Answer:
12, 20
Step-by-step explanation:
Let the two numbers be x and y, where x > y
According to the given information:
x + y = 4(x - y)
x + y = 4x - 4y
y + 4y = 4x - x
5y = 3x
[tex] y = \frac{3}{5}x.... (1)[/tex]
Since, one number exceeds the other by 8.
[tex] \implies x = y + 8\\\\
\implies y = x - 8.....(2)\\\\[/tex]
From equations (1) & (2)
[tex]x - 8 = \frac{3}{5} x \\ \\ 5(x - 8) = 3x \\ \\ 5x - 40 = 3x \\ \\ 5x - 3x = 40 \\ \\ 2x = 40 \\ \\ x = \frac{40}{2} \\ \\ \huge \purple{ \boxed{\implies x = 20}} \\ \\ \implies \: y = x - 8 = 20 - 8 \\ \\ \huge \pink{ \boxed{ \implies \: y = 12}}[/tex]
If you earn $48 in 4 hours. What is the unit rate per hour?
Answer:
$12
Step-by-step explanation:
When evaluating (3.25 times 10 Superscript 5 Baseline) (1.82 times 10 Superscript 3 Baseline), what will be the exponent of 10 in the product?
Answer:
What is (3.1 times 10 Superscript 5 Baseline) (2.2 times 10 Superscript 7 Baseline) in scientific notation?
5.5 times 10 Superscript 12
6.82 times 10 Superscript 12
5.5 times 10 Superscript 35
6.82 times 10 Superscript 35
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
I took the test (:
Logan and Nathan are shelving books at a public library. Logan shelves 5 books at a time, whereas Nathan shelves 6 books at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved?
Answer:
30
Step-by-step explanation:
Given that
Logan shelves 5 books and
Nathan shelves 6 books
They end shelving the same number of books.
To find:
Smallest number of books each could have shelved?
Solution:
First of all, let us have a look at the definition of Least Common Multiple(LCM) of two numbers.
Least Common Multiple (LCM) of two numbers is the minimum number which is divisible by both the numbers.
Now, looking at the statement of the given question.
We have to find the LCM of both the numbers actually.
Making factors of the numbers:
[tex]5=5\times 1[/tex]
[tex]6=2\times 3[/tex]
Nothing is common here, therefore the LCM is [tex]5\times 6 =\bold{30}[/tex].
Smallest number of books shelved = 30
Given the points (20,8) and (10,15) find the slope of the line that goes through them.
Answer:
-7/10
Step-by-step explanation:
You can find the slope by using this formula: [tex]\frac{y-y}{x-x} \\[/tex] (rise over run!)
If you plug in the numbers, it looks like this: [tex]\frac{8-15}{20-10} \\[/tex]
Which simplifies to [tex]-\frac{7}{10}[/tex]
Help? This 9th grade math
Answer:
17*
Step-by-step explanation:
180*-163*=17*
Manuel wants to go snowboarding with his friends. The closest ski and snowboard resort is approximately 20 miles west and 50 miles north from his house. Manuel picks up his friend who lives 15 miles south and 10 miles east of Manuel's house. How far are the two boys from the resort
Answer:
Step-by-step explanation:
First we need to calculate the displacement of the resort from Manuel's house using Pythagoras theorem.
S1 = √50²+20²
S1 = √2500+400
S1 = √2900
S1 = 53.85m
Next is to calculate the displacement of Manuel's friend house to Manuel's house.
S2 = √15²+10²
S2 = √225+100
S2 = √325
S2 = 18.03m
The displacement of the two boys from the resort will be ∆S = S2-S1
∆S = 53.84-18.03
∆S = 35.81m
what did the cowboy say when he fell of his horse
Answer:
I have fallen and I can’t giddy up!
Step-by-step explanation:
Solve:
2(x - 1)2 + 7 = 39
Please help!!
Answer:
X=16
Step-by-step explanation:
2x-2+9=39
2x +7=39
2x=39-7
2x=32
Divide by 2
X=16
If f(x) = -3x - 9, what is the value of f(6)?
Answer:
-27
Step-by-step explanation:
if f(6) you plug it into x
-3(6)-9
-18-9
-27
find the perimeter & area of the rectangle
Answer:
Perimeter = [tex]34\sqrt{2}[/tex] feet
Area = 60 feet²
Step-by-step explanation:
Let us revise the rules of perimeter and area of a rectangle
Perimeter = 2(Length + width)Area = Length × Width→ From the given figure
∵ The length = [tex]\sqrt{8}[/tex] feet
∵ The width = 5[tex]\sqrt{18}[/tex] feet
→ Simplify the roots
∵ [tex]\sqrt{8}=\sqrt{(2)(2)(2)}[/tex]
∴ [tex]\sqrt{8}=2\sqrt{2}[/tex]
∴ The length = [tex]2\sqrt{2}[/tex] feet
∵ [tex]5\sqrt{18}=5\sqrt{(3)(3)(2)}[/tex]
∴ [tex]5\sqrt{18}=5(3)\sqrt{2}=15\sqrt{2}[/tex]
∴ The width = [tex]15\sqrt{2}[/tex] feet
→ Perimeter = 2(Length + width)
∵ Perimeter = [tex]2[2\sqrt{2}+15\sqrt{2}][/tex]
∴ Perimeter = [tex]2[17\sqrt{2}][/tex]
∴ Perimeter = [tex]34\sqrt{2}[/tex] feet
→ Area = Length × Width
∵ Area = [tex]2\sqrt{2}[/tex] × [tex]15\sqrt{2}[/tex]
∴ Area = [tex](2)(15)(\sqrt{2})(\sqrt{2})=(30)(2)=60[/tex]
∴ Area = 60 feet²
Solve for x: 2 over 3 (x − 4) = 2x
Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours?
Answer:
448 miles
Step-by-step explanation:
If 5 hours = 320 miles
then 7 hours = ?
7 hours will give more so if more less divide
7hours ÷5hours × 320 miles
hours will cancel out
= 7÷5×320 miles
= 448 miles
Hence,Carla will travel 448 miles in 7 hours
samuel read 8 books in 10 months. what is his rate of reading in books per month
Answer:
1.25
Step-by-step explanation:
What is the value of y? O A. 10° O B. 55 O C. 110° O D. 85°
Answer:
55
Step-by-step explanation:
40+y+30+y=180
40+2y+30=180
70+2y=180
2y=110
y=55
Checking: 55+40+(55+30) = 55+40+55+30 = 180
Is there anyone who can do my homework for me Its 30 questions
I'm really busy with life this is why I ask if you can please friend me I also need the work
5 · (2 · 7) = (2-7) - 5
What property does this show?
what is (5.6*10^6)-340,000
Answer:
5260000
Step-by-step explanation:
what is the answer for 5-(-8)-(-2)?
The steps to convert 18 over 8 to a decimal are shown below: Division is shown with divisor 8 and quotient 2.35 and dividend 18. The numbers below 18 in sequence are subtract 16 labeled as Step 1, 20, subtract 16 labeled as Step 2, 40 labeled as Step 3, subtract 40, and 0 labeled as Step 4. In what step is the first error?
Answer:
Step 2
18 over 8 to a decimal is 2.25
Step-by-step explanation:
Step 1, 20, subtract 16 labeled as
Step 2, 40 labeled as
Step 3, subtract 40, and 0 labeled as Step 4.
Divisor = 8
Divided = 18
Quotient = 2.25
2.25
8 √18
- 16
2 0
- 16
4 0
- 40
0
The first error is at step 2
18 over 8 to a decimal is 2.25
See the attached image for better understanding
Answer:
step 2
Step-by-step explanation:
Can someone please help me with these questions?
Answer:
1) 57°
2) 142°
3) 92°
4) 125°
5) 111°
6) 90°
Step-by-step explanation:
Assuming the 2 lines that look parallel in all of these problems, are actually parallel...
m<1 = 57° They are the same angle
m<HJK = 142° (again, same angle)
m<ABC = (4x = 3x + 23) solve for x
x = 23, then substitute 23 for x
4(23) = 92°
m<MPQ = (3x + 50 = 5x). solve for x
x = 25, then substitute 25 for x
3(25) + 50 = 125°
m<3 = 111° They are the same angle
m<4 = 90° If one angle is 90° where the lines cross, all of the angles are 90°
what is the intersection between the lines 2y + 3x = 5 and 4x + 5y= 11?
Answer:
3/7 & 13/7
Step-by-step explanation:
The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of each angle
Step-by-step explanation:
Since, the angles of the quadrilateral are in the ratio 1:2:3:4
Therefore, let their measures be x, 2x, 3x and 4x
By angle sum property of the interior angles of a quadrilateral.
[tex]x + 2x + 3x + 4x = 360 \degree \\ \\ 10x = 360 \degree \\ \\ x = \frac{360}{10} \\ \\ x = 36 \\ \\ \implies \: \\ 2x = 2 \times 36 = 72 \degree \\ \\ 3x = 3 \times 26 = 78 \degree \\ \\ 4x = 4 \times 36 = 144 \degree[/tex]
A bag of dog food contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. How many days does the bag of dog food last?
Answer: you keep adding 2 and 1/3 to get your answer. 18 day so the dog food should last up to 18days hope this helps
Dont take my word not 100% sure
Every day, Ann goes to the gym for 30 minutes and Max goes for 3 times longer. For how long does Max go to the gym every day?
To find this answer, it says that Max goes to the gym 3x longer than Ann. Ann only goes to the gym for 30 minutes.
Multiply the time that Ann goes by 3 to find the time that Max goes.
30 x 3 = 90
Which means, that Max spends 90 minutes at the gym. /
(To simplify, he goes to the gym for 1 hour and 30 minutes)
- 8 - Зу = 25
How do I do this
0.75,1/2,0.4, and 1/5 from least to greatest
Answer: 1/5,0.4,1/2,0.75
Step-by-step explanation:
Help appreciated! (Will mark as Brainliest if correct.)
Answer:
1. and 3.
Step-by-step explanation:
Need help ASAP, Tysm I really appreciate it
23-8x+5x+1
23-3x+1
24-3x
Answer: -3x+24
Which of the following is true about a linear pair?
The two angles must be supplementary and adjacent to form a linear pair.
The two angles must be supplementary and adjacent to form a linear pair.
Any two adjacent angles form a linear pair.
Any two adjacent angles form a linear pair.
Any two supplementary angles are a linear pair.
Any two supplementary angles are a linear pair.
Vertical angles can form a linear pair.
Answer:
2
Step-by-step explanation:
;\
Answer: Choice A
The two angles must be supplementary and adjacent to form a linear pair.
Adjacent angles are angles that touch and share a common line segment, line, or ray. Think of two rooms that share the same wall and how they are considered adjacent rooms.
Supplementary angles form a straight angle. They add to 180 degrees.
Which of these numbers is irrational?
Answer:
the square root of five is irrational
Step-by-step explanation:
Answer:
A, I think
Step-by-step explanation: