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.
The perimeter of a rectangle is 120cm. The ratio of the length to the with is 3 to 2. What is the length of the longer side of the rectangle?
2. Solve 3^4x-5 = (1/27)^2x+10 for x. Show your work
I know it equals around the negatives but that's it
It looks like the equation is supposed to read
3⁴ˣ ⁻ ⁵ = (1/27)²ˣ ⁺ ¹⁰
Recall that 3³ = 27, so 1/27 = 3⁻³ :
3⁴ˣ ⁻ ⁵ = (3⁻³)²ˣ ⁺ ¹⁰
Distribute the exponent on the right side:
3⁴ˣ ⁻ ⁵ = 3 ⁻⁶ˣ ⁻ ³⁰
The exponents must be equal for this equation to hold, so
4x - 5 = -6x - 30
Solve for x :
10x = -25
x = -25/10 = -5/2
The points (0, 0), (–3, 3), and (0, 6) are three vertices of a square. What are the coordinates of the fourth vertex of the square?
Answer:
(3,3)
Step-by-step explanation:
11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35
Answer:
7 x = -35
Step-by-step explanation:
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35
In this problem we need to add the equations below i.e.
11x-3y = -17 and -4x+3y=-18
Adding both equations,
11x-3y+(-4x)+3y = -17+(-18)
7x= -35
or
7 x = negative 35
Hence, the correct option is (c).
How do you solve this
Please help its due soon!!
Answer:
expand from what expression?
Answer:
a, b, c and d stay the same.
e = 108[tex]y^{3}[/tex]
f = [tex]x^{3} + x + 8[/tex]
That's all.
I hope it helps!! ^-^
what is the lcm of 24,30 and 36 ....pls do a step by step
If the sum of the squares of the legs of a right triangle are = to 144, the hypotenuse is...
Answer: 12
Step-by-step explanation:
H^2=144
Square root of 144
H=12
1. What is the decimal equivalent of 3/
9? 0.2 0.3 0.4 0.5
The lenght of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the length, in units, of the rectangle?
Answer:
The length of this rectangle is 6 units.
Step-by-step explanation:
Let the width of the rectangle be x.
x • (x+2) = 48
x^2+2x=48
x^2+2x-48=0
x^2 - 6x + 8x - 48
x(x-6) 8(x-6)
(x+8)(x-6)
x=-8,6
Answer:
6+2=8 units..............
Find the x- and y-intercepts of the graph of 5x +y = 7. State your answers as whole
numbers or as improper fractions in simplest form.
Answer:
x-intercept (7/5,0) simplest form [tex]1\frac{2}{5}[/tex]
y-intercept (0,7)
Step-by-step explanation:
5x+y=7
5x+0=7
5x=7
x=7/5 simplest form [tex]1\frac{2}{5}[/tex]
5x+y=7
0+y=7
y=7
Hiram asked his math class, "How many pets do you own?" He graphed the results on the line plot.
Which of the following is the BEST description of the data?
A.The mean is about 3.1; there are no gaps or outliersa peak at 2; and the data is not symmetrical.
B. The median is 2.5; the distribution is symmetrical; and there are no gaps or outliers.
C.The range is 7there is a peak at 5; and 6, 7and are outliers
D. The mode is 2; the data is skewed to the right; and there is a gap from 3-4
Answer:
B The median is 2.5; the distribution is symmetrical; and there are no gaps or outliers.
Step-by-step explanation
when I find the median it gets to 2, 3 so I get 2.5 no gaps and 0-7 isn't that far
Answer:
B
Step-by-step explanation:
Megan and her little sister, Nora, counted their Halloween candy after trick-or-treating. They love taffy and wanted to know who collected more taffy pieces compared to the rest of the candy. In Megan's bag, 20 out of the 50 candy pieces were taffy. In Nora's bag, 11 out of the 25 pieces were taffy. Who got the greater ratio of taffy to total candy pieces?
Answer:
Nora
Step-by-step explanation:
M 20 : 50 = 2/5
N 11/25
2/5 = 10/25 < 11/25
WILL GIVE BRAINLIEST
The tax rate is 8.5%. What is the tax on $95 round to the nearest hundredth
Answer:
8.075 original, rounded 8.01
Step-by-step explanation:
8.5%=0.085 x 95 = 8.075 or 8.01 rounded
In circle E with m \angle DEF= 70m∠DEF=70 and DE=13DE=13 units find area of sector DEF. Round to the nearest hundredth.
Answer:
103.18units³
Step-by-step explanation:
Area of the sector DEF = theta/360 * πr²
r is the radius
theta is the angle subtended at the centre
theta =70 degrees
radius DE = 13units
Substitute
Area of the sector = 70/360 * 3.14(13)²
Area of the sector = 7/36 * 530.66
Area of the sector = 3,714.62/36
Area of the sector = 103.18units³ (to the nearest hundredth)
Answer: 103.24
Step-by-step explanation:
What is the most common number of sit-ups completed in 1 minute? Explain how you used the dot plot to identify this number.
Write your answer in the space below.
Answer:
38.
Step-by-step explanation:
38 is the highest column in the plot.
Answer:
Heya
Step-by-step explanation:
the most common number of sit-ups completed in 1 minute is 38
hope it will be helpful :)
What is the area of this figure
So you basically have to find the area as if it were a rectangle, which would be 19*13, which is 247. Then, you find the area of the corner taken out and subrtact it, so 3*4 is 12, and 247-12 is 235.
Through:(2,-5),slope=3/2
Neil has been running a tutoring business since 2005. He charges a monthly fee for weekly tutoring sessions and a phone help line. Each year, he has increased his fee by the same amount. The table shows what Neil charged each customer for two given years of his business:
Year Annual Tutoring Fee
2005 $1200
2008 $1350
A. What is the rate of change and initial value for Neil’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Neil charges each year.
Answer:
The answer is 2550
Step-by-step explanation:
Add 1200 and 1350 it'll give you 2550
Answer:
250
2550
Step-by-step explanation:
sorry if wrong but I think
A=250
B=2550
factor the expression pls! 35-40x
Answer:
5(7-8x)
Step-by-step explanation:
Answer:
it will be 5 (7 - 8x)
Step-by-step explanation:
5 times 7 is 35 and 5 times 8 is 40
Write a fraction for each percent.
75% of 96
Answer:
72/96
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST TY
Answer:
A. x=3
Step-by-step explanation:
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
___________________________________
[tex]\huge\underline{\tt{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶- 3(5x + 6) - 3x = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶(-15x - 18) - 3x = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 15x - 3x)- 18 = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 18x)- 18 = 6 - 6x}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶( - 18x) + 6x = 6 + 18}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶-12x = 24}[/tex]
[tex]\quad\quad\quad\quad\tt{⟶\frac{-12x}{-12} = \frac{24}{-12} }[/tex]
[tex]\quad\quad\quad\quad\tt{ ⟶\frac{ \cancel{ \red{-12}} \: x}{ \cancel{ \red{-12}}} = \frac{24}{-12} }[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\tt{x = -2}}[/tex]
[tex]\huge\underline{\tt{\red{Answer:}}}[/tex]
[tex] \huge\quad\quad \underline{\red {\boxed{ \tt{x = -2}}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
the weight of 65 books is 13 kg what is the weight of 80 Such books
Complete the following
a)
3
5
20
b)
11
25
30
6.
Answer:
The answer should be B
Please help!! Geometry, will mark brainliest!
Answer:
n = 36
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , that is
AB = DC , substitute values
[tex]\frac{2}{3}[/tex] n - 5 = [tex]\frac{1}{3}[/tex] n + 7 ( multiply through by 3 to clear the fractions )
2n - 15 = n + 21 ( subtract n from both sides )
n - 15 = 21 ( add 15 to both sides )
n = 36
Answer:
n = 36
Step-by-step explanation:
AB = DC because it is a parallelogram
so:
2/3n - 5= 1/3n + 7
simplify by adding 5 to each side of the equation:
2/3n = 1/3n + 12
simplify by subtracting 1/3n from both sides of the equation:
1/3n = 12
multiply both sides of the equation by 3:
n = 36
Someone help and plz make sure it’s right
Answer:60
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
180 is the angle value of every triangle
180-50-70=60
Hope I helped
HELP giving brainlest and more points
Answer:
the answer is 7.2 10³
Step-by-step explanation:
7.2 10³
Which of the following transforms this non-statistical question into a statistical question? How much food does your dog eat?
Answer:
A) Not statistical /this question is answered by counting the number of days in March. This produces a single number. This number is not answered by collecting data that vary.
B) Not Statistical/ this question is answered by a single number. It is not answered by collecting data that vary.
C) Statistical/ this question would be answered by all collecting data, and there would be variability in that data.
D) statistical/ this question would be answered by collecting data, and there would be variability in that data
E) Not Statistical/ this question is answered by a single response. It is not answered by collecting data that vary.
F) not statistical/ this question would be answered by counting the bricks. This produces a single number. This question is not answered by collecting data that very
G) non-statistical/ there is only one temperature
Answer:I think it’s possibly A it’s what I got on my test and got it right.