Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
Helllohello help please if you want -
Answer:
True
Step-by-step explanation:
Let's take a problem such as 3x-2=6
To isolate the variable, you must get rid of everything on one side and essentially do the inverse to the other side. We see -2, so you have to add 2 to each side.
Now you have 3x=8
Next, we device each side by 3. Right now, x is being multiplied by 3 so we have to do the inverse.
Answer is x = 8/3 or 2.666666666666667
Answer:
true
Step-by-step explanation:
Oel visits a department store to pick a pack of salted mixed nuts. A pack of 15 oz. Is priced at $7.50 and the offer on a pack containing 25 oz. Is $11.75. Which pack is the better buy
Help ASAP Please! This is timed, and I only have 45 minutes left to answer the rest of these questions. I will award 100 points and brainly to whoever can give me the equation. Help Please Time is on the essence, and If i fail this I risk failing the class
Answer:
y = 6/7x - 37/7
Step-by-step explanation:
m = 6/7
(5, -1)
y - y1 = m(x - x1)
y + 1 = 6/7(x - 5)
y + 1 = 6/7x - 30/7
y = 6/7x - 37/7
Answer:
Step-by-step explanation:
Start by the point-slope form and given slope = 6/7 and point (5, -1)
(y-(-1)) / (x-5) = 6/7
7(y+1) = 6(x-5)
7y = 6x - 37
y = 6x/7 - 5 2/7
which is the answer in slope-intercept form
In Eduardo's collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, choose the expression that represent the number of butterflies he has.
Answer:
y = 12 + 2x
Step-by-step explanation:
Given that :
Let number of butterflies = y
Number of moths = x
y = 12 more than twice the number of moths
y = 12 + 2x
Hence, the expression which relates the number of butterflies he has is :
y = 12 + 2x
The 2000 population of a city was 705,000 and was increasing at the rate of 1.51% each year. At that rate, when will the population be 1 million
Answer:
The population would be 1 million in 2024.
Step-by-step explanation:
In order to find the answer you can use the population growth formula:
A= P*e^rt
A=Population after time=1,000,000
P= Starting population=705,000
e= Euler number that is equal to 2.718
r= rate of growth=0.0151
t= time
Now, you can replace the values on the formula and solve for t:
1,000,000 = 705,000*e^0.0151t
1,000,000/705,000 = e^0.0151t
ln(1,000/705) = ln(e^0.0151t)
ln(1000/705) = 0.0151t
t = [ln(1000/705)]/0.0151
t = 23.14 years
According to this, the answer is that the population would be 1 million in 2024.
can you help me solve this
4x + 33 / 9 = -9
Answer:
4x + 33 / 9 = -9
multiply both side by 9;
9x(4x + 33 / 9 )= -9 x(9)
36x + 33 =-81
36x = -81-33
36x = -114
x = (-114)/36
Step-by-step explanation:
Answer:
4x+33/9= -9 (reduce the fraction)
4x+11/9= -9 (move the constant to the.
right)
4x = -9- 11/9
4x = -38/3 (divide both sides by 4)
x = -19/6
What is the answer for b?
Answer:
a+69=180
a=180-69
a=111
In triangle sum of all angle is 180 degree. Therefore;
b+69+73=180
b+169=180
b=180-142
b=38
Step-by-step explanation:
Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!
Answer:
[tex]x=\frac{3}{4}=0.75[/tex]
Step-by-step explanation:
From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.
In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:
[tex]4x+5=8[/tex]
[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])
[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
Find the Equation of the lines.
The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.
Which expression represents the distance around the composite figure
A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx
Answer:
10x + 2pix
Step-by-step explanation:
An oblique candle with a volume of 270 cubic centimeters is 18 centimeters tall. The width of the triangular candle base is 5 centimeters, and the width of the slanted candle is 7 centimeters. An oblique triangular prism has a volume of 270 cubic centimeters. The vertical height is 18 centimeters. The width of the triangular bases is 6 centimeters, and the width of the slanted prism is 7 centimeters. What dimensions of the box are required to fit the candle? 5 cm by 6 cm by 18 cm 7 cm by 6 cm by 18 cm 5 cm by 3 cm by 18 cm 7 cm by 3 cm by 18 cm
Answer:
7 cm by 6 cm by 18 cm
Step-by-step explanation:
Given :
Volume of candle = 270cm³
Height = 18cm
Triangular base = 5cm
Width of candle = 7cm
Volume = Area of base * height
270cm³ = Area of base * 18
Area of base = 270cm³ / 18cm
Area of base = 15 cm²
Using this to find the height of triangular prism :
Area = 1/2 * base * height
15cm² = 1/2 * 5 * height
15cm² = 2.5 *. Height
Height = 6 cm
Hence, the dimension of triangular prism is : 7cm by 6cm by 18cm
Answer:
7 cm by 6 cm by 18 cm
Step-by-step explanation:
its D
What is the measure of an angle that is the complement of angle A?
A. 135
B. 5
C. 45
D. None of the above
E. 55
What is the volume and total surface area?? PLEASE HELP
Step-by-step explanation:
the volume would be inside of the spear so i could be wrong but you would do 10 multiplied by 21 and you get 210. IF you did base and height the base would be 10ft and the height would be 21ft then you just do base times height and that gets you 210 . i could be wrong though
HeLP ME Plewse I’m having trouble
Answer:
1. 324 cm
Step-by-step explanation:
2. 150 cm
find the volume of each figure.show your work. Use 3.14 for pi. Round to the nearest hundredth
number 5 is a 3**
The parallelogram shown below has an area of 72 units?.
h
13
Find the missing height.
Answer:
area is given base is given so area of parallelogram =b x h
or 72=13 x h
or h =72/13=5.5 units
Answer:12
Step-by-step explanation:
what is the answer??? Please help me!
16% of 40 =
Answer:
16/100*40
32/2
lol so simple
gg
Please help due in 15 minutes!!!!!
Answer:
44ft
Step-by-step explanation:
The formula for circumference is 2 * π * radius and in this case we want to use 3.14 for π and so we do 2 x 3.14 x 7 because the radius is half of the diameter (14) and once you do that you end up getting 43.96 and once you round you get 44ft so you are correct.
please explain how to do this
Answer:
Step-by-step explanation:
Sam ran several errands and used 7 gallons of gas. There were 5 gallons left in the tank. (Use g as a variable.)
Answer:
[tex]g= 2[/tex]
Step-by-step explanation:
Given
[tex]Used = 7[/tex]
[tex]Left = 5[/tex]
Required
Determine the additional gallons used (g)
This is calculated as:
[tex]Left+ g= Used[/tex]
So, we have:
[tex]5 + g = 7[/tex]
Make g the subject
[tex]g = 7 - 5[/tex]
[tex]g= 2[/tex]
A parade traveled 12 miles in 3 hours. How far did the parade travel per minute?
Answer:
176 feet per minute
Step-by-step explanation:
Please complete the table because I've seen other people ask the question but the answer we wrong.
Answer:
30-15,40-80,14-28
Step-by-step explanation:
6/3 =2 so multiply all by two but the last you divide by 2
The number of dimes is 3 more than twice the number if nickels.The total value of the coins is $7.05.How many of each type of coin did she find?
Answer:wait can you umm rewrite this i dont get it
Step-by-step explanation:
I went to the grocery store and my subtotal was $78.00. There is a 4.5% sales tax. How much tax do I have to pay on my subtotal of $78.00
Answer:
3.51
Step-by-step explanation:
Answer:
74.48
Step-by-step explanation:
78.00*0.045=3.52
78-3.52=74.48
Please help.... I don’t understand
Answer:
$5
Step-by-step explanation:
Set up a system of equations
let b be the cost of a bow
let w be the cost of a roll of wrapping paper
This means that
[tex]5b + w = 10\\b + w = 6[/tex]
Subtract the two equations
[tex]5b + w = 10\\- (b + w = 6)\\4b = 4\\b = 1[/tex]
Plug this into the equation b + w = 6
1 + w = 6
w = 5.
This means the cost of a bow is $1 and the cost of a roll of wrapping paper is $5.
alex works for his father assembling clock motors he is paid a piecework rate of $8.50 per motor. this week he assembled 21 motors
Answer: $178.50
Step-by-step explanation:
If Alex is paid a piecework rate of $8.50 per motor, then;
Price per motor assembly = $8.50
By assembling 21 motors Alex gets,
1 motor = $8.50
21 motors = (21 * $8.50) / 1
= $178.50 / 1
= $178.50
By assembling 21 motors,
Alex gets $178.50
Please help me with this, it's urgent and due tonight (Ylasterdev125 do not try to answer this with your petty virus file)
Answer:
domain is (-1 , 2) and the range is (0 , 4)
what is 1,000,10023 + 2,733,493,873,663+ 999999999+199999287- 124,345,880,6
Answer:
2733550424166
Step-by-step explanation:
can I get brainliest
A furniture store bought a couch for $425 and marked the price up by 70%. Angela bought the couch with a 6% tax. How much did Angela payoff the couch?
Answer:
454.68
Step-by-step explanation: so this is how u do it......
Step 1) you need to turn the pursent into this kind of number ( 70% = 0.07)
Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)
Step 3) 424.93 is the sale price so 0.07 times 424.93 = ( 29.7451)
Step 4) 29.7451 is our tax price so ( tax + sale price ) 29.7451 + 424.93 = 454.6751
Step 5) round to the nerest cent = 454.68
WILL MRAK BRAINLIESTTTT IF GOTTEN RIGHT DONT ANSWER IF U DONT KNOW!
Answer:
BC=4
Step-by-step explanation:
didn't i do this already lol
