Answer: 4
a = 4
Step-by-step explanation: 8=3(4)-4
8=12-4
Substitute a for 4
hope this is correct :-)
Answer:
a=4
Step-by-step explanation:
8=3a-4
-3a= -4 -8
-3a = -12
a=12/3
a=4 Ans
The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.
Answer:
Number = 92
Step-by-step explanation:
Let the unit digit is x and that of tens digit is y.
ATQ,
x+y = 11 ....(1)
The unit's digit is 7 less than the ten's digit
x = y-7 ...(2)
Put the value of x from equation (2) in (1)
y-7+y = 11
2x-7 = 11
2x = 11+7
2x = 18
x = 9
Put the value of x in equation (1)
9+y = 11
y = 2
Hence, the number is 92.
Express (x + 5)^2 as a trinomial in standard form.
Answer:
Ste(x−5)2=x2−10x 25
step-by-step explanation:
The standard form of a polynomial in one variable is a sum of terms in decreasing order of degree.
For brevity, terms with negative coefficients are usually written as subtractions rather than adding the additive inverses. That is, we would write
x
2
−
3
x
+
2
rather than
x
2
+
(
−
3
)
x
+
2
In order to express
(
x
−
5
)
2
in standard form, we need to multiply it out, combining terms of like degree. We can use the FOIL mnemonic to help:
(
x
−
5
)
2
=
(
x
−
5
)
(
x
−
5
)
(
x
−
5
)
2
=
First
(
x
)
(
x
)
+
Outside
(
x
)
(
−
5
)
+
Inside
(
−
5
)
(
x
)
+
Last
(
−
5
)
(
−
5
)
(
x
−
5
)
2
=
x
2
−
5
x
−
5
x
+
25
(
x
−
5
)
2
=
x
2
−
10
x
+
25
Alternatively, we can recognise a pattern and use it.
For example:
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
So we could take the second of these and put
a
=
x
,
b
=
5
to find:
(
x
−
5
)
2
=
x
2
−
2
(
x
)
(
5
)
+
5
2
(
x
−
5
)
2
=
x
2
−
10
x
+
25
The standard form is: [tex]x^2+10x+25[/tex].
We expand the given expression.
[tex](x + 5)^2\\=x^2+2(x)(5)+5^2\\=x^2+10x+25[/tex]
So the standard form is: [tex]x^2+10x+25[/tex].
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Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 meters. The scale factor is ?
Answer:
1 : 3000
Step-by-step explanation:
Given that:
Scale measurement as following:
4 centimeters are equal to 120 meters.
To find:
The scale factor = ?
Solution:
First of all, let us learn about the definition of scale factor.
Scale factor means 1 unit on scale is equal to what length of actual measurement.
We are given that 4 cm on scale is equal to 120 meters of actual length.
We need to find nothing but how much 1 cm of scale is equal to actual length.
4 cm of scale = 120 meters or 12000 cm of actual length
Dividing by 4 on both sides, we get:
[tex]\frac{4}{4}[/tex] = 1 cm of scale = [tex]\frac{12000}{4}[/tex] = 3000 cm of actual length
Therefore, the scale factor is 1 : 3000
The scale factor is 1; 3000.
Given
The scale measures 4 centimeters equal to 120 meters.
What is the scale factor?The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
Scale factor means 1 unit on the scale is equal to what length of actual measurement.
4 cm of scale = 120 meters or 12000 cm of actual length.
1 cm of scale = 4/4
Then,
[tex]= \dfrac{12000}{4}\\\\=3000[/tex]
Hence, the scale factor is 1; 3000.
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Solve the system by substitution 2x-y=39 and -6y=x
Answer:
x=18,y=-3
Step-by-step explanation:
find the measure of abc
what ordered pair is a solution to the equation y= -2/3x + 9?
(-3/2, 10), (0, 10), (-1, 10 2/3), (2/3, 10)
Answer:
(-3/2, 10)
Step-by-step explanation:
(x, y)
Set y = 10
10 = -2/3(x) + 9
x = -3/2
(-3/2, 10)
Set y = 10 2/3
10 2/3 = -2/3(x) + 9
x = -5/2
(-5/2, 10 2/3)
You can also plot the line and see which point is on the line which would be (-3/2, 10).
The ordered pair that represents the solution to y= -2/3x + 9 is: A. (-3/2, 10)
Recall:
An ordered pair, (x, y) is a solution to a given equation if we plug the x and y values of the ordered pair and the equation remains TRUE.Thus, plug in the ordered pair, (-3/2, 10) into y= -2/3x + 9:
10 = -2/3(-3/2) + 9
Simplify10 = 1 + 9
10 = 10 (TRUE)
Therefore, the ordered pair that represents the solution to y= -2/3x + 9 is: A. (-3/2, 10)
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what is the volume of this cube?
Answer:
1
Step-by-step explanation:
The volume of this cube is 1 cu.cm , Option B is the correct answer.
What is a cube ?A cube is a three dimensional shape having 6 square faces , all the faces are of equal length , breadth and height.
The volume of the cube is given by side * side * side
Let side = a
Then volume of the cube = a³
In the given figure all the side of the cube is given as 1 cm.
Therefore to determine the value of the volume , we will substitute in the equation
V = (1)³
Volume = 1 cu.cm
Therefore , the volume of this cube is 1 cu.cm, Option B is the correct answer.
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can someone help me with this?
Answer:
Equation
Step-by-step explanation:
Equation Rate of change: 2/1=2
Graph Rate of Change: -4/1=-4
Answer: Equation has a greater rate of change
Step-by-step explanation:
Equation's rate of change is 2 and graph's rate of change is -4
Create an equation that has -12 and -15 as its only solutions.
Answer:
x^2+27x+180
Step-by-step explanation:
okay so -12 and 15 are the only solutions
work backward
add 12 and add 15 from x
(x+12)(x+15)
then solve this
x*x=x^2
x*+15=15x
12*x=12x
12*15=180
now put it all together
x^2+15x+12x+180
then simplify
x2+27x+180
(x+12)(x+15)
Then solve again to try it.
x+12=0
x+15=0
x=-12
x=-15
Hope this helps.
Which triangle is congruent to the triangle with vertices (2,-2), (7,10), and (4,6)? (1 point)
O (-4,2), (8,7), (1,1)
0 (-5,3), (7,-2), (3,1)
O (9,6), (1,8), (-1,4)
O (-7,-5), (-3, -2), (3, 3)
Answer:
(-5,3), (7,-2), (3,1)
Step-by-step explanation:
Just did this question. Got it wrong but thats what it says the right answer is
What 3/4 x 5/8 in fraction
Answer: Hi! 15/32, I think!
Answer:
15/32
Step-by-step explanation:
Lashonda started to run on a treadmil, after setting it's timer for 64 minutes, The display states that she has finnished 68% of her run, how many minutes have gone by?
Step-by-step explanation:
It is 64*0.32=20.48 minutes or 20.5 minutes.
Answer:
43.52
Step-by-step explanation:
first you have to multiply the amount of time in all by the percent she has done. then after that you divide by 100.
Help please and Thankyou
a) A square with sides of length 8 units, sits on a graph with is lower left hand corner at the origin. This square is translated 5 units up,and 7 units left. What are the coordinates of the upper right hand corner after translation.
b) Explain
Answer: not correct reset an-[ERROR]
Step-by-step explanation:
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
1.six and two thirty thirds kilometers
2.five and twenty five thirty thirds kilometers
3.six and twenty five thirty thirds kilometers
4.six and twenty thirty thirds kilometers
Answer:
3!
Step-by-step explanation:
8 2/3 - 1 10/11 = 223/ 33 (6 25/ 33)
Hope it helped!
t-5 for t=7 solve for t
Answer:
2?
Step-by-step explanation:
7-5 is equal to 2
Answer:
2
Step-by-step explanation:
a giraffe is 16 feet tall and casts a shadow of 24 feet. if Dustin casts a shadow of 9 3/5 feet how tall is he?
Answer:
12.4 feet
Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3
If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3
so,
x/93/5 = 2/3
Multiplying both sides with 93/5
x = 2/3 * 93/5
x = 62/5 =12.4
Choose the word that correctly completes the statement
Since angle B is the largest angle, line segment AC is the
side,
The line segment AC (side a) is the longest side of triangle ABC.
To determine which side of triangle ABC is the longest, we can use the concept that the side opposite the largest angle in a triangle is the longest side. In this case, angle B is the largest angle with a measure of 75 degrees.
Now, we can identify the side opposite angle B, which is line segment AC. Therefore, line segment AC is the longest side of triangle ABC.
To calculate it more formally, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. The formula is:
a/sin(A) = b/sin(B) = c/sin(C)
Where:
a, b, c are the side lengths of the triangle.
A, B, C are the angles opposite to sides a, b, c, respectively.
Let's calculate the length of side AC (a) using the law of sines:
a/sin(A) = b/sin(B) = c/sin(C)
a/sin(45°) = b/sin(75°) = c/sin(60°)
a/√(2) = b/sin(75°) = c/sin(60°)
Now, we know that b < a and c < a because angle B is the largest angle. So, to find the value of a, we need to solve for it.
a = √(2) * b and a = (√(3)/2) * c
Now, we have three sides in terms of one variable (a, b, and c), and we know that a > b and a > c. Therefore, line segment AC (side a) is the longest side of triangle ABC.
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The complete question is:
A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest
Hypolenuse_13cm Sudheer ruder his by cycle 9km exact and the rider 12 km north .How for is the form his starting point?
What is 60,000+3,000+20+9 in standard form?
60,000 + 3,000 + 20 + 9
= 63,000 + 29
= 63,029.
Answer: 63,029
Hope this helps have A wonderful Christmas
Step-by-step explanation:
Three people need to peel 1000 potatoes working together. Stacey starts at 2 PM peeling 20 potatoes per hour. Rob starts at 3 PM peeling 30 potatoes per hour, and James starts at 4 PM peeling 40 potatoes per hour. If they work continuously, at what time will the 1000 potatoes be peeled ?
Answer:
They would be done by 2 : 18 AM
Step-by-step explanation:
Key Information:
- Stacey starts at 2 PM peeling 20 potatoes per hour
- Rob starts at 3 PM peeling 30 potatoes per hour
- James starts at 4 PM peeling 40 potatoes per hour
At 5pm;
Stacy would have worked for 3 hours and would have peeled ( 3 * 20 = 60 potatoes)
Rob would have worked for 2 hours and would have peeled ( 2 * 30 = 60 potatoes)
James would have worked for an hour and would have peeled ( 1 * 40 = 40 potatoes)
Total number of potatoes peeled at 5pm = 60 + 60 + 40 = 160 potatoes
Potatoes left = 1000 - 160 = 840 potatoes.
The new peeling rate for three of them combined is (20 + 30+ 40 ) = 90 potatoes per hour.
Rate = potatoes left / time;
Time = Potatoes / Rate
Time = 840 / 90 = 9.3 hours = 9 hours 18 minutes
Total time taken = 9 hours 18 minutes + 3 hours = 12 hours 18 minutes
They would be done by 2 : 18 AM
Answer:
2:20 am
Step-by-step explanation:
Stacey's start time = 2 pm
Rate = 20 per hour
Rob start time = 3pm
Rate = 30 per hour
James start time = 4pm
Rate = 40 per hour
Number of potatoes = 1000
By 4 pm when James started :
(2 * 20) + (1 * 30) = 40 + 30 = 70
Potatoes left at 4pm = 1000 - 70 = 930 potatoes
Number of potatoes peeled per hour staring from 4 pm:
20 + 30 + 40 = 90 potatoes
Time taken to peel 930 potatoes will be :
930 / 90 = 10.333333 hours
(0.33333 * 60) = 19.9998 minutes
10.3333 hours = 10 hours 19.99998 minutes = 10 hours 20 minutes
Hence, from 4pm = 4pm + 10 hours 20 minutes = 2 : 20 a. M
If triangle pts is congruent to triangle pqr find the value of x
Answer:
Its 8
Step-by-step explanation:because u add then divide and subtract
HELP!!!! I need help quickly!!!!
Step-by-step explanation:
If we use both hoses, we fill the pool at 40 + 60 = 100 gallons per hour.
The volume of the pool is 60 * 300 = 45 * 400 = 18,000 gallons.
Hence, we need 18,000 / 100 = 180 hours.
The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?
A. 5/12
B. -12/13
C. -5/12
D. 12/13
Step-by-step explanation:
In Quadrant II, cosine is negative.
We know that sin²x + cos²x = 1, so:
cosx = sqrt[1 - sin²x]
= sqrt[1 - (5/13)²]
= sqrt(144/169)
= -12/13 (since cosx is negative here)
The answer is -12/13. (B)
Option B is correct.
Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.
According to the given question
We have, sin ∅ = 5/13
From the trigonometric identities we know that
[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1
substitute the value of sin∅ in the above identity
[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅ =1
⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅ =1
⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]
⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]
⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]
⇒cos∅ = ±[tex]\frac{12}{13}[/tex]
Since, ∅ is in quadrant II, then cos<0
⇒ cos∅ = -[tex]\frac{12}{13}[/tex]
Hence, option B is correct.
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Really easy question !!!!!!!
Linear Algebra
Answer:
Okay thank you
Step-by-step explanation:
Answer:??
Step-by-step explanation: where’s the question
A thermometer shows a temperature of Negative 20 and three-fourths degrees. A chemist recorded this temperature in her notebook using a decimal. Which number did the chemist write in the notebook?
Negative 21.ModifyingAbove 4 with bar
Negative 21.ModifyingAbove 3 with bar
Negative 20.75
Negative 20.34
Answer: Negative 20.75
Step-by-step explanation:
The question simply wants us to convert the temperature shown by the thermometer to decimal. We should note that the temperature shown is Negative 20 and three-fourths degrees.
First, we convert 3/4 to decimal. This will be:
= 3/4 = 0.75.
Therefore, -20 3/4 = -20.75
Answer:
C. -20.75
Step-by-step explanation:
Got it right on edge :)
A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?
[1 mile = 1.6 km]
0.2
0.5
0.8
1.4
Answer:
Step-by-step explanation:
if our motorcycle use 70 miles per gallon
and 1mile=1.6 km
the motorcycle travels 70*1.6=112 km per gallon
for 60 km it needs
60/112=0.54 gallons
Miguel runs 1/2 of a mile every 5 minutes, or 1/12 of a hour. At this rate, how many miles can he run in an hour.
Answer:
The answer is 12
Step-by-step explanation:
1/5 x 60 is 12
There is a 60 because There's 60 minutes in a hour.:)Have a good day❤
Solve the following equation and explain each step using apropriate Properties
5(4x-3)-18=7
Answer:
x=2
Step-by-step explanation:
5(4x - 3) - 18 = 7
20x - 15 - 18 = 7 distributive property
20x - 33 = 7 communitive property
20x = 40
-------------
20
x=2
HELP PLEASEEE OVERDUE (show work) will give BRAINLIEST ! :)
Answer:
2/7 I Don't know the other one
here you go, hope that helps some
PLEASE ANYONE! I need to create a inequality equation to make this shape on the graph.
9514 1404 393
Answer:
-4 < y < 4 and y < -3/2x +2
Step-by-step explanation:
The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...
m = rise/run = -3/2
This means we can write the boundary line equation as ...
y = mx + b
y = -3/2x +2
__
We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...
y < -3/2x +2
We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...
-4 < y < 4 and y < -3/2x +2