Sally bought 7.8 pounds of fruit for a class party. The class ate 7 pounds of the fruit. How much fruit is left?

[tex]\sf \longmapsto45 - 4x = 75 - 6x[/tex]

[tex]\sf \longmapsto45 - 75 =- 6x + 4x[/tex]

[tex]\sf \longmapsto -30 =- 2x[/tex]

[tex] \sf \longmapsto \frac{ 30}{2} = x [/tex]

[tex]\sf \longmapsto 15 = x[/tex]

[tex]\sf \longmapsto \: x ≈15[/tex]

=> 45 - 4x = 75 - 6x

=> 45 - 75 = -6x + 4x

=> -30 = -2x

=> x = 30/2

=> x = 15

Answer:

2x-y=0

Step-by-step explanation:

By using two points form:

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

x1=-1 , x2=2 , y1=-2 ,y2=4

Substitute the values in the formula above:

[tex]\frac{y+2}{4+2}[/tex]=[tex]\frac{x+1}{2+1}[/tex]

[tex]\frac{y+2}{6}[/tex]=[tex]\frac{x+1}{3}[/tex]

2(x+1)=y+2

2x+2=y+2

2x-y=0

Answer:

{g,h} = {-9/5,32/5}

Step-by-step explanation:

h = 2g + 10

3g + (2g+10) = 1

[1]    5g = -9

5g = - 9  

g = - 9/5

g = -9/

h = 2g+10

h = 2(-9/5)+10 = 32/5

{g,h} = {-9/5,32/5}

Answer:

75/4

Step-by-step explanation:

b+2/3=11/4

3b+2/3=11/4

3b+2=11×3/4

3b=33-2/4

3b=33-8/4

3b=25/4

b=25×3/4

b=75/4

The solution of the linear equation b + 2/3 = 1 ¹/₄ will be 7 / 12.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

b + 2/3 = 1 ¹/₄

Convert the mixed fraction into a fraction number, then we have

b + 2/3 = 5/4

Simplify the equation, then we have

b = 5/4 - 2/3

b = 7/12

The solution of the equation b + 2/3 = 1 ¹/₄ will be 7 / 12.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

about 14 to 15 hours if it burns at that speed while it is burning

Answer:

17.5

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]

Answer:

10: (10×0.15)+3.50:$5

15: (15×0.15)+3.50:$5.75

20:(20×0.15)+3.50: $6.50

25:(25×0.15)+3.50: $7.25

Answer:

10 days: $5 fee

15 days: $5.75 fee

20 days: $6.5 fee

25 days: $7.25 fee

Step-by-step explanation:

General Formula

Total fee = 3.5 + days late x 0.15

------

Total fee for 10 days = 3.5 + 10*0.15 = 5

Total fee for 15 days = 3.5 + 15 * 0.15 = 5.75

Total fee for 20 days = 3.5 + 20 * 0.15 = 6.5

coordinates for the answers:

Since days is the x axis and y axis is the fee then

(10, 5)

(15, 5.75)

(20, 6.5)

(25, 7.25)

Answer:

Use Pythagorean theorm.

a^2 + b^2 = c^2 (c is hypotenuse).

Let c = 5+b (because in the question it says the hypotenuse is one leg plus 5 more meters) ; we will solve for b and say it's the leg we don't know.

We will say A is the "other leg" we know, which is 6.

6^2 + b^2 = (5+b)^2

We get b = 1.1

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

Answer:

H is the height

Step-by-step explanation:

A= Area

B= Base

1/2= 0.5

Answer:

$1,104

Step-by-step explanation:

If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.

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

[tex] \rightarrow [/tex] 1,200 x (100% - 8%)

[tex] \rightarrow [/tex] = 1,200 x 0.92

[tex] \rightarrow [/tex] = 1,104

Answer:

9.6

Step-by-step explanation:

20%of 8=8*20/100 =1.6 and the new price of the cashews is1. 6+8=9.6

"sam places 3850 in a bank account that pays 1.3% simple interest per year and how much interest will she earn in 6 years | Wyzant Ask An Expert" https://www.wyzant.com/resources/answers/646803/sam-places-3850-in-a-bank-account-that-pays-1-3-simple-interest-per-year-an3850

Answer:

$125 per month

Step-by-step explanation:

Step-by-step explanation:

the second option.

you see that the steeper line has a slope of -3 (when x increases by 1 grid point, y decreases by 3 grid points, that makes the slope ratio of y/x = -3/1 = -3).

the slope is always the factor of x in an equation of

y = ax + b

the only equation provided in the answer options with slope -3 is

-y <= 3x + 4

because when we transform this into the general firm above, we need to multiply both sides by -1 (which flips the inequality symbol, by the way) :

y >= -3x - 4

there you have it. no other equation here can be transformed into this.

as a control we also look at the second equation :

-3x + 3y <= -9

3y <= 3x - 9

y <= x - 3

this has a slope of 1 (so, x and y both increase by the same amount), and the y-inteecept is -3 (the y value when x = 0). that also fits the graph.

so, it is all correct.

Answer:

a) rs 3000

b) rs 16800

a) rs 1600

b) rs 4000

Answer:

1799.08748

Rounded version: 1799

Step-by-step explanation:

Report me if its wrong mark me Brianliest if its right.

Answer: 35 bran muffins can be made with 2 1/3 cups of flour.

leave a thanks if helped pls <3

Answer:

I don't know but

1+2=3

3+3=6

6+4=10

10+5=15

if this helps you make any sense of it.. tell me

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

The explicit formula for the nth term of the sequence id 1/2n(n+1).

So for, example, the 6th term =  1/2*6(6+1)

= 21.

They all fit exactly into equilateral triangles.

Answer:

3.333 recurring

Step-by-step explanation:

Add and divide for the mean

Answer:

refer to the pic attached for steps

Answer:

12

Step-by-step explanation:

the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon

so here 180n-360=150n

30n=360

n=12

Answer:

y = (2/3)x - 2

Step-by-step explanation:

This problem is interesting in that both the x- and the y-intercepts are given.  The y-intercept is (0, -2), and so 'b' in 'y = mx + b' must be -2:

y = mx - 2.  The x-intercept is (3, 0), so we know that y = 0 when x = 3:

0 = m(3) - 2

This latter result must be solved for m:  3m = 2, or m = 2/3.

Then the desired equation is y = (2/3)x - 2.

Answer:

B

Step-by-step explanation:

When looking at cordinate points for functions, to be a function, the X-Values cannot come up more than once. B is the only one where there is no repeating X-value, so it is a function.

Hope this helps!!

What am I supposed to help with. You didn't put anything.

A rectangular rug divided by its diagonal becomes a right angle triangle

The length and width of the rug is 14.1 feet by 11.1 feet

Diagonal = 18 feet

width = x

length = x + 3

diagonal ² = length ² + width ²

18² = x² + (x + 3)²

18² = x² + x² + 6x + 9

324 = 2x² + 6x + 9

2x² + 6x + 9 - 324 = 0

2x² + 6x - 315 = 0

solve using quadratic formula

x = - b ± √b² - 4ac / 2a

= - 6 ± √6² - 4×2×-315 / 2×2

= -6 ± √36 - (-2520) / 4

= -6 ± √36 + 2520/4

= -6 ± √2556 / 4

= - 6 ± 6√71 / 4

= -6/4 ± 6√71 / 4

= -3/2 ± 3√71/2

x = 11.1392 or -14.1392

The value of x can't be negative

So,

x = 11.1 to the nearest tenth

Therefore, the value of width and length is

width = x

= 11.1 feet

length = x + 3

= 11.1 + 3

= 14.1 feet

Learn more about Pythagoras theorem:

https://brainly.com/question/20545047

[tex]3x + 2x = 35 \\ 5x = -35 \\ x = 7 \\ 3x = 3 \times 7 = 21 \\ 2 x \: \: \: \: 2 \times 7 = 14 \\ 21 \: and \: 14 \: answer[/tex]