The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.

StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths

Which property was applied in this step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality

Division Property of Equalit

solution//

= 4(m-3) = 24

= 4m-12 = 24

= 4-12+12 = 24+12

= 4m = 36

= 4m = 36

4 4

= m = 9

Step-by-step explanation:

Thank you

[tex]\sf\purple{The\:value\:of\:m\:is\:9.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]4 \: (m - 3) = 24 \\ ⇝4 \: m - 12 = 24 \\ ⇝4 \: m = 24 + 12 \\ ⇝4 \: m = 36 \\ ⇝m = \frac{36}{4} \\ ⇝m = 9[/tex]

To verify:-

[tex]4(m - 3) = 24 \\ ⇝4(9 - 3) = 24 \\ ⇝4 \times 6 = 24 \\ ⇝24 = 24 \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

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Answer:

169

Step-by-step explanation:

x²+26x=23

=> to complete the square, the equation should be : x²+26x + (26/2)² = 23 + (26/2)²

<=> x² +26x + 13² = 23 + 13²

<=> x² +26x +169 = 23 + 169

<=> (x+13)² = 192

so, (x+13)² is the square form , and 169 must be added to complete the square

For 2ab to complete in (a+b)² formula

a=1

So 169 must be added

Answer:

I am pretty sure its 30 students

Answer:

A.) 84π | B.) 546π/5

Step-by-step explanation:

A.)

V(Cone) = πr²(h/3) where r = radius and h = height.

r = d/2 where d = diameter.

r = 12/2 = 6

V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π

B.)

84π · 0.3 = 126π/5

84π + 126π/5 = 546π/5  

Answer:

the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.

Hope this help

Have a nice day :)

Answer:

1.

[tex]midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)[/tex]

2.

[tex]distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units[/tex]

9514 1404 393

Answer:

  infinite number of solutions

Step-by-step explanation:

The two equations describe the same line.

Adding 9y+15 to the second equation makes it be ...

  15 = 6x +9y

Dividing that by 3 gives you ...

  5 = 2x +3y . . . . . . identical to the first equation

The lines intersect at every point, so there are an infinite number of solutions.

Answer:

Step-by-step explanation:

From the given information:

The Directrix  x = - 1

The eccentricity  e = 1

Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.

Hence, the conic equation in terms of r is:

[tex]\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}[/tex]

From the directrix to the pole, the distance p = 1

So;

[tex]\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}[/tex]

[tex]\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}[/tex]

Answer:

h(-8) = -40

Step-by-step explanation:

Find h(-8) by plugging in -8 as x:

h(x) = 1/4x² + 7x

h(-8) = 1/4(-8)² + 7(-8)

Simplify:

h(-8) = 1/4(64) - 56

h(-8) = 16 - 56

h(-8) = -40

So, the answer is h(-8) = -40

The value of h(-8) is -40.

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given:

h(x)=1/4x²+7x

h(-8)= 1/4* 64+7*(-8)

      = 16-56

      = -40

Hence, h(-8)=-40.

Learn more about quadratic equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

27.4 feet down deep

Step-by-step explanation:

28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up

leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea

Answer:

27.4 feet

Step-by-step explanation:

.3 ft per sec for 6 sec = 1.8 feet

.3 ft per sec for 4 sec = 1.2 feet

28 - 1.8 + 1.2 = 27.4

Answer:

2 and 3

Step-by-step explanation:

Given the set (2, 3, 4, 5,) and inequality 19- 4x>3

To obtain which number gives a solution, we test each value in the set ;

19- 4x>3

For x = 2

19- 4(2)>3

19 - 8 > 3

11 > 3 (true)

x = 3

19- 4(3)>3

19 - 12 > 3

7 > 3 (true)

For x = 4

19- 4(4)>3

19 - 16 > 3

3 > 3 (false )

For x = 5

19- 4(5)>3

19 - 20> 3

-1 > 3 (false)

Answer:

8038.65

Step-by-step explanation:

[tex]4000(1+\frac{.07}{12})^{12*10}=8038.65[/tex]

Answer:

162 minutes

Step-by-step explanation:

Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162

Answer:

1. -6

Step-by-step explanation:

a1 = 150

a2 = a1 - 4 = 150 - 4 = 146

a3 = a2 - 4 = a1 - 4 - 4 = 146 - 4 = 150 - 4 - 4 = 142

...

=>

an = a1 - (n-1)×4

=>

a40 = a1 - 39×4 = 150 - 156 = -6

Answer:

4cp^2 ( 4c^3+5p

Step-by-step explanation:

See image below:)

The factored form of the expression will be [tex]4cp^2 (4c^3+5p)[/tex]

Given the expression  16c^4p^2+20cp^3​

Get the factor for each term

From the factors, you can see that 4cp^2 is common to both terms. Hence the factored form of the expression will be:

[tex]4cp^2 (4c^3+5p)[/tex]

Learn more on factored form here: https://brainly.com/question/25948667

Answer:

Step-by-step explanation:

Answer:

-1 =s

Step-by-step explanation:

7 = -10s - 3

Add 3 to each side

7+3 = -10s - 3+3

10 = -10s

Divide by -10

10/-10 = -10s/-10

-1 =s

Answer:

okay the first questions answer is ,c,is true and rest of them are false

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

Answer:

Step-by-step explanation:

322.14 cm²

Answer:

144 cm³ or 144 cubic centimeters

Step-by-step explanation:

Volume = Area triangle * height

Area triangle = 1/2 ( 3 x 8) = 1/2( 24) = 12

12 x 12 = 144 cm³

If my answer is incorrect, pls correct me!

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Answer:

2.844

Step-by-step explanation:

2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!

Answer:

2.84

Step-by-step explanation:

2.8436 is rounded to the nearest thousands we get 2.84

Answer:

402 cm

Step-by-step explanation:

Given :

Radius = 4 cm

The Circumference of a circle :

C = 2πr

C = 2 * π * 4 = 8π

Spool is spun 16 times :

Circumference * 16

8π * 16

8 * 3.14 * 16

= 401.92

= 402 cm

Answer:

402 cm

Step-by-step explanation:

Answer:

The center is ( -2, 7) and the radius is 6

Step-by-step explanation:

A circle is written in the form

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x+2)^2+(y-7)^2=36

(x -  -2)^2+(y-7)^2=6^2

The center is ( -2, 7) and the radius is 6

Answer:

The answer is "[tex](32.8318736, 29.1681264)[/tex]"

Step-by-step explanation:

When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:

[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]

Answer:

Step-by-step explanation:

Convert to simplified fraction:

Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Convert to Mixed fraction:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.

[tex]2 \frac{4}{10} [/tex]

Reduce the fractional part of the mixed number.

[tex]2 \frac{2}{5} [/tex]