Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23
Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10
A car used 16 gallons of gasoline and traveled a total distance of 460 miles. The car's fuel efficiency is 30 miles per gallon on the highway and 25 miles per gallon in the city. How many gallons of gasoline were used on the highway.
Answer:
12 gallons
Step-by-step explanation:
Total gallons = 16 gallons
Total distance = 460 miles
Fuel efficiency in the highway = 30 miles per gallon
Fuel efficiency in the city = 25 miles per gallon
Let
h = gallons of gasoline were used on the highway.
460 = 30h + 25(16 - h)
460 = 30h + 400 - 25h
460 - 400 = 30h - 25h
60 = 5h
h = 60/5
h = 12 gallons
12 gallons of gasoline were used on the highway.
If 4c + 10= 20 -16c, what is 8c?
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
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2. What is the slope in this equation? y =2x +1
y
2
х
1
Answer:
the slope equals 2. otherwise known as the coefficient of x.
(PLEASE HELP)
Find the area of the triangle.
Answer:
3.15km²
Step-by-step explanation:
A = bh/2
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Need help and pls explain the best you can with the answer
Answer:
D = +/- 12.041 units
Step-by-step explanation:
D =
[tex] \sqrt{} (x2 - x1) {}^{2} + (y2 - y1) {}^{2} [/tex]
[tex] \sqrt{} ( - 5 - 4) {}^{2} + (3 - ( - 5)) {}^{2} [/tex]
[tex] \sqrt{81 + 64} [/tex]
[tex] \sqrt{145} [/tex]
D = +/- 12.041 units
pls help with this immediately!!!! i’ll be giving brainiest to those who provide the correct answer. if u leave a link, have fun getting reported.
Answer:
I belive it is Parellelogram
Solve for x if: y = -6 and -10x + 7y = 18
A) 8
B)-18
C)-6
D)9
Answer:
Step-by-step explanation:
-10x+7(-6)=18
-10x-42=18
+42 +42
___________
-10x/-10=60/-10
x= -6
What is the measure of ZMJK in the figure below?
M
2
7
320
7
K
O A. 58
B. 64
O C. 32
O D. 60
O
E. 15°
F. Cannot be determined
.
Answer:
Angle MJK = 64°
Step-by-step explanation:
In ∆MJL & ∆LJK,
JL= JL ...(common side)
Angle JML = Angle JKL ....( each 90°)
MJ = JK ....( Both measures 7)
Hence, by SAS criteria, ∆ MJL = ∆ LJk
.°. by C.P.C.T , ∠MJL = ∠LJK = 32°
Also,
∠MJK = ∠MJL+∠LJK
∠MJK = 32°+32°
∠MJK = 64°Which statement shows the associative property of addition?
7⋅(4⋅x)=(7⋅4)⋅x
13 + 5a = 5a + 13
(d + 4) + 17 = 17 + (d + 4)
(18 + 6) + y = 18 + (6 + y)
Answer:
D
Step-by-step explanation:
According to the associative property of addition, you can put the parentheses anywhere you like. This is the only one that works.
Which equation describes a line that passes through the point (-6, 2) and is parallel to
the line represented by 2y - 4x = 10?
Anyone know??
Answer:
y = 2x +14
Step-by-step explanation:
2y - 4x = 10
=> 2y = 4x + 10
=> y = 2x + 5
↑ the slope of this equation
parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.
plug in point (-6, 2) & the slope "2" into the equation: y = ax + b to find "b."
=> 2 = -6(2) + b
=> b = 14
plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b
=> y = 2x +14
In the diagram, the ratio of AB to AE is 1/2. What is the ratio of the length of DB to the length of CE?
Answer:3/2
Step-by-step explanation:
Consider right triangle AJKL below.
K
L
60
5.2
3
J
Which expressions represent the length of side KL?
HELP ME ASAPPPPPPPPPPPPPPP
Answer:
a because i said so trust me
Step-by-step explanation:
Answer:
The number of students that the club needs is at least 8
Step-by-step explanation:
The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
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Franklin treated his sister to lunch while visiting her in Ashland. Their lunch cost $75, and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the $75, how much in total did he pay?
Answer:
$96
Step-by-step explanation:
If you doing ixl M.10 Multi-step problems with percents
i did this question and it's 96.hope this helps
Total cost of pay for the lunch will be $96.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The cost of lunch = $75
Sales tax = 8%
Tip = 20%
Now,
The cost on sales tax = 8% of $75
= 8/100 x 75
= $6
Thus, The cost on sales tax = $6
And, The cost for tip = 20% of $75
= 20/100 x 75
= $15
Thus, The cost for tip = $15
So, Total cost to pay for lunch = $75 + $6 + $15
= $96
Thus, Total cost of pay for the lunch will be $96.
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Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
Find the area of the shape shown below.
Answer:
To find the area break up the shapes:
The rectangle is A = bh which is 7*3 which is 21.
Triangle: A = 1/2(bh)
A=1/2(3*7)
A=1/2(21)
A=10.5
Now add up the areas:
21+10.5
=
31.5
The answer is 31.5 units.
What's the value of
[tex] \sqrt{21 \times 21 \times 2 \times 2} [/tex]
Answer:
42
Step-by-step explanation:
as there two equal numbers of both 21 and 2 then the outcome will be just 21×2=42
Answer:
Hey!
Your answer after multiplying would be[tex]\sqrt{1764}[/tex] which equals 42.So, the answer is:-42!Hope this helps you!
:)
What is a digit in the hundredths pace has 1/10 the value of the same digit of the same digit in the tenths pace?
Answer:
4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.
what is the difference between an irrational number and a rational number
Answer:
Rational numbers are the numbers which are integers and fractions
Irrational numbers are the numbers whose expression as a fraction is not possible.
Step-by-step explanation:
Answer:
Rational is with fractions
Irrational is with expressions
Step-by-step explanation:
Dave learned a total of 10 appetizer recipes over the course of 5 weeks of culinary school.
After how many weeks of culinary school will Dave knov a total of 12 appetizer recipes?
Assume the relationship is directly proportional.
Answer:
4.8
Step-by-step explanation:
Answer:
6 weeks
Step-by-step explanation:
(12/10)5 = 6 weeks
Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)
Answer:
Associative property of addition. Grouping different addends does not change the sum.
Step-by-step explanation:
5 + 2 + 3 = 5 + (2 + 3)
10 = 5 + (5)
10 = 10
PLS HELPP!! thank you
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)
A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr
The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
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HELP I NEED HELP ASAP
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Answer:
B. 25%
Step-by-step explanation:
Total 16 students
4 scored above 90
so 4/16= 0.25
Answer: 25%
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14476 as a percentage
Answer: 1447600%
Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign
Which of these is a simplified form of the equation 13z + 2 = 8 + 2z + 1z? (4 points)
a
10z = 6
b
10z = 10
c
4z = 6
d
4z = 10
Answer:
a part
Step-by-step explanation:
Answer is attached....
Hope it helps:)