Connor can reasonably estimate that about 2323 cars are stuck in the traffic jam.
To find about how many cars are stuck in the traffic jam, Connor can divide the total length of the traffic jam by the length of each car.
Given:
- Length of traffic jam: 5.5 miles
- Length of each car: 12.5 feet
First, let's convert the length of the traffic jam from miles to feet since the length of each car is given in feet.
1 mile = 5280 feet
So, the length of the traffic jam in feet is:
[tex]\[ 5.5 \text{ miles} \times 5280 \text{ feet/mile} = 29040 \text{ feet} \][/tex]
Now, Connor can divide the total length of the traffic jam by the length of each car to find about how many cars are stuck:
[tex]\[ \frac{29040 \text{ feet}}{12.5 \text{ feet/car}} \approx 2323 \text{ cars} \][/tex]
If 7x+4=37, what is the value of 14x-1
find each product
1. (-2)(3)
2. (-5)(-7)
3. (8) (-11)
4. (-3) (2) (-2)
Answer:
1. -6
2. 35
3.-88
4. 12
hope it helps :)
A ride at a carnival has two types of cars for children to ride. One type has 2 seats and one has 4 seats. There are 25 cars, and they can seat a total of 70 children. How many 4-seated cars are there?
There are 10 4-seated cars at the carnival.
Explanation:We are given that there are two types of cars at the carnival, one with 2 seats and one with 4 seats. We also know that there are a total of 25 cars and they can seat 70 children in total.
Let's assume the number of 2-seated cars is x and the number of 4-seated cars is y. We can set up a system of equations to represent the given information:
x + y = 25 (equation 1)2x + 4y = 70 (equation 2)We can solve this system of equations using substitution or elimination method. Let's solve it using elimination method:
Multiply equation 1 by 2 to make the coefficients of x the same: 2(x + y) = 2(25) --> 2x + 2y = 50 (equation 3)Subtract equation 3 from equation 2 to eliminate x: 2x + 4y - (2x + 2y) = 70 - 50 --> 2y = 20Divide both sides of the equation by 2 to solve for y: y = 10So, there are 10 4-seated cars at the carnival.
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The carnival ride question can be solved using a system of equations with two variables representing the number of 2-seated and 4-seated cars. After setting up and solving the equations, we find there are 10 4-seated cars and 15 2-seated cars.
To tackle this problem, we need to set up two equations based on the seats and cars information given. Let's define x as the number of 2-seated cars and y as the number of 4-seated cars. The problem states that there are a total of 25 cars, which gives us the equation:
x + y = 25
Furthermore, we know that the total number of seats across all cars is 70. Since 2-seated cars contribute 2x to the total number of seats and 4-seated cars contribute 4y, we have the second equation:
2x + 4y = 70
To solve for y, we can manipulate these equations using substitution or elimination. For this example, let's use elimination. Divide the second equation by 2 to simplify it:
x + 2y = 35
Now subtract the first equation from this simplified second equation:
y = 35 - 25
y = 10
So, there are 10 4-seated cars. To find the number of 2-seated cars (x), substitute y back into the first equation:
x + 10 = 25
x = 25 - 10
x = 15
Thus, there are 15 2-seated cars.
Can the absolute value of an inequality be more than a negative?
Example:
4 |x-6| ≥ -8
Answer:
Yes, it would be all real numbers. If a negative was more than the absolute vaule, it would be false
Step-by-step explanation:
|x-6|>-2
pos. neg.
The the absolute vaule is ALWAYS positive so like I said before if the sign was facing towards the -2 it would be false
4 |x-6| (greater than or equal to)> -8
First you have to divide 4 on both sides since its outside the absolute vaule
then you will be left with
|x-6|>-2
since the 2 is a negative, you may think that this is automatically no solution, but sadly it isn't.
since the sign says the pos. sign is greater the equation is true and "all real numbers"
hope that helps!!
What is the length of BC?
A. 6 2/3 cm
B. 5cm
C. 4cm
D. 6cm
Thought I already answered this. I must have forgotten to click "add your answer."
We have similar triangle trianges ABC ~ ADE so
BC:AB = DE:AD
BC:2 = 10 : (2+3) = 10:5 = 2:1
So BC=4 because 4:2 = 2:1
Choice C.
Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be working on. He has 60 minutes to practice piano and would like to spend at least 35 minutes playing songs instead of practicing scales. So, Sven sets up the following inequality, where t is the number of minutes he spends on each scale, and solves it.
Answer:
He must spend no more that 25 minutes practising scales.
Step-by-step explanation:
5t + 35 ≤ 60
5t ≤ 25
t ≤ 5.
So the maximum time for practising the scales is 5*5 = 25 minutes.
Answer:
Sven should spend 5 minutes or less on each scale. Maximum times is 25 minutes.
Step-by-step explanation:
Total time to practice piano = 60 minutes
He would like to spend at least 35 minutes playing songs instead of practicing scales.
Let t is the number of minutes he spends on each scale.
The time spend on 5 scales = 5t
Time for playing songs = 60 - 5t
It is given that he would like to spend at least 35 minutes playing songs instead of practicing scales. It means time for playing songs is greater than or equal to 35.
[tex]60-5t\geq 35[/tex]
Subtract 60 from both sides.
[tex]60-5t-60\geq 35-60[/tex]
[tex]-5t\geq -25[/tex]
Divide both sides by -5. If an inequality is divided or multiplied by a negative number, then the sign of inequality is changed.
[tex]t\leq 5[/tex]
Sven should spend 5 minutes or less on each scale.
The maximum value of t is 5, so the maximum time spend on practicing scales is
[tex]\text{Maximum time}=5t\Rightarrow 5(5)=25[/tex]
Therefore, the maximum time is 25 minutes.
Sarah is building a model of the school. the scale of her model to the actual school is 1 to 10. Her model is 380 in tall. How tall is the actual School?
alisa wrote a comparison for set b using the ten thousands place. Explain what strategy she could have used
Answer:
1000 to the 10 th power
Step-by-step explanation:
Just put it into power form
Since Alisa wrote a comparison for set b using the ten thousands place. The strategy that she could have used is 1000¹⁰
So, Alisa's strategy for comparing numbers in Set B using the ten thousand place involves focusing on a specific digit position to simplify the comparison process.
What is the comparisonIn Set B, the numbers are 492,111 and 409,867. By looking at the ten thousand place, which is the fourth digit from the right, Alisa can break down the comparison to:
492,111: The digit in the ten thousand place is 2.409,867: The digit in the ten thousand place is 0.Since 2 is greater than 0, Alisa can quickly deduce that 492,111 is larger than 409,867. This strategy is based on the idea that when numbers are similar in size, comparing them digit by digit can help us easily figure out which one is bigger.
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See full text below
Alisa says it is easier to compare the numbers in set a (45,000, 1,025,680) instead of set b (492,111, 409,867). Alisa wrote a comparison for Set B using ten thousand place. Explain what strategy she could have used.
In AABC, side AB is 8 units long and side BC is 25 units
long. What cannot be the length of the third side?
A) 18
B) 21
C) 27
D) 35
Answer: the answer is D
Step-by-step explanation:
The length of third side of the triangle ABC cannot be D) 35.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given that,
For a triangle ABC,
Length of side AB = 8 units
Length of side BC = 25 units
We have that,
The third side of the triangle will be in the range of the sum and the difference of the other two side lengths.
So side AC can be in the range,
25 - 8 < AC < 25 + 8
17 < AC < 33
Hence the length 35 cannot be possible since it does not contain in the range.
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Divide and simplify 44/35 divided by 77/20
Answer:
Step-by-step explanation:
1.25 ÷ 3.58 = 0.34916201117
i don;t know if this is right sorry
4/25 x 10 in simplest form
Answer:
1 3/5
Step-by-step explanation:
10 = 10/1
4*10=40
25*1=25
40/25
now simplify:
40/5=8
25/5=5
8/5 = 1 6/10 = 1 3/5
hope this helps
The given expression in its simplest form is [tex]1\frac{3}{5}[/tex]
From the question,
We are to write the given expression in its simplest form
The given expression is 4/25 x 10
First, we will write the expression properly.
The expression can be written as
[tex]\frac{4}{25} \times 10[/tex]
The expression can be simplified as shown below
[tex]\frac{4}{25} \times 10[/tex]
This becomes
[tex]\frac{40}{25}[/tex]
Then,
[tex]1\frac{15}{25}[/tex]
In the simplest form, we get
[tex]1\frac{3}{5}[/tex]
Hence, the given expression in its simplest form is [tex]1\frac{3}{5}[/tex]
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I can't figure out how to tell which one costs more per pounds
Answer:
the 25 lb bag costs more
Step-by-step explanation:
6.96 divided by 12 = 0.58
15.75 dived by 25 = 0.68
Answer: 25 pound costs more than the other one
Step-by-step explanation:
82 X 29 but it says 2378 is not the anwser so we are lost for anwser
Answer: The correct answer is 2378. Though,maybe the answer that was given to you is wrong.
Step-by-step explanation: 82 x 29 =2378
Demitrius deposited 60% of his paycheck into his savings account. What was the amount of his paycheck. He deposited 41.67.
we know he deposited 41.67, we also know that's the 60% of his paycheck, the total paycheck will be the 100%.
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 41.67&60\\ x&100 \end{array}\implies \cfrac{41.67}{x}=\cfrac{60}{100}\implies \cfrac{41.67}{x}=\cfrac{3}{5}\implies 208.35=3x \\\\\\ \cfrac{208.35}{3}=x\implies 69.45=x[/tex]
Identify the dependent and independent variables on the following scenario:
A researcher is studying the effect of sleep on academic performance, thinking that less sleep will lead to lower grades. She has
some people sleep six hours per night, some people sleep three hours per night, and some people sleep as much as they want.
She then monitors academic behavior during English and math classes among participants. (Site 1)
Answer:
I think that the dependent variable would be the academic performance because she hypothesizes that the performance depends on how many hours of sleep you get. And the amount of sleep would be the independent variable. I'm not too too sure.
Answer:
Independent Variable = Effect of Sleep
Dependent Variable = Academic Performance
Step-by-step explanation:
As we know that dependent variable depends on independent variable and on changing the value of independent variable, value of dependent variable also get changed.
Here in the given scenario academic performance is depend on the effect of sleep. Thus,
Independent Variable = Effect of Sleep ( Number of hours of sleep)
Dependent Variable = Academic Performance.
evaluate 12 ÷ 3 × (-3) + l-8l answers are : a: -20 b: -4 c: 20/3
Answer:
B. -4
Step-by-step explanation:
What you do is PEMDAS
12/3 x (-3) + |-8|=
4 x (-3) + |-8|=
-12 + 8=
-4 is your answer.
Final answer:
To evaluate the expression, divide 12 by 3, multiply by -3, find the absolute value of -8, and sum the results, obtaining -4 as the correct answer.
Explanation:
The student asked to evaluate the expression 12 ÷ 3 × (-3) + |-8|. To solve this, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we perform the division: 12 ÷ 3 = 4.
Next, we multiply the result by -3: 4 × (-3) = -12.
Then, we evaluate the absolute value: |-8| = 8.
Lastly, we add the results of the multiplication and the absolute value: -12 + 8 = -4.
Therefore, the correct answer is b: -4.
Tom buys a new phone service. It costs $20 to install, and then costs $15 a month. Write an equation to show the cost of the phone (y) for any number of months (x).
Answer:
Y=$15x+$20
Step-by-step explanation:
2x + 8y = 74
3x - 4y = 43
Answer: x=20
y= 17/4
Step-by-step explanation:
x=37-4y
111-16y=43
y=17/4
x=20
Point N is on line segment MO. Given MN = x, MO = 3x - 6,
and NO = x + 1, determine the numerical length of MO.
Answer:
Step-by-step explanation:
N is between points M and O
MN = x
MO = 3x - 6
NO = x + 1
The way it reads MN + NO = MO
x + x + 1 = 3x - 6
2x + 1 = 3x - 6
2x - 2x +1 = 3x -2x - 6
1 = x - 6
1 + 6 = x
x = 7
MO = 3x - 6
MO = 3*7 - 6
MO = 21 - 6
MO = 15
The numerical length of MO, given MN = x, MO = 3x - 6, and NO = x + 1, is 15.
Explanation:Given the conditions of the problem, we can create the equation MO = MN + NO based on segment addition postulate in Geometry. This implies: 3x - 6 = x + x + 1, or 3x - 6 = 2x + 1. Solving this equation for x, you get x equals 7. Substituting x = 7 into MO = 3x - 6 gives you: MO = 3(7) - 6 = 21 - 6 = 15. So, the numerical length of MO, given MN = x, MO = 3x - 6, and NO = x + 1, is 15.
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0.456 change to fraction
The correct fraction is [tex]\(\frac{456}{1000}\)[/tex].
To convert the decimal 0.456 to a fraction, one can follow these steps:
1. Write the decimal as a fraction with a denominator of 1000, since there are three digits after the decimal point. This gives us [tex]\(\frac{456}{1000}\)[/tex].
2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 456 and 1000 is 8.
3. Divide both the numerator and the denominator by 8 to get the simplified fraction:
[tex]\(\frac{456 \div 8}{1000 \div 8} = \frac{57}{125}\)[/tex].
Therefore, the decimal 0.456 expressed as a simplified fraction is [tex]\(\frac{57}{125}\)[/tex].
The perimeter of a square is 1/5 of a meter.
a. Find the length of each side in meters. Draw a picture to support your response.
b. How long is each side in centimeters?
Answer:
a) 0.05m
b) 5 cm
Step-by-step explanation:
See it in the pic
* ANSWER QUICK PLEASE :)* The map shows the dimensions of five counties in a Midwestern state. Which expression gives the area of Adams County? <3
Answer:
101218141812
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}[/tex]
Step-by-step explanation:
In the figure attached, map shows the dimensions of the 5 counties in a Midwestern state.
Adams county has the triangular boundaries.
Since area of triangle is represented by the expression [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]
Base represents the boundary of county Harding touching Adams = 18 mi.
Height represents the boundary of county Lincoln touching Adams = 10 mi
Therefore, expression representing the area of Adams county will be
[tex]\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}[/tex]
= [tex]\frac{1}{2}18\times 10[/tex]
= 90 square miles.
{3^4•5^4}-3 what is the answer
Answer:
1,265,622
Step-by-step explanation:
exponents mean you divide the number by itself however many times the exponent tells you to then you go from there
Ryan transformed figure S into similar figure S′.
What scale factor did he use for the dilation?
A. 1/3
B. 1/2
C. 2
D. 3
Answer:
D. 3
Step-by-step explanation:
Rectangle S is ½ by 1½, so tripling each dimension would give you S':
½ x 3 = 1½
1½ x 3 = 4½
1½ x 4½ are your new dimensions, and are genuine dimensions!
I am joyous to assist you anytime.
Please answer this correctly
Answer:
Colleen
Step-by-step explanation:
Gabby spent less than Mark
Mark>Gabby
Mark spent less than Layla
Layla>Mark>Gabby
Layla spent less than Colleen
Colleen>Layla>Mark>Gabby
Answer:
Colleen
Step-by-step explanation:
It says that:
Gabby spent less than Mark. Therefore Gabby<Mark
Mark spent less money than Layla. Therefore Mark<Layla and Gabby<Mark<Layla
Layla spent less money than Colleen, so Layla<Colleen and Gabby<Mark<Layla<Colleen.
Colleen spent the most money.
If Tim's top priority is to become famous, his most likely long-term goal is to
become a(n).
Answer:
Music artist
Why:
Well, if this wasn't the question please explain to me what I'm answering!
name the pairs of vertical angles
Answer:
right angel obtuse angle and i cant remember the other angle
for which value of x does the graph of the following function f(x) have a vertical asymptote? f(x)=7x/2x-8
a. 8
b. -7
c. 0
d. 4
Answer:4
Step-by-step explanation:
Take the denominator and set it to equal 0. We do this since the expression will be going towards 0, but never actually hitting it. This is due to you NEVER being able to divide by zero. Research about why, it's actually quite fascinating! So the entire expression would forever be chasing what ever makes the denominator equate to zero.
So, let's do that.
Set 2x-8 equal to zero.
0=2x-8
Once we do some simple math, we find that 4 is what we're looking for.
What is the gcf of 32 and 56
Answer:
The GCF of 32 and 56 are 8.
Step-by-step explanation:
Answer above! Enjoy! :)
Is there math problems on the app
Answer:
yes
Step-by-step explanation: