A map was made with a scale in which 3 inches represents 450 miles. The actual distance between two cities is 1,350 miles. What is the distance between the same two cities on the map?6 inches
Answer:
Step-by-step explanation:
(450 miles/3 inches) = 150 miles/inch
(1,250 miles)/(150 miles/inch) = 8.3333 inches
When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
On scale 3 inches represents the actual distance = 450 miles.
To find the distance on scale when actual distance = 1350
Since, 3 inches = 450 miles
1 inch = 450 / 3 = 150 miles
150 miles = 1 inches
1 mile = / 1/ 150 inches
1350 miles = 1350 / 150 inches = 9 inches
The required distance on scale is 9 inches.
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2.
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3 3
Step 3
x= 3
Step 4
Which step is the result of combining like terms?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:
Step-by-step explanation:
Combining like terms occurs at this step:
3x - 6 + 6 = 3 + 6
Combining the - 6 + 6 =and 3 + 6 yields:
3x = 9
Gemma made 106 beaded necklaces . Leah made 145 beaded necklaces.
At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more? ( im using my brothers acc and he is 16)
Answer: Leah made more money by 1,996 dollars more than Gemma,
Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars
What is the value of the rational expression 6-x/x+5 when x = 2?
4/7
4/5
8/7
8/5
Answer:
4/7
Step-by-step explanation:
6 -2/2+5 = 4/7
thats it simple
Answer: 10
Step-by-step explanation:
6-x/x+5
6-(2)/(2)+5
Order of Operations
6-1+5
5+5
10
Can anyone solve the problem on the picture?
Quotient:
[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]
Remainder:
[tex]f(x) = 9x^2+68x+35[/tex]
By the remainder theorem,
[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]
Which is the remainder when f(x) is divided by (x+7)
What is a set builder notation
Answer:
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.
Step-by-step explanation:
For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.
Answer:
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.
Step-by-step explanation:
No Explanation
Which numbers are irrational
Answer:
A & B
Step-by-step explanation:
A rational number is a number that can be written as a fraction or a terminating or repeating decimal. An irrational number is one that cannot be written as a fraction, or one that goes on forever without terminating or repeating in any way. Let's check all of our options and find the ones that are irrational.
Our first option (A) looks irrational! The "..." shows us that it goes on forever, and it doesn't look like it repeats. So this option is irrational.
Our next option is B, the square root of 24. What is the square root of 24? Well, if we look it up on a calculator, we get 4.89897948557..., and it looks like this one doesn't terminate or repeat either. So option B is also irrational.
Option C is the square root of 121. The square root of 121 is 11, which can be written as a fraction (11/1) and is a terminating decimal. So it's rational.
Our last option is D, and it is written already as a fraction, so we know for sure that it's rational. If we divide it out, we get 0.44444... with the 4 going on forever. It's a repeating decimal, and repeating decimals are rational.
So our final answers for which are irrational are A & B.
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
x>-6
1st step: 3(x-1)>-15------(3x-3)>-15
2nd step: subtract -3 from -15 which is -18
3rd step: 3x>-18------x>-6
Answer:
x > -4
Step-by-step explanation:
First, distribute the 3 among everything inside the parentheses to get 3x - 3 > -15.
Next, add 3 on both sides to get 3x > -12, then divide 3 on both sides to get x > -4.
Hope this helps :)
Also I love the kitty lol, but what's with the hair tie?
Rewrite 1/3 book for 5/6 an hour as a unit rate.
A.2/5 book/an hour
B. 1/5 book/hour
C. 2 1/2 books/hour
D. 5 books/hour
Answer:
A
Step-by-step explanation:
What are the solutions to the equation sin(x+7pi/2)=-sqrt 3/2
over the interval [0,2pi]?
Answer: C: pi/6 and 11pi/6 only
Step-by-step explanation:
Edge2020 :]
Nikola buys a bouquet of 8 sunflowers for $18
what is the cost for 1 sunflower?
Can somebody help me with this. Thank you.
Answer:
There wasn’t any question posted
Step-by-step explanation:
The question was not posted, therefore there is no logical way to help you with the question.
) Use distributive property and solve
74×94
Answer:
6956
Step-by-step explanation:
i dont get the Question
A board is 6 feet 4 inches long. How long is the board in inches?
1ft = 12 in
Answer:
76 inches
Step-by-step explanation:
6x12 = 72
72+4 = 76
Answer:
It would be 76 inches!
Step-by-step explanation:
Six times 12 = 72
72+4 = 76
BRAINLIEST
please help me finish these
Answer:
15) 44.6 inches
16) 77.8 degrees
Step-by-step explanation:
15) we are given the angle and length of 16, drawing this out, 16 inches (the height) would be opposite of the angle and the length of the ramp would be hypotenuse.
we know that sine is opposite over hypotenuse, so we can use that to help find the length.
Rearrange:
sin21degrees = opposite/hypotenuse
hypotenuse*sin21degrees = opposite
hypotenuse = opposite/sin21degrees
Sub in values:
hypotenuse = 16/sin21degrees
hypotenuse = 44.6468 inches
16) we are given two side lengths and expected to find an angle, we now need to use the inverse of one of the trigonometric ratios.
Drawing this out, we are given the hypotenuse and adjacent lengths, so we can use the inverse cosine to find the angle
angle = cos^-1 adjacent/hypotenuse
angle = cos^-1 (7/26)
angle = 74.381 degrees
How do I slove Solving Systems Using Matrices in word form like this please help I'm almost don't for the night >_< ;-; :( o-o
Answer:
Below!
Step-by-step explanation:
Seven times the sum of a number and three is equal to four times the number, decreased by eight. If X represents the number, which equation is correct
A- 7(X + 3) = 4X - 8
B- 7(X + 3) = 4(X - 8)
C- 7X + 3 = 4X - 8
Answer:
A. 4(x + 3) = 4x - 8.
Step-by-step explanation:
what is the calculation for 70 increased by 9%
Helppppp it's due todayyyyyyyy.
Answer:
65.1mm
Step-by-step explanation:
(4*3+4*3+5.7*3/2)*2
(12+12+8.55)*2
32.55*2
65.1mm
7/10=r-(-8/9) please help
Answer: -(3/10)
Step-by-step explanation:
7/10=r-(-8/9)
(7/10)=r+(8/9)
(7/10)-(8/9)=r
r =(7/10)-(8/9)
r =(7/10)*(9/9)-(8/9)*(10/10) [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]
r =(63/90)-(80/90)
r = -(27/90) or -(3/10)
Construct a new equation by adding 5x + 5y = 35 to 3.x - 2y = 1
Describe a pattern in the sequence then figure out the next 2 terms.
3, 11, 19, 27, ..., ...
Answer:
35, 43
Step-by-step explanation:
The pattern is that to obtain a term in the sequence , add 8 to the previous term, then
27 + 8 = 35
35 + 8 = 43
35 and 43 are the next 2 terms in the sequence
Answer:
35,43
Step-by-step explanation:
add 8 k so ya but ya and so on
A store sells $2\frac{1}{4}$ pounds of mulch for every $1\frac{1}{2}$ pounds of gravel sold. The store sells $180$ pounds of mulch and gravel combined. How many pounds of each item does the store sell
Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
Creating a ratio expression thus :
2.25 pounds of mulch = 1.5 pounds of gravel 2.25 : 1.5 Combined ratio= 2.25 + 1.5 = 3.75Let :
Pounds of mulch sold = mPounds of gravel sold = gPounds of Mulch sold :
(2.25/3.75) × 180 = 108 poundsPounds of gravel sold :
(1.5 / 3.75) × 180 = 72 poundsHence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
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Type the missing digit in this number
7,587_64 is divisible by 8.
Answer:
The numbers can be 2,4,6,8,0
Step-by-step explanation:
Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.
Hoped this helped.
My sweatshirt rhat i want to buy is $36 today the price is 30% off what is the price of the sweatshirt today
(2x+5) (3x-15)
solve for x
•x=27
•x=20
•x=38
Answer:4799,2475,4941,
Step-by-step
I'm not sure,
but I solved replace the given numbes
For first, (2×27+5)(3×27-15)=4799, for second (2×20+5)(3×20-15)=2475
For third(2×38+5)(3×38-15)=4941
Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch both circles?
3
1
2
there are only 3 tangent lines can be drawn that touch both circles
ok done. Thank to me :>
Find the perimeter. Simplify your answer.
Answer:
3s+10s+10s+3s=9+3+3+9
26s=24
s=26+24
s=50 cm
Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15.00 per hour, plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?
A. Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
B. Sun'N'Fun is cheaper than Wavy Dave's after 8 hours.
C. Sun'N'Fun is never cheaper than Wavy Dave's.
D. Sun'N'Fun is always cheaper than Wavy Dave's.
Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
Let y represent the total renting fee for x hours.
Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Hence:
y = 17.5x + 20
Sun'N'Fun charges $15.00 per hour plus a $30 fuel fee. Hence:
y = 15x + 30
For Sun'N'Fun to be cheaper than Wavy Dave's:
15x + 30 < 17.5x + 20
10 < 2.5x
4 < x
x > 4
Hence, Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.
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What type of a regular polygon in which each interior angle is 2/3 of two right angles?
Answer:
Triangle
Step-by-step explanation:
90/3=30
30×2=60.
60° internally in a triangle.