Answer:
y = (-2/3)x + 490
Step-by-step explanation:
Our given equation is 2x + 3y = 1,470.
First subtract 2x from both sides of the equation:
3y = 1470 - 2x
Next divide both sides by 3:
y = 490 - (2/3)x
Move the terms on the right to fit the slope-intercept form (y = mx + b):
y = (-2/3)x + 490
Answer:
2x + 3y = 1470
=> 3y = 1470 -2x
=> y = 1470/3 - 2/3x
=> y = -2/3x + 490
First, I made the 3y alone by subtracting 2x to both sides.
Next, I divided 3 from both sides to make y alone.
Lastly, I got the slope-intercept form.
Slope = the number with which "x" is multiplied.
So, In this equation slope = -2/3
Y-intercept can be found my making the x as 0
=> y = -2/3(0) + 490
=> y = 490
So, the y-intercept is (0,490)
X-Intercept can be found by making y as 0
=> 0 = -2/3x + 490
=> -490 = -2/3x
=> -490 * 3 = -2x
=> -1470 = -2x
=> -1470/2 = -x
=> -735 = -x
=> x = 735
So, x-intercept = (735,0)
Area of composite shapes
Answer:
26cm²
Step-by-step explanation:
Parallelogram: 4x5=20
Triangle: 1/2(3)(4)=6
Total = 20+6=26cm²
find
[tex] \frac{dy}{dx \: } of \: \frac{x {}^{2} }{a {}^{2} } + \frac{y {}^{2} }{b { }^{2} } = 1 \\ \\ if \: x = a \cos( \alpha \:) \: and \: \: y \: = b \sin( \alpha ) [/tex]
pls help me
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
A 15 foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the wall. How high up the wall is the ladder? Round to the nearest tenth if necessary.
Answer:
13.26
Step-by-step explanation:
The computation of the height should be computed by using the Pythagoras theorem
As we know that
Hypothenuse^2 = base^2 + height^2
where,
Hypothenuse is 15 foot
And, the foot of the ladder i.e base is 7
So now placing these values
The height is
15^2 = 7^2 + height^2
225= 49 + height^2
After solving this, the height is 13.26
A cosmetics company tested a new lotion. Of the 2,500 people tested, 15 had an allergic reaction. What percent of the people tested did not have an allergic reaction to the new lotion?
Answer:
99.4%
Step-by-step explanation: 2500 - 15 = 2485
2485/2500 = 0.994 x 100 = 99.4%
Answer:
99.4%
Step-by-step explanation:
Total number of people tested = 2500
People who had allergic reaction = 15
People who didn't have allergic reaction = 2500 - 15 = 2485
Percentage = Part of a whole / The whole
=> 2485 / 2500
=> 497 / 500
=> .994
To convert a decimal into percent:
=> We need to make the decimal point move 2 times to the right
=> .994
=> 99.4%
So, 99.4% of the people who were tested, didn't have an allergic reaction.
In a pyramid, the area of the base, A, is measured by the formula A=3v/h, where V= volume and h=height. Solve the formula for h
-16 + 12 ? can somebody help pleaseeeeeeeeee !
Answer:
-4
Step-by-step explanation: I think of this by turning it to a subtraction problem. 16-12=4. But you still do have to add the negitive symbol
Answer:
-4
Step-by-step explanation:
its easier to think of it as 16-12 then if the negative number is greater than the positive add a negativ esymbol.
Hoped i explained that good enough.
Two fair dice are tossed together once. Find the probability that the sum of the outcome is at least 10
Answer: p = 1/6.
Step-by-step explanation:
First, we have two fair dice, so we have two events.
The number of outcomes for each dice is 6, then the total number of outcomes for the two dice is equal to the product of the number of outcomes in each event.
C = 6*6 = 36.
Now, the combinations that have a sum larger than 10 are:
4 and 6.
6 and 4
5 and 5
5 and 6
6 and 5
6 and 6.
So we have 6 outcomes where the sum of both numbers is larger than 10.
Now, the probability will be equal to the quotient between the number of outcomes where the sum is larger or equal than 10, and the total number of outcomes:
P = 6/36 = 1/6.
Find the value of x. A. 40 B. 15 C. 28 D. 20
Answer:
x = 15
Step-by-step explanation:
Angle Formed by Two Secants = 1/2(DIFFERENCE of Intercepted Arcs)
2x +15 = 1/2 (10x+20 - 80)
Multiply by 2
4x+30 = (10x+20 - 80)
Combine like terms
4x+30 = 10x-60
Subtract 4x from each side
30 = 6x-60
Add 60 to each side
90 =6x
Divide by 6
15 =x
Answer:
B.) 15
Step-by-step explanation:
I got it correct on founders edtell
The cost to download music from an Internet site is shown.
According to the information in the table, which equation describes the relationship between the number of songs downloaded and the cost to download?
A. c = 1.5n
B. c = 1.5n + 25
C. c = 7.75n
D. c = 7.75n + 25
Answer:
Option (B)
Step-by-step explanation:
If we graph the points given in the table, a straight line is obtained which shows that the table given represents a linear function.
Let the two points on the graph are (4, 31) and (8, 37)
Slope of the line passing through these points,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{37-31}{8-4}[/tex]
= 1.5
Equation of the line passing through a point (4, 31) and slope = 1.5 will be,
y - y' = m(x - x')
y - 31 = 1.5(x - 4)
y = 1.5x - 6 + 31
y = 1.5x + 25
Therefore, Option (B) will be the answer.
In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, Measure of angle G = 80 degrees, and Measure of angle H = 55 degrees. If Triangle A B C is congruent to triangle G H F, which statement is true?
Answer:
AB = 10.6 cm
Step-by-step explanation:
In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?
A. AB = 12.3 cm
B. AB = 10.6 cm
C. M angle C=55 degrees
D. M angle C=80 degrees
Answer:
If triangle ABC ≅ GHF, This means triangle ABC is congruent to triangle GHF.
Two triangles are congruent if the three sides and three angle of one triangle is equal to the three sides and three angle of the other triangle.
Hence the corresponding sides and angles of triangle FGH is equal to the corresponding side and angle of triangle ABC.
AB = GH
AB = 10.6 cm
m∠F + m∠G + m∠H = 180° (sum of angles in a triangle)
m∠F + 80 + 55 = 180
m∠F + 135 = 180
m∠F = 180 - 135 = 45
m∠F = 45°
m∠F = m∠C
m∠C = 45°
Answer:
its B
Step-by-step explanation:
how do you find the area of a square or rectangle, i need an example to go with it too
help...* * +++:)> ......
Answer:
Hey there!
7(3x-1)-(x+5)=-52
21x-7-x-5=-52
20x-12=-52
20x=-40
x=-2
10 subtracted from the sum of a triple number and 12
Answer:
(3x+12)-10
Step-by-step explanation:
Determine whether the following sequence is arithmetic, geometric, or neither. 1, 4, 9, 16,
Answer:
neither
Step-by-step explanation:
The blue and orange lines represent a system. Use the sliders to manipulate the orange line to determine which equations would create a system that has no solution. Check all that apply. Hint: Convert to slope-intercept form.
Answer:
The answer is "Option A, D, and E".
Step-by-step explanation:
The choices were missing in the question. so, very first, we defined the choices and then we explain why it will be correct.
Missing data:
[tex]A) \ 2x+y=-5 \\B) \ y-3=2x \\C) \ x+y=-2 \\D) \ -2x=y \\E) \ 2x=4-y\\[/tex]
Solve the above value in the form of "[tex]\bold{ y = mx + c}[/tex]", where m= gradient and c= line that cuts on the y-axis.
[tex]A) 2x + y = -5\\\\D) -2x = y\\\\E) 2x = 4- y\\\\[/tex]
Answer:
A,D,E
Step-by-step explanation:
does this table show y as a function of x ?
: (-3,1) (0,-5) (4,7) (-3,0)
Answer:
No.
Step-by-step explanation:
The definition of a function is that every output (x) has only one input (y).
Here -3 gives two different outputs which contradicts the definition of a function.
12-(4) - 1
2
Please helppp!!! :)
Answer:
17
Step-by-step explanation:
Simplify:
[tex]12\frac{1}{2} = \frac{25}{2}[/tex]
[tex]-4\frac{1}{2} = \frac{-9}{2}[/tex]
[tex]\frac{25}{2} - (\frac{-9}{2} ) = \frac{25}{2} + \frac{9}{2} = \frac{34}{2} = 17[/tex]
When you have a subtraction sign next to a negative number, the negative number will turn positive since it's understood as -1 multiplied by the number when it's a negative number.
simplify: 3x+8 -5x +10
Answer:
-2x +18 or 18 - 2x
Step-by-step explanation:
You have 3x and you have -5x so take 5 away from 3 to get -2x
Then you have +8 and +10 so add them together and you get an answer of 18
Put the two answers from the equation together and you have got 18-2x
Hope this helps :)
Start by changing the problem to 3x + 8 + -5x + 10.
Combine like terms → your numbers and your "x" terms.
So 3x + -5x is -2x and 8 + 10 is 18.
So the answer is -2x + 18.
13. Distributive Property
3(x - 1) = 3x - ?
Answer:
[tex]\huge\boxed{3x-3}[/tex]
Step-by-step explanation:
[tex]3(x-1)=\\\\\text{Distribute: }\left \{ {{3*x=3x} \atop {3*-1=-3}} \right.\\\\3(x-1)=\boxed{3x-3}[/tex]
The distributive property is a very important property used in algebra.
It states that when we have the statement a(b + c), we can "distribute" the
a by multiplying a times both terms that are inside the parenthses.
So that would give us a(b) + b(c) or ab + bc.
The same process is done here.
Distribute the 3 through both terms to get 3(x) - 3(1) or 3x - 3.
Please help!! due very soon
Answer:
x=12°, ∡B=48°
Step-by-step explanation:
∡A=∡B
5x-12=2x+24
5x-2x=24+12
3x=36
x=12°
∡B=2*12+24°=48°
mark the wheat and rice product in areas in the map of India
PLS MAKE AND SHOW ON THE MAP
I will definitely mark you brainliest
Answer:
uttar pradesh
Step-by-step explanation:
see map
Answer:
S.No. State/ UT Wheat (Th. tonnes)
1 Uttar Pradesh 26,874
2 Madhya Pradesh 17,689
3 Punjab 16,081
4 Haryana 11,352
5 Rajasthan 9,871
6 Bihar 4,753
7 Gujarat 2,484
8 West Bengal 960
9 Uttarakhand 761
10 Maharashtra 758
Step-by-step explanation:
Refer this link for map!
HOPE IT HELPS AND THANK ME BY MARKING AS BRAINLIEST!
Is 6837 cm less than, greater than or equal to 68hm
Answer:
6837 cm is less than 68 hm
Step-by-step explanation:
1 hectometres = 100 meters
1 centimetres = 0.01 meters
Therefore;
6837 centimetres = 6837 × 0.01 meters = 68.37 meter
6837 centimetres = 68.37 meter
Also, we have;
68 hectometres = 68 × 100 meters = 6800 meters
68 hectometres = 6800 meters
Therefore,
6837 centimetres = 68.37 meter < 68 hectometres = 6800 meters
6837 centimetres < 68 hectometres
6837 cm < 68 hm
6837 cm is less than 68 hm.
Jeremy spends 44 minutes eating dinner with his family. Jeremy finishes eating dinner at 6:09. What time did the clock show when Jeremy started eating dinner?
Answer:
5:25
Step-by-step explanation:
Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.
6:09 is the same as 5:69.
6:09 = 5:69
Now subtract 44 minutes from 69 minutes.
5:69 = 0:44 = 5:25
Answer: 5:25
Answer:
5:25
Step-by-step explanation:
Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.
6:09 is the same as 5:69.
6:09 = 5:69
Now subtract 44 minutes from 69 minutes.
5:69 = 0:44 = 5:25
Answer: 5:25
find the distance between (-3,-5) (4,8)
Answer:
14.765 units
Step-by-step explanation:
distance formula
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(4 + 3)² + (8 + 5)²]
d = √(7²) + (13²)
d = √(49 + 169)
d = √218
d = 14.765
7. Which of the following statements is NOT true? a. All integers are rational numbers. b. Some rational numbers are whole numbers. c. All whole numbers are natural numbers. d. All irrational numbers are real numbers.
Here, a,c and d are not true because,
a) all integers are not rational numbers because 2/10 is a rational number but not an integer.
c) all whole numbers are not natural numbers because 0 is not a natural number.
d) all irrational numbers are not real numbers because root2 is not a real number.
b) it is true.
Hope it was helpful,
pls mark this as a brainliest answer.
thank you.
^_^
Statements (1), (3), and (4) are correct these are NOT true after using the definition of the numbers.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
As we know,
The integer can be defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.
It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
Thus, statements (1), (3), and (4) are correct these are NOT true after using the definition of the numbers.
Learn more about the number here:
brainly.com/question/17429689
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what is 1 5/8 in decimal form?
Answer:
1.625
Step-by-step explanation:
So you have to convert the 5/8ths into something that can go into 10.
So 100/8 is equivalent to 12.5. But you'll have to make that into decimal form, so move that 2 places to the right, to get 0.125. 0.125 times 5 is 0.625. And 1 is just 1 as a whole number. 1 plus 0.625 is 1.625.
The decimal form of the given number [tex]1\frac{5}{8}[/tex] is 1.625
What is the decimal form of a number?In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Given is a fractional number [tex]1\frac{5}{8}[/tex], we need to find the decimal form of it,
Converting [tex]1\frac{5}{8}[/tex] into fraction,
[tex]1\frac{5}{8}[/tex] = 13/8
When we divide 13 by 8, we will get 1.625
Hence, the decimal form of the [tex]1\frac{5}{8}[/tex] is 1.625
Learn more about decimal form, click;
https://brainly.com/question/20130583
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If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term? A) 12 B) 2 C) -35 D) 35
Answer:
B) 2
Step-by-step explanation:
a3 = 7 , d = -5 (GIVEN)
a4 = a3 + d
= 7 + (-5)
= 7 - 5
a4 = 2
HOPE IT HELPS (✷‿✷)
Answer:
[tex]\Huge \boxed{a_4=2}[/tex]
Step-by-step explanation:
The third term in an arithmetic sequence is 7.
The common difference is -5.
The common difference of an arithmetic sequence is found by subtracting a term in the sequence with the previous term.
[tex]d=a_4-a_3[/tex]
Solving for the fourth term.
[tex]a_4 = a_3 + d[/tex]
Plugging in the values and evaluating.
[tex]a_4=7+-5[/tex]
[tex]a_4=2[/tex]
The value of the fourth term is 2.
Can someone help pleassssssseeeeee!!!!!!!!!????????? ILL MARK BRAINLIEST!!!!
Answer:
[tex]b-17[/tex]
Step-by-step explanation:
So, Tanvi started with b buttons.
And she gave away 17.
Since she "gave away," this means that we should use subtraction.
Therefore, she now has b-17 buttons.
Our expression is:
[tex]b-17[/tex]
James truck shows that his average gas mileage per day is 29 miles per gallon of gas. If james drives about 87 miles each day about how much gas does he use in 14 days of driving
Answer: 42 gallons
Step-by-step explanation:
given data:
average gas mileage/day = 29miles/gallon
distance travelled each day by James = 87miles
How much gas does he use in 14days drive.
solution:
james drives 87miles daily, so in 14 days he would have travelled
= 87miles * 14
= 1218miles travelled.
gas used in 14days
1218miles distance traveled in 14 days
29miles/gallon
= 1218miles / 29miles
= 42gallons of gas have been used by janew to fuel his truck in 14days.
Miltiply and simplify (6x - 1)(2x +3)
Answer:
[tex]\Huge \boxed{12x^2 +16x-3}[/tex]
Step-by-step explanation:
[tex](6x - 1)(2x +3)[/tex]
Expand brackets using the FOIL method.
[tex]6x(2x +3)-1(2x+3)[/tex]
[tex]12x^2 +18x-2x-3[/tex]
Combine like terms.
[tex]12x^2 +16x-3[/tex]
Answer: 12[tex]x^{2}[/tex] +16x -3
Step-by-step explanation:
Multiply the numbers by applying the distributive property twice.
2x(6x -1) = 12x^2 - 2x
3( 6x -1) = 18x - 3
Now put them together.
12[tex]x^{2}[/tex]- 2x + 18x -3 Combine likes terms
12[tex]x^{2}[/tex] +16x - 3