Answer:
34.22 liters
Step-by-step explanation:
Step one:
Given data
A car averages 28.5 miles per gallon of gasoline
How many liters of gasoline will be needed for a trip of 415 km
let us convert 415km to miles first
1 km is 0.621371 miles
415km is x miles
cross multiply we have
x= 415*0.621371
x=257.86 miles
Step two:
if 1 gallon of gasoline will cover 28.5 miles
the x gallons will cover 257.86 miles
cross multiply we have
28.5x= 257.86
divide both sides by 28.5
x= 257.86/28.5
x=9.04 gallons
Step three:
let us convert gallons to liters
1 gallon is 3.78541 liters
9.04 gallons will be x liters
cross multiply we have
x=9.04*3.78541
x= 34.22 liters
Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 47.
you must also give the equation.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
Let the number be = nTwice the number n = 2nSum of twice the number and six = 2n+6Thirteen less than twice the sum of a number and six = 2n+6-13And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:[tex]2n+6-13 = 47[/tex]
Solving the algebraic expression
solving the equation for 'n'
[tex]2n+6-13 = 47[/tex]
[tex]2n-7=47[/tex]
Add 7 to both sides
[tex]2n-7+7=47+7[/tex]
Simplify
[tex]2n=54[/tex]
Divide both sides by 2
[tex]\frac{2n}{2}=\frac{54}{2}[/tex]
Simplify
[tex]n=27[/tex]
Triangle ABC is rotated 180 degrees around point B and then dilated to form triangle DBE as shown. Which postulate or theorem establishes that the triangles are similar? AA Similarity SSS Similarity SAS Similarity ASA Similarity
Answer:
AAA Similarity
Step-by-step explanation:
Given:
Triangles ABC and DBE
Required
Which postulate shows ABC and DBE similarity
From the question, we understand that the following transformation were done on ABC
RotationDilationIt should be noted that, when a triangle (e.g. triangle ABC) is rotated, the length of the sides and angle measurements remain unchanged.
However, when this triangle is dilated, the sides of the triangle change, but the angles remain unchanged.
Having said that,
When ABC is rotated and dilated to form DBE, we have:
[tex]\angle A = \angle D = a[/tex]
[tex]\angle B = \angle B = b[/tex]
[tex]\angle C = \angle E = c[/tex]
[See Attachment]
Hence, the postulate that answers this question is AAA (Angle-Angle-Angle).
Please help me with this
I’m give 46 points
Answer:
are you doing angles or are u trying to figure out the question mark at the top???
Step-by-step explanation:
One number is eight less than a second number. Three times the first is 6 more than 5 times the second. Find the numbers.
Answer:
12 times the 3 equals to around 36 seconds
Step-by-step explanation:
Help me please :( !
Kevin and christy both saved money for their class trip . Kevin saved the same amount each week . The total amount that Kevin saved at the end of every two weeks in shown in the table below .
Answer:
D. Christy saved $3 per week more than Kevin.
Step-by-step explanation:
We already know how much Christy saves per week, because of the equation y = 26x. She saves $26 per week.
To find Kevin's per week savings, divide y by x. I'll do (6, 138) as an example.
138 / 6
What multiple of 60 is closest to 138 without going over. That's 120.
138 - 120 = 18
Now we know the constant (k) is greater than 20.
18 / 6
6 goes into 18 three times.
20 + 3 = $23 per week.
$23/week is less than $26/week, so to say Kevin earned more than Christy in one week is wrong. As a result, A and C are out.
Now subtract 23 from 26 to get a $3 per week difference, which is D.
What are the values of m x and a
Answer:
The value of x is 3
The value of m is 5.25
The value of a is 1.75
Step-by-step explanation:
I attached the picture with labels to can solve
In the 2 Δs ADE and ACF
∵ DE // CF
∴ m∠ADE = m∠ACF ⇒ corresponding angles
∴ m∠AED = m∠AFC ⇒ corresponding angles
→ By using the AA postulate of similarity
∴ The two triangles are similar
∴ Their corresponding sides have the same ratio
∴ [tex]\frac{AD}{AC}[/tex] = [tex]\frac{EA}{FA}[/tex] = [tex]\frac{DE}{CF}[/tex]
∵ AD = AB + BC + CD
∵ AB = 3, BC = 6, CD = x
∴ AD = 3 + 6 + x
∴ AD = 9 + x
∵ AC = AB + BC = 3 + 6
∴ AC = 9
∵ AE = AG + GF + FE
∵ AG = 4, GF = 8, FE = 4
∴ AE = 4 + 8 + 4
∴ AE = 16
∵ FA = AG + GF = 4 + 8
∴ FA = 12
∵ DE = 7 and CF = m
→ Substitute them in the ratio above
∴ [tex]\frac{9+x}{9}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{7}{m}[/tex]
→ By using cross multiplication with the first 2 fractions
∵ 12 × (9 + x) = 9 × 16
∴ 12(9) + 12(x) = 144
∴ 108 + 12x = 144
→ Subtract 108 from both sides
∴ 108 - 108 + 12x = 144 - 108
∴ 12x = 36
→ Divide both sides by 12 to find x
∴ x = 3
→ By using cross multiplication with the second 2 fractions
∵ 16 × m = 12 × 7
∴ 16m = 84
→ Divide both sides by 16
∴ m = 5.25
In the 2 Δs ABG and ACF
∵ BG // CF
∴ m∠ABG = m∠ACF ⇒ Corresponding angles
∴ m∠AGB = m∠AFC ⇒ corresponding angles
→ By using the AA postulate of similarity
∴ The two triangles are similar
∴ Their corresponding sides have the same ratio
∴ [tex]\frac{AB}{AC}[/tex] = [tex]\frac{GA}{FA}[/tex] = [tex]\frac{BG}{CF}[/tex]
∵ AB = 3 and AC = 9
∵ GA = 4 and FA = 12
∵ BG = a and CF = m = 5.25
→ Substitute them in the ratio above
∴ [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{a}{5.25}[/tex]
→ By using cross multiplication with the second 2 fractions
∵ 12 × a = 4 × 5.25
∴ 12a = 21
→ Divide both sides by 12 to find a
∴ a = 1.75
What does x = ? 1 ÷ 11/2 = x
Answer:
x = 2/11
Step-by-step explanation:
1 ÷ 11/2 = x
1 · 2/11 = x (Used the opposite reciprocal and changed to multiplication. This is the same as dividing with the original fraction.)
2/11 = x
Answer:
[tex]1 \div \frac{11}{2} = x \\ \frac{1}{ \frac{11}{2} } = x \\ x = \frac{2}{11} \\ thank \: you[/tex]
Which of the following is equivalent to 1/10?
A.
2/100
B.
1/100
C.
10/100
D.11/100
Answer:
C) 10/100
Step-by-step explanation:
1/10
To change it into a different fraction we can multiply, and since we want it to get the denominator to 100, we multiply by 10, because 10 x 10 = 100.
1 x10 10
- -
10 x10 100
A measure of three angles of a triangle is shown below. What is the measurement of x? Record your answer in the gridable below.
x + (x + 2) + 38 = 180
2x + 40 = 180
2x = 140
x = 70
Consider the linear equation y = 2x - 4. Write an equation in slope-
intercept form for a line parallel to the given line through (-1,6).
Convert each rational number into its decimal form. 1. 1/3 2. 1/6 3. 1/9
Answer:
1. 0.33 2. 0.16 3. o.11
Step-by-step explanation:
Please help
Evaluate 7 + 5 to the power of 2 • 4.
Answer:
107
Step-by-step explanation:
7 + (5^2) x4
= 7 + 25x4
= 7 + 100
= 107
please HELP!!??!????!!!!
If there are 48 countries in Asia out of 195 countries in the world, what percent of countries are in asia? Please help, i don’t understand.
Answer:
24.61%
Step-by-step explanation:
48÷195=0.24615385
convert that decimal to a percent
24.61%
*********if the question asks you to round up, then the answer is 24.62%
Very easy question - please answer fast
Answer:
A
Step-by-step explanation:
Cause if you go up 1 and to the right three you get a point on the line
What is the range of the following relation:
(9,-2) (4, 3) ( 8, 10) (-4, 8)
Answer:
(-2, 3,10,8)
Step-by-step explanation:
The second component of ordered pair is always range.
12.3 + (62 - 11.8) - 1?
Answer:
61.5
Step-by-step explanation:
HELP ME PLS
Solve x-3y-6=0
I've tried solving this but I'm stuck -8=2/x
Answer:
-0.25
Step-by-step explanation:
-8= 2/x
multiply both sides by x -> -8x =2
divide both sides by -8 -> x=2/-8
Ans= -1/4 = -0.25
PLEASE HELP ASAP I WILL MARK BRAINLIEST IF MULTIPLE ANSWERS!!!
Are these two shapes similar?
And why?
Please help
Evaluate 6 to the power of 2 divided (3 + 9).
Answer:
3.272727
Step-by-step explanation:
6^2/(3+9)
= 6^2/(11)
= 36/(11)
= 3.272727
Given the known sides, solve for y
Answer:
We conclude that:
m∠y = 70.53°Step-by-step explanation:
From the given right-angled triangle,
Hypotenuse is 15The angle is ∠y The adjacent to angle ∠y is 5Using the trigonometric ratio,
cos y = adjacent / hypotenuse
substituting adjacent = 5, hypotenuse = 15
cos y = 5/15
cos y = 1/3
y = arc cos (1/3)
y = 70.53°
Therefore, we conclude that:
m∠y = 70.53°I need the second answer!?!?
Answer:
2³ · 3³
Step-by-step explanation:
[tex]\frac{6^{3} . 2^{6}}{2^{3} }[/tex]
= (6³/2³) · (2⁶)/(2³)
= 3³ · 2⁶⁻³
= 3³ · 2³
select the procedure that can be used to show the converse of the pythagorean theorem using side lenghths chosen from 6cm, 9cm, 12cm, and 15cm
Answer: what was it?
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Help please! Thank u so much 22 points for 5 questions
hi;augh4 vhaugawhfdb
Step-by-step explanation:
What is the first step in the solution of (x + 3)2 = 5?
Answer:
Step-by-step explanation:
it should be (x+3)2=5
xx2=2x+5=5
5-5=0
x=2
Answer:
(x+3)2=5
2(x+3)=5
2x+2x3=5
2x+6=5
(2x+6)+(-6)=5+(-6)
2x+6-6=5-6
2x=-1
2x/2=-1/2
x=-1/2
Need help with these 2
Thank you
Also, giving a lot of point because I've asked for a lot of help already only need these last 2
Answer:
19 is 38x - 3y - 34
20 would be yes
a^3•a^3=
b^-4•b^6=
(c^7d^8)(c^2d^5)=
3e^2•5e^9=
4^2•4^3
Pleaseeee answer
Answer:
2. 3. possible answer: (14, 13) and (1, 4). 4a. 1. 4b. 8 __. 5 , or 1.6. 4c. 9 __. 4 ... 2)(x. 3). The areas of the inner rectangles are x 2, 2x, 3x, and 6. The sum of the areas of the ... 2. C. 3a. c 27. 3b. c 5.8. 3c. c 9. 4. B: x represents the number of dozens of calls ... 3d. IQR 548. 3e. Answers will vary. Possible answer: The three top.
Step-by-step explanation:
Karl’s watering system rotates at a constant. One complete rotation takes 72 hours. Following the circular motion of the watering system, how many degrees was watered after TWO DAYS?
Answer:
After two days, 240 degrees was water.
Step-by-step explanation:
24 hours = 1 day
72 hr/24 hr = 3 days
Therefore, one full rotation takes 3 days.
1 rotation = 360 degrees
360 degrees/ 3 days = 120 degrees per day
120 degrees x 2 days = 240 degrees
240 degrees was watered after two days
This recipe makes 18 cupcakes.
Deepak only wants to make 12 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 18 cupcakes
12 ounces butter
6 ounces sugar
9 ounces flour
3 eggs
Answer:
Deepak only wants to make 12 cupcakes. Recipe: 8 ounces butter 4 ounces sugar 6 ounces flour 2 eggs
Step-by-step explanation:
Answer:
8 ounces of butter, 4 ounces of suger, 6 ounces of flour, 2 eggs
Step-by-step explanation:
