Answer:
[tex]6,500\ cars[/tex]
Step-by-step explanation:
Let
x ---> the number of people
y ---> the number of cars
we know that
The ratio of people to cars is approximately 1.85 : 1
so
[tex]\frac{x}{y}=\frac{1.85}{1}[/tex]
[tex]x=1.85y[/tex] -----> equation A
12,100 people live in the city
so
[tex]x=12,100[/tex]
substitute the value of x in the equation A
[tex]12,100=1.85y[/tex]
solve for y
[tex]y=6,540.54\ cars[/tex]
to the nearest 100 car
[tex]y=6,500\ cars[/tex]
Final answer:
To find the number of cars in the city, divide 12,100 by the ratio of people to cars (1.85:1), resulting in approximately 6,540.05 cars. Rounded to the nearest hundred, the city has about 6,500 cars.
Explanation:
The question is about finding the number of cars in a small U.S. city given the ratio of people to cars is approximately 1.85:1 and there are 12,100 people living in the city. To solve this, we divide the total number of people by the given ratio to find the approximate number of cars. Firstly, find the proportion of cars to people by taking the reciprocal of 1.85, which gives us approximately 0.5405. Then, multiply this proportion by the total population to estimate the number of cars.
Calculation:
Number of cars = Total population × Proportion of cars to people
Number of cars = 12,100 × 0.5405 ≈ 6,540.05
Rounded to the nearest hundred, the city has approximately 6,500 cars.
A box is known to hold exactly 125 in3. Which side dimensions produce the most accurate measurement of the box?
Answer: 25 and 5 sowwy if i'm wrong.
Step-by-step explanation:
So we know that the box is 125 in3. What ___ times ____ is equal to = 125
So we should name the multiples of 125 which is : 1,5,25,125
25 times 5 is = 125 so there's your answer.
Answer:
4.9 x 5.1 x 5.0
Step-by-step explanation:
I just had this question
The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a BLUE skittle is pulled from a bag of skittles? (round to the nearest hundredth)
Answer:
b
Step-by-step explanation:
Answer:
0.21
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 187 kilograms. A d of 3 large boxes and 2 small boxes has a total weight of 87. How much does each type of box weigh? Pls help
Answer:
Large Box = 18.5
Small Box = 15.75
Step-by-step explanation:
Let x = large box and y = small box
5x+6y=187
3x+2y=87
cancel out one equation
(5x+6y=187)•3=15x+18y=561
(3x+2y=87)•-5=15x+10y=435
15x+18y=561
-15x-10y=-435
–––––––––––
0+ 8y= 126
8y÷8 =126÷8
y=15.75
Substitute y into either original equation
3x+2(15.75)=87
3x+ 31.5=87
3x+ 31.5-31.5=87-31.5
3x=55.5
3x÷3=55.5÷3
x=18.5
DEL
GEGEEL
Kaya is getting older and feels like she should donate her collection of stuffed animals to
children who are less fortunate. She has 46 stuffed cats and 10 stuffed dogs, which she
wants to divide into identical groups, with no stuffed animals left over. What is the greatest
number of groups Kaya can place her stuffed animals into?
CUTE
nn
AX
Answer:
2
Step-by-step explanation:
The GCF of 10 and 46 is 2. I hope this helps.
Answer:
The most number of groups she can put it into is 2
Step-by-step explanation:
What Kaya is trying to find the it greatest common factor, or the largest number that can be divided from two numbers.
46 -> 1, 2, 23, 46
10 -> 1, 2, 5, 10
We see that the only two numbers other than 1 match is 2. This means that the GCF or the greatest common factor is 2.
Answer: The most number of groups she can put it into is 2
amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. the width is 2x + 6 centmeters, and is 4/5 of the length. what are the dimensions of the canvas?
Answer: 15 4/3
Step-by-step explanation:
Final answer:
To find the dimensions of Amanda's rectangular canvas, we use the fact that the width is 4/5 of the length. By setting up an equation and solving for x, we find that x equals 3. Hence, the canvas measures 15 centimeters in length and 12 centimeters in width.
Explanation:
Amanda uses a rectangular canvas for painting where the length is given as 6x - 3 centimeters and the width is given as 2x + 6 centimeters. The width is also said to be 4/5 of the length. To find the dimensions of the canvas, we must set up an equation using the relationship between the width and the length:
The width is 4/5 of the length: (2x + 6) = (4/5)(6x - 3).Multiply both sides by 5 to clear the fraction: 5(2x + 6) = 4(6x - 3).Distribute and simplify: 10x + 30 = 24x - 12.Subtract 10x from both sides: 30 = 14x - 12.Add 12 to both sides: 42 = 14x.Divide by 14 to solve for x: x = 3.Once we have the value of x, we can find the dimensions of the canvas:
Length: 6x - 3 = 6(3) - 3 = 18 - 3 = 15 centimeters.Width: 2x + 6 = 2(3) + 6 = 6 + 6 = 12 centimeters.So, the dimensions of Amanda's canvas are 15 centimeters in length and 12 centimeters in width.
Find the 11th term of the geometric sequence 2, -6, 18, ...
Answer:
-118098
Step-by-step explanation:
Answer: 118098
Step-by-step explanation:
DM
- 7h + 2(-4h +5) > -4h +1 +10. Solve for h
Hello.
-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h
Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.
-7h - 8h + 10 > -4h + 11
Add like terms.
-15h + 10 > -4h + 11
Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.
Subtract 10 from both sides. Then, add 4h to both sides.
-15h + 4h > 11 - 10
Simplify.
-11h > 1
Divide both sides by -11.
However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <
-11h ÷ -11 < 1 ÷ -11
h < 1/-11
Therefore, h < -1/11
We are given with an inequality and we need to solve for h . So let's start
[tex]{:\implies \quad \sf -7h+2(-4h+5)> -4h+1+10}[/tex]
[tex]{:\implies \quad \sf -7h-8h+10> -4h+11}[/tex]
[tex]{:\implies \quad \sf -15h+10> -4h+11}[/tex]
Add 4h to both sides
[tex]{:\implies \quad \sf -15h+10+4h> \cancel{-4h}+11+\cancel{4h}}[/tex]
[tex]{:\implies \quad \sf -11h+10> 11}[/tex]
Subtracting 10 from both sides ;
[tex]{:\implies \quad \sf -11h+10-11> \cancel{11}-\cancel{11}}[/tex]
[tex]{:\implies \quad \sf -11h-1> 0}[/tex]
Adding 1 to both sides
[tex]{:\implies \quad \sf -11h-\cancel{1}+\cancel{1}> 1}[/tex]
[tex]{:\implies \quad \sf -11h>1}[/tex]
Now dividing both sides by -11 also , when we divide or multiply an inequality by a -ve , we changes the sign too. So ;
[tex]{:\implies \quad \sf \dfrac{-11h}{-11}< -\dfrac{1}{11}}[/tex]
[tex]{:\implies \quad \sf h< -\dfrac{1}{11}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{h\in \left(-\infty ,-\dfrac{1}{11}\right)}}}[/tex]
2. I pay $4.00 for my train fare everyday. This week, my train
fare is increased by 10%. What is my new train fare?
(100% of $4,00) + (10% of 4.00 )
[tex](100 \div of \:80) + (15 \div of \:80)[/tex]
Answer: the correct option is (100% of $4) + (10% of $4)
Step-by-step explanation:
Check:
100% of $4
= 100/ 100 x 4
= $4, which is stated as the everyday train fare
10% increase = 10/100 × 4
= 0.1 × 4
= $0.4
New train fare = $4 + $0.4
= $4.4
I hope this helps, please mark as brainliest.
4(2c-8)=16 what is c???
Answer:
c=6
Step-by-step explanation:
4(2c-8)=16
Divide each side by 4
4/4(2c-8)=16/4
2c-8 =4
Add 8 to each side
2c-8+8=4+8
2c =12
Divide each side by 2
2c/2 =12/2
c=6
(6.25)(1.6) what is the answer
6.25 Multiply.
x 1.6
▬▬▬▬▬▬▬▬
10
Therefore, 10 is our answer.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Learn more:
Multiplying decimals: https://brainly.com/question/13786600
Answer:
10
Step-by-step explanation:
A few changes were made while calculating the product of 6.25 and 1.6.
⇒ (6.25)(1.6) = 6.25 × 1.6Now, let's calculate the product using long multiplication. (refer to attachment).
Explain how to determine whether the input/output pairs in a table could be related in a linear way.
What is the area of the figure?
Answer:
48
because area is length time with but because the base is a triangle you have to find the area of the triangle then times it with the width that you have
What is the approximate circumference of the circle shown below?
Plz help
Answer:
B. 62.8 is the correct answer
Step-by-step explanation:
Solve for x
-x + 1 = x + 21
Answer:
x=-10
Step-by-step explanation:
first put "x" on one side and the constants on the other
the equation becomes 2x=-20 or -2x=20
both cases divide by 2 and the answer becomes x=-10
or if you end up with -x=10 just multiply by -1 and it ends up the same
Including scholarships and financial aid, Brett has $28,000 to spend on
college. If the total cost of his college education is
he will have
enough resources to pay.
O A. $26,000
O B. $32,000
O c. $29,000
O D. $35,000
SUBMIT
The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year. This year the store bought 299 oranges. What was the original number of oranges purchased?
Answer:
The original number of oranges purchased is 260
Step-by-step explanation:
Let the original number of oranges purchased be x
We are given that The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year.
So, Oranges bought this year = [tex]x+15\%x=x+\frac{15}{100}x=1.15x[/tex]
We are given that This year the store bought 299 oranges.
So, [tex]1.15 x= 299[/tex]
[tex]x=\frac{299}{1.15}[/tex]
x=260
Hence the original number of oranges purchased is 260
Answer as soon as possible, please and thank you. All help is truly appreciated because we are one step closer to the answer. Be safe.
Answer: 100
Step-by-step explanation:
4b squared where b= 5
Slot in 5 for b; 5 squared = 5x5= 25
4 (25)
=100
Answer:
100
Step-by-step explanation:
First we remove the b and put 5 in its place because that what the instructions say b stands for
4*5^2
We do PEMDAS to figure out what to do first, we do the exponent
5^2 or 5*5= 25
Now we do 4 * 25
4*25 =100
-5 = h + (-2)
No other website can help me please
Answer:
h = -3
Step-by-step explanation:
to solve for h
-5 = h + (-2)
just combine the like terms together
-5 = h + (-2)
-5 + 2 = h
h = -3
(I flipped the coins already)
Instructions In this experiment, you will be using two coins as a simulation for a real-world compound event. Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.
1 What is the theoretical probability that the family has two dogs or two cats? Describe how to use two coins to simulate which two pets the family has.
Flip both coins 50 times and record your data in a table like the one below. Result Frequency Heads,
Heads Heads, 9
Tails Tails,26
Heads Tails,26
Tails 15
Total 50
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
How could you change the simulation to generate data for three pets?
Thank you for your help!!
Answer:
tails tails 26
Step-by-step explanation:
because the coins might not have different sides the probability of the coin landing on the same side 26 times is understandable
hope this helps
Answer:
Step-by-step explanation:
are you doing flvs? if you answer i can delete thi and help you. i mau be able to help ya out..
Farmer Fran has 38 barnyard animals consisting of only chickens and goats. If these animals have 116 legs how many of each type of animal are there?
Answer: There are 20 goats and 18 chikens.
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
If the number of chickens is represented by C, and the number of goats is G.
Total of Animals equation:
a)C+ G = 38
Total of legs equation (since chickens have 2 legs and goats have 4 ):
b)2C + 4 G =116
If we multiply a) by 2 and subtract a) from b).
2C + 4 G =116
-
2C + 2 G =76
_________
2G = 40
Solving for G:G = 40/2
G= 20
Replacing the value of G on any equation:
a) C+ (20) =38
Solving for CC =38-20
C=18
There are 20 goats and 18 chickens.
Answer:
chickens is represented by C, and the number of goats is G.
C=18
G=20
Total of Animals equation:
a)C+ G = 38
Total of legs equation (since chickens have 2 legs and goats have 4 ):
b)2C + 4 G =116
If we multiply a) by 2 and subtract a) from b).
2C + 4 G =116
-
2C + 2 G =76
_________
2G = 40
Solving for G:
G = 40/2
G= 20
Replacing the value of G on any equation:
a) C+ (20) =38
Solving for C
C =38-20
C=18
There are 20 goats and 18 chickens.
At Billy's Burgers, two bacon cheeseburgers and three orders or curly fries would cost $ 16.45. One order of curly fries and three bacon cheeseburgers would cost $ 16.66. What is the cost of one bacon cheeseburger?
I think I leaned how to do this before but I just can not remember how to do this. Please show me how to do this in steps.
Answer:
Curly fries=$2.29 per order
Bacon=$4.79 per order
Step-by-step explanation:
let b denote bacon and f denote curly fries.
We represent the situations using inequalities as:
[tex]2b+3f=16.45\ \ \ \ \ ...i\\\\1f+3b=16.66\ \ \ \ \ ...ii[/tex]
#we make f the subject of the formula in ii and substitute in i:
[tex]f=16.66-3b\\\\\#substitute \ in \ i\\\\2b+3f=16.45\\\\2b+3(16.66-3b)=16.45\\\\\\2b+49.98-9b=16.45\\\\-7b=-33.53\\\\b=4.79\\\\f=16.66-3\times 4.79\\\\=f=2.29[/tex]
Hence, one order of curly fries costs $2.29 and one order of bacon costs $4.79
What is a single decimal?
Answer
Decimal is a term that describes the base-10 number system, probably the most commonly used number system. The decimal number system consists of ten single- digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number after 9 is 10. The number after 19 is 20 and so forth. Additional powers of 10 require the addition of another positional digit.
Ratios equivalent to 3:2
Answer:
6:4,9:6,12:8,15:10
Step-by-step explanation:
Ratios equivalent to 3:2
3:2 = 3/2
1st equivalent = 3×2/2×2 = 6/4 = 6:4
2nd equivalent = 3×3/2×3 = 9/6 = 9:6
3rd equivalent = 3×4/ 2×4 = 12/8 = 12:8
4th equivalent = 3×5/2×5 = 15/10 = 15:10
I hope this was helpful, please mark as brainliest
What is the area of a circle with a diameter of 15 mm? Use 3.14 for pie. Round to the nearest tenth.
Answer:
47.1
Step-by-step explanation:
A=PIEr^2
if you have the diameter you dont need to square it so it is simply PIE(15)
then you get 47.1238898
round it
47.1
Answer:
176.6 mm^2
Step-by-step explanation:
We need to find the radius
r = d/2
r = 15/2 = 7.5
We want the area of a circle
A = pi r^2
A = pi * (7.5)^2
= 3.14 * 56.25
=176.625
Rounding to the nearest tenth
176.6 mm^2
What is the GCF of 96x^5 and 64x^2?
-4(x+ 9) = 24
i need my homework done lol .
Step-by-step explanation:
[tex] - 4(x + 9) = 24 \\ \\ \therefore \: - 4x - 36 = 24 \\ \\ \therefore \: - 4x = 24 + 36 \\ \\ \therefore \: - 4x = 60 \\ \\ \therefore \: x = \frac{60}{ - 4} \\ \\ \therefore \: x = - 15[/tex]
Find the surface area of the cone whose radius and height are 2cm and 4cm respectively
The result is approximately 40.7 cm^2.
To find the surface area of a cone:
Identify the radius and height of the cone.
Use the formula: Surface Area = [tex]pi* r( r + \sqrt{r^2 + h^2} )[/tex], where r is the radius and h is the height.
Substitute the values: Surface Area = [tex]pi * 2(2 + \sqrt{2^2 + 4^2} ) \\= pi * 2(2 + \sqrt{4 + 16} ) \\= pi * 2(2 + \sqrt{20} ) \\= 2 * pi * (2 + 4.47) \\= 2* pi * 6.47[/tex] ≈ 40.7 cm2.
whats 5(3× + 4) - 3 (-2× +11)
Answer:
21x+53
Step-by-step explanation:
The simplified expression is 21x - 13.
To solve the expression 5(3x + 4) - 3(-2x + 11), follow these steps:
Distribute the 5 into the first set of parentheses:
5 × 3x = 15x
5 × 4 = 20
So, 5(3x + 4) becomes 15x + 20.
Distribute the -3 into the second set of parentheses:
-3 × -2x = 6x
-3 × 11 = -33
So, -3(-2x + 11) becomes 6x - 33.
Combine like terms:
(15x + 6x) + (20 - 33) = 21x - 13
The simplified form of the expression is 21x - 13.
Erin and Ethan add fractions 2 1/3 and 1 1/2
Answer:
32/5
Step-by-step explanation:
Please answer ASAP!! Thank you in advance, and remember to wash your hands consistently for 1 minute with antibacterial soap.
Answer: t= 15
Step-by-step explanation:
1/4t= 3 3/4
Make 3 3/4 as an improper fraction:
15/4
Multiply:
t= 15/4 x 4/1
=60/4
t=15