Dr. Green has to multiply the weight of the team's bug spray bottles, 7 x 90 grams. To solve this, he writes out the equation 7 x 9 x 10. Why does this strategy work?

Answers

Answer 1

Because 9 × 10 equals 90

Then 7×90=7×9×10


Related Questions

A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

Answers

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

there are 63 students marching in a band, and they're marching in 7 rows how many students are in each row

Answers

Answer:

9 people per row

Step-by-step explanation:

63/7=9

let me now if right

63/7 =9
So because all students are 63 you have to divide the 63 into rows and then you’ll find out how many students are in a row

The digits of a 2 digit number differ by 3. Is the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the number?

Answers

Answer:

58

Step-by-step explanation:

Hello, let's note the two digits a and b. the first number 'ab' can be written as 10a +b. For instance if this is 24 it can be written 20 + 4.

If the digits are interchanged the number become 'ba' so 10b + a

We can say that 10a + b + 10b + a = 143

11(a+b)=143

We divide by 13 both sides and we take

a+b = 143/11 = 13

and we know that the digits differ by 3 so b = a + 3

then a + b = a + 3 + a = 2a + 3 = 13

so 2a = 10 and then a = 5

Finally, b = 5+3=8 so the number is 58.

And we can verify that 58 + 85 = 143.

Thanks

Answer:

Let the unit digit be x and tens digit be x + 3

Therefore, the original number = 10(x + 3) + x

On interchanging, the number formed = 10x + x + 3

❍ According to Question now,

➥ 10(x + 3) + x + 10x + x + 3 = 143

➥ 10x + 30 + 12x + 3 = 143

➥ 22x + 33 = 143

➥ 22x = 143 - 33

➥ 22x = 110

➥ x = 110/22

x = 5

__________________...

Therefore,

The unit digit number = x = 5

The tens digit number = x + 3 = 5 + 3 = 8

__________________...

The original number = 10(x + 3) + x

The original number = 10(5 + 3) + 5

The original number = 50 + 30 + 5

The original number = 85

Hence,the original number is 85.

Which equation represents the line that is perpendicular to y=1/4 and passes through (-6,-9)?

Answers

Answer:

perpendicular means

m1 = 1/4

m2= -1/(1/4)

= -4 (Perpendicular slope)

(-6,-9) = (x1,y1)

so,

y-y1 = m (x-x1)

y-(-9)= -4 (x-(-6))

y+6 = -4 (x+6)

y+6 = -4x-24

y= -4x-24+6

y= -4x-18

hope it helps ^°^

Answer:

[tex]\displaystyle \boxed{y = -4x - 33}[/tex]

Step-by-step explanation:

[tex]\displaystyle y = \frac{1}{4}x[/tex]**

Now, perpendicular equations have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so [tex]\displaystyle \frac{1}{4}[/tex]becomes −4 and you do the following:

−9 = −4[6] + b

24

[tex]\displaystyle -33 = b \\ \\ y = -4x - 33[/tex]

I am joyous to assist you at any time.

simplfy the given equation using the distributive property 5x + 2(x - 3) = -2(x - 1)

Answers

Answer:

     x = [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

5x + 2 (x - 3) = -2 (x - 1)

  5x + 2x - 6 = -2x +2

5x + 2x + 2x = 2 + 6

               9x = 8

                 x = [tex]\frac{8}{9}[/tex]

Answer:

The value of x in the given equation is 0.89

Step-by-step explanation:

5x + 2(x - 3) = -2(x - 1)

Distribute 2 to (x - 3)

5x + 2x - 6 = -2(x - 1)

Distribute 2 to (x - 1)

5x + 2x - 6 = -2x + 2

Combine 5x and 2x on the left side of the equation.

7x - 6 = -2x + 2

Add 6 on both side of the equation.

7x = -2x + 8

Add 2x on both sides of the equation.

9x = 8

Now divide 9 from 8. Make sure you round the decimal because the quotient of these numbers is a repeating decimal.

x = 0.89

So, the value of x is 0.89

Is 7 a solution of 5x - 3 = 12?

Answers

Answer:

no

Step-by-step explanation:

5x - 3 = 12

5x=12+3

x=15/5=3

x=3

substitute x with 7 to find if it is a solution :

5(7)-3=12

35-3 ≠12 ( so no 7 is not a solution)

David hikes 2 1/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 miles?

Answers

Answer:

1 hour= 4.5 miles

18 miles= 4 hours

Step-by-step explanation:

what does -5/7 x 1/5 equal?

Answers

Answer:

The answer is -0.04

Step-by-step explanation:

Which graph represents a function?

Answers

Answer:

The first Answer:

Step-by-step explanation:

The x-values are not the same on one line:

Image

The line connecting isn't perfect but see what I mean?

jessica weighs x+34 pounds and Ronda weighs 12 pounds less. If Jessica gains 5 pounds and Ronda loses 2 pounds, what is the sum of their new heights.

Answers

Answer:

2x+59.

Step-by-step explanation:

Let J represent Jessica's weight and R represent Ronda's weight.

Jessica weighs x+34 pounds. Thus:

[tex]J=x+34[/tex]

Ronda weighs 12 pounds less than Jessica. In other words:

[tex]R=J-12=(x+34)-12\\R=x+22[/tex]

The sum of their weights, therefore, is:

[tex]J+R\\=(x+34)+(x+22)=2x+56[/tex]

Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:

[tex]2x+56+3=2x+59[/tex]

The sum of the new [weights] is represented by 2x+59.

14 POINTER IF YOU HIT THE BULLSEYE!!!!! HELP!
Billy, Bob, and Joe found a question in their test that said this and they NEED HELP!!!!! with flying promises to give brainliest they now wait.......

Answers

Answer:

mean would decrease

Step-by-step explanation:

Of the 40 specimens of bacteria in a dish, 3 specimens have a certain trait. If 5 specimens are to be selected from the dish at random and without replacement, which of the following represents the probability that only 1 of the 5 specimens selected will have the trait?1) (5/1)/(40/3)
2) (5/1)/(40/5)
3) (40/3)/(40/5)
4) (3/1)(37/4)/(40/3)
5) (3/1)(37/4)/(40/5)

Answers

Answer:

[tex]\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]

Step-by-step explanation:

The total number of ways in which 5 specimens can be selected from the  dish at random is given as C(40, 5).

Since only one of the five specimens would have the trait, the number of ways of selecting the one specimen out of the 3 specimens with the trait is C(3, 1).

3 specimens have the trait therefore 37 specimens (40 - 3) do not have the trait. The number of ways in which the remaining 4 specimens out of the 5 spemimens that do not have the trait is C(37, 4).

Therefore, the probability that only 1 of the 5 specimens selected will have the trait = [tex]\frac{C(3,1)*C(37,4)}{C(40,5)} =\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]

88 feet/second = 60 miles/hour. How many feet per second is 1 mile? (Hint: divide both side of the equation by the same amount.)

Answers

Answer:

1 mile/hour is equivalent to 1.47 feet/seconds

Step-by-step explanation:

Given

[tex]88 ft/s= 60 miles/hr[/tex]

Required

Determine the equivalent of 1 mile/hour

[tex]88\ ft/s= 60\ miles/hr[/tex]

Express 60 as 60 * 1

[tex]88\ ft/s= 60 * 1\ mile/hr[/tex]

Divide both sides by 60

[tex]\frac{88\ ft/s}{60}= \frac{60 * 1\ mile/hr}{60}[/tex]

[tex]\frac{88\ ft/s}{60}= 1\ mile/hr[/tex]

Reorder

[tex]1\ mile/hr = \frac{88\ ft/s}{60}[/tex]

Divide 88 by 60

[tex]1\ mile/hr = 1.46666666667\ ft/s[/tex]

Approximate to 3 significant figures

[tex]1\ mile/hr = 1.47\ ft/s[/tex]

Hence;

1 mile/hour is equivalent to 1.47 feet/seconds

Whats the volume of a ball if diameter is 17

Answers

Answer:

818.8333333 *pi

or

Using the pi button on the calculator

2572.440785

Using 3.14 for pi

2571.13666666

Step-by-step explanation:

We need the radius

r = d/2

r = 17/2 = 8.5

We can find the volume using

V = 4/3 pi r^3

V = 4/3 pi ( 8.5)^3

V =818.8333333 *pi

  Using the pi button on the calculator

2572.440785

Using 3.14 for pi

2571.13666666

WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a car. if they work together for 1 hour and then machine b breaks, how much additional time will it take machine b to finish the job? please use the method 1/x+1/y=1/z

Answers

Answer:

It will take Machine A 20 additional minutes.

Step-by-step explanation:

First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.

Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:

5/6 + 1/2x = 1

1/2x = 1/6

x = 1/3 hours = 20 minutes

Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.

Hope this helps! And let me know if you have any questions!

help me im dangered plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

A

Step-by-step explanation:

Hi!

An exponent is the same thing as just multiplying the expression by itself the number of times the exponent says. So we need to multiply 1/3 by itself three times.

1/3 * 1/3 * 1/3 = 1/27

the answer to your question is A

I need Helpppp quick!!!!

Answers

Answer:

G

Step-by-step explanation:

let his fixed price be x and his hourly fee be y;

270 = 4y + x

420 = 7y + x

x is common in both equations

equate the two;

x = 270-4y and x = 420-7y

270-4y = 420-7y

3y = 150

y = 50

x = 270-4*50

x = 70

give area of a rectangle measuring 12 ft by 9ft and please show all the work

Answers

Answer:

Area= 108ft²

Step-by-step explanation:

To find the area of a rectangle, you must do the following formula:

Area= Length × Width

A represents Area

L represents Length

W represents Width

Because the length (length is always longer than width) is 12 ft and the width (width is always shorter than length) is 9 ft. Your equation should be:

A= L × W

= 12ft × 9ft

= 108 ft²

Remember: The answer to a question asking for the area of a shape that is 2D, is always squared (let x represents the answer: x²). And the question asking the area of a shape that is 3D always cubed (let x represents the answer: x³). Always write the unit of measurement (let x represent the answer and cm as the example of unit of measurement: x cm²)

I hope this helps! I'm sorry if it's too complicated.

Jorge walked 25 steps north. then he walked 75 steps south what is Jorges final position ​

Answers

Answer:

If Jorge goes up 25 (positive) and then goes 75 steps south (negative). Then you have to calculate 25-75. This equals -50. We know negative distance is south so he's final position will be 50 steps south.

Step-by-step explanation:

solve 15x²+8x+1÷ 2x-y​

Answers

Answer:

\frac{\left(5x+1\right)\left(3x+1\right)}{2x-y}

Step-by-step explanation:

15x^2+8x+1:\quad \left(5x+1\right)\left(3x+1\right)

add on 2x -y as the denominator of the fraction

Does anyone know this?

Answers

Answer:

f(-4) = 92

Step-by-step explanation:

f(x) = 3x^2 - 10x + 4

f(-4) = 3(-4)^2 - 10(-4) + 4

      = 3(16) + 40 + 4

      = 48 + 40 + 4

      = 92

I’m pretty sure the answer is f (4) =92

these two polygons are congruent. WZ corresponds to.___ BC DA AB CD

Answers

Answer: These two polygons are congruent. YX corresponds to CD. The correct option among all the options that are given in the question is the first option or option "A". 

"MP" is the one angle or side among the following choices given in the question that is common to TRIANGLE NPW and TRIANGLE OMP . The correct option among all the options that are given in the question is the second option or option "B".

Step-by-step explanation:

Answer:

It's AB

Step-by-step explanation:

What is the slope and the y-intercept of the line on the graph below? On a coordinate plane, a line goes through points (0, 1) and (4, 0).

Answers

The slope is the change in Y over the change in x:

Slope = (0-1) / 4-0) = -1/4

Slope = -1/4

Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1

20. A pool holds 1440 cubic feet of water, the city charges $1.75 per cubic meter of water used.
How much will it cost to fill the pool?

Answers

Answer:Conversion units

Step-by-step explanation: 1 ft^3= 0.028m^3 .: 1440ft^3=40.776m^3, so $1.75x40.776=$71.358~ $71.36.:

Answer:

$71.36

Step-by-step explanation:

1 foot = 0.3048 metros

1 cubic feet = (0.3048metros)³ = 0.02932 cubic meters   (aprox.)

1440 cubic feet = 1440*0.02932 = 40.7763 m

$1.75 por cubic meter:

1.75*40.7763 = $71.36

Estimate the solution to the system of equations.

Answers

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

A group of architects wish to recreate a modern pyramid like the ones built in
ancient Egypt. This huge monument is designed to have 199 stone bricks in the 5th
layer and 1 stone brick in the 27th and top layer. How many stones will they need to
build the entire pyramid?

Answers

Answer:

1,128,330 stones

Step-by-step explanation:

If you multiply how many total layers there are in the pyramid (210) by how many stones there are in each layer (199) before and after the 27th and top layer, you get 41790 stones. Then multiply the top 27 layers by the 41790 stones in those layers then you will get the total amount of stones which comes to 1,128,330 stones needed to build the entire pyramid.

What’s 4%x56? 2 A.2.24 B.1.12 or C.0.448

Answers

Answer:

A. 2.24

Step-by-step explanation:

Multiply 56 by 0.04

56(0.04)

= 2.24

Answer:

Option A

Step-by-step explanation:

4% * 56 =

0.04 * 56 = (Convert the percent into a decimal.)

2.24 (Multiply)

Hope this helps.

the perimeters of two squares are 60 meters and 144 meters respectively. find the perimeter of another square equal in area to the sum of the first two squares

Answers

Answer:

Step-by-step explanation:

perimeter of first square = 4 × side = 60 m

∴ side = 60/4 = 15 m

so area = s × s = 15 × 15 = 225 m^2

perimeter of second square = 4 × side = 144 m

∴ side = 144/4 = 36 m

so area = s × s = 36 × 36 = 1296 m^2

Perimeter of the third square = sum of areas of the first and second triangle

= 225 + 1296

= 1521 m

hope this helps

plz mark as brainliest!!!!!

Answer:

Perimeter of new square =  156 m

Step-by-step explanation:

First square:

 Perimeter = 60 m

 4 * side = 60 m

side = 60/4

side = 15 m

Area of first square = side * side = 15 * 15 = 225 m²

Second square:

 Perimeter = 144 m

 4 * side = 144 m

side = 144/4

side = 36 m

Area of second square = side * side = 36 * 36 = 1296 m²

New square:

Area of new square = area of first square + area of second square

                                  = 225 + 129

Area of new square = 1521 m²

   side * side = 1521

    side = √1521 = √39*39

     side = 39 m

Perimeter of new square = 4 * 39 = 156 m

B is the midpoint of AC. What is the value of x if AC = 52 and AB = 3x - 4

Answers

Answer:

x = 10

Step-by-step explanation:

Since B is the midpoint of AC then AB = BC = 3x - 4 and

AB + BC = AC , thus

3x - 4 + 3x - 4 = 52, that is

6x - 8 = 52 ( add 8 to both sides )

6x = 60 ( divide both sides by 6 )

x = 10

-18 = -3x + 6 can anybody help me solve this problem

Answers

Answer:

[tex]\huge\boxed{x = 8}[/tex]

Step-by-step explanation:

[tex]\sf -18 = -3x+6\\Subtracting \ 6 \ to \ both \ sides\\-18-6 = -3x\\-24 = -3x\\Dividing \ both \ sides \ by \ -3\\8 = x\\OR\\x = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

Here, -3x = -24

x = 8

hope that helps you

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