The sum of two numbers is 12. The difference of the same two numbers is -4. Wht is the smaller number?

Answers

Answer 1

Answer:

The smaller number is 4.

Step-by-step explanation:

X and Y are the two numbers

x+y=12

x-y=-4

Subtract these two equations

(x+y=12)

-(x-y=-4)

—————-

2y=16

y=8

Plug it in to any equation:

x+y=12

x+8=12

x=4


Related Questions

the area of a rectangle shown is 44m2

3 2/3 m
x?
work out the missing length x

Answers

45 i think I hope I was helpful

4) What type of slope does the following line have?

Answers

Answer: zero slope

Step-by-step explanation:

When the slope of a line is zero it creates a horizontal line.

The table represents points on a line. What is the slope
X 1 4 7 10
Y 8 6 4 2

Answers

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 8) and (x₂, y₂ ) = (10, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-8}{10-1}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]

help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

there is probably a way to do this w/o calculus,  but I cheated and used that.

A = Length * Width

A = x * ( 650 -2x)

A = 650x -2[tex]x^{2}[/tex]

d/dx ( A = 650x -2[tex]x^{2}[/tex])

0=650 -4x

4x = 650

x = 135 m

A= 650*135 -2*[tex]135^{2}[/tex]

A = 51,300  [tex]m^{2}[/tex]

the length length of a species of plants is normally distributed with expected value 60 cm. it is known from past experience that seventy five percent of theses flowers have length between 50 and 70 cm. what can we say about the standard deviation of the length of this plant?

Answers

The standard deviation of the length of this plant be 25.

m = 60(mean)

Let the standard deviation be s,

As, the probability for 50<x<70 be 0.75

Z = (x−m)/s

for x=50,

Z=0

for x=70,

Z=(70−50)/s=20/s

Now, the probability for 50<x<70 be,

P(50<x<70) = 0.75

In the standard form 0<z<(20/s)

using Z-table, the area from 0 to 20/s,

= 0.75

s = 25

Hence, the standard deviation of the length of this plant be 25.

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PLEASE HELP ITS DUE IN 20 MINUTES

Answers

Answer/Step-by-step explanation:

[tex]-\frac{8}{27} a^{15} = (-\frac{2}{3})^{3} * (a^3)^5 = (-\frac{2}{3} a^{5})^3[/tex]

I hope this helps!

if ratings on a measure of creativity contain nothing but random error, what would the reliability of that measure be?

Answers

50 would be the reliability of that measure  by standard error.

What is the standard deviation?

The population mean and sample mean are likely to deviate from one another, and the standard error of the mean, or simply standard error, shows how likely this is. If a study were to be repeated using fresh samples drawn from a single population, it would be possible to calculate how much the sample mean would change.

A measure that has no random error and no true score (i.e., is only random error) has zero reliability. A measure that has random error.

50 would be the reliability of that measure .

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Which equation represents a line which is perpendicular to the line y=2x-5y
A. 2x−y=−4
B. 2y−x=4
C. x+2y=-6
D.2x+y=-2

Answers

Answer:

c

Step-by-step explanation:

To find a perpendicular line, you must compare the slopes. With the equation y=2x-5, we're looking for the inverse/opposite slope of -1/2.

Option A still has a slope of 2. Option B, when everything is in the format of mx+b = y format is -x-4=-2y. which gives us 1/2 but not -1/2. C when everything is on the right side gives us -2y=x-6. Divide both sides by -2 to get the y by itself and you're left with y = -1/2x+3. Now we found the equation that gives us the -1/2 slope we were looking for.

There is a number written on the board.
One student increased the number by 12.
Another student multiplied the number written
on the board by 3. The first student’s result is 2
greater than the second student's result. What
number is written on the board?

Answers

The number written on the board is 2 2/5

What are linear equations?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0. where, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. where, x and y are variables, A and B are coefficients and C is a constant.

represent the number on the board by x, the result of the second student by y , therefore the result of the first student is 2y

solving for the first student, 12+x= 2y

for the second student , 3x= y

substituting 3x for y in first equation

12+ x= 2(3x)

12+x= 6x

collecting like terms

5x= 12

divide both side by5

x= 12/5= 2 2/5.

Therefore the number on the board is 2 2/5

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You-Pick Blueberry Farm sells 6 pounds of blueberries for $16.50.

How much would 9 pounds of blueberries cost?
How much would 5 pounds of blueberries cost?

I will give brainly! worth 23 points! please hurry!

Answers

The value of 9 pounds of blueberries is $24.75.

The value of 5 pounds of blueberries is $13.75.

How to calculate the cost?

The fact that the Blueberry Farm sells 6 pounds of blueberries for $16.50 implies that the cost per pound will be:

= $16.50 / 6

= $2.75

Therefore, 9 pounds of blueberries cost:

= Cost per pound × 9

= $2.75 × 9

= $24.75

5 pounds of blueberries will cost:

= 5 × $2.75

= $13.75

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Joanna saves $55 each month from her part-time job. She saves 1/5 of her earnings. Write and solve an equation determine Joanna’s earnings

Answers

If 1/5 of Joanna's monthly savings is $55 the equation of her savings is

x/5 = 55

The solution to the equation is $275

How to determine the equation of Joanna's savings

information from the question include

Joanna saves $55 each month from her part-time job

She saves 1/5 of her earnings

let x represent the Joanna's earnings

The equation of Joanna savings is represented in the form

1/5 of x = 55

This equation deals with multiplication and the term 'of' as used in math represents multiplication

Hence 1/5 of x = 1 / 5 * x = x/5

x/5 = 55

multiplying both sides by 5

x = 275

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Use the diagram of AlL where k, S and are midpoints or the sides, RK = 3, KS = 4, and JK
Is perpendicular to KL.
Find the length of RS

Find the length of JK

Find the length of RT

Find the perimeter of JKL

Answers

1. The length of RS is 5.

2. The length of JK is 6.

3. The length of RT is 4.

4. The perimeter of triangle JKL is 24.

What do you mean by right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

According to data in the diagram of the given question:

We have :

The ΔJKL, ΔRKS and ΔRTS are right-angle triangle.

The length of RK=3 and KS=4

We are using pythagoras theorem for determine the length of RS,

(RK)²+(KS)²=(RS)²

(3)²+(4)²=(RS)²

9+16=(RS)²

25=(RS)²

(5)²=(RS)²

RS=5

∴ The the length of RS is 5.

Now, we need to find the length of JK,

JK=2(RK)=2(3)=6

JK=6       [Because RK is midpoint of the side JK]

We have given value of KS=4 and the side KS is the opposite side of RT,

So, that's why the value of RT=4.

Now, we will find the perimeter of ΔJKL,

JK=6, KL=8 and we need to find the side JL,

(JK)²+(RL)²=(JL)²

(6)²+(8)²= (JL)²

36+64=(JL)²

100=(JL)²

(10)²=(JL)²

JL=10

The perimeter of the triangle ΔJKL,

Perimeter=6+8+10=24

Therefore, the perimeter of the triangle is 24.

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Work out (3 x 10^199) + (2 × 10^201).
Give your answer in standard form.

Answers

The standard form of  (3 x 10^199) + (2 × 10^201). is 2.03 x 10^201

The expression given is (3x10^199)+(2*10^201) we need to write it in the standard form

Take 10^199 from the equation

=10^199((3x1)+(2x10^2))

=10^199(3+(2x100))

=10^199(3+200)

=10^199(203)

=203x10^199

2.03 x 10^201

1. there are 201 zeros after 2 and 199 zeros after 3

2. difference  between  201 and 199 is 2

3. on adding both of them the 3 will come 2 spaces to the right of 2

The value of (3 x 10^199) + (2 × 10^201). is 2.03 x 10^201

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The tape diagram shows that there are 90 teeth on a comb.
Teeth
90
Complete the table to show different percentages of the teeth on the comb.
90
100%
Percentage
% of 90 teeth
% of 90 teeth

Answers

The asked percentages are given as

1. 90 is 100% of 90.

2. 9 is 10% of 90.

3. 27 is 30% of 90.

Explain percentage.

A percentage is a particular number or fraction in every hundred. The denominator of the fraction is 100, and it is represented by the symbol "%."

The purpose of percentage calculations is to determine the percentage of a whole in terms of 100. A percentage can be determined using one of two methods:

Through the unitary approach.By making 100 the new denominator of the fraction.

It should be noted that when the denominator is not a power of 100, the second technique of percentage computation is not used.

Given, a comb has 90 teeth.

1. Find out what percentage of 90 is 90 now.

Let the percentage be x,

(x/100) × 90 = 90

x = (90 × 100)/90

x = 100 %

2. Now, find what percent of 90 is 9.

Let the percentage be x,

(x/100) × 90 = 9

x= (9 × 100)/ 90

x = 10%

3. Now, find what percent of 90 is 27.

Let the percentage be x,

(x/100) × 90 = 27

x= (27 × 100)/ 90

x = 30%

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Are these parallel or perpendicular or neither? 3x+2y=10 and 2x+3y=-3

Answers

Answer:

These lines are neither parallel nor perpendicular.  

Step-by-step explanation:

Parallel lines are lines that never intersect and perpendicular intersect at a ninety degree angle.

Using desmos, you can find your solution.

I hope this helps

-No one

Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.

T=
U=
V=
W=

Answers

The coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

 T'(-8, -4) , U'(-8, -6) , V'(-3, -9) , W'(-3, -7)

When a point P(x, y) is rotated 270° counterclockwise around the origin, we flip x and y and reverse the sign of x.

Thus,

The rule to rotate a point P(x, y)  after a rotation 270° counterclockwise around the origin is:

P(x, y) → P'(y, -x)

From the Graph,

In our case, we have the points

T = (4, -8)

U = (6, -8)

V = (9, -3)

W = (7, -3)

Thus, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

P(x, y)          →        P'(y, -x)

T (4, -8)       →       T'(-8, -4)

U  (6, -8)      →       U'(-8, -6)

V  (9, -3)      →        V'(-3, -9)

W  (7, -3)     →        W'(-3, -7)

Therefore, the coordinates of the vertices after a rotation 270° counterclockwise around the origin will be:

 T'(-8, -4) , U'(-8, -6) , V'(-3, -9) , W'(-3, -7)

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3. Tina needs to build a fence. The fence
is 30 feet long and 20 feet wide. She
realizes she needs more so she increases
the length and width by x feet. Create an
expression that represents the perimeter
for the fence.

Answers

Solution:
2(30+x)+2(20+x)
Explanation:
Perimeter for a rectangle is “2 times length + 2 times width” (2l+2w)
The perimeter before she added x more was 2(30) + 2(20) now that she added it you have to change it to 2(30+x)+2(20+x).


Find the slope of the line passing through the points (4, -2) and (9, -2).
slope:
Find the slope of the line passing through the points (2, 9) and (2, - 7).
slope:

Answers

Answer:

                                 x1  y1    x2  y2

1. 0 - explanation - (4, -2)   (9, -2)     -2 - -2

                                                              4 - 9 (put a fraction bar when you put the y2 and y1 together and put the x2 and y2 in the denominator spot) basically -2 subtract -2 equals 0

2. it would be defined or 0

How do you graph this?

Answers

Reflection at point y = -6 will have coordinates as

preimage      image

Q(0, -9)          Q' (0, -6)

R(4, -9)           R' (4, -6)

S(6, -8)           S' (6, -5)

T(2, -8)           T' (2, -5)

How to find the coordinates

The transformation involve is reflection and this is a type of transformation that produces the mirror image of the preimage

The transformation rule to get the mirror image is (x, y) → (x, y + 3)

The coordinates are applied as follows

Q(0, -9) → (0, -9 + 3) → Q' (0, -6)

R(4, -9) → (4, -9 + 3) → R' (4, 6)

S(6, -8) → (6, -8 + 3) → S' (6, -5)

T(2, -8) → (2, -8 + 3) → T' (2, -5)

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Dario bakes a lasagna containing $\frac 23$ pound of parmesan cheese, $1\frac 34$ pounds of ricotta cheese, and $1\frac 13$ pounds of mozzarella cheese.

Dario cuts the lasagna into several equal slices, each containing exactly $\frac 14$ pound of cheese. How many slices are there?

Answers

Dario cuts the lasagna into 15 equal slices.

Given,

Quantity of Parmesan cheese = 2/3 pounds

Quantity of Ricotta cheese = 1 3/4 = 7/4 pounds

Quantity of Mozzarella cheese = 1 1/3 = 4/3 pounds

The quantity of cheese in each pieces when the lasagna is cut = 1/4 pounds

We have to find the number of slices of cheese.

Here,

Total quantity of cheese;

2/3 + 7/4 + 4/3 = 2 + 7/4 = 15/4 pounds

Number of slices = total cheese / quantity of cheese in pieces

= (15/4) / (1/4) = 15 slices

That is,

Dario cuts the lasagna into 15 equal slices.

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find the area of a rhombus whose diagonals are the lengths 36cm and 22.5 cm

Answers

Answer:

area of rhombus=1/2*36*22.5

=405cm^2

Step-by-step explanation:

-7 + 5x = 5x + 9 help me pls

Answers

Answer:

solve for x 7 (5x+9)=- (x-9) 7(5x + 9) = −(x − 9) 7 ( 5 x + 9) = - ( x - 9) Simplify 7(5x+9) 7 ( 5 x + 9). Tap for more steps... 35x+63 = −(x−9) 35 x + 63 = - ( x - 9) Simplify −(x−9) - ( x - 9).

Step-by-step explanation:

Rewrite 0+0+7(5x+9)= -(x----9)

Apply the distributive property. 7 (5x) + 7.9= - (x-9)

help me please please please

Answers

Answer:

SA = 148 cm²

Step-by-step explanation:

the opposite faces of the cuboid are congruent , then

SA = 2(6 × 5) + 2(4 × 5) + 2(6 × 4)

     = 2(30) + 2(20) + 2(24)

     = 60 + 40 + 48

     = 148 cm²

one day is the amount of time it takes for a planet to make one complete rotation. The number of hours in one day is different for each planet. How many days are equal to 1,100 hours on Saturn? What do you need to do to solve the problem

Answers

A) 1,100 hours is equal to approximately 104days in Saturn.

B) You need to know how hours make 1day in Saturn. i.e 10 hours 34minutes or 10.567hours.

From the question note that the number of hours in one day is different for each planet.

Hence for Saturn;

1 day =  10hours.34minutes

X day   =1,100 hours

Note; 34 minutes in hours will be:

60 minutes  =1hour

34/60      =0.567hour

Thus;

10hours.34minutes   =   10hours +0.567hour

                                   =10.567hours

To find the number of days in 1,100 hours, we cross multiply;

X day  * 10.567hours =1,100 hours * 1 day

       X day  =     1,100 hours * 1 day

                               10.567hours

       X day    =104.1  ≈ 104 days

Therefore, you need to know the number of hours that makes a day in Saturn.i.e 10 hours 34minutes or 10.567hours.

.  Again, 1,100 hours is equal to approximately 104days in Saturn.

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The geometric mean of a number and nine times the number is 30. What is the number?

Answers

For the given geometric mean of a required number and nine times the required number is 30 then the required number is equal to 10.

As given in the question,

Geometric mean GM = 30

Let us assume the first number is x

and second number i.e. 9 times of the first number is 9x

By the formula GM = [tex]\sqrt{x.y}[/tex]

Now putting the value

30 = [tex]\sqrt{x.9x}[/tex]

30 = [tex]\sqrt{9x^{2} }[/tex]

30 = 3x (∴ square root of 9 is 3 and sq root of x² is x)

10 = x  (by dividing both the side by 3)

Therefore, for the given geometric mean of a required number and nine times the required number is 30 then the required number is equal to 10.

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Solve.

−46=21+3m

Enter your answer as a mixed number in simplest form in the box.

m =

Answers

Answer:

-22 1/3

Step-by-step explanation:

We should start by subtracting both sides of the equality by 21.

After doing this, we get that -67=3m.

Furthermore, we can divide both sides by 3 and get -67/3=m.

However, this is an improper fraction, not a mixed number.

If we divide -67 by 3, we get -22 1/3.

Therefore, m= -22 1/3

write the missing number = 1/2 of 18
please help me !!!!

Answers

The one for 1/2 of 18 is 9

Answer:

a) 9b) 18

Step-by-step explanation:

a) 1/2 of 18 = ?

→ 1/2 of 18

→ (1/2) × 18

→ 18/2 = 9

So, answer is 9.

b) 2/3 of 27 = ?

→ 2/3 of 27

→ (2/3) × 27

→ 54/3 = 18

So, answer is 18.

Find the area of a regular hexagon
with a side length of 5 cm. Round to
the nearest tenth.
5 cm
[? ]cm²

Answers

Answer: 64.95

Step-by-step explanation: The formula is (3√3 s2)/2 so using that we can find the answer which is, 64.95

Suav has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $21, before discount and tax. After the discount, and before tax, the price is $19.53. Find the percent discount.

Answers

The percent discount given to Suav in the local grocery store is

How to find the the percent discount

information given in the problem

The item Suav wants to buy in the grocery store is priced at $21

After the discount, and before tax, the price is $19.53

The discount is found by subtraction as follows

discount = price at the store - price before tax

discount = $21 - $19.53

discount = 1.47

Discount in percent

the problem is discount of the price at the store

percentage deals with a fraction hundred and used as follows

= 1.47/21 * 100

= 7/100 * 100

= 7%

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In a recent student government election the ratio of students who voted for the winner to all the students who was 0.70 to the number of students who wrote it was 75 how many votes did the winner get?

Answers

The winner received 53 of the 75 votes in the student gov. election according to provided ratio.

What is ratio?

In arithmetic, a magnitude relation shows range times one number contains another.

Main body:

Because the ratio of students who voted for the winner compared to all students who voted is 0.70

we can rewrite this as:

0.70 = 70/100

And, because we know the total number of students who voted is 75 and if we call the number of students who voted for the winner s , we can then write this relationship and solve for s :

[tex]\frac{70}{100} = \frac{s}{75}[/tex]

Multiplying both sides by 75.

75*[tex]\frac{70}{100} = \frac{s}{75}[/tex]*75

s= 75*70/100

s = 5250/100

s = 52.5

s ≈ 53.

Hence ,The winner received 53 of the 75 votes.

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