suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?​

Answers

Answer 1

Answer:

[tex]b[/tex] decreases by [tex]1[/tex]

Step-by-step explanation:

If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].

Example:

Suppose [tex]a=7[/tex]  and [tex]b=3[/tex].

[tex]a+b = 10[/tex]

[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)

Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):

[tex]b = 10-8[/tex]

[tex]=2[/tex]

From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].

Hope this helps :)


Related Questions

Which transformation maps B (2,5) to B'(-2,-5)?
A. A 90 degree rotation
B. Reflection about the y-axis
C. A 270 degree rotation
D. A 180 degree rotation

Answers

Answer: B

Step-by-step explanation: Because the positive numbers changed to negatives meaning that it flipped over an axis and since both of them changed it would be the y-axis

How do you calculate slope in pre algebra

Answers

Answer:

Find the slope from a graph

Locate two points on the line whose coordinates are integers.

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Count the rise and the run on the legs of the triangle.

Take the ratio of rise over run to find the slope. m = rise / run.

Triangle CAT is an isosceles triangle with base angles C and T each represent by (3x + 11) degrees, while angle A is represented by (9x + 8) degrees. Find the measure of angle C.

Answers

Answer:

Angle C = 41°

Step-by-step explanation:

Given:

Angle C = (3x + 11) degree

Angle T = (3x + 11) degree

Angle A = (9x + 8) degree

Find:

Angle C

Computation:

Using angle sum property

(3x + 11) + (3x + 11) + (9x + 8) = 180

15x + 30 = 180

x = 10

So,

Angle C = (3x + 11) degree

Angle C = 3(10) + 11

Angle C = 41°

$50 toolset; 10% markup

Answers

Answer:

10% of 50 is 5 dollars up, so will be $55

Please somebody help me.

Answers

Answer: I do believe its A.

Tho I advise you plug it into Midpoint Calculator (Free math website) just to be sure.

Happy Holidays and Good luck

which slopes could be the slopes of perpendicular lines?

1/2 and 2


8 and -1/8


2 and 2


1 and -1


0 and undefined

Answers

Answer:

0 and undefined

Step-by-step explanation:

Inverse operations are mathematical operations that undo one another. Division is the inverse operation of multiplication. -2 × 6 = -12. -12 ÷ 6 then "undoes" this multiplication, leaving us with a quotient of -2. Multiplication and division follow the same rules related to signs. A negative integer multiplied by a positive integer gives us a negative product. Similarly, a negative integer divided by a positive integer gives us a negative quotient. However, unlike multiplication, division is not commutative. If you change the order of the number you're dividing and the number you're dividing by, you will get a different quotient. Find the quotient: -54 ÷ 9 =

Answers

Answer:

-54/9=-6

Step-by-step explanation:

When doing this division we need to take a couple of things into account. First, notice we are dividing a negative number into a positive number, therefore our answer must be negative.

Second, notice that 9 fits 6 time into 54, therefore:

-54/9=6

We can look at this graphically, if we have 54 squares and divided them in groups of 9, we would get 6 groups of 9 in total.

See attached picture.

Lauren buys 17 pounds of bread for her restaurant every day at a cost of $1.40 per
pound.
How much does she pay for the bread each day?

Answers

17*1.40 =23.80 that’s the answer

If∠

Answers

Answer:

where is tge other half question?

An angle measures 90° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Supplementary angles add up to 180 degrees more than the other, you can formulate an equation 180=(100+x)+x80=2x so, x=40 the other angle is 100 degrees more. So, the angle lengths are 40 and 140 degrees

50 points
Which statement best describes the reason the Hebrew people left Egypt?

The Hebrew people were fleeing Egyptian slavery.
The Hebrew people were forced to leave by the pharaoh.
The Hebrew people were seeking more land and resources.
The Hebrew people were invited back to Canaan to live freely.

Answers

Answer:

Step-by-step explanation: The Hebrew people were seeking more land and resources.

Answer:

The Hebrew people were seeking more land and recources

Step-by-step explanation:

Need these proofs solved ASAP 45 pts I will give brainliest

Answers

Answer:

Step-by-step explanation:

im not sure buddy

What is the circumference?
7 ft

Answers

Answer:

C = 7π

Step-by-step explanation:

Diameter: 7 feet

Formula: C = πd (Circumstance = π × Diameter)

C = 7π

Acell phone weighs about 2.8x 10" pounds. Which value of n is most reasonable?
O1

Answers

Answer:

write in algorithm and draw a flowchart to calculate the factorial of a number (N). verify your results by a trace table by assuming N=5

What was the range of the snowfall in Denver?

7.6 inches

9.2 inches

4.8 inches

5.4 inches

10 points pleas do not answer if u do not know

Answers

Answer:

9.2 but I am not sure because it shows that 8.5 so yeah

Step-by-step explanation:

HOPE THIS HELPS

Answer: Choice A) 7.6 inches

==============================================================

Explanation:

Check out the diagram below

In that diagram, I've marked the highest and lowest bars with red ink.

max = 8.4 inchesmin = 0.8 inches

The range is simply the difference of the highest and lowest values

So,

range = max - min

range = 8.4 - 0.8

range = 7.6

The answer is choice A.

HELP PLS IDK WHAT TO DO

Answers

Answer: hmmm i think u should multiply

Step-by-step explanation:

Answer:

gfbngfjhbfgnbfhbnng

Step-by-step explanation:

How do you find the equation of the circle given center at (1,-3), and radius 10?

Answers

Answer:

note: all the twos are to the power

100=(x−1)2(y+3)

Step-by-step explanation:

Suppose the centre of the circle was at the origin (where the x axis crosses the y axis). Then the equation would be:

r2=x2+y2

The reason for this format is that the length of the radius (which is of fixed length) can be related to x and y by Pythagoras. However, the circle centre is not at the origin. It is at

(x,y)→(1,−3)

So we can mathematically make this work by 'theoretically' moving the actual centre to a new centre located at the origin.

Thus we would have:

r2=(x−1)2+(y−(−3))2

r2=(x−1)2+(y+3)2

But the radius is 10 so we have

(10)2=(x−1)2+(y+3)2

100=(x−1)2+(y+3

If two angles are supplementary, then they are not congruent. Which diagram provides a counterexample for the statement?
A) A
B) B
C) C
D) D

Answers

Answer:

a

Step-by-step explanation:

supplmentay angles are either of two angles whose sum is 180°

option b is two right angles (90 degree on both) add them together you get 180.

option c is 60 degrees and 120 degrees add them together to get 180 degrees.

option d is 155 degrees and add 25 degrees you get 180.

so the answer is a, because 30 degrees and add the other 30 degrees together you only get 60

The correct answer is A, because 30 degrees and add the other 30 degrees together you only get 60.

What are supplementary angles?

The supplementary angles are defined as the angles whose sum is equal to 180°.

Supplementary angles are either of two angles whose sum is 180°

Option b is two right angles (90 degrees on both) add them together you get 180.

Option c is 60 degrees and 120 degrees add them together to get 180 degrees.

Option d is 155 degrees and add 25 degrees you get 180.

Therefore, the answer is A, because 30 degrees and adding the other 30 degrees together you only get 60.

To know more about supplementary angles follow

https://brainly.com/question/12919120

#SPJ2

EASY POINTS FOR Y'ALL!!!!!!

Answers

Answer:B

Step-by-step explanation:

Answer:

D, is the correct answer!!

Step-by-step explanation:

Gabrielle is 8 years older than Mikhail. The sum of their ages is 58. What is Mikhail's age?

Answers

Answer:

Mikhail is 50 old why because Gabrielle and they said the sum of their age is 58 so that mean Mikhail is older 58-8=50

Step-by-step explanation:

6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!

Answers

Answer:

The answer to #6 is 255

The answer to #7 is the mint milkshake is thicker

The answer to #8 is A is 12 and B is 18

The answer to #9 is A is 33 and B is 15

Missing values:

1. 1:7 , 3:21, 18:126

2. 20:12 , 10/3:2 , 8 1/3:5

3. 42:21 , 6:3 , 48:24

4. 4:10 , 8:20 , 16:40

5. 36:32  18:16

Step-by-step explanation:

#2: The first ratio is shown, which is 5:3.  Meaning, that the bottom number (cakes) is multiplied by 5/3 in order to get the top number (pies).   We can apply that to the ratio with 12 cakes, 12 multiplied by 5/3 is 20.  The next ratio involved 10/3 pies.  Since that is the "top" number (see chart), 10/3 need to be multiplied by 3/5 instead of 5/3.  By doing that, the number of cakes is 2.  

#7: The ratio of milk to ice cream in the mint milkshake is 1.25:4

The ratio of milk to ice cream in the strawberry milkshake is 1.75:5

When the ratios are divided, the quotient for the mint milkshake (0.3125) is LESS than the quotient for the strawberry milkshake (0.35).  This means that there is less milk and more ice cream (ratio-wise) in the mint one.

Number 1 : adults to children 2:14 , 1:7, 3:21, 18:126
Number 2 :

The system of equations is graphed on the
coordinate plane.
y = x - 1

y = -2x - 4

Enter the coordinates of the solution to the
system of equations in the boxes.
(___,___)

Answers

-1,-2 because they intersect

Write the word sentence as an equation.

The sum of a number x and 4 equals 12.

An equation that represents this sentence is
.

Answers

Answer:

x+4=12

x in this equation would be 8

Answer:

X + 4 = 12

Step-by-step explanation:

you write it in a equation for like if you were writing whats two plus two equals 4 write it equation form ? The answer would be 2+2=4

If you are in a store and there is a discount sale u buy something and the original price was $45 and the discounted price was $18 what was the discount?

Answers

Answer:

Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our ... Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, ... There is a sale for 20% off on a sweater your grandma wants to buy you for ... the store and gets an additional 25% discount off the already discounted sale price.

(:

Answer:

40% off. 40% of 45 is 18

Step-by-step explanation:

A department store is offering the same percentage discount on all of their shoes. Suppose one pair of shoes is marked down from $70 to $49. Based on that percentage discount, what would the new price be for a pair of shoes that originally cost $100?

MIDDLE SCHOOL QUESTION

Answers

Answer: $70

Explanation: 49 is 70 percent of 70, which means the price was reduced 30%. If we reduce $100 by 30%, we get 70

Question 8 (1 point)
Solve the equation:
5(y+2)=-35
O
a
y=-7
y=-17
b
y=-5
ос
Od
y=-9

Answers

Answer:

D. y = -9

Step-by-step explanation:

HI SOMEONE PLS HELP ME

Answers

Answer:

d

Step-by-step explanation:

because there is a closed dot at -4 you use the one with a line under it showing it is included and because there is open at 4 you use one without a line to show it is not included

Solve the inequality
22 + 4x - 32 < 0

Answers

Answer:

x=5

Step-by-step explanation:

22 + 4x - 32 < 0

            +32    +32

22 + 4x < 32

-22           -22

2x < 10

divide by 2

x=5

Use repeated subtraction to find 68 ÷ 5

Answers

Answer:

13 with 3 remaining

or 13.6

Step-by-step explanation:

1. What is the value of s?
A. 8
B.16
C.16|2
D.32

Answers

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[tex] \cos(30°) = \frac{16 \sqrt{3} }{s} \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{16 \sqrt{3} }{s} \\ [/tex]

Inverse both sides

[tex] \frac{2}{ \sqrt{3} } = \frac{s}{16 \sqrt{3} } \\ [/tex]

[tex] \frac{s}{16 \sqrt{3} } = \frac{2}{ \sqrt{3} } \\ [/tex]

Multiply sides by 163

[tex]16 \sqrt{3} \times \frac{s}{16 \sqrt{3} } = 16 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ [/tex]

[tex]s = \frac{2 \times 16 \times \sqrt{3} }{ \sqrt{3} } \\ [/tex]

[tex]s = 32[/tex]

Thus the correct answer is Option D .

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