Answer:
x = 1/9
Step-by-step explanation:
8x + 2 = 3 - x
Add x to both sides.
9x + 2 = 3
Subtract 2 from both sides.
9x = 1
Divide both sides by 9.
x = 1/9
Answer:
x = 1/9
Step-by-step explanation:
We are given the equation:
8x + 2 = 3 - x
In order to solve for the variable x, we need to isolate it; in other words, we need to combine all the x terms and move everything else to the other side.
First, add x to both sides:
8x + x + 2 = 3
9x + 2 = 3
Now subtract 2 from both sides:
9x = 3 - 2 = 1
Divide both sides by 9:
x = 1/9
The answer is thus 1/9.
~ an aesthetics lover
Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.
help me pleasseeeeeee
Answer:
no
Step-by-step explanation:
The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.
Which part is which from the circle
The radius goes from the center to the edge of the circle.
The diameter is twice as long as the radius; it is a segment going through the center with both endpoints on the circle
The circumference is the distance around the circle. Think of it as the perimeter of the circle.
MSolve the following equation using the quadratic formula.
x^2 - 8x + 97 = 0
А.x = 8 + 18i and x = 8 – 18i
B.x= 8 + 18i and x = 8 - 18i
C.x= 4 + 9i and x = 4 - 9i
D. x= 4 + 9i and x= -4 - 9i
Answer:
the answer is C
Step-by-step explanation:
it it can be calculated by using simple quadratic formula
What is the measure of angle EFD? 37.5° 45° 47.5° 55°
Answer:
47.5
Step-by-step explanation:
just took the test
The measure of angle EFD is 47.5°
What is inscribed angle?An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.
Given is a circle C, with an arc ED measuring 95°, we need to find the measure of the inscribed angle ∠EFD,
So,
we know that the arc formed by the central angle is equal to is measure.
∴ arc ED = ∠ECD
∠ECD = 95°
Now,
According to the central angle theorem the angle subtended by an arc length at the center of the circle is double the angle subtended at any point on the circumference of the circle.
therefore,
∠ECD/2 = ∠EFD
∠EFD = 95/2
∠EFD = 47.5°
Hence the measure of angle EFD is 47.5°
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What is the value of
the answer is 2. see attached for step-by-step instructions. hope that helps!
Rachel reads 36 chapters of a book in 6 hours. What is her rate in chapters per hour?
Answer:
6 chapters per hour
Step-by-step explanation:
36 chapters divided by 6 hours equals 6 chapters per hour.
Answer:
6
Step-by-step explanation:
36 devide by 6=6
In a multipack of crisps there are 6 salt and vinegar, 9 ready salted and 6 cheese and onion. Write the ratio of salt & vinegar : ready salted : cheese and onion in its simplest form.
Answer:
salt & vinegar : ready salted : cheese and onion
2 3 2
Step-by-step explanation:
salt & vinegar : ready salted : cheese and onion
6 9 6
Divide each by 3
salt & vinegar : ready salted : cheese and onion
6 /3 9/3 6/3
2 3 2
Answer:
2:3:2
Step-by-step explanation:
Salt and Vinegar: 6
Ready Salted: 9
Cheese and Onion: 6
Put numbers in for the corresponding type:
Salt and Vinegar : Ready Salted : Cheese and Onion
6:9:6
All numbers share a common factor of 3.
Divide all the numbers by 3 to find simplest form.
2:3:2
The length of a rectangle is 5 feet less than 3 times its width. A. Write a rule for the area A as a function of the width w. B. What is the area of the rectangle when its width is 2 feet?
Answer:
A. A = (3w - 5) * w
B. 2 feet squared
Explanation:
A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:
A = (3w - 5) * w
——————————
B. Plug in 2 for w using the given rule.
A = (3[2] - 5) * (2)
Distribute
(6 - 5) * 2
Subtract 5 from 6
1 * 2 = 2
The answer is 2 feet squared since this is area.
Will give BRANLIEST PLEASE HELP
Answer: n=6
Step-by-step explanation:
To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.
[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]
[tex]3=\frac{1}2}n[/tex] [multiply both sides by 2]
[tex]n=6[/tex]
From a rectangular metal sheet whose measure 30cm×20cm, a circular portion whose radius is 10.5cm is cut off .Find the area of remaining metal sheet .
Answer:
254 cm²
Step-by-step explanation:
Calculate first the total area
A = 30*20 = 600 cm²
Then calculate the area of the cercle
A= 10.5²*π = 346.36≈346 cm²
Then substract the area of the circle from the total one:
600-346= 254 cm²
Write an equation, in standard form, for the line that passes through the points (-1, -4) and (1, 6).
Answer:
y = 7/2 x + 5/2Step-by-step explanation:
The equation of a line is expressed as y = mx+c where m is the slope and c is the intercept.
m = Δy/Δx = y₂-y₁/x₂-x₁
Given two points (-1, -4) and (1, 6) with x₁= -1, x₂ = 1, y₁ = -4 and y₂ = 6
m = 6-(-1)/1-(-1)
m = 7/2
To get c, we will substoute the slope and any of the point given into the equation of a line as shown;
Using tyhe point (1, 6) and m = 7/2
6 = 7/2(1)+c
6 = 7/2 + c
c = 6-7/2
c = 5/2
The equation of the line will be y = 7/2 x + 5/2
The value of the digit 2 in 425.3 is
The place value of 2 in 425.3 is tens of 20.
What is place value?The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.
Given digit:
425.3
Write the number as shown below,
425.3 = 400 + 20 + 5 + 0.3
As you can see, the 2 is attached to the tens place,
Therefore, the place value of 2 in 425.3 is tens of 20.
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Select the correct answer. A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r? A. B. C. D.
Answer:
V = [tex]\frac{3.14r^3}{12}[/tex]
Step-by-step explanation:
Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]
But, Given that radius of cone = r/2 of the cylinder
And,
Height of cone = Radius of cylinder i.e. h = r
Putting this in the above formula.
=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]
=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]
=> V = [tex]\frac{3.14r^3}{12}[/tex]
Answer:
(1/12) Pi r^3 option C on plato
Step-by-step explanation:
r = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volume of the cone is (1/12) Pi r^3
A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag contained 5kg of flour. 2040 small bags were packed. How many large bags of flour were packed?
Answer:
696 large bags of flour were packed.
Step-by-step explanation:
Let large bags of flour be 'y'
Let small bags of flour be 'x'. That is x=2040 (according to the question)
[tex](3 \times x) + (5 \times y) = 9600[/tex]
[tex](3 \times 2040) + ( 5 \times y) = 9600[/tex]
[tex](6120) + (5 \times x) = 9600[/tex]
[tex](5 \times x) = 9600 - 6120[/tex]
[tex](5 \times x) = 3480[/tex]
[tex]x = 3480 \div 5[/tex]
[tex]x = 696[/tex]
HOPE IT HELPS
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Hi, I’m really confused if anyone could help me out that would mean a lot?:)
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
A bag contains 5 red marbles, 2 blue marbles, and 3 green marbles what is the probability of drawing a green marble
Answer:
Hey there!
Total marbles= 5+2+3=10
Green marbles= 3
3/10=30%
Hope this helps :)
Pls hurryyy up I need it now....... A translation moves point V(-2, 3) to V (-2,7). Which are true statements about the translation?
The point moves two units left and four units up.
The transformation rule is (x,y) →(x+0.y+4)
The transformation is a vertical translation.
The image is four units to the left of the pre-image.
The translation can be described as (x,y) → (x-2.y+7)
Answer:
Only the y-coordinate changes by 4 so the true statements are that "The transformation rule is (x,y) →(x+0.y+4)" and that "The transformation is a vertical translation."
An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit. 21.2 + w less-than-or-equal-to 30 How much weight can Lorrie add to the carry-on without going over the 30-pound limit? less than 8.8 pounds more than 8.8 pounds no less than 8.8 pounds no more than 8.8 pounds
Answer:
No more than 8.8 lb
Step-by-step explanation:
21.2 + w ≤ 30
Subtract 21.2 from each side
w ≤ 8.8
Lorrie can add no more than 8.8 lb.
Answer:
no more then 8.8
Step-by-step explanation:
tell me if i am right or wrong plz
Can any kind soul help me
Step-by-step explanation:
2.(a) uniform speed = distance/ time
= ( 9×16) / 9
= 16 m/s
(b) 19-10 = 9s
(c) 16×9 = 144m
(d) rate of change of speed
= (v-u)/ t
= ( 7-16)/ 6
= -3/2 m/s²
3.(a) uniform speed = distance/ time
= ( 12×20 ) / 12
= 20 m/s
(b) 22-10 = 12s
(c) (12×20) + 1/2(20+60)(18)
= 240+720
= 960m
(d) acceleration
= (v-u)/ t
= ( 60-20 ) / 18
= 20/9 m/² or 2.22 m/s²
Angad, Caroline and Sarah share some sweets in the ratio 5:3:2. Angad gets 30 more sweets than Sarah. How many sweets are there altogether?
Answer:
120 sweets altogether
Emma is doing a science project. She is measuring the time it takes a snail to move 5 kilometres. It takes the snail one hour to move 1 20 of a kilometre. If the snail moves at the same pace, how long will it take the snail to move 5 kilometres?
Answer:
41.67hrs
Step-by-step explanation:
if the snail moves 0.12km in 1hr
the snail will move 5km in Xhrs
0.12 × X = 5 × 1
0.12X= 5
X= 5/0.12 = 41.67hrs
Answer:
41.76 hours
Step-by-step explanation:
I feel bad so i did the math. Good Luck! hope you get it right!
It would be really helpful if you could solve this for me. Please and thank you:)
Hey there! :)
Answer:
2nd choice.
Step-by-step explanation:
Given:
630 = 42f.
Divide both sides by 42 to solve for f:
630/42 = 42f/42
f = $15.
This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:
The second choice is correct. The number line has a single point at f = 15.
I really need HELP PLEASE
Answer:
A. I and II, only
Step-by-step explanation:
y = x
Switch variables.
x = y
y = 1/x
Switch variables.
x = 1/y
1/x = y
y = x²
Switch variables.
x = y²
±√x = y
y = x³
Switch variables.
x = y³
∛x = y
Graph the line with: a slope of 4/5 through the origin.
Answer:
y = 4/5x
Step-by-step explanation:
We have a slope of 4/5 and a point of (0,0)
Using the slope intercept form of a line
y = mx+b
y = 4/5 x +b
Substituting the point into the equation
0 = -1/2(0) +b
0 = 0+b
0 = b
The equation of the line is
y = 4/5x+0
Please answer the question and please how the working out fully Thank you
Answer:
X will be equal to 36 degrees.
Step-by-step explanation:
A full angle of a pentagon is 108 degrees. A line connecting from a base corner to on the opposite side splits the pentagon into a rhombus and a triangle. In the triangle, two corners will be the same side, while the largest corner will be 108 degrees.
180-108 = 72
72 / 2 = 36
Therefore, x is equal to 36 degrees.
Hopefully this helps :)
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right angle. The length of A B is 17 and the length of A C is 8. What is the length of Line segment B C?
Answer:
A
Step-by-step explanation:
A
Answer:
an altitude
Step-by-step explanation:
its is correct
Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? ________had a head start of _________ meter
Answer:
ryan had a head start of 10 meters.
Step-by-step explanation:
Answer:
A) Ryan
B) 10
Step-by-step explanation:
In rectangle ABCD what are the values of y and z?
A y = 5; z = 55
B y = 5; Z = 5
C y = 35; z = 55
D y = 55; z = 5
Answer:
The answer is option A.
∆BDC is a right angled triangle
Angles in a triangle add up to 180°
That's
z + 35 + 90 = 180°
z = 180 - 35 - 90
z = 55°
Alternate angles are equal
Angle DBC = Angle BDA
That's
35 = 7y
Divide both sides by 7
y = 5
y = 5 z = 55
Hope this helps you
Which expression is equivalent to -4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
Answer:
-65536
Step-by-step explanation:
-1*4^8
Answer:
-65536
Step-by-step explanation:
2x^2-4x=0 Solve for x
Answer:
x = 0, 2
Step-by-step explanation:
Step 1: Factor out GCF
2x(x - 2) = 0
Step 2: Divide both sides by 2
x(x - 2) = 0
Step 3: Solve for roots
x = 0
x - 2 = 0
x = 2