Answer:
[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]
Step-by-step explanation:
Parralel lines have the same slope.
The slope will be [tex]\frac{3}{4}[/tex]
For one day, Lacy recorded the low temperatures in five U.S. Cities. The temperatures were 5°C, -1°C,- 3°C, 2°C, and 0°C. Use a number line to order them from least to greatest.
Answer:
See Attachment for number line
Step-by-step explanation:
Given
Temperatures: 5°C, -1°C,- 3°C, 2°C, and 0°C
Required
Order from least to greatest using number line
First, we have to order the temperatures:
In order from least to greatest, we have: -3°C -1°C 0°C 2°C 5°C
Next, we calculate the range;
Range = Highest - Least
Range = 5°C - 3°C
Range = 2°C
See Attachment for number line
preform the indicated multiplication below. reduce the terms and simplify (2+i)(3-i)(1+2i)(1-i)(3+i)
Answer:
Hey there!
Expand (2+i)(3-i). You should get 7+i
Expand (7+i)(1+2i). You should get 5+15i
Expand (5+15i)(1-i). You should get 20+10i
Expand (20+10i)(3+i). You should get 50+50i as your final answer.
Let me know if this helps :)
Write an expression to represent:
Eight more than the product of two and a number
x
Answer:
2x+8
Step-by-step explanation:
f(13) = -3x+ 7
What’s the answer?
Answer:
3.3
Step-by-step explanation:
7-7=0
-3+-7=-10
10 divided by 3 is 3.3
On a number line, suppose the coordinate of A is 0 and AR=21. What are the possible coordinates of the midpoint of AR?
Answer:
The possible coordinates of the midpoint are -10.5 and 10.5
Step-by-step explanation:
The given parameters are;
The coordinate of A = 0
The distance from A to R which is the same as AR = 21
Given that R is on the number line, we have;
When R is on the left side of A, which is = 0 - 21 = -21, we have;
The coordinates of the midpoint, M from -21 to 0 is given as follows;
M = (A + R)/2 = (0 - 21)/2 = -10.5
When R is on the right side of A, which is = 21 - 0 = 21, we have;
The coordinates of the midpoint, M from 21 to 0 is given as follows;
M = (A + R)/2 = (0 + 21)/2 = 10.5
Therefore, the possible coordinates of the midpoint are -10.5 and 10.5.
-4+2(-2+5)^2
______________
5-(2-4)^3
Answer:
32/13
Step-by-step explanation:
Please include the instructions when you post a problem.
Let's assume you re to simplify this expression.
We get:
-4+2(-2+5)^2 -4 + 2(3)^2 -4 + 36
__________ = ------------------- = ----------------- = 32/13
5-(2-4)^3 5 - (-2)^3 5 + 8
Sumi
Cal's go cart has a gas tank with the dimensions shown below.
He uses a gas can that holds 1 liter of gas, to fill the go cart tank.
1 liter = 1000 cm
and d
cm
and d
ems
25 cm
40 cm
How many full gas cans will it take to fill the go cart's gas tank?
Answer: 8 liters can.
Step-by-step explanation:
First we need to find the volume of the cart tank . Since it is in the shape of a rectangular prism we have to multiply the length by the width by the height to find the volume.
V= 40 * 25 * 8
V = 8000
Which means that the volume is 8000 cubic centimeters.
Now convert 8000 cubic centimeters to liter.
It gives us a hint that 1 liter is equal to 1000 cm^3
So to convert 8000 cubic centimeters to liters we will have to divide it by 1000.
8000/1000 = 8 liters.
E3-7 the ledger of perez rental . Agency in March 31 of the current year include the selected accounts shown below before adjusting entries have been prepared
Answer:
1) Debit Depreciation expenses for $1,200; and Credit Accumulated depreciation for $1,200.
2) Debit Unearned Rent Revenue for $3,400; and Credit Rent Revenue for $3,400.
3) Debit interest expenses for $500; Credit Interest payable for $500.
4) Debit Supplies expenses a/c for $1,900; and Credit Cost of goods sold for $1,900.
5) Debit Insurance expense for $600; Credit Insurance prepaid for $600.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided for answering the question. See the attached pdf file for the complete question.
The explanation to the answer is now provided as follows:
The adjusting entries at March 31 will look as follows:
Perez Rental Agency
Date Accounts Name Dr($) Cr($)
Mar 31 Depreciation exp. ($400 * 3monts) 1,200
Accumulated depreciation 1,200
(To record depreciation expenses.)
Mar 31 Unearned Rent Revenue 3,400
Rent Revenue (1/3 * $10,200) 3,400
(To record earned unearned rent revenue.)
Mar 31 Interest expenses a/c 500
Interest payable 500
(To record accrued interest on note payables.)
Mar 31 Supplies expenses a/c ($2,800 - 900) 1,900
Supplies on hand 1,900
(To record supplies expenses.)
Mar 31 Insurance exp. ($200 * 3 months) 600
Prepaid insurance 600
(To record expired prepaid insurance.)
Given parallelogram ABCDABCD, diagonals ACAC and BDBD intersect at point E. AE=2x, BE=y+10, CE=x+2AE=2x, BE=y+10, CE=x+2 and DE=4y−8DE=4y−8. Find yy.
Answer:
y = 6
Step-by-step explanation:
Given a parallelogram ABCD with diagonals AC and BD.
Kindly refer to the diagram attached for the given parallelogram.
[tex]AE=2x\\BE=y+10\\CE=x+2\\DE=4y-8[/tex]
To find:
The value of y = ?
Solution:
First of all, let us consider a property of parallelogram and its diagonals.
The intersecting point of diagonals of a parallelogram bisect the diagonals in two equal parts.
Let us consider the given parallelogram ABCD which has its diagonals BD and AC intersecting at point E.
As per the property stated above:
AE = CE and
DE = BE
Putting the values of AE, CE, DE and BE as given in the question statement and solving for [tex]x[/tex] and [tex]y[/tex]:
[tex]2x = x+2\\\Rightarrow \bold{x = 2}[/tex]
and
[tex]y+10=4y-8\\\Rightarrow 4y-y = 10+8\\\Rightarrow 3y=18\\\Rightarrow y =\dfrac{18}{3}\\\Rightarrow \bold{y= 6}[/tex]
So, the answer is:
y = 6
Write the inequality for the graph below. In two or three sentences, explain how you generated the inequality. Make sure to explain how you got the slope, y-intercept, and inequality.
Please Help, I Really Need The Answer To This Question
Answer: y < (-1/4)*x + 1.
Step-by-step explanation:
The first thing you need to notice is that the line is not solid and that the shaded part is under the line, so our inequality will be strictly smaller than a linear equation.
y < a*x + b.
Now let's find the equation of the line.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In the graph, we can see that the line passes through the points: (0,1) and (4. 0)
Then the slope is:
a = (0 - 1)/(4 -0) = -1/4.
Now we know that the line is:
y = (-1/4)*x + b
To find the value of b, just replace the value of one of the points in the equation.
We know that (0,1) is a solution of the equation (x= 0, y = 1)
1 = (-1/4)*0 + b = b
1 = b
Then our inequality is:
y < (-1/4)*x + 1.
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg what are the quantities of the two dry fruits separately?
Answer:
Almonds = 400grams
Cashew = 300 grams
Step-by-step explanation:
Let the grams of cashew be represented by = C
the grams of almonds be represented by = A
A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel
C + A = 700g ......Equation 1
C = 700 - A
If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg
Let's convert them to grams
1 kg = 1000grams
For almonds
= 288/1000 = 0.288g
For cashew
= 336/1000 = 0.336g
Hence,
0.288 × A + 0.336g × C = ₹216
0.288A + 0.336C = 216
From Equation 1, substitute 700 - A for C in Equation 2
0.288A + 0.336(700 - A) = 216
0.288A + 235.2 - 0.336A = 216
Collect like terms
0.288A - 0.336A = 216 - 235.2
- 0.048A = -19.2
A = -19.2/-0.048
A = 400 grams
Substitute 400g for a in Equation 1
C + A = 700g ......Equation 1
= C + 400g = 700g
C = 700g - 400g
C = 300g
Therefore, the number of grams of Almonds = 400grams
Cashew = 300 grams
Kelly likes to fish at the lake near her house. She caught 8 fish last week, measured them, and put them back in the lake. The
lengths of the fish, in inches, are shown.
9, 12, 10, 8, 11, 12, 13,6
Assuming this data is representative of the fish in the lake, what is the mean length of the fish in the lake?
OA. 1.875 inches
OB
10.5 inches
Ос.
3.5 inches
OD
10.125 inches
Answer:The answer is OD 10.125
Step-by-step explanation:
Add all the lengths of the fish (6+8+9+10+11+12+12+13) = 81
Divide by 8
81/8
=10.125
Write an equation in slope intercept form for the graph (-3,3) (3,-1)
Answer:
y = (-3/2)x + 7/2
Step-by-step explanation:
Find the slope of this line first.
As you move from the first point to the second, x (the 'run') increases by 6 and y (the 'rise') decreases by 4 (from 3 to -1). Thus the slope is
m = rise/run = -6/4 or -3/2.
Find b for this situation, using y = mx + b, m = -3/2, y = -1 and x = 3:
-1 = (-3/2)(3) + b. Multiply all three terms by 2:
2(-1) = -9 + 2b, or 7 = 2b. Then b = 7/2, and the desired equation is
y = (-3/2)x + 7/2
Write the equation of the line in slope intercept form that passes through (-2, -8) and (-9, 4)
Please provide steps to solve if possible
Answer:
[tex]y=-\frac{12}{7}x-\frac{80}{7}[/tex]
Step-by-step explanation:
In order to find the slope-intercept form of a line when given two points, we need to first put it into point-slope form. The point-slope form is given by the equation:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and x₁ and y₁ is one of the two points.
Anyways, let's first find the slope. Let's designate (-2,-8) as x₁ and y₁ and (-9,4) as x₂ and y₂ (it doesn't really matter). The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{(4)-(-8)}{(-9)-(-2)}=12/-7=-12/7[/tex]
So, the slope is -12/7.
Now, pick a point for the point-slope form. To keep things consistent, I'm going to use the point (-2,-8) as x₁ and y₁. Plug in -12/7 for m. Therefore:
[tex]y-(-8)=-\frac{12}{7}(x-(-2))\\[/tex]
Now, simplify, distribute, and isolate the y:
[tex]y+8=-\frac{12}{7}(x+2)\\y+8=-\frac{12}{7}x-\frac{24}{7}\\y=-\frac{12}{7}x-\frac{24}{7}-8\\y=-\frac{12}{7}x-\frac{24}{7}-\frac{56}{7} \\y=-\frac{12}{7}x-\frac{80}{7}\\y=-\frac{12}{7}x-\frac{80}{7}[/tex]
Find the exact value of tan A in simplest radical form.
Answer:
60/11
Step-by-step explanation:
tan A = 60/11
Answer:
tan A = 60/11
Find the measure of GE¯¯¯¯¯¯¯¯. A. 14 B. 20 C. 15 D. 16
Answer:
D. 16
Step-by-step explanation:
[tex] GH^2 = GF \times GE[/tex]
[tex] 12^2 = 9 \times (9+x - 2)[/tex]
[tex] 144= 9 \times (7+x)[/tex]
[tex] \frac{144}{9}= (7+x)[/tex]
[tex] 16= 7+x [/tex]
[tex] 16-7=x [/tex]
[tex] 9=x [/tex]
GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2
GE = 16
help me pretty plzzzzzzzzzzzzz
Answer:
A) A
Step-by-step explanation:
The square root of 7 is just over two and a half.
Answer:
A. A
Step-by-step explanation:
Step 1: Find closest perfect roots near √7
We know that √4 = 2
We also know that √9 = 3
√7 is between √4 and √9, so √7 is between 2 and 3.
Therefore, our answer is A.
simplify 40+8×2-8×3
Answer:
32
Step-by-step explanation:
Use the correct order of operations.
40 + 8 × 2 - 8 × 3 =
= 40 + 16 - 24
= 56 - 24
= 32
Factor 13x2 + 13x + 9x + 9 = 0
Answer:
[tex]\Large \boxed{x=\frac{-9}{13} \ \ \mathrm{or} \ \ x = -1}}[/tex]
Step-by-step explanation:
[tex]13x^2 + 13x + 9x + 9 = 0[/tex]
Factor the expression.
[tex]13x(x+1)+9(x+1)=0[/tex]
Take (x + 1) as a common factor.
[tex](13x+9)(x+1)=0[/tex]
Set factors equal to 0.
First possibility:
[tex]13x + 9 = 0[/tex]
[tex]13x=-9[/tex]
[tex]\displaystyle x=\frac{-9}{13}[/tex]
Second possibility:
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
Help!!!!!!!!!!!!!!!!!!!!!
x < -3 or x > 1
=====================================================
Work Shown:
Solve the first inequality for x
3x+2 < -7
3x < -7-2 .... subtract 2 from both sides
3x < -9
x < -9/3 .... divide both sides by 3
x < -3
Do the same for the second inequality
-4x+5 < 1
-4x < 1-5
-4x < -4
x > -4/(-4) .... note the inequality sign flips
x > 1
So either x < -3 or x > 1. This points to choice A as the answer.
The measures of two angles of a triangle are 49° and 75°. Find the measure of the third angle in degrees.
Answer:
The third angle is 180-(49+75)=56 degrees
HOPE IT HELPS
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MARK IT AS BRAINLIEST INBOX
Answer:
56
Step-by-step explanation:
TOTAL ANGLE IN A TRIANGLE =180°180 -(49+75)180 - 124=56°CHECK56+49+75=180°PLSSSS HELPP: One day at a particular school, 15% of the students were absent and there were 1020 students at school that day. How many students did the school have altogether?
Answer:
1,200
Step-by-step explanation:
1020 divided by 0.85= 1200
jimmy cn run 3.5 miles in 20 minutes. How far can he run in one hour and ten minutes?
Answer: 12.25miles.
Step-by-step explanation:
This is a simple proportion.
20 miles = 3.5miles
∴ 1 mile = 3.5/20
∴ 1hour 10minutes which is equivalent to 70minutes will be
= (3.5/20 x ⁷⁰/₁ ) miles
= 12.25miles
A flat surface made up of points that extends infinitely
in all directions
Answer: Plane
Step-by-step explanation: A plane is a flat surface that has no thickness.
Think of a plane as a wall or a floor of a room.
Another important characteristic of a plane is that it has no edges.
So it extends forever in all directions.
Enter the value for x that makes the given equation true.
2(-2x - 4) + 6 = 5 – 3(x + 1)
Answer:
Step-by-step explanation:
-4x - 8 + 6 = 5 -3x - 3
-4x - 2 = -3x + 2
-x - 2 = 2
-x = 4
x = -4
For the expression 2(-2x - 4) + 6 = 5 – 3(x + 1) the value of x is -4.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
The given expression is,
2(-2x - 4) + 6 = 5 - 3(x + 1)
To find the value of x, simplify the expression,
-4x - 8 + 6 = 5 - 3x - 3
-4x - 2 = 2 - 3x
-4 = 4x - 3x
x = -4
The required value of x is -4.
To know more about Algebra on:
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On the number line, graph the solution to the inequality -5(x+1) > 7x + 31? Can you tell me how to go about doing this problem I have tried a few methods but can't figure it out.
Answer:
x < -3
Step-by-step explanation:
First we simplify:
-5x - 5 > 7x + 31
-12x > 36
x < -3.
We reverse the sign because we divided by a negative number on both sides.
That should be easy to graph.
a number is picked at random from numbers 1 to 10 what is the probability that the number is a perfect square
Answer:
40%
Step-by-step explanation:
First, we must find out how many perfect squares are between 1 and 10.
1, 2, 4, 9,
Now, we put that quantity over 10.
4 2
-- = --
10 5
Write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7.
Answer:
y = 7x -47Step-by-step explanation:
[tex]m = 7\\(8,9)=(x_1 , y_1)\\\\y-y_1=m(x-x_1)\\\\y - 9=7(x -8)\\y-9=7x-56\\\\Collect\:like\:terms\\\\y = 7x-56+9\\\\y = 7x-47[/tex]
The sum of a number and two equal to negative seven. Translate this sentence to an equation and then find the number
Answer:
-9
Step-by-step explanation:
x+2=-7
x+2-2=-7-2
x=-9
Answer:
-9
Step-by-step explanation:
i took this assignment
The arc length theta shown below is 15 feet
Answer:
Part I: 2πr*X/360
Part II: 2.5 radians
Part III: 143.24°
Step-by-step explanation:
Part II: and Part III: 2π(6)*x/360 = 15, x = 143.24°
143/360 = x/2π, x = 2.5 radians