Answer:
a) 510000000 c) 24.4 d) 502.3
Step-by-step explanation:
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?
Answer:
Step-by-step explanation:
Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]
From the graph attached,
A point (1, 60) lies on the line shown in graph.
At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]
[tex]=\frac{60-0}{1-0}[/tex]
= 60 miles per hour
But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.
So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.
(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])
For a United Way fund-raising dinner, a total of 245 tickets were sold. Adult tickets sold for $6.50, and child tickets sold for $3.00. If $1410.50 worth of tickets were sold, how many adult and child tickets were sold?
Answer:
Adults =193
children=52
Step-by-step explanation:
Step one:
let the number of tickets adults be x
and the number of tickets children be y
x+y=245--------1
6.5x+3y=1410.5---2
Step two:
solve the system of equation using substitution
x+y=245
x=245-y
put x=245-y in equation 2 we have
6.5(245-y)+3y=1410.5
1592.5-6.5y+3y=1410.5
-6y+3y=1410.5-1592.5
-3.5y=-182
y=182/3.5
y=52
put y=52 in x=245-y
x=245-52
x=193
Mike purchases a $22,000 car and plans to pay back the loan by making monthly payments over the course of 5 years. The interest rate is 3%. Compute Mike’s monthly payments using the amortization formula.
$383.09
$395.32
$427.91
$442.63
Which ordered pair is a solution of the equation? Y = 7x - 3
Answer:
y-intercept: ( 0 , − 3 )
x-intercept: ( 3 7 , 0 )
Step-by-step explanation:
Raise to the power:
[tex](-2abx)^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]
[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the difference between 7/10 and 1/5.
Answer:
the answer is [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
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What is the coefficient of the fourth term in this expression?
m3+2kn2+mn2+6k2n
When Isaac was born he weighed 8 pounds. How many ounces are equivalent to 8 pounds?
Answer:
128 ounces
Step-by-step explanation:
Answer:
128 ounces
Isaac weighed 8 lbs, or 128 ounces
Just multiply the mass value by 16, and you'll get 128.....
Hope this helps you
19. Jake thinks of a secret number. He says that his secret number is more than 6 units away from 2. Write a
compound inequality that gives the possible values of Jake's number. Graph the inequality.
I have a radius of 35ft, what is the diameter ?
I have a radius of 15 mm, what is the diameter ?
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
if the nth term of a sequence is 5n+1 what is the 12th term?
Answer:
61
Step-by-step explanation:
nth=5n+1
.: 12th=5(12)+1 =60+1
=61
What does the “M” and “B” stands for in the equation y=mx+b?
Answer:
m:number that is multiplied on x b:the y-intercept
Step-by-step explanation:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
In the equation y = mx + b, m represents slope and b represents y intercept.
In the equation y = mx + b, the variables "m" and "b" represent coefficients or constants. Specifically:
"m" represents the slope of the line. It determines the steepness or inclination of the line.
The slope indicates how much y (the dependent variable) changes for each unit change in x (the independent variable).
"b" represents the y-intercept of the line. It is the value of y when x is equal to zero.
The y-intercept is the point where the line intersects the y-axis.
m and b define the equation of a straight line in slope-intercept form, where "m" is the slope and "b" is the y-intercept.
To learn more on slope intercept form click:
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If f(x) = 2x + 1, what is f(x) when x = 3?
a)1
b)7
c)13
d)19
Answer:
7
Step-by-step explanation:
part B is the correct answer
Answer:
B) 7
Step-by-step explanation:
f(x)=2(3)+1
2(3)=6
6+1=7
If l is parallel to m, solve for x and y.
Answer:
Step-by-step explanation:
3x + 49 = 7x - 23
4x = 72
x = 18
11y - 1 = 3(18)
11y = 55
y = 5
The value of x is 18 and y is 5.
What are the properties of parallel lines?Following are the properties of parallel lines,
The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.Given:
<1 = 7y -23
<2 = 11y -1
<3 = 3x
Using corresponding angle
7x - 23 = 3x + 49
4x = 72
x = 18
again, Using corresponding angle
3x = 11y - 1
3(18) = 11y - 1
11y = 55
y= 5
Hence, the value of x is 18 and y is 5.
Learn more about parallel lines here:
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Graph this system of equations on the coordinate plane
y= -3x+3
y= 1/2x -4
Answer:
see the figure
Step-by-step explanation:
see the figure
Answer:
(2,-3)
Step-by-step explanation:
Desmos graphing calculator
What is the equation linear function in point-slope form M=-1/5 and f(0)=7
Answer:
y-7= -1/5x
Step-by-step explanation:
general formula (y-y1)= m(x-x1)
m is the slope and in this case m=-1/5
(x1, y1) is a point on thhe line in this case is (0, 7) because f(x)=y
substitute your given in the equation
(y-7) = -1/5(x-0)
y-7= -1/5x
multiply 532 and 734 using natural logarithms
y = 3x = 2
=
- x + 6
i don’t know how to do this
Answer:
A2: 55
A1: 99-55+x:180
X:26
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)
Answer:
a
Step-by-step explanation:
just did it and got right
The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
Let,
= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]
Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
Learn more about trigonometry equations here:
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2nd try again please help
Answer:
0.8
Step-by-step explanation:
25.4-23.8=1.6
25.4+1.6=27
For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!
Answer:
0.8
Step-by-step explanation:
Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8
Which of these describes the system of linear equations below?
3x-2y=7
6x-4y=14
a) the system has no solutions.
b) the system has infinitely many solutions.
c) the ration of the-coordinate to the y-coordinate of the only solution is 2 : 1.
d) the difference between the x-coordinate and y-coordinate of the only solution is one.
Given:
The system of equations is
[tex]3x-2y=7[/tex]
[tex]6x-4y=14[/tex]
To find:
The correct statement for the given system of equations.
Solution:
On comparing the given equations and general form of linear equation, i.e., [tex]ax+by+c=0[/tex], we get
[tex]a_1=3,b_1=-2,c_1=-7[/tex]
[tex]a_2=6,b_2=-4,c_2=-14[/tex]
Here,
[tex]\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}[/tex]
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], therefore, the two equations are equivalent and the system has infinitely many solutions.
Hence, the correct option is b.
Which number is equivalent to the fraction ?
Answer:
15/7 = 2.14 or 2 1/7
Hope This Helps!
Answer:
2 1/7
Step-by-step explanation:
15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper
PLZZZZ HELPPPP THIS IS TIMED!!!
Are the two figures below similar?
A No, the sides are not proportional.
B Yes, the sides are proportional.
C Yes, the sides are congruent.
D No, the sides are not congruent.
Answer:
C. C Yes, the sides are congruent.
What fraction of a metre is 20cm?
Answer:
1/5
Step-by-step explanation:
A metre is 100cm, thus
20cm/100cm= 1/5
Tony's recipe for soup calls for 11/4 teaspoons of salt. He wants to use 1/2 that
amount. How much salt will he use?
Answer:
11/8
Step-by-step explanation:
Simplify 11/4 = 2 3/4
half of 2 = 1
half of 3/4 = 3/8
1 3/8 changed to an inproper fraction = 11/8
number of boys and girls are in the class are in the ratio of 7 : 5 the number of boys is 8 more than the number of girls what is a total class strength?
Answer:
Step-by-step explanation:
Given ratio of boys and girls in the class =7:5
No of boys is 8more than the girls
So
Let no of boys in the class =7x
No of girls in the class=5x
7x=5x+8
2x=8
X=8/2
X=4.
Total strength =no of boys + no of girls
=7x+5x
=7×4+5×4
= 28+20
=48.
Total strength in the class is 48.
Answer:
Total class strength = 48
Step-by-step explanation:
Boys : Girls = 7 : 5
Number of boys = 7x
Number of girls = 5x
7x - 5x = 8
2x = 8
x = 8/2
x = 4
Total strength = 7x + 5x = 12x = 12*4 = 48
Denise wants to cover a 21.75 square foot wall with weathered wood. If each box of weathered wood contains 1.5 square feet of wood, how many boxes of weathered wood does she need?
Answer: 15 boxes
Step-by-step explanation:
From the question, we are informed that Denise wants to cover a 21.75 square foot wall with weathered wood and that each box of weathered wood contains 1.5 square feet of wood.
The number of boxes of weathered wood that she need will be calculated by dividing 21.75 square feet by 1.5 square feet. This will be:
= 21.75/1.5
= 14.5
= 15 boxes approximately
Need help on this Math problem
Answer:
I hope I helped :)
Step-by-step explanation:
a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.
b. The slope represents Sam's monthly fee.
c. Sam's monthly fee is 0.4 or 2/5
d. Every 50 minutes is $20.