Answer:
21 inches
Step-by-step explanation:
The model has a scale of 3:2
Simplify 3:2
1.5:1
14 * 1.5 = 21
The length of the model car is 21 inches
1.
A line has equation y = 3x + 4
(a) Write down the gradient of the line
25 POINTS
PLEASE HELP ME ANSWER BOTH QUESTIONS :)))
Answer:
the gradient is 3
y- intercept is 4
Step-by-step explanation:
when you're asked the gradient, you can find it as a coefficient of"x" in equation where the coefficient of "y" is one.
y=mx+b
m=> gradient
b=> y- intercept
We want to find the gradient and y-intercept of a given line.
The solutions are:
a) gradient = 3
b) y-intercept = 4
A general line written in slope-intercept form is:
y = a*x + b
Where a is the slope and b is the y-intercept.
The slope defines how the change in the variable y relates to the changes in the variable x, so the slope is also called the rate of change or gradient.
Thus, if we want to find the gradient, we must read the coefficient that multiplies the variable x, and the constant will be the y-intercept.
In the given line:
y = 3*x + 4
Comparing this with the general line, we can see that the gradient is 3 (the slope), and the y-intercept is 4.
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Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work
Answer:
0.2 is the correct answer.
Answer:
-8.3 + 9.2 - 4.4 + 3.7
= -8.3 + 9.2 + (-4.4) + 3.7 {Additive inverse}
= -8.3 + (-4.4) + 9.2 + 3.7 {Commutative Property}
= [ -8.3 + (-4.4] + [ 9.2 + 3.7] {Associative property}
= - 12.7 + 12.9
= 0.2
answer is 0.2
Alan takes 3 minutes to draw a picture. Beatrice takes 4 minutes to draw a picture. If Alan and Beatrice start drawing pictures at the same time, how long will they draw before they can complete a picture at the same time?
Answer:
1.71 minStep-by-step explanation:
Alan draws a picture in 3 minute
In one minute he draws:
1/3 of the pictureSimilarly, Beatrice draws
1/4 of the picture in 1 minuteTogether the draw in one minute:
1/3+1/4 = 7/12 of the pictureTo complete the picture they need:
1:7/12 = 12/7 min or 1 5/7 min or 1.71 minFind the equation of the line through point (−1,4) and parallel to 5x+y=4
Answer:
3y-5x=none
Step-by-step explanation:
in the diagram angles a and h are_____
Answer:
alternate exterior angles
Step-by-step explanation:
a and h are on opposite sides of the transversal and they are outside the parallel lines.
Which statement best describes the equation x5 + x3 – 14 = 0?
The equation is quadratic in form because it is a fifth-degree polynomial.
The equation is quadratic in form because the difference of the exponent of the lead term and the exponent of the middle term is 2.
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
The equation is not quadratic in form because the exponent of the lead term is not the square of the exponent of the middle term.
Answer:
2.The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
Step-by-step explanation:
A quadratic equation is any equation that can be rearranged in standard form as :
ax² + bx + c = 0
Where a, b and c are coefficients and a ≠ 0.
Since for a quadratic equation, the power of x is a non negative integer, it is considered as a polynomial. A quadratic equation is a second-degree polynomial (i.e the gratest power of x is two).
The equation is not a quadratic equation because it cannot be rewritten as a second-degree polynomial.
We want to see which statement describes the equation x^5 + x^3 - 14 = 0.
The correct option is:
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
First, our equation:
x^5 + x^3 - 14 = 0.
Is a polynomial of degree 5 (the degree is equal to the maximum exponent).
Thus, this is not a quadratic equation.
Where a quadratic equation is a polynomial of degree 2.
Notice that we also can't replace x by another variable, such that it becomes a quadratic equation, then the correct statement is:
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
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the measure of angle b is one-half the measure of its complement. What is the measure of b
Answer:
b = 30 degrees.
Step-by-step explanation:
Two angles are said to be complement of each other if their sum is 90 degrees
________________________
given
one angle is b
let other angle be x
given that angle b is one-half the measure of its complement
thus, mathematically we can the above statement as
b = 1/2(x)
now sum of both the angle will be 90 degrees as they are complementary
b + x = 90
using b = 1/2(x)
=> 1/2(x) + x = 90
=> x/2 + x = 90
=> (x +2x)/2 = 90
=> 3x = 180
=> x = 180/3 = 60
thus,
b = 1/2(x) = 1/2(60) = 30
thus, measure of angle b is 30 degrees.
You start at (2, 5). You move down 4 units and up 8 units. Where do you end?
Answer:
(2,7)
Step-by-step explanation:
Answer: (2,9)
Step-by-step explanation:
please help i’m so lost
Atul has 2 3 lb of candy. Jose has 3 5 lb and Maria has 1 2 lb less than Jose.
How many more pounds of candy does Atul have than Maria?
Answer:
17/30
Step-by-step explanation:
Atul-2/3
Jose- 3/5
Maria- 3/5-1/2=1/10
Now, you need to find how much MORE Atul has than Maria
2/3-1/10=17/30
Answer:
17/30
Step-by-step explanation:
A department store gives A $10 gift card to Every 20th customer and a $15 gift card to every 45th customer
15 gift card to every 45th customer
Regular exercise can help a person lower their resting heart rate. Suppose an individual’s resting heart rate, in beats per minute, is modeled by the function f(x) = –0.1x 3 + 0.6x 2 + 85 after x weeks of regular exercise.
How many weeks of exercise are necessary to lower the individual’s resting heart rate below 70 beats per minute?
7 weeks
8 weeks
9 weeks
10 weeks
Answer:
9 weeks
Step-by-step explanation:
edge 2020
On solving the inequality, 9 weeks of exercise are necessary to lower the individual’s resting heart rate below 70 beats per minute.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
[tex]-0.1x^{3} + 0.6x^{2} +85 < 70\\[/tex]
where, x is the number of weeks of exercise is necessary to lower the individual's resting heart rate below 70 beats per minute.
This cubic inequality can be solved by hit and trial method.
when x = 7.
[tex]-0.1x^{3} + 0.6x^{2} +85 < 70\\[/tex]
[tex]=-0.1*7^{3} + 0.6*7^{2} +85[/tex] = 80.1
80.1 > 70
Thus, x = 7 is not suitable.
when x = 8.
[tex]-0.1x^{3} + 0.6x^{2} +85 < 70\\[/tex]
[tex]=-0.1*8^{3} + 0.6*8^{2} +85[/tex] = 72.2
72.2 > 70
Thus, x = 8 is not suitable.
when x = 9.
[tex]-0.1x^{3} + 0.6x^{2} +85 < 70\\[/tex]
[tex]=-0.1*9^{3} + 0.6*9^{2} +85[/tex] = 60.7
60.7 < 70
Thus, x = 9 is suitable.
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what do you call the fixed line of a parabola?
Answer: directrix.
hoped this helped lmk if it did
i need help asap questions 12-17 please.
Answer:
12. -5 and 4
13. -2 and -1
14. -5 and 6
15. -4 and -3
16. -2 and 8
17. -3 and 8
Step-by-step explanation:
3.2 Applications Worksheet
Solve each system by elimination.
1) 3x + 5y = 322
3x - 10y =8
2) -6x + 10y=-8
7x - 20y= 1
decrease 1440 by 80%
Answer:
288 will be ur ans
Step-by-step explanation:
1440 x 80/100
=1152
1440-1152
=288
Answer: vbtbbr
Step-by-step explanation:
9:45 on Tuesday Questions
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
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Answer:
The Alternate Interior Angles Theorem
Step-by-step explanation:
Given
∠3 ≅ ∠5Angle 3 and angle 5 are alternate interior angles, and they are congruent.
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.x + y = 7, for x
....
Answer:
x = -y + 7
or
x = 7 - y
Step-by-step explanation:
x + y = 7
Step 1: Subtract y from both sides to get x alone.
x + y = 7
-y -y
x = 7 - y
Since x is alone and y is a variable & not a number, there's nothing else to do to the equation.
Hey there!☺
[tex]Answer:\boxed{x=-y+7}[/tex]
[tex]Explanation:[/tex]
[tex]x+y=7[/tex]
The first/last step we have is to add -y to both sides.
[tex]x+y+-y=7+-y\\x=-y+7[/tex]
[tex]x=-y+7[/tex] is your answer.
Hope this helps!☺
The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool at a rate of 150 gallons per minute. Use Scratchpad to show your work for the questions below. a. It took 30 minutes to empty the tank of the truck. How many gallons of water were in the tank? gallons Question 2 b. The pool holds 10,500 gallons of water. Ignoring the time it takes to refill the tank of the truck, how many minutes will it take to fill the pool with water? minutes
Answer:
Question 1, it was 4500 gallons of water in the tank
Question 2, it will take 70 minutes to fill the pool with water
Step-by-step explanation:
Question 1 explanation, just multiply 150 times the minutes
A tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minutes to empty the tank of the truck. 4500 gallons of water is in the tank. If pool holds 10,500 gallons of water then it takes 2100 minutes of time to fill.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
A tanker truck can fill the pool at a rate of 150 gallons per minute.
It took 30 minutes to empty the tank of the truck.
Now we need to find number of gallons of water in the tank.
So to find it we have to multiply 150 with 30
4500 gallons of water were in the tank.
and the pool holds 10,500 gallons of water
Let us formulate a equation
Apply cross multiplication
150/30=10500/x
150x=315000
=2100 minutes
So 2100 minutes will it take to fill the pool with water.
Hence if a tanker truck can fill the pool at a rate of 150 gallons per minute. It took 30 minutes to empty the tank of the truck. 4500 gallons of water is in the tank. If pool holds 10,500 gallons of water then it takes 2100 minutes of time to fill.
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Nathaniel's car used 10 gallons to travel 360 miles. How far can he travel on 16 gallons?
Answer:
576 miles per 16 gallons
Step-by-step explanation:
Step 1:
360 ÷ 10
Step 2:
36 miles per gallon
Step 3:
36 × 16
Answer:
576 miles per 16 gallons
Hope This Helps :)
Answer:
Nathaniel can travel 576 miles on 16 gallons.
Explanation:
Knowing that 10 gallons would be enough for 360 miles, we can divide 360 by 10 to get the amount of miles that can be driven for only ONE gallon.
360 divided by 10 is 36, so 36 is the amount of miles driven for one gallon. Now we can multiply 36 by 16 to get the amount for 16 gallons. 36 multiplied by 16 is 576. Nathaniel can travel 576 miles on 16 gallons.
//PLEASE HELP\\
WILL GIVE BRAINLIEST
The town of Easy is mapped on a coordinate grid with the origin being at the statue before City Hall. KFC is located at the point (3, 7) and McDonalds is located at (-3, 7).
How far is it from KFC to McDonald?
A.5
B.6
C.89
D.36
Answer: It should be B.
Step-by-step explanation:
Help me 20 points ........................
Answer:
Step-by-step explanation:
First, you need to find the slope of the line. To do this you need to choose two points on the graph. The points you are given are (-2, 1) and (4, 6). Then use these to find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{6-1}{4-(-2)}[/tex]
[tex]m=\frac{5}{6}[/tex]
You can then plug this and one of your chosen points into the slope-intercept formula
[tex]y-y=m(x-x)[/tex]
[tex]y-1=\frac{5}{6} (x-(-2))[/tex]
[tex]y-1=\frac{5}{6} x+\frac{5}{3}[/tex]
[tex]y=\frac{5}{6}x+\frac{8}{3}[/tex]
Which statement must be true to prove
A swimming pool in Julie's neighborhood has lap lanes that are 55.5 yards long. Julie wants to swim 10 laps. What is the total distance that Julie will swim?
Answer:
1110 yards (if a lap is considered there and back)
Step-by-step explanation:
555(if it is just from a to b, and not back.)
Answer the quesion below:
Answer:
A=8.25
Step-by-step explanation:
the equation for area is
A=base×height
or
A= (3ft)(2.75)
Answer:
A= 8.25
Step-by-step explanation:
What is 10+0.6 (pls show steps on how you got an awnser :) )
Answer:
10.6
Step-by-step explanation:
ok so, since 10 doesn't have any decimals you can just add the 0.6 to 10 so it makes 10.6.
what does a z-score tell you
Answer:
The value of the z-score tells you how many standard deviations you are away from the mean. ... A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average.
Step-by-step explanation:
The sum
4
7+
−1
3 is
Answer:
34
Step-by-step explanation:
47 + (-13)
47 - 13
34
Best of Luck!
A newsboy has $2.65, consisting of nickels, dimes and quarters.
If the number of dimes exceeded the number of nickels by 1, and
the number of quarters was equal to the number of nickels
decreased by one, what was the number of each kind of coin?
There will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that a newsboy has $2.65, consisting of nickels, dimes, and quarters
From the condition, the number of dimes exceeded the number of nickels by 1, and the number of quarters was equal to the number of nickels decreased by one.
Let the number of nickels, dimes, and quarters will be n, d, and q respectively.
1 × n = 5 cents
1 × d = 10 cents
1 × = 25 cent
d = n + 1
q = n – 1
As a result,
$2.65 ×100 = 265 cents.
The obtained equations are,
5n + 10d + 25q =265
d = n + 1
q = n – 1
Replace d with n + 1 and q with n - 1 in the equation
5n + 10× (n + 1) + 25 × (n - 1) = 265
5n + 10n + 10 + 25n - 25 = 265
40n -15 = 265
40n = 280
n = 280/40
n = 7 nickels
Substituting the value of n in the equation we get
d = 8 dimes
q = 6 quarters
n + d + q = 265 cents
35 cents + 80 cents + 150 cents = 265 cents
Convert the units from cents to dollars as
265 /100 = $2.65
Thus, there will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels
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1. Write an expression for the operation described below.
w minus 3
The expression for the operation w minus 3 is w - 3.
What is an expression?It should be noted that an expression simply shows the relationship between the variables given.
In this case, the information given is illustrated as w minus 3.
Therefore, the expression will be:
= w - 3.
Therefore, the expression for the operation w minus 3 is w - 3.
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