The number z and −1.9 are additive inverses.
Drag and drop −1.9 and z to their correct positions on the number line.
Drag and drop the label “Sum” to the sum of −1.9 and z.
Answers
For z and -1.9 to be additive inverses, they must sum up to zero. Consequently, z should be 1.9, and both -1.9 and z (=1.9) placed on a number line would reflect their locations relative to zero. The sum of -1.9 and 1.9 would equal zero.
Explanation:In Mathematics, additive inverses are two numbers that add up to give zero. If the numbers z and -1.9 are additive inverses, this means that when added together, they produce the sum of zero. Therefore, z should be the opposite of -1.9, 1.9 on the number line.
The number -1.9 would appear on the left-hand side of the zero because it is a negative number. The number z (=1.9) would appear on the right-hand side of the zero because it's positive. According to the definition of additive inverses, the sum of these two numbers (-1.9 and 1.9) would be zero. So, 'Sum' would also be zero on the number line.
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Related Questions
– (9 – 5c) + 18 – c = 37 please show your work.
Answers
4c + 9 = 37
4c = 37 - 9
4c = 28
4c/4 = 28/4
c = 7
hope this helps
First, distribute the negative into parentheses
-9+5c+18-c=37
Now combine like terms
(-9+18)(5c-c)= 9+4c=37
Subtract 9 from both sides
4c= 28
Divide 4 from both sides
c=7
can you help with the air freshener question?? And can you simplify the answer
Answers
I looked it up
Let's break it down. So for one freshener used, you need 3 and 3/4 millimeters of perfume. So, all you need to do is multiply 3 and 3/4 by 3, since you want 3 fresheners instead of one. So: 3.75 * 3 = 11.25 mm of perfume. Hope this helps =).
A gym membership costs $25 to join and $14 each month. Write and use an algebraic expression to find the cost of the gym membership for 6 months?
Answers
Since it is asking for 6 months worth of cost, we will input the 6 into the x.
14(6)+25=$109.
It's pretty expensive, if you ask me.
25 + 14m= the cost
25 + 14(6) = 109
The cost would be $109 if he bought the 6-month gym membership. Hope this helps and I explained it well.
Solve each problem for the given variable
-3c+ac=ac=4 solve for c
X/Y +4=x/5 solve for x
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2. Factor out C
[tex]c(a-3)=4[/tex]
3. Divide both sides by a-3
Answer: [tex]c= \frac{4}{a-3} [/tex]
1. [tex] \frac{x}{y} + 4 = \frac{x}{5} [/tex]
2. Multiply both sides by [tex]y[/tex]
[tex]x+ 4y= \frac{xy}{5} [/tex]
3. Now we need to multiply both sides by 5
[tex]5x+20y=xy[/tex]
4. Change xy to a negative because it is a positive and add it to both sides.
[tex]-xy + 5x + 20y= 0[/tex]
5. Change 20y to a negative and add it to both sides
[tex]-xy + 5x= -20 y[/tex]
6. Now we need to Factor out X
[tex]x(-y+5)=-20y[/tex]
7. Divide both sides by [tex]-y+5[/tex]
[tex] \frac{x(-y+5)}{-y+5} = \frac{-20y}{-y+5} [/tex]
Answer: [tex]x= \frac{-20y}{-y+5} [/tex]
What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?
k =
Answers
So now can calculate k: 112+3k=121, 3k=9, k=3.
so 121 = 112 - k(-3)
solve for k
subtract 112 from both sides
so that would give you 9 = -k(-3)
use the distributive property on -k(-3)
so that would be 3k = 9
divide both sides by 3
which gives you the answer k=3
two friends share 7 cookie equally. How many cookies does each friend get?
Answers
Answer: Each friend get 3.5 cookies.
Step-by-step explanation: Given that two friends share 7 cookie equally.
We are to find the number of cookies that each friend get.
We will be using the UNITARY method to solve the given problem.
Number of cookies shared by 2 friends equally = 7.
Therefore, number of cookies that one friend get will be
[tex]\dfrac{7}{2}=3.5.[/tex]
Thus, each friend get 3.5 cookies.
Onetta biked 325 miles in 5 days. If she biked the same number of miles each day, how far did she bike each day?
Answers
Explain how you can find the numbers of ninths in 2 5/9
Answers
You convert 2 5/9 to a mixed number which is 23/9 and you can just use the 23 because that is the number of ninths.
Answer:
23 is the required answer.
Step-by-step explanation:
We are given a fraction of the form [tex]2\frac{5}{9}[/tex].
It is a mixed fraction.
We convert it into improper fraction.
The improper fraction is of the form [tex]\frac{(9\times2)+5}{9} = \frac{23}{9}[/tex].
This fraction can also be written as 23 multiplied [tex]\frac{1}{9}[/tex] times.
It is clear that the above fraction have 23 parts of ninth.
An animal shelter spends $1.00 per day to care for each bird and $7.00 per day to care for each cat. Oliver noticed that the shelter spent $186.00 caring for birds and cats on Wednesday. Oliver found a record showing that there were a total of 36 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?
Answers
y= # number of cats
x+y=36
y=36-x
1(x)+7(y)=186
x+7(36-x)=186
252-6x=186
x=11
11 birds at the shelter on Wednesday
(2x+3 2/5) + (5x -4/3
Answers
Explanation:
____________________________________
Given the expression:
____________________________________
" (2x + 3 ⅖) + (5x −
Write words to match the expression 6x(12-4)
Answers
Answer:
"6 times the difference of 12 and 4"
Step-by-step explanation:
Given: [tex]6\times (12-4)[/tex]
To write the given expression in words.
"6 times the difference of 12 and 4"
Because difference of 12 and 4 is 12-4
6 times of a number(n) is 6n
Therefore,
[tex]6\times (12-4)[/tex] as phrase "6 times the difference of 12 and 4"
Hence, The phrase of the given expression is "6 times the difference of 12 and 4"
the vertices of a triangle are A(-2,4), B (1,2), and C(-2,-2). reflect the triangle in the y-axis, and then rotate the image 90 degrees counterclockwise about the origin. what are the coordinates of the image?
Answers
The coordinates of the image of triangle ABC are A''(4, -2), B''(2, 1) and C''(-2, -2).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x).
Given that, he vertices of a triangle are A(-2,4), B (1,2), and C(-2,-2).
Reflect the triangle in the y-axis
The rule for a reflection over the y -axis is (x,y)→(-x, y)
Here, A(-2, 4)→A'(2, 4)
B (1,2)→B'(-1, 2)
C(-2,-2)→C'(2, -2)
Then rotate the image 90 degrees counterclockwise about the origin.
A'(2, 4)→A''(4, -2)
B'(-1, 2)→B''(2, 1)
C'(2, -2)→C''(-2, -2)
Therefore, the coordinates of the image of triangle ABC are A''(4, -2), B''(2, 1) and C''(-2, -2).
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25m/s to miles/h
Can anyone solve it?
With explanation if you can
Answers
25 meters per second x 60 seconds = 1500 meters per minute
1500 meters per minute x 60 minutes per hour = 90,000 meters per hour
1 mile = 1609.34 meters
90000/1609.34 = 55.92 miles per hour
round answer to either 55.9 or 56 mph depending on what you need.
Help me please I really don’t understand
Answers
Number 2 is C.
Did you need all of them?
The sum of 5 consecutive integers is 505
Answers
To find the sum of 5 consecutive integers, use the formula (n + n+1 + n+2 + n+3 + n+4), where n is the first integer. The consecutive integers are 99, 100, 101, 102, and 103.
Explanation:To find the sum of 5 consecutive integers, we can use the formula (n + n+1 + n+2 + n+3 + n+4), where n is the first integer. In this case, the sum is 505, so we have the equation: n + (n+1) + (n+2) + (n+3) + (n+4) = 505. Simplifying this, we get: 5n + 10 = 505. Subtracting 10 from both sides gives 5n = 495. Dividing both sides by 5, we find that n = 99.
Therefore, the 5 consecutive integers are 99, 100, 101, 102, and 103.
The Greendale fifth graders sat in the balcony at Symphony Hall. 15 students sat in each row. How many rows did they fill?
Answers
Simplify 10 • 2 • 2 • 30 500 1200 4800 5000
Answers
Processing ends successfully
Answer:
1200
Step-by-step explanation:
10 times 2 is 20
20 times 2 is 40
40 times 30 is 1200
answer: 1200
If the value of "a" lies between −5 and 2 and the value of "b" lies between −7 and 1, what are the possible values for the product a· b?
Answers
-4·(-5)=20
-4·(-4)=16
-4·(-3)=12
-4·(-2)=8
-4·(-1)=4
-4·0=0
-3·(-6)=18
-3·(-5)=15
-3·(-4)=12
-3·(-3)=9
-3·(-2)=6
-3·(-1)=3
-3·(0)=0
-2·(-6)=12
-2·(-5)=10
-2·(-4)=8
-2·(-3)=6
-2·(-2)=4
-2·(-1)=2
-2·(0)=0
-1·(-6)=6
-1·(-5)=5
-1·(-4)=4
-1·(-3)=3
-1·(-2)=2
-1·(-1)=1
-1·(0)=0
0·(-6)=0
0·(-5)=0
0·(-4)=0
0·(-3)=0
0·(-2)=0
0·(-1)=0
0·(0)=0
1·(-6)=-6
1·(-5)=-5
1·(-4)=-4
1·(-3)=-3
1·(-2)=-2
1·(-1)=-1
1·(0)=0
BOLDED are the answers
The possible values for the product [tex]\( a \cdot b \)[/tex] are between -14 and 14, inclusive.
Here's the step-by-step calculation:
1. To find the minimum possible value, we multiply the smallest values of ( a ) and ( b ):
[tex]\( a = -5 \) and \( b = -7 \)[/tex]
[tex]\( a \cdot b = (-5) \cdot (-7) = 35 \)[/tex]
2. To find the maximum possible value, we multiply the largest values of ( a ) and ( b ):
[tex]\( a = 2 \) and \( b = 1 \)[/tex]
[tex]\( a \cdot b = 2 \cdot 1 = 2 \)[/tex]
So, the possible values for the product[tex]\( a \cdot b \)[/tex] are between -14 and 14.
The range of values for( a ) is from -5 to 2, and for ( b ) is from -7 to 1. To find the extreme values of the product [tex]\( a \cdot b \),[/tex] we multiply the smallest and largest values of ( a ) and ( b ).
For the minimum value, we take ( a = -5 ) and ( b = -7 ), which gives us [tex]( a \cdot b = 35 \).[/tex]
For the maximum value, we take ( a = 2 ) and ( b = 1 ), which gives us [tex]\( a \cdot b = 2 \).[/tex]
Therefore, the product[tex]\( a \cdot b \)[/tex] ranges from -14 to 14, inclusively.
complete question
If the value of "a" lies between −5 and 2 and the value of "b" lies between −7 and 1, what are the possible values for the product a· b?
Before discarding, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. If she discards the gold. Are, what percent of her remaining cards are red?
Answers
After discarding the gold card, Carolee has a total of 10 cards left. The calculation for the percentage of red cards among these is (3 red cards / 10 total cards) × 100, resulting in 30% of the remaining cards being red.
Explanation:The question asks about the percentage of the remaining cards that are red after Carolee discards the gold card. Initially, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. After discarding the gold card, she has a total of 10 cards left (4 green + 3 red + 3 orange).
To find the percentage of the remaining cards that are red, we use the formula for percentage, which is (Part / Whole) × 100. In this case, the 'part' is the number of red cards, and the 'whole' is the total number of remaining cards.
Percentage of red cards = (Number of red cards / Total number of cards) × 100
= (3 / 10) × 100
= 30%
Therefore, 30% of Carolee's remaining cards are red.
(6^3)^2 =
A) 6^1
B) 6^5
C) 6^6
D) 6^9
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathtt{(6^3)^2}\\\\\mathtt{= (6\times6\times6)^2}\\\\\mathtt{= (36\times6)^2}\\\\\mathtt{= (216)^2}\\\\\mathtt{= 216^2}\\\\\mathtt{= 216\times216}\\\\\mathtt{= 46,656}\\\\\mathtt{= 6^6}\\\\\mathtt{= 6\times6\times6\times6\times6\times6}\\\\\mathtt{= 36\times36\times36}\\\\\mathtt{= 1,296\times36}\\\\\mathtt{= 46,656}\\\\\\\huge\text{Therefore your answer should be:}\\\boxed{\mathtt{Option\ C.\ 6^6}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]How do you factor this out 2y^2+3y-35?
Answers
In Zoe's class, 4/5 of the students have pets. Of the students who have pets, 1/8 have rodents. What fraction of the students in Zoe's class have pets that are rodents? What fraction of the students in Zoe's class have pets that are not rodents?
Answers
Final answer:
In Zoe's class, 1/10 of the students have pets that are rodents, while 7/10 have pets that are not rodents.
Explanation:
To calculate the fraction of students in Zoe's class who have pets that are rodents, you multiply the fraction of students who have pets by the fraction of those pet owners who have rodents:
4/5 × 1/8 = 4/40 or simplified, 1/10.
This means 1/10 of Zoe's class have rodents as pets.
Now, to find out the fraction of students with pets that are not rodents, subtract the fraction of students with rodents from the total fraction of students with pets:
4/5 - 1/10 = 32/40 - 4/40 = 28/40, which simplifies to 7/10.
So, 7/10 of Zoe's class have pets that are not rodents.
Gerardo has an average of 83 on his five math tests. What must he score on his sixth test to raise his average to 85?
Answers
Why?
83 is the average of 5 tests already taken. Each of the 5 tests would need 2 points added on in order to bring the average up to 85 (for those 5 tests). That means added 5 (tests) x 2 (extra points each) = 10 points to the 6th test to make up the difference.
10 + 85 = 95
Francois baked just enough cookies to fill all the orders at his bakery. While the cookies were cooling, a kitchen assistant knocked over a cooling rack and spilled %12, percent of the cookies onto the floor. Francois had to bake 36 more cookies to replace them. How many cookies were ordered in total?
Answers
We can tell this because we know 12% is equal to 36. Because this is true, we can set up a proportion to solve. All proportions can be set up with the small number on top and the total on the bottom. This will help you solve for the missing number, which is in this case the total number of cookies. Let x be the total number of cookies.
Percentage/total percentage = cookies/cookies total
12/100 = 36/x
Now we can cross multiply to solve.
(100)(36) = (12)(x) ----> multiply
3600 = 12x ---> divide by 12
300 = x
factor out -1/4 out of -1/2x-5/4y
Answers
[tex] \frac{1}{2}x- \frac{5}{4}y [/tex]
Factor -1/4. How? To factor a polynomial, you divide all the terms by the GCF (The Greatest Common Multiple.)
[tex]=-1/4(\frac{1}{2}x/(-1/4)- \frac{5}{4}y/(-1/4))[/tex]
Simplify.
[tex]=-1/4(\frac{1}{2}x*(-4/1)- \frac{5}{4}y*(-4/1))[/tex]
[tex]=-1/4(\frac{-4}{2}x- \frac{-20}{4}y)[/tex]
Reduce Fractions to simplest form.
[tex]=-1/4(-2x-(-5y))[/tex]
The Factor Polynomial Is:
[tex]=-1/4(-2x+5y)[/tex]
Hope this helps.
-Benjamin
What is the expanded form of the first factor?
43 × 59
A.
43 + 0
B.
40 + 3
C.
54 + 5
D.
59 + 0
Answers
Name all sets of numbers to which each real number belongs. Need answers from 54-59. Thank you.
Answers
Lastly, I've attached a visual of how all of these number systems relate to one another within the context of the real number system:
how do I solve -15=-4m+5
Answers
The solution to the equation -15 = -4m + 5 is m = 5.
We have,
To solve the equation -15 = -4m + 5, you can follow these steps:
- Step 1:
Start by isolating the variable term (-4m) on one side of the equation.
You can do this by subtracting 5 from both sides:
-15 - 5 = -4m
Simplifying, we get:
-20 = -4m
Step 2:
Divide both sides of the equation by -4 to solve for m:
-20 / -4 = -4m / -4
Simplifying, we get:
5 = m
Therefore,
The solution to the equation -15 = -4m + 5 is m = 5.
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Please help...................................................
Answers
Latrell has $8 to spend on postcards. He wants to buy one large postcard and some small ones. Write and solve an inequality to determine how many small postcards Latrell can purchase. Interpret the solution.