To arrange the six numbers into three pairs so that the sum of each pair is equal, you could create the pairings of 4 and -2, -1 and 5, and 6 and 8. Each of these pairs has a sum of 2, 4, and 14 respectively.
Explanation:The six number cards provided are 4, -2, -1, 5, 6 and 8. The task is to arrange these into three pairs, such that the sum of each pair is equal. Based on these conditions, our possible pairs are:
4 and -2-1 and 56 and 8These pairs are obtained by adding the numbers together. For example, the pair 4 and -2 results in a sum of 2 (4 + -2 = 2). Similarly, -1 and 5 also results in a sum of 4 (-1 + 5 = 4), and 6 and 8 results in a sum of 14 (6 + 8 = 14). Two pairs have the same sum of 4 while one pair has the sum of 14.
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Therefore, the complete question is
Here are six number cards
-4, -2, -1, 5, 6, 8
Arrange the cards into three pairs with the same total.
• Please write each pair on separate lines and use the word 'and' between the numbers (eg. 7 and -3)
Number 14
I need help with this
Simplify the expression. 6k – 1 + 6k
Principle = $15,500 Interest Rate = 8.75% Time = ? Years Simple Interest = $5425.00
Solve for the Time in Years
Round 3,942,588 to the nearest thousand.
Someone PLS HELP <3
Solve the system of equations using the substitution method.
{y=−3x+7
x=−2y−16
Enter your answers in the boxes.
x =
y =
Harry’s pizzeria is having a sale on medium and large pizzas. Medium pizzas are 10 inches in diameter and cost $7.99. Large pizzas are 14 inches in diameter and cost $14.99 Which size pizza is the better deal? Explain
What are the measures of two complementary angles if the difference in their measures is 18?
You are a farmer and want to spend under $35,000 on farm equipment. You need a hay bailer that costs $6,250 and several plowing disks cost $2,500 each. Write an inequality that models how many plowing disks could be purchased within your budget. What is the maximum number of plowing disks you can buy?
Answer:
A) 2,500x + 6,250 < 35,000; 11 plowing disks
Step-by-step explanation:
graphing system y=2x-2 2y=4x- 4
Answer:
These two equations describe the same line.
___
In the graph here, the graph of one equation is shown as a dotted line, not be cause those are the only points on the graph, but because I wanted you to see the other equation describes exactly the same line.
The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg? 30 mm 35 mm 40 mm 47 mm
The legs of a right triangle are 10 cm and 24 cm. What is the length of the hypotenuse?
22 cm 26 cm 30 cm 34 cm
A machinist creates a washer by drilling a hole through the center of a circular piece of metal. If the piece of metal has a radius of x + 7 and the hole has a radius of x + 6, what is the area of the washer?
A small plant is 212 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week? Which method will NOT give the correct number of inches?
Answer:
Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
we know that
using proportion
[tex]\frac{(3/4)}{1}\frac{in}{week}=\frac{x}{3}\frac{in}{weeks} \\ \\x=3*(3/4)\\ \\x=9/4\ in[/tex]
Find the height of the plant in [tex]3[/tex] weeks
[tex]2\frac{1}{2} +\frac{9}{4}=\frac{5}{2} +\frac{9}{4}\\ \\=\frac{19}{4}\ in[/tex]
therefore
The incorrect method is
Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]
because
[tex]2\frac{1}{2}*3+\frac{3}{4}=\frac{15}{2}+\frac{3}{4}\\ \\=\frac{33}{4}\ in[/tex]
shannon uses 30 inches of ribbon to make one bow.how many feet are needed to make 10 bows?
Kade makes 5/6 cup salad dressing. He uses 2/3 cup dressing on a salad. How much salad dressing is left
Kade has 1/6 cup of salad dressing left after using some on a salad. We found this by converting 2/3 cup to 4/6 cup and then subtracting it from the 5/6 cup he initially had.
To find out how much salad dressing Kade has left after using some on a salad, we need to subtract the amount used from the total amount he made. Kade made 5/6 cup of salad dressing and used 2/3 cup on a salad. To perform the subtraction, both fractions need a common denominator. The smallest common denominator for 6 and 3 is 6. The fraction 2/3 can be converted to 4/6 so that both fractions have the same denominator. Now we can subtract:
Convert 2/3 cup to 4/6 cup (Since 3*2 = 6, and 2*2 = 4).Subtract 4/6 cup from 5/6 cup: 5/6 - 4/6 = 1/6 cup.Hence, Kade has 1/6 cup of salad dressing left after using it on the salad.
Chris is making a poster for Bike Safety Week. The diameter of circle A is 14 in.
If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)
Answer:
30.772 in2.
Step-by-step explanation:
First, find the radius of circle A.
* in picture*
Next, use the formula and the radius of circle A to find the area of circle A.
*in picture*
Last, multiply the area of circle A by to find the area of circle B.
*in picture*
Therefore, the area of circle B is 30.772 in2.
A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) cenrimeters which expression represents the perimeter,in centimeters of the triangle
Answer:
Perimeter of given triangle is ( 9.8x + 1.1y + 9.9z ) centimeters.
Step-by-step explanation:
Given : A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) centimeters
We have to find the expression that represents the perimeter (in centimeters)
of the triangle.
Perimeter of a figure is defined as the sum of all the sides.
Since given figure is triangle so perimeter of triangle is the sum of all the sides.
Given side lengths are
(5.5x + 6.2y) , (4.3x + 8.3z) and (1.6z -5.1y)
Thus, perimeter = (5.5x + 6.2y) + (4.3x + 8.3z) + (1.6z - 5.1y)
Perimeter = 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y
LIKE TERMS are term with same variables.
Rearrange, we get
Perimeter = 5.5x + 4.3x + 6.2y - 5.1y + 8.3z + 1.6z
Adding like terms, we get,
Perimeter = (5.5 + 4.3)x + (6.2 - 5.1)y + (8.3 + 1.6)z
Perimeter = (9.8)x + (1.1)y + (9.9)z
Thus, Perimeter of given triangle is 9.8x + 1.1y + 9.9z centimeters.
simplify the expression
(3x^4y^-5)3
To simplify the expression (3x^4y^-5)^3, apply the power rule to each term, calculate the result, and combine them. The simplified form is 27x^12y^-15.
How to Simplify the Expression (3x^4y^-5)^3:
Let's simplify the given expression step by step:
Apply the power rule of exponents to the entire expression. This means raising each term inside the parentheses to the given power:(a^m * b^n)^p = a^(m*p) * b^(n*p)
So, (3x^4y^-5)^3 becomes:
(3^3) * (x^(4*3)) * (y^(-5*3))
Calculate each term separately:3^3 = 27x^(4*3) = x^12y^(-5*3) = y^-15Putting it all together, we get:
27x^12y^-15
Simplified Form:In conclusion, the simplified form of (3x^4y^-5)^3 is 27x^12.y^-15.
Figure 1 is dilated to get Figure 2.
What is the scale factor?
Enter your answer, in simplest form, in the box.
According to the Transitive Property of Congruence: If CD≅EF and EF≅GH, then _____
A. CD≅EF
B. EF≅EF
C. CD≅GH
D. EF≅GH
If you're reading this the answer is C
Answer:
The answer is the option C
CD≅GH
Step-by-step explanation:
we know that
The Transitive Property of Congruence states that
If [tex]a=b[/tex] and [tex]b=c[/tex]
then
[tex]a=c[/tex]
In this problem we have
CD≅EF and EF≅GH
therefore
CD≅GH -------> by Transitive Property of Congruence
What does the y-intercept have to do with the graph?
A square has an area of 49 square inches. Explain how to find the perimeter of the square.
PLEASE HELP ME!!!!!!!!!!! FAST PLEASE ITS URGENT!!!!!!!! WILL GIV BRAINLIEST!!!
The golf scores for the 32 members of the Belmont Country Club were 108, 89, 74, 115, 92, 86, 103, 107, 94, 89, 111, 78, 116, 82, 99, 107, 74, 78, 101, 93, 85, 98, 109, 82, 83, 105, 91, 106, 97, 84, 92, 96. Which histogram correctly shows the frequency distribution of the scores using ten-point intervals?
Histogram options for golf scores: (a) 3,9,8,9,2; (b) 5,7,10,7,4; (c) 4,8,9,8,3; (d) 5,8,9,8,5. Correct choice (d) accurately represents the frequency distribution of scores in ten-point intervals.
To create a histogram with ten-point intervals for the given golf scores, we need to organize the scores into ranges and determine the frequency of scores within each range. Let's examine each option:
a. 70-80: 3 scores, 80-90: 9 scores, 90-100: 8 scores, 100-110: 9 scores, 110-120: 2 scores.
b. 70-80: 5 scores, 80-90: 7 scores, 90-100: 10 scores, 100-110: 7 scores, 110-120: 4 scores.
c. 70-80: 4 scores, 80-90: 8 scores, 90-100: 9 scores, 100-110: 8 scores, 110-120: 3 scores.
d. 70-80: 5 scores, 80-90: 8 scores, 90-100: 9 scores, 100-110: 8 scores, 110-120: 5 scores.
The correct histogram is option (d) with scores in the 70-80, 80-90, 90-100, 100-110, and 110-120 ranges having frequencies of 5, 8, 9, 8, and 5, respectively. This accurately represents the distribution of golf scores in ten-point intervals among the members of the Belmont Country Club.
A business owner purchases supplies for a laundromat and a car wash.
Part A
The owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat. Each case of laundry soap costs $68.45, eash case of fabric softener costs $39.71, and each case of bleach costs $52.25.
Which is the best estimate of the total cast, in dollars, of the laundry items?
The best estimate of the total cast, in dollars, of the laundry items is $885.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, the owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat.
Each case of laundry soap costs $68.45
So, the cost of 6 cases of laundry soap
= 6×68.45
= $410.7
Each case of fabric softener costs $39.71
So, the cost of 8 cases of fabric softener
= 8×39.71
= $317.68
Each case of bleach costs $52.25
So, the cost of 3 cases of bleach for the laundromat
= 3×52.25
= $156.75
Total =410.7+317.68+156.75
= $885.13
≈ $885
Therefore, the best estimate of the total cast, in dollars, of the laundry items is $885.
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for every pound a company spends on advertising it spends £0.64 on its websites. express the amount spent on advertising to the amount on its website it's website as a ratio it's in its simplest form
Solution:
we are given that
For every pound a company spends on advertising it spends £0.64 on its websites.
we have been asked to express the amount spent on advertising to the amount on its website it's website as a ratio it's in its simplest form.
We can find the required ratio as below
[tex]Ratio=\frac{1}{0.64} \\ \\ Ratio=\frac{100}{64} \\ \\ Ratio=\frac{25}{16} \\[/tex]
Hence the required ratio is 25:16.
how can I remember what I learned in school?
Listen, we all feel like we could use a bit of memory training. Let’s start with a small thought experiment. Take a minute to think back to your science classes in high school and see how much you can recall.
Can you explain the elements that make up an atom, or the basic principles of plant biology? How about physics, or simple chemistry? Do facts and procedures come rushing back, or do you remember your teacher’s face, or the way the room smelled after an experiment?
Everyone will have different memories, and they may have very little to do with what you were taught in class. You might not remember anything at all. It’s extraordinary how quickly we manage to forget what we crammed during all those long hours of study. Algebra. Long division. Verbs, adverbs and relative clauses. The causes of World War I. Where did it all go, we muse, years later?
It is extraordinary that so many of the world’s education systems, which are usually based on testing how well a student can recall and apply information, are designed without any real thought of how our memories work. Memory is perhaps the most fundamental factor in how human beings learn. Memory training should inform all aspects of education; instead, it’s an afterthought.
Advances in cognitive science have huge implications for how we learn and remember things. It’s time for policymakers, educators, and anyone who wants to learn something — in other words, all of us — to start listening.
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The graph of the function y = x2 is shown. How will the graph change if the equation is changed to y = 2x2?
A) The parabola will become wider.
B) The parabola will become narrower.
C) The parabola will move up 2 units.
D) The parabola will move down 2 units.
The parabola will become narrower, the correct option is B.
How the graph will change?
For a function f(x), we define a vertical stretch of scale factor k as:
g(x) = k*f(x).
If k > 1, we have a stretch, if 0 < k < 1, we have a contraction.
In this case, we have:
f(x) = x^2g(x) = 2*x^2So we have a vertical stretch of scale factor 2, this means that we are stretching our function vertically, so it will become narrower, meaning that the correct option is B.
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140 fluid ounces increased by 45%
The sum of two numbers is -1. When twice the first number and four times the second number are added, it equals -10. What are the two numbers?
Help me with this one question and think closely it is not 8 or 800 question 36
31000 people attended a ballgames at a stadium that offers two kinds of seats; The day's receipts were $200000. How many people paid $14.00 for reserved seats, and how many paid$5.00 for general admission?
To solve this problem, we can use a system of equations to find the number of people who paid $14 for reserved seats and the number of people who paid $5 for general admission.
Explanation:To solve this problem, we can use a system of equations. Let's say the number of people who paid $14 for reserved seats is 'x', and the number of people who paid $5 for general admission is 'y'.
We know that the total number of people who attended the ballgame is 31,000, so we can write the equation:
x + y = 31,000
We also know that the total receipts from the day were $200,000, so we can write another equation:
14x + 5y = 200,000
Now we can solve this system of equations to find the values of 'x' and 'y'.
Multiplying the first equation by 5, we can eliminate 'y' by subtracting the second equation from it:
5x + 5y = 155,000
-(14x + 5y = 200,000)
Simplifying, we get:
-9x = -45,000
Dividing both sides of the equation by -9, we find that 'x' = 5,000.
Substituting this value back into the first equation, we can solve for 'y':
5,000 + y = 31,000
Simplifying, we get 'y' = 26,000.
Therefore, 5,000 people paid $14 for reserved seats and 26,000 people paid $5 for general admission.