Answer:
x = 1 and y = 1
Step-by-step explanation:
Let's solve your system by substitution.
4x + 5y = 9 ; 4x − 2y = 2
- Solve 4x + 5y = 9 for x:
4x + 5y = 9
4x + 5y + − 5y = 9 + − 5y (Add -5y to both sides)
4x = − 5y + 9
[tex]\frac{4}{x} = \frac{- 5y + 9}{4}[/tex]
[tex]x = \frac{- 5}{4} y + \frac{9}{4}[/tex]
Then Substitute [tex]\frac{- 5}{4} y + \frac{9}{4}[/tex] for x in 4x - 2y = 2
4x − 2y = 2
4([tex]\frac{- 5}{4} y + \frac{9}{4}[/tex]) − 2y = 2
− 7y + 9 = 2 (Simplify both sides of the equation)
− 7y + 9 + − 9 = 2 + − 9 (Add -9 to both sides)
− 7y = − 7
[tex]\frac{- 7y}{- 7} = \frac{- 7}{- 7}[/tex] (Divide both sides by -7)
y = 1
Substitute 1 for y in x = [tex]\frac{- 5}{4} y + \frac{9}{4}[/tex]
[tex]x = \frac{- 5}{4} y + \frac{9}{4}[/tex]
[tex]x = \frac{- 5}{4} (1) + \frac{9}{4}[/tex]
x = 1
So, x = 1 and y = 1
PLEASE HELP ASAP!! PLEASE
Answer:
21 km
Step-by-step explanation:
I am not too sure if i did answer that correctly but the distance should not change even if it is in different directions
What value of m makes the triangles similar? A)6 B)9 C)1.5 D)5
Answer:
6
Step-by-step explanation:
2x2=4
3x2=6
:D
Answer:
6
Step-by-step explanation:
small triangle is 2 and 3
big triangle is 4 and m
2 times 2 is 4
3 times 2 is 6
Sorry if this is wrong...
The measures of angles A and B are equal and complementary. What is the measure Of each angle?
Answer:
45
Step-by-step explanation:
if they're both the same number and complimentary (adding up to 90) it'd be 90/2, which is 45.
The measure of each angle is 45 degrees.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If two angles are complementary, it means that they add up to 90 degrees.
Let the measure of angle A be x degrees.
Then, the measure of angle B is also x degrees since they are equal.
Now,
Angle A + Angle B
= x + x
= 2x
The sum of the two angles is equal to 90 degrees.
So,
Angle A + Angle B = 90
Substituting this into the previous equation,
2x = 90
Dividing both sides by 2.
x = 45
Therefore,
The measure of each angle is 45 degrees.
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What number should go in the box? 343834=300000+▢+3000+800+30+4
Answer:
40 000
Step-by-step explanation:
Find out what the numbers in the equation add up to excluding the box.
343834 - 300000 - 3000 - 800 - 30 - 4 = 40 000
Answer:
40000
Step-by-step explanation:
300000+3000+800+30+4 = 303834
So,
343834-303834 = 40000
Ans = 40000
What is the opposite of 23? :) help
Anwser: -23
Step-by-step explanation:
I knew that because i just did negative and positive numbers on a number line
find the 9th term for 150,60,24
Answer:
a(9) = 150*(0.4)^8 = 0.098304
Step-by-step explanation:
This is a geometric sequence, because each new term is 0.4 times the previous term.
The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1). Here, with a(1) = 150 and r = 0.4, we have:
a(n) = 150*(0.4)^(n - 1), and so
a(9) = 150*(0.4)^8 = 0.098304
There are 10 chocolates in a box.
7 of the chocolates have soft centres and 3 of the chocolates have hard centres. Kyla takes at random a chocolate from the box and eats it.
She then takes at random another chocolate from the box and eats it.
The probability of getting chocolates with harder center is 7/15.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Given that, there are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers.
Probability of choosing first chocolate with hard center is
Total number of outcomes =10
Number of favorable outcomes =7
Now, probability is 7/10
Probability of choosing second chocolate with hard center is
Total number of outcomes =9
Number of favorable outcomes =6
Now, probability is 6/9
Probability of an event = 7/10 × 6/9
= 7/10 × 2/3
= 7/5 × 1/3
= 7/15
Therefore, the probability of getting chocolates with harder center is 7/15.
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"Your question is incomplete, probably the complete question/missing part is:"
There are 10 chocolates in a box. 7 of the chocolates have soft centers and 3 of the chocolates have hard centers. Kyla takes at random a chocolate from the box and eats it. She then takes at random another chocolate from the box and eats it. Find the probability that Kyla chooses both the chocolates with a hard center.
Please please please help me!!! I need this really fast and quick. Will give brainliest to whoever can answer quickly please
which of the following are a solution to be inequality?
select all that apply
v is less then or equal to 7
v=7
v=5
v=9
v=12
HELP
33
-
88
in simplest form
Answer:
55
Step-by-step explanation:
33-88 =
-55
Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels. She wants to know how many tablespoons of kernels to use to make 6 cups of popcorn
Answer:
about 4
Step-by-step explanation:
just guessed
The number of tablespoons of kernels to use to make 6 cups of popcorn will be 4 tablespoons. Option B is correct.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels.
Convert the mixed fraction into a fraction number. Then we have
2 1/4 = 9/4
1 1/2 = 3/2
The ratio of cups of popcorn and tablespoons of kernels will be constant.
The number of tablespoons of kernels to use to make 6 cups of popcorn will be given as,
K / 6 = (3/2) / (9/4)
K = 4 tablespoons
The number of tablespoons of kernels to use to make 6 cups of popcorn will be 4 tablespoons. Option B is correct.
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Name BOTH pairs of alternate interior angles. HELPPPPP PLEASE!!!!!!
Answer:
Angles 6 and 2
Step-by-step explanation:
They are in the "interior" of the figure, plus, ik how to do this
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
Answer:
a) The perimeter of the rectangle =
= 22 units
b) The area of the rectangle
= 30 square units
Step-by-step explanation:
We solve the above question using the formula
= √(x2 - x1)² + (y2 - y1)²
When we are given vertices (x1, y1) and (x2, y2)
The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
We have to find the length of the sides
Side A
(-1, -2), (-6, -2)
= √(-6 - (-1))² +( -2 -(-2))²
= √-5² + 0²
= √25
= 5 units
Side B
(-6, -2), (-6, -8)
= √(-6 - (-6))² + (-8 - (-2))²
= √(-6 +6)² + (-8 +2)²
= √0² + -6²
= √36
= 6 units
Side C
(-6, -8), (-1, -8)
= √(-1 - (-6))² +(-8 - (-8))²
= √(-1 + 6)² + (-8 + 8)²
=√ 5² + 0²
= √25
= 5 units
Side D
(-1, -2), (-1, -8)
= √(-1 -(-1))² + (-8 - (-2))²
= √(-1 + 1)² + ( -8 + 2)²
= √0 + -6²
= √0 + 36
= √36
= 6 units
From the above calculation,
Side A = Side C = 5 units
Side B = Side D = 6 units
Hence, this polygon is a quadrilateral called the RECTANGLE.
Therefore:
a) The perimeter of the rectangle =
2L + 2W
= 2(5) + 2(6)
= 10 units + 12 units
= 22 units
b) The area of the rectangle
= Length × Width
= 5 units × 6 units
= 30 square units
Find the area of triangle STU
Help me
Answer:
12cm cubed
Step-by-step explanation:
A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point so just plug those in the formula hopefully its correct
Step-by-step explanation:
The height is 5
and the base is 7
area of triangle = bxh
= 7 x 5
= 35 cm2
what is the sum of the measures of the interior angles of a hexagon
Answer:
Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.
Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve. Based on the riddle, which statements must be true? Check all that apply. Less than means subtraction. Subtract 15 from the unknown number to get 12. 15 minus 12 = 3 The unknown number is 27. 15 + 3 = 18 27 minus 12 = 15 This is an addition problem.
Answer:
The answer is abde
Step-by-step explanation:
i got it wrong but when i looked that was the answer
Answer:
Abde
Step-by-step explanation:
Cuz u are very kewl
A new bank customer with $4,500 wants to open a money market account. The bank is offering a
simple interest rate of 1.9%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Ans
Step-by-step explanation:]\
To use the simple interest formula, I = Prt, we substitute in the values for ... The money you put in the bank is called the principal, P, and the bank pays ... of t years at an annual interest rate r, the amount of interest, I, earned is ... Nathaly deposited $12,500 in her bank account where it will earn 4% interes
A geologist has ten rock samples in a bag and is going to use eight for class. What is the probability that the first three pulled out will be hematite, bauxite, and coal in that order, assuming all three are among the rock samples?
Answer:
1/56 chance
Step-by-step explanation:
3/8 x 2/7 x 1/6 = 1/56
The probability of getting a tail from an unfair coin is 3/5 what is the probability of getting a head?
In AEFG, the measure of ZG=90', the measure of ZE=51°, and FG = 5.2 feet. Find
the length of EF to the nearest tenth of a foot.
Answer: 6.7 feet
Step-by-step explanation: sin 51= 5.2/x
xsin51= 5.2
xsin 51/sin 51 = 5.2/sin 51
x= 5.2/sin 51 =6.6911≈ 6.7 feet
original price is $150 markdown is 30% what is the retail price
Answer:
$105
Step-by-step explanation:
0.30×150=45
150-45=105
Please help me with this please!
Enter the actual height of the tree.
Everything in a store is on sale for 25% off.
The normal price of a babkpack is $40.
What is the sale price of the backpack?
Pls help I don’t understand
Help this is geometry! Help me please!
To find the quotient of 8 ÷ 1/3 multiply 8 by (a 1/8 (b 1/3 (c 3 (d 8
Answer:
C
Step-by-step explanation:
To divide by fractions, we must multiply by the reciprocal of the fraction itself. 8 times 3/1 or just 8 times 3 is the answer
The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree
The answer is D. 115°
Answer:
The answer is also 115 on USA test prep.
can someone answer these question
Answer:
y=5
Step-by-step explanation:
Given x=1, the equation would come to be y = 5^1, or y equals 5 to the first power. You'll need to focus on the 5^1, 5 to the first power is 5, that's your answer.
How to solve (x+1)/3 =(2(x-2))/5 .
Answer:
3x + 3 = (2x - 4)/5
3x + 3 = 10x - 20
13x - 17
Step-by-step explanation:
Answer: X = 17
Explaination:
ILL MARK BRAINLIEST
Give the most descriptive name for the figure.
a. Square
b. Rectangle
c. Parallelogram
d. Rhombus
Answer:
b. Rectangle
Step-by-step explanation:
This figure is a rectangle. A rectangle has four right angled corners and two sets of equal sides.
Solve the equation.
-3x + 1 + 10x = x + 4
X = 1/2
X=5/6
X=12
X=18
Answer:
x = 1/2
Step-by-step explanation:
mark brainliest