Answer:
The solution to the system of equation
[tex]y=10,\:x=-5[/tex]
Step-by-step explanation:
Given the system of equation
[tex]\begin{bmatrix}y+3x=-5\\ y-4x=30\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+3x=-5\\ y-4x=30\end{bmatrix}[/tex]
subtracting the equation
[tex]y-4x=30[/tex]
[tex]-[/tex]
[tex]\underline{y+3x=-5}[/tex]
[tex]-7x=35[/tex]
[tex]\begin{bmatrix}y+3x=-5\\ -7x=35\end{bmatrix}[/tex]
solve -7x = 35 for x
[tex]-7x=35[/tex]
divide both sides by -7
[tex]\frac{-7x}{-7}=\frac{35}{-7}[/tex]
[tex]x=-5[/tex]
For y + 3x = -5 plug in x = -5
[tex]y+3\left(-5\right)=-5[/tex]
[tex]y-15=-5[/tex]
Add 15 to both sides
[tex]y-15+15=-5+15[/tex]
Simplify
[tex]y=10[/tex]
Therefore, the solution to the system of equation
[tex]y=10,\:x=-5[/tex]
Will give brainliest if your answer isn't random, i really need help with this
Answer:
Linear, y=6x-21
Step-by-step explanation:
Graph the answer to get an idea of the shape: linear.
Use y=mx+b and m=y2-y1/x2-x1 to find formula
m=y2-y1/x2-x1=3-(-9)/4-2=12/2=6
y=6x+b
9=6(5)+b
9-30=b=-21
y=6x-21
An isosceles triangle has two congruent side lengths of 20 centimeters. The base of the triangle is 10 centimeters. Find the height of the
isosceles triangle
(Use the Pythagorean Theorem & DONT GIVE ME THE ANSWER, I JUST WANT THE EQUATION) Thx :)
Answer:
(half of base)² + (height)² = (20)²
Step-by-step explanation:
In an isosceles triangle, the angle bisector from the 3rd angle to the opposite side is a perpendicular bisector, so you split the isosceles triangle into two congruent right triangles.
This technique of 'splitting the isosceles' is used a LOT.
order each set of integers from least to greatest .
(12,-4,9,-10,-18,15
Answer:
Step-by-step explanation:first it's( -4,9,-10,-18,12,15
hope it helps you welcome
WORTH 15 POINTS:
Karl is replacing his concrete driveway with rectangular pavers. Each paver has an area of 4.5 square feet. Karl's driveway is 21 feet long and 18 feet wide. How many pavers will he need?
Answer:
84
Step-by-step explanation:
To complete the concrete highway with pavers 84 pavers are needed.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
From the given information each Pavel has an area of 4.5 square feet.
And the area of the driveway can be obtained by multiplying the length and width of the driveway which is,
= (21×18) sq feet.
= 378 sq feet.
Therefore, The number of pavers needed is,
= (378/4.5).
= 84 pavers.
learn more about rectangles here :
https://brainly.com/question/29123947
#SPJ3
sharon said she spent 5/7 of her clothing allowance on a winter. if she was givan a $70 clothing allowance, how much was the coat
Answer:
$50
Step-by-step explanation:
1. First you need to divide 70 by 7.
2. Your answer should be 10.
3. You then need to multiply the product, 10 by 5.
4. You answer should be 50 and because we are using this in a money situation the answer is $50.
Answer:
50
Step-by-step explanation:
-33 is greater than x .
Answer:
-33>x
Step-by-step explanation:
20 of the cats at the pet store are white, which is 25% of all of the cats. How many cats are there at the pet store?
Answer:
the
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
25%X4=100%
20X4=80
There are 16 people on the bus. Some adults and some are children. There are more adults than children. Write down different ratios of adults to children that might be on the bus.
Answer:
11 : 59 : 713 : 3Step-by-step explanation:
There are more adults than children so the ratios made have to depict this.
These ratios should add up to 16.
Three different ratios:
11 adults : 5 children
9 adults : 7 children
13 adults : 3 children
The above will all add up to 16 and show more adults than children.
The different ratios of adults to children that might be on the bus is;
14 : 2, 13 : 3, 12 : 4, 11 : 5, 10 : 6, 9 : 7
We are given;
Number of people on the bus = 16The people on the bus consist of adults and children.
We are told that;
There are more adults than children.Thus, the different possibilities for ratio between
adults and children will be 2 numbers that add up to 16 which must not be equal. Thus, we have;
14 : 2
13 : 3
12 : 4
11 : 5
10 : 6
9 : 7
Read more about ratios at; https://brainly.com/question/2784798
What is the simplified base for the function f(x)=2(3square root of 27^2x)?
A. 2
B. 3
C. 9
D. 18
Answer:
D. 18
Step-by-step explanation:
what life was like in the time of
9514 1404 393
Answer:
C. 9
Step-by-step explanation:
Maybe you want to simplify ...
[tex]2\sqrt[3]{27^{2x}} = 2(3^3)^{\frac{2x}{3}}=2(3^{2x})=2(3^2)^x=\boxed{2\cdot 9^x}[/tex]
The base of the simplified function is 9.
If these two shapes are similar, what is the measure of the missing length z?
z = ___ milimeters
Answer:
z = 10 mm
Step-by-step explanation:
[tex]\frac{z}{15} =\frac{40}{60\\}[/tex]
[tex]z * 60 = 40 * 15[/tex]
[tex]60z = 600[/tex]
[tex]z = 10\\[/tex]
Are 25 milligrams lighter or heavier than 25 centigrams
Please help it's for homework and it says explain too so please help
Answer:
25 mg. is lighter than 25 cg.
Step-by-step explanation:
Well,
The prefix "milli" means thousandth and the prefix "centi" means hundredth. So a milligram will be one-tenth of a centigram.
10 mg. = 1 cg.
25 mg. = 2.5 cg.
2.5 cg. < 25 cg.
25 mg. is lighter than 25 cg.
Answer:
25 milligrams are lighter, because 1 milligram equivales to 1 gram multiplied by 100.
Step-by-step explanation:
Help me with number 2
You have $20 and earn $0.75 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j cups of orange juice.
Answer:
A= 20 + 0.75*j
Step-by-step explanation:
Giving the following information:
You have $20 and earn $0.75 for each cup of orange juice you sell.
To calculate the total amount of dollars (A), we need to use the following formula:
A= 20 + 0.75*j
j= number of cups
For example, for 15 cups:
A= 20 + 0.75*15
A= $31.25
A tetrahedron is a polyhedron consisting of four equilateral triangles.
Answer:
the second one
Step-by-step explanation:
because if you think it how it folds the second one doesnt form a tetrahedron.You can try it by drawing it in a letter then cutting it to see which forms a shape and which doesnt.
please help quickly. thanks in advance
Answer:
a. sin 30* = sin 150*
b. sin 1* = sin 179*
a. cos 340* = cos 20*
b. cos 260* = cos 100*
Step-by-step explanation:
sine is symmetrical around x = 90*
cosine is symmetrical around x = 180*
* means degree sign of course.
please, i need help with the spider in the box question
Answer:
AB=5.39 cm
BC=5 cm
CD=5.83 cm
DE=3.91 cm
A to E=20.13 cm
Step-by-step explanation:
DE^2=2.5^2+3^2
DE^2=6.25+9
DE^2=15.25
DE=3.91
CD^2=3^2+5^2
CD^2=9+25
CD^2=34
CD= 5.83
BC^2=4^2+3^2
BC^2=16+9
BC^2=25
BC=5
AB^2=5^2+2^2
AB^2=25+4
AB^2=29
AB=5.39
5.39+5+5.83+3.91=20.13
Find the slope: (-2,5) and (2,1
The number of red marbles in a jar is 3
times the number of blue marbles.
There are 27
red marbles and b
blue marbles. Write an equation to represent this situation. How many blue marbles are there?
Answer:
Bx3=27 there are 9 blue marbles
Step-by-step explanation:
a rectangular field has as dimensions 49 m and 36 m calculate the length of the side of square having the same area as the fieldI want the solution
Answer:
length =25m
breadth =16m
area of rectangle =25*16
according to question
area of rectangle =Area of Square
Area of squre =400m
Side *Side =400m
(Side)=(20m)
Side =20m
Help me it is an hw I will give you a brill and thanks and rate pleaseeeeeeeee
Answer:
Check image below. :)
Answer:
Fractions- 1/4, 1/10
Decimal- 0.5, 0.2
Percentage- 33.3%, 12.5%
Step-by-step explanation:
100/25 = 4, 100/10 = 10
1/2 = 0.5, 1/5 = 0.2
0.333x100 = 33.3, 0.125x100= 12.5
Add a grocery store bananas cost $.90 each and oranges cost $.80 each Ava has $15 to spend if Ava wants to buy an equal amount of bananas and oranges at most how many of each can't you buy
Answer:
9
Step-by-step explanation:
We are given that
Cost of each banana=$0.90
Cost of each orange=$0.80
Ava have total money=$15
We have to find the number of each if Ava wants to buy an equal amount of bananas and oranges at most.
Let x be the number of each.
According to question
[tex]0.9x+0.8x=15[/tex]
[tex]1.7x=15[/tex]
[tex]x=\frac{15}{1.7}[/tex]
[tex]x=8.8\approx 9[/tex]
[tex]x=9(approximately)[/tex]
Hence, number of banana bought=9
Number of oranges bought=9
OK, so, How to stop procrastinating and get work done????
x = 3y + 4
x = 5y - 8
pls hurry
Answer:
{x,y} = {-2, -2}
Step-by-step explanation:
A teacher asks each student in the class to randomly choose a number between 1 and 80 and write it down. Devon and Michiko write down a number. What is the probability that both of their choices will be greater than 60? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.063
0.06
0.938
0.25
Answer:
0.063
is the correct answer
Answer:
0.063
Step-by-step explanation:
Look I got the Drip
Question: If the temperature was -16 degrees and then rose 12 degrees, what is the temperature?
Answer:
الحقيقة لن تكون جيدة جدًا
3. It took Juan 48 minutes to drive 12 miles. Calculate his speed in miles per hour.
Solve for c.
40 + 2 < 10
A
AL
s
Answer:
c < 2
Step-by-step explanation:
We have an inequality and are asked to solve for the variable "c."
4c + 2 < 10
To solve for c, we need to get it by itself, isolate it in every way possible.
4c + 2 < 10
Subtract 2 from both sides :
4c < 8
Now before we move on, take this into consideration, sometimes the inequality sign can be switched but under one condition. And that is when you divide both sides by a negative, since we are not dividing by a negative, no switch of the sign is needed.
Divide 4 from both sides to get c alone :
c < 2
HELP ME FIND THE MEASURES OF THESE ANGLES PLEASE!!!!!!!!!!!!!!!!!!!!!
1: 121, 2: 59, 3: 59
This is for the first graph because if you look at the bottom half of a circle is 180 so since one is 121 you just have to subtract 121 from 180 and you have your answer
Samantha used four balls of yarn to knit a doll blanket. Now she wants to knit a similar blanket that is three times as long and three times as wide. How many balls of yarn will she need to complete the larger blanket?
Answer:
36
Step-by-step explanation:
She kniited a blanket with a certain area with 4 balls.
The new blanket will 3x3 =9 times as much area, so 9 x4 = 36 balls of yarn
Simplify: (5+√−9)(−9+√−196)
Answer:
-1809 + 899i or
-1809 + √-899
Step-by-step explanation:
foil method
i² = -1