Given that point J is at -2 and the distance between J and K is 4, the possible coordinates for K are -6 (if you count 4 steps to the left) or 2 (if counted to the right on the number line).
Explanation:The given information tells us that point J has a coordinate of -2 and the distance JK equals 4. In a number line, distances can be counted to the left (negative direction) or to the right (positive direction). Therefore, point J will be 4 points to the left or right of, which means the coordinates for K could be -2-4 = -6 or -2+4 = 2.
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How to solve a system of equations using elimination
To solve a system of equations by addition, also called elimination, the goal is to cancel out one of the variables by adding the equations together. However, in some cases, you will need to multiply one or both of the equations by a number in order to create a scenario where one of the variables will cancel out when the equations are added together. As long as you cancel a variable out, you will be able to add the equations together and solve for the variable. If you find one variable, you can find the other one easily.
80 X 5,000
( blank tens) X (blank thousands) = 40 thousands, thousanths, tens, tenths, hundreds, hundrenths, or ones?
Also 80 x 5,000
If you roll two fair dice (one black die and one white die), in how many ways can you obtain a sum of at most 11?
The required numbers of combination that given sum 11 are 2.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
here,
roll two fair dice (one black die and one white die),
Total number of combination between the two is given as,
= 6 × 6 = 36
The combination that has sum equal to 11 are (5, 6) and (6, 5)
Thus, the required number of combination that given sum 11 are 2.
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The difference between twice a number and 11 is -23
The junior class has $350. The juniors want to raise at least $698 by having each member of the class pay dues. There are 116 juniors.
Which of the following inequalities could be used to find how much each junior would need to pay in dues?
A. $350 + 116x < $698
B. $350 + 116x ≤ $698
C. $350 + 116x > $698
D. $350 + 116x ≥ $698
The answer is to your question is letter D
Please answer A,B,and C if possible
What is the score if total question is 85 and correct is 68?
help plz thx verry much
there are 16 more sophomore than jumoors in an 8 am algebra class.if there are 58 students in the class,find the number of sophomores and the number of juniors in the class
Brainliest for first answer
597 = 500 + 90 + 7
x 3= x 3
1791 = 1500 + 270 + 21
A 1-ounce serving of cream cheese contains 7.3 grams of saturated fat. How much saturated is in 11 ounces of cream cheese
You miss 3 out of 10 questions on a science quiz and 4 out of 15 questions on a math quiz. Which quiz has a higher percent of correct anwsers?
The quiz with a miss of 3 questions out of 15 has the higher percentage.
As mentioned in the question,
You miss 3 out of 10 questions on a science quiz and 4 out of 15 questions on a math quiz.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
Percentage of correct answer in 1st quiz = 100% - 3/10 × 100% = 70%
Percentage of correct answer in 2nd quiz = 100% - 4/15 × 100% = 77%
The percentage of 2nd quiz is greater than 1st quiz.
Thus, the quiz with a miss of 3 questions out of 15 has the higher percentage.
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Is -b always, never, or sometimes a positive number?
*urgent!*
Your skateboard ramp is 2⅜ feet high. Your friend's skateboard ramp is 2²/5 high. Which skateboard ramp is higher?
12.33 to the nearest tenth
Divide.
−2 4/7
Enter your answer as a mixed number, in simplified form, in the box.
Which of the following best describes the algebraic expression 5(x+2) -3
Answer:
Step-by-step explanation:
given that,
Algebraic expression 5(x+2) -3
the best way to describe the number is that :-
The number is three less than the five times of the quantity of the number plus two.
when you see the quantity it refers to 'x+2'.
this is , the most appropriate representation of the algebraic expression.
What is the perimeter of triangle PQR? Show your work.
Answer:
PQR= 17 ft
Step-by-step explanation:
1. PQ ≅ ST = 4 ft (Given)
2. ∠PQR ≅ ∠STU (Given)
3. QR ≅ TU = 6 ft (Given)
Which makes the two triangles congruent by SAS postulate.
Now, from CPCTE, PR = SU
3y-2=y+4
Solve for y and simplify
Subtract Y from both sides.
Add 2 to both sides
3y-y=4+2
Add
2y=6
Divide both sides by 2
Y=3
Now, side PR is given by plugging in 3 for Y. PR = 3(3) - 2 = 9 - 2 = 7 ft. The perimeter of a triangle PQR is the sum of all of its sides. Perimeter = PQ + QR + PR = (4 + 6 + 7) ft = 17 ft. The perimeter of triangle PQR is 17 ft.
Which transformation rule maps triangle ABC onto triangle DEF ?
(x−7, y+3)
(x+3, y−7)
(x+7, y−3)
(x−3, y+7)
Answer: The correct option is (C) (x+7, y−3) .
Step-by-step explanation: We are given to select the correct transformation rule that maps triangle ABC onto triangle DEF.
From the graph, we note that
the co-ordinates of the vertices of triangle ABC are A(-8, 6), B(-3, 6) and C(-7, 4).
And, the co-ordinates of the vertices of triangle DEF are D(-1, 3), E(4, 3) and F(0, 1).
The transformations from the vertices of triangle ABC to the vertices of triangle DEF are
A(-8, 6) → D(-1, 3) = D(-8+7, 6-3),
B(-3, 6) → E(4, 3) = E(-3+7, 6-3)
and
C(-7, 4) → F(0, 1) = F(-7+7, 4-3).
Therefore, the required transformation rule is given by
(x, y) → (x+7, y-3).
Thus, (C) is the correct option.
-0.4n is less than or equal to 6.8
One section of wood is 3 5/8 meters long. Another section is twice that long . when the two pieces are put together, how long is the piece of wood that is created?
The value of y is twice the value of x, decreased by one. Find y.
help I will fail math class please help doors for the small cabinets are 11.5 inches long . doors for the large cabinet are 2.3 time as long as the door for a small cabinet . how many larger door can be cut for a board that is 10 1/2 feet long
Solve for the variable in the following proportion. 1/4 is to 1 1/4 as 2 is to b b = 1
the answer is 10 i just did this one!!!!!!!!
Answer:
B = 10
Step-by-step explanation:
Hope this is right! ^_^
Karla has spent $48 on food. she bought milk cheese and meat. the milk cost half as much as the cheese and the meat cost half as much as the cheese. which equation would help you find the cost of the cheese?
1. An enclosed wooden crate is 4 feet tall, 8 feet long, and 6 feet wide. What is the total area of the top, bottom, front, back, and the left and right sides of the crate?
The total area of the top, bottom, front, back, and both sides of the crate is 208 square feet. This is calculated by finding the area of each pair of identical surfaces and summing these areas.
Explanation:To calculate the total area of the top, bottom, front, back, and the left and right sides of a crate that is 4 feet tall, 8 feet long, and 6 feet wide, we need to find the area of each of these surfaces and sum them up. There are three pairs of identical surfaces on a rectangular crate.
The top and bottom surfaces each have an area of 8 feet (length) × 6 feet (width) = 48 square feet. So, for both the top and bottom together, the area is 48 square feet × 2 = 96 square feet.The front and back surfaces each have an area of 8 feet (length) × 4 feet (height) = 32 square feet. Therefore, the total area for both the front and back is 32 square feet × 2 = 64 square feet.The left and right sides each have an area of 6 feet (width) × 4 feet (height) = 24 square feet. So, the total area for both sides comes to 24 square feet × 2 = 48 square feet.To find the total area of all these surfaces combined, we add these amounts together: 96 square feet + 64 square feet + 48 square feet = 208 square feet.
A group of people goes to the theater. If each ticket costs $6.50,is $50 a reasonable estimate for the cost of 5 tickets? Explain
Eliza and Jamie are making cupcakes for a bake sale at school. Eliza needs 2one third c of flour for her recipe and Jamie needs 1three-fourths c for her recipe. They have 4 c of flour. Do they have enough flour for both recipes? Explain.
HELP!!!
Answer:
Givens:
They have 4c of flour.Eliza needs 2 1/3 c of flour.Jaime needs 1 3/4 c of flour.To know if the have enough flour, we just need to sum both amounts, but before that, we need to transform all mixed numbers into fractions
[tex]2\frac{1}{3}= \frac{7}{3}[/tex]
[tex]1\frac{3}{4}=\frac{7}{4}[/tex]
Now, we sum
[tex]\frac{7}{3}+\frac{7}{4}=\frac{28+21}{12}=\frac{49}{12}\approx 4.08[/tex]
Therefore, the just have enough flour to do their recipes, because they need 4.08 c of flour approximately, and they have 4 c of flour.
Final answer:
Eliza and Jamie do not have enough flour for both of their recipes for a school bake sale. After adding the required amounts, they are short by 1/12 cup since they need 4 1/12 cups and have only 4 cups of flour.
Explanation:
Eliza needs 2 1/3 cups of flour for her recipe and Jamie needs 1 3/4 cups for hers. To determine if they have enough flour, we must add these two amounts together:
Convert 2 1/3 to an improper fraction: 2 1/3 = (2 × 3) + 1 = 6 + 1 = 7/3 cupsConvert 1 3/4 to an improper fraction: 1 3/4 = (1 × 4) + 3 = 4 + 3 = 7/4 cupsAdd the two amounts of flour: 7/3 c + 7/4 c = (7 × 4) + (7 × 3) / (3 × 4) = 28/12 + 21/12 = 49/12 cupsConvert 49/12 cups to cups: 49/12 = 4 with a remainder of 1/12, which means they need 4 1/12 cups of flour in total.Since they have exactly 4 cups of flour, Eliza and Jamie do not have enough flour; they are short by 1/12 cup for both recipes combined.
When considering the total amount of flour needed for a recipe, it's important to make sure the sum does not exceed the available amount. In Eliza and Jamie's case, they will need to acquire more flour to meet the requirements of both their recipes for the bake sale.
The perimeter of an isosceles triangle is 23 cm. The base is 4 cm less than one of the equal sides. Find the length of each side.
How many times does 7 go into 19