Leyan bought 2 3/4 pounds of apples for $1.32 per pound, 1 1/2 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63. . How much money did Leyan spend on tomatoes?

Answer:

36x + 24y = 423 (1)

41x + 38y = 585.75 (2)

x =$5.25

y = $9.75

Step-by-step explanation:

x = the number of student tickets sold

y = the number of adult tickets sold

36x + 24y = 423 (1)

41x + 38y = 585.75 (2)

Multiply (1) by 38 and (2) by 24

1368x + 912y = 16,074 (3)

984x + 912y = 14,058 (4)

Subtract to eliminate y

1,368x - 984x = 16,074 - 14,058

384x = 2,016

x = 2,016/384

x = 5.25

Substitute x = 5.25 into (1) to find y

36x + 24y = 423

36(5.25) + 24y = 423

189 + 24y = 423

24y = 423 - 189

24y = 234

y = 234/24

y = 9.75

x =$5.25

y = $9.75

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Ok so,

let's try to plug in the first ordered pair into the equation. It should look like this:

11 = 8+3

11=11      CORRECT

now let's try to plug in the second ordered pair. it should look like this:

-5 = -8+3

-5 = -5      CORRECT

hope this helps. have a good day!!

Answer: 7.81 feet

Step-by-step explanation:

This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.

This can therefore be solved by the Pythagorean formula:

c² = a² + b²

where ;

c = hypotenuse

a = height

b = length

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √61

c = 7.81 feet

Answer:

9 1/6

Step-by-step explanation:

=(35×3)+(10×6)6×3

=165/18

Simplifying 165/18, the answer is

=9 1/6

Answer:

[tex]q= -\frac{23}{8 }[/tex]

Step-by-step explanation:

hope this helps have a good rest of your day :) ❤

Answer:

Y = 0

Step-by-step explanation:

If x = 5 then 2x + y = 10 is 10 + y = 10 (2*5 = 10) and so 10 + 0 = 10. Y = 0

Answer:

163.485

Step-by-step explanation:

multiply 13.5 x 12.11

Answer:

5

Step-by-step explanation:

2*2 + 3*6 + 4*x + 5*8 + 6*1 = 84

4*x = 16

x = 4

Right, 8 is the biggest frequency

Answer:

=

Step-by-step explanation:

Answer:

5/5=1

Step-by-step explanation:

Answer:

[tex]54+\frac{5}{9}\times 54[/tex]

Step-by-step explanation:

We are given that

Loretta grew  watermelons in her garden last year=54

We have to find the expression which shows the number of watermelons Loretta grew this year.

To find the expression which shows the  number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .

According to question

5/9 of 54=[tex]\frac{5}{9}\times 54[/tex]

Therefore, the expression which shows the  number of watermelons Loretta grew this year

=[tex]54+\frac{5}{9}\times 54[/tex]

Answer:

We should invest in 7.74% compounded daily as it yields a higher return.

The total investment after 10 years is $10,841.22.

Step-by-step explanation:

a.) at 7.74% compounded daily

[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]

I assumed there are 365 days in a year.

b.) at 7.8% compounded quarterly

[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]

9514 1404 393

Answer:

  all real numbers

Step-by-step explanation:

Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."

__

The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.

Answer:

1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²

2 / Find the area of an isosceles Δ DEF:

The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft

So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²

3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²

Step-by-step explanation:

Answer:

(-4, -8)

Step-by-step explanation:

x - 5y = 36; 2x + y = -16

first, rearrange the first equation by adding 5y to both sides to isolate x

x = 5y + 36

then plug that in for x in the second equation and solve for y:

2(5y +36) + y = -16               distribute 2 to (5y + 36)

10y + 72 + y = -16                 combine like terms by adding 10y and y

11y + 72 = -16                        subtract 72 from both sides

11y = -88                                divide both sides by 11

y = -8

next, plug y in and solve for x

x - 5(-8) = 36

x + 40 = 36                          subtract 40 from both sides

x = -4

finally, check the solution by plugging x and y into both equations to see if they equal the expected value

(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓

2(-4) + (-8) = -8 -8 = -16 = -16 ✓

Answer:

8^2*(2+6)/4= 64*8/4 = 512/4 =128

Answer:

128

Step-by-step explanation:

First add 2+6 because it's in parenthesis

Second, square 8 and get 64

third, multiply 64 times 8

last divide 64 times 8 (which is 512) by 4

USE PEMDAS OR GEMS TO DECIDE THE ORDER

GEMS:

G- groups (parenthesis)

E- exponents

M- multiplication and division (go in order of what comes first in equation)

S- subtraction and addition  (go in order of what comes first in equation)

Answer: B

Step-by-step explanation:

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

Explanation:

There are two approaches.

The slightly longer approach will have us take 6% of 420 to get 0.06*420 = 25.20

So 25.20 is the amount of tax you pay on top of the original $420. The total bill is 420+25.20 = 445.20 dollars

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

The shortcut is to multiply 420 by 1.06 to get 420*1.06 = 445.20

The 1.06 multiplier indicates an increase of 6%

We can think of it it as 1.06 = 1 + 0.06 = 100% + 6%

Answer:

2^4·3²·5²  = 3600

Step-by-step explanation:

7x(4x-5)

Distribute

28x^2-35x

Ans : 28x^2-35x

Answer:

28x - 5

Step-by-step explanation:

coeffecients with the same variable can be multiplied added subtracted divided so i multiplied 7 and 4 because they have the same variable which is X so it would be 28x and you can't multiply 7x by 5 because it doesnt have a variable consider multiplying if it has the same variable when it has a variable. so it would just be 28x - 5

Answer:

Step-by-step explanation:

8/9

1/3= 3/9

8/9 / 3/9

8x 9

9   3

8x9=72

9x3=27

72/27=2.666666

Liam can make 2 action figures

Answer:

402.66666666667

Step-by-step explanation:

Answer:

(2, -2)

Step-by-step explanation:

its positive 2 on the x axis and negative 2 on the y axis

Answer:

96.

Step-by-step explanation:

4*4*3 = 48

2 * 48

= 96

Answer:

6.644

Step-by-step explanation:

3 hours of soccer to 5 hours of piano

It would be written as 3:5

Answer:

3:5 or 3/5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A has the rate of change of 3

B has the rate of change of 5

C has the rate of change of 9

D has the rate of change of 20

sorry i had the wrong answer...

Answer:

9 cm

Step-by-step explanation:

The cube has 6 square faces.

Divide surface area by 6 to find area of 1 face

area = 486 ÷ 6 = 81 cm²

The area of a square = s² ( s is the side length ) , then

s² = 81 ( take the square root of both sides )

s = [tex]\sqrt{81}[/tex] = 9 cm

Answer:

Step-by-step explanation:

x³y² = x * x * x * y * y

x²y³ = x * x     * y  *y * y

GCF = x * x * y * y = x²y²

x³y² - x²y³ = x²y² ( x - y)