Sandy’s older sister was given $2,400 and was told to keep the balance of the money after sharing with her siblings. Give Sandy exactly $350. Write Sandy’s portion

Answer:

210*pi

Step-by-step explanation:

Surface area=2*pi*r*(r+h)

=2*pi*5*(21)=210*pi

Answer:

x=96

Step-by-step explanation:

3/8x=36

Multiply both sides by 8/3.

[tex](\frac{8}{3}) (\frac{3}{8} x)=(\frac{8}{3} )[/tex]

x  =96

Answer:

96

Step-by-step explanation:

36/3/8=36*8/3.

Therefore, 36*8 is 288,

Then you divide 3 from 288=288/3=96

The answer is 96.

Hopefully this answer helps!!!

Answer:

x = 6 gallons (of 30% alcohol)

y = 12 gallons (of 60% alcohol)

Step-by-step explanation:

Let

x = liters of 30% alcohol

y = liters of 60% alcohol

There are two unknowns, we need two equations

x + y = 18. (1)

0.30x + 0.60y = 0.50(x+y) (2)

From (1)

x + y = 18

y = 18-x

Substitute the value of y into (2) and solve for x:

0.30x + 0.60y = 0.50(x+y)

0.30x + 0.60(18-x) = 0.50(x+18-x)

0.30x + 10.8 - 0.60x = 0.50(18)

10.8 - 0.30x = 9

-0.30x = -1.8

Divide both sides by -0.30

x = 6 gallons (of 30% alcohol)

Substitute x=6 into (1) and solve for y:

x + y = 18

6 + y = 18

y = 12 gallons (of 60% alcohol)

Answer:

Step-by-step explanation:

Not always.

√3 * √27 = √81 = 9

Step-by-step explanation:

distance around the running track means to find the perimeter of whole solid figure

radius(r) = 30/2 =15m

perimeter = 50+ pi× r + 50+ pi × r

= 100 + 2 × pi ×r

= 100 + 2× 22÷7 × 15

= 1360/ 7 m

= 194.285 m

Answer:

d = 240 - 44t

Step-by-step explanation:

Distance of the raft to the waterfall

The raft is heading for the waterfall, therefore, the distance between the raft and the waterfall is diminishing.

Waterfall=240 ft from the tunnel

Speed of the raft =44 ft per second

Therefore the equation of a function rule that represent the distance of the raft to the waterfall is:

d = 240 - 44t

Where t=time in seconds

Answer:

3 1/6 cups of flour.

Step-by-step explanation

Answer:

y=-x+2  

Step-by-step explanation:

it is linear equation y=mx+b two points (0,2),(1,1)

find m ( slope)=y2-y1/x2-x1 ⇒1-2/1-0⇒-1

y=mx+b choosea point from graph :(0,2)\when x =0 the y=b=2

y=-x+2  

Answer:

(x + 2)(x + 3)

Step-by-step explanation:

To factor perfect square trinomials, we have to follow a certain trick, the two factor numbers must equal b (in this case 5x) when added and equal c (in this case 6) when multiplied.

Simply enough, two numbers that do this is 2 and 3.

Therefore, our factor numbers are 2 and 3, making the last eqaution (x + 2)(x + 3)

Answer:

1a) 1/64

1b) 1/169

1c) 1/9

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

Question A,

[tex] {4}^{ - 3} = \frac{1}{ {4}^{3} } = \frac{1}{64} [/tex]

Question B,

[tex] {13}^{ - 2} = \frac{1}{ {13}^{2} } = \frac{1}{169} [/tex]

Question C,

[tex] {( - 3)}^{ - 2} = {( - \frac{1}{3}) }^{2} = \frac{1}{9} [/tex]

Answer:

A and D

Step-by-step explanation:

The two triangles that are congruent by ASA is discussed below.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. "Congruent" refers to things that are precisely the same size and shape.

Angle-Side-Angle refers to the ASA Congruence rule.

According to this rule, two triangles are said to be congruent if any two of their respective angles and the side that is included between them are equal to the corresponding angles and the included side of the other triangle.

For example, there are ABC and DEF in which ∠ B = ∠ E, ∠ C = ∠ F, and BC = EF

Then, the triangle that Δ ABC ≅ Δ DEF by ASA congruence rule.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ5

Answer:

49000

Step-by-step explanation:

since it's the same worth

Answer:

49000

Step-by-step explanation:

since there was the same worth given to all

Answer:

8p + 24 dollars

Step-by-step explanation:

1 hour = (p+3)

8 hours = 8 (p+3)

=> 8p + 24

In 8 hours, Cheryl earns 8p + 24 dollars.

Answer:

[tex]\boxed{8p + 24}[/tex]

Step-by-step explanation:

Hey there!

Well if Cheryl earns p + 3 per hour and it is asking us to find the amount made in 8 hours, we can make the following,

8(p + 3)

8*p = 8p

8*3 = 24

Together,

8p + 24

Hope this helps :)

Answer:

y = -x + 4

Step-by-step explanation:

(x₁,y₁)= (5, - 1)    & (x₂,y₂)= (2 , 2)

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

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

m = -1

Equation of the line y - y₁ = m(x - x₁)

y  - [-1] = (-1)*(x - 5)

y + 1 = -x + 5      {-1 is distributed}

y = -x + 5 - 1

y = -x + 4

Answer:

x = - 6

Step-by-step explanation:

3x - 4 = 2x - 10

3x -2x = 4 - 10

x = - 6

For the equation 3x-4=2x-10, the value of x is -6.

The given equation is 3x-4=2x-10.

x is the variable in the equation.

Plus and minus are operators.

To solve for x, subtract 2x from both sides:

3x-2x-4=2x-2x-10

x-4=-10

Add 4 on both sides:

x=-10+4

x=-6

Hence, the value of x is -6.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer:

32

Step-by-step explanation:

it multiplies by -2 every time

This question is missing the options, here is the complete question:

Read the quotation from "Song of Myself."

I have no chair, no church, no philosophy,

I lead no man to a dinner-table, library, exchange,

But each man and each woman of you I lead upon a knoll,

My left hand hooking you round the waist,

My right hand pointing to landscapes of continents and the public road.

Which statement best describes how these lines reflect the theme of the poem?

A. They indicate that Whitman is more interested in communicating with individuals than society.

B. They show Whitman’s sociability and his interest in human nature.

C. They reflect Whitman’s desire to share his love of the wilderness.

D. They suggest that Whitman views all individuals as equals who should communicate with each other as such.

The answer to this question is A. They indicate that Whitman is more interested in communicating with individuals than society.

Explanation:

In the poem "Song of Myself", Walt Whitman focuses on recognizing his value as an individual and the value of other individuals in society. In the section presented, the author shows the importance of communicating and interacting with individuals as he explains "My left hand hooking you round the waist", which shows through figurative language the interaction between individuals. This is emphasized by the use of "each man and each woman" as Whitman does not refer to others as a group but recognizes individuality. Thus, the theme or message about the importance of individuals is reflected in these lines because "they indicate that Whitman is more interested in communicating with individuals than society."

Answer:

A: They indicate that Whitman is more interested in communicating with individuals than society.

Step-by-step explanation:

Edge 2021

Answer:

Option (D)

Step-by-step explanation:

Coordinates of the points J, E and V are,

J → (-4, -5)

E → (-4, -3)

V → (-1, -1)

This triangle is translated by the rule [tex]T_{<2,4>}[/tex] given in the question.

Coordinates of the image will follow the rule,

(x, y) → [(x + 2), (y + 4)]

following this rule coordinates of the image triangle will be,

J(-4, 5) → J'(-2, -1)

E(-4, -3) → E'(-2, 1)

V(-1, -1) → V'(1, 3)

Therefore, points given in the option (D) will be the answer.

Answer:

B. [tex]\frac{450}{10000}[/tex]

Step-by-step explanation:

The probability of rolling a 2 is 10 out of 100 (18+10+12+25+3+32), or 10%.

The probability of the coin landing heads up is 45 out of 100. or 45%.

Multiply both probabilities together.

[tex]\frac{10}{100}[/tex]×[tex]\frac{45}{100}[/tex]

[tex]\frac{450}{10000}[/tex]

I hope this helps!

pls ❤ and give brainliest pls

Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

Answer:

1.

6r + 7 = 13 +7r

6r - 7r = 13-7

-r = 6

r = 6

2.

13 - 4x = 1-x

-4x +x = 1 -13

-3x = -12

x = -12 / -3

x = 4

3.

-7x - 3x + 2 = -8x -8

-10x +2 = -8x -8

-10x +8x = -8 -2

-2x = -6

x = -6 / -2

x = 3

4.

-8 - x  = x- 4x

-8 - x  = -3x

-x + 3x = -8

2x = -8

x = -8 / 2

x = -4

5.

-14 + 6b + 7 -2b = 1 + 5b

-7 + 4b = 1 + 5b

4b - 5b = 1 + 7

-b = 8

b = -8

6.

n + 2 = -14 -n

n + n = -14 -2

2n = - 16

n = -16 / 2

n = -8

7.

n - 3n = 14 -4n

-2n = 14 - 4n

-2n +4n = 14

2n = 14

n = 14 /2

n = 7

8.

7a - 3 = 3 + 6a

7a - 6a = 3 +3

a = 6

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

Answer:

The prime factors are: 3 x 3 x 17 x 17. or also written as { 3, 3, 17, 17 }

Step-by-step explanation:

Person above agrees

Answer:

117°

Step-by-step explanation:

Arc ABC (AB + BC) is intercepted by angle D.

Therefore, Arc ABC is 2 × m<D. (Inscribed Angle Theorem)

AB = 91°

m<D = 104°

Let BC = x

Arc ABC = (91° + x)

Thus,

91° + x = 2 × 104°

Solve for x

91 + x = 208

Subtract 91 from both sides

91 + x - 91 = 208 - 91

x = 117

Measure of arc BC = 117°

Answer:

The remaining dimensions of the triangle are [tex]A \approx 31.7368^{\circ}[/tex], [tex]C \approx 18.2632^{\circ}[/tex] and [tex]a \approx 45.3201[/tex].

Step-by-step explanation:

As angle B is an obtuse angle, Angle C can be obtained by means of the Law of Sine:

[tex]\frac{b}{\sin B}=\frac{c}{\sin C}[/tex]

[tex]\sin C = \frac{b}{c}\cdot \sin B[/tex]

[tex]C = \sin^{-1}\left(\frac{b}{c}\cdot \sin B \right)[/tex]

Where:

[tex]b[/tex], [tex]c[/tex] - Measures of triangle sides, dimensionless.

[tex]B[/tex], [tex]C[/tex] - Measures of angles, measured in degrees.

If [tex]b = 27[/tex], [tex]c = 66[/tex] and [tex]B =130^{\circ}[/tex], then:

[tex]C = \sin^{-1}\left(\frac{27}{66}\cdot \sin 130^{\circ} \right)[/tex]

[tex]C \approx 18.2632^{\circ}[/tex]

Given that sum of internal angles in triangles equals to 180º, the angle A is now determined:

[tex]A = 180^{\circ}-B-C[/tex]

[tex]A = 180^{\circ}-130^{\circ}-18.2632^{\circ}[/tex]

[tex]A \approx 31.7368^{\circ}[/tex]

Lastly, the length of the side [tex]a[/tex] is calculated by Law of Cosine:

[tex]a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c\cdot \cos A}[/tex]

[tex]a =\sqrt{27^{2}+66^{2}-2\cdot (27)\cdot (66)\cdot \cos 31.7368^{\circ}}[/tex]

[tex]a \approx 45.3201[/tex]

The remaining dimensions of the triangle are [tex]A \approx 31.7368^{\circ}[/tex], [tex]C \approx 18.2632^{\circ}[/tex] and [tex]a \approx 45.3201[/tex].

Answer:

See below

Step-by-step explanation:

Given:

AC ≅ CE

To Prove:

ΔABC ≅ ΔEDC

Proof:

Statements                           |     Reasons

ΔABC ⇔ ΔEDC                      |

AC ≅ CE                                  |      Given

∠ACB ≅ ∠ECD                       |   Vertical Angles are congruent

∠BAE ≅ ∠DAE                        | Alternate Interior Angles are Congruent

ΔABC ≅ ΔEDC                       | S. A . A Postulate

[Hence Proved]

Answer:

apples = 160

oranges = 100

Step-by-step explanation:

Let apples be x and oranges be y

so

x = 60+y

now he have

y = x + 20

y-20 = x

(60+y)/2 = y-20

60+y = 2y-40

60+y-2y = -40

or, 60-y = -40

or, 60+40 = y

or, y = 100

so, y = 100

now, x = 60+100

so, x = 160

Answer:

100 oranges

160 apples

Step-by-step explanation:

Initially let x = oranges, so apples = x + 60

He sells 1/2 the apples which is (x + 60)/2, then there are 20 more oranges than apples so x (the oranges) will = the remaining apples (x + 60)/2 plus 20 OR

x = (x + 60)/2 + 20 multiply each term by 2 to get rid of the denominator

2x = (x + 60) + 40

2x - x = 60 + 40

x = 60 + 40 = 100 oranges AND

x + 60 or 160 apples

Answer:  Yes. The sales tax is 5% which equals $4.20 for $84

Step-by-step explanation:

[tex]\dfrac{0.60}{12}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{1.20}{24}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{1.80}{36}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{2.40}{48}=0.05\qquad \rightarrow 5\%[/tex]

The sales tax rate is proportional for the values in the table.

$84 x 0.05 = $4.20

The sales tax on a purchase of $84 is $4.20

Answer:

87°10''

Step-by-step explanation:

In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720

In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240

We now add the fractional parts plus the whole part of the angles together.

So,

49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.

We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600

86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' +  1'  + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''

So, 49°32'55'' + 37°27'15'' = 87°10''

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]

which simplifies down a bit to

[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to

[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°