Answer: About 14 liters of gasoline is required.
Step-by-step explanation:
On the map,
1 centimeter= 25 kilometers.
Distance the towns along the highway is 4.5 centimeters.
Actual distance = 4.5 x 25 km
= 112.5 km
Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving.
Total gasoline required = 0.123 x 112.5 km
= 13.8375 liters≈ 14 liters
hence, about 14 liters of gasoline is required.
What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
Answer:
It Is 0.8
Step-by-step explanation:
I took the quiz
in a salad with vegetables containing 50 calories dressing is added at 100 calories per ounce. The total number of calories can be represented by the equation f(x) = 100x +50. What is the reasonable range for the situation?
Answer:
Step-by-step explanation:
To get the reasonable range of the situation, we will find the minimum value and maximum value of the calories that can be dressed.
The minimum occur at when x = 0
f(0) = 100(0) +50.
f(0) = 50
Hence the minimum value of the calorie is 50.
The maximum value occur at f'(x)
f'(x) = 100
Hence the maximum value of the calorie is 100
Hence, the reasonable range for the situation is 50 ≤ x ≤ 100
When the function y=x is changed to y=|x|, how is the graph affected?
A. All points for x 0 are reflected over the line y=x.
B. All points for x 0 are reflected over the line y=x.
D. All points for x > 0 are reflected over the x-axis.
Answer:
First, the function:
y = x
Is:
Positive if x > 0
Negative if x < 0
Now, on another hand, the function y = IxI is:
Positive if x < 0
Positive if x > 0.
Then the only part that changes is the negative side of the domain, and the thing that changes is the sign (the change of sign is equivalent to a reflection over the x-axis or the line y = 0".
Then the correct option is:
"All points for x < 0 are reflected over the x-axis"
I suppose that this is option C, the missing one.
What is the approximate value of 8√ to the nearest tenth?
Answer:
10 definitely. I am right
proportions please help!
Answer:
[tex]\huge\boxed{x=-12}[/tex]
Step-by-step explanation:
In order to solve for this proportion, it’s important to note that this is basically just an equation. Like any other, our goal is to isolate x on one side.
Since we have two fractions, we can multiply both sides by both the denominators (x-3 and x-9). Since one will cancel out the other, we can just multiply both sides by the opposite denominator.
[tex]5(x-9)=7(x-3)\\\\5x-45=7x-21[/tex]
Now we can solve for x.
Subtract 5x from both sides:
[tex]-45=2x-21[/tex]
Add 21 to both sides:
[tex]-24=2x[/tex]
Divide both sides by 2:
[tex]x = -12[/tex]
Hope this helped!
Answer:
[tex]x= -12[/tex]
Step-by-step explanation:
Step 1: Write equation
[tex]\frac{5}{x-3} =\frac{7}{x-9}[/tex]
Step 2: Solve for x
Cross multiply: [tex]5(x-9)=7(x-3)[/tex]Distribute: [tex]5x-45=7x-21[/tex]Subtract 5x on both sides: [tex]-45=2x-21[/tex]Add 21 to both sides: [tex]-24=2x[/tex]Divide both sides by 2: [tex]-12=x[/tex]Rewrite: [tex]x= -12[/tex]Step 3: Check
Plug in x to verify it's a solution.
[tex]\frac{5}{-12-3} =\frac{7}{-12-9}[/tex]
[tex]\frac{5}{-15} =\frac{7}{-21}[/tex]
[tex]\frac{-1}{3} =\frac{-1}{3}[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP WILL MARK BRAINLISTTT
Answer:
Y=8
ST=31
RT=81
Step-by-step explanation:
;)
find the slope of the line through each pair of points (-4,-3), (7 , 1)
HELP HELP HELP PLZ ITS DUE IN 5 MINUTES
Answer:
14.58
Step-by-step explanation:
1.08 is tax multiplied by 15 is 16.20 after tax. 90% of that is 14.58
Answer:
you pay 15.3 dollars
Step-by-step explanation:
15 times 0.1 is 1.5
15 times 0.08 is 1.2
15-1.5+1.2=15.3
Two stores sell CDs in packages, as shown in the table below.
CD Prices at Store A
Number of CDs in Package
1
12
20
45
Cost
$0.70
$8.40
?
$31.50
CD Prices at Store B
Number of CDs in Package
1
20
30
65
Cost
$0.60
?
$18.00
$39.00
If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
The cost at Store A is $2.00 greater than at Store B.
The cost at Store B is $2.00 greater than at Store A.
The cost at Store A is $1.00 greater than at Store B.
The cost at Store B is $1.00 greater than at Store A.
Answer:
The answer is B
Step-by-step explanation:
the cost at store b is 2.00 greater than store a
Answer: b is the answer
Step-by-step explanation:
I promise you your gonna have a bright future if u do this by the time u turn 21 and I'll even brainlist u (just do questions u know leave the ones u don't)
Stuck on these couple of questions could i get help??
Answer:
1=51 3=51
Step-by-step explanation:
So we know since the line are parlle that the angles for each would be idetical
so 6,8,2, and 4 would all have same angle of 129
to find the other angles we would subtract 180 (the degree of a stright line) from 129 getting 51
so now we know that angles 1,3,5 and 7 are 51 degrees
Lionel walks 3/5 mile in 1/3 of a day. Cristiano walks 5/8 mile in 2/6 of a day.
Who walked farther, Cristiano or Lionel? How much did each boy walk in 1 day?
Answer:
Cristiano walked farther In 1 day: Lionel walked 1.8 mile Cristiano walked 1.875 mileStep-by-step explanation:
2/6 = 1/3 so we just need to know what is more 3/5 or 5/8
3/5 = (3•8)/(5•8) = 24/40
5/8 = (5•5)/(8•5) = 25/40
25 > 24 so 5/8 > 3/5
so Cristiano walked farther
They walk for 1/3 of a day so in a whole day they walk three times the distance
3/5 • 3 = 9/5 = 1 4/5 = 1.8 mile
5/8 • 3 = 15/8 = 1 7/8 = 1.875 mile
Please answer correctly, work is optional.
Use the diagram and the given angle measure to find the other three measures.
Answer:
m∠2 = 37°
m∠3 = 143°
m∠4 = 37°
Step-by-step explanation:
From the figure attached,
Two arms of the scissors represent he two lines intersecting each other at a point forming pairs of vertical angles ∠1, ∠3 and ∠2, ∠4.
By the definition of vertical angles,
∠1 ≅ ∠3 and ∠2 ≅ ∠4
Since, m∠1 = 143°
Therefore, m∠1 = m∠3 = 143°
m∠1 + m∠2 = 180° [Since linear pair of angles are supplementary]
143° + m∠2 = 180°
m∠2 = 180° - 143° = 37°
Therefore, m∠2 = m∠4 = 37°
Please answer thank you.
Answer:
a = [tex]\frac{h-r}{b}[/tex]
Step-by-step explanation:
Given
h = ab + r ( subtract r from both sides )
h - r = ab ( isolate a by dividing both sides by b )
[tex]\frac{h-r}{b}[/tex] = a
Let p=x^2+6p=x 2 +6p, equals, x, start superscript, 2, end superscript, plus, 6. Which equation is equivalent to (x^2+6)^2-21=4x^2+24(x 2 +6) 2 ?21=4x 2 +24left parenthesis, x, start superscript, 2, end superscript, plus, 6, right parenthesis, start superscript, 2, end superscript, minus, 21, equals, 4, x, start superscript, 2, end superscript, plus, 24 in terms of p ?
Answer:
(p+3)(p-7) = 0
Step-by-step explanation:
Given p=x^2+6p and (x^2+6)^2-21=4x^2+24
We are to substitute the the p = x²+6 into the expression as shown;
The expression (x^2+6)^2-21=4x^2+24 will become
(x²+6)²-21 = 4(x²+6)
On substituting p, the expression becomes;
p²-21 = 4p
Subtract 4p from both sides
p²-21-4p = 4p-4p
p²-4p-21 = 0
p²-7p+3p-21 = 0
p(p-7)+3(p-7) = 0
(p+3)(p-7) = 0
Hence the expression in terms of p is (p+3)(p-7) = 0
Answer:
Step-by-step explanation:
Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)
First find the equation of y.
[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]
Find the slope m.
[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].
Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.
[tex]9=1(-3)+n\implies n=12[/tex].
The equation of a line y is:
[tex]y=x+12[/tex].
The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:
[tex]k=-\frac{1}{m}=-1[/tex].
The equation of a perpendicular bisector is thus:
[tex]y_{\perp}=-x+12[/tex].
Hope this helps.
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Using the given points, first find the slope:
m = (₂ - y₁) / (x₂ - x₁)
= (5 - 9) / (-1 - (-3))
= -4 / 2
= -2
Find y-intercept by using anyone of the give points and slope from above:
y = mx + b
5 = -2(-1) + b
5 = 2 + b
b = 3
With the m and b, you can make equation of line:
y = mx + b
y = -2x + 3
To find the perpendicular slope, make it opposite and inverse it.
m = -2 becomes 1/2
Regular equation of line:
y = -2x + 3
Perpendicular equation of line:
[tex]y = \frac{1}{2} x + 3[/tex]
please answer quickly its for a test!
Answer:
a) 3710
b) 3932.6
Step-by-step explanation:
well I'm assuming youre not cheating, but i hope you can understand this because it's pretty crucial beyond math class
anyway it's just
a) 3500 + .06(3500) = 3710
b) (3500 + .06(3500)) + (3500 + .06(3500))*.06 = 3932.6
Austin is building a shed based on blueprints he found online. The scale on the blueprints is 1 inch to 24 inches. If the shed’s window in the blueprints is 1.5 inches wide by 0.75 inches tall, what size window should he buy?
18 inches wide by 9 inches tall
24 inches wide by 12 inches tall
36 inches wide by 18 inches tall
60 inches wide by 36 inches tall
HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
State whether the percent of change is a percent of increase
or a percent of decrease. Then find the percent of change. original: 60, new: 75
Answer:
it's a percent of increase
Which statement is TRUE about 300?
A)
It lies between 14 and 15 on a number line.
B)
It lies between 15 and 16 on a number line.
)
It lies between 16 and 17 on a number line.
D)
1t lies between 17 and 18 on the number line.
Eliminate
Answer
the answer is D
Step-by-step explanation:
the square root of 300 is 17.3
so there for it lies between 17 and 18
Suppose that the grade 7 student expected to sell between 100 and 150 hotdogs. How many packages of 12 wieners and 8 buns should the students buy if they don't want any leftovers ?Justify your answer .How many packages of each should they buy if they expect to sell more than 300 hotdogs.
Assuming that 1 wiener and 1 bun required to sell 1 hotdog.
Given that there are 12 wieners and 8 buns in 1 packet of each.
Let m be the minimum numbers of hotdogs for no leftover wieners or buns.
So, m must be a number which is divisible by both 12 as well as 8.
The smallest number which is the common multiple of both 12 as well as 8 is the highest common factor (H.C.F.) of 12 and 8 which is 24.
So, m=24
At this pint, note that 24 is the minimum number of hotdogs that students can sell with no leftover wieners or buns. For this, they need 2 packets of wieners and 3 packets of buns.
So, 1 m hotdogs required 2 packets of wieners and 3 packets of buns
But, here the number of hotdogs is between 100 and 150.
The next possible number of hotdog wit no leftover wieners or buns is 48 which is 2m, the next will be 3m, and so on.
In fact, any multiple of m will be divisible by 12 as well as 8, so there will not be any leftover wieners or buns.
So, 24n hotdogs require 2n packets of wieners and 3n packets of buns,
where n is a counting number.
Now, find the multiple of 24 in between 100 and 150,
The first multiple is 24x5=120
So, 120 hotdogs require 2x5=10 packets of wieners and 3x5=15 packets of buns
The second multiple is 24x6=144
So, 144 hotdogs require 2x6=12 packets of wieners and 3x6=18 packets of buns
If the students want to sell more than 300 hotdogs:
The minimum number which is multiple of 24 is 24x13=312, the next number is 24x14=336, and so on
For this n=13, 14, 15, ...
So, they need to buy 2n packets of wieners and 3n packets of buns to sell 24n packets of hotdogs for no leftover.
For the minimum number of 312 hot dogs, they need to buy 2x13=26 packets of wieners and 3x12=36 packets of buns.
2x + 9.75 - 7x= 5.15
Answer:
the answer would be X=0.82
Terry's mother combines 1.5 liter bottles of juice with two 0.25 liter cans of sparkling water to make punch. what is the total amount of punch that Terry's mother make?
Answer:
1.75 liters
Step-by-step explanation:
You would add 1.5 and 0.25 together and that would be the total.
Last summer, Troy Yaeger earned $2,855 . Troy is single and is not claimed as a dependent by anybody else. He will take the standard deduction of $5,450. His employer withheld $240 of his wages for income taxes. What is the amount of Troy's tax refund?
Answer: 8,545
Step-by-step explanation:
Simplify the expression -4(-10 + 2n)
Answer:
40-8n
Step-by-step explanation:
We distribute the -4 over to the values in the parenthesis to get 40-8n.
Graph the Linear Function h(x) = -2x - 4
The table lists the number of students from Windy Brook Middle School at the state fair. What is the ratio of sixth graders to the total number of students at the fair?
5th grade=6
6th grade=4
7th grade=5
8th grade=3
Answer:
2 : 9
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
Find the inverse of the given function.
(f) = -5x-9
Answer:
x=-4
Step-by-step explanation:
Answer: -x+9/5
Step-by-step explanation:
Help me out thank you an please