Bismah is building 5 raised garden beds in a community garden. Each raised garden bed will need 1 7 8 bags of soil. How many bags of soil will Bismah need for all 5 raised garden beds?

[tex]x+y=12\\\dfrac{x}{y+3}=\dfrac{1}{2}\\\\x=12-y\\2x=y+3\\\\2(12-y)=y+3\\24-2y=y+3\\3y=21\\y=7\\\\x=12-7=5\\\\\dfrac{x}{y}=\dfrac{5}{7}[/tex]

Answer:

Step-by-step explanation:

[tex]5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}[/tex]

Answer:

31/6 (improper fraction).

Step-by-step explanation:

5 1/6 = (6 × 5) + 1/6 = 31/6

31/6 is the improper fraction.

Answer:

[tex]\boxed{\sf 200 \ feet^2}[/tex]

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]

Plug in the values.

[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]

[tex]\sf SA=100 + 100[/tex]

[tex]\sf SA=200[/tex]

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear

Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.

For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.

This can therefore be done in 5C2 number of ways.

5C2 = 5!/(5-2)!2!

5C2 = 5!/3!2!

5C2 = 5*4*3*2*1/3*2*2

5C2 = 5*2

5C2 = 10 different ways

Hence the total possible outcome is 10

Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5

Answer:

15.56

Step-by-step explanation:

Total flour available=35 cups

Each cake=2 1/4 cups

Find how many cakes Pauline can bake with 35 cups of flour

Let the number of cakes she can bake with 35 cups of flour=x

x=35 cups / 2 1/4 cups

=35÷9/4

=35×4/9

=140/9

=15 5/9 cakes

=15.56 cakes approximately

Answer:

[tex]\huge\boxed{Step \ 3}[/tex]

Step-by-step explanation:

In Step # 3, We need to divide rather than to subtract. So, the first mistake is done in step 3.

Answer:

[tex]\Large \boxed{\mathrm{Step \ 4}}[/tex]

Step-by-step explanation:

[tex]20 +20 \div 4-2[/tex]

Division should be performed first, not subtraction.

[tex]20+5-2[/tex]

Answer:

Perimeter = 8x - 12

Step-by-step explanation:

The perimeter of a square is:

p = 4(side length)

on this case:

p = 4(2x-3)

p = 4*2x + 4*-3

p = 8x - 12

Answer:

34.5

Step-by-step explanation:

5 times x(2.3) = 11.5.

11.5 times 3 is 34.5

you put 2.3 in place of x because x was the unknown value, but now that we know it is 2.33 we plug it in.

Answer:

Step-by-step explanation:

The variation p varies directly with T is written as

p = kT

where k is the constant of proportionality

To find p when T =500 we must first find the formula for the variation

That's

when p = 105 and T = 400

105 = 400k

Divide both sides by 400

So the formula for the variation is

when

T = 500

Substitute it into the above formula

That's

[tex]p = \frac{21}{80} \times 500[/tex]

Simplify

The final answer is

Hope this helps you

Answer:

The unit price is $0.95 per pack.

Step-by-step explanation:

To find the unit price, we must find the price per pack of beaded necklaces.  To do this, we should divide the total price ($7.60) by the number of items in the package (8).

$7.60/8 = $0.95

Therefore, the answer is that the unit price is $0.95.

Hope this helps!

Answer:

x = -13

Step-by-step explanation:

2x-3x+5=18

Combine like terms

-x +5 = 18

Subtract 5 from each side

-x +5-5 = 18-5

-x = 13

Multiply each side by -1

x = -13

Answer:

[tex]\huge \boxed{{x=-13}}[/tex]

Step-by-step explanation:

[tex]2x-3x+5=18[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]-1x+5=18[/tex]

[tex]\sf Subtract \ 5 \ from \ both \ sides.[/tex]

[tex]-1x+5-5=18-5[/tex]

[tex]-1x=13[/tex]

[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]

[tex]-1x \times (-1)=13 \times (-1)[/tex]

[tex]x=-13[/tex]

Answer:

No solutions.

Step-by-step explanation:

7(2) + 39 > 53 and 16(2) + 15 > 31

14 + 39 > 53 and 32 + 15 > 31

53 >_ 53 but, 47 > 31 :/

So even with one the first equation is smaller.

Answer:

a 1000 times// just divide them

Answer:

10,000 times Larger

Step-by-step explanation:

To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.

86,000,000 / 8,600 = 10,000

Hence, the number 86,000,000, is 10,000 times larger than 8,600.

Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600.  Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare.  Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros.  This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple.  Once again, we see that 86,000,000 is 10,000 times larger than 8,600.

Cheers.

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

Work Shown:

3 & 1/2 = 3 + 1/2 = 3 + 0.5 = 3.5

3.5% = 3.5/100 = 0.035

r = 0.035 is the decimal form of [tex]3\frac{1}{2}\%[/tex] which is used along with

to get the following

A = P*(1+r/n)^(nt)

A = 500*(1+0.035/12)^(12*0.5)

A = 508.81405074594

A = 508.81

Extra info: Gabe earned A-P = 508.81 - 500 = 8.81 dollars in interest.

Answer:

Average = 2000

Step-by-step explanation:

Given numbers are:

1,000 2,300 2,600

To find:

First round off the numbers to nearest 1000 and then find Average.

Solution:

1000 is already in thousands so no need to round off.

To round off a number to nearest thousand, we need check the digit on hundred's place.

So, 2300 will be rounded off as 2000.

and 2600 will be rounded off as 3000.

Now, the numbers whose average is to be calculated are 1000, 2000, 3000.

Formula for average is given as:

[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]

applying the formula:

[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]

So, the average after rounding off to nearest 1000 is 2000.

Answer:

14000 pounds :)

Step-by-step explanation:

Answer:

14000 pounds

Step-by-step explanation:

Formula:

multiply the mass value by 2000

Answer:

Step-by-step explanation:

here,

132 degree + 54 degree + x + 90 degree = 360 degree ( angles around a point)

therefore ,

x+ 276 degree =360 degree

x = 360-276

x= 84 degree

hope it helps and pls do mark my answer as the brainliest.............

Complete question:

Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1

The function in the image is f(x) = 3^x-1

Answer:

A) 1

Step-by-step explanation:

To solve the exponential function above given that x = 1;

Substitute x = 1 into the exponential function

If x = 1

f(x) = 3^(x - 1)

f(1) = 3^(1 - 1)

f(1) = 3^0

f(1) = 1

Answer:

perimeter = 24

Step-by-step explanation:

it´s a regular hexagon = 6 sides

perimeter = 6(4x) = 24x

Answer:

The answer is

Step-by-step explanation:

[tex]1 \frac{2}{5} + \frac{3}{4} [/tex]

To solve the question first convert the mixed fraction to an improper fraction

That's

[tex]1 \frac{2}{5} = \frac{7}{5} [/tex]

So we have

[tex] \frac{7}{5} + \frac{3}{4} [/tex]

Find the LCM of the fractions

The LCM of 5 and 4 is 20

That's

[tex] \frac{7}{5} + \frac{3}{4} = \frac{7(4) + 3(5)}{20} = \frac{28 + 15}{20} [/tex]

[tex] = \frac{43}{20} [/tex]

= 2.15

We have the final answer as

Hope this helps you

Answer:

A.

Step-by-step explanation:

I used a graphing calculator to check

Answer:

A

f(x)=(x+2)/(x+1)

Answer:

Step-by-step explanation:

Let n and r represent the output in liters per hour of the Nguyen and Reed family sprinklers, respectively. Then we have ...

  15n +25r = 1175 . . . . total sprinkler output

  n + r = 55 . . . . . . . . . sum of two output rates

The second equation tells us we can substitute n = 55 -r into the first equation:

  15(55 -r) +25r = 1175

  10r = 1175 -825 . . . . . . subtract 825

  r = 350/10 = 35 . . . . . . divide by 10

  n - 55 -35 = 20 . . . . . . find n from r

Nguyen family's sprinkler: 20 L per hour

Reed family's sprinkler: 35 L per hour

Answer:

Problem 1)  frequency:  160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)

Problem 2) Runner B has the smallest period

Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.

Step-by-step explanation:

The frequency of the football player is 160 heartbeats per minute.

The period is (using the equation you showed above):

[tex]Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds[/tex]

second problem:

Runner A does 200 loops in 60 minutes so his frequency is:

[tex]\frac{200}{60} = \frac{10}{3} \approx 3.33[/tex]   loops per minute

then the period is: 0.3 minutes (does one loop in 0.3 minutes)

the other runner does 200 loops in 65 minutes, so his frequency is:

[tex]\frac{200}{65} = \frac{40}{13} \approx 3.08[/tex]   loops per minute

then the period is:

[tex]\frac{13}{40} =0.325\,\,\,minutes[/tex]

Therefore runner B has the smaller period

Answer:

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Step-by-step explanation:

The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Answer:

m∠D = 97.34°

Step-by-step explanation:

Concept used"

sum of all angles of Quadrilateral is 360 degrees.

If any Quadrilateral is inscribed in circles then sum of opposite angle of that Quadrilateral is 180 degrees

________________________________________________

Given

Quadrilateral ABCD is inscribed in a circle

thus,

pair of opposite angles will be

m∠A and m∠C

m∠B and m∠D

thus,

m∠B + m∠D = 180

Thus,

m∠A + m∠C = 180

64+  (9x - 1) = 180

9x = 180 - 63 + 1 = 118

x = 118/9 = 13.11

thus, value of

m∠B is (6x + 4)°

m∠B = (6*13.11 + 4)°  = 82.66°

m∠B + m∠D = 180

82.66 + m∠D = 180

m∠D = 180 - 82.66 = 97.34°

Thus,

m∠D is 97.34°

Answer:

Step-by-step explanation:

Convert 182 6/8 into improper fraction

[tex]182\frac{6}{8}=\frac{1462}{8}[/tex]

[tex]\frac{1462}{8}[/tex]÷ 3 =[tex]\frac{1462}{8}*\frac{1}{3}=\frac{1462}{24}[/tex]

= 60 22/24

Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

19) : -7x=5.6⇒ x=-5.6/-7

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80

Answer:

x = all real numbers.

Step-by-step explanation:

3 x minus 8 = negative x + 4 (x minus 2)

3x - 8 = -x + 4(x - 2)

3x - 8 = -x + 4x - 8

3x - 8 = 3x - 8

3x - 3x = -8 + 8

0 = 0

Since the result is a true statement, but 0 = 0, x is equivalent to all real numbers.

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Amount charges by plumber =  £ 167.00

Call out fee = £ 18.50

Charge excluding the call out fee = 167 - 18.50 = £ 148.50

Total hours worked = 9 hours

Charge per hour = charge excluding the call out fee ÷ total hours

                           = 148.50 ÷ 9

                          = £ 16.50

Answer:

10.5 pounds of apples

Step-by-step explanation:

4 devided by 14 = 3.5

3.5* 3 = 10.5