Which statements are true about the ordered pair (−1, 5) and the system of equations?
Answer:
Option D is correct answer.
Step-by-step explanation:
We are given the system of equations:
[tex]x+y=4\\x-y=-6[/tex]
Solving the system of equations to find values of x and y
Let:
[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]
Adding both equations to find value of x
[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]
So, we get value of x: x=-1
Now, putting value of x: x=-1 into equation 1 to find value of y
[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]
So, we get value of y: y=5
The ordered pair will be: (-1,5)
So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.
Checking:
Put x=-1 and y=5 in equation 1
[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]
Put x=-1 and y=5 in equation 2
[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]
So, both equations are true.
Therefore, Option D is correct answer.
How do I solve this? I’m receiving steps which aren’t clear and I’m getting stuck in them.
solve for -5x < 2 step by step
Answer:
x > -2/5
Step-by-step explanation:
To solve this, you need to divide -5 on both sides to isolate x.
-5x < 2
x > -2/5
Because we divided by a negative number, the sign has to change direction.
-3x + 4 = 6
Find the solutions
Answer:
Use Mathaway and write the equation
Step-by-step explanation:
Answer:
x = -2.3
Step-by-step explanation:
-3x + 4 = 6
Subtract 4 from both sides.
-3x = 2
Divide both sides by -3
x = -2/3
I need help if you can that would be great thank you
Answer:
Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]
Option D is correct answer.
Step-by-step explanation:
We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.
Solving:
[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]
We can write it as:
[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]
Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]
[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]
Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same
[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]
So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]
Option D is correct answer.
Arrange the 9 digits in three arithmetic sums. Using three of the four operations of addition, subtraction, multiplication, or division. Use no signs except the signs using those operations. Here is an example
You must use digits 1 - 9 and only ONCE
3 + 4 = 7
9 - 8 = 1
30 / 6 = 5
The above example is not correct, because it does not contain 2, and three is repeated.
Answer:
i. 5 + 4 = 9
ii. 2 x 3 = 6
iii. 8 - 7 = 1
Step-by-step explanation:
Given: The basic arithmetic operations: addition, subtraction, multiplication or division.
Digits from 1 - 9
Using three arithmetic operations - addition, subtraction, multiplication, and the given digits, the following three expressions can be formed:
i. 5 + 4 = 9
ii. 2 x 3 = 6
iii. 8 - 7 = 1
It can be observed that there is no repetition of digits in the above expressions as required.
Solve for the missing variable
Answer:
4x+4=5x-8
4x-5x+4=-8
4x-5x=-8-4
-x=-8-4
-x=-12
x=12
Step-by-step explanation:
Help me out i need help
Answer:
false, true and false
Step-by-step explanation:
2.) Put these decimals in order from least to greatest:
2.03, 2.30, 32, 302, .032
NEWPA
This is least to greatest. ζόμπα
Answer:
.032 .302 .32 2.03 2.30
Step-by-step explanation:
Molly is currently one third the age of her mother. In 12 years, Molly will be half the age that her mother will be. How old is Molly's mother now?
Answer
Molly's mother is 36 years old now.
Step-by-step explanation:
Answer:
Molly's mother is 36 now.
Step-by-step explanation:
(I could go the algabraic way, but I'd prefer not to. I'd rather guess. )
If Molly would be 24 in 12 years and her mother would be 48 at that time, then Molly is 12 now. Her mother would be 36 now.
Well, that didn't take too long! I hope this helps!
select the equation and the solution for the problem. let ( X ) represent the unknown number. a total of 48people in a sports team are riding 6 vans. how many people are riding in each van is carrying the same number of people.
(A) 48x = 6 ( x = 1/8
(B) 6x = 48 ( x = 8
(C) x + 6 = 48 ( x = 42)
(D) x - 6 = 48 ( x = 54)
Answer:
B
Step-by-step explanation:
Activity 12.1 Tax, Tip, and Discount
What percentage of the car price is the tax?
car price
tax
Answer:
25%
Step-by-step explanation:
(1/4)x100=0.25x100=25, The tax is 25%
In Ms. Price's class, students were asked to name the sport that they watch most often on
television
8 students named baseball,
7 students named football,
5 students named basketball,
What is the ratio of the number of students who watched basketball most often to the total
number of students? *
11 point
Answer:
The ratio of number of students who watched basketball most often to the total number of students is 5 to 20 or 5:20
Step-by-step explanation:
Because 5 students named basketball as the spot the watch most often on television, while 8 of them said baseball and 7 said football. To find the total numbers of students we have to add all the students together so 8 + 7 is 15 and 15 + 5 is 20.
Hoped this help :)
120 kg in the ratio 3:2
Answer:
72:48
Step-by-step explanation:
Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he have left for gift C?
Answer:
$15 1/10
Step-by-step explanation:
Given that :
Total amount to spend = $30
Amount spent on Gift A = $9 1/4
Amount spent on Gift B = $5 4/5
Amount left to spend on gift C ;
$30 - (9 1/4 + 5 4/5)
$30 - (37/4 + 29/5)
$30 - (185 + 116)/20
$30 - 298/20
30/1 - 298/20
$(600 - 298) / 20
$302/20
$15 2/20
= $15 1/10
answers for both boxes please
Lily has a collection of stamps. She wants to find out how many
stamps she has without having to count them. According to a recent
report, a stamp has a mass of approximately 1.32 grams. If the total
weight of Lily's stamp collection is 19.8 grams, about how many
stamps are in Lily's stamp collection?
Answer:
Lily has 15 stamps
Step-by-step explanation:
You would divide 19.8 by 1.32 to get 15.
*Please give Brainliest to the person on top. They said the answer first. :)
Which three lengths could be of the sides of a triangle?
Answer:
B
Step-by-step explanation:
Katherine went to the store to buy some almonds. The price per pound of the almonds is $3 per pound and she has a coupon for $1.50 off the final amount. With the coupon, how much would Katherine have to pay to buy 4 pounds of almonds? Also, write an expression for the cost to buy p pounds of almonds, assuming at least one pound is purchased.
Answer:
$10.50
Step-by-step explanation:
Multiply $3 by 4 since it's 4 pounds nd each pound cost $3. When u do that, u get $12, but u gotta subtract $1.50 off the final cost, which is $10.50.
Ion get the second part.
What decimal is equivalent to 4/15
Answer:
0.2667 is the decimal for this
Answer:
0.2bar6
Step-by-step explanation:
The decimal form of 4/15 is 0.2bar6. Divide the numerator by the denominator. 4/15= 0.2666...= 0.2bar(6) In the United States, the repeating decimal is represented with a bar above the repeating decimal.
Corey thinks that 5 + n means 5 plus a number. Is Corey correct?
Answer:
Yes corey is correct
Step-by-step explanation:
What is 8/9 of 360 degree ?
Answer:
320 degrees.
Step-by-step explanation:
Pls help I will give BRAINLIEST
Answer: M<2=38 m<3=142 m<4=38
Step-by-step explanation:
142+142+38+38=360-Both side
142+38=180- one side
180-142=38
Answers:
angle 2 = 38 degreesangle 3 = 142 degreesangle 4 = 38 degrees========================================================
Explanation:
Angle 1 is given to be 142 degrees. Angle 3 is equal to this measure since vertical angles are congruent. Vertical angles are angles that form when you have an X shape like this. They are opposite angles.
Angles 2 and 4 are the other pair of congruent vertical angles. This means angle 2 = angle 4.
Note how angle 1 and angle 2 form a straight line. These two angles add to 180.
(angle1) + (angle2) = 180
(142) + (angle2) = 180
angle2 = 180-142
angle2 = 38 degrees
angle 4 is also 38 degrees since angles 2 and 4 are a congruent vertical angle pairing.
7th grade work help please
will give brainliest:)
Answer: 67.27
Step-by-step explanation:
7.1 x 7.1 for the square = 50.41
7.1 divided by 2 = 3.55
3.55 x 4.75= 16.86
Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same
Add the 50.41 and the 16.86 and you have your answer!
I WILL GIVE YOU BRAINLY PLSS
What is the solution of x + 6 11
C. x –1
PLSS SHOW YOUR WORK PLSS
Matthew drove 15.5 miles in 0.25 hour. What was Matthew's average speed?
Answer: 62 mph
Step-by-step explanation: We know that Matthew drove 15 1/2 miles in 1/4 of an hour.
Is (-1,2) a solution to the following linear equation:
2x + y = 2
Answer:
No
Step-by-step explanation:
plug in the variables into the equation
(x,y)
(-1,2)
2(-1)+2=2
2*-1=-2
-2+2=0
2 does not equal 0 so therefore no, it is not a solution
I need help plz "I suck at math"
Answer:
Step-by-step explanation:
number 2: the one that says opposite
2. Name two lines in the diagram.
1)JK, LB
2)MA,JD
3)KC, DA
4)MI,EF
Answer:
answer is third option KC,DA
Your fi nancial advisor recommends buying a 10-year bond with a face value of $1,000 and an annual coupon of $80. The current interest rate is 7 percent. What might you expect to pay for the bond (aside from b
Answer:
Bond Price= $1,070.24
Step-by-step explanation:
Giving the following information:
Cupon= $80
Number of periods= 10 years
Face value= $1,000
Interest rate= 7%
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]
Bond Price= 561.89 + 508.35
Bond Price= $1,070.24