Explain why the equations X - 13 = 4 and 13 - X = 4 do NOT have the same solution.
Answer:
they have different answers
Step-by-step explanation:
X - 13 = 4 and 13 - X = 4
for x- 13 = 4
x=4+13=17
x=17
for 13 - x = 4
13-4-x=0
9-x=0
9=x
x=9
PLEASE HELP
what is 30th term of -12, -3, 6, 15
Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is arithmetic (a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form [tex]9n+c[/tex], where [tex]n[/tex] is the term number and [tex]c[/tex] is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that[tex]9(1) + c = -12[/tex] and hence [tex]c=-21[/tex]. Therefore, the 30th term of the sequence is [tex]9(30) - 21 = 249[/tex].
A 40-foot ladder is used to reach the top of a 24-foot wall. If the ladder extends 10 feet past the top of the wall, find the
measure of the angle that the ladder forms with the horizontal ground. Answer to the nearest degree
Answer:
53
Step-by-step explanation:
24+30= 54 which is about 53, so the answer would be 53.
Answer:
53
Step-by-step explanation:
The sin of a = opposite over hypotenuse.
sin(a)=24/30
sin(a)=0.8
a=The inverse sin of 0.8
a=53.13
10. Which ordered pair (x, y) is a solution of 3x +4y = 12?
A (-2, 4)
B (0, -3)
C (1,2)
D (4,0)
Answer:
C. (1, 2)
Step-by-step explanation:
3x + 4y = 12
3(1) + 4(2) = 12
3 + 8 = 12
12 = 12
Amy is x years old. Jennifer is 5 years older than Amy. Their father is 4 times as old as Jennifer. Write an expression to represent the fathers age. Then write an expression to represent the sum of their ages. Make sure your final expresson is simplifed.
Answer:
Refer to explanation below^
Step-by-step explanation:
Amy = x
Jennifer = x + 5
Father = x + 5 x 4 = 4x + 5
Total = 4x + 5 + x + 5 + x = 6x + 10
[tex]2 \sqrt{2} [/tex]
A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
Can someone please help
Step-by-step explanation:
step 1. 6x - 30 = 2(x + 33)
step 2. 6x - 30 = 2x + 66
step 3. 4x = 96
step 4. x = 24.
step 5. mNMO = x + 33 = 24 + 33 = 57°.
3.
The students in a class were surveyed to find out how many people live in their households.
The results of the survey are shown in the dot plot below.
Number of People in Household
What percent of the class has a household of 7 or 8 people?
Answer:
it is number 4
Step-by-step explanation:
You can rent a car for $45 per day plus $0.75 per mile. (This includes taxes.) If you have $120 to spend, find the number of miles you can drive.
4) James Madison was born on March
16, 1751. John F. Kennedy was born on
May 29, 1917. If they were both still
alive today, how much older would
James Madison be than John F.
Kennedy?
Answer:
166 years older.
Step-by-step explanation: Subtract 1751 from 1917
please help! (URGENT)
Answer:
X = 5
Step-by-step explanation:
Is this relation a function (1,3)
(1, 20)
(9, 4)
Since x=1 produces y=3 and y=20, the relation (1,3),(1,20),(9,4) is not a function.
The relation is not a function.
kaylie swims 1500m every monday,,wednesday, friday, and saturday. Sunday, she swims 1800m. how much km does she swim each week?
Answer:
If she swims everyday but tuesday and sunday she would had swim 6000m a week But if you going to count sunday she swims, 7800m a week.
Step-by-step explanation:
Start off with 1500m.
Since it's monday, wednesday, friday and saturday it would be
1500x4
Which equals 6000. If you want to add sunday into it just take the 6000 and add 1800 and you will get
7800.
Solve the given equation for x.
6 + x = C
Answer:
x=c-6
Step-by-step explanation:
6+x=c
-6 -6
x=c-6
A circle has a radius of 15 inches. What is the
circumference of the circle?
Answer:
The circumference of the circle is approximately 94 inches.
Step-by-step explanation:
C=2(pi)r
C=2(pi)15
C=30(pi)
C=94.24
Rounded Answer: 94 inches
Express the terms of the following sequence by giving an explicit formula.
9, 12 15, 18, 21
A. u(n) = n + 3, where n = 1, 2, 3, 4, . . .
B. u(n) = 6 + 3n, where n = 1, 2, 3, 4, . . .
C. u(n) = 3 + n, where n = 1, 2, 3, 4 . . .
D. u(n) = 3n, where n = 1, 2, 3, 4, . . .
Answer:
B.
Step-by-step explanation:
The common difference is + 3 so we have an arithmetic sequence.
u(n) = a1 + d(n - 1)
= 9 + 3(n - 1)
= 9 + 3n - 3
= 6 + 3n.
In a triangle, the second angle measures twice the first. The measure of the third angle is 24 degrees more than the first. Find the measures of the three angles.
Carol bought 8 mangoes for N160.00 and sold each one for N25.00.what was his percentage gain?
Answer:
20%
Step-by-step explanation:
8 × 25 = 200
200 × 20% = 160
27 points! please help me if you can <3 and yes I have been working on this for almost 4 hours
Answer:
330 milkshakes
Step-by-step explanation:
240 divided by 8 = 90
90 = number of large milkshakes
240 + 90 = 330
a - (9b - 13b) =
a = 12, b = -2
I'm- sorry
Answer:
4
Step-by-step explanation:
What is the equation?
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?
Answer:
6 cards
Step-by-step explanation:
8 × 6 = 48
You can't have 1/4 of a baseball card. So the answer is 6 cards.
If 4 points are Collinear, they are also coplanar
Answer:
that is true
Step-by-step explanation:
If the point (-5, -4) is reflected across the x-axis, what are the coordinates of the new point?
Answer:
(-5, 4)
Step-by-step explanation:
Recall that in a reflection across the x-axis the x coordinate stays the same, while the y coordinate flips its sign.
Therefore
(-5, -4) converts under reflection into (-5, 4)
It takes Emmanuel 20 minutes to walk to school. It takes Liah 80% as long to walk to school. How long does it take Liaqh to walk to school? Show your work, then put your answer in the text box.
Answer:
16 minutes
Step-by-step explanation:
80% of 20 is
80/100 * 20 = 16
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is the length of the pen, in feet?
Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
Graph x < or = to -4.5 on the number line
HELP ME PLS ASAP PLS PLZ PLS HELP
Answer:
it would be a closed circle and to the right
Step-by-step explanation:
I have a little tip whenever the greater or less than sign is underlined it will always be closed, and when x is greater than -4.5 all the numbers that are greater than -4.5 will be on the right side so that will be your answer.
Select the correct answer from each drop-down menu.
ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.
The length of side AB is____ units. The length of side BC is ____ units. The length of side AC is ____ units . <ABC=___
Answer:
The length of side AB is
(50)^1/2
units. The length of side BC is
(65)^1/2
units. The length of side AC is
(145)^1/2
units. ∠ABC ≈
105.26°.
calculate the quotient of 286 and 11
The quotient for 286 and 11 is 26.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
286 ÷ 11
This can be written as,
11 ) 286 ( 26
286
0
This means,
The quotient is 26.
Thus,
The quotient is 26.
Learn more about expressions here:
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