The equation 15x + 8y = 56 can be rewritten in slope-intercept form (y = mx + b) as y = -15/8x + 7, where -15/8 is the slope and 7 is the y-intercept.
Explanation:To convert the equation 15x + 8y = 56 into slope-intercept form (y = mx + b), we want to isolate y. Here are the steps:
Subtract 15x from both sides of the equation, which gives us 8y = -15x + 56.Divide every term by 8 to solve for y. This gives us y = -15/8x + 7.In this equation, -15/8 is the slope, and 7 is the y-intercept. This means the line intersects the y-axis at y = 7, and for every 8 units increase in x, there is a 15 unit decrease in y, as the slope is negative.
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i will give brainliest thanks
Answer: Correct answer is 1st option , 12.3
Step-by-step explanation:
We can find the value of x by calculating the tangent of the angle 39.
We know, that tangent of an angle in a triangle = Perpendicular/Base, corresponding to that angle.
So, tan 39 = 10/x
Again, we know that tan 39 = .81
So, .81 = 10/ x
or, x = 10/.81
or, x = 12.34
So value of x to the nearest tenth = 12.3
Hope thsi helps
Thank you
This is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.
Answer:
Coordinate Plane
Step-by-step explanation:
This is a plane with two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.
Answer with explanation:
≡This plane is Called→ Two Dimensional Coordinate plane or x y plane.And the given statement is true Statement.
The Plane has two axes as a frame of reference. The x-axis is a horizontal line and the y-axis is perpendicular to it (i.e., the y-axis is vertical). The intersection of the two axes is called the origin.
⇒The value of x lies from (-∞,∞) .x∈[-∞,∞]
And ⇒,the value of y lies from (-∞,∞).y∈[-∞,∞]
And the points in this plane is represented in terms of Ordered pairs that is in the form of , (x,y).
→There are four Quadrants , in this plane and description of points is as follows:
In First Quadrant , both ,x and y positive.
In Second Quadrant ,x negative, and y positive.
In Third Quadrant ,x negative and y Negative.
In Fourth Quadrant ,x positive and y Negative.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 ft per second, then its height h after t seconds is given by the equation h(t) = -16t ^2 + 128t. What is the height after 60 seconds?
Answer:
undefined
Step-by-step explanation:
t=60 is outside the domain of the function, which is t ∈ [0, 8].
_____
If you take the function and the time at face value, ...
... h(60) = -49920 . . . feet, more than 9.4 miles below ground level*
___
*The deepest hole ever drilled into the Earth is 40,230 feet deep, so this is almost 2 miles deeper.
Answer:
C) 8 seconds
Step-by-step explanation:
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter. How long is the remaining piece of ribbon?
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter
Lets add all the cut of pieces and subtract it from 2 meters
[tex]\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}[/tex]
Now we subtract 13/10 from 2 meters
[tex]2 - \frac{13}{10}[/tex]
To subtract , make the denominator same
[tex]\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}[/tex]
7/10 meter is the remaining piece of ribbon
After adding the lengths of the ribbon pieces Carrie cut (1.3 meters), the remaining ribbon length is calculated by subtracting this from the original length, leaving Carrie with 0.7 meters of ribbon.
Explanation:Carrie starts with 2 meters of ribbon and cuts off pieces measuring 5/10 meter, 1/10 meter, and 7/10 meter. To find the length of the remaining ribbon, we need to add the lengths of the pieces she has cut and then subtract this total from the original length of the ribbon.
First, we add the lengths of the cut pieces: 5/10 meter + 1/10 meter + 7/10 meter = 13/10 meters or 1.3 meters.Next, we subtract this total from the original 2 meters: 2 meters - 1.3 meters = 0.7 meters.Therefore, the remaining piece of ribbon is 0.7 meters long.
Solve. 4x+5y=40
3x=15
POSSIBLE ANSWERS:
1. x=5, y=−12
2. x=5, y=−4
3. x=5, y=4
4. x=5, y=12
Answer:4(5) + 5(4)=40 ...3(5)=15
So 20+20=40 ...15=15
I Say Answer Is 3. X=5, Y=4
Step-by-step explanation:
Use a double number line to solve. Gabe collects model train and planes. He has 2 trains for every 5 planes. If Gabe has 25 planes, how many trains does he have? [Type your answer as a number.]
Answer:
The answer is 10
Answer:
The answer is 10
Step-by-step explanation:
Which description best defines MN¯¯¯¯¯¯¯ ?
the set of point M, point N, and all the points between point M and point N
the set of all points that are collinear with point M and point N
the set containing point M and point N
the set of all points that are the same distance from point M as point N
the set of point M, point N, and all the points between point M and point N
Step-by-step explanation:We assume you're interested in a description of line segment MN, the portion of the line containing M and N that has endpoints M and N. That description is found in "Answer:" above.
Other choices:
... all collinear points: describes line MN, not segment MN
... point M and point N: describes two points, not a line segment
... points the same distance from each: describes the line that is the perpendicular bisector of segment MN
Answer:
the set of point M, point N, and all the points between point M and point N
Step-by-step explanation:
What would be the answers
Answer:
1/500000000000 is the answer
Just simplify and combine like terms to find your answer. You can add the tens to the -5 power, and the 4 and 2 on the top, then divide by the expression on the bottom.
Therefore, the only expression equivalent to this one is B.
I paid $8.50 each for movie tickets and i spend a total of $144.50. If n, represents how many tickets i bought, write and equation that would allow me to find the number of tickets
Answer:
the Answer would be 17. Hope it helped ; )
Step-by-step explanation:
Evaluate 3x-2 if x=5.
6
17
13
15
Answer:
[tex]13[/tex]
Step-by-step explanation:
The given expression is;
[tex]3x-2[/tex]
We want to evaluate this expression when [tex]x=5[/tex].
This means that, we substitute [tex]5[/tex] wherever we see [tex]x[/tex] in [tex]3x-2[/tex]
The expression will now be
[tex]=3(5)-2[/tex]
This will simplify to be
[tex]=15-2[/tex]
The final result is
[tex]=13[/tex]
The correct answer C.
Answer:
13
Step-by-step explanation:
To solve this problem, we need to use the substitution method - because we are given a value for x and asked to evaluate the expression.
Evaluate 3x - 2; x = 5
1. Substitute 5 in for x in the expression
3(5) - 2
2. Multiply
15 - 2
3. Subtract
13
What is 35.6 × 10−4 in standard form?
[tex]35.6\times10^{-4}=35.6\times0.0001=0.00356[/tex]
[tex]a^{-n}=\dfrac{1}{a^n}\\\\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10000}=0.0001[/tex]
Final answer:
0.00356.
Explanation:
The question requires us to express the product of a decimal number and a power of ten in standard form. To find 35.6 times 10^-4 in standard form, we can use the rule of multiplying a decimal number by a power of ten. Multiplying by 10^-4 means we move the decimal point four places to the left.
So, 35.6 × 10^-4 becomes 0.00356. This is the number 35.6 shifted four decimal places to the left, as the exponent on the ten is negative, indicating division by ten for each unit of the exponent.
What is the area of ACDE?
A.
24 square centimeters
B.
30 square centimeters
C.
60 square centimeters
Reset Next
Answer:
Option B is correct .i.e., 30 square centimeters
Step-by-step explanation:
We have to find area of ACDE.
From given figure ACDE is made up of two triangles ΔBCD & ΔABE
So, Area of ACDE = Area of ΔBCD + Area of ΔABE
Area of traingle = [tex]\frac{1}{2}\times Base\times Height[/tex]
⇒ Area of ACDE = [tex]\frac{1}{2}\times CD\times BF+\frac{1}{2}\times AB\times AE[/tex]
= [tex]\frac{1}{2}\times6\times2+\frac{1}{2}\times4\times12[/tex]
= [tex]6+2\times12[/tex]
= [tex]30\:cm^2[/tex]
Therefore, Option B is correct .i.e., 30 square centimeters
find the value of the following expression. Write your answers without any exponents.
a)7^-2=1/7^2=1/49
b) (8^4)^2/8^11=8^8/8^11=1/8^3=1/512.
To find the value of an expression without exponents, divide numbers and subtract the exponents for division, and when squaring, multiply the number by itself. Any number raised to the power of 2 is squared, and to the power of 3 is cubed.
Explanation:To find the value of an expression without any exponents, you might need to use the rule: to divide two exponential numbers, divide the numbers out front and subtract the exponents. Here's an example:
If we have to find the value of 106 ÷ 103, you'll divide 10 by 10 (which is 1) and subtract the exponents (6 - 3), resulting in 103, which equals to 1000 when you remove the exponent.
In the context of squaring exponents, when you square a number like 52, it means 5 x 5, which equals 25. Squaring is also known as raising to the power of 2. Similar to this, any number raised to the power of 3 is said to be cubed.
These concepts are fundamental when calculating extreme values like $rac{4.81x10^4}{2.05x10^2}$, solving quadratics, and handling scientific notations.
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Jaden made a pot of chili with 48 ounces of ground beef and 2 tablespoons of chili powder. He made another pot of chili with the same amount of ground beef, but he used 3 times as much chili powder. How many pounds of ground beef per tablespoon of chili powder did he use in the second pot of chili
Answer:
So, it is given to us that Jaden has 3 pound of beef in the first pot and 2 table spoons of chili powder.
(16 ounces = 1 pound)
(48 ounces = 3 pounds)
In he second bowl he uses the SAME amount of beef and 3 times as much chili powder.
Which means that he used 3 pounds of beef and 2*3 = 6 table spoons of chili powder in the second cup.
The question is asking you for the ratio between the two quantities in a cryptic manner.
so, it would end up being 3 pounds of beef every 6 table spoons of chili powder, which is nothing but Half (0.5 pounds of beef every tablespoon of chili powder).
1/2 pounds of beef every tablespoon of chili powder.
HOPE THIS HELPS!
Jaden used 0.5 pounds of beef for every tablespoon of chili powder in the second pot of chili when he tripled the amount of chili powder while keeping the amount of beef unchanged.
Explanation:In the first pot of chili, Jaden effectively used 48 ounces of beef per 2 tablespoons of chili powder. This equates to 24 ounces of beef per tablespoon of chili powder. However, when Jaden tripled the amount of chili powder in the second pot, the ratio of beef to chili powder decreased since more chili powder is being used for the same amount of beef. Therefore, since he used three times as much chili powder in the second pot, this resulted in a ratio of 48 ounces of beef per 6 tablespoons of chili powder. That equates to 8 ounces of beef for every tablespoon of chili powder which are used in the second pot. Furthermore, since 1 pound equals 16 ounces, the number of pounds of beef used per tablespoon of chili powder in the second pot is 8/16, or 0.5 pounds.
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Month Money
1 $500
2 $525
3 $551.25
4 $578.81
The table shows the relationship between the amount of money in a bank account at the end of each month. Determine whether it's a growth or decay and whether it grows or decays by a constant percent. A) decays by percent that varies B) decays by a constant percent C) grows by percent that varies D) grows by a constant percent
Answer:
"Grows by a constant percent."
Step-by-step explanation:
5% of 500 is 25 = 525
5% of 525 is 26.25 = 551.25
5% of 551.25 is 27.56 = 578.81
Please leave a thanks. And can I have Brainliest?
The figures shown are similar. What is the scale factor? A. 1/9 B. 3/7 C. 4/7 D. 6/7
Answer:
C. 4/7
Step-by-step explanation:
The scale factor is the ratio of corresponding side lengths (the only ones marked with a length).
... 12/21 = 4·3/(7·3) = 4/7
Write the equation of the line that passes through (2,3) and (4, 1) in point-slope form. Use (2,3) for (x1, y1).
Answer:
y-2 = -(x-2)
Step-by-step explanation:
To find the slope
m = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are two points on the line
= (1-3)/(4-2)
=-2/2
=-1
The point slope form is
y-y1 = m(x-x1) wher m is the slope and (x1,y1) is a point on the line
y-3 = -1(x-2)
y-2 = -(x-2)
the system of equations n=m and n=4m is the point (0,0). which of the following statements is true.
A. (0,0) is a solution to n=m and to n=4m.
B.No point no the line n=m is also on the line n=4m.
C.every solution to n=m is also a solution to n=4m.
D.the graph of the solution is parallel lines.
A. (0,0) is a solution to n=m and to n=4m.
Step-by-step explanation:The equations can be solved by any of the usual means. Using substitution, we have ...
... m = n = 4m
... m(4 -1) = 0 . . . . subtract the left side
... m = 0 . . . . . . . . divide by 3
... n = m = 0
The solution is (m, n) = (0, 0).
Answer:
the answer is A, my answer got deleted
Can someone please help me with this?
P=2l+2w and you're looking for what l is. The answer should be an equation.
Thanks so much!!!
Answer:
l = (P -2w)/2
Step-by-step explanation:
When you're working any "solve for ..." problem, first you look to see where the variable of interest is and what is done to it.
If it is only found on one side of the equation, as here, then you're in luck. If it is only found in one term, as here, you have even better luck.
Identify all the terms on the side of the equation where the variable is located that do not contain the variable. Add their opposite to both sides of the equation. The result will be a term containing the variable, equated to a bunch of other stuff.
... P -2w = 2l . . . . . we added -2w to both sides of the equation
Now, we divide the equation by the coefficient of the variable.
... (P -2w)/2 = (2l)/2
... (P -2w)/2 = l . . . . . . simplify. This is the solution you're looking for
If you like, you can distribute the multiplication by (1/2) to get
... l = P/2 - w
3 1/4 yards is how many inches
Answer: it is 117 inches.
Step-by-step explanation:
1 yard= 36 inches
36 times 3= 108
1/4 of 36= 9
36 divided by 4 is 9 so 1/4 of 36 is 9.
108 + 9= 117
Elissa wants to set up a rectangular dog run in her backyard. She has 32 feet of fencing to work with and wants
to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.
Perhaps jumping up the points will get answers.
A(x) = x(16 -x)
Step-by-step explanation:Area is the product of length and width. If the length is x, then the width will be half of the total perimeter less the two sides of length x, (32-2x)/2 = 16-x.
So, the area is ...
... A = length · width
... A(x) = x(16 -x)
_____
If you like, you can expand this to ...
... A(x) = -x² +16x
The area of a rectangular figure is calculated by multiplying the length and the width of the figure. So, the area as a function of x is: [tex]A(x) = x(16 - x)[/tex]
Given that:
[tex]P = 32[/tex] --- the perimeter of the fence
Represent
[tex]x \to[/tex] length
[tex]y \to[/tex] width
The perimeter of a rectangular fence is calculated as:
[tex]Perimeter = 2 \times (Length + Width)[/tex]
So, we have:
[tex]P= 2 \times (x+ y)[/tex]
[tex]32= 2 \times (x+ y)[/tex]
Divide both sides by 2
[tex]16= x+ y[/tex]
Make y the subject
[tex]y = 16 - x[/tex]
The area (A) of the fence is:
[tex]Area = Length \times Width[/tex]
So, we have:
[tex]A = x \times y[/tex]
Substitute [tex]y = 16 - x[/tex]
[tex]A = x \times (16 - x)[/tex]
[tex]A = x(16 - x)[/tex]
So, the area as a function of x is:
[tex]A(x) = x(16 - x)[/tex]
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Solve for r. -13= r/9 +8
Answer:
r = -189
Step-by-step explanation:
-13 - 8 = r/9
- 21 = r/9
r = 9 * -21
r = -189
Answer:
r = -189
Step-by-step explanation:
-13= r/9 +8
To solve this equation, we will start by subtracting 8 from each side
-13-8 = r/9 +8-8
-21 = r/9
Multiply each side by 9 to isolate r
-21*9 = r
-189 =r
find the value of x. please help
36.6
Step-by-step explanation:The rule for secants is pretty simple. The product of the distance from the external point to the near intersection with the circle and the distance to the far intersection with the circle is a constant.
This means ...
... BC × AC = DC × (DC+x)
... 8 × 26 = 5 × (x +5) . . . . . AC=AB+BC = 18+8 = 26
... 208 = 5x +25 . . . . . . . . . simplify
... 183 = 5x . . . . . . . . . . . . . subtract 25
... 36.6 = x . . . . . . . . . . . . . divide by 5
1. 2 + √c = 27
625
5
841
12.5
5.4
2.
Solve
√x = 3
81
3
1.7
27
9
3. √(x-2) = 4
14
0
18
4
16
4. Solve
1.8
2
21.6
216
18
5. √(2x) = 1
0.5
1.4
0.25
4
2
Get the surd by itself, then square and solve the resulting linear equation.
1. Subtract 2, then square
... √c = 25
... c = 25² = 625
2. √x = 3
... x = 3² = 9
3. √(x-2) = 4
... x -2 = 4²
... x = 16 +2 = 18 . . . . add 2
5. √(2x) = 1
... 2x = 1²
... x = 1/2 . . . . . . . divide by the coefficient of x
a b c or d please hurry thanks!
Answer:
C) a = 10√3, b = 5√3, c = 15 , d = 5
Step-by-step explanation:
Here we use the ratio of 30, 60, 90 degree triangle.
The ratio of sides, 1:√3:2
2x = 10
x = 5
d = 5
b = 5√3
c = 5√3√3
c = 5*3 = 15
c = 15
a = 2(5√3)
a = 10√3
Therefore, a = 10√3, b = 5√3, c = 15 and d = 5
Thank you.
Answer:
The correct answer is C.
Step-by-step explanation:
From the [tex]60\degree[/tex] right angle triangle
[tex]\sin(60\degree)=\frac{b}{10}[/tex]
[tex]10\times \sin(60\degree)=b[/tex]
[tex]10\times \frac{\sqrt{3}}{2}=b[/tex]
[tex]5\sqrt{3}=b[/tex]
From the same [tex]60\degree[/tex] right angle triangle,
[tex]\cos(60\degree)=\frac{d}{10}[/tex]
[tex]10\times \cos(60\degree)=d[/tex]
[tex]10\times \frac{1}{2}=d[/tex]
[tex]5=d[/tex]
From the [tex]30\degree[/tex] right angle triangle
[tex]\sin(30\degree)=\frac{b}{a}[/tex]
[tex]\frac{1}{2}=\frac{5\sqrt{3}}{a}[/tex]
[tex]a=2\times 5\sqrt{3}[/tex]
[tex]a=10\sqrt{3}[/tex]
From the same [tex]30\degree[/tex] right angle triangle,
[tex]\cos(30\degree)=\frac{c}{a}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{c}{10\sqrt{3}}[/tex]
[tex]10\sqrt{3} \times \frac{\sqrt{3}}{2}=c[/tex]
[tex]5 \times 3=c[/tex]
[tex]c=15[/tex]
The correct answer is C.
The expressions are on the picture
A) Is the expression in answer 'A' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
B) Is the expression in answer 'B' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
C) Is the expression in answer 'C' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
D) Is the expression in answer 'D' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
E) Is the expression in answer 'E' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
Joe walked 2/6 of a mile on Monday. On Tuesday he walked another 2/9 of a mile. How far did joe walk on Monday and Tuesday?
Answer: 5/9 of a mile
Step-by-step explanation:
2/6 + 2/9
3/9 + 2/9
5/9
Hayk was walking around the cross-shaped pool with 10m-long sides , while Karlen was swimming in it. During the time Hayk got from point A to point B, Karlen swam diagonally from point B to A and back.
By what percent did the distance covered by Karlen exceed that of Hayk ? (round your answer to the nearest tenth)
Answer:
5,41%
Step-by-step explanation:
Remark
It's hard to interpret what % increase means. I'm going to work first with the actual increase and then I'll give the % increase. The answer I give will likely be in your choices, but it could still be incorrect.
Givens
Walking distance from A to B = 10 units down + 10 units east + 10 units down + 10 units east + 10 units down + 10 units east = 60 units.
Swimming distance = 2*sqrt(10^2 + 30^2) = 63.25 units.
Solution
The difference = 63.25 - 60 = 3.25
The % increase = (3.25/60)*100 = 5.41%
Just number 28 but can you please help
kAITLIN EANRS $6.50 FOR EACH HOUR SHE WORKS. ON FRIDAY SHE WORKED FOR 3 HOURS. SHE ALSO WORKED ON SATURDAY. IF SHE EARNED A TOTAL OF $52.00 FOR TWO DAYS OF WORK, HOW MANY HOURS DID SHE WORK ON SATURDAY
Answer:
5 hours
Explanation:
$
6.50
(
3
)
+
$
6.50
x
=
$
52.00
$
19.50
+
$
6.50
x
=
$
52.00
$
6.50
x
=
$
32.50
x
=
5
Glad i could help! Sorry if i came out kinda weird lol
Answer:
Answer:
5 hours
Explanation:
$
6.50
(
3
)
+
$
6.50
x
=
$
52.00
$
19.50
+
$
6.50
x
=
$
52.00
$
6.50
x
=
$
32.50
x
=
5
Glad i could help! Sorry if i came out kinda weird lol