Can I get help pls ._.

Step-by-step explanation:

It takes 3 minutes, at 17 gallons per minute, for the tap to fill the tub, so 51 gallons of water flow into the tub.

The capacity of the tub is 46.5 gallons; so in 3 minutes 51-46.5 = 4.5 gallons have leaked. That's a rate of 4.5/3 = 1.5 gallons per minute.

The amount of time it will take the tub to drain at that rate is 46.5/1.5 = 31 minutes.

Answer:

It takes 3 minutes, at 17 gallons per minute, for the tap to fill the tub, so 51 gallons of water flow into the tub.

Step-by-step explanation:

Answer:

x = -2 , y = 3 , z = -5 thus the answer is C.)

Step-by-step explanation:

Solve the following system:

{3 x + 2 y - 3 z = 15

-2 x + 4 y + 2 z = 6

4 z + 12 = -8

Express the system in standard form:

{3 x + 2 y - 3 z = 15

-2 x + 4 y + 2 z = 6

0 + 0 + 4 z = -20

Express the system in matrix form:

(3 | 2 | -3

-2 | 4 | 2

0 | 0 | 4)(x

y

z) = (15

6

-20)

Write the system in augmented matrix form and use Gaussian elimination:

(3 | 2 | -3 | 15

-2 | 4 | 2 | 6

0 | 0 | 4 | -20)

Add 2/3 × (row 1) to row 2:

(3 | 2 | -3 | 15

0 | 16/3 | 0 | 16

0 | 0 | 4 | -20)

Multiply row 2 by 3/16:

(3 | 2 | -3 | 15

0 | 1 | 0 | 3

0 | 0 | 4 | -20)

Divide row 3 by 4:

(3 | 2 | -3 | 15

0 | 1 | 0 | 3

0 | 0 | 1 | -5)

Subtract 2 × (row 2) from row 1:

(3 | 0 | -3 | 9

0 | 1 | 0 | 3

0 | 0 | 1 | -5)

Add 3 × (row 3) to row 1:

(3 | 0 | 0 | -6

0 | 1 | 0 | 3

0 | 0 | 1 | -5)

Divide row 1 by 3:

(1 | 0 | 0 | -2

0 | 1 | 0 | 3

0 | 0 | 1 | -5)

Collect results:

Answer:  {x = -2 , y = 3 , z = -5

Answer: 15.5

Step-by-step explanation:c squared - b squared = a squared  

Answer:

15.5 cm

Step-by-step explanation:

Since this is a right triangle and we have to solve for an unknown side, we can use the Pythagorean Theorem, which is:

[tex]a^2+b^2=c^2[/tex].

Note that a and b is one of the legs, but c is always and must be the hypotenuse.

We know one of the legs is 17 and the hypotenuse is 23. Let's put these numbers in (you can put 17 in for either a or b, it doesn't matter, but the 23 must replace c).

[tex]17^2+b^2=23^2[/tex]

[tex]289+b^2=529[/tex]

[tex]b^2=240[/tex]

[tex]b=\sqrt{240}=4\sqrt{15} \approx 15.5[/tex]

Answer:

The slope shows how much money the car decreases by each year. (Every year after the car was first purchased the value of it goes down by $2,000) The y-intercept tells what the starting price of the car was. ( they bought it for $25,000)

Step-by-step explanation:

Algebra

y=mx+b

Answer:

Let's do this step by step

Since there are 72 apples, the pears are 3 times as much. So multiply by 3

[tex]72 * 3=216[/tex]

So there would be 216 pears.

Now for Kiwis

They are 2 times as much, Multiply by 2

[tex]72 *2=144[/tex]

All together with the kiwi and the pears are

[tex]216+144=360[/tex]

And all the fruits together it would be

432

Hope this helps

Answer by

Fishylikeswater

The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.

Number of apples = 72 apples

Number of kiwis = 2 × 72

= 144 kiwis

Number of pears = 72 × 3

= 216 pears

Therefore, Peggy has 144 kiwis

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Answer:

80% (see below)

Step-by-step explanation:

24:30

24 ÷ 30 = 0.8

0.8 = 80%

Hope this helped! :)

Answer:

80%

Step-by-step explanation:

Step 1: Find the fraction she got correct

24/30 = 4/5

Step 2: Find the decimal

4/5 = 0.8

Step 3: Convert to percentage by multiplying by 100

0.8(100) = 80%

Answer:(m-6)(m+6)

the last one on edge

Step-by-step explanation:

math

An expression is a set of numbers, variables, and mathematical operations. The factors of the given expression m²–6m+6m–36 are (m+6)(m–6). The correct option is D.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The factors of the given expression can be found as shown below.

m² – 6m + 6m – 36

Taking m as the common factor from the first two terms of the expression and 6 as the common factor from the last two terms,

= m(m–6) + 6(m–6)

Taking (m–6) as the common factor from the two terms,

= (m+6)(m–6)

Hence, the factors of the given expression m²–6m+6m–36 are (m+6)(m–6).

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Answer:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Step-by-step explanation:

The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).

Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:

[tex]C = 1[/tex]

After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:

[tex]V(x,y) = (-3,-2)[/tex]

The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):

[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]

[tex]y = x^{2} + 6\cdot x + 7[/tex]

Then, the blue parabola is represented by the following equations:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Answer:

22.50

Step-by-step explanation:

45 divided by 2 is 22.50

Answer:

x - intercept -> Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> the highest point the javelin reached was 14 meters above the ground

increasing or decreasing interval -> Jan threw the javelin a distance of 90 meters

Step-by-step explanation:

x - intercept is where y = 0. Check where y is 0. At x = 90. Meaning it's Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> there is only a maximum on the graph, look at how the points never go down and back up, but rather up then down.

increasing or decreasing interval is basically just the interval or the x values and they go to 90 so..

Hi,

it'took 70 minutes to empty the pool.  

After 20 it's stay 45 000 litres.   So in 50 minutes, 45 000 litres are gone.  

So  :    45 000 / 50 =  4500/5 = 9*5 *100 /5 = 900

900 litres is off  every minute.

So the  pool contained  :  900 *70 =  63 000 litres  in the beginning.

Answer:

12.5%

Step-by-step explanation:

Percent decrease is calculated as

[tex]\frac{decrease}{original}[/tex] × 100%

Decrease = $400 - $350 = $50 , thus

percent decrease = [tex]\frac{50}{400}[/tex] × 100% = [tex]\frac{50(100)}{400}[/tex] = 12.5%

The percent decrease on a DVD recorder that is 12.5%. The correct option is 3

A percentage is a minimum number or ratio that is measured by a fraction of 100.

let the value of which a thing is represented in percentage is "a'

let the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), therefore we will first divide the whole part in 100 parts and then we multiply it with b so that we can get b items per 100 items(that is exactly what b per cent means).

Hence, that thing in number is

(a/100)x b

Percent decrease is calculated as;

Decreased in price/original price × 100%

Decrease = $400 - $350 = $50 , thus

Therefore, percent decrease = 50/400 × 100%  

= 12.5%

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Answer:

Fasle

Step-by-step explanation:

81 1/4s would be 81/4 which would be 20 and 1/4

Answer:

$3,240

Step-by-step explanation:

To find the amount of money that Dominic will need to pay for gymnastics for his three daughters, first you have to multiply the cost per month per child for 12 months to know the cost per year per child:

$90*12=$1,080

Then, you has to multiply the cost per year per child for 3 that is the number of daughters:

$1,080*3=$3,240

According to this, Dominic need to budget $3,240 for a year (12 months)

of gymnastics for his daughters.

Answer:

The answer is given below

Step-by-step explanation:

The mean (μ) = 21.2 minutes and the standard deviation σ = 3.5 minutes.

the​ oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M, therefore the sample size n = 45

there be a​ 10% chance of being at or​ below. From the normal distribution table, The z score corresponding to a probability of 10% (= 0.1)  is -1.28.

z = -1.28

To calculate the mean​ oil-change time, we use the formula:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\ Substituting \ values:\\-1.28=\frac{x-21.2}{\frac{3.5}{\sqrt{45} } }\\\\x-21.2=-0.6678\\\\x=-0/6678+21.2\\\\x=20.5[/tex]

Answer:

x^2 -2x+1

Step-by-step explanation:

(x - 1 )(x - 1)

FOIL

first: x*x = x^2

Outer: -1x

inner: -1x

Last: -1*-1 = 1

Add these together

x^2 -1x-1x+1

x^2 -2x+1

Answer:

x² - 2x +1

Step-by-step explanation:

(x - 1) (x - 1)

x(x - 1) - 1(x - 1)

x² - x - x + 1

x² -2x + 1

Answer:

A = 9p² - 25

Step-by-step explanation:

The side lengths were 3p.  5 was added to the length and subtracted from the width.  This means that

l = 3p + 5

w = 3p - 5

Plug these values into the formula for the area of a rectangle.

A = lw

A = (3p + 5)(3p - 5)

A = 9p² - 25

The area of the rectangle is 9p² - 25.

Answer:

We have;

Hours (h),                            Total cost C

1,                                           5*1 + 10 =  $15

2,                                          5*2 + 10 = $20

3,                                          5*3 + 10 =  $25

4,                                          5*4 + 10 =  $30

5,                                          5*5 + 10 =  $35

Step-by-step explanation:

The given parameters are;

Kevin's fixed charge for lawn cutting = $10

Kevin's charge for lawn cutting per hour = $5

The total cost, C, for cutting lawn cutting by Kevin is C = 5h + 10

Answer:

Yes, because the angles are congruent and the sides are proportional. Look at the degrees and the lengths. Answer C is correct.

Step-by-step explanation:

Answer:

  60 square units

Step-by-step explanation:

We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.

From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...

  (10×6), (2×6), (6×4), (6×4)

Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...

  (1/2)(60 +12 +24 +24) = 60

Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:

  trapezoid area = 120 -60 = 60 . . . . square units

This question is not that clear, so let me rewrite it here -

Eva sees a dolphin 3.2 meters below sea level and a bird [tex]47/10[/tex] meters above sea level. Which of the expressions represents the vertical distance between the dolphin and the bird?

Now we are given that Eva sees the dolphin at a distance 3.2 meters below sea level, respectively she sees a bird at [tex]47/10[/tex] meters above sea level. The vertical distance between the dolphin and the bird should thus be the distance dolphin is below sea level + distance of bird above sea level -

[tex]y = 3.2 + 47 / 10,\\y = 3.2 + 4.7,\\y = 7.9 meters\\-------------\\Solution = 7.9 ( meters )[/tex]

The expression that represents the vertical distance between the dolphin and bird should be 3.2 + 47 / 10.

Answer:

10 sandwiches

Step-by-step explanation:

first, write an equation to model the problem.

if x is the number of sandwiches and y is the number of soups, you can write:

7.75x + 4.5y = 113.5

in addition, to figure out the number of lunches, you can write:

x + y = 18

finally, plug both equations into desmos and see which point makes both equations true.

the point is (10, 8)

this means they ordered 10 sandwiches and 8 soups

if this helped, please mark brainliest :)

Answer:

x=7

Step-by-step explanation:

If BD is the bisector, then  ABD = DBC

3x-1 = 34-2x

Add 2x to each side

3x-1+2x = 34-2x+2x

5x-1 =34

Add 1 to each side

5x-1+1 = 34+1

5x= 35

Divide by 5

5x/5 = 35/5

x = 7

Answer:

We can find the highest common factor of a number by listing down all the factors of that number. The greatest factor from that list is the highest common factor.

How to find HCF of two numbers

We can find the HCF of any numbers using three methods -:

[tex] \small \underline {\underline{\bf Common \: Factor \: Method }}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \small \underline{\underline{\bf{ Prime \: Factorisation }}}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \small \underline{ \underline{\bf{ Division \: Method}}}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \rule{91mm}{3pt}[/tex]

Answer:

D. 24

Step-by-step explanation:

Let's name the diagram

Row 1: a1, a2, a3

Row 2: b1, b2, b3

Row 3: c1, c2, c3

From the diagram,

b2 and c2 have been given

All rows, columns and diagonal must sum up to 18

If b2=6 and c2=4

a2=18-(6+4)

=18-10

=8

a2=8

Assume a1=4

Diagonals a1+b3+c3=18

4+6+c3=18

10+c3=18

c3=18-10

=8

Assume a3=6

Diagonals a3+b2+c1=18

6+6+c1=18

12+c1=18

c1=18-12

=6

So b1=18-(6+4)

=18-10

=8

b1=8

b3=18-(6+8)

=18-14

=4

b3=4

Input all the numbers into the boxes

We have,

4 8 6

8 6 4

6 4 8

Corner numbers are a1,a3,c1,c3

=4,6,6,8

Sum of all the corner numbers=4+6+6+8

=24

D. 24

Answer:

Tan(x) = 1/[tex]\sqrt{3}[/tex]

We know that Tan 30 = 1/[tex]\sqrt{3}[/tex]

Therefore, x = 30 degrees

Answer:

3/10 is orange juice.

Step-by-step explanation:

Step 1: Find the total mL in the concoction

15 + 25 + 10 = 50 mL in a fruit cocktail

Step 2: Find the proportion of orange juice in 1 serving (50 mL) of cocktail

15/50 = 3/10

Answer:

B.

Step-by-step explanation:

First, you never want to give out your banking information to anyone, so D is incorrect. A is incorrect because a debit card withdraws money from your checking account to pay for items you purchase. C is also incorrect because you can only spend the same amount of money in your checking account.