Answer:
x = -3
Step-by-step explanation:
If the equation is correctly written as 15·x = -27 + 6·x
Then we have;
15·x = -27 + 6·x
We subtract 6·x from both sides to have all the variables (x) on one side as follows;
15·x - 6·x= -27 + 6·x - 6·x
Which gives;
x·(15 - 6) = -27 + x·(6 - 6)
We note that 6 - 6 = 0, therefore, we have;
x × 9 = -27 + x × 0
We not that x × 0 = 0, therefore;
x × 9 = -27
We now divide both sides with the 9 to get the value of x alone as follows;
x×9/9 = -27/9
Which gives;
x = -27/9 = -3
x = -3
Myra wants to practice the piano for at least 22 minutes each day. Which of the following inequalities represents the number of minutes Myra will practice piano?
Answer:
[tex]x\geq 22[/tex]
Step-by-step explanation:
If someone wants to practice for at least 22 minutes a day, they want to practice 22 minutes or more. This is the same as greater than or equal to, and we want the minutes practices to be greater than or equal to 22. We can assume minutes practiced is x, and create the inequality [tex]x\geq 22[/tex].
Hope this helped!
Properties and characteristics of sum and difference of two cubes.
Answer:
The properties and characteristics of the sum of two cubes
1) In the sum of two cubes, the middle sign of the binomial factor on the right hand side of the equation is positive
2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the sum of two cubes
The properties and characteristics of the difference of two cubes
1) In the difference of two cubes, the middle sign of the binomial factor on the right hand side of the equation is always negative
2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the difference of two cubes
Step-by-step explanation:
The sum and difference of two cubes are;
a³ + b³, and a³ - b³
Factorizing the expressions for the sum and difference of two cubes can be shown as follows;
Sum of two cubes; a³ + b³ = (a + b) × (a² - a·b + b²)
Difference of two cubes; a³ - b³ = (a - b) × (a² + a·b + b²).
A ball is thrown vertically upward from the ground with an initial velocity of 111 ft/sec. Use the quadratic function h(t) = −16t2 + 111t + 0 to find how long it will take for the ball to reach its maximum height (in seconds), and then find the maximum height (in feet). (Round your answers to the nearest tenth.)
Answer:
t=3.5 seconds
Step-by-step explanation:
Given
h(t) = −16t^2 + 111t + 0
h'(t)= -32t + 111
Maximum height occurs when h(t) = 0 and the ball begins to fall
h(t)= -32t + 111=0
-32t + 111=0
-32t=-111
Divide both sides by -32
t=3.46872
Approximately, t=3.5 seconds
Recall,
Maximum height occurs when h(t) = 0
h(t)= -32t + 111=0
= -32(3.46872)+111
= -110.99904+111
= 0.00096 ft
Show by shading , the region in a Venn diagram represented by the set notations I)(AUB) NC ii) AU ( BNC)
See the diagram, and tell me if it's clear
Simplify to create an equivalent expression. −3(2+4k)+7(2k−1)
Answer:
[tex]\huge\boxed{2k-13}[/tex]
Step-by-step explanation:
[tex]\sf -3(2+4k)+7(2k-1)\\Expanding \ brackets\\-6-12k+14k-7\\Combining \ like \ terms\\-12k+14k-6-7\\2k -13[/tex]
Evaluate the expression 5^-2
Answer:
[tex]\boxed{\frac{1}{25} \text { OR } 0.04}}[/tex]
Step-by-step explanation:
[tex]5^{-2}\\\\\text {Apply Negative Exponent Rule: } a^{-b}=\frac{1}{a^b}\\\\5^{-2}=\frac{1}{5^2}=\boxed{{\frac{1}{25}} \text { OR } 0.04}[/tex]
Please help! I’m this figure, which angles are congruent? Find the measure of all the angles if m< 2= 76 degrees
Problem 1.
Yes it is true that vertical angles are congruent, but that's not what your teacher is asking. Instead, your teacher is asking basically how the term "congruent" is defined.
Two segments are congruent if they are the same length. Two angles are congruent if they are the same measure. Two triangles are congruent if they have the same angles and sides.
So in short, "congruent" just means "same". You can think of having mirror copies.
==========================================
Problem 2.
Angles 2 and 4 are one pair of vertical angles. They are opposite one another in this X shape formed by the two lines. The other pair of vertical angles are angle 1 and angle 3.
Angle 2 is given to be 76 degrees, so this means angle 4 is this measure as well.
Angle 1 = 180 - (angle 2) = 180 - 76 = 104, which is also the measure of angle 3 as well. I'm using the idea that the adjacent angles form a straight angle. This is known as a linear pair (ie the angles form a straight line).
==========================================
Problem 3.
If all three angles are the same (all 60 degrees), then we have an equilateral triangle. We could say it's equiangular, but it's also equilateral as well meaning all 3 sides are the same length. "equi" means "equal", "angular" means what you'd expect, and "lateral" means "side".
If only two angles are equal with the third one different, then we have an isosceles triangle. An isosceles triangle is one where only two sides are the same length.
If none of the angles are the same, then we have a scalene triangle. As you probably expect, none of the sides are the same length with a scalene triangle.
----
If all three angles are less than 90 degrees, then the triangle is acute
If one angle is 90 degrees, then we have a right triangle
If one angle is over 90 degrees (but less than 180), then the triangle is obtuse
---
Often you'll see the terms of the previous two sections combined. For instance, we could have an isosceles right triangle. Or we might have an obtuse scalene triangle. Any equilateral triangle is acute (as all three angles are less than 90).
To solve this problem we have to understand what congruent angles are and then find the angles that are congruent to one other in this given question.
What are Congruent Angles?Congruent angles are angles that are equal to one another and in the given question, we were given m<2 = 76 degrees.
Data;
m<2 = 76 degreesIf we look critically at the angles, we can use opposite angle theorem here to predict angles that are congruent to another here.
angles 2 and angle 4 are congruent to one another while angle 1 and angle 3 are congruent to one another.
This implies that
m<2 = 76°m<4 = 76°Let's solve for other angles.
But the some of angles at a point is equal to 360°
Applying that theorem here,
[tex]m > 1=x\\m > 2 = 72^0\\m > 3 = x\\m > 4 = 72^0[/tex]
Let's substitute the values and solve.
[tex]x+ x + 72+72 = 360\\2x + 144 = 360\\2x = 360 - 144\\2x = 216\\x = \frac{216}{2} \\x = 108^0[/tex]
This can be further summarized as
m<1 = 108°m<2 = 72°m<3 = 108°m<4 = 72°Learn more on corresponding angles here;
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divide this decimals 5.2 divided 4
Answer:
1.3
Step-by-step explanation:
5.2/4 = 1.3
To check, 1.3 multiplied by four is 5.2.
Answer:
It’s 1.3
Step-by-step explanation:
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A pyramid has a square base that measures 10 feet on a side. The height of each face is five feet. What is the surface area of the pyramid?
Answer:
[tex]\boxed{\sf 200 \ feet^2}[/tex]
Step-by-step explanation:
The 3D shape is a square-based pyramid.
The surface area of a square-based pyramid is given as:
[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]
Plug in the values.
[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]
[tex]\sf SA=100 + 100[/tex]
[tex]\sf SA=200[/tex]
Paul travels from Rye to Eston at an average speed of 90 km/h He travels for T hours.
Mary makes the same journey at an average speed of 70 km/h She travels for 1 hour longer than Paul.
Work out the value of T .
Answer:
3.5 hours
Step-by-step explanation:
Paul:
Speed = 90 km/hTime= T hoursDistance = 90T kmMary:
Speed = 70 km/hTime = T + 1 hoursDistance = 70(T+1) kmSince the distance is same, we have:
90T = 70(T+1)90T= 70T + 7090T - 70T = 7020T= 70T= 70/20T= 3.5 hoursAnswer: Paul's travel took 3.5 hours
Solve each system of equation for 3y+x=3 and -2y+5x=15
Answer:
x = 3 and y = 0
Step-by-step explanation:
3y+x=3
-2y+5x=15
Isolate y in 3y + x = 3 :
[tex]y=[/tex] [tex]\frac{3-x}{3}[/tex]
Substitute [tex]y = \frac{3-x}{3}[/tex] in -2y + 5x = 15 :
[tex]-2 * \frac{3-x}{3} + 5x = 15[/tex]
Simplify the equation :
[tex]\frac{-6+17x}{3} =15[/tex]
Isolate x in [tex]\frac{-6 + 17x}{3} = 15[/tex] :
Proving x = 3
Isolate y in [tex]y = \frac{3-3}{3}[/tex] :
Proving y = 0
Your solved system of equations are x being 3, and y being 0.
Convert 75 miles per hour to feet per second
Answer:
110 feet per second
Step-by-step explanation:
You would mutiply your speed in miles per hour by 5,280. That's the number of feet in a mile and your result is your speed in feet per hour.
75 x 5,280 = 396,000 feet per hour
Then you would divide your speed by 60 and that result is your speed in feet per minute.
396,000 / 60 = 6,600 feet per minute
Lastly, you would divide that speed by 60 and the result is your speed in feet per second.
6,600 / 60 = 110 feet per second
The conversion of 75 miles per hour to feet per second is approximately 110 feet per second.
How do we convert units from miles per hour to feet per second?We can do this by using conversion factors that relate the two units. Specifically, we can use the fact that 1 mile equals 5,280 feet and 1 hour equals 3,600 seconds.
To convert miles per hour to feet per second, we need to multiply the value in miles per hour by a conversion factor that will cancel out the "miles" unit and replace it with "feet," and another conversion factor that will cancel out the "hours" unit and replace it with "seconds."
So, first we convert miles per hour to feet per hour by multiplying 75 miles/hour by 5,280 feet/mile.
This gives us:
= 75 miles/hour x 5,280 feet/mile
= 396,000 feet/hour
Next, we convert feet per hour to feet per second by dividing by 3,600 seconds/hour.
This gives us:
=396,000 feet/hour ÷ 3,600 seconds/hour
= 110 feet/second
Therefore, 75 miles per hour is approximately equal to 110 feet per second.
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In which direction must the graph of Ax) = x be shifted to produce the graph of g(x) = f(x) - 4?
ОА. up
OB. down
O c. left and down
OD. right and up
Answer: B. down
Step-by-step explanation:
Translation rules:
For a function h(x):
h(x+c) is a left-shift by c units.h(x-c) is a right-shift by c units.h(x)+c is a up-shift by c units.h(x)-c is a down-shift by c units.Here, the graph of f(x) becomes the graph of g(x) =f(x)-4 which is similar to "h(x)-c".
That means , f(x) is shifted 4 units down to become g(x).
So, correct option : B. down
whats a negative times a positive times a negative?
Answer:
Positive
Step-by-step explanation:
negative times negative is postive positive times negative is negative
Answer:
A positive.
Step-by-step explanation:
Let's replace these with numbers.
-1 · 2 · (-3)
A negative times a positive will always equal a negative. So, we have:
-2 · (-3)
Any numbers with the same sign (positive or negative) multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.
6
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Answer:
x=20
<B=150°
Step-by-step explanation:
Opposite Interior Angles
8x-10=3x+90
8x-3x=90+10
5x=100
x=20
<B=3x+90
=3(20)+90
=60+90=150
Answer:
x=20
<B = 150
Step-by-step explanation:
The angles are alternate interior angles and when the lines are parallel, alternate interior angles are equal
8x-10 = 3x+90
Subtract 3x from each side
8x-10 -3x = 3x+90-3x
5x-10 = 90
Add 10 to each side
5x-10 +10 = 90+10
5x = 100
Divide by 5
5x/5 = 100/5
x = 20
<B = 3x+90
= 3*20 +90
= 60+90
= 150
Please answer this question now
Answer:
1306.24 cm².
Step-by-step explanation:
From the diagram given above, we obtained the following information:
Radius (r) = 13 cm
Pi (π) = 3.14
Slant height (l) = 19 cm
Surface Area (SA) =.?
The surface area of the cone can be obtained as follow:
SA = πr² + πrl
SA = πr ( r + l)
SA = 3.14 × 13 ( 13 + 19)
SA = 40.82 (32)
SA= 1306.24 cm²
Therefore, the surface area of the cone is 1306.24 cm².
(2x^0y^2)^-3 multiply 2yx^3
Answer:
[tex]\frac{x^{3} }{4y^{5} }[/tex]
Step-by-step explanation:
Simplifica la expresión
Derek bought cloth for $800. He spent $200 for stitching a shirt. He sold the shirt for $1175. Find the profit.
Answer:
$ 175
Step-by-step explanation:
cost to make the shirt = the price of cloth+stitching expenses
C=800+200
C=1000 dollars
Profit that Derek made : selling price-expenses
P=1175-1000
p=175 dollars
Find the constant $p$ such that $x^2 - 5x + p$ is the square of a binomial.
Answer:
[tex]p = \frac{25}{4}[/tex]
Step-by-step explanation:
Given
[tex]x\² - 5x + p[/tex]
Required
Find p, such that the expression is a perfect square
Write out the coefficient of x
Coefficient = -5
Next step is to divide the coefficient of x by 2
[tex]Result = \½(-5)[/tex]
Take the square of the above expression to give p
[tex]p = (\½(-5))\²[/tex]
[tex]p = (\½(-5) * (\½(-5)[/tex]
[tex]p = \½ * \½ * (-5) * (-5)[/tex]
[tex]p = \¼(25)[/tex]
[tex]p = \frac{25}{4}[/tex]
Substitute 25/4 for p in the given expression
[tex]x\² - 5x + p[/tex] becomes
[tex]x\² -5x + \frac{25}{4}[/tex]
Expand the above expression
[tex]x\² - \frac{5x}{2} - \frac{5x}{2} + \frac{25}{4}[/tex]
Factorize
[tex]x(x - \frac{5}{2}) - \frac{5}{2}(x - \frac{5}{2})[/tex]
[tex](x - \frac{5}{2})(x - \frac{5}{2})[/tex]
[tex](x - \frac{5}{2})\²[/tex]
Hence, the value of p is [tex]p = \frac{25}{4}[/tex]
I REALLY NEED HELP PLEASE HELP ME :(
Answer:
I may be wrong but I think 8 is your answer.
Step-by-step explanation:
(-1)^(3/7) x 128^(3/7)
-1 x 128^3/7
128^(3/7) = 8
= 8
A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?
40 pigs.
Step-by-step explanation:p=pigs c=chickens.
4p=pigs have 4 legs.
2c=chickens have 2 legs.
4p+2c=200
p+c=60
Do the elimination method:4p+2c=200
(-4)p+c=60
4p+2c=200
-4p-4c=-240
-2c=-40
c=20
p+20=60
p=60-20
p=40
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How do I find DG. A. 3 B. -7 c. 16 d. 13
Answer:
x = -7
Step-by-step explanation:
DE + EF + FG = DG
2x+17 + 8+2 = x+20
Combine like terms
2x+ 27 = x+20
Subtract x from each side
2x+27-x = x+20-x
x+27 = 20
Subtract 27 from each side
x+27-27 = 20-27
x = -7
evaluwate 5(14-2to the third power)+8/2
Answer:
216,004
Step-by-step explanation:
so 5(14-2)third power + 8/2,
that would be
5(12)third power + 8/2
(60) third power + 4
216,000 + 4
Rewrite the following equation in standard form.
y = -7x - 1
Standard form is written Ax + By = C where A, B, and C are all integers.
In other words, no fractions.
Also, the A or the coefficient of the x term must be positive.
The only thing we need to do is add 7x to both sides to get 7x + y = -1.
So 7x + y = -1 is our answer.
Answer: 7x+y=-1
Step-by-step explanation:
Add 7x to both sides
A relative frequency table is made from data in a frequency table. Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes S, T, total. The second column is labeled U with entries 26%, 21%, 47%. The third column is labeled V with entries 42%, k, 53%. The fourth column is labeled total with entries 68%, 32%, 100%. What is the value of k in the relative frequency table? Round the answer to the nearest percent.
Answer:
Hey There. ☆~<___`£《》£`____>~☆ The correct answer is: 33% okay if you don't understand this. Just tell me Okay. k=11 And, let me know if you don't understand how I got this. So, I'm gonna write it out
U V total
S 26 42 68
T 21 k 32
Total 47 53 100
So, you want to look at the column and row labeled total, this is the key. for the row total, it sums up everything in the column above it. so for the u column, the total value is 47 while the two values above it are 26 and 21. These two values sum to 47. This is the same for all other columns, and you can use the same reasoning with the total column as well summing rows.
This gives you two ways to solve for k. either 21 + k = 32 or 42 + k = 53. Either way gets you the answer k = 11
Hope It Helps!~ ♡
ItsNobody~
Answer:
The answer is B
Step-by-step explanation:
Select the equation written in slope-intercept form that corresponds to the given slope and y-intercept. m=6 b=-2
Answer:
y = 6x - 2
Step-by-step explanation:
slope-intercept form: y = mx + b
Note that:
m = slope = 6
b = y-intercept = -2
x = (x , y)
y = (x , y)
Plug in the corresponding numbers to the corresponding variables:
y = 6x + (-2)
y = 6x - 2
y = 6x - 2 is your answer.
~
Answer:
y = 6x-2
Step-by-step explanation:
The slope intercept equation form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 6x-2
3 inches is what fraction of a foot?
Answer:
1/4
Step-by-step explanation:
There are 12 inches in a foot, so 3 inches is 3/12 of a foot. As a reduced fraction, that is 1/4 of a foot.
Answer: 1/4 of a foot.
Step-by-step explanation: If you ever see this, I'm guessing you're in Elementary. But all3 of your questions have gotten me weak.
(-1/2)/(1/2)
what's the answer
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The probability that a company will launch the product A and B are 0.45 and 0.60 respectively, in main while, probability that both products launched, is 0.35. What is the probability that Neither will of these products launch? (04) At least one product will be launched ?
Answer:
1) 0.3 ; 0.7
Step-by-step explanation:
Given the following :
Probability that product A launch : P(A) = 0.45
Probability that product B launch : P(B) = 0.60
Probability that both product launch : P(AnB) = 0.35
P(A alone) = p(A) - p(AnB)
P(A alone) = 0.45 - 0.35 = 0.1
P(B alone) = p(B) - p(AnB)
P(B alone) = 0.60 - 0.35 = 0.25
Probability that neither product will launch :
1 - [p(A alone) + p(B alone) + p(AnB)]
1 - [0.1 + 0.25 + 0.35]
1 - 0.7 = 0.3
Probability that at least one product will launch :
P(A alone) + p(B alone) + p(AnB)
0.1 + 0.25 + 0.35 = 0.7
question is-- Northern Tier Gardens has hired you for a summer job installing water gardens. they have circular water garden pools available in a variety of sizes. the manager has asked you to create a table to show the circumference and area of the company's various water garden pools. use 3.14 for π and round each answer to the nearest hundredth. === 20 PTS.
Answer:
See explanation
Step-by-step explanation:
Atlantic area = πr² = (3.14)(2.5)² = 19.63 ft²
Circumference = 2πr = 2(3.14)(2.5) = 15.7 ft
Pacifica A = (3.14)(6)² = 113.04 ft²
C = 2(3.14)(6) = 37.68 ft
Mediterranean A = (3.14)(1.75)² = 9.62 ft²
C = 2(3.14)(1.75) = 10.99 ft
Baltica A = (3.14)(1)² = 3.14 ft²
C = 2(3.14)(1) = 6.28 ft
Japanesque A = (3.14)(2.25)² = 15.90 ft²
C = 2(3.14)(2.25) = 14.13 ft
Floridian A = (3.14)(3.25)² = 33.17 ft²
C = 2(3.14)(3.25) = 20.41 ft
