please help me on this

Answer:

She had $2.00 left.

Step-by-step explanation:

PEMDAS

$75 - [(3 x $4) + (2 x $20) + $21 ]

$75 - [ $12 + $40 + $21]

$75 - [ $52 + $21]

$75 - $73

$2

Answer:

12,157,665,459,057,000,000

Step-by-step explanation:

It seems like it would have to involve exponents.  3 to the 40th power would be 12,157,665,459,057,000,000.  

Answer:

Step-by-step explanation:

the degree of 8^8t

16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1

Answer:

S = x + 10

R = 2x + 10

Step-by-step explanation:

If R is Roberto's age, and S is his sister's age, then:

R = S + x

R − 10 = 2 (S − 10)

Solve with substitution.

S + x − 10 = 2 (S − 10)

S + x − 10 = 2S − 20

S = x + 10

R = 2x + 10

[tex]f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}[/tex]

This is because

[tex]h(x)=\sqrt x[/tex]

[tex]g(x)=x-1[/tex]

[tex]\implies g(h(x))=\sqrt x-1[/tex]

(that is, replace any instance of x in the definition of g with √x )

and

[tex]f(x)=x^4+4[/tex]

[tex]\implies f(\sqrt x-1)=(\sqrt x-1)^4+4[/tex]

(replace any x in f with √x - 1)

Also acceptable:

[tex](\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4[/tex]

[tex]=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}[/tex]

(assuming x is not negative)

Answer:

By factoring we get:

(x -9) * (x -9) = 0

The answers are

x = 9 and x = 9

Step-by-step explanation:

Answer:it’s A

Step-by-step explanation:

Answer:

Hey there!

Our equation can be: 2y+3=4y+2

Hope this helps :)

Answer:

2y+3=4y+2

I hope you got it..

Answer:

5/14 = 0.36

7/10 = 0.7

5/6 = 0.83

11/15 = 0.73

19/21 = 0.9

(round to the tenth)

so the answer is;

5/14, 7/10, 11/15, 5/6, 19/21

Step-by-step explanation:

Hope it helps!

Answer:

8 turns

Step-by-step explanation:

If we want to take a full turn, we'd turn around 360° since we'd be in the same position.

If we turn in intervals of 45°, we need to find how many times 45 goes into 360. To do this, we can divide.

[tex]360\div45=8[/tex]

Hope this helped!

Answer:

It will take 8  45 degree angles to make a full turn

Step-by-step explanation:

360 degrees is a full turn

360/45 =8

It will take 8  45 degree angles to make a full turn

Answer:

19 x 97 = 1843

Answer:

Step-by-step explanation:

[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]

[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]

Answer:

A) 5.4 cm

Step-by-step explanation:

Length of mid segment = (sum of parallel sides )/2

Sum of parallel sides = PQ + SR = 9 + SR

[tex]\frac{9+SR}{2}=MN\\\\\frac{9+SR}{2}=7.2 cm\\9 +SR = 7.2*2\\\\9 + SR = 14.4\\ SR = 14.4 -9 \\SR = 5.4 cm[/tex]

Answer:

(6/7)/(12/21) = 4/x

the first part of the expression :

when divide fraction: turn the sign from ÷ to × and flip the second fraction

(6/7)×(21/12)=4/x

126/84=4/x ( simplify the fraction 126/84)

GCF of 126 and 84 is 42 ( 126/48=3 and 84/42=2)

3/2=4/x ( cross multiplication ( butterfly)

1.5=4/x

1.5x=4

x=4/1.5=2.6666.......

Answer:

  d) m - 2 l = - 6; m - l = 5

Step-by-step explanation:

Twice the number of slices on a large pizza is 2l. 6 fewer than that is 2l-6. This is the number on a monster pizza, so we have ...

  m = 2l -6

Subtracting 2l from both sides gives the equation ...

  m -2l = -6 . . . . . matches choice D

Answer:

y- intercept = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope( gradient ) and c the y- intercept )

Here m = - 2 , thus

y = - 2x + c ← is the partial equation

To find c substitute (- 3, 10) into the partial equation

10 = 6 + c ⇒ c = 10 - 6 = 4

Thus y- intercept c = 4

Answer:

this glizzy

Step-by-step explanation:

blow this glizzy u madd u wrong answer

Answer:

  4

Step-by-step explanation:

Sometimes when evaluating polynomials, it is easier if you write them in Horner form:

  (y +5)y -2

For y = -6, this is ...

  (-6 +5)(-6) -2 = (-1)(-6) -2 = 6 -2 = 4

The value of your expression is 4.

Answer:

Hey there!

You would write that as 2(9-n), where n is the number.

Hope this helps :)

Answer:

[tex]\frac{1}{20}[/tex] of a second

Step-by-step explanation:

We can convert each time into fractions.

11.74 is the same thing as [tex]11 \frac{74}{100}[/tex]

and 11.69 is the same thing as [tex]11 \frac{69}{100}[/tex].

We know that 11 - 11 = 0, so we can focus on the fractions for now.

Let's subtract [tex]\frac{69}{100}[/tex] from [tex]\frac{74}{100}[/tex].

[tex]\frac{74}{100} - \frac{69}{100} = \frac{5}{100}[/tex].

We can now simplify [tex]\frac{5}{100}[/tex] by dividing both the numerator and denominator by 5.

[tex]\frac{5\div5}{100\div5} = \frac{1}{20}[/tex].

Hope this helped!

Answer: a=5

Step-by-step explanation:

1/12a=10/24

24a=120

a= 5

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6

Answer:

∠ G = 121°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 3x + 25 + x - 5 = 180 , that is

5x + 20 = 180 ( subtract 20 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

Thus

∠ G = 3x + 25 = 3(32) + 25 = 96 + 25 = 121°

Answer:

121

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (7, 3)

m = [tex]\frac{3+3}{7-5}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Answer:

565.80

Step-by-step explanation:

600.79-40.0032+5.01 =  565.7968

565.7968 to the nearest Hundredths​ =

565.80

Answer:

565.80

Step-by-step explanation:

600.79 - 40.0032 + 5.01

600.79 - 40.0032 = 560.7868

560.7868 + 5.01 = 565.7968

565.7968 to the nearest hundredth = 565.80

Answer:

The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel

Step-by-step explanation:

To prove that DE is parallel to BC, we have;

The slope, m of the lines DE and BC are found from the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;

[tex]Slope, \, m =\dfrac{c - c}{a + b-b} = 0[/tex]

Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;

[tex]Slope, \, m =\dfrac{0 - 0}{2a-0} = 0[/tex]

Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.

Answer:

slope of DE = 0

slope Bc = 0

slopes are =

Step-by-step explanation:

Answer:

x = -4 + 3 i or x = -4 - 3 i

Step-by-step explanation:

Solve for x:

(x + 4)/(x + 5) = (x - 5)/(2 x)

Hint: | Multiply both sides by a polynomial to clear fractions.

Cross multiply:

2 x (x + 4) = (x - 5) (x + 5)

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

2 x^2 + 8 x = (x - 5) (x + 5)

Hint: | Write the quadratic polynomial on the right hand side in standard form.

Expand out terms of the right hand side:

2 x^2 + 8 x = x^2 - 25

Hint: | Move everything to the left hand side.

Subtract x^2 - 25 from both sides:

x^2 + 8 x + 25 = 0

Hint: | Using the quadratic formula, solve for x.

x = (-8 ± sqrt(8^2 - 4×25))/2 = (-8 ± sqrt(64 - 100))/2 = (-8 ± sqrt(-36))/2:

x = (-8 + sqrt(-36))/2 or x = (-8 - sqrt(-36))/2

Hint: | Express sqrt(-36) in terms of i.

sqrt(-36) = sqrt(-1) sqrt(36) = i sqrt(36):

x = (-8 + i sqrt(36))/2 or x = (-8 - i sqrt(36))/2

Hint: | Simplify radicals.

sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:

x = (-8 + i×6)/2 or x = (-8 - i×6)/2

Hint: | Factor the greatest common divisor (gcd) of -8, 6 i and 2 from -8 + 6 i.

Factor 2 from -8 + 6 i giving -8 + 6 i:

x = 1/2-8 + 6 i or x = (-8 - 6 i)/2

Hint: | Cancel common terms in the numerator and denominator.

(-8 + 6 i)/2 = -4 + 3 i:

x = -4 + 3 i or x = (-8 - 6 i)/2

Hint: | Factor the greatest common divisor (gcd) of -8, -6 i and 2 from -8 - 6 i.

Factor 2 from -8 - 6 i giving -8 - 6 i:

x = -4 + 3 i or x = 1/2-8 - 6 i

Hint: | Cancel common terms in the numerator and denominator.

(-8 - 6 i)/2 = -4 - 3 i:

Answer: x = -4 + 3 i or x = -4 - 3 i

Answer:

320 sq in

Step-by-step explanation:

4(1/2*8*16) + (8*8)

= 4(64) + (64)

= 5(64)

= 320

Answer:

Step-by-step explanation:

Given,

Principal ( P ) = N 250

Time ( T ) = 4 years

Amount ( A ) =N 330

Rate ( R ) = ?

First, finding the Interest :

According to definition of Amount ,

Amount = Principal + Interest

plug the values

⇒[tex] \sf{330 = 250 + I}[/tex]

Move i to left hand side and change it's sign

⇒[tex] \sf{ - I = 250 - 330}[/tex]

Calculate

⇒[tex] \sf{ - I = - 80}[/tex]

Change the signs of the both equation

⇒[tex] \sf{I = 80 }[/tex]

Interest = 80

Finding the rate :

Simple Interest = [tex] \sf{ \frac{PTR}{100} }[/tex]

plug the values

⇒[tex] \sf{80 = \frac{250 \times 4 \times R}{100} }[/tex]

Multiply the numbers

⇒[tex] \sf{80 = \: \frac{1000 \: R}{100} }[/tex]

Apply cross product property

⇒[tex] \sf{1000R = 100 \times 80}[/tex]

Multiply the numbers

⇒[tex] \sf{1000R = 8000}[/tex]

Divide both sides of the equation by 1000

⇒[tex] \sf{ \frac{1000R}{1000} = \frac{8000}{1000} }[/tex]

Calculate

⇒[tex] \sf{R = 8 \: \% \: }[/tex]

Thus, Rate = 8 %

-------------------------------------------------------------------------

Let's learn about Principal , Interest , Time , Rate and Amount :

Hope I helped!

Best regards!!

Answer:

63.4°

Step-by-step explanation:

Use the right triangle with vertices (0, 4), (6, 4), and (6, 7).

We are looking for the measure of the interior angle of the triangle at vertex (6, 7).

Call that angle, <A.

tan A = opp/adj

tan A = 6/3

A = 63.4°

The angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The equation of the straight line that goes through the points (0, 4) and (6, 7),

First, let's calculate the slope:

m = (7 - 4) / (6 - 0) = 3/6 = 1/2

Now we can use the point-slope formula with the point (0, 4) and slope m = 1/2:

(y - 4) = (1/2)(x - 0)

y = (1/2)x + 4

Next, we need to find where this line intersects the Crocodile River, which is represented by the x-axis.

Setting y = 0 in the equation above, we get:

0 = (1/2)x + 4

x = -8

So, the Serengeti Stream flows into the Crocodile River at the point (-8, 0).

The slope of the Serengeti Stream at (6, 7) is:

m = (7 - 4) / (6 - 0) = 1/2

The slope of the line perpendicular to the Serengeti Stream at (6, 7) is the negative reciprocal of the slope of the Serengeti Stream:

m_perpendicular = -1/m = -1/(1/2) = -2

So the equation of the line perpendicular to the Serengeti Stream at (6, 7) is:

(y - 7) = (-2)(x - 6)

y = -2x + 19

The arctangent of the slope:

angle = arctan(-2)

angle ≈ -63.4° (CCW)

Therefore, the angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ3

Answer:

4 cm

Step-by-step explanation:

Volume is given by area of cross section * height

_______________________________

For condition 1

height = 12 cm

base for area of cross section is 5*8

that is length 8 cm and width 5 cm

thus area of cross section = 5*8 = 40 cm square

volume of milk =  area of cross section* height of milk = 40*12 = 480 cm cube.

_______________________________________________

now milk is turned such that base of area of cross section will

15 by 8

that is length: 15 cm and width : 8 cm

thus area of cross section = 15*8 = 120 cm square

let the depth of milk be x

thus, volume of milk =  area of cross section* height of milk = 120*x

= 120x cm cube

Since milk is in the same container , its volume before and after the change of alignment of container will remain same

thus

120x cm cube = 480 cm

=> x = 480/120 = 4

Thus, depth under given situation will be 4 cm.

Step-by-step explanation:

A is directly proportional to B is written as

where k is the constant of proportionality

First we must find the relationship between the two variables

when

A = 5/3

B = 5/6

Substitute the values into the formula to find k

[tex] \frac{5}{3} = k \frac{5}{6} [/tex]

Multiply through by the LCM which is 6

That's

[tex]5 \times 2 = 5k[/tex]

5k = 10

Divide both sides by 5

k = 2

So the formula for the variation is

when B = 1/3

[tex]A = 2 \times \frac{1}{3} [/tex]

When A = 15/2

[tex] \frac{15}{2} = 2B[/tex]

Multiply through by 2

[tex]4B = 15[/tex]

Divide both sides by 4

Hope this helps you