The perimeter of a rectangle is 24 meters. If the length of the rectangle is 8 meters, what is the width (in meters)?
Answer:
8 meters
Step-by-step explanation:
8 + 8 + 8 + 8 = 24 which is the perimeter, just trust me
Solve each equation for the variable. Show your work and check your solution.
Steps to follow:
Step 1: Distribute First
Step 2: Combine like terms
Step 3: Solve the equation
1. 5x + 4x − 6x = 24 2. 8x + 5 − 4x + 1 = 46
3. 33 = 5(x + 8) + 3 4. 2x + 3(x − 8) = 1
5. x + x − 2x + 4x = −48 6. 2(x + 5) + 3x = 25
7. 60 = 4(x + 3) + 2(x − 3) 8. 47 = 2(x + 3) + 3(x − 3)
9. −2(x + 1.4) − 1.8 = 20.6 10. 8 − 2(x + 4) = 10
11. Tyler told his friend this riddle: “I am thinking of a number. Three times my number plus twice my number is twenty. What number am I thinking of?”
a) Write an equation that models Tyler’s statement.
b) Solve the equation. What number was Tyler thinking of?
Answer:
1. This is a like term
24 = 24
2. This is not a like term
12x - 6 = 46
3. This is not a like term
33 = 5x + 43
4.This is a like term
1 = 1
5. This is not a like term
7x = -48
6. This is a like term
25 = 25
7. This is a like term
60 = 60
8. This is a like term
47 = 47
9.This is a like term
20.6 = 20.6
10.This is a like term
10 = 10
Step-by-step explanation:
1. 5x + 4x − 6x = 24
5x + 4x = 9x
9x - 6x = 24
3x = 24
We can replace x and turn it into an 8.
3(8) = 24
3 x 8 = 24
24 = 24
This is a like term.
2. 8x + 5 − 4x + 1 = 46
8x + 4x - 5 + 1 = 46
8x + 4x = 12x
12x - 5 + 1 = 46
5 + 1 = 6
12x - 6 = 46
We cannot replace the x with any number to get 46.
So this is not a like term.
3. 33 = 5(x + 8) + 3
5xX= 5x
5 x 8 = 40
33 = 5x + 40 + 3
40 + 3 = 43
33 = 5x + 43
We cannot replace any number with x and get 33.
This is not a like term.
4. 2x + 3(x − 8) = 1
3 x X = 3x
3 x 8 = 24
2x + 3x - 24 = 1
2x + 3x = 5x
5x - 24 = 1
We can replace the x with 5.
5(5) - 24 = 1
5 x 5 = 25
25 - 24 = 1
1 = 1
This is a like term
5. x + x − 2x + 4x = −48
x + x = 1x because x is always a 1
1x - 2x +4x = -48
1x + 2x = 3x
4x + 3x = 7x
7x = -48
We cannot replace x with any number.
This is not a like term.
6. 2(x + 5) + 3x = 25
2 x X = 2x
2 x 5 = 10
2x + 10 + 3x = 25
2x + 3x + 10 = 25
2x + 3x = 5x
5x + 10 = 25
We can replace the x with a 3.
5(3) + 10 = 25
5 x 3 = 15
15 + 10 = 25
25 = 25
This is a like term.
7. 60 = 4(x + 3) + 2(x − 3)
4 x X = 4x
4 x 3 = 12
60 = 4x + 12 + 2(x - 3)
2 x X = 2x
2 x 3 = 6
60 = 4x + 12 + 2x - 6
60 = 4x +2x +12 - 6
4x - 2x = 2x
60 = 2x + 12 - 6
12 - 6 = 6
60 = 2x + 6
We can replace the x with a 33.
60 = 2(33) - 6
2 x 33 = 66
66 - 6 = 60
60 = 60
This is a like term.
8. 47 = 2(x + 3) + 3(x − 3)
2 x X = 2x
2 x 3 = 6
47 = 2x + 6 + 3(x - 3)
3 x X = 3x
3 x 3 = 9
47 = 2x + 6 + 3x - 9
47 = 2x + 3x + 6 - 9
2x + 3x = 5x
47 = 5x + 6 - 9
6 - 9 = -3
47 = 5x + -3
We can replace the x with a 10.
47 = 5(10) + -3
5 x 10 = 50
47 = 50 + -3
50 + -3 = 47
47 = 47
This is a like term.
9. −2(x + 1.4) − 1.8 = 20.6
-2 x X = -2x
-2 x 1.4 = -2.8
-2x + -2.8 - 1.8 = 20.6
-2.8 - 1.8 = -4.6
-2x + -4.6 = 20.6
We can replace x with a 8.
-2(8) + -4.6 = 20.6
-2 x 8 = -16
-16 + -4.6 = 20.6
20.6 = 20.6
This is a like term.
10. 8 − 2(x + 4) = 10
2 x X = 2x
2 x 4 = 8
8 - 2x + 8 = 10
8 - 8 + 2x = 10
8 - 8 = 0
0 + 2x = 10
We can replace x with 5.
0 + 2(5) = 10
2 x 5 = 10
0 + 10 = 10
10 = 10
This is a like term.
I hope this helped. I am sorry if you get this wrong. Have a wonderful day.
can somebody pleaase answer for me
How many 20p coins would you need to make £10?
Answer:
50 20p coins is needed to make 10 pounds
whats 1 + 1? (P.S this is just a joke)
Solve and choose the answer in its simplest form. 3/4 ÷ 2/3 = ?
Rihanna deposited $20.00 in her school cafeteria account. In one week she spent $16.75 on lunches. If the starting balance on her account was – $12.65, what transaction does Rihanna need to make to bring her cafeteria account to zero?
Answer:
she has to add 9.40
Step-by-step explanation:
-12.65 + 20.00 - 16.75 = -9.40
plz mark brainliest also plz try to answer my question
Say you own 5,715 shares of Sanden Research Labs, each of which pays a yearly dividend of $14.66. How much do you receive in dividends every year? a. $83,781.90 b. $81,729.50 c. $75,865.50 d. $93,954.60
Answer:
$83,781.90
Step-by-step explanation:
Dividend received each year is $83781.9
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Number of shares= 5715
Yearly dividend of each share= $14.66
Now,
Total dividend of all shares
=5715*14.66
=83781.9
Therefore, by algebra the dividend will be $83781.9
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ6
how to find sample variance with these numbers?
4364
4459
4740
4510
4509
4666
4946
4499
4857
4022
3841
4230
Answer:
s2 = 105174.93
Step-by-step explanation:
s2=∑ni=1(xi−x¯)^2 / n−1
which of the following statements is true, based on the graph
eye color vs. favorite color
Most of the bars are pretty close to each other.
The answer would be the first choice.
Evaluate 4xy+7y-9x+21-3x^2 when x=2 and y=-1 pour answer
Answer:
-24?
Step-by-step explanation:
4xy + 7y - 9x + 21 - 3x^2
4(2)(-1) + 7(-1) - 9(2) + 21 - 3(2)^2
-8 - 7 - 18 + 21 - 12
- 24
(3.2 x 104)x(1.4 x 102)
Answer:
47523.84
Step-by-step explanation:
A common abuse of bar graphs is
Answer:
A common abuse of bar graphs is to. replace bars by pictures and increase both height and width as the variable plotted increases. If a bar graph is to be accurate, it is essential that. the bars all have the same width.
how to break 2/5 in a fraction.
Answer:so it is 0.4 or 40% and it is hard to explain
Step-by-step explanation:
a
Positive
b
Undefined
c
Negative
d
Zero
the diagram shows the graph of the function y=(x-r)²+4, where r is a constant.
a) find the value of r
Answer:
d
Step-by-step explanation:
solve for x
2 1/2x−3/4(2x+5)=3/8
Answer:
x = 33/8
Step-by-step explanation:
Answer:
x = 33/8
Step-by-step explanation:
I agree with the other person.
2 divided by 3
In a fraction please
Answer: 2/3
The slash means division, and it also means a fraction, as they are effectively one in the same.
2/3 = 0.667 approximately after using a calculator
Mrs B and Ms R plan to walk 3.75 miles to and from school every day for an entire year. If they meet their goal how many miles will they walk?
3.75 X 365 = X
or
3.75 X 366=x
or
3.75 X 180=x
I dont know what equation to use.
Scientists found two whales that have a combined weight of 8.4 x 105 pounds. Write this weight in standard notation.
Answer:
Step-by-step explanation:
8.4 * 10⁵ = 8.4 * 100000
= 840000.0
= 840,000
Answer:
hi
Step-by-step explanation:
8.4 * 10⁵ = 8.4 * 100000
= 840000.0
= 840,000
Andre brought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was brought.
Can a tutor help me please
can someone please help within 30 minutes :)
Answer: D
Step-by-step explanation:
It's 113 bc 180-67=113 and it's consecutive bc they are on the same side and right next to each other
Answer:
hellooo…
I think one of two options
C or D
The microwave oven was invented in 1945 when some experiments with radar equipment failed and melted some nearby chocolate instead. The scientists realized there were other applications for this energy sirve. What is this an example of?
A. Creative thinking
B. Scientific method
C. Scientific law
D. Artistic ability
Answer:
It is an example of Scientific Law
Option C is correct...
Mark me as Brainliest if it was helpful
I’ll mark Brainly! Which numerical equation could be used to describe the diagram?
A) −2 + 6 = 4
B) 4 + (−6) = −2
C) −2 + (−6) = −8
D) −6 + (−2) = −8
Write 2 x 10^-5
in standard notation.
someone help... please :/
Answer:
-1/4
Step-by-step explanation:
Please help! Need ASAP
Find a linear inequality with the following solution set. Each grid line represents one unit.
[asy]
size(200);
fill((-5,-3)--(5,2)--(5,5)--(-5,5)--cycle,yellow);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=black+1.3bp;
real vectorarrowsize=0.2cm;
real tickdown=-0.5;
real tickdownlength=-0.15inch;
real tickdownbase=0.3;
real wholetickdown=tickdown;
void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) {
import graph;
real i;
if(complexplane) {
label("$\textnormal{Re}$",(xright,0),SE);
label("$\textnormal{Im}$",(0,ytop),NW);
} else {
label("$x$",(xright+0.4,-0.5));
label("$y$",(-0.5,ytop+0.2));
}
ylimits(ybottom,ytop);
xlimits( xleft, xright);
real[] TicksArrx,TicksArry;
for(i=xleft+xstep; i0.1) {
TicksArrx.push(i);
}
}
for(i=ybottom+ystep; i0.1) {
TicksArry.push(i);
}
}
if(usegrid) {
xaxis(BottomTop(extend=false), Ticks("%", TicksArrx ,pTick=gray(0.1),extend=true),p=invisible);//,above=true);
yaxis(LeftRight(extend=false),Ticks("%", TicksArry ,pTick=gray(0.1),extend=true), p=invisible);//,Arrows);
}
if(useticks) {
xequals(0, ymin=ybottom, ymax=ytop, p=black, Ticks("%",TicksArry , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
yequals(0, xmin=xleft, xmax=xright, p=black, Ticks("%",TicksArrx , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
} else {
xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, Arrows(size=axisarrowsize));
yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, Arrows(size=axisarrowsize));
}
};
draw((-5,-3)--(5,2),dashed+red, Arrows(size=axisarrowsize));
rr_cartesian_axes(-5,5,-5,5);
for( int i = -4; i 0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1.)
Answer:
nobody gonna answer this for 5 points. you have to put 1 question for each 5 points
If y = –7 and z = –3, what is –y + z?
Answer:
4
Step-by-step explanation:
-(-)7+-3
7+(-)3
The answer is 4
please hurry i need this fast
This triangle is congruent under the ASA congruence postulate as the two corresponding parts of this triangle which are angles are equal and there is one equal side . The equal side is the common side of both these triangles .