Answer: x=-4
Step-by-step explanation:
Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6^2020 + 7^2020. He stated that the expression was
not equivalent to 13^2020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?
Answer:
The last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 7, 7
Step-by-step explanation:
The given question is to find the value of the sum of two numbers 6²⁰²⁰ + 7²⁰²⁰, where, 6²⁰²⁰ + 7²⁰²⁰ ≠ 13²⁰²⁰
We have;
The last two digits of the powers of 6 are;
6¹ = 6, last two digits = 06
6² = 36, last two digits = 36
6³ = 216, last two digits = 16
6⁴ = 1,296, last two digits = 96
6⁵ = 7,776, last two digits = 76
6⁶ = 46,456, last two digits = 56
6⁷ = 279,936, last two digits = 36
6⁸ = 1,679,616, last two digits = 16
6⁹ = 10,077,696, last two digits = 96
6¹⁰ = 60,466,176, last two digits = 76
6¹¹ = 362,767,056, last two digits = 56
Therefore, the last two digits repeat itself every 5 times
For 6²⁰²⁰, the last two digits will be for the 2020/5 = 404 complete times, which will be 76
The last two digits of the powers of 7 are;
7¹ = 7, last two digits = 07
7² = 49, last two digits = 49
7³ = 343, last two digits = 43
7⁴ = 2,401, last two digits = 01
7⁵ = 16,807, last two digits = 07
7⁶ = 117,649, last two digits = 49
7⁷ = 823,543, last two digits = 43
7⁸ = 5,764,801, last two digits = 01
Therefore, the last two digits repeat itself every 4 times
For 7²⁰²⁰, the last two digits will be for the 2020/4 = 505 complete times, which will be 01
Therefore, the last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 76 + 01 = 77, which is 7, 7
5 out of 12 issues it publishes each year. Write and solve a proportion to determine how many times a photo of a main dish will be on the front cover during the next 5 years?
Answer:
25 times
Step-by-step explanation:
If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish
The proportion is therefore 5/12
In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.
Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years
To check if we are correct, we check the proportion to see if it still evaluates to 5/12
25/60= 5/12 when reduced to lowest terms
help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
Since there are more than one lines that can land plane safely, we take one of it,
When, X = 10 and Y = 7, so the equation we get as,
y-7 = m(x-10) + c
lets find slope, that is value of m,
y2-y1/x2-x1 = m
so, 9-7/ 7-10 = 2/-3
so, m= -2/3
so the final Equation is,
=> y-7 =(-2/3)(x-10) +c
A circle of radius 8 is inscribed in an isosceles trapezoid. The length of the larger base of the trapezoid is 20. Find the length of the shorter base.
PLEASE ANSWER FAST
Answer:
ayy
Step-by-step explanation:
sup
Answer:
12 4/5
Step-by-step explanation:
you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve
An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
Answer:
I don't see the answer but it is 3/2x - 3 = y
Step-by-step explanation:
did it on edge 2020
The equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3. Option E is correct.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation is formed by finding the slope using the coordinates ( 0,-3 ),( 2, 0 ) and ( 4, 3 ).
The slope is calculated as,
[tex]m = \dfrac{x_2-x_1}{y_2-y_1}[/tex]
x₁ = 0, y₁ = -3 and x₂ = 2, y₂ = 0.
The equation is given as,
y = mx + c
y = (-3/2)x - 3
Therefore, the equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3.
The complete question is given below;-
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
y = ( 3/ 2 ) x - 3.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ2
if u subtract 17 from my number and multiply the difference by -5 the result is -25 what is the number
Answer:
the number is 22
Step-by-step explanation:
let the number be x
-5(x-17) = -25
-5x + 85 = - 25
-5x = - 25 - 85
-5x = - 110
x = - 110 ÷ - 5
x = 22
Check answer
- 5 × ( 22) + 85
- 110 + 85
- 25
Simultaneous equations
y=x+2
y=x^2
Answer:
(- 1, 1 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² → (2)
Substitute y = x² into (1)
x² = x + 2 ( subtract x + 2 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )
Decide which type of graph will best represent the fact
that the majority of students like pepperoni pizza.
Answer:
Bar graph
Step-by-step explanation:
Have a good day!
apply appropriate methods in solving rationalequations and inequalities.
Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases
Answer:
pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw
1. Ginger has 31 drinking straws. If each
straw is 7.875 inches long, how long are
the straws altogether?
At the movie theatre, child admission is $5.30 and adult admission is $9.90. On Monday, 164 tickets were sold for a total sales of $1195.80. How many child
tickets were sold that day?
Number of child tickets:
х
$
2
I Don't Know
Submit
© 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use
Answer:
97 child tickets were sold.
Step-by-step explanation:
[tex]x+y=164\\5.30x+9.90y=1195.80\\[/tex]
y=164-x
[tex]5.30x+9.90(164-x)=1195.8[/tex]
[tex]1623.6-4.40x=1195.8[/tex]
[tex]-4.40x=-427.8[/tex]
[tex]x=97.23[/tex]
74ft
24ft
b
What is the length of the missing leg?
Answer: 70
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + b^2 = 74^2
576 + b^2 = 5,476
-576 -576
b^2 =4,900
(square root)
b =70
Least to greatest 0.7 0.25 0.6 0.28
0.25 0.28 0.6 0.7
ignore blah blah blach
Answer:
Least: 0.25
0.28
0.6
Greatest: 0.7
Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?
i need help. it’s due tonight.thank you
Answer:28
Step-by-step explanation:
is x + 8 ≥ 18 a closed or a open circle
Answer:closed
Step-by-step explanation:
Help!!!!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
[tex]m=\frac{-1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -4)
Point (-8, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+4}{-8-0}[/tex]Add/Subtract: [tex]m=\frac{4}{-8}[/tex]Simplify: [tex]m=\frac{-1}{2}[/tex]Every term is
a constant
a variable
an expression
Is 1.6 or 1.25 bigger
what is the equation of the line in slope intercept form
Answer:
y=2/3x
Step-by-step explanation:
Solve for u. 7/6=u+4/8 Simply the answer.
Answer:
plz mark brainliest
Step-by-step explanation:
16/3 or 5 1/3
Answer:
[tex]u=\frac{16}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]
Step 2: Solve for u
Cross-multiply: [tex]7(8)=6(u+4)[/tex]Multiply: [tex]56=6(u+4)[/tex]Distribute 6: [tex]56=6u+24[/tex]Isolate u term: [tex]32=6u[/tex]Isolate u: [tex]\frac{32}{6} =u[/tex]Simplify: [tex]\frac{16}{3} =u[/tex]Rewrite: [tex]u=\frac{16}{3}[/tex]Step 3: Check
Plug in u into the original equation to verify it's a solution.
Substitute in u: [tex]\frac{7}{6} =\frac{\frac{16}{3} +4}{8}[/tex]Add: [tex]\frac{7}{6} =\frac{\frac{28}{3}}{8}[/tex]Divide: [tex]\frac{7}{6} =\frac{7}{6}[/tex]Here we see that 7/6 does indeed equal 7/6.
∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.
A. Car B was 20 miles east of car A
B. Car A was 10 miles east of car B
C. Car B was 10 miles east of car A
D. Car A was 30 miles east of car B
Answer:
D
Step-by-step explanation:
Its D because If one was going 60 and then the second one went 150 on the same road. They both had to start off low and the lowest number closer to those to are 30.
6k ÷ 7 = -3
Solve for k
Answer:
k = -3.5
Step-by-step explanation:
6k ÷ 7 = -3
Multiply 7 to both sides
6k = -21
Divide both sides by 6
6k/6 = -21/6
k = -3.5
To check if the answer is correct or not, you can always plug in -3.5 for k in the equation.
6(-3.5) ÷ 7 = -3
-21 ÷ 7 = -3
-3 = -3
-3 equals -3 so it is correct that k = -3.5
Which graph represents a function?
Answer:
The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
What is the answer to this math problem; -2.4x+3.8x-x
Answer:
0.4x
Step-by-step explanation:
Answer: =0.4x
Step-by-step explanation: hope this help
Let's simplify step-by-step.
−2.4x+3.8x−x
=−2.4x+3.8x+−x
Combine Like Terms:
=−2.4x+3.8x+−x
=(−2.4x+3.8x+−x)
=0.4x
what is 5% of 69.9 plz help me out like if your grade was a 69.9 what will 5% bring down the 69.9 to
Answer: 69.9 - 5 = 64.9
Step-by-step explanation:
Have an awesome day :D
can i get some help on this i am confused!!!
Answer:
st=pq su=rp and for the other ones angle q is 75 degrees so just add 59 and 75 then subtract it from 180 because that's how many degrees is in a triangle and angle s is 59
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
Both triangles are congruent, Hence Angles of both triangle will be equal,
We have got two angles,
LP = 59°, LT = 75°
let the third angle be x
The sum of all angles of a triangle is 180°
So,
59° + 75° + x = 180
x = 46°
a) ST = 8m
b) SU = 7m
c) mLR = 75°
d) mLQ = 46°
e) mLS = 59°
There are 12 pieces of candy in Miguel's Halloween bag. 3 are Reese's, 4 are M&M's, 3 are lollipops and 2 are sour gummy worms. What is the ratio of Reese's to the total number of pieces of candy in the bag and is this a part to part, part to whole or whole to part relationship?
Pick the correct answer
1. 3:12 part to part
2. 12:3 part to part
3. 3:12, part to whole
4. 12:3 part to whole
don’t use this question for points plz!
Answer:
3. 3:12 part to whole
Step-by-step explanation:
because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.