is the depth in feet, and x is the number of minutes the submarine is descending
Since the submarine is DESCENDING, we can immediately eliminate A and C, which talk about the submarine ASCENDING
That leaves B and D
Looking at the given equation, y=-75x-50, -75 is the slope, or rate of change, and -50 is the y intercept, or the "beginning" (where the equation will "start")
Therefore, the submarine will start at -50 feet, or 50 feet below sea level
As x is the number of minutes the submarine is descending, that means that if the submarine travels 1 minute, it will descend 75 feet (-75*1=-75), at 2 minutes, it'll descend 150 feet (-75*2=-150), and so on
So that means the submarine must be descending at a rate of 75 feet per minute
Therefore D is the correct answer
Hope this helps! Good luck on your assignment :)
convert 6 miles to meters
Answer:
9656.06 meters
Step-by-step explanation:
The sum of two numbers is zero. When 10 times the smaller number is added to 6 times the larger, the result is 3. Find the two numbers.
Answer:
3/4 and -3/4
or
0.75 and -0.75
but there is no solution for
10 times the smaller number added to 6 times the larger number to get 3 as result.
the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).
therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).
it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.
Step-by-step explanation:
x + y = 0
10×x + 6×y = 3
=>
x = -y
10×(-y) + 6×y = 3
-10y + 6y = 3
-4y = 3
y = -3/4
=>
x = -y = -(-3/4) = 3/4
control :
10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3
12/4 = 3
3 = 3
correct
Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (70)x = 1, what are the possible values of x? Explain your answer. (5 points)
Can you Help Me I NEED ANSWER ASAP!!!
Answer:
see below
Step-by-step explanation:
Part A: (72)^x = 1
Take the log base 72 of each side
log72(72^x) = log 72(1)
We know log a^b = b log a
x log72(72) = log72(1)
x = log72(1)
x = 0
Part A: (70)^x = 1
Take the log base 70 of each side
log70(70^x) = log70(1)
We know log a^b = b log a
x log70(70) = log70(1)
x = log70(1)
x = 0
If quadrilateral A’B’C’D’ = DK (ABCD), which of the following statements are true?
Select all that apply. (Hint: Draw a picture)
The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
The quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1.
The corresponding side lengths are related by AB = k(A'B')
The corresponding side lengths are related by k(CB) = C'B'.
Answer:
The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
The corresponding side lengths are related by k(CB) = C'B'.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, the figure is increased, if k < 1, the figure is reduced and if k = 1, the figure does not changes shape. The image of an dilated figure is similar to the original image.
a) If k = 1, then the resulting image produced by dilating ABCD is congruent. Hence, The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.
b) Dilation produce image similar to the original figure, hence quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1 and k < 1.
c) Since ABCD is dilated by a factor of k to produce A'B'C'D', hence A'B' = k(AB).
d) C'B' = k(CB)
Please help! 10 points!
What is the probability that a data value in a normal distribution is between a z-score of -0.18 and a z-score of 1.23? Round your answer to the nearest tenth of a percent. O A. 65.0% B. 55.3% C. 46.2% D. 84.3% SUBMIT
Answer:
C
Step-by-step explanation:
Zscore = - 0.18 ; Z = 1.23
To find the percentage :
P(Z< 1.23) - P(Z < - 0.18)
Using the Z probability calculator :
P(Z < - 0.18) = 0.42858
P(Z < 1.23) = 0.89065
0.89065 - 0.42858
= 0.46207
= 46.2%
determine the value of a x1-3x3=-3 and 2x1+ax2-x3=-2 has no solution
Answer:
Step-by-step explanation:has no solution
2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129
Q3:
Median:
IQR:
QI:
Outliers:
Answer:
51
Step-by-step explanation:
ascending order. 38,41,42,47,48,51,72,74,74,77,129. n/2= 12/2= 6 +1= 7 median 51
Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days. In how many days can
all three of them achieve the sales target together?
Answer:all three of them achieve the sales target together in 120 days.
Step-by-step explanation:
Given: Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days.
Then, the number of days taken by all of them to achieve the sales target together = [tex]\dfrac1{30}+\dfrac{1}{40}+\dfrac{1}{60}[/tex]
[tex]=\dfrac{1}{120}[/tex] [LCM(30,40,60)=120]
Thus, all three of them achieve the sales target together in 120 days.
which statement is true?
Austin was budgeted $ 825 to spend on chairs for his upcoming event. If each chair costs $ 15 , how many chairs can he purchase?
Answer:
55 chairs
Step-by-step explanation:
825/15=55
HELP ME ON THIS I HAVE MORE.
Answer:
The answer is 5 units.
Step-by-step explanation:
I just counted the squares
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
2/3
Step-by-step explanation:
Gradient of line
= (y1-y2) /(x1-x2)
= (3-(-1))/(4-(-2))
= (3+1)/(4+2)
= 4/6
= 2/3
A chain weighs 10 pounds per foot. How many ounces will 3 inches weigh?
Answer:
40 ounces
Step-by-step explanation:
One foot = 12 inches
3 inches is 1/4 of a foot
Divide 10 pounds by 4 to get 2.5 pounds
Convert to ounces
Find the volume of the composite figure.
Hello please help me solve this inequality shown in the graph, thank you so much!
Simplify the expression
[tex](x + 7)( x - 2)[/tex]
Answer:
x²+5x-14
Step-by-step explanation:
For this equation, you want to use FOIL (multiply first terms, then outside terms, then inside terms, then last terms) to expand the brackets.
This gives x×x+x×-2+x×7+7×-2, which simplifies to x²-2x+7x-14, and further to x²+5x-14.
**This content involves expanding quadratics with FOIL, which you may wish to revise. I'm always happy to help!
why mathematical induction is used ?(write a 100 words paragraph)
Answer:
Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers ( non-negitive integers). The simplest and most common form of mathematical induction proves that a statement involving a natural number that holds for all values.
Find the surface area of the regular pyramid.