Find the solution to the systems of equations using the elimination method. 3x + 5y = 2 5x + 8y = 4
And then solve for y or x by using the elimination method
Answer:
[tex]\boxed{x = 4~~and~~y = -2}[/tex]
Step-by-step explanation:
3x + 5y = 2 (times 5) 15x + 25y = 10
5x + 8y = 4 (times 3) 15x + 24y = 12
.
15x + 25y = 10
15x + 24y = 12
y = -2
.
Substitute the value of y to one of equations
3x + 5y = 2
3x + 5(-2) = 2
3x - 10 = 2
3x = 2 + 10
3x = 12
[tex]x = \frac{12}{3}[/tex]
x = 4
HELP RIGHT AWAY!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
-x +8y = 4
8y = x+4
y = x/8 + 1/2
y= mx +b
where b is the y-intercept
y- intercept is 1/2
x/8 +1/2 = 0
x/8 = -1/2
2x = -1*8
x = -8/2 = -4
x- intercept is -4
II
Cuanto es 16/21 dividido en 8/9???
Answer:
1621 ÷ 89 is 67 67 en una fracción or 0.85714285714 en una decimal
Step-by-step explanation:
Given the equation y=-3x+2.5: When x is 1, what value of y makes the equation true? When x is -1.5, what value of y makes the equation true? When y is 8.5, what value of x makes the equation true?
Step-by-step explanation:
when,X=1
y=-3 *1+2.5
y=-3+2.5
y=0.5
when,X=1.5
y=-3*1.5+2.5
y=-4.5+2.5
y=-2
when,y=8.5
8.5=-3*X+2.5
3*X=2.5-8.5
3*X=-6
X=-6/2
X=-3
Hence, the statements are true:
when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]y=-3x+2.5[/tex]
So,
[tex]y=-3 (1)+2.5\\y=-3+2.5\\y=0.5\\[/tex]
When,
[tex]x=-1.5\\y=-3(1.5)+2.5\\y=-4.5+2.5\\y=-2\\[/tex]
when,
[tex]y=8.5\\8.5=-3x+2.5\\3x=2.5-8.5\\3x=-6\\x=-\frac{6}{2}\\x=-3\\[/tex]
Hence, the statements are true:
when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].
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The width is 5.2 cm and the area is 54.6 cm?
The rectangle is not drawn to the exact measurements.
Answer:
The length is 22.1
Step-by-step explanation:
5.2 + 5.2 + 22.1+ 22.1 = 54.6
Mike hiked to a lake in 4.5 hours at an average rate of 2
1
5
miles per hour. Pedro hiked the same distance at a rate of 2
3
5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.
It took Pedro
hours to reach the lake.
Answer:
It took Pedro 3.81 hours to reach the lake.
Step-by-step explanation:
Time taken by Mike to hike a lake = 4.5 hours
Average rate of Mike while hiking the lake = [tex]2\frac{1}{5}\ miles/hr[/tex]
Formula for distance can be seen as:
[tex]Distance = Speed\times Time[/tex]
Distance traveled by Mike = [tex]4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles[/tex]
Rate of Pedro while hiking the same distance = [tex]2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr[/tex]
Given that, Pedro also travels the same distance.
And we have to find the Time.
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}[/tex]
It took Pedro 3.81 hours to reach the lake.
The acceleration of an object due to gravity is 24 feet per second squared. What is the acceleration due to gravity in inches per second squared?
288 inches per second squared
B
2 inches per second squared
С
72 inches per second squared
D
3,456 inches per second squared
The acceleration due to gravity in inches per second squared is
288 inches / seconds²
Option A is the correct answer.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
1 feet = 12 inches
We have,
The acceleration of an object due to gravity:
= 24 feet / seconds²
Now,
1 feet = 12 inches
24 feet = 288 inches
So,
24 feet / seconds²
= 288 inches / seconds²
Thus,
The acceleration of an object due to gravity is 288 inches / seconds².
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Seven less than the sum of p and t is as much as 6.
P + t -7 =6
10+3-7=6
10+3=13
13-7=6
P=10 t=3
The values of the numbers p and t will be 10 and 3 respectively.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The value of the numbers will be calculated as:-
P + t -7 =6
10+3-7=6
10+3=13
13-7=6
P=10 t=3
Therefore, the values of the numbers p and t will be 10 and 3 respectively.
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Use substitution to solve the system of equations.
x-2y=1
3x-6y=3
What is the total area, in square units, of the four triangular faces of a right, square-based pyramid that has base edges measuring 6 units and lateral edges measuring 5 units
Given :
Square-based pyramid that has base edges measuring 6 units and lateral edges measuring 5 units.
To Find :
The total area, in square units, of the four triangular faces of a right.
Solution :
We know, area of square based prism is given by :
[tex]A = a^2 + \dfrac{ah}{2}[/tex]
Here, a is the length of square base and h is the height .
[tex]A = 6^2 + \dfrac{6\times 5}{2}\\\\A = 51 \ units^2[/tex]
Therefore, total area in square units is 51.
Mrs. Arnold took a survey of the types of pants her students were wearing. She collected the data below. What percent of her students were wearing shorts? Jeans: 14 Shorts: 9 Capris: 2
Answer:
36%
Step-by-step explanation:
Jeans: 14
Shorts: 9
Capris: 2
Total number of students = Number of Jeans + Number of Shorts + Number of Capris
Total number of students = 14 + 9 + 2 = 25
% of students wearing shorts = Number of shorts / Total number of students * 100
% of students wearing shorts = 9 / 25 * 100 = 0.36 * 100 = 36%
Can y’all help me on this please
Answer:
588,499
Step-by-step explanation:
you just divide
x is from a to b translates to a≤x≤b
A. True
B. False
Answer:
True
Step-by-step explanation:
mark brainliest
write an equation in slope-intercepts form for the line that passes through (5, -4) and is perpendicular to the line described by 2x-10y=0
EXPLAIN what you did in each step to arrive at your answer plz
Answer: [tex]y=-5x+21[/tex]
Step-by-step explanation:
In slope intercept form : y=mx+c , m= slope , c= y-intercept.
Let [tex]L_1[/tex] be the line passing through (5, -4) and perpendicular to [tex]L_2: 2x-10y=0[/tex].
Rewrite [tex]L_2[/tex] in slope-intercept form
[tex]10y=2x\Rightarrow\ y=0.2x+0[/tex]
Here, Slope of [tex]L_2[/tex] = m = 0.2
Let n be slope of [tex]L_1[/tex] .
Then [tex]m\times n=-1[/tex] [Product of slopes of perpendicular lines is -1.]
[tex]\Rightarrow\ n=\dfrac{-1}{m}=\dfrac{-1}{0.2}\\\\\Rightarrow\ n=-5[/tex]
Equation of a line that passes through (a,b) and have slope 'm' is given by :-
[tex](y-b)=m(x-a)[/tex]
So, Equation of [tex]L_1[/tex] :
[tex](y-(-4))=-5(x-5)\\\\\Rightarrow\ (y+4)=-5x+25\\\\\Rightarrow\ y=-5x+21[/tex]
HELP PLEASE I AM STRUGGLING!
Answer:
D\
Step-by-step explanation:
Answer: The answer should be D
Step-by-step explanation:
Diego measured the length of a pen to be 22 cm. The actual length of the
pen is 23 cnd which of these is closest to the percent error for Diego's
measurement?
Answer:
95.7 percent accurate
Step-by-step explanation:
Answer:
4.3%
Step-by-step explanation:
Find the probability of drawing two diamonds in a row from a standard deck of 52 cards. After the first card is drawn it is set aside and not returned to the deck.
Answer: 1/17
Step-by-step explanation:
First and foremost, we should note that there are 13 diamonds in a standard deck of 52 cards.
If the first card is drawn, the probability of picking a diamond is 13/52. Since it's not replaced, when another one is picked, the probability that it will be diamond will be 12/51.
We then multiply both together. This will be:
= 13/52 × 12/51
= 1/4 × 4/17
= 1/17
Answer the question ..plzzz.......
And
Marry
X-
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Step-by-step explanation:
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In AABC, BC = 6, CA = 14, and AB = 19. Which statement about the angles of AABC must be true?
Answer:
ca=14
Step-by-step explanation:
A theater has 384 seats. Each row has 16 seats. What is the value of x in the area model?
Answer:
x=4
Step-by-step explanation: 64/16=4
Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of 12, and juice boxes come in a package of 10. What is the fewest number of packages of each product Torrance must purchase so that he has the same number of snack bags and juice boxes? Use paper to show what you know about the least common multiple to support your answer. Enter your answers in the boxes. Torrance must purchase packages of snack bags and packages of juice boxes to have the same number of each
Answer:
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
Step-by-step explanation:
Given that:
Snack bags come in packages of 12.
Juice bags come in packages of 10.
To find:
Fewest number of packages of each product so that there are same number of snack bags and juice boxes.
Solution:
Number of snack bags when 1 package is bought = 12
Number of snack bags when 2 package is bought = 24
Number of snack bags when 3 package is bought = 36
Number of snack bags when 4 package is bought = 48
Number of snack bags when 5 package is bought = 60
Number of snack bags when 6 package is bought = 72
Number of juice bags when 1 package is bought = 10
Number of juice bags when 2 package is bought = 20
Number of juice bags when 3 package is bought = 30
Number of juice bags when 4 package is bought = 40
Number of juice bags when 5 package is bought = 50
Number of juice bags when 6 package is bought = 60
Number of juice bags when 7 package is bought = 70
We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.
This can be found by finding the LCM as well.
LCM of 10 and 12 is 60.
It means we need to buy 60 bags of each item.
And we can easily find the number of packages for each.
Number of packages of snack bags to be bought = [tex]\frac{60}{12} =5[/tex]
Number of packages of juice bags to be bought = [tex]\frac{60}{10} = 6[/tex]
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
Can someone please help? I need by 2:45 PM
Answer:
dilated coordinates are A(-18,-3) and B(-6,-12)
Step-by-step explanation:
distance of new segment is 15 units
distance formula = [tex]\sqrt){y-y_{1})^{2} +( x - x_{1})^{2} }[/tex]
The population of town A increases from 1,346 to 1,500. In the same period, the population of town B increases from 1,546 to 1,800.
a. Find the percent of increase in population for town A and for town B.
b. Which town had the greater percent of increase?
a. you would do 1346/1500 to get 0.8973333333333. i you want to check that you can do 1346/0.8973333333333 and you would get 1500. I'm just going to round 0.8973333333333 down to 0.897. So for town B you would also do 1546/1800 which brings you to 0.858889 you can again do 1546/0.858889 but i found that 0.8588888888 gives you the most accurate answer. so rounding that down to 0.859
b. you can see that 0.897 is a larger percent that 0.859 so town a had a larger increase than b
How do you solve this Matrix equation
x+2x-3z=-2
x-y+z=-1
3x+4y-4z= 4
Answer:
look this up and watch this video
Step-by-step explanation:
The solution of `2x + y + z = 1 , x-2y-3z = 1 , 3x +2y +4z=5` is 1)1,2,3 2) 1,2,-3 3) 1.-3.2 4)...
Select all the situations that can be represented by the tape diagram. 99 W W W W W 4 Clare buys 4 bouquets, each with the same number of flowers. The florist puts an extra flower in each bouquet before she leaves. She leaves with a total of 99 flowers. Andre babysat 5 times this past month and earned the same amount each time. To thank him, the family gave him an extra $4 at the end of the month. Andre earned $99 from babysitting, A family of 5 drove to a concert. They paid $4 for parking, and all of their tickets were the same price. They paid $99 in total. 5 bags of marbles each contain 4 large marbles and the same number of small marbles. Altogether, the bags.contain 99 marbles. Han is baking five batches of muffins. Each batch needs the same amount of sugar in the muffins, and each batch needs four extra teaspoons of sugar for the topping. Han uses 99 total teaspoons of sugar.
Answer:
Third one 33333333333333333
Answer:
2 and 3
Step-by-step explanation:
The equation of the diagram would be 99=5w+4
#2-the number Andre earned for the 5 times babysat, each earning the same, would be represented by the 5w. The extra 4 dollars would be represented by the 4. And the $99 for the total would be represented by the 99.
#3- the cost of the parking would be represented by the 4. The 5 tickets that they paid for would be represented by the 5w. And the 99 would be the total.
Writer the equal ratios 6:8,24:32,3/4:1
Answer:
12:16
48:64
3:4
hep asap! i will mark you brainliest
Answer:
The second box for b will be 7
Step-by-step explanation:
If c = 10 , b = 5
If c = 14 , b = 7
If c = 18 , b = 9
If c = 22 , b = 11
If c = 26 , b = 13
Answer:
7
Step-by-step explanation:
I know
In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.
How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?
A
8 ounces
B
12 ounces
C
12.5 ounces
D
20 ounces
Answer:
12.5
Step-by-step explanation:
for people who don't get another quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.
Ounces of yogurt need for 10 ounces of blueberries is 8 ounce
Given that;Ratio of ounces of blueberries to ounces of yogurt = 4:5
Find:Ounces of yogurt need for 10 ounces of blueberries
Computation:Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]
Ounces of yogurt need for 10 ounces of blueberries = 2[4]
Ounces of yogurt need for 10 ounces of blueberries = 8 ounce
So, Option "A" is the correct answer to the following question.
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Answer Choices
A)neither Anne nor Tim
B)both Anne and Ti
C)only Anne
D)only Tim
WILL MAKE THE BRAINLIEST ANSWER IF RIGHT!!
Answer:
c) only Anne
Step-by-step explanation:
I just did the test. Hope this helps! : )
The circle below represents one whole what percent is represented by the shaded area
it is 25% hehehheheheheh
Answer:
one fourth
Step-by-step explanation:
it is split into fourths. if one is shaded, it is one fourth
