Answer:
77 inches
Step-by-step explanation:
Given
1 inch = 3 miles in map
We are also given the actual distance between City A and City B = 231 miles.
In order to get the distance in inches = Distance between City A and City B in miles/ 3
We are dividing the distance by 3 to get the distance in inches.
So,
Distance on map = 231/3
= 77 inches
Answer: 77 inches.
Step-by-step explanation:
You know that this map uses this scale:
[tex]1in=3mi[/tex]
This means that 1 inch in the map represents 3 miles.
In this case, you know that the actual distance between City A and City B is 231 miles, then, to find the distance between the cities on the map, you can set up de following proportion:
[tex]\frac{1in}{3mi}=\frac{x}{231mi}[/tex]
Now, you need to solve for "x":
[tex](231mi)(\frac{1in}{3mi})=x\\\\x=77in[/tex]
Which statement is true about credit cards? A) money is directly withdrawn from bank account B) interest is charged if balance is not paid each month C) you must have enough money in your account to cover your purchases D) if you don’t record your purchases, you may overdraw and have to pay a fine
Answer:its c
Step-by-step explanation:
becuase you cant have a overdrawn bank becuase if you do you have to pay that and the fine.
The true statement about credit cards is that interest is charged if the balance is not paid each month (Option B). Credit cards provide a short-term loan, unlike debit cards, which draw directly from your bank account.
Credit cards work by providing a short-term loan from the credit card company to the user. If the balance is not paid each month, interest is charged on the remaining amount. This is different from debit cards, where money is immediately withdrawn from the user's bank account when making a purchase.
Therefore, option B is correct
Sketch the quadratic function f(x) = -2x2 + 4x + 6. Which key feature of the graph is not true?
A) maximum (1, 8)
B) y-intercept (0, 6)
C) x-intercept (3, 0)
D) x-intercept (-2, 0)
Answer:
D is false
Step-by-step explanation:
f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:
f(x) = -2x^2 + 4x + 6.
Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex. We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.
Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8. So statement A is true: there's a max at (1, 8). This is also the vertex of the graph.
Let's now look at C and D. We evaluate f(x) at x = 3 and x - 2. If the output (y) value is 0, we know we have an x - intercept:
f(3) = -2(9) + 4(3) + 6 = 0. Yes, C is true, (3, 0) is an x-intercept.
f(-2) = -2(4) - 8 + 6 is not 0. Therefore D is false; (-2, 0) is not an x-intercept.
Look at B: Let x = 0 and find y: it's 6. Thus, (0, 6) is the y-intercept. B is true.
Answer:
B) x + 12 < 8 − 3x
Step-by-step explanation:
how many terms does the polynomial have?
Answer: 1 term
Reason:Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, apolynomial with 1 term is a monomial. A polynomial with twoterms is a binomial, and apolynomial with three terms is a trinomial.
Answer:
One Term
Step-by-step explanation:
The answer is one term, because there are no "+" or "-" happening. A term is only separated by the addition/subtraction sign, and since there are neither plus or minus, there is only one term.
In the xy- plane, the graph of the equation y + 3x + 5 is a line that intersects the y-axis at (0,b) what is the value of b?
Answer:
[tex]b=5[/tex]
Step-by-step explanation:
The given equation is:
[tex]y=3x+5[/tex]
To find the point where this line intersect the y-axis, we put x=0 into the given equation.
When x=0, we have [tex]y=3(0)+5[/tex].
This implies that; y=5.
The y-intercept is (0,5).
Comparing (0,5) to (0,b), we can conclude that; b=5
The given equation is not in the correct form. Once corrected to y = -3x - 5, it's clear the y-intercept (b) is -5, so the line intersects the y-axis at the point (0, -5).
The equation of a line in the xy-plane is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
The y-intercept is the value of y when x is zero, which means it is the point at which the line crosses the y-axis.
In the case of the equation provided, y + 3x + 5, this equation is not yet in the standard form for the equation of a line. To find the value of b, we need to isolate y. The correct form of the equation should be y = -3x - 5. Here, the y-intercept b is -5. This means that the line intersects the y-axis at the point (0, -5).
what is the most important thibg one must do when solving an algerbraic equation
Answer:
using the foil
Step-by-step explanation:
you always have to get rid of the x for example if it is +3x you add it on to get rid of it and you carry on until you have solved x.
Answer:
getting the correct answer
Step-by-step explanation:
Find the sum of the first 15 terms of 2 + 6 + 18 + 54 + ...
S_n = n(first term + a_n)/2
n = 15
S_15 = 15(2 + a_n)/2
We need a_n.
a_n = first term + d(n - 1)
a_n = 2 + d(15 - 1)
1. Find d.
2. Plug d into expression to find a_n.
3. After finding a_n, plug back into
S_15 = 15(2 + a_n)/2 to find the sum of the first 15 terms.
Take it from here.
Carl worked six and one-half hours on Monday. He worked eight and two-third hours on Tuesday. How many hours did Carl work in all?
Answer:
15 hours and 10 min
Step-by-step explanation:
6 1/2 hours on Monday
8 2/3 hours on Tuesday
You have to make the fractions equal to each other so you would have
1/2 x 3 = 3/6
2/3 x 2 = 4/6
Then add them together to get
7/6 or 1 1/6
6+8 = 14
Then add the 1 to 14 to get 15
1/6 of an hour is 10 minutes
Therefore your answer would be 15 hours and 10 minutes
HELP ME! NEED TO SUBMIT ASAP!!! ***ADDED PICTURE***
Inconsistent if you look very close it doesn’t match
James bought two T-shirts and one pair of jeans at an online store and paid $40, not including taxes, for his purchase. A month later, the same store
sold the T-shirts and jeans at a 50% discount from their original prices. James bought two T-shirts and five pairs of jeans for $60, not including taxes.
and
Assuming the base prices of the T-shirts and the jeans are the same on both occasions, and ignoring the taxes, the price of a T-shirt is $
the price of a pair of jeans is $
Answer:
[tex]\boxed{\text{\$10; \$20}}[/tex]
Step-by-step explanation:
Let t = the price of a T-shirt
and j = the price of a pair of jeans
You have a system of two equations:
[tex]\begin{cases}(1)& 2t + j = 40\\(2) & 2(0.5t) + 5(0.5j) = 60\end{cases}\\[/tex]
[tex]\begin{array}{lrcll}(3) & t+ 2.5j & = & 60 &\text{Removed parentheses in (2)}\\(4)& 2t + 5j & = & 120 &\text{Multiplied (3) by 2}\\& 4j & = & 80 &\text{Subtracted (4) from (1)}\\(5)& j & = & 20 &\text{Divided each side by 4} \\& 2t + 20& = & 40 & \text{Substituted (5) into (1)} \\&2t & = & 20 & \text{Subtracted 20 from each side}\\& t & = & 20 & \text{Divided each side by 2}\\\end{array}[/tex]
[tex]\text{The price of a T-shirt is \boxed{\textbf{\$10}}}\\\\\text{and the price of a pair of jeans is \boxed{\textbf{\$20}}}\\[/tex]
Check:
[tex]\begin{array}{rclcrcl}2\times10\ + 20 & = & 40 & \qquad &2(0.5\times10) + 5(0.5\times20)&=&60\\20 + 20 & = & 40 & \qquad &2\times5 + 5\times 10& = &60\\40& = & 40 &\qquad &10 + 50 & = & 60\\& & &\qquad &60 & = & 60\\\end{array}[/tex]
OK.
Sawyer recorded the number of different types of pets his friends have in the table shown below:
Cats 2
Dogs 3
Rabbits 1
Guinea Pigs 3
Which of the following plots represents the data in the table?
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 3 crosses, Rabbit has 2 crosses, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 1 cross, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 1 cross, Dog has 2 crosses, Rabbit has 0 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
The answer to your question is "A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners." Because this is the only plot described that fits with the data from the table with the information on how many cats, dogs, rabbits, and guinea pigs there are.
Answer:
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Step-by-step explanation:
Given,
Number of cats = 2,
Dogs = 3,
Rabbits = 1,
Guinea pigs = 3,
Thus, for making the data plot,
We will draw a line,
In which 4 ticks will mentioned, first is for cat, second is for dog, third is for rabbit and fourth is for guinea pigs,
Now, we draw crosses above the each mark that will shows their number.
( shown below )
Hence, second option is correct.
Which inequality is true for x = 2? A) 6x + 20 < 29 B) 7x − 10 < 11 C) 14x + 10 < 37 D) 15x − 18 < 12
For this case we substitute the value of "[tex]x = 2[/tex]" in each of the inequalities and evaluate:
Option A:
[tex]6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29[/tex]
It is not fulfilled!
Option B:
[tex]7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11[/tex]
Is fulfilled!
Option C:
[tex]14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37[/tex]
It is not fulfilled!
Option D:
[tex]15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12[/tex]
It is not fulfilled!
ANswer:
Option B
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to her speed?
A.
distance = speed + 90
B.
distance = speed × 90
C.
distance − speed = 90
D.
distance × 90 = speed
The correct answer is B.
Distance = speed x 90
Answer:
It’s b
Step-by-step explanation:
f(x)=3x^3-12x^2+9x what the factor
Answer:
f(x) = 3x(x-1)(x-3)
Step-by-step explanation:
f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =
= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =
= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)
Answer:
3x(x - 1)(x - 3)
Step-by-step explanation:
the sum of the coefficients = 3 - 12 + 9 = 0
hence x = 1 is a root of f(x) and (x - 1) is a factor
dividing 3x³ - 12x² + 9x gives
f(x) = (x - 1)(3x² - 9x)
= (x - 1)3x(x - 3) = 3x(x - 1)(x - 3) ← in factored form
Four points from a line are shown in the table below.
INPUT OUTPUT
lol 3
| 1 | 2
12 . 1
3 .
Use the table to determine the slope-intercept form of the equation of the line.
CA. y = 3x-1
B.
y = x + 3
c. y = 3x + 1
D.
y = -x + 3
Answer:
Correct choice is D. [tex]y=-x+3[/tex].
Step-by-step explanation:
pick any two points from the table say (0,3) and (1,2)
Now we we can use both points to find the equation of line.
slope [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]
now plug slope m=-1 and any point say (0,3) into point slope formula
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-3=-1\left(x-0\right)[/tex]
[tex]y-3=-1\left(x\right)[/tex]
[tex]y-3=-x[/tex]
[tex]y=-x+3[/tex]
Hence correct choice is D. [tex]y=-x+3[/tex].
Which largest geometric shape can we get from a rope?
Answer:
A circle.
Step-by-step explanation:
This is it the correct answer to this question.
Hope this helps!!!
Kyle.
What is 63.14 X 2.08
Answer:
131.3312
Step-by-step explanation:
Answer:
131.3312
Step-by-step explanation:
63.14
x 2.08
50512
0000
12628
131.3312
A cylindrical grain bin has a radius of 7 feet and a height of 25 feet. How many cubic feet can the unit hold?
Answer:
3847 ft³
Step-by-step explanation:
The volume of a cylinder of radius r and height h is V = πr²h.
Here, the volume is V = π(7 ft)²(25 ft) = 1225π ft³, or approximately 3847 ft³.
the expression (5x-15)° represents the measure of one interior angle of a regular triangle. what is the value of x?
The value of x in the expression (5x-15)°, which is the measure of an interior angle of a regular triangle, is 15.
Explanation:The expression (5x-15)° is given as the measure of one interior angle of a regular triangle. This is a bit complex, as regular triangles, also known as equilateral triangles, only have angles that measure 60° each. Thus, we can set up the equation 5x - 15 = 60.
Solving for x, we get:
Add 15 to both sides: 5x = 75.Then divide every term by 5: x = 15.So, the value of x that would result in each angle of an regular triangle measuring (5x-15)° is 15.
Learn more about Regular Triangle here:https://brainly.com/question/31223205
#SPJ3
What is the area of the rectangle?
_________ft2
Answer: 180 ft2
Step-by-step explanation:
The formula for the area of a rectangle is Area = length X width. Since the length is 20 feet and the width is 9 feet , you multiply 20 X 9, which gives you 180 square feet. Hope this helps!
Alicia receives 2/5 of a $120 gift, and Jason receives 1/3 of the gift. What is the ratio of Jason's share to Alicia's share? Express your answer as a common fraction. Plzzz help this is urgent
Answer:
5/6
Step-by-step explanation:
Step 1: Find Alicia's share of the gift. To do this, all you have to do is multiply 120 by 2/5, which is 40%. 120 * 40% (0.4) is 48. Alicia's share is $48.
Step 2: Find Jason's share of the gift. In this case, divide 120 by 3. 120/3 is 40. Jason's share is $40.
Step 3: Express the numbers as a fraction and simplify it. 40/48 is the common fraction. Find the GCF of 40 and 48. When you solve for it, the GCF is 8. Divide both the numerator and the denominator by 8. 40/8 is 5/ 48/8 is 6. There. 5/6 is our simplified fraction, which is the ratio.
John, Rick, and Molli can paint a room working together in 6 hours. Alone, John can paint the room in 12 hours. If Rick works alone, he can paint the room in 15 hours. Write an equation comparing the group rate to the sum of the individual rates. Then find how long it will take Molli to paint the room if working alone.
Answer:
[tex]\dfrac{1}{12}+\dfrac{1}{15}+\dfrac{1}{x}=\dfrac{1}{6}[/tex]
60 hours
Step-by-step explanation:
John - 12 hours
Rick - 15 hours
Molli - x hours
Together - 6 hours
Each of them can paint:
John - [tex]\frac{1}{12}[/tex] of a room per hour
Rick - [tex]\frac{1}{15}[/tex] of a room per hour
Molli - [tex]\frac{1}{x}[/tex] of a room per hour
Together - [tex]\frac{1}{6}[/tex] of a room per hour
So the equation is
[tex]\dfrac{1}{12}+\dfrac{1}{15}+\dfrac{1}{x}=\dfrac{1}{6}[/tex]
Solve this equation:
[tex]\dfrac{1}{x}=\dfrac{1}{6}-\dfrac{1}{12}-\dfrac{1}{15}\\ \\\dfrac{1}{x}=\dfrac{10-5-4}{60}=\dfrac{1}{60}\\ \\x=60[/tex]
Molli can paint the room in 60 hours.
what is the slope of a line paralle to a line with a slope of -5 /6
Answer:
-5/6
Step-by-step explanation:
in order for a line to be parallel to the other it must have the same slope (angle)
The slope of a line parallel to a line with a slope of -[tex]\frac{5}{6}[/tex] is also −[tex]\frac{5}{6}[/tex], as parallel lines have identical slopes to demonstrate a consistent rate of change.
The question concerns the concept of parallel lines in coordinate geometry. When two lines are parallel, they have the same slope. Therefore, a line parallel to another line with a slope of −[tex]\frac{5}{6}[/tex] will also have a slope of −[tex]\frac{5}{6}[/tex]. This value reflects the consistent rate of change in the y-value per unit of change in the x-value along the line.
It's important to remember that this slope is unchanging for a given straight line, as it represents the regression line: a summary of the average relationship between two variables in a scatter diagram.
John is 1 8 meter shorter than Paul, and Paul is 0.25 meter taller than Andrew. If John’s height is 1 3 4 meters, what is Andrew’s height?
Answer:
Andrew's height is [tex]1\frac{5}{8}[/tex] meters
Explanation:
We know that John's height is [tex]1\frac{3}{4}[/tex] meters
We are given that:
John is [tex]\frac{1}{8}[/tex] meters shorter than Paul
This means that:
Paul's height = John's height + [tex]\frac{1}{8}[/tex]
Paul's height = [tex]1\frac{3}{4} + \frac{1}{8} = 1\frac{7}{8}[/tex] meter
We are given that:
Paul is 0.25 meters taller than Andrew
This means that:
Andrew's height = Paul's height - 0.25
Andrew's height = [tex]1\frac{7}{8} - 0.25 = 1\frac{5}{8}[/tex] meters
Hope this helps :)
Answer:
1 5/8 meters....
Step-by-step explanation:
I need help with how to solve this problem. It is #14. It already shows the answer (1point) but I need help on how to get there please.
Answer:
Option 4: 0.554
Step-by-step explanation:
As we can see that the intervals and their frequencies are given.
We have to calculate the probability of students' score falling between 70 and 89. It will use the frequency of both intervals 70-79 and 80-89.
So, combined scores of both intervals are:
172+105 = 277
Now to find the probability
= 277/500
=0.554
So option no 4 is the correct answer ..
A workboxm has the following interior dimensions:
Length -5”
Width-3 1/2”
Height- 4”
What is the interior volume of the work box?
Answer:
The interior volume of the work box is 70 inches³
Step-by-step explanation:
* Lets talk about the volume of the regular solid
- The volume of the solid = area of the base × its height
- If the base of the solid shaped rectangle
∵ The area of the rectangle = Length × width
∴ The volume = Length × width × Height
* Now lets solve the problem
- The work box has three dimensions
# Length = 5 inches
# Width = 3.5 inches
# Height = 4 inches
∴ The work box is shaped a rectangular solid
∴ Its volume = Length × width × height
∵ Length = 5 inches
∵ Width = 3.5 inches
∵ Height = 4 inches
∴ The volume = 5 × 3.5 × 4 = 70 inches³
* The interior volume of the work box is 70 inches³
[tex]10 {x}^{2} - 6 = 144 [/tex]
Answer:
[tex]\large\boxed{x=\pm\sqrt{13}}[/tex]
Step-by-step explanation:
[tex]10x^2-6=144\qquad\text{add 6 to both sides}\\\\10x^2=130\qquad\text{divide both sides by 10}\\\\x^2=13\to x=\pm\sqrt{13}[/tex]
Which of the following is the correct factored form of the given equation?
x 2 + 3x - 4 = 0
For this case we must factor the following expression:
[tex]x ^ 2 + 3x-4 = 0[/tex]
We must find two numbers that when multiplied give as result -4 and when summed give as result +3. These numbers are +4 and -1:
[tex]+ 4-1 = + 3\\4 (-1) = - 4[/tex]
Then, the factorization is given by:
[tex](x + 4) (x-1) = 0[/tex]
Answer:
[tex](x + 4) (x-1) = 0[/tex]
A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). The equation of line t is y = −3 4 x + 2. What is the solution to this system of linear equations?
ANSWER
[tex]x = 4[/tex]
and
[tex]y = - 1[/tex]
EXPLANATION
Line s has equation:
y=x-5
And line t has equation:
[tex]y = - \frac{3}{4}x + 2[/tex]
We equate the two equations to get:
[tex]x - 5 = - \frac{3}{4} x + 2[/tex]
Multiply through by 4
[tex]4x - 20 = - \frac{3}{4} x \times 4 + 2 \times 4[/tex]
[tex]4x - 20 = - 3 x + 8[/tex]
[tex]4x + 3x = 8 + 20[/tex]
7x=28
[tex]x = \frac{28}{7} = 4[/tex]
[tex]y = 4 - 5 = - 1[/tex]
Answer:
(4, -1) is the solution of the system of equations.
Step-by-step explanation:
A system of equations consists of a line y = x - 5 and a line passing through two points (0, 2) and (8, -4)
And the equation of that passes through these points will be [tex]y=-\frac{3}{4}x+2[/tex]
Now we have to find the solution of the system of linear equations.
By equating both the equations
x - 5 = [tex]-\frac{3}{4}x+2[/tex]
Now we multiply this equation by 4
4(x - 5) = -3x + 4×2
4x - 20 = -3x + 8
4x + 3x = 8 + 20
7x = 28
x = 4
Now we put x = 4 in the equation y = x - 5
y = 4 -5
y = -1
Therefore, (4, -1) is the solution of the system of equations.
What is in extraneous solution to the equation b/b-7 - 2/b = 7/ b-7 ?
Answer:
b = 2 or b = 7
Step-by-step explanation:
b/(b-7) - 2/b = 7/ (b-7)
b * b - 2(b - 7) = 7 * b
b^2 - 2b + 14 = 7b
b^2 - 9b + 14 = 0
(b - 2)(b - 7) = 0
b - 2 = 0; b = 2
b - 7 = 0; b = 7
Answer
b = 2 or b = 7
How many times does the equation f(x)=2x^2+9x-5 intersect the x-axis
Answer:
2
Step-by-step explanation:
f(x)=2x^2+9x-5
When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero
0=2x^2+9x-5
Factor the equation
0 = (2x+1) (x-5)
2*1
1*-5 = -5
2*-5 +1*1 = -9
This checks for the first last and middle terms so we factored correctly
Then using the zero product property
2x+1 = 0 and x-5 =0
2x = -1 x=5
x = -1/2 and x=5
This function crosses the x axis 2 times