4. Alex sold half of his video games and then bought five more. He
now has 22. With how many did he begin?

Answer:

the distance between them is decreasing at a rate of 2 mph.

Step-by-step explanation:

List all given rates and the unknown rate.

Write the formula that relates the variables in the problem: x, y, and s.

There’s a right triangle in the diagram, so you use the Pythagorean Theorem:

For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so

Differentiate with respect to t.

Use the Pythagorean Theorem again to solve for s.

x = 0.4

y = 0.3

You can reject the negative answer because s obviously has a positive length. So s = 0.5.

Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.

This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.

Answer:

the answer to this is 7 7/10

Answer:

4th option

Step-by-step explanation:

[tex]5\frac{1}{2}*1 \frac{2}{5}=\frac{11}{2} *\frac{7}{5} =\frac{77}{10}=7\frac{7}{10}[/tex]

Answer:

300

Step-by-step explanation:

Answer:

10 pallets would weigh 300 pounds

Step-by-step explanation:

6 pallets = 180 pounds

10 pallets = x pounds

Cross multiply;

6x = 1800

Divide both sides by 6;

x = 300

Answer:

15 cm

Step-by-step explanation:

6x5 divide by 2

Answer:

15 cm^2

Step-by-step explanation:

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy

x=15.96

x=17.6

x=11.81

x=12.23

Answer:no

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

Step 1: Subtract 8 to -10 because it is a positive

Step 2: Divide 2r by -18

Step-by-step explanation:

Answer:

8(x-4)=-64

8x-32=-64 +32

8x=-32 :8

x=-4

Step-by-step explanation:

prove me wrong

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount ([tex]C_{o}[/tex]), measured in monetary units, and week earning ([tex]R[/tex]), measured in monetary units, multiplied by a number of weeks ([tex]n[/tex]), dimensionless:

[tex]C =C_{o} + n\cdot R[/tex] (1)

Now we clear the number of weeks within the formula:

[tex]n = \frac{C-C_{o}}{R}[/tex]

If we know that [tex]C_{o} = \$\,145[/tex], [tex]C = \$\,450[/tex] and [tex]R = \$\,36[/tex], then the number of weeks is:

[tex]n = \frac{\$\,450-\$\,145}{\$\,36}[/tex]

[tex]n = 8.472[/tex]

Paul will have no more than $ 450 in next 8 weeks.

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(6,-2)

Equation Form:

x=6,y=-2

Step-by-step explanation:

The value of x is 6 and y is -2.

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead.

Given:

y=x-8..................(1)

y=2x-14.................(2)

Substitute the value of y from equation (1) to equation (2), we get

x-8 = 2x- 14

2x - x = -8 + 14

x = 6

and, y= x-8

y= 6-8

y= -2.

Hence, the value of x is 6 and y is -2.

Learn more about Substitution Method here:

https://brainly.com/question/14619835

#SPJ2

Answer:

y = - 5x + 8

Step-by-step explanation:

Given that :

Intercept = 8

Slope = - 5

Recall, the general. Slope - intercept equation :

y = bx + c

Where;

b = slope ; c = intercept

Plugging the Given slope and intercept values, equation becomes ;

y = - 5x + 8

Answer:

it going be b 65.75

Step-by-step explanation:

just did test

The total amount of money put down by Xi-ling monthly  is mathematically given as

y=65.75

Question Parameters:

Xi-ling has a net income that is 5% of her monthly salary of $2,315. Xi-ling would like to keep a net income of $50

Generally,  5% of her monthly salary   is mathematically given as

x=0.05*2315

x=115.75

Therefore, if she has a net income equal to 115.75

y=115.75-50

y=65.75

Xi-ling puts y=65.75 towards paying down debt each month.

For more information on Arithmetic

https://brainly.com/question/22568180

Answer:

.3

Step-by-step explanation:

2.7 divided by 9 is 0.3

Answer:

x=6

Step-by-step explanation:

first you subtract 7 and 7 and you also have to subtract 7 and 19 and the answer will be 12 then you divide 2 and 2 to make it only x so if you divide 2 and 2 you also have to divide the 12 so 12 divided by 2 equal 6 so the x is equal to 6

Answer:

2/4

Step-by-step explanation:

Answer:

Queen Messy here!

0.451

moving the decimals to the left when dividing (:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first one

Answer:

| - 16 |

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

Then

| 6 | = 6

| - 16 | = | 16 | = 16

Thus the largest number from the list is | - 16 |

Answer:

5.23 × 10 ^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

<ABC = 51°

Step-by-step explanation:

Given

<A = 2x -15°

<B = x - 5°

< C = 148°

Now

<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

2x -15° + x - 5° = 148°

3x - 20° = 148°

3x = 148° +20°

3x = 168°

x = 168° / 3

X = 56°

Now for Angle B

= 56° - 5°

= 51°

Hope it helps :)

Step-by-step explanation:

Diameter : 10

Radius : 5

Area :

[tex]\pi {r}^{2} = \pi{5}^{2} = 78.54[/tex]

Diameter: 18

Radius : 9

Area :

[tex]\pi {9}^{2} = 254.47[/tex]

Diameter: 11

Radius: 5.5

Area:

[tex]\pi {5.5}^{2} = 95.03[/tex]

Diameter: 12

Radius : 6

Area:

[tex]\pi {6}^{2} = 113.09[/tex]

Answer:

you in jacksonville

Step-by-step explanation:

Answer:

The area of circle 1 is 9 times greater than area of circle 2.

Step-by-step explanation:

Given that:

Radius of circle 1 = 12

Area of circle 1 = πr²

Area of circle 1 = [tex]3.14*(12)^2 = 3.14*144[/tex]

Area of circle 1 = 452.16

Radius of circle 2 = 4

Area of circle 2 = [tex]3.14*(4)^2 = 3.14*16[/tex]

Area of circle 2 = 50.24

Let,

x be the number of times circle 1 is bigger than circle 2.

Area circle 1 = x * Area circle 2

[tex]\frac{452.16}{50.24}=\frac{50.24x}{50.24}\\\\x=9[/tex]

Hence,

The area of circle 1 is 9 times greater than area of circle 2.

Answer:

They had no numeral for zero in their number system.

Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.

Step-by-step explanation:

make it braintliest please

Answer:

ummmmmmmm

0.4?