Answer:
x = -9
y = 9
Step-by-step explanation:
If we know that x = -5y + 36
The second line says that
5x + 5y = 0
We can substiute the value of x from the first line into the second line.
So it becomes
5 ( -5y+36) + 5y = 0
Distribute the 5 over the parentheses
-25y + 180 +5y = 0
Then we can add things that are alike; so that means we can add the y values
-20y + 180 = 0
Then add 20y to both sides of the equation
180 = 20y
Then you divide by 20.
You get 9 = y!
Now that you have the value of y, you can put it back into the intial question.
5x+5y = 0
5x + 5(9) = 0
5x + 45 = 0
5x = -45
x = -9
Answer:
x=-9 y=9
Step-by-step explanation:
Substitute x:
5(-5y+36)+5y=0
Use Distributive property
-25y+180+5y=0
Add Like terms
-20y+180=0
Subtract 180 from both sides
-20y=-180
divide -20 from both sides
y=9
Solve for x by substituting the value of y into the equation x= -5y + 36
to get x=-9
Can you get the answer then you win
There were 21 children who were older than 7 years.
What is Histogram?A histogram is a graph that depicts the frequency distribution of a few data points from a single variable. Histograms frequently divide data into "bins" or "range groups" and count the number of data points that belong to each of those bins.
The bar graph graphically represents category data. A histogram is a graph that represents quantitative data. Each pair of consecutive bars is separated by an equal amount of space.
The data from the Histogram can written as
Age group Number of Children
1 - 3 5
3 - 5 3
5 - 7 6
7 - 9 8
9 -11 9
11 - 13 4
So, the number of children who were older than 7 years
= 8 + 9 + 4
= 21 children
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A bag contains 10 red, 20 white, and 30 blue marbles. If one marble is drawn from the bag, what is the probability that the marble is not red?
On a coordinate plane, point A is located at (-5,3). To get to point B from point A, move 5 units to the right and 2 units down .What are the coordinates of point B?
Lines c and d are parallel and m∠8=62∘. Use parallel lines, transversals, and angles to answer the question. What is m∠6?
Answer:
∠ 6 = 62°
Step-by-step explanation:
∠ 6 and ∠ 8 are corresponding angles and are congruent , so
∠ 6 = ∠ 8 = 62°
for the quadratic function f(x)=5x^2-2x+3, find f(x+2), f(x+2)-f(x), and f(x+h)
Answer:
f(x + 2) = 5x² + 18x + 19
f(x + 2) - f(x) = 20x + 16
f(x + h) = 5x² + 10hx + 5h² - 2x - 2h + 3
Step-by-step explanation:
1. f(x + 2)
[tex]f(x)=5x^2-2x+3\\f(x+2)=5(x+2)^2-2(x+2)+3\\f(x+2)=5(x+2)(x+2)-2(x+2)+3\\f(x+2)=5(x^2+4x+4)-2(x+2)+3\\f(x+2)=5x^2+20x+20-2(x+2)+3\\f(x+2)=5x^2+20x+20-2x-4+3\\f(x+2)=5x^2+18x+20-4+3\\f(x+2)=5x^2+18x+19[/tex]
2. f(x + 2) - f(x)
[tex]f(x+2)-f(x)\\(5x^2+18x+19)-(5x^2-2x+3)\\5x^2-5x^2+18x-(-2x)+19-3\\0x^2+18x+2x+16\\20x+16[/tex]
3. f(x + h)
[tex]f(x)=5x^2-2x+3\\f(x+h)=5(x+h)^2-2(x+h)+3\\f(x+h)=5(x+h)(x+h)-2(x+h)+3\\f(x+h)=5(x^2+2hx+h^2)-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2x-2h+3[/tex]
A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. after shuffling the deck, linbo deals the cards to his friends for the game. which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced? (startfraction 13 over 52 endfraction) (startfraction 12 over 52 endfraction) (startfraction 11 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 12 over 51 endfraction) (startfraction 11 over 50 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 51 endfraction) (startfraction 13 over 50 endfraction)
The probability that the first three cards that he deals are all hearts if none of them are replaced will be [tex]\rm P = \frac{13}{52} \times \frac{12}{51} \times\frac{11}{50}[/tex].
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The given data in the problem is ;
Total number of the card in the deck = 52
No of hearts = 13
If one heart is taken out one at a time we will get the probability that the first three cards that he deals are all hearts if none of them are replaced
From the total card one by one the cards is taken out without the replacement;
Without replacement, the card will be reduced by 1Also the heart card will also be decreased by one.
The probability that the first three cards that he deals are all hear will be;
[tex]\rm P = \frac{13}{52} \times \frac{12}{51} \times\frac{11}{50}[/tex]
Hence option B is correct.
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Answer:
B
Step-by-step explanation:
Big daddy
an ice cream shop manager lowered the price for a single scoop of ice cream from 2.50 to 2.00 what is the precent of decrease in the price
HELP PLEASE!!!!!!!!!!!!
You can't, the only factor in both is 1
1(a^4 + 4b^4)
Hope this helps!
for Touya03..............
This is basically how they got the correct answer.
First they used the area formula:
[tex]\pi \times {r}^{2} [/tex]
So for you that would be:
[tex]\pi \times {9.8}^{2} [/tex]
Which equals
301.7
Since there's a hole in the circle we do the area of a square which is base times height.
Which is 3 x 3 = 9 for your problem
Then we subtract
301.7 - 9 = 292.7 !
Which is almost exactly 292.57 since there is a margin
HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
25.6 MB
Step-by-step explanation:
Question: 256 MB file tha'ts been downloaded 16.4%
256 × 16.4% = 256 × 0.164 = 25.584 (using a calculator)25.584 MB is our accurate answerWe need to round to the nearest 10th.5 is where our 10th isto the right is .08.58 rounds UP to .6We go from 25.584 to 25.625.6 MBAnswer:
42.5 MB.
Step-by-step explanation:
Why?
16.4% of 259 = 42.476
(using a calculator)
Therefore, rounding to the nearest tenth, 42.476 (where the second 4 is) making it 42.5 MB. The 7 (in the hundredths place) is greater than 5 or equal to ( [tex]x\geq 5[/tex] ). This causes the tenths place to round up one number. If the number was less than 5, the tenths place would stay at 4.
Making the answer: 42.5 MB
Hope this helps!
The circumference of a circular garden is 62.8 feet. What is the diameter of the garden? Use 3.14 for it and do not round your answer.
Answer:
19.98
Step-by-step explanation:
See attached image to find radius
Diamiter = 2*R
2*9.99=19.98
LOCKS IN 15 MIN! WILL GIVE BRAINLEST! In a right triangle, the side opposite angle θ has a length of 80 inches, the side adjacent to angle θ has a length of 84 inches, and the hypotenuse has a length of 116 inches. What is the value of tan(θ)?
0.724
1.050
0.690
0.952
tan θ = 0.952
tan θ = AC ÷ BC
tan θ = 80 ÷ 84
tan θ = 0.952
☆...hope this helps...☆
The preimeter of a rectangle is 50 inches. The length of the rectangle is 10 inches. Which method can be used to find w, the width of the rectangle?
Answer:
60 inches
Step-by-step explanation:
select the ordered pairs that are solutions to the inequality 2x-37 > 12
Answer:
infinite ANSWERS starting below 23 towards negative side
Step-by-step explanation:
2x>12+37
2x>49
x>24.5
CONCLUSION HAS INFINITE ANSWERS
help me find the total surface area of this shape
Answer: 808.64 m2
Step-by-step explanation:
what is the first step to 11-3x=44 ?
Answer:
Subtract 11 both sides to isolate the variable and it's cooeficient.
Step-by-step explanation:
Given equation:
11 - 3x = 44The main goal to determine the solution of the equation is to isolate the variable that is present in the equation.
(1) Subtract 11 both sides to isolate the variable and it's cooeficient.
(2) Simplify if possible.
(3) Divide the cooeficient (-3) both sides to remove the cooeficient from the variable.
Once the variable has been isolated, the opposite side of the variable will be the solution to the variable.
⇒ 11 - 3x = 44Step-1: Subtract 11 both sides
⇒ 11 - 3x - 11 = 44 - 11⇒ -3x = 44 - 11Step-2: Simplify (if possible)
⇒ -3x = 44 - 11⇒ -3x = 33Step-3: Divide the cooeficient of x (-3) both sides
⇒ -3x = 33⇒ -3x/-3 = 33/-3⇒ x = -11Therefore, the first step in simplifying the expression (11 - 3x = 44) is to subtract 11 both sides to isolate the variable and it's cooeficient. When the expression is simplified, we get the solution x = -11.
**PLS HURRY* and don't give me any links, they DO NOT work.
There are 7.4 billion people in the world. If the whole world were represented by a 30-person class: • 14 people would eat rice as their main food. • 12 people would be under the age of 20. • 5 people would be from Africa. 1. How many people in the class would not eat rice as their main food?
caculate 7.4 ÷ the people in different groups
Solve for the equation x
Answer:
15.4
Step-by-step explanation:
∠RSA =
95`
95-18=
77/5=
15.4
4 x 15.4=
61.6+7=
68.6
What is the probability of choosing 3 or 4?
Answer:
1/2 because there are only 2 choices.
Sketch the graph of the function h(x) = x2 - 10x + 22 on the
coordinate plane below. Circle the zeros and draw a box
around the vertex
you will have to do the Circles. I made the graph and found the
vertex
vertex: (5,-3)
Step-by-step explanation:
Please help : Find the slope
Answer:
Most likely the slope is going to be -2
Answer:
Slope = 7/4
Step-by-step explanation:
Slope:
Choose any two points on the line.
(-1 , -3) x₁ = -1 & y₁ = -3
(3 , 4) x₂ = 3 & y₂ = 4
[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]\sf = \dfrac{4-[-3]}{3-[-1]}\\\\=\dfrac{4+3}{3+1}\\\\=\dfrac{7}{4}[/tex]
Can somebody help me with this problem please
Answer:
$2.10
Step-by-step explanation:
The discount is described as 4/5 of 1.75% of the purchase price.
__
For a purchase price of $150, the discount is ...
discount = (4/5)(1.75%)($150) = $2.10
The discount for using cash is $2.10.
What is the standard deviation of the shoe size data for the math class? 1.5 2.7 3.0 3.8
The standard deviation is the maximum and the minimum variation in the data set from the mean. The value of the standard deviation is 1.5.
What is a standard deviation?The standard deviation is the maximum and the minimum variation in the data set from the mean.
Given that the mean shoe size is 7.5, while the size of shoe for the entire class is only 1 deviation, and the value is 6 and 9. Therefore, the equation of the standard deviation and the mean can be written as,
[tex]\mu -\sigma < x < \mu +\sigma \\6 < x < 9[/tex]
Now, the value of the standard deviation can be written as,
[tex]\mu - \sigma = 6\\\\-\sigma = 6-7.5\\\\-\sigma = -1.5\\\\\sigma = 1.5[/tex]
or the value of the standard deviation can be written as,
[tex]\mu + \sigma = 9\\\\ \sigma = 9-7.5\\\\ \sigma = 1.5[/tex]
Hence, the value of the standard deviation is 1.5.
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PLEASE HELP
Both circles have the same center. The
circumference of the inner circle is
249.944 meters. What is the area of the
shaded region?
Which property of addition is shown below? a bi c di = a c bi di identity property associative property commutative property inverse property
The commutative property of addition is shown here a+bi+c+di = a+c+bi+di which is the correct answer.
What is commutative property?The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the result.
This property applies to multiplication also.
We have the given expression:
a+bi+c+di = a+c+bi+di
We have to identify the property of addition in the above expression.
Since we can say here that (bi+c) is expressed as (c+bi).
The commutative property of addition states that the numbers can be added in any order.
Mathematically, it states that a+b = b+a.
Here, (bi+c) can be replaced by (c+bi), whether 'b' is added to 'ci' or 'ci' is added to 'b', the result is always the same.
Therefore, the commutative property of addition is the correct answer
Learn more about the commutative property;
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Answer:
commutative property
Step-by-step explanation:
edge2020
3
Select all the correct answers.
Which factors compose the least common denominator for this difference?
115
32 + 48 - 12
2:2
45
(x - 6)
(x - 2)
2:
(3 - 4)
(3 + 2)
(5 + 6)
Answer:
The factors that compose the LCF of the difference are :
2x [tex]\huge\checkmark[/tex]
(x - 2) [tex]\huge\checkmark[/tex]
(x + 6) [tex]\huge\checkmark[/tex]
Step-by-step explanation:
x² + 4x - 12 = x² - 2x + 2x + 4x - 12
= x² - 2x + (6x - 12)
= x(x - 2) + 6(x - 2)
= (x - 2)(x + 6)
2x² - 4x = 2x(x - 2)
We get
2x² - 4x = 2x(x - 2)
x² + 4x - 12 = (x - 2)(x + 6)
then
The least common denominator is 2x(x - 2)(x + 6)
Answer:
2nd, 3rd and 6th
Step-by-step explanation:
Factorise the denominators of both fractions
x² + 4x - 12 = (x + 6)(x - 2)
2x² - 4x = 2x(x - 2)
The least common denominator is then
2x(x - 2)(x + 6)
The diameter of a circle is 5 in. Find its area to the nearest hundredth.
Answer:
19.63 in²
Step-by-step explanation:
Given:
[tex]\text{Diameter of circle: 5 inches}[/tex]
Determine the radius of the circle:
The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.
⇒ Diameter/2 = Radius⇒ 5 inches/2 = Radius⇒ 2.5 inches = RadiusDetermining the area of the circle:
The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.
⇒ πr² = Area of circle⇒ π(2.5)² = Area of circleSimplify the square of 2.5:
⇒ π(2.5)(2.5) = Area of circle⇒ 6.25π = Area of circleReplace π with 3.14 (Approx.):
⇒ 6.25(3.14) = Area of circle⇒ 19.625 in² = Area of circleFurthermore, the question said to round to nearest hundredth...
⇒ 19.63 in² = Area of circle
What is the area of the trapezoid
Answer:
153
Step-by-step explanation:
Triange area = 1/2 b*h
= 1/2 (7)*(9)
=31.5 (for 1 triangle)
2(31.5) = 63 (for 2 triangles, left and right)
Rectangle area = b *h
= 10*9
=90
Total = 2 triangles + rectangle
63+90 = 153
Answer: 108
Step-by-step explanation: the formula, 10+7(2)/2 x 9 = 108
What are the multiplicative and additive inverses of 2?
Answer:
Additive inverse is -2
Multiplicative inverse is 1/2
Answer:
2 is an integer then the multiplicative inverse of 2 is \[\dfrac{1}{2}\]. Hence, we obtained the additive inverse of 2 is -2 and the multiplicative inverse of 2 is \[\dfrac{1}{2}\].5 days ago
https://www.vedantu.com › the-sum...
The sum of additive inverse and multiplicative inverse of 2 is ______.(a). \\[\\dfrac{3}{2}\\](b). \\[\\dfrac - Vedantu
The scale of a map is 1:50000. A lake on the map is 6.16cm². find the actual area of the lake in hectares.
Answer:
1.54 [km²].
Step-by-step explanation:
1) the given scale is for linear functions, the given area of the lake is quadratic function. According to this
2) actual area = given area *50000 *50000;
3) the given area=0.000616 [m²],
the actual area=0.000616*50000*50000=1540000 [m²] or 1.54 [km²].