x2 + y2 = 13
x² - y2 = -16
Solve

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{3} \times (15 + 6)}[/tex]

Add the numbers : 15 and 6

[tex] \dashrightarrow{ \sf{ \frac{1}{3} \times 21}}[/tex]

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

[tex] \dashrightarrow {\sf{ \frac{1 \times 21}{3 \times 1}}} [/tex]

[tex] \dashrightarrow{ \sf{ \frac{21}{3} }}[/tex]

[tex] \dashrightarrow{ \sf{7}}[/tex]

Hope I helped!

Best regards! :D

The value of Expression 1/3 x (15+6) on simplification gives 7.

To simplify the expression 1/3 x (15+6),

we start by simplifying the addition inside the parentheses.

=15 + 6

= 21

Now, we can multiply the result by 1/3:

= 1/3 x 21

= 21/3

= 7

Therefore, 1/3 x (15+6) simplifies to 7.

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Answer:

Its true.

Step-by-step explanation:

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

Answer:

C

Step-by-step explanation:

I took the test

hope this helps you :)

Answer:

the mid point is ( 3, -1 )

Step-by-step explanation:

the x axis it's 3 and for the y axis is -1

Answer:

195/8v or 24.375v

Step-by-step explanation:

Answer:

.7 or 70%

Step-by-step explanation:

17/30 + 17/25 + 38/50 + 18/25 = 2.727

2.727 divided by 4 (the amount of addends) = .7

Answer:

68%

Step-by-step explanation:

To find the average quiz grade, you have to add up all the percentages and divide by the numbers of scores you have.

56 + 68 + 76 + 72 = 272

272 ÷ 4 = 68

Hope this helps! <3

Answer:

tom

Step-by-step explanation:

Answer:

ye s1.8x10-4 is greater than 7.2x10-1

Step-by-step explanation:

The number 1.8*10⁻⁴ is smaller, not larger than 7.2*10⁻¹

We have two numbers in scientific notation, these are:

1.8*10⁻⁴

7.2*10⁻¹

We want to see if the first one is larger than the second one. This is trivial to notices, because the exponent in the first number is 3 orders of magnitude smaller than the other exponent, then the first number is smaller than the second, not larger.

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Answer:

Step-by-step explanation:

19 minutes and 16 seconds . because there are 60 minutes in every degree . and 60 seconds in every minute. so, if you take 0.3185 x 60 = 19.11 minutes . —-> 19.11 min. x 60 = 6.6 seconds .

so therefore the answer is 19 min. &’ 16 seconds ur welcome

Answer:

23 min 6 seg

Step-by-step explanation:

0,3185º =

0,3185*60 min = 23,1 min =

23 min + 1/10 de min

1/10 de min = 1/10 * 60 seg = 60/10 = 6 seg

Answer: 2.2 miles.

Step-by-step explanation:

I guess that we want to find the distance between Lori's and Andrea's houses.

First, we have the locations:

L = (-3, 7)

A = (-3. -4)

To find the distance (in units) between two coordinate points (a1, a2) and (b1 b2) we can use the formula:

Distance = I (a1, a2) - (b1, b2)I = √( (a1 - b1)^2 + (a2 - b2)^2)

Then in this case we have that:

Distance = √( ( -3 -(-3))^2 + (7 - (-4))^2) = √( 0 + 11^2) = 11

The distance between their houses is 11 units.

And we know that each unit represents 0.2 miles, then 11 units represent 11 times that amount, the distance in miles will be:

D = 11*0.2 miles = 2.2 miles.

Answer: A) x + 4x = 35;  7 large stones and 28 small stones

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

Explanation:

x = number of large stones

4x = number of small stones

x+4x = total number of stones = 35

x+4x = 35 is the equation to solve

-----------

Let's isolate x

x+4x = 35

5x = 35

x = 35/5

x = 7 large stones are needed

4x = 4*7 = 28 small stones are needed

Answer:

length = [tex]8\frac{1}{6}[/tex] inches

Step-by-step explanation:

A rectangle is a quadrilateral which has opposite sides to be equal.

Area of a rectangle = length × width

Given that: Area = [tex]36\frac{3}{4}[/tex] square inches, width = [tex]4\frac{1}{2}[/tex] inches, length = l. Thus;

[tex]36\frac{3}{4}[/tex] = l × [tex]4\frac{1}{2}[/tex]

[tex]\frac{147}{4}[/tex]  = l × [tex]\frac{9}{2}[/tex]

divide both sides by [tex]\frac{9}{2}[/tex],

l = [tex]\frac{147}{4}[/tex]  ÷  [tex]\frac{9}{2}[/tex]

 = [tex]\frac{147}{4}[/tex]   x [tex]\frac{2}{9}[/tex]

 = [tex]\frac{49}{6}[/tex]

l  = [tex]8\frac{1}{6}[/tex]

Therefore, the length of the rectangle is [tex]8\frac{1}{6}[/tex] inches.

Answer:

So it will take them 1 day 6 hours and 39 minutes to paint one small house.

Step-by-step explanation:

Henry can paint 1 small house in 3 days so he can paint 1/3 or .3333 in a day

Ruby can paint 1 small house in 4 days so she can paint 1/4 or .25 in a day

Charlie can paint 1 small house in 5 days so he can paint 1/5 or .2 in a day

Together, that means they pain .3333 + .25 + .2 of a house per day. That's an daily rate of:

.3333 + .25 + .2 = .78333

The portion of the house they clean in x days is .78333x. We'd like to know how long it will take them to paint 100% or 1 of the house. So:

.78333x = 1   Divide each side by .78333

x = 1/.78333

x ≈ 1.277

Let's convert .277 to hours by multiplying by 24

.277 * 24 = 6.65

Let's convert .65 to minutes by multiplying by 60

.65 * 60 = 39

So it will take them 1 day 6 hours and 39 minutes to paint one small house.

Answer:

1.277 days

Step-by-step explanation:

H paint .3333 a day  R paint .25 a day  Charlie paint .2 a day

.3333 + .25 + .2 = .78333

x is number of days to paint.

.78333x = 1  

x = 1/.78333  = 1.277

 1.277 days

Answer: The answer is B

Step-by-step explanation:

Answer:

4 dozen(48)

Step-by-step explanation:

216/dozen(12) =18 dozen(12)

7x2 dozen = 14 dozen

18 dozen - 14 dozen = 4 dozen(48)

Answer:

4

Step-by-step explanation:

Two dozens = 12 × 2 = 24

24 × 7 = 168

216 - 168 = 48

48 ÷ 12 =4

Answer:

147

Step-by-step explanation:

82+9(12÷3×2)-7

82+9(4×2)-7

82+9(8)-7

82+72-7

154-7

147

Follow PEMDAS

The simplified values of the expression is 97.

First we will solve what is inside the brackets that too in 1st 2nd and 3rd bracket order then we will divide after that we will multiply then we will add then subtract.

The given equation is

82 + 9 (12 ÷ 3×2) - 7

Here we will follow BODMAS rule

BODMAS stands for Brackets of order division multiplication addition and substraction. In this order we will solve our expression

82 + 9 (12 ÷ 3×2) - 7

= 82 + 9(12 ÷ 6) - 7

= 82 + 9(2) - 7

=82 + 18 - 7

=100 - 7

= 97

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Answer:

49 ft

Step-by-step explanation:

h=−16(t−14)^2+49

The path of the marshmallow is an inverted parabola. It has symmetry with respect to its vertical axis.

We take the derivative of the height function.

dh/dt = -32(t - 14)

dh/dt = -32t + 448

We set the derivative equal to zero ti find the value of t corresponding to a maximum value of h.

-32t + 448 = 0

-32t = -448

t = 14

Maximum height occurs at t = 14 seconds.

h=−16(t−14)^2+49

t = 14

h=−16(14−14)^2+49

h = 49

Maximum height is 49 feet.

Answer:

5 I think because don't you divide

Answer 150β

10 times 15

Answer:

(2x-5)feet

Step-by-step explanation:

The area of the rectangular garden A = Length × Width

Given the area A(x) = 2x² - 21x + 40

And the width =x-8 feet

To get the length, we will simply factorise the area function as shown;

You will just factorise the area

Factorizing 2x² - 21x+40

2x² − 21x + 40

2x² -16x - 5x + 40

2x(x - 8) -5(x - 8)

=(2x−5)(x−8)

Hence the length of the garden is

(2x-5)feet

Answer:

The result can be shown in multiple forms.

Exact Form:

p= - 13/19

Decimal form:

p= - 0.68421052...

Answer:

$6

Step-by-step explanation:

A=P(1+i.n)

A=200(1+0.01.x 3)

A=206

Thus 206 - 200 = $6

You will earn $6 in interest.

The interest you will earn per year is:

= Interest rate x Amount deposited

= 200 x 1%

= $2

Because it is simple interest, you will earn the same amount of interest every year. In 3 years you will have:

= Interest per year x number of years

= 2 x 3

= $6

You will therefore earn $6 in interest.

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Answer:

x[tex]\geq[/tex]-3 and x<4

Step-by-step explanation:

5x[tex]\geq[/tex] -15 and 3x<12

x[tex]\geq[/tex] -3 and x<4

Now you just need to graph it :)

Answer:

[tex]E = 30 \times H[/tex]

$570

Step-by-step explanation:

Given that:

For each hour of tutoring, Lena earns 30 dollars.

E is her earning and

H is the number of hours for which she tutors.

To find:

Equation relating E to H.

Solution:

Let Lena tutors for 1 hour, then the earning = 30 dollars

Let Lena tutors for 2 hours, then the earning = 30+30 OR 2[tex]\times[/tex]30 = 60 dollars

Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3[tex]\times[/tex]30 = 90 dollars

If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.

[tex]E = 30 \times H[/tex]

So, the equation that relates E to H is given as:

[tex]E = 30 \times H[/tex]

Now, it is given that she tutors for 19 hours.

Let us put H = 19 hours in the above equation:

[tex]E = 30 \times 19 \\\Rightarrow E = \$570[/tex]

Therefore, the earning for 19 hours of tutoring is 570 Dollars.

The total number of pots will be 1¹/₄.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that at lunchtime, a cafeteria served a total of 3/8 of a pot of chicken soup and 7/8 of a pot of onion soup.

The total number of pots will be calculated as:-

E = 3/8 + 7/8

E = 10 / 8

E = 5 / 4

E = 1¹/₄

Hence, the total number of pots will be 1¹/₄.

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Answer:

  4000

Step-by-step explanation:

40% of the number is 15% more of the number than 15% of the number is. So, 600 is 15% of the number.

  600 = 0.15n

  600/0.15 = n = 4000

The number is 4000.

__

Check

40% of 4000 is 1600. 25% of 4000 is 1000. 1600 is 600 more than 1000.

Answer:

The total height of the climbing wall is 12 feet

Step-by-step explanation:

The given parameters are;

The star of the climbing wall = On the gym basement

The height of the gym's basement above the ground level = 9 feet

The height to which the wall extends above the ground level = 21 feet

The total height of climbing the wall = 21 - 9 = 12 feet

The start of the climbing wall is at the gym's basement level which is already 9 feet above the ground level, therefore, given the the height of the wall is 21 feet above ground level, with wall situated already at 9 feet above ground level which gives the total height of the climbing wall will be 21 - 9 feet or 12 feet.

Answer:

3.84

Step-by-step explanation:

 ((24) + 5(12) + 10(10) + 25(8)) ÷ 100 = (24 + 60 + 100 + 200) ÷ 100 Multiply.

                                                        = (384) ÷ 100                                 Add.

                                                        = 3.84                                         Divide.

Answer:

1.0738 x 10^-2

Step-by-step explanation:

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