Answer:
C) y -1 = -8
Step-by-step explanation:
The solutions to the various equations are ...
w = -7/-4 = 1.75 . . . . . divide by -4
x = 3/2 = 1.50 . . . . . . .divide by 2
y = -7 . . . . . . . . . . . . . .add 1
z = 5 . . . . . . . . . . . . . . add 1
The value farthest from 0 is y = -7, corresponding to choice C.
A rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the length and width of the garden.
Answer:
Length = 34 and Width = 30
Step-by-step explanation:
This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:
Rectangle's Perimeter is 128 ft."the garden is 4 feet longer than it is wide," this simply means that the Length is 4 feet longer than the Width: which algebraically translates to [tex]L = 4 + W[/tex]Perimeter formula for Rectangle is [tex]P = 2(L+W)[/tex]First, we find the Width by plugging the given values in the formula:
[tex]128 = 2((4 + W) + W)\\128 = 8 +2W + 2W\\120 = 2W + 2W\\120 = 4W\\W = \frac{120}{4}\\\ W = 30[/tex]
All we did here was substituting 4 + W for L to find the Width.
Now, to find the Length we plug in the value of W and solve for L:
[tex]128 = 2(L + 30)\\\frac{128}{2} = (L + 30)\\64 = L + 30\\64 - 30 = L\\L = 34[/tex]
Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)
Keep working hard and good luck. <3
Quadrilateral ABCD is graphed on a coordinate plane with the vertices A(-9,-6), B(-4,-6), C(-3,-2), and D(-8,-2). A. Quadrilateral ABCD is translated to the left 2 units and up 6 units. Write the translation in terms of x and y using ordered pair notation. B. Determine the coordinates of the vertices of the image. Be sure to name each of the vertices of the image with the correct notation.
2 units to the left , you need to subtract 2 from each x value. Up 6 units, you add 6 to each y value.
A’(-11,0), B’(-6,0), C’(-5,4), D’(-10,4)
Draw the new shape at these new points and label as I have them written.
N this conversation the two people speak a total of 42 words in 21 seconds. When we have a comparison of two numbers with different units (like words and seconds), that is called a _______ .
Answer: I believe it would be called a rate.
1. Jean spent $37.50 for 500 paperclips. How much did he pay for each paperclip?
Answer:
Step-by-step explanation:
It's simple simply do
3750÷500=7.5
Answer:
0.075
Step-by-step explanation:
0.075x500=37.50
what is the pattern between 5,3,9,7,13
Answer it takes away 2 than adds 3 and takes away 2 than instead of adding 3 on the fourth number it adds 6 so maybe it doubles the number it adds every time or it adds three onto the last number it added with and continues like that.
Step-by-step explanation:
What is the sum of 5.89732 304.615
Answer:
310.51232
Step-by-step explanation:
here's your answer
if you were to describe a translation of triangle ABC what information would you need to include your description
Answer:
In order to describe the translation of the triangle ABC we need to know the rule of translation, i.e. we need to know how many units to the left or to the right the x coordinate will move and how many units up or down the y coordinate will move
Step-by-step explanation:
You need to how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
The rule of translation, which states how many units the x coordinate will move to the left or right and how many units the y coordinate will move up or down, must be understood in order to describe the translation of the triangle ABC.
Learn more about the Scale images here:
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I NEED HELP PLEASE !!!
Answer:
-3
Step-by-step explanation:
Solve each piece then use order of operations to solve.
[tex]4^{\frac{1}{2} }[/tex] = 2
[tex]\sqrt[4]{16}[/tex] = 2 so [tex]\frac{2}{\sqrt[4]{16} }[/tex] = [tex]\frac{2}{2}[/tex] = 1
Use the order of operations to finish solving. Multiplication and division come before addition and subtraction.
2 * 1 - 10 ÷ 2
2 - 5 = -3
-3
if x+y=5,x-y=4,find the value of x²-y²
Answer:
20
Step-by-step explanation:
→ First find the value of x and y
x + y = 5
x - y = 4
→ Add the equations to cancel out the y's
2x = 9
→ Divide both sides by 2 to find the value of x
x = 4.5
→ Substitute x = 4.5 back into x - y = 4 to find the value of y
4.5 - y = 4
→ Minus 4.5 from both sides to isolate -y
-y = -0.5
→ Multiply everything by -1
y = 0.5
→ Substitute x = 4.5 and y = 0.5 into x² - y²
4.5² - 0.5² = 20.25 - 0.25 = 20
What is an expression which represents the sum of (3x-7y) and (10x+3y) in simplest terms?
Answer:
13x-4y
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(3x - 7y) + (10x + 3y)
Add like terms.
3x + 10x - 7y + 3y
13x - 4y
Thus,
The sum of the expression (3x - 7y) and (10x + 3y) is 13x - 4y.
Learn more about expressions here:
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Which of the following statements are true? The coordinates of point p (2,3) lie along the directed segment
Answer:
3
ehebehejhebehsueywbw
Answer:
It was number 2
Step-by-step explanation:
The one where P is located at (3,5)
The division property of 5x - 10 = 0
Answer:
x=2
Step-by-step explanation:
5×-10=0
5×=10
so you divide both sides by 5
Answer:
x=2
Step-by-step explanation:
what's must be added to the number below to make it divisible by 11 82604_9
Answer:
3
Step-by-step explanation:
8260439 / 11 = 750949
f(x)=10. Find f^-1(x)
Answer:
See below.
Step-by-step explanation:
This question cannot be answered with the information that is given since we don't know what f(x) or f^-1(x) are.
Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represent the height of Alice in m above or below the centre of the Ferris wheel. Relative to the centre of the Ferris wheel, what is the lowest height Alice achieves?
Answer:
Alice reaches 11 metres below the centre as lowest height.
Step-by-step explanation:
Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:
[tex]h(t) = 11\cdot \cos (12\cdot t)[/tex]
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h(t)[/tex] - Height with respect to centre, measured in metres.
If [tex]\cos (12\cdot t) = -1[/tex], then:
[tex]h_{min} = 11\cdot (-1)[/tex]
[tex]h_{min} = -11\,m[/tex]
Alice reaches 11 metres below the centre as lowest height.
Answer: 80m got it on edge
Riley is saving up to buy a new television. She needs a total of $1,372.35. Riley has saved $200.55 already and earns $78.12 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television? A. 14 B. 16 C. 15
Answer: C. 15
Step-by-step explanation: You take the total amount that she needs: $1,372.35 and you subtract $200.55. Then you are left with $1171.1. This is the amount that she needs still. Then you take $78.12 and multiply it by 15. You get $1171.8. Then when you add $200.55 and $1171.8 you get $1171.1.
16. Peter works part time for 3 hours every day and Cindy works part time for 2 hours every day. a. If both of them get $4.50 an hour, write an inequality to compare Peter's and Cindy's earnings.
Answer:
Inequality:
$14.5 > $9
OR
Peter's earnings > Cindy's earnings
Step-by-step explanation:
Number of hours Peter works every day = 3 hours
Number of hours Cindy works every day = 2 hours
Earnings per hour for both of them = $4.50
Total daily Earnings for Peter = Number of hours worked by Peter multiplied by hourly earnings of Peter
Total daily Earnings for Peter = 3 \times $4.50 = $13.5
Total daily Earnings for Cindy = Number of hours worked by Cindy multiplied by hourly earnings of Cindy
Total daily Earnings for Cindy = 2 \times $4.50 = $9
Comparing the daily earnings of Peter and Cindy, we can see that Earnings for Peter is greater than that of Cindy.
Inequality:
$14.5 > $9
OR
Peter's earnings > Cindy's earnings
Which equation is correctly rewritten to solve for x?
x/r - s = t A. x = t+s/r B. x= rt + s C. x= r(t + s) D. x= r(t - s)
Answer:
x=r(t+s)
Step-by-step explanation:
x/r - s = t
x/r=t+s
x=r(t+s)
Answer:
x=r(t+s)
Step-by-step explanation:
hope this helps
What is the inverse of y=r? + 8?
Answer:
F-1(x)=x+8
Step-by-step explanation:
What is the inverse of y=r? + 8?
I hope this help.
what is 5b=25 equivalent to?
Answer:
5×5=25
Step-by-step explanation:
25 divided by 5 is the answer to b which is 5 then what equals 25? answer is 5 times 5
you randomly pull a scrap from a bag of scraps. the bag has 1 red scrap, 3 pink scraps, and 4 black scraps. what is the probability of drawing a pink scrap?
Answer:
3/8 or 37.5%
Step-by-step explanation:
solve for x -18+26=-2(x+2)
Answer:
x = -6
Step-by-step explanation:
-18 + 26 = -2(x + 2)
8 = -2x - 4
12 = -2x
x = -6
i need help with number 1 please help
Answer:
D. they are noncollinear
Step-by-step explanation:
this is because they aren't in one straight line going x, y, z, w. because they intersect and make cross shape.
Need help with 6 math problems please
Answer:
9) 60
10) 16
11) 12
12) 3
13) 60
14) 4
Step-by-step explanation:
9) (2)(5)(6)
(10)(6)
60
10) 4(5-1)
4(4)
16
11) 3+4+2+6
7+2+6
9+6
12
12) 3- (1-[tex]\frac{6}{6}[/tex])
3- (0)
3
13) 5(6+1+6-1)
5(7+6-1)
5(13-1)
5(12)
60
14) 2-3(1-1)+4
2-3(0)+4
-1(0)+4
0+4
4
Points A, B, C, D, and E are collinear and AC= 16 What is x?
Answer:
[tex] x = 3 [/tex]
Step-by-step explanation:
Since points, A, B, C, D and E are collinear, AB = x + 7, BC = 2x, AC = 16, therefore:
[tex] AB + BC = AC [/tex]
[tex] (x + 7) + 2x = 16 [/tex]
Solve for x
[tex] x + 7 + 2x = 16 [/tex]
[tex] 3x + 7 = 16 [/tex]
Subtract both sides by 7
[tex] 3x + 7 - 7 = 16 - 7 [/tex]
[tex] 3x = 9 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
[tex] x = 3 [/tex]
Can someone please help?
Answer:
Multiply by 3, 162
Step-by-step explanation:
2 x 3 is 6.
6 x 3 is 18.
18 x 3 is 54.
54 x 3 is.... you get the deal.
54 x 3 is 162.
Work out 114 % of 818.07 kg Give your answer rounded to 2 DP.
Answer:
932.60 kg
Step-by-step explanation:
To find a percent of a number, change the percent to a decimal and multiply by the number.
114% of 818.07 kg =
= 114% * 818.07 kg
= 114/100 * 818.07 kg
= 1.14 * 818.07 kg
= 932.60 kg
Answer:932.60
Step-by-step explanation:
i had the same question on hegarty lol
What two whole numbers will the v54 fall between?
Answer:
7 and 8
Step-by-step explanation:
7 X 7= 49 8 X 8= 64 and you can't get closer unless you make it a decimal
Use the remainder theorem to find which of the following is not a factor of x^3+12x^2+47x+60 a. x+5 b. x-5 c. x+4 d. x+3
Answer:
b. x-5.
Step-by-step explanation:
If x + 5 is a factor then f(-5) will be = 0.
f(-5) = 0 so it is a factor.
f(5) = 720 so (x - 5) is not a factor.
Answer:
B) x - 5
Step-by-step explanation:
The remainder theorem states the given a polynomial f(x), if f(x) is divided by x - a, the remainder will be f(a). Therefore, one needs to verify if f(a) = 0 in order to confirm it to be a factor of f(x).
a) x + 5:
f(a) = f(-5) = (-5)³ + 12(-5)² + 47(-5) + 60 = 0
b) x - 5:
f(a) = f(5) = (5)³ + 12(5)² + 47(5) + 60 = 720
c) x + 4:
f(a) = f(-4) = (-4)³ + 12(4)² + 47(4) + 60 = 0
d) x + 3:
f(a) = f(-3) = (-3)³ + 12(-3)² + 47(-3) + 60 = 0
One can observe that only the item B has f(a) not equaling 0, and thus it cannot be a factor of f(x).
how many phone numbers are possible in the (404) area code if the seven digit number have the form FGH-XXXX where F is restricted to 3-9 and X,G and H can be any digit 0-9?
Answer:
900 phone numbers possible.
Step-by-step explanation:
Given the seven digit numbers are of the form:
FGH-XXXX
Possibilities for F = 3 - 9 and X i.e. 9 possibilities
Possibilities for G = 0 - 9 i.e. 10 digits
Possibilities for H = 0 - 9 i.e. 10 digits
To find:
How many numbers are possible ?
Solution:
This problem is nothing but a problem in which we have to find out how many numbers are possible where each digit has a few options available.
Number of ways to select F = 8 digits from 3 to 9 and 1 alphabet X = 9
Number of ways to select G = 10 digits from 0 to 9
Number of ways to select H = 10 digits from 0 to 9
XXXX part will be same in all the numbers.
So, total phone numbers possible = [tex]9 \times 10 \times 10 = \bold{900}[/tex]
Hence, the answer is:
900 phone numbers possible.