Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
From which store should Dylan make his purchase if he wants to get the best price per unit?
Answer:
Store 1
Step-by-step explanation:
Given
See attachment
Required
Determine the store with the best price per unit
It should be noted that the store with the best has the least price per unit.
So, we have:
Store 1
[tex]Quantity = 10\ ft[/tex]
[tex]Price = \$2.50[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$2.50}{10\ ft}[/tex]
Rate = $0.250 per feet
Store 2
[tex]Quantity = 2\ yd[/tex]
[tex]Price = \$1.85[/tex]
Convert quantity to feet
[tex]Quantity = 2 * 3ft = 6ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$1.85}{6\ ft}[/tex]
Rate = $0.308 per feet
Store 3
[tex]Quantity = 12\ ft[/tex]
[tex]Price = \$3.40[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$3.40}{12\ ft}[/tex]
Rate = $0.283 per feet
Store 4
[tex]Quantity = 5\ yd[/tex]
[tex]Price = \$4.00[/tex]
Convert quantity to feet
[tex]Quantity = 5 * 3ft = 15ft[/tex]
The unit rate is:
[tex]Rate = \frac{Price}{Quantity}[/tex]
[tex]Rate = \frac{\$4.00}{15\ ft}[/tex]
Rate = $0.267 per feet
From the calculations above; store 1 has the least unit rate.
Hence, store 1 has the best price per unit
Cards numbered 500 through 799 are placed into a box. How many of the cards satisfy both of the conditions shown below?
. The first digit of the three-digit number on the card is odd.
• The three-digit number on the card is divisible by 6.
A
50
33
25
12
Answer:
33
Step-by-step explanation:
4. Write each Radical in Simplified Form (No Decimals.)
A) V28
B) 500
C) 7162
Answer:
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
Step-by-step explanation:
Given (Correct Parameters)
[tex]\sqrt {28[/tex]
[tex]\sqrt {500[/tex]
[tex]\sqrt {162[/tex]
Required
Express in simplified form
[tex]\sqrt {28[/tex]
Express 28 as 4 * 7
[tex]\sqrt{28} = \sqrt{4} * \sqrt{7}[/tex]
Take positive square root of 4
[tex]\sqrt{28} = 2 * \sqrt{7}[/tex]
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500[/tex]
Express 500 as 100 * 5
[tex]\sqrt {500} = \sqrt {100} * \sqrt {5[/tex]
Take positive square root of 100
[tex]\sqrt {500} = 10 * \sqrt {5[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162[/tex]
Express 162 as 81 *2
[tex]\sqrt {162} = \sqrt {81} * \sqrt {2[/tex]
Take positive square root of 81
[tex]\sqrt {162} = 9 * \sqrt {2[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
Is this a positive slope or a negative slope????
Answer : Negative ( sorry i i get it wrong but i tried)
Step-by-step explanation:
Tom went bowling with $27 to spend. He rented shoes for $5.75 and paid $4.25 for each game.
introduces a study where researchers studying the relationship between honesty, age, and self-control conducted an experiment on 1G0 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group. (a) Identify the population of interest and the sample in this study. (b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
Answer:
The solution to this question can be defined as follows:
Step-by-step explanation:
In choice a:
Both children between 5 and 15 years old and 160 years old are also the populations of interest, and Kids from 5 to 15 years of age.
In choice b:
These findings could be compared like we do not know whether the groups were randomly selected, and the allocation is still not random; there could be no casual conclusion because the statement is valid even With sample research, and after randomization, filtering, and testing of 160 specimens (instruction vs no-instruction) Its analysis can be common to the community and replicated. There could be explanatory relations generated by experimental research. This analysis is observational and can therefore be used Causal relationships are established.gggg
HELP PLZZZzZZZZZZZ ASAP !!
Answer:
1 8/25
Step-by-step explanation:
1 32/100 = 1 8/25
can you please answer this? i dont understand
Answer:
Unit rate= constant change or slope Take two points: we see that as gallons increase per 2 gallons then the increase is 31 milesHence unit rate is 31/2 or 15.5Try the next one! As for any help!!HELP IM BEGGINGGGGGG
Answer:
1. between 4 and 4.5
2. between 3 and 3.5
3. between 5.5 and 6
Step-by-step explanation:
18 MB downloaded in 15
seconds
Answer:
what?? what is your question
Step-by-step explanation:
Answer: 1.2
Step-by-step explanation: Simply divide 18 by 15, and you will get 18/15=1.2
What is the value of y=6−4x when x=2?
Answer:
y = -2
Step-by-step explanation:
You substitute 2 as x, y = 6 - 4 * 2, which is y = 6 - 8 = -2.
(46^2 + b - 2) (4b + 5)
Answer:
46^2+b-2/4b+5
2116+b-2/4b+5
=2114+b/4b+5
Step-by-step explanation:
Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.Find the LCM of 156 and 224.
Answer:
8736
Step-by-step explanation:
The LCM of 156 and 224
First find the highest common factor between the two number
156 = 4 * 39
224 = 4 * 56
Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.
As such, the LCM of 156 and 224
= 4 * 39 * 56
= 8736
Answer:
8736
Step-by-step explanation:
The LCM of 156 and 224
First find the highest common factor between the two number
156 = 4 * 39
224 = 4 * 56
Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.
As such, the LCM of 156 and 224
= 4 * 39 * 56
= 8736
IGNORE MY ANSWERS BUT WILL SOMEONE PLEASE HELP ME!!!!!!!!!!!! 15 POINTS ON THIS QUESTION
Answer:
A=0 B=7 C=3 D=9 E=9 F=3 G=1 H=5 J=7 K=5
L=1
Step-by-step explanation:
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest if right!!!
Help!! Which inequality models the word sentence? A number reduced by 10 is more than 25. Question 2 options: m-10>25 m-10<25 m−10≤25 m−10≥25
Answer:
Option 4
Step-by-step explanation:
Please give me the correct answer
Answer:
hypotenuse^2= 5^2+8^2
hypotenuse= 3
Step-by-step explanation:
In the expression 3x - 4y + z, what is the
coefficient of z?
Answer:
1
Step-by-step explanation:
The coefficient is the number in front of a variable. There is a hidden coefficient of 1 in front of z. The reason it is not shown is because any number multiplied by 1 is just that number so showing the 1 is redundant.
The coefficient of z in the expression 3x- 4y +z is 1.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
3x - 4y + z
As, we know a coefficient is a number that is multiplied by a variable.
So, the coefficient of x is 3, coefficient of y is 4 and coefficient of z is 1.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
A parabola can be drawn given a focus of (4, -3) and a directrix of y=5 Write the equation of the parabola in any form.
Answer:
The equation of the parabola is (x - 4)² = -16(y - 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus of the parabola is (4, -3)
∵ The focus is (h, k + p)
∴ h = 4
∴ k + p = -3 ⇒ (1)
∵ It has a directrix of y = 5
∵ The directrix of the parabola is y = k - p
∴ k - p = 5 ⇒ (2)
→ Add equations (1) and (2) to find k and p
∵ (k + k) + (p - p) = (-3 + 5)
∴ 2k + 0 = 2
∴ 2k = 2
→ Divide both sides by 2
∴ k = 1
→ Substitute the value of k in equation (1)
∵ 1 + p = -3
→ Subtract 1 from both sides
∴ 1 - 1 + p = -3 - 1
∴ p = -4
∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)
→ Substitute the values of h, k, p in it
∴ (x - 4)² = 4(-4)(y - 1)
∴ (x - 4)² = -16(y - 1)
∴ The equation of the parabola is (x - 4)² = -16(y - 1)
Rectangle: 1 side 82 inches. Area of rectangle is 6.068 what is the other side measurement
Answer:
[tex]Side_2 = 74\ in[/tex]
Step-by-step explanation:
Given
[tex]Side_1= 82\ in[/tex]
[tex]Area = 6068\ in^2[/tex]
Required
Determine the length of the other side
For a rectangle:
[tex]Area = Side_1 * Side_2[/tex]
This gives:
[tex]6068\ in^2 = 82\ in * Side_2[/tex]
Divide both sides by 82in
[tex]\frac{6068\ in^2}{82\ in} = \frac{82\ in}{82\ in} * Side_2[/tex]
[tex]\frac{6068\ in^2}{82\ in} = Side_2[/tex]
[tex]Side_2 = \frac{6068\ in^2}{82\ in}[/tex]
[tex]Side_2 = 74\ in[/tex]
Hence, the length of the other side is 74 inches
3. You and your friends were playing basketball last week. You were short a
player, so your younger sister joined the game. She crushed it scoring 12
shots for 28 points.
How many 2 point and 3 point baskets did she score?
Answer:
she scored 8 2 pointers and 4 3 pointers
Step-by-step explanation:
Mrs. Walters drove 360 miles on 25 gallons of gas. Mr. Walters drove 480 miles on 32 gallons of gas.
b. Find the mileage per gallon for Mr. Walters's car.
Please explain how you got this answer
Answer:
Mr.Walters car can go 15 miles on one gallon of gas.
Step-by-step explanation:
To find this, you first want to put it into a ratio.
480:32
Next, you want to divide.
480/32
After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.
Answer:
15 miles
Step-by-step explanation:
i only need number 7 and 9 please help and show work
Answer:
9
1=49
2=131
3=131
Step-by-step explanation:
1=4
2,3=180-49
and you should answer 7 like this
Explain how to get the variable alone in the equation. 3x = 24
Answer:
to get rid of the 3 on the x you have to divide it by 3. whatever you do to one side you have to do to the other side so the answer would be x=8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
To get the variable alone you would divide both sides by 3. You do this because 3 is a common factor that both 3 and 24 have. Once you divide 3 on each side, you have x = 8 as your final answer.
Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Lupe was $11 an hour,but only received a $300 bonus. How many hours would they need to work in order to get paid at the same at tye end of the summer?
Answer:
Step-by-step explanation:
First make an equation,
8x+500=11x+300
Then, with pemdas, cancel out 300 and 8x
200=3x
Divide both sides by 3
Answer is 66.6 reapeating or about 67 hours
Escherichia coli is a prokaryotic bacterium. How will Escherichia coli reproduce? A. binary fission B. budding C. mitosis D. regeneration?
Answer:
A. binary fission
Step-by-step explanation:
Escherichia coli is a prokaryotic bacterium. Escherichia coli reproduce asexually by binary fission. While Escherichia coli is undergoing binary division, the process starts with elongation of the cell. Two similar copies of the bacteria is then replicated followed by the formation of a septum.
which expression is equivalent to,
2/3x+(-4)(-5)=5x?
A.1-X-91
B. 3x-1
C.1X-93x
D. X + 9
Someone help asap Ill give brainlest!
Answer:
y = -3x -2
Step-by-step explanation:
-2 is the y intercept
(What number makes the equation true? Enter the answer )4=20 divided by
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
We can divide 20 by 4 to find the other number that 20 is divisible by. 20 divided by 4 is 5. So, 20 divided by 5 is 4.
What is the inverse function of
Answer:
Step-by-step explanation:
i think its C? dont take my word for it
Simplify: -2(-4-7b) + 10b
Answer:
8+24b
Step-by-step explanation:
Answer:
2(12b+4)
Step-by-step explanation:
-2(-7b-4)+10b : Rearrange the expression
2 : Find the greatest common factor of the terms.
-2(-7b-4)+10b : Focus on
2(7b+4+5b) : Factor out the greatest common factor
2(12b+4) : Simplify
Hope that helps