The length of a rectangle is 5 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
Answer:
Length 20
Width 15
Step-by-step explanation:
Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?
help me pls with math
Answer:
d
Step-by-step explanation:
HELP ME OUT PLEASE I RLLY NEED IT ASAP. ):
(a) Slope is rise over run, or change in y over change in x.
1 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4 - -8}{-1 - -5} = \frac{4 + 8}{-1 +5}= \frac{12}{4} =\frac{12}{4}[/tex] )
2 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{1 - 7}{0 - 2} = \frac{-6}{- 2} =\frac{6}{2}[/tex] )
3 -> -1/3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-7 - -3}{6 - -6}= \frac{-7+3}{6+6}=\frac{-4}{12}=-\frac{1}{3}[/tex] )
(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.
1 & 2 -> Parallel
1 & 3 -> Perpendicular
2 & 3 -> Perpendicular
Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!
Have a nice day!
If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
Line 1: slope: 1
Line 2: slope: -3/2
Line 1 and line 2: neither
Line 3 slope: - 1/3
Line 1 and 3: neither
Line 2 and 3: neither
Step-by-step explanation:
Line 1: (-5,-8) and (-1,4)
Slope: (4 - - 8)/(-1 - - 5) = 12/4 = 3
Line 2: (2,7) and (0,10)
Slope: (10 -7)/(0 - 2) = 3/-2 = -3/2
Line 3. ((-6,-3) and (6,-7)
Slope: (-7 - - 3)/(6 - -6)= -4/12= -1/3
4.2 = c/-8.5 + 10.7
A. 55.25
B. -126.65
C. -55.25
D. 126.65
Answer: Number C
Step-by-step explanation:
Solve
1
Find common denominator
4
.
2
=
−
8
.
5
+
1
0
.
7
4.2=\frac{c}{-8.5}+10.7
4.2=−8.5c+10.7
4
.
2
=
2
−
1
7
+
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}
4.2=−172c+−17−17⋅10.7
2
Combine fractions with common denominator
4
.
2
=
2
−
1
7
+
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}
4.2=−172c+−17−17⋅10.7
4
.
2
=
2
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c-17 \cdot 10.7}{-17}
4.2=−172c−17⋅10.7
3
Multiply the numbers
4
.
2
=
2
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c{\color{#c92786}{-17}} \cdot {\color{#c92786}{10.7}}}{-17}
4.2=−172c−17⋅10.7
4
.
2
=
2
−
1
8
1
.
9
−
1
7
4.2=\frac{2c{\color{#c92786}{-181.9}}}{-17}
4.2=−172c−181.9
4
Multiply all terms by the same value to eliminate fraction denominators
4
.
2
=
2
−
1
8
1
.
9
−
1
7
4.2=\frac{2c-181.9}{-17}
4.2=−172c−181.9
−
1
7
⋅
4
.
2
=
−
1
7
⋅
2
−
1
8
1
.
9
−
1
7
-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}
−17⋅4.2=−17⋅−172c−181.9
5
Cancel multiplied terms that are in the denominator
−
1
7
⋅
4
.
2
=
−
1
7
⋅
2
−
1
8
1
.
9
−
1
7
-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}
−17⋅4.2=−17⋅−172c−181.9
−
1
7
⋅
4
.
2
=
2
−
1
8
1
.
9
-17 \cdot 4.2=2c-181.9
−17⋅4.2=2c−181.9
6
Multiply the numbers
−
1
7
⋅
4
.
2
=
2
−
1
8
1
.
9
{\color{#c92786}{-17}} \cdot {\color{#c92786}{4.2}}=2c-181.9
−17⋅4.2=2c−181.9
−
7
1
.
4
=
2
−
1
8
1
.
9
{\color{#c92786}{-71.4}}=2c-181.9
−71.4=2c−181.9
7
Add
1
8
1
.
9
181.9
181.9
to both sides of the equation
−
7
1
.
4
=
2
−
1
8
1
.
9
-71.4=2c-181.9
−71.4=2c−181.9
−
7
1
.
4
+
1
8
1
.
9
=
2
−
1
8
1
.
9
+
1
8
1
.
9
-71.4+{\color{#c92786}{181.9}}=2c-181.9+{\color{#c92786}{181.9}}
−71.4+181.9=2c−181.9+181.9
8
Simplify
Add the numbers
Add the numbers
1
1
0
.
5
=
2
110.5=2c
110.5=2c
9
Divide both sides of the equation by the same term
1
1
0
.
5
=
2
110.5=2c
110.5=2c
1
1
0
.
5
2
=
2
2
\frac{110.5}{{\color{#c92786}{2}}}=\frac{2c}{{\color{#c92786}{2}}}
2110.5=22c
10
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
=
55.25
Answer:
A.55.25
Step-by-step explanation:
4.2 = c/-8.5 + 10.7
4.2 - 10.7 = c/-8.5
-6.5 = c/-8.5
-6.5 . -8.5 = c
55.25 = c
there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds
Answer:
Step-by-step explanation:
The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.
Can someone help me with this I’m not getting it
Answer:
n = 3.5
Step-by-step explanation:
basically it's saying that 2.8 is proportional to 4.8 as n is proportional to 6. therefore:
2.8/4.8 = n/6
0.583 = n/6
3.5 = n
Rachel has a $23,000 six year loan with APR of 7.25%
Answer:6,000 is the answer
Step-by-step explanation:
1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o
어
IN IN NII am |
0
0 0
Answer:
B. One whole number one over two. 1½
What is the range of the graphed function?
O [x1-2
O [yI-2
O {x | x is a real number}
O [vl y is a real number}
Answer:
first one my sister tried itStep-by-step explanation:
Please solve these.
You will get all of my points if you get all of them correct
Answer:
Step-by-step explanation:
1) Area of triangle= 1/2 x b x h
b = 7.6cm h= 3.4cm
Area= 1/2 x 7.6 x3.4 = 12.92cm²
2)Divide the shape into a triangle and a rectangle
Area of rectangle : l x b
L= 20cm, b= 7cm
= 20 x 7 = 140 cm²
Area of triangle =1/2 x b xh
B = 20cm, h= 16 - 7 = 9cm
1/2 x 20x 9= 90cm²
Total area = 140 + 90 = 230cm²
3) area of triangle = 1/2 x b x h
B = 12cm, h= 5cm
= 1/2 x 12 x 5 = 30cm²
4) area of triangle = 1/2 x b x h
B = 15cm, h= 8cm
= 1/2 x 15 x 8 = 60cm²
5) divide the shape into two rectangles; the lower and the upper
Area of rectangle= l x b
Upper rectangle, l= 10cm, b= 27 - 9 = 18cm
Area= 10 x 18= 180cm²
Lower rectangle, l= 24cm, b= 9cm
Area = 24 x 9= 216cm²
180 + 216 = 396cm²
1. The table shows the number of pages a
student reads in various amounts of time.
2. The dou
rate at
Dollars
Time (h)
3
5
9
10
Pages
195
325
585
650
Hours
Tell whether the relationship is a proportional relationship. Ex
Answer:
Please post the chart
Step-by-step explanation:
recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.
Answer:
5 cups of flour need to make two cakes
What is the best estimate for the volume of a jug of milk?
Answer:
3.785 litres
Step-by-step explanation:
help plz 25 pts due i five mins
Answer:
B) <
Step-by-step explanation:
Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.
Hopefully that's helpful! Good luck on your quiz. :)
Steps for 4-6h-8h=60
Answer:
To solve for h, isolate the “h” on one side of the equation.
Combine like terms on the left sides (h). When combing like terms add and subtract as normal and attach the variable.
4-14h=60
Subtract 4 from both sides.
-14h=56
Divide both sides by -14.
h=-4
Hope this helps! :)
Answer:
h = -4.
Step-by-step explanation:
4-6h-8h=60
4-4-6h-8h = 60-4
-14h = 56
h = 56/-14
= -4.
Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd
Answer:
whats
Step-by-step explanation:
[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]
do you think i can pass 7th grade with at least a B i have to make them 80%.
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
I passed 7th grade with a B
The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright
Answer:
It's obtuse.
Step-by-step explanation:
Mumble. Smells al-kashi laws of cosine to me.
[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]
Now, we don't need to calculate the RHSs, and then:
If at least one of the three LHSs is greater than zero, the triangle is obtuse
If at least one is zero, it's a right triangle (pythagorean theorem anyone?)
if all three numbers are less than zero, the triangle is acute
Start crunching numbers.
[tex]139-73-36 = 30[/tex] First try was the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED
can someone please help me! :)
X over 25 equals 35 over 14 solve for the missing variable
Bob's car can go
111 miles on tank
of gas. How far can it
go on a full tank?
PLEASE HURRY
Answer:
296 miles
Step-by-step explanation:
Use a proportion:
111/( 3/8) = x/ 1
Cross Multiply
(3/8)x = 111
Multiply both sides by 8/3 ; reciprocal
x = (8/3) (111)
x = 296 miles
36 pictures for $ or 24 pictures for $5
Answer:
I think it is 24 cus it's more bigger and cooler and hotter and shorter and butter
Which of the following expressions has the greatest value?
Answer:
[tex](0.1)^2[/tex]
Step-by-step explanation:
The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.
Hey there!
Option A.
0.01^4
= 0.01 * 0.01 * 0.01 * 0.01
= 0.0001 * 0.0001
= 0
Option B.
0.1^4
= 0.1 * 0.1 * 0.1 * 0.1
= 0.01 * 0.01
= 0.0001
Option C.
0.01^3
= 0.01 * 0.01 * 0.01
= 0.001 * 0.01
= 0.00001
Option D.
0.1^2
= 0.1 * 0.1
= 0.01
“ 0.01 > 0.0001 > 0.00001 > 0”
Therefore, your answer should be: 0.1^2 (option D)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the stimated difference of 31,523 - 23,589
Answer:
8000 (Estimated) and the real difference would be 7934
Step-by-step explanation:
An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation
Pls answer the questions, I would really appreciate it, thx, :)
Answer:
7V
The average amount of minutes exercised on each day
Step-by-step explanation:
We are given that every day "V" amount of vegetables are eaten everyday.
If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V
E = ( M + W + F ) / 3
M = # of minutes exercised on Monday
W = # of minutes exercised on Wednesday
F = # of minutes exercised on Friday.
Note that to find the average of something you find the sum of the values and divide that by the number of values.
The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
A) no solution
Step-by-step explanation:
These lines are parallel. Which means that they will never intersect, and since the solution to a system of equations is the point or points of intersection, this means there would be no solution to this system.
If the nth term of a number sequence is 5n – 2n, find the first 3 terms and the 10th term.
Answer:
0,3,6, and 30
Step-by-step explanation:
The 5th term of an arithmetic sequence is 30, while the 13th term is 70
Answer:
a = 10
d = 5
Step-by-step explanation:
[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]
a + 4d = 30 ------------------(I)
[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]
a + 12d =70 -------------(II)
Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d
(I) a + 4d = 30
(II)*(-1) -a - 12d = -70 {Now add}
- 8d = - 40
Divide both sides by (-8)
d = -40/-8
d = 5
Plugin d = 5 in equation (I)
a + 4*5 = 30
a + 20 = 30
a = 30 - 20
a = 10
__% of 15 is 6 hellp mee
Answer:
40%
Step-by-step explanation:
6 divided by 15 times 100 = 40
Answer:
40
(40%)
Step-by-step explanation:
6 / 15 = 0.4
0.4 * 100 = 40%
We can check this by doing 40% times 15;
15 * 0.4 = 6 ✓
It checks :D
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather