Answer:
0.47864506627
Step-by-step explanation:
On his first three tests, Trevor scored 86, 83, and 78. What score must he get on his fourth test to have an average (mean) of 80 for all four tests?
Answer:
Trevor must score a 73.
Set UpWe will create an equation that has four values (three knowns, one unknown) that will divide by 4 to find the average.
Our equation will look like this:
[tex]\displaystyle \frac{86+83+78+x}{4}=80[/tex]
SolveFirst, combine all like terms.
[tex]\displaystyle \frac{247+x}{4}=80[/tex]
Then, divide the fraction.
[tex]\displaystyle \frac{247}{4} + \frac{x}{4} = 80[/tex]
Subtract 247/4 from both sides of the equation.
[tex]\displaystyle \frac{247}{4} - \frac{247}{4} + \frac{x}{4} = 80 - \frac{247}{4}[/tex]
[tex]\displaystyle \frac{x}{4} = \frac{73}{4}[/tex]
Then, multiply both sides of the equation by 4 to get rid of the denominator and isolate the variable.
[tex]4\times\displaystyle \frac{x}{4} = 4\times\frac{73}{4}[/tex]
[tex]x=73[/tex]
Final Answer[tex]\boxed{\bold{x=73}}[/tex]
How do you find the length of an arc
Answer: You divide the degree measure of the arc by 360 degrees.
Step-by-step explanation:
Answer:
s=rx
Step-by-step explanation:
s is arc length, r is radius, and x is the central angle.
Geometry…
Find the values of X and Y
Thanks
The value of x will be 4 and value of y will be 7
34°= 9x-2 ( vertically opposite angle)
Vertical Angles (Vertically Opposite Angles) When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.
9x = 36
x = 36/9
x = 4
QE║ RT
∠ IYW = ∠ WAP
SO ∠ WAP = 34°
∠IWY+∠AWI = 180° ( LINEAR PAIR)
So ∠IWY = 90°
∠IWY = ∠ AWP ( vertical opposite angle)
∠ AWP = 90°
In ΔAWP
∠ AWP+∠ WAP +∠ APW = 180°
( sum of all the angle in triangle is 180°)
90°+ 34°+8Y = 180°
124°+ 8Y = 180°
8Y = 180°- 124°
8Y = 56°
Y = 7
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Two parallel lines are cut by a transversal. What is the measure of angle6 ?
Answer:
A
Step-by-step explanation:
Angle 3 and angle 6 are congruent because they are alternate interior angles. Angle 3 plus angle 1 is 180 degrees. So you just subtract 123 from 180 (180-123) and you get 57 degrees.
The measure of angle 6 is 57°
The correct answer is an option (A)
What are parallel lines?"The lines in the same plane that are at equal distance from each other and never meet."
What is transversal?"A line that passes through two lines in the same plane at two distinct points in the geometry. "
What are opposite angles?"The angles directly opposite to each other when two lines intersect in a plane."
For given question,
Line n and line p are parallel lines and line t is the transversal.
Here, angle 1 and angle 4 are opposite angles.
⇒ ∠1 = ∠4
We have been given that ∠1 = 123°
⇒ ∠4 = 123°
Also, angle 4 and angle 6 are interior angles on the same side of the transversal.
We know that each pair of interior angles on the same side of the transversal is supplementary.
⇒ ∠4 + ∠6 = 180°
⇒ 123° + ∠6 = 180°
⇒ ∠6 = 180° - 123°
⇒ ∠6 = 57°
Therefore, the measure of angle 6 is 57°
The correct answer is an option (A)
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Simplify the expression to a polynomial in standard form:
(3x + 1)(2x2 + 9x + 6)
what is the value of 3⁵ . 3n = 3⁸
Answer:
n=6561/1451
Step-by-step explanation:
Is 4y+9+3 and 3y+9+4y equivalent
What are the slope and Y intercept of the line described by Y equals 3X -6
A map has a scale of 288 mi to the
inch. How far apart on the map are two cities that, in
reality, are 2016 mi apart? How far apart in reality are
two cities that are 8 in. apart on the map?
The scale of a map is 288 miles per inch. On the map, how far away are two cities that are actually 2016 miles apart? Two cities that are 8 inches apart on a map, how far apart are they in reality?
7 miles per inch far away are two cities that are actually 2016 miles apart and 1.142 miles per inch far away the two cities that are 8 inches apart on a map.
Let us take First two cities as A and B and the next two cities as C and D.
Now,
City A and City B are separated by 288miles per inches.
In reality, the two cities are separated by 2016 miles.
[tex]=\frac{2016}{288}=7[/tex]
The scale on the map for cities A and B is: 7
The same map, however,
what would be the separation between cities C and D,
the true distance between two cities, which is 8 miles.
This issue can be resolved with a proportion.
=[tex]\frac{288}{2016}\times 8[/tex] miles
=[tex]\frac{288\times8}{2016}[/tex] miles
=1.142 miles
Therefore, on the map, 7 miles per inch far away are two cities(A and B) that are actually 2016 miles apart and 1.142 miles per inch far away the two cities(C and D) that are 8 inches apart on a map.
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Yesterday Priya successfully made 12 free throws. Today she made 150% as many. How many successful free throws and Priya make today?
Subtract.
15 - (-4)=
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is
its height?
Answer:
12 ft
Step-by-step explanation:
it's either 12 or 18, I have no idea :/
There are 13 boys and 18) girls in the cafeteria.
How many less boys are in the cafeteria?
Answer: 5 less boys in the cafeteria then girls.
Step-by-step explanation:
18-13=5
18=girls
15=boys
5=less boys
kinda just basic subtraction.
A box of fruit contains apples, oranges, and bananas. The apple weigh a total of 6 pounds and the oranges weigh a total of 8 pounds. Let b represent the total weight of the bananas, in pounds? What is the equation
The equation is 6+8+b
The total weight of fruit apples+ oranges + bananas=6+8+b
An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
Linear Equation Definition: A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
There are linear equations in one variable and linear equations in two variables. Let us learn how to identify linear equations and
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When tomás simplified the expression -2.6 + [-5.4], he got2.8. What mistake did tomás likely make?
Answer: he probably didn't pay attention to the - sign on -5.4
What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x+y=2?
Answer:
An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept.
Given the line
6x+y=2
Simplifying the equation to write into the slope-intercept form
y = -6x+2
So, the slope = -6
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be: -1/-6 = 1/6
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1/6 and the point (6, -2)
[tex]y-\left(-2\right)=\frac{1}{6}\left(x-6\right)[/tex]
[tex]y+2=\frac{1}{6}\left(x-6\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{1}{6}\left(x-6\right)-2[/tex]
[tex]y=\frac{1}{6}x-3[/tex]
Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:
[tex]y=\frac{1}{6}x-3[/tex]The Tennessee Titans scored 22 points in week 5 and 35 points in week 6. Find the percent of increase.
Answer:
59.09%
Step-by-step explanation:
35-22=13
13/2= .59090909=59.09%
What is the product of 14/5
Answer:
2.8
Step-by-step explanation:
Just divide and get the answer
2(2 – 2x) = –3x A. –4 B. 4 C. 6 D. 0
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
Let's solve:
[tex]2(2−2x)=−3x[/tex]
Step 1: Simplify both sides of the equation.
[tex]2(2−2x)=−3x \\ (2)(2)+(2)(−2x)=−3x(Distribute) \\ 4+−4x=−3x \\ −4x+4=−3x[/tex]
Step 2: Add 3x to both sides.
[tex]−4x+4+3x=−3x+3x \\ −x+4=0[/tex]
Step 3: Subtract 4 from both sides.
[tex]−x+4−4=0−4 \\ −x=−4[/tex]
Step 4: Divide both sides by -1.
[tex] \frac{ - x}{ - 1} = \frac{ - 4}{ - 1} [/tex]
Therefore, the answer will be x = 4.
Wrestlers in a tournament must weigh at least 100 pounds.
Roger weighs 85 pounds.
Which inequality shows the number of pounds, W,
he needs to gain in order to enter the tournament?
Answer:
I think ti is 15 i fi am wrong I am sorry
Answer:
85+15w=100
Step-by-step explanation:
Make an inference about the motivation behind each character’s actions in this earlier scene from the play.
Why does Benvolio beat down their swords?
Why does Tybalt draw his sword and fight?
Answer:
c and b
Step-by-step explanation:
Answer:
c and b
Step-by-step explanation:
multiple choice question
The function f(x) is graphed on the coordinate plane?
Which equation represents the function graphed on the coordinate plane? ~
answer options below~
a. g(x)=|x+1|+3?
b. g(x)=|x+3|-1?
c. g(x)=|x-1|+3?
d. g(x)=|x+3|+1?
Answer:
b. g(x)=|x+3|-1
Step-by-step explanation:
a new bank customer with $4500. wants to open a money market account. the bank is offering a simple interest rate 1.5%. how much interest will the customer earn in 20 years? what will the account balance be after 20 years?
Answer:
a. 1350
b. 6500
Step-by-step explanation:
1.5%×4500=5850
1350+4500=5850
Question 6 of 15
What is the value of the number in the tenths place?
1.793
O A. 0.1
O B. 0.09
O C. 0.7
O D. 0.07
Government intervention to affect the production of a good is
A an input cost
B an excise tax
C quantity supplied
D regulation
Answer:
d
Step-by-step explanation:
75a ²c– 45a ²d - 30bc + 18bd
Answer:
(25a2c - 15a2d - 10cb + 6db)
Step-by-step explanation:
Equation at the end of step 1: (((75•(a2))•c)-((32•5a2)•d))-30cb)+18db
STEP 2:Equation at the end of step2: ((((3•52a2) • c) - (32•5a2d)) - 30cb) + 18db
STEP3:
STEP 4:Pulling out like terms
4.1 Pull out like factors :
75a2c - 45a2d - 30cb + 18db =
3 • (25a2c - 15a2d - 10cb + 6db)
Cómo resuelvo esta ecuación 14-8=10- __
Answer:
4
Step-by-step explanation:
14-8=6
10-4=6
14-8=10-4
14-8=10-???
6=10-???
6=10-4
6=6
???=-4
I need help baddddddd
Answer:
c, 6days
Step-by-step explanation:
c= 3.00d+32
c=3.25d+30.50
after 6 days the cost will be 50 for both
c= 3.00*6+32 = 18+32 = 50
c=3.25*6+30.50 = 19.5 +30.5 =50
Amanda ordered 7 gallons of lemonade for the spring picnic. ONE gallon is approximately 3.3 liters.How many liters of lemonade did Amanda order?
Answer:
23.1 liters
Step-by-step explanation:
7 x 3.3 = 23.1
Answer:23.
Step-by-step explanation:
48 less than twice a number
Answer:
2x - 48
Step-by-step explanation:
If it is 48 less, then it is -48. Next is 2x because it is twice a number.