Answer:
Statement: 60 = 3x + 15; Reason: substitution
(aka A)
Step-by-step explanation:
The missing statement and the missing reason in step 5 is;
Statement: 60 = 3x + 15; Reason: substitution
Here,
We have to find the missing statement and missing reason.
What is Substitution method?
Substitution method is algebraic method to solve the linear equations .
Now,
Column 1 and column 2 are labeled here as;
Angle A D E = 60 degrees ( entries given)
Angle C D F = (3 x + 15) degrees
Angle A D E and Angle C D F are vertical angles. (definition of vertical angles)
Angle A D E is-congruent-to Angle C D F. ( definition of congruency)
Measure of angle A D E = Measure of angle C D F.
⇒ 60 = 3x + 15 ( substitution )
⇒ 45 = 3 x ( subtractive property )
⇒ 15 = x ( division property )
Hence, The missing statement and the missing reason in step 5 is;
Statement: 60 = 3x + 15; Reason: substitution
Learn more about the substitution method visit:
https://brainly.com/question/26094713
#SPJ2
Find the area of a rectangle with base 4 ft and helght 4 in.
Answer:
16in ^2
Step-by-step explanation:
4*4
Answer:
Area of rectangle is 16
Step-by-step explanation:
Area of rectangle = base, 4, times the height, 4
Area of rectangle = 4 times 4
Area of rectangle = 16
What is the greatest common factor 12x^5 and 8x^3
Hey there! I'm happy to help!
Let's see what makes 12x^5.
3·2·2·x·x·x·x·x
And for 8x^3...
2·2·2·x·x·x
We see that both of these have two 2s and 3 xs, so our GCF is 2·2·x·x·x which is 4x^3.
Have a wonderful day! :D
If f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answer:
The answer is 6.9Step-by-step explanation:
f(x) = 8.3x + 8.1
To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x
That's
8.3x + 8.1 = 65.37
Subtract 8.1 from both sides
That's
8.3x + 8.1 - 8.1 = 65.37 - 8.1
8.3x = 57.27
Divide both sides by 8.3
[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]
We have the final answer as
6.9 to the nearest tenthHope this helps you
Which number is IRRATIONAL?
25.23
8
which number is irrational? 25.23 is irrational because 8 is a rational number.
Answer:
None
Step-by-step explanation:
First let's define the meaning of irrational.
It means "no ratio", which is a number that goes on forever without repeating (e.g. pi and the square root of 2)
25.23 is rational and 8 is also rational.
i need help with my math problem 8(−12)=
Answer:
The answer is -96
Step-by-step explanation:
First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.
I hoped that helped! You are welcome! :)
HELP ME PLEASE
Phil collected data from several of his friends about the number of hours they spent sleeping
and the number of hours they spent playing video games on Saturday. He recorded the data in the scatter plot.
Based on the scatterplot, what is the best prediction of the number of hours one of Phil's
friends spends sleeping when the friend spends 1 hour playing video games?
Answer: I just did the test so therefore the answer would be 9 hours
Step-by-step explanation: hoped this helped thx for the points :D
can someone please solve the question above.
Answer:
y = -7x + 11
Explanation:
Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.
For the pair of functions, find (f o g)(x) and (gof)(x).show work!!!!!
f(x) = -2x^2, g(x) = x + 4
A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2
B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4
C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32
D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4
The function (f·g)(x) is -2x³-8x²and the function (g·f)(x) is -2x³-8x². Therefore, the correct answer is option A.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=-2x² and g(x)=x+4.
Now, (f·g)(x)=f(x)×g(x)
= -2x² ×(x+4)
(f·g)(x)= -2x³-8x²
Here, (g·f)(x)=g(x)×f(x)
= (x+4)×(-2x²)
(g·f)(x)= -2x³-8x²
Therefore, option A is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
Cesar has read 89 pages of a book for his
English class. If the book has 257 pages and
he can read 21 pages per hour, how many
hours will it take Cesar to finish the book?
a. 168
b. 8
C. 12
d. 5
Answer:
X=8
Step-by-step explanation:
First subtract the read pages with the unread pages which is 168.
Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8
3. On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?
Answer:
b
Step-by-step explanation:
im 50% sure this write dont blame me man
The coordination of the ship's position at noon will be (0.5,2).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. they are typically expressed by the x-value and y-value pairs (x,y).
As per the given L(-4,7) and B(5,-3)
The midpoint of the above coordinates will be given as,
x = (-4 + 5)/2 = 1/2
y = (7 - 3)/2 = 2
Thus, (0.5,2) will be the location of the ship.
Hence "The coordination of the ship's position at noon will be (0.5,2)".
For more about coordinates,
brainly.com/question/7869125
#SPJ2
The missing photo is attached below,
7y-9=3y+27 y= please help!
Answer:
Y=9
Step-by-step explanation:
Single out the variable, so subtract 3y from both sides.
7y-9-3y=3y+27-3y
4y-9=27
Then move the value to one side, so add 9 to both sides.
4y-9+9=27+9
4y=36
Then divide 36 by 4
4y/4=36/4
y=9
What is standard form?
Y = mx + b
O Ax+By = C
a^2 + b^2 = 2^2
m is the slope
Answer:
I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.
Step-by-step explanation:
step by step what is -1/3 divided by 1/2
Answer:
-2/3
Step-by-step explanation:
Step 1:
-1/3 ÷ 1/2
Step 2:
-1/3 × 2/1
Answer:
-2/3
Hope This Helps :)
what is the common denominator of 1/8 -5/3
Answer:
-37/24
Step-by-step explanation:
A rectangle has a width of (3x² – 5x – 2) units and a length of (2x² + 12x - 4) units. Create a simplified expression of the form ax+ bx + c for the perimeter of the rectangle.
Perimeter = ........... units
Answer:
b=(3x² – 5x – 2)
l=(2x² + 12x - 4)
perimeter= 2(l+b)
=2( 2x² + 12x - 4+3x² – 5x – 2)
=2(5x²+7x-6)
=(10x²+14x-12) units
Hope it helps:-)
Need help with this question!!!
Pls explain!!!
3=-(4x+7)+3x
Answer:
x=-10
Step-by-step explanation:
3=-(4x+7)+3x
move all terms to the left:
3-(-(4x+7)+3x)=0
calculate terms in parentheses: -(-(4x+7)+3x), so:
-(4x+7)+3x
add all the numbers together, and all the variables
3x-(4x+7)
get rid of parentheses
3x-4x-7
add all the numbers together, and all the variables
-1x-7
Back to the equation:
-(-1x-7)
get rid of parentheses
1x+7+3=0
add all the numbers together, and all the variables
x+10=0
move all terms containing x to the left, all other terms to the right
x=-10
If A= -3, B= -7, C= 5, and D= 2, what does AB - CD= Question options: A.11 B.31 C. -11 D. -15
Help please!!!
Three fourths of the difference of a number and 7 is negative filteen. What is the number?
Answer:
The number is 27
Step-by-step explanation:
let the number be x
3/4 ( 7-x)=-15
21/4 - 3/4x=-15
collect like terms
-3/4x=-15-21/4
-3/4x=-81/4
divide both sides by -3/4
x=27
Two samples were taken of fish caught on Small Lake and are shown in the table below. It is estimated that the Small Lake fish population is roughly 1,000 fish. What is the average number of brown trout in the lake? Small Lake Fish Sample 15 Sample 1 Rainbow Trout Brown Trout Largemouth Bass 11 Sample 2 Rainbow Trout Brown Trout Largemouth Bass 3 1 9 11 43 ООО 80 160 333.
Answer:
b or 80
Step-by-step explanation:
80 is the average number of brown trout in the lake.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
given, Two samples were taken of fish caught on Small Lake and are shown in the table given.
Total fish were taken in both samples = 9 + 3+ 15 + 11 + 1 + 11
Total fish were taken in both samples = 50
Brown fish in both samples = 3 + 1
Brown fish in both samples = 4
Thus,
the average number of brown trout in the lake = 4/50 * 1000
Since there are 1000 fish in total in the lake
the average number of brown trout in the lake = 80
Therefore, the average number of brown trout in the lake is 80.
Learn more about Mean here:
https://brainly.com/question/521501
#SPJ6
Complete question:
Which of the following statements best describes the value of the expression 8x – 5, when x = 3? A. The result is not a whole number. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite. help lol
Answer:b
Step-by-step explanation:8 times 3 is 24 minus 5 is 19. prime numbers are 1 times itself so its B and composite numbers are like four 2 times 2 and 4 times 1.
Answer: B
Step-by-step explanation: When you insert the 3 in place of x, the equation is 8(3)-5 which equals 19. Composite means that numbers can be multiplied to get it. For example, the number 12. You can multiply 3 and 4 or 2 and 6 to get it, making it a composite number. For a number to be prime, the only numbers that can be multiplied to get it is 1 and itself. Let's use the number 3 as an example. The only way you can get 3 by multiplying is by multiplying 1 and 3 (1 and itself as said before). Hope this helps!
.9274 is it rational, whole, or integer
Answer:
rational
Step-by-step explanation:
Answer:
.9274 is a integer
Step-by-step explanation:
rational numbers have to be able to be written as a fraction.
.9274 is not a whole number.
therefore it is an integer.
The ratio of boys to girls in the lunch room was 4 to 3. If there were 84 students in the cafeteria, how many were girls?
Step-by-step explanation:
9868866858566586575765578
You need a piece of paper to measure 64 Dash 25 cylinders if you take two together that each measure 38.4 silver meters how much do you need to cut off
Answer:
The length needed to cut off is 12.55 cm
Step-by-step explanation:
The corrected question is:
you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?
Solution:
measurement/length of each paper piece = 38.4 cm
measurement/ length required = 64.25 cm
If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:
38.4 + 38.4 = 76.8 cm
So to calculate how much we need to cut off:
length required to cutoff = total length of two pieces - length required
= 76.8 - 64.25
= 12.55 cm
So the length required to cut off is 12.55 cm
(25 X 43) + (25 x 57) =
Answer:
2500
Step-by-step explanation:
Step 1:
( 25 × 43 ) + ( 25 × 57 )
Step 2:
1075 + 1425
Answer:
2500
Hope This Helps :)
y is inversely proportional to the cube of x. It is given that for a certain value of x, the value of y is 7. Find the new value of y when x is doubled.
Inversely proportional means as one variable increases the other variable decreases.
In this problem, x is doubled which means it's increased, therefore, y is decreased.
7 / 2 = 3.5
The new value of y is 3.5
2. Write the equation of the line that goes through (5, 4) and has a slope
NEEED HELLLPPPPP PLEASEEE
Option 2
Step-by-step explanation:
[tex](5,4) = (x_1,y_1) \\ m = \frac{4}{5} [/tex]
Substitute values into the point slope form
y-y1 =m(x-x1)
y- 4= 4/5(x-5)
y -4= 4/5x -4
y= 4/5 x -4+4
y= 4/5x
Sarah has 5⅓ cups of cat food. Her cat eats ⅔ of a cup each day. How many days will the food last?
Answer:
It will last 8 days
Step-by-step explanation:
divide 5 1/3 by 2/3
What are the equivalent expressions for aº and a " ? Why do
these rules work?
If mZQOS = 49, mZPOR = 65, and mZPOQ = 28, what is mZROS?
0
mZROS =
(Type an integer or a decimal. Do not include the degree symbol in your answer.)
Write the sentence as an equation
333 is equal to the product of c and 254
Answer:
254c = 333
Step-by-step explanation:
254c = 333