Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-2(x - 4) = -16
Step 2: Solve for x
Distribute -2: -2x + 8 = -16Isolate x term: -2x = -24Isolate x: x = 12Step 3: Check
Plug in x to verify it's a solution.
Substitute: -2(12 - 4) = -16Subtract: -2(8) = -16Multiply: -16 = -16Here we see that -16 does indeed equal -16.
∴ x = 12 is a solution of the equation.
Hector's family went to the beach. They got to the beach at 11:00 A.M. and swam in the ocean for 1 hour. Then they built sandcastles for 1 hour and 30 minutes and played volleyball for 1 hour before heading home. What time was it when Hector's family left the beach?
Answer:
They left the beach at 2:30
Step-by-step explanation:
An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step. (5 points)
Three classes of 26 students each sign up for a field day. Teams can have no more
than 9 students. How many teams are full? How many students are on the last team?
Answer:
2 teams are full and the last team has 8 members
Step-by-step explanation:
Simple subtraction 26-9=17 so theres one team, then 17 minus 9 is 8 so there is another team so the awnser is 2 and 8/9
Pick A Random Number Between 1-40 if i pick your number and you get it right then you get brainliest.
Answer:
32
Step-by-step explanation:
Your school district cancels school when at least 3 inches of snow accumulate on the ground each hour. Snow is currently accumulating at a rate of 3/2 inches per hour. Select an inequality that represents the extra snow accumulation s (in inches per hour) needed to cancel school.
Answer:
x > 2
Step-by-step explanation:
x is the hours of accumulation.
3/2 *2 = 3
Gurl this is 6th grade math and I’m still dumb Enough to not know it
Answer:
false, false, true
Step-by-step explanation:
0 times anything is always 0. 7 with an exponent of 3 is never 7*3, it's 7*7*7. for the last one, 2*2*2*2 is 16 and so is 4*4. lol im pretty dumb too tbh
Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo. Find how much money each get
Equations:
A + T = 735 naira
A = T + 95
A + T = 735
A - T = 95
Add and solve for A:
2A = 830
A = 415 naira
T = 735-415 = 320
Abiodun and Taiwo got 415 & 320 naira , respectively.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo.
now, we get
A + T = 735 naira
A = T + 95
A + T = 735
A - T = 95
Add and solve for A:
2A = 830
A = 415 naira
T = 735-415 = 320naira
Hence, Abiodun and Taiwo got 415 & 320 naira , respectively.
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100 pointsssss!!
what are the pointsss???? Graph the function.
f(x)=−15x+4
Answer:
Step-by-step explanation:
I'd suggest you find the two intercepts and draw a line through them.
y-intercept: value of y when x = 0. Here, f(0) = -15(0) + 4, so the y intercept is the point (0, 4).
x-intercept: value of x when y = 0. Letting f(x) = y = 0, we get
0 = -15x + 4, so that 15x = 4, and x = 4/15. The x-intercept is (4/15, 0).
Plot the points (0, 4) and (4/15, 0) and draw a line thru them.
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4?
Step-by-step explanation:
let the equation be y - y1 = 3/4(x - x1)
sub (4, 1/3):
y - 1/3 = 3/4(x - 4)
therefore answer is option 2.
Topic: coordinate geometry
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Answer:
[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)[/tex]
Step-by-step explanation:
To see which equations have the slope of 3/4, we just need to focus on the right half of the equations to see what the multiplier of x is.
Equations 1 and 3 can be eliminated because they have a slope of [tex]\frac{1}{3}[/tex] and 4 respectively.
Now we can decide between 2 and 4 by plugging in the point [tex](4,\frac{1}{3})[/tex] to see which works properly.
Simplify equation 2
[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)\\\\y-\frac{1}{3} =\frac{3}{4}x-3\\\\y=\frac{3}{4}x-\frac{8}{3}[/tex]
Plug in the point
[tex]\frac{1}{3} =\frac{3}{4}(4)-\frac{8}{3} \\ \\\frac{1}{3} =3-\frac{8}{3} \\\\\frac{1}{3} =\frac{9}{3} -\frac{8}{3} \\\\\frac{1}{3} = \frac{1}{3}[/tex]
This checks out, so equation 2 is your answer.
"-3 = 9/5c + 32" help with finding c pls!! i need it as a decimal btw.
Answer:
-3=9/5c +32
-3*5c=9/5c*5c+32*5c
-15c=9+160c
-15c -160c =9
c(-15-160)=9
c(-15-160)/(-15-160)=9/(-15-160)
c=9/(-15-160)
GIVING BRAINLYYY write the equation of this line
I need help, fast- please-
Answer:
since she subtracted 15 5 time a total of 5 rafts are needed
Step-by-step explanation:
What’s that answer for
9xr -8
80
144+ 18x=360
..............................
3x - 2y + 5z = 2
4x - 7y - z = 19
5x - 6y + 4z =13
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, , to the number of hours flying, , is . How long will it take the airplane to travel 800 miles?
Complete question :
On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6 hours
Step-by-step explanation:
Given the function :
Time t taken for flying distance d is given by:
t = 1/500 * d
Tine taken to fly 800 miles;
d = 800 miles
t = 1/500 * (800)
t = 800 / 500
t = 1.6
Hence, time t = 1.6 hours
PLEASE HELP ME ASAP!!
PLZ Someone help
Find the measure of angles 3 and 4
Answer: 3 =92
4 = 88
Step-by-step explanation: because angle 4 = 180-42+46 = 92 and angle 3 is 180-92 = 88
Answer:
∠3=88 , ∠4=92
Step-by-step explanation:
∠4 + 42° + 46° = 180° (angle sum property of a triangle)
∠4 + 88° = 180°
∠4 = 180° - 88°
∠4 = 92
∠3 + ∠4 = 180° (linear pair)
∠3 + 92° = 180°
∠3 = 180° - 92°
∠3 = 88°
The slope of the line that passes through the points (9, 11) and (3,6) is what
The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The two points are (9, 11) and (3, 6).
The equation of the line that passes through (9, 11) and (3, 6) will be given as,
(y - 6) = [(11 - 6) / (9 - 3)](x - 3)
y - 6 = (5/6)(x - 3)
y - 6 = (5/6)x - 5/2
y = (5/6)x + 7/2
The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.
More about the linear equation link is given below.
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how many terms of the AP: 24,21,18 must be taken so that thier sum is 78?
Find the value of that makes m ll n.
Answer: x = 108
Step-by-step explanation: In this problem, we're given a diagram and
we're asked to find the value of x that would make m ll n.
We can see that the angles that are marked in the diagram
are same-side interior angles since they lie on the same side
of the transversal and they lie on the interior of lines m and n.
Therefore, in order for line m to be parallel to line n,
these angles must be supplementary.
In other words, they must add to 180 degrees.
So we can setup the equation x + 72 = 180.
Subtracting 72 from both sides gives us x = 108.
So the value of x that would make line m ll n is 108.
Two friends went to Best Buy and bought Pokemon cards and baseball cards. Each Pokemon card was the same price and each baseball card was the same price. The first friend paid $12 for 14 pokemon cards and 5 baseball cards. The second friend paid $24.80 for 10 pokemon cards and 15 baseball cards. What was the cost of each baseball card?
A.
$1.42
B.
$0.35
C.
$ 1.15
D.
$0.63
Points X and Z are on a number line, and point Y partitions
line XZ into two parts so that the ratio of the length of line
segment XY to the length of line segment YZ is 5:7. The
coordinate of X is 0.4, and the coordinate of Y is 5.8. What
is the coordinate of Z?
Answer:
The coordinate of [tex]Z[/tex] is 13.36.
Step-by-step explanation:
According to the statement, we have the following information:
[tex]\frac{XY}{XZ} = \frac{5}{12}[/tex] (1)
[tex]\frac{YZ}{XZ} = \frac{7}{12}[/tex] (2)
[tex]X = 0.4[/tex] (3)
[tex]Y = 5.8[/tex] (4)
From (2), we have the following expression:
[tex]YZ = \frac{7}{12}\cdot XZ[/tex]
[tex]Y-Z =\frac{7}{12}\cdot (X-Z)[/tex]
[tex]Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z[/tex]
[tex]Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z[/tex]
[tex]\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X[/tex]
[tex]5\cdot Z = 12\cdot Y-7\cdot X[/tex]
[tex]Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X[/tex] (5)
If we know that [tex]Y = 5.8[/tex] and [tex]X = 0.4[/tex], then the coordinate of [tex]Z[/tex] is:
[tex]Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)[/tex]
[tex]Z = 13.36[/tex]
The coordinate of [tex]Z[/tex] is 13.36.
Now that you have had a chance to read excerpts from Anne Frank’s diary and the play version of it, which do you prefer? Why?
Answer:
Reading it because you could really imagine and get the feel of it inside your head and almost feel like you are here
Step-by-step explanation:
I would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.
Who is Anne frank?Annelies Marie "Anne" Frank was a German-born Jewish girl who kept a diary in which she documented life in hiding under Nazi persecution. She is a celebrated diarist who described everyday life from her family hiding place in an Amsterdam attic.
Given are excerpts from Anne Frank's diary and play version.
I would prefer the play version of excerpts from Anne Frank's Diary as watching a play is better than reading because the characters come to life, as does the way they relate to and interact with each other.
Therefore, i would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.
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Total element of a set for Consideration as called____
(a) Sub-set
(b) Intersection
(c) Universal set
(d) Disjoint set
Answer:
Universal set
Step-by-step explanation:
A universal set is a set which contains all the elements or objects of other sets, including its own elements. It is usually denoted by the symbol 'U'. Therefore, Set U has all the elements of Set A and Set B. ...
Rewrite x^2+16x-36 in factored form
A rectangle has a length of 31 inches less than 3 times its width. If the area of the rectangle is 984 square inches, find the length of the rectangle.
Answer:
41 inches
Step-by-step explanation:
The formula for Area of a rectangle is ;
A = L × W
L = Length
W = Width
A rectangle has a length of 31 inches less than 3 times its width.
L = 3W - 31
If the area of the rectangle is 984 square inches, find the length of the rectangle
Hence,
984 = (3W - 31) × W
984 = 3W² - 31W
Hence
3W² - 31W - 984
3W(W - 24) + 4(W - 24) = 0
(3W + 41)(W - 24) = 0
W - 24 = 0
W = 24 inches
We have to find the Length
L = 3W - 31
L = 3(24) - 31
L = 72 - 31
L = 41 inches
The Length = 41 inches
The Length of the rectangle is 41 inches
I need help with 14. you have to simplify the expression and then your answer will reveal a letter on the right hand side
Answer:14 is H
Step-by-step explanation:
Answer:
3x+21 (H)
Step-by-step explanation:
9-3(3x-4)+12x
9-(9x-12)+12x
9-9x+12+12x
(9+12)+(-9x+12x)
21+3x or 3x+21
Multiply mixed numbers 5 times 1 3/4=
Answer: 8.75 is your answer
Answer:
8 3/4
Step-by-step explanation:
Your school wants to test the fire alarm system during the two hour period between 9:00 a.M. And 11:00 a.M. The probability of testing the fire alarm during this period is uniformly distributed that is X∼U(0,120). Find the probability that you have to wait more than 30 minutes, that is, find P(X>30).
Answer:
The probability is [tex]P(X>30)=0.75[/tex]
Step-by-step explanation:
We know that the probability of testing the fire alarm during this period is uniformly distributed that is [tex]X[/tex] ~ [tex]U(0,120)[/tex].
We need to find [tex]P(X>30)[/tex]
Given a continuous random variable [tex]X[/tex] with distribution :
[tex]X[/tex] ~ [tex]U(a,b)[/tex] , where ''[tex]a[/tex]'' and ''[tex]b[/tex]'' are real numbers
The probability density function is :
[tex]f_{X}(x)=\frac{1}{b-a}[/tex] if x ∈ (a,b)
[tex]f_{X}(x)=0[/tex] if x ∉ (a,b)
In the exercise we have [tex]X[/tex] ~ [tex]U(0,120)[/tex] , therefore the probability density function is :
[tex]f_{X}(x)=\frac{1}{120}[/tex] if x ∈ (0,120)
[tex]f_{X}(x)=0[/tex] if x ∉ (0,120)
If we want to find [tex]P(X>30)[/tex] we need to perform the integral
[tex]\int\limits^i_d {f_{X}(x)} \, dx[/tex]
Where [tex]d=30[/tex] and ''[tex]i[/tex]'' represents + ∞
Now, given that [tex]f_{X}(x)[/tex] is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.
If we perform this integral ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx[/tex]
Where [tex]d=30[/tex] and [tex]e=120[/tex] ⇒
[tex]\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75[/tex]
The NBA regulations require that the court be 132 feet long. If 1 meter = 3.3 feet, how long is the basketball court in meters?