Answer:
1/15
Step-by-step explanation:
Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is 1/15.
the equation is...
d=15g
Now lets solve for 1 gallon of gas
d=15g
d=15(1)
d=15
This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.
15/1=15
1/15
please mark me brainliest :)
John received 3 detentions in the fourth quarter. He received 4 other
detentions for 1st and 2nd quarters combined. He received 12 for the
whole school year so how many detentions did he receive in the 3rd
quarter?
Answer:
5
Step-by-step explanation:
12 - (3+4)
12 - 7
12 - 7 = 5
5
Answer:
5
Step-by-step explanation:
12 - (3 + 4)
12 - 7
12 - 7 = 5
Find the areas of the trapezoids.
Answer:
30 square units
Step-by-step explanation:
i did this problem before.
The age of father is three times the age of son. If the age of son is 15 years old, then the age of father is:
50 years
55 years
45 years
40 years
Find distance of each
Answer:
4
Step-by-step explanation:
Since the y value is the same, we only have to look at the x value
-1 - -5
-1 +5
4
The distance is 4
Answer: The distance of this segment is 4 units
Step-by-step explanation:
Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:
d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²
We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.
d = √((-5) - (-1))² + ((-4) - (-4))²
d = √(-4)² + (0)²
d = √16 + 0
d = √16
d = 4
This furthermore proves that the distance between the two segments is 4.
Hope this helps! :)
In Macy’s, a coat has a regular price of x dollars. During a sale, the price of the coat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the coat. Which expression also describes the discounted price, in dollars, of the coat?
plz help me
Answer:
(1-20%)x or (1-0.2)x or x-0.2x
Step-by-step explanation:
True or False?
When multiplying powers with the same base, you subtract the exponents. When dividing powers with the same base, you multiply the exponents. When raising a power to a power, you divide the exponents? EXPLAIN YOUR REASONING
Answer:
False
Step-by-step explanation:
(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents
(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents
(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents
Find the greatest and the smallest numbers that can be written using three ‘ones’, decimal points and/or exponents.
Answer:
Biggest = 111
Smallest = 0.1^(11) = 0.00000000001
Step-by-step explanation:
The smallest number I believe you can get is 0.1^11 this results in a number of 0.00000000001 and I believe the biggest number is 111.
four men working together can create a trench in 42 days. they begin the job but one man works only half days. How long will it take to complete the trench?
Answer:
48 days
Step-by-step explanation:
Four men working together can create a trench in 42 days.
Find the number of man-days to complete the job
4*42 = 168 man-days
They begin, but one man works only half-days.
How long will it take to complete the job?
Let d = no. days to complete the trench
d(3 + 0.5) = 168
d(3.5)=168
3.5d = 168
d = 168/3.5
d = 48 days
These are my last points. I just wanted to give them away so the first one to answer correctly get the last points.
Answer:
x=-3
Step-by-step explanation:
\left(5^3\right)^2\cdot 5^{x+4}=5^7
Apply\:exponent\:rule
x+10=7
x=-3
Answer:
x = -3
Step-by-step explanation:
(5^3)^2 · 5^(x+4) = 5^7
First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.
(5^3)^2 = 5^(3·2) = 5^6
We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:
5^6 · 5^(x+4) = 5^7
We can divide 5^6 from both sides to get:
5^(x+4) = (5^7)/(5^6)
When exponents of like terms are divided we can subtract the exponents.
5^(x+4) = 5^(7-6)
5^(x+4) = 5^1
This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:
5^x · 5^4 = 5^1
We can divide both sides by 5^4.
5^x = (5^1)/(5^4)
We simplify the right side by the same way we did earlier when we divided exponents:
5^x = 5^(1-4)
5^x = 5^-3
We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:
x = log₅(5^-3)
If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.
So x = -3
Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:
x = -3(log₅5)
x = -3(1)
x = -3
Either way works.
If f (x) = 4x-3, what is f (x)?
Picture is the options
Answer:
I think it is option C, 3-4x
What is the missing number that will complete the
factorization?
6
8
12
24
Answer:
6
Step-by-step explanation:
6xa is 6a, just like how 2xa is 2a as shown
y+7=-2(x-3) write in slope form
Answer:
y=2x-3
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
y+7=-2(x-3) in slope formula would be y=2x-3, which also means the slope would be m=-2
I hope this helps :)
What is the vertex? *
y = (x - 1)² – 2
O (-2,-1)
O (-2,1)
O (1-2)
O (-1,-2)
In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.
therefore answer is (1,-2)
HELP ASAP!
A health insurance provider had net incomes of $356 million, $460 million and -$166 million in 3 consecutive years. What was the health provider's total net income for these three years?
Step-by-step explanation:
The total income would be $650 million.
Solve this inequality.
7x + 2 > 30
A.x 224
B.x > 196
C.x 4
D.x > 3
Answer:
x > 4
Step-by-step explanation:
7x + 2 > 30
Subtract 2 from each side
7x + 2-2 > 30-2
7x > 28
Divide each side by 7
7x/7 > 28/7
x > 4
Answer:
it is c
Step-by-step explanation:
When the two crews start working together, what part of all
the garbage bins will the first garbage truck empty?
The crew of a garbage truck takes 5 hours to empty all the
bins in one neighborhood on pickup day. The city assigned
a second garbage truck to this neighborhood. During their
training, it took the crew from the second truck 8 hours to
empty all the bins.
0.6
0.5
0.7
Time
(hours)
t
Part of Bins
Emptied
Rate
(part/hour)
1
5
0.4
First Truck
500
(9
1
t
Second
Truck
1
8
8
This question is not properly written
Complete Question
When the two crews start working together, what part of all
the garbage bins will the first garbage truck empty?
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.
Options
• 0.6
• 0.5
• 0.7
Answer:
0.6
Step-by-step explanation:
Let us say that the total hours worked by both trucks = t hours
Number of hours worked by first truck = 5 hours
Number of hours worked by second truck = 8 hours
Let 1 = total number of bins.
For the 1st truck the rate at which work was carried out is
(1 ) ÷ (5 ) = 1/5
For the 1st truck the rate at which work was carried out is
( 1 ) ÷ (8 ) = 1/8
Then,
(1/5 + 1/8) × t =1
(1/5 + 1/8) × t= 1
(13/40)t = 1
t = 1÷ 13/40
t = 1× 40/13
t = 40/13 hours.
Hence, the total hours worked by both trucks = 40/13 hours
the part of all
the garbage bins that the first garbage truck will empty is calculated as:
1/5 × 40/13 hr
1/5 × 40/13
= 0.6153846154
Approximately = 0.6
Therefore, when the two crews start working together, the part of all
the garbage bins that the first garbage truck will empty is 0.6 of the total work done.
Answer:
A) 0.6
Step-by-step explanation:
Plz Help!
Hank has cards that are 4 inches by 2 inches. A stack of these cards fits inside the box shown and uses up 8 cubic inches of volume.
L 4 in.
W 2 in.
H 2 in.
Part 1 out of 2
How tall is the stack of cards?
The stack is ___ inch(es) tall.
Which of the lines below is a line of symmetry?
A. Neither
B. Red
C. Yellow
D. Both
Answer:
d, both
Step-by-step explanation:
both separe two identical halves :)
Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.
What is Coordinate System?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.
We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.
In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.
Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.
To learn more on Coordinate system click:
https://brainly.com/question/30241634
#SPJ5
Please help me with my Algebra. :)
Answer:
[tex]\mathrm{D}[/tex]
Step-by-step explanation:
[tex]6x+5y=-2[/tex]
[tex]6(-2)+5(2)=-2[/tex]
[tex]-12+10=-2[/tex]
[tex]-2=-2[/tex]
[tex]\mathrm{Hence,\:it\:is\:true.}[/tex]
Answer:
A
Step-by-step explanation:
Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)
Answer:
Option D.
Step-by-step explanation:
Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).
Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.
Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]
= -[tex]\frac{16}{8}[/tex]
= -2
and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]
= [tex]-\frac{40}{8}[/tex]
= -5
Therefore, the point (x, y) is (-2, -5).
Option D. will be the answer.
The diameter of the Sun is about 1.4 x 10 to the 6th power km. The diameter of Earth is about 13,000 km.
What is the approximate ratio of the diameter of the Sun to the diameter of the Earth?
A. 1.08 x 10 to the 2nd power
B. 9.2 x 10 to the power of -3
C. 1.08 x 10 to the 3rd power
D. 9.2 x 10 to the 2nd power
Answer:
The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.
Step-by-step explanation:
In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,
[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]
The ratio is given by the Sun's diameter divided by the Earth's, as shown below:
[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]
The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.
What similarity property, if any, can be used to show that the following two triangles are similar
A. Not enough information given
B. AA
C. SAS
D. SSS
Please answer this
If you awnser this correctly I will give you more points
Answer:
1) 5m-10
Parts, 5m, -10
Operation, Subtraction
Word Expression, 10 less than the product of 5 and m.
Step-by-step explanation:
1) 5m-10
Parts, 5m, -10
Operation, Subtraction
Word Expression, 10 less than the product of 5 and m.
2) 12/2+7
6+7
13
3) 8y-(22)
Terms, 8y, 22
Operation, Subtraction
Word Expression, 22 less than the product of 8 and y.
Answer:
number 2 is 13 and number 3 is-2.75
Step-by-step explanation:
-2.75
What is 40% of 160?
A. 20
B. 40
C.
32
D. 64
E.
75
it's 64
AnswerD. 64
Step-by-step explanation:
Answer:
D.) 64
Step-by-step explanation:
What reason allows the following statement to be true?
Given AB + CD = JK and CD = 5, then AB + 5 = JK
Answer: Subtituting CD =5 in AB + CD = JK
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
• AB + CD = JK (equation 1 )
• CD = 5 (equation 2)
So, we simply have to combine the equations.
Substituting CD =5 in equation 1:
AB + CD = JK
AB+(5) =JK
Feel free to ask for more if needed or if you did not understand something.
How many solutions does the equation 4x + 8 = − 2 − 2 + 5x have?
Answer:
12 =x
There is one solution
Step-by-step explanation:
4x + 8 = − 2 − 2 + 5x
Combine like terms
4x+8 = -4+5x
Subtract 4x from each side
4x-4x+8 = -4+5x-4x
8 = -4+x
Add 4 to each side
8+4 = -4+4+x
12 =x
Answer: only one 4x+8=-4+5x
4x-5x=8+4
-1x=12
x=-12
Step-by-step explanation:
Which expression is equal to (−3x2−2)(4x2+1)? −12x4−11x2−2 −12x4−5x2−2 −12x2−11x−2 12x4−11x2−2
Answer:
[tex]-12x^4-11x^2-2[/tex]
Explanation:
Step 1 - Expand
[tex](-3x^2-2)(4x^2+1)[/tex]
[tex]-12x^4-3x^2-8x^2-2[/tex]
Step 2 - Combine like terms
[tex]-12x^4-3x^2-8x^2-2[/tex]
[tex]-12x^4-11x^2-2[/tex]
Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].
Answer:
On Edge, the answer is D. 31x2 – 2.
what does it mean that the fan data are numerical and univariate?
Answer:
The fact that the data is univariate means that there is only one variable – age, and the fact the data is numerical means it involves numbers – age.
I'm doing the test and this is what I put for my answer
The fuel efficiency of passenger cars has increased significantly since the 1970s. A linear model of this situation is given below, where x represents the number of years after 1970, and y represents the average miles per gallon. Interpret the slope.
A. For each year since 1970, passenger car fuel efficiency has increased by 0.29 gallons per mile.
B. For each year since 1970, passenger car fuel efficiency has increased by 13 gallons per mile.
C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.
D. For each year since 1970, passenger car fuel efficiency has increased by 13 miles per gallon.
its C not A because
For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.
Answer: The answer is C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.
Step-by-step explanation:
In a linear model of the form y = mx + b, m is the slope and b represents the y-intercept.
In this situation, 0.29 is the slope.
The slope is the ratio of the change in y to the change in x.
In context, the slope indicates an increase of 0.29 miles per gallon per year after 1970.
Therefore, the slope means that for each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.
Having trouble with this? Can someone explain this to me please?
Answer:
D
Step-by-step explanation:
D is the correct ratio. If his heart beats 12 times in 10 seconds, then it will beat 72 times in 60 seconds/1 minute if you use the proportion. D is the only correct ratio because it shows 72 beats:1 minute.
