The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?

Answer:

(2, 3) x=2, y=3

Step-by-step explanation:

There are two ways to solve this: substitution & elimination:

Using substitution for this equation:

[tex]\left \{ {{3x+y=9} \atop {5x+4y=22}} \right.[/tex]

3x + y =9

y = 9-3x

Substitute for y:

5x + 4(9 - 3x) = 22

5x + 36 - 12x = 22

-7x = -14

x = 2

Solve for y:

3(2) + y = 9

6 + y = 9

y = 3

Answer:

y=-2x+8

Step-by-step explanation:

When consider coordinate (5, -2)

y=-2x+8

When x=5

y= -2 x 5 + 8 = -2

Therefore the answer is  y=-2x+8

Answer:

There are 7,200

Step-by-step explanation:

Hope this helps!

There are 8400 4-digit numbers that are neither multiples of 2 nor multiples of 5.

The sequence is a pattern of placing the values in a specified manner.

To count the number of 4-digit numbers that are not multiples of 2 or 5, we can use the principle of inclusion-exclusion.

First, let's count the total number of 4-digit numbers. We know that the smallest 4-digit number is 1000 and the largest 4-digit number is 9999. Therefore, the total number of 4-digit numbers is:

9999 - 1000 + 1 = 9000

Next, let's count the number of 4-digit numbers that are multiples of 2. We know that a number is a multiple of 2 if its last digit is even, so half of the 10 possible digits can be the last digit of a multiple of 2. Therefore, there are:

5 × 10 × 10 = 500

4-digit multiples of 2.

Similarly, let's count the number of 4-digit numbers that are multiples of 5. We know that a number is a multiple of 5 if its last digit is 0 or 5. Therefore, there are:

2 × 10 × 10 = 200

4-digit multiples of 5.

Now, we need to subtract the number of 4-digit numbers that are multiples of both 2 and 5 (i.e., multiples of 10) since they were counted twice in the above calculations. There are:

1 × 10 × 10 = 100

4-digit multiples of 10.

Using the principle of inclusion-exclusion, the number of 4-digit numbers that are neither multiples of 2 nor multiples of 5 is:

9000 - 500 - 200 + 100 = 8400

Therefore, there are 8400 4-digit numbers that are neither multiples of 2 nor multiples of 5.

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Answer:

11x-11

Step-by-step explanation:

(10x-4)+(-7+x)

10x-4-7+x

11x-11

Answer:

11x-11

Step-by-step explanation:

10x+x=11x

-4+(-7)=-11

11x-11

if this is right a brainliest would be very appreciated!

Answer:

help :(

Step-by-step explanation:

Answer:4.5

Step-by-step explanation:

The value of the expression using BODMAS rule is 9.

To simplify the arithmetic expression involving more operators, we need to  use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.

For the given situation,

The values are c = -4, d = 10

The expression is 1/4(c^3+d^2)

Substitute the above values,

⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]

⇒ [tex]\frac{1}{4}(-64+100)[/tex]

⇒ [tex]\frac{1}{4}(36)[/tex]

⇒ [tex]9[/tex]

Hence we can conclude that the value of the expression using BODMAS rule is 9.

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Answer: 9

Step-by-step explanation:no clue how I got it but the test marked it correct

Answer:

15kmh

Step-by-step explanation:

Answer:

15k

Step-by-step explanation:

There is 60 mins in an hour. Since she runs 5k in 20 mins you would multiply 20 by 3 because it would equal 60. Also you would multiply 5k by 3 also.

i hoped that made sense ;-;

Answer:

v

Step-by-step explanation:

it has two equal sides of 6 and thats all you need

Answer:

The 3rd one

Step-by-step explanation:

Answer:

N I OS H

Step-by-step explanation:

WITH A POINT IN THE MIDDLE OF EACH LETTER. EX- IN THE MIDDLE FO O

A P E X

Answer:

Step-by-step explanation:

8x + 10y = 30

12x + 15y = 60

-24x - 30y = -90

 24x + 45y = 120

15y = 30

y = 2

8x + 20 = 30

8x = 10

x = 10/8

x = 5/4

(5/4, 2)

Answer:

(0, 3)

Step-by-step explanation:

Let's first eliminate x.  To do this, multiply all three terms of the first equation by 5:  

-5x + 20y = 60

5x -    2y  = -6

----------------------

         18y = 54, so that y = 3.

Substituting 3 for y in the first equation yields:

-x + 4(3) = 12, or -x = 0.  Thus, x = 0, and the solution is

(0, 3)

Answer:

1/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

It would have to be 3, because it says that 1/3 is wrong.

Answer:

$13.35

Step-by-step explanation:

To find the amount of discount, multiply the discount rate by the usual price of the small TV.

discount rate * regular price

The discount rate is 15% and the regular price of the small TV is $89.00

15%*$89.00

15%*89

Convert 15% to a decimal by dividing 15 by 100, or moving the decimal place two spots to the left.

15/100=0.15

15.0-->1.5-->0.15

0.15*89

Multiply

13.35

The discount amount is $13.35

So the amount of discount is $13.35

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

Step-by-step explanation:

4. A = P + Prt

   a. Solve for r

    Prt = P - A

    r = (P - A)/Pt

    b. Solve for t

         Prt = P - A

           t = (P - A)/Pr

5. Ax + By = C

   a. By = C - Ax

        y = (C - Ax)/B

   b. Ax = C - By

       x = (C - By)/A

6. y = mx + b

   a. mx + b = y

       mx = y - b

       x = (y - b)/m

    b. mx + b = y

        mx = y - b

        m= (y - b)/x

   c. mx + b = y

       b = y - mx

Answer:

AB ≈ 7.83

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB }[/tex] = [tex]\frac{6}{AB}[/tex]

Multiply both sides by AB

AB × sin50° = 6 ( divide both sides by sin50° )

AB = [tex]\frac{6}{sin50}[/tex] ≈ 7.83 ( to the nearest hundredth )

Answer:

Find the volume of the sphere.  

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

The radius is 1

Volume = [tex]\frac{4}{3} \pi[/tex]  or 4.19

Step-by-step explanation:

Given

Radius, r = 1

Required

Find the volume of sphere

Volume of a sphere is calculated using the following formula

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

Where V = Volume and r = radius

By Substitution,

[tex]V = \frac{4}{3} \pi * 1^{3}\\\\V = \frac{4}{3} \pi * 1\\\\V = \frac{4}{3} \pi[/tex]

Solving further to get the numerical value of volume;

We have to substitute 3.14 for π

[tex]V = \frac{4}{3} * 3.14V = 4.1866[/tex]

V = 4.19 to the nearest hundredth

Answer:

4.19

Step-by-step explanation:

Answer:

its 52.5. I just did it on edge

Step-by-step explanation:

The area of the regular polygon is 52.5 in².

Area is the region bounded by a plane shape.

To calculate the area of the regular pentagon, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the regular polygon is 52.5 in².

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Answer:

18

Step-by-step explanation:

In order to solve this problem just divide 1/3 from 6. Multiply the reciprocals to get 6 times 3, which equals 18. This means that she can give 18 friends 1/3 pound of candy.

Hope this helps and stay safe !

Answer: 18 friends each get 1/3 pound of candy.

Step-by-step explanation: 6 ÷ 1/3 can be solved by inverting the divisor and multiplying. So it becomes 6 × 3 = 18

Answer:

x=12.8

Step-by-step explanation:

xy / 8 = 16 /10

xy = (8 * 16) / 10

xy = 12.8

Answer:

b,c,d

Step-by-step explanation:

I just did the assignment

Answer:

b, c. d

Step-by-step explanation:

Answer:

2.62lbs

Step-by-step explanation:

Answer:

=18.38cm

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .

Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.

We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,

so we have,

[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]

Now we can resume where we stopped with triangle AGC, and we have

[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]

=18.38cm

Answer:

a and e

Step-by-step explanation:

Answer:

1st is in II quadrant

2nd one is in IV quadrant

3rd one is on y axis as x = 0

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

Answer:

$1.09

Step-by-step explanation:

Answer:

The answer is A I JUST DID it

The cross section of the figure is Pentagon.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A plane intersects a pentagonal pyramid horizontally as shown.

Now, By the given figure,

The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.

Hence, It represent the Pentagon.

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Answer:

A.6

Step-by-step explanation:

Cause it is bisecting the line and that means the length is the same on both sides