Answer:
B.
Step-by-step explanation:
51 miles / 3 gallons = 17 miles per gallon
its b i did the test
Point S is on line segment RT. Given RS = 4x – 10, ST = 2x – 10, and
RT = 4x – 4, determine the numerical length of RS.
Answer:
The numerical length of RS is 22 units
Step-by-step explanation:
∵ Point S is on the line segment RT
→ That means S divide RT into two parts RS and ST
∴ RS + ST = RT
∵ RS = 4x - 10
∵ ST = 2x - 10
∵ RT = 4x - 4
→ Substitute them in the statement above
∴ 4x - 10 + 2x - 10 = 4x - 4
→ Add the like terms in the left side
∴ (4x + 2x) + (-10 + -10) = 4x - 4
∴ 6x + (-20) = 4x - 4
∴ 6x - 20 = 4x - 4
→ Add 20 to both sides
∴ 6x -20 + 20 = 4x - 4 + 20
∴ 6x = 4x + 16
→ Subtract 4x from both sides
∴ 6x - 4x = 4x - 4x + 16
∴ 2x = 16
→ Divide both sides by 2 to find x
∴ [tex]\frac{2x}{2}=\frac{16}{2}[/tex]
∴ x = 8
→ Substitute the value of x in Rs to find its length
∵ RS = 4(8) - 10
∴ RS = 32 - 10
∴ RS = 22 units
The numerical length of RS is 22 units
Answer:
RS=4
Step-by-step explanation:
If an angle is bisected to form two new 50 degree angles what was the original angle
Answer:
100 probably
Step-by-step explanation:
Becuase it was bisected and bisect me as to divide in to two.. So when u get 50 deg.. The total is 100
In a group of students, 65 play foot ball, 45 play
hockey, 42 play cricket, 20 play foot ball and
hockey, 25 play foot ball and cricket, 15 play
hockey and cricket and 8 play all the three
games. Find the total number of students in the
group (Assume that each student in the group
plays at least one game.)
Answer:
220 student all together im not sure
Step-by-step explanation:
round off 2841 to the nearest 100
Answer:
the answer is 2800
Step-by-step explanation:
hope this helps.
Solve for x; 6x + c = k
Answer:
x= (k - c) / 6
Step-by-step explanation:
6x + c = k
6x = k - c
x = (k - c) / 6
Answer: [tex]x=\frac{k}{6} - \frac{c}{6}[/tex]
Step-by-step explanation:
6x + c = k To solve for x first subtract c from both sides
-c -c
6x =k - c Now divide both side by 6.
x= k/6 - c/6
Sanjai had $175 in his bank account before he got paid this week
His current balance is $287. How much did he get paid?
Answer:
$112
Step-by-step explanation:
To find the amount he got paid, subtract the current amount from the initial amount
so
287 - 175
= 112
Hey there!☺
[tex]Answer:\boxed{\$112}[/tex]
[tex]Explanation:[/tex]
Sanjai had $175 in his bank account before he got paid this week. And now his total is $287. Represent x as how many he got after he paid. So that means you do $175 + x = $287.
[tex]175+x=287[/tex]
We have to find x and see how much money he got paid to get 287 in his balance.
[tex]287-175=112[/tex]
x is equal to 112. Let's see if $112 makes x true.
[tex]175+112=287[/tex]
That makes x true which means he got paid $112.
Hope this helps!☺
1. Cuando se compra pintura ,por la general , se venden galones(un galón equivale a 3.7354L)y se reparten en botes de 1/4L o otra fracción de litro. a) Si compro dos galones y debes repartirlos en botes de 1/4L¿comó sabes cuántos botes pueden llenar?
Answer:
Se requiere 30 botes de 0.25 litros para dos galones de pintura.
Step-by-step explanation:
Sabemos que un galón equivale a 3.7354 litros, para estimar en cuantos botes de 0.25 litros se puede distribuir dos galones, empleamos la siguiente expresión:
[tex]n = \frac{V_{total}}{V_{bote}}[/tex]
Donde:
[tex]V_{bote}[/tex] - Volumen del bote, expresado en litros.
[tex]V_{total}[/tex] - Volumen total, expresado en litros.
[tex]n[/tex] - Cantidad de botes a llenar, adimensional.
Si sabemos que [tex]V_{bote} = 0.25\,L[/tex] y [tex]V_{total} = 2\,gal[/tex], entonces:
[tex]n = \frac{(2\,gal)\cdot \left(3.7354\,\frac{L}{gal} \right)}{0.25\,L}[/tex]
[tex]n = 29.883[/tex]
Puesto que la cantidad de botes es representada por un número entero,la cantidad requerida se redondea por exceso al entero más cercano. En consecuencia, se requiere 30 botes de 0.25 litros para dos galones de pintura.
Two angles form a linear pair. The measure of one angle is 24º more than the measure of the other angle. Find the measure of each angle.
Answer:
The measures of the two angles are 78° and 102°
Step-by-step explanation:
When two lines intersects at a point, then pairs of linear angles are formed
The linear pair of angles are adjacent angles the sum of their measures is 180°∵ The two angles form a linear pair
∴ The sum of the two angles = 180°
∵ The measure of one of them = 24° more than the measure
of the other angle
→ Assume that the smaller one is x, then the greater one is
x + 24, add them up and equate their sum by 180°
∵ x + x + 24 = 180
→ Add the like term in the left side
∴ 2x + 24 = 180
→ Subtract 24 from both sides
∴ 2x + 24 - 24 = 180 - 24
∴ 2x = 156
→ Divide both sides by 2
∴ 2x/2 = 156/2
∴ x = 78°
∴ The smaller angle = 78°
∵ The larger angle is x + 24
∴ The larger angle = 78 + 24 = 102°
The measures of the two angles are 78° and 102°
Austin mowed 7 lawns in 4 hours at the rate how long will it take him to mow 21 lawns
7 lawns / 4 hours = 1.75 hours per lawn.
1.75 hours per lawn x 21 lawns = 36.75 hours total ( 36 hours and 45 minutes)
the price of a videotape is $13.20 after a 40% discount. Whats the original price?
Answer:
$22
Step-by-step explanation:
So if a videotape was on a 40% discount, then the person who is buying it pays 60% of the original price (100 - 40 = 60)
call "x" the original price, then set up a proportion to explain the relationship
13.2/x = 60/100
simplify
13.2/x = 3/5
solve using cross products
13.2/x = 3/5
13.2 * 5 = 3 * x
66 = 3x
22=x
Which is a way to show ΔDEF is congruent to ΔD’E’F’? A. A rotation 90° and a translation 1 unit up and 1 unit left B. A reflection across the line y = 1 and a translation 2 units up C. A rotation 180° about the origin and a translation 1 unit up D. A reflection across the y-axis and a translation 1 unit up and 1 unit left
Answer:
A reflection across the y-axis and a translation 1 unit up and 1 unit left
Step-by-step explanation:
I got this question right on my assessment.
In a list of five consecutive odd integers, the sum of the first and double the last is 139. What is the largest sum?
Answer: 49
Step-by-step explanation:
From your question, I think you mean the largest number. The answer is given below.
Let the five consecutive odd numbers be:
a, a+2, a+4, a+6 and a+8.
Thee sum of the first and double the last is 139. This can be written as:
a + 2(a+8) = 139
a + 2a + 16 = 139
3a + 16 = 139
3a = 139 - 16
3a = 123
a = 123/3
a = 41
The first number = 41
The largest number = a+8 = 41 + 8 = 49.
Consider the statement 4 + 5 = 2 + 7. This is a grammatically correct sentence.
Is the sentence true or false?
Answer:
Yes it would be.
Greetings from Brasil...
We have a true sentence because:
4 + 5 = 2 + 7
9 = 9and really nine is equal to nine
What is the coefficient of the following term?
-X
PLEASE HELP!!!!
consider the equation below. which are NOT power functions? select all that apply
A. f(x)=2^4√ x
B. f(x)=pi/x
C. f(x)=2*3^x
D. f(x)=√2/^3 √ x
E. f(x)=2(x-3)^1/2
F. f(x)=x^2+2x-6
Answer and Step-by-step explanation: Power Functions are of the form:
[tex]f(x)=ax^{b}[/tex]
where a is scaling factor, which means, it moves the values of [tex]x^{b}[/tex] up or down;
and b is exponent or power, which determines the rate of growth or decay of the function.
The difference between exponential and power functions, is that in power functions, a variable base is elevated to a fixed exponent.
For that reason, Equations:
A. [tex]f(x)=2^{4\sqrt{x} }[/tex]
B. [tex]f(x)=\frac{\pi}{x}[/tex]
C. [tex]f(x)=2.3^{x}[/tex]
D. [tex]f(x)=2^{3\sqrt{x} }[/tex]
are NOT power functions.
Write 820.156 in words
Answer:
Eight hundred and twenty point one hundred fiftey sixth thousandths.
Step-by-step explanation:
How would you say it? Thatś how you would write it!
Hope this helps! :D
- Anna
Perform the operation. -10x^2+9x--6x+4
x - 6< 3
please help
Answer:
x<9
Step-by-step explanation:
Answer:
x < 9
Step-by-step explanation:
Step 1: Write inequality
x - 6 < 3
Step 2: Add 6 to both sides
x < 9
Here, we can see any x value that is smaller than 9 will work. So x can be 5, 2, 0, or even -1597239065723.
If you multiply a number by 10^-3
Does it become
A 1000 times smaller
B 1000 times bigger
C 30 times bigger
D 30 times smaller
Answer:
A 1000 times smaller
Step-by-step explanation:
whatever power it is to 10 is how many zero's so since it's -3 it goes back 3 zero's
Compare the fractions 3/5
and 2/3
which is larger?
Show your work
Answer:
2/3 is larger
Step-by-step explanation:
3/5 x 3/3 = 9/15
2/3 x 5/5 = 10/15
Which regular polygons could be used to make regular and semi-regular tessellations? Check all that apply.
- equilateral triangle
- square
- regular pentagon
- regular hexagon
- regular octagon
- regular nonagon
- regular dodecagon
Answer:
A. equilateral triangle
B. square
D. regular hexagon
E. regular octagon
G. regular dodecagon
Step-by-step explanation:
The regular polygons could be used to make regular and semi-regular tessellations are equilateral triangle, square and regular hexagon. Therefore, the correct answers are A, B and D.
A regular tessellation is tessellation made up by using only one type of regular polygon. These are made up of completely congruent regular polygons all that connecting vertex to vertex.
Regular polygons have congruent straight sides. When we slide or rotate a regular polygon, the side of the original figure and the side of its translation will match.
Equilateral triangles, squares and regular hexagons are the only regular polygons that tessellate. Therefore, there are only three regular tessellations.
Therefore, the correct answers are A, B and D.
Learn more about the tessellations here:
https://brainly.com/question/12926513.
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An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90π inches per minute, what is the diameter, in inches, of the circular path?
Answer:
D
Step-by-step explanation:
on edge
Write as many equations as possible that could
represent the relationship between the ages of the two
children in each family described. Be prepared to
explain what each part of your equation represents.
In Family B, the middle child is 5 years older than the
youngest child.
Answer:
Family A is C=t-7 T=c+7 Family B M=y+5 Y=M+5
Step-by-step explanation:
Answer:Your answer is...
Step-by-step explanation: A||C=t-7 T=c+7 B|| M=y+5 Y=M+5
The five-number summary of the distribution of scores on the final exam in Psych 001 last
semester was min =18 Q = 39 Med = 62 Q = 76 Max = 100. A total of 416 students
took the exam. About how many students had scores above
39? (A) 104
(B) 208
(C) 312
(D) 400
First quartile of the distribution is, Q = 39.
i.e 75% of students have scored more than 39.
So, total number of students scored more than 39 are :
[tex]n=\dfrac{416\times 75}{100}\\\\n=312[/tex]
Therefore, number of students scored higher than 39 are 312.
Hence, this is the required solution.
Derek invests £154 500 for 2 years at 4% per year compound interest.
Work out the value of the investment at the end of 2 years.
Answer:
p=£154,500
T=2years
R=4%
Compound Amount (CA) =?
Now,
CA=p(100+R/100)^T
=154500*(100+4/100)^2
=154500*(104/100)^2
=154500*(1.04)^2
=154500*1.0861
=167107.2
Therefore The value of the investment will be £167107.2 after 2year
The value of the investment at the end of 2 years is £167107.2.
Given that, principal =£154500, time period= 2 years and rate of interest =4%.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]Amount=P(1+\frac{R}{100} )^{nt}[/tex]
Here, Amount = 154500(1+4/100)²
= 154500(1+0.04)²
= 154500(1.04)²
= 154500×1.0816
= £167107.2
Hence, the value of the investment at the end of 2 years is £167107.2.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
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Graph the line with the equation y = 1/3 x + 1
Graph the line using the slope and y-intercept, or two points.
Slope: 1/3
y-intercept: (0,1)
x y
-3 0
0 1
solve the following 2-step equations for x
Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that both cards are face cards (Jack, Queen, King)? Are these events independent? (1 point)
Answer:
chances of that would be a 5%
Classify the following triangle by its angles.
Right Triangle
Obtuse Triangle
Equiangular Triangle
Acute Triangle
Answer:
hey mate here is ur answer.
Step-by-step explanation:
Right angle : Whose one side is exactly 90°
Obtuse angle : Whose one side is more than 90° but less than 180°.
Equiangular triangle : Whose three sides is perfect or equal angles.
Acute Triangle: Whose all sides are below 90° angles. but since the sum of any triangle should be 180° (refer to google)
hope it helps you,
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A circular wading pool has a radius of 12 feet.
What is the longest distance across the wading pool?
36 ft
24 ft
48 ft
12 ft