for each equation, find the ordered pair whose x-coordinate is -4.
1. y=18-5x 2. 2x + 3y=4 3. -7 + 6y=10
To find the ordered pairs with an x-coordinate of -4 for the given equations, substitute -4 for x in the first two equations and solve for y. The resulting ordered pairs are (-4, 38) and (-4, 4). The third equation does not contain x, so no ordered pair can be found for it.
Explanation:To find the ordered pair whose x-coordinate is -4 for each given equation, we will substitute x with -4 and solve for y.
Equation 1: y = 18 - 5x
Substitute x with -4:
y = 18 - 5(-4) = 18 + 20 = 38
The ordered pair is (-4, 38).
Equation 2: 2x + 3y = 4
Substitute x with -4:
2(-4) + 3y = 4
-8 + 3y = 4
3y = 4 + 8
3y = 12
y = 12 / 3
y = 4
The ordered pair is (-4, 4).
Equation 3: -7 + 6y = 10
This equation does not contain x, therefore we cannot find an ordered pair with x-coordinate -4.
The ordered pairs with an x-coordinate of -4 for each equation are: (-4, 38) for y=18-5x, (-4, 4) for 2x+3y=4, and there is no ordered pair possible for -7+6y=10, as the equation does not contain an x-variable.
Explanation:To find the ordered pair whose x-coordinate is -4 for each given equation, we substitute x with -4 and solve for y:
For y = 18 - 5x, when x = -4:
y = 18 - 5(-4)
y = 18 + 20
y = 38
The ordered pair is (-4, 38).
For 2x + 3y = 4, when x = -4:
2(-4) + 3y = 4
-8 + 3y = 4
3y = 4 + 8
3y = 12
y = 12 / 3
y = 4
The ordered pair is (-4, 4).
For -7 + 6y = 10, we do not need to substitute x here because it is not present in the equation and no x-coordinate is needed to solve for y. This equation can be solved directly for y by isolating it:
-7 + 6y = 10
6y = 10 + 7
6y = 17
y = 17 / 6
y ≈ 2.83
The value of y is approximately 2.83, but since no x-coordinate is provided we cannot create an ordered pair.
In the last election, candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive?
A square pond is to be built in a park. The pond is 50 meters long and 50 meters wide. There should be a tile sidewalk 5 meters wide all around the pond. The tile is sold in crates of 45 square meters of tile. What will the tile cost if the cost of each box of tile is $74?
area of the pond is 50*50 = 2500 square meters
the walkway is 5 meters wide so the outside dimensions would be 60 meters by 60 meters
area of that is 60 *60 = 3600 meters
area of walkway is 3600 - 2500 = 1100 square feet
number of crates needed: 1100 / 45 = 24.44, round up to 25 crates
25 crates x $74 each = $1,850 total
A box contains 10 cups of pancake mix. You use 2/3 cup each time you make pancakes. How many times can you make pancakes?
Which expression represents the distance between −14.6 and −5.2 on the number line?
Drag and drop the correct expression
For this case we have that the distance between the points will be given by the absolute value of the difference of both:
[tex]d = | -14.6 - (- 5.2) | = | -14.6 + 5.2 | = | -9.4 | = 9.4[/tex]
This is equivalent to:
[tex]d = | -5.2 - (- 14.6) | = | -5.2 + 14.6 | = | 9.4 | = 9.4[/tex]
Asnwer:
[tex]| -14.6 - (- 5.2) | = | -5.2 - (- 14.6) | = 9.4[/tex]
Do you simplify first or after you divide a fraction to a decimal
Please help what is the area of a square that is 12.4 cm on each side
What is true about triangle LMN? Check all that apply.
Triangle is defined as the joining of three non-collinear points. The triangles based on their properties can be isosceles, scalene, equilateral, and right-angled triangles.
In the given image, the correct statements for the triangle LMN are:
A. LM ⊥ MN
D. The triangle is isosceles.
E. The triangle is a right-angled triangle.
In the given image, a right-angled triangle can be an isosceles triangle, which has its two sides equal. The right-angled triangle is defined as the triangle having one of the angles at 90-degrees.
In the given image, LM is perpendicular to the MN.
Also, the triangle is isosceles, such that LM and MN are equal because the angles MLN and LNM will be 45-degrees.
Thus, the triangle is isosceles.
The triangle is right-angled because the line segment LM is perpendicular to the MN.
Therefore, triangle LMN is an isosceles and right-angled triangle.
To know more about triangles, refer to the following link:
https://brainly.com/question/15312999
The triangle is a right triangle.
Explanation of properties of triangle LMN including perpendicular segments, scalene triangle, and being a right triangle.
LM ⊥ MN: This statement indicates that segment LM is perpendicular to segment MN in triangle LMN.
The triangle is scalene: A scalene triangle has all sides of different lengths, indicating that the triangle is not equilateral or isosceles.
The triangle is a right triangle: Since LM is perpendicular to MN, this implies the triangle is a right triangle.
Complete question-
What is true about triangle LMN? Check all that apply.
LM ⊥ MN.
The triangle is scalene.
The triangle is equilateral.
The triangle is isosceles.
The triangle is a right triangle.
How much cake will each person get if 3 people share 1 2 of a cake equally?
A) 1 6 B) 1 3 C) 2 3 D) 3 4
write 47/21 as a decimal rounded to the nearest tenth
47/21 can be written as decimal rounded to the nearest tenth as 2.2.
What is Decimals numbers?Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.
Decimal number system describes the base 10 number system.
The given number is 47/21
This is in the fractional form.
We have to make it in the decimal form.
The actual quotient got when we divide 47 by 21 is,
47/21 = 2.238095
But we need it in the rounded form which is rounded to the nearest tenth.
The tenth place value digit is 2.
The next digit is 3 which is less than 5.
So rounded to the nearest tenth is 2.2.
Hence 47/21 can be written as decimal rounded to the nearest tenth as 2.2.
Learn more about Decimals here :
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#SPJ2
Shirley has to travel 1600 meters to get to school. How many dekameters does she have to travel?
Jenny is in charge of ordering T-shirts for the math club at her school. If she paid $252 for 21 T-shirts, which of the following statements is true?
A. Jenny paid $252 for 21 T-shirts, which is a rate of $21 per T-shirt.
B. Jenny paid $252 for 21 T-shirts, which is a rate of $231 per T-shirt.
C. Jenny paid $252 for 21 T-shirts, which is a rate of $33 per T-shirt.
D. Jenny paid $252 for 21 T-shirts, which is a rate of $12 per T-shirt.
Write 2 addition word problems using 3-digit numbers and solve them using any strategy
a babysitter earns $9 for 1 h and $36 for 4 h
solve math problem number 2
-3y -7 = 2
A store manager realizes that he has too many jeans in stock. After he finished taking inventory, he has a total of 688 jeans. He decides to reduce the stock by having a buy one get one free sale. That means that every purchase will reduce this inventory by 2 pairs of jeans.
The expression below describes this situation.
688−2x
In this expression, what does the term 2x represent?
A. the number of jeans purchased
B. the total amount of jeans in stock
C. the number of jeans the stock is reduced by from each sale
D. the number of jeans sold with each purchase
Answer:
Option C)
Step-by-step explanation:
We are given the following information in the question:
Number of jeans in inventory = 688
The store manager decides to reduce the the stock by giving a buy one get one free scheme. That means that every purchase will reduce this inventory by 2 pairs of jeans.
This can be represented with the help of equation:
[tex]688 - 2x[/tex]
where x is the number of jeans purchased.
In the above expression the term 2x is the total number of jeans sold, where x is the number of jeans sold. Due to buy one one free offer the jeans reduced from the inventory are double the jeans sold.
Thus, 2x in the equation means that every purchase will reduce the inventory by 2 pairs of jeans where x is the number of purchases.
Jacob is making spaghetti for the Anderson family reunion. He will use 14 boxes of spaghetti, with a total weight of 168 ounces. What is the rate of boxes of spaghetti to number of ounces?
Step-by-step explanation:
There are 14 boxes to 168 ounces.
Answer:
There are 14
✔ boxes to 168 ounces
Step-by-step explanation:
Solve for x. The triangles in each pair are similar. Triangle CBA is similar to Triangle VUT.
HOW DO WE TURN DECIMALS INTO FRACTIONS EVERYONE ID GIVING ME THE WRONG ANSWER
3 Questions!! Please help with all!!!
1. Which of the following is a solution of 12 x - 7 > 6?
2. True or False?
In the set of real numbers, the first number less than -3 is -4.
3. The difference between a number and seven is less than or equal to -3.
Find the possible numbers.
n ≤ -10
n ≥ -10
n ≤ 4
n ≥ 4
Answer: I took this test awhile back; Hope this helps! Please mark Brainliest! :)
Step-by-step explanation:
1. Which of the following is a solution of 12 x - 7 > 6?
2
0
1
-1
=2
2. True or False?
In the set of real numbers, the first number less than -3 is -4.
False
3. The difference between a number and seven is less than or equal to -3.
Find the possible numbers.
n ≤ 4
n-7≤-3
n-7+7≤(-3+7=4)
n-7≤4
n-7 is no more than 4.
The monthly finance charge on a charge account is 1.5% on the unpaid amount up to $500, and 1% on the unpaid amount over $500. What is the charge on an unpaid amount of $750?
Answer:10
Step-by-step explanation:
You earned $43.70. You would like to buy some new T-shirts. Estimate the number of T-shirts you can buy if each one costs $5.45. 9 T-shirts 10 T-shirts 8 T-shirts 7 T-shirts
The marker cost 1/3 as much as the pen.the pen cost 1/3 as much as the book.the book cost 1/3 as much as the game.the price of the marker is what fraction of the price of the game??
How is the slope formula related to the definition of slope
find the lateral area of the pyramid to the nearest whole number.
How can you check the answer when a division problem has a remainder
12 to the sixth power times 12 to the eighth power
if 4 cans of tomato sauce cost $2, what is the unit price for 1 can of tomato sauce? show your work.
Multiply two and four-fifths negative five and two-thirds .
negative ten and eight-fifteenths
negative fifteen and thirteen-fifteenths
ten and eight-fifteenths
fifteen and thirteen-fifteenths
2 4/5 times - 5 2/3 =
14/5 * -17/3 = -238/15 = -15 13/15
Answer is B
find x from the triangle
the 3 angles need to equal 180 degrees
so x = 180 - 74 - 52
x = 54 degrees