Points B and D are points of tangency. Find the values of x.
D
C С
2x + 5
B
A
3x2 + 2x - 7
X=

The expression which represents the number of pieces of candy that Michelle has will be y = 2c + 15.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Michelle has fifteen more than two times as many pieces of candy as her sister.

Then the expression which represents the number of pieces of candy that Michelle has will be

If the variable c represents the number of pieces of candy that her sister has. Then we have

Let y be the number of candy that Michelle has.

Then we have

y = 2c + 15

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Answer: See explanation

Step-by-step explanation:

Here's the complete question:

A family has a monthly budget of $2,400. How much money is spent on each category? 44% is spent on housing. 23% is spent on food. 6% is spent on clothing. 17% is spent on transportation. The rest is put into savings.

Housing = 44%

Food = 23%

Clothing = 6%

Transportation = 17%

Savings = 1 - (44% + 23% + 6% + 17%) = 10%

Amount spent on Housing = 44% × $2400 = 0.44 × $2400 = $1056

Amount spent on Food = 23% = 23% × $2400 = 0.23 × $2400 = $552

Amount spent in Clothing = 6% = 6% × $2400 = 0.06 × $2400 = $144

Amount spent on Transportation = 17% = 17% × $2400 = 0.17 × $2400 = $408

Savings = 10% = 10% × $2400 = 0.1 × $2400 = $240

Answer:

220

Step-by-step explanation:

400 x .55 = 220

Answer:14/15 + 42/11

Step-by-step explanation:

Answer:-14

Step-by-step explanation:

Answer:

{y | y > 12}

Step-by-step explanation:

just took the test

Answer:

100 miles is the answer

Step-by-step explanation:

3 inches = 20 miles

15/3 = 5

5 x 20

= 100 miles

========================================================

Work Shown:

(3 inches)/(20 miles) = (15 inches)/(x miles)

3/20 = 15/x

3*x = 20*15

3x = 300

x = 300/3

x = 100

Therefore, 15 inches on the map correspond to 100 miles in real life.

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

We could approach the problem like this:

3 inches = 20 miles

5*(3 inches) = 5*(20 miles)

15 inches = 100 miles

In the second step, I multiplied both sides by 5 to turn the "3 inches" into "15 inches".

============================================================

Explanation

Shape A has surface area 4 cm^2

Shape B has surface area 25 cm^2

The ratio of the surface areas, from A to B, is 4:25

Apply the square root to both parts and we get 2:5 as the ratio of the corresponding sides. If shape A has a height of 2, then shape B will have a corresponding height of 5. I recommend drawing out two squares with these properties to see that their areas form the ratio mentioned above.

The ratio of the volume of shape B to shape C's volume is 27:64. Apply the cube root to both parts to get 3:4. This means if the height of shape B is 3, then the corresponding height on shape C is 4.

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

We found these ratios for the sides

The goal is to find the ratio A:B:C which ties all three shapes together showing how they all connect in terms of their corresponding sides.

Note how in A:B = 2:5 we have B = 5, but in B:C = 3:4 we have B = 3. We cannot combine the two ratios in this form since the B terms don't match.

The good news is that we can apply scaling to get the B values to match up

The ratio 2:5 is equivalent to 6:15 after multiplying both parts by 3

The ratio 3:4 is equivalent to 15:20 after multiplying both parts by 5.

The multipliers 3 and 5 are used because note how 15 is the LCM of those previous B values mentioned.

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

After scaling those ratios, we have

From here, we can quickly see that A:B:C = 6:15:20. This is possible because the '15's match up for the B terms.

If shape A has a height of 6, then shape B has a height of 15, and C has a height of 20. All of these heights correspond to one another.

Then we just erase out the B part to conclude A:C = 6:20 which reduces to A:C = 3:10 after dividing both parts by 2.

Answer:

La distancia recorrida por el móvil es 240 metros.

Step-by-step explanation:

Puesto que el móvil experimenta movimiento rectilíneo uniformemente acelerado, la distancia recorrida es determinada por las siguientes ecuaciones cinemáticas:

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)

[tex]v = v_{o} + a\cdot t[/tex] (2)

Donde:

[tex]\Delta x[/tex] - Distancia recorrida, medida en metros.

[tex]v_{o}[/tex] - Velocidad inicial, medida en metros por segundo.

[tex]v[/tex] - Velocidad final, medida en metros por segundo.

[tex]a[/tex] - Aceleración, medida en metros por segundo al cuadrado.

[tex]t[/tex] - Tiempo, medido en segundos.

En (2) despejamos el tiempo:

[tex]a = \frac{v-v_{o}}{t}[/tex]

Si aplicamos esta ecuación en (1):

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot \left(\frac{v-v_{o}}{t} \right)\cdot t^{2}[/tex]

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot (v-v_{o})\cdot t[/tex]

[tex]\Delta x = \frac{1}{2}\cdot v_{o}\cdot t+\frac{1}{2}\cdot v\cdot t[/tex]

[tex]\Delta x = \frac{1}{2}\cdot (v_{o}+v)\cdot t[/tex] (3)

Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]v = 60\,\frac{m}{s}[/tex] and [tex]t = 8\,s[/tex], entonces la distancia recorrida es:

[tex]\Delta x = \frac{1}{2}\cdot \left(0\,\frac{m}{s}+60\,\frac{m}{s}\right) \cdot (8\,s)[/tex]

[tex]\Delta x = 240\,m[/tex]

Answer:

John ate 7/12 more of the candy than Sandy.

Step-by-step explanation:

3/4 is equivalent to 9/12.

1/6 can be expressed as 2/12.

Step 3: 9/12 - 2/12 = 7/12.

Now that they have the same denominators, perform the subtraction process.

Then,John ate 7/12 more of the candy than Sandy.

I would say D

Hope I helped :)

Answer:

E’ is (11,-1)

Step-by-step explanation:

Here, we want to get the new coordinates of E

The translation is 4 units right ( add 4 to x-value) and 3 units down ( subtract 3 from y-value)

So for E, we have

(7 + 4, 2-3)

= (11, -1)

Answer:

The solution to the system of equations will be:

[tex]x=0,\:y=-\frac{11}{5}[/tex]

Step-by-step explanation:

Given the expression

[tex]x - 5y = 11[/tex]

[tex]3x - 5y = 11[/tex]

solving the expression

[tex]\begin{bmatrix}x-5y=11\\ 3x-5y=11\end{bmatrix}[/tex]

Multiplying x-5y = 11 by 3:  3x-15y=33

so

[tex]\begin{bmatrix}3x-15y=33\\ 3x-5y=11\end{bmatrix}[/tex]

and

[tex]3x-5y=11[/tex]

[tex]-[/tex]

[tex]\underline{3x-15y=33}[/tex]

[tex]10y=-22[/tex]

now solving 10y = -22 for y

[tex]10y=-22[/tex]

divide both sides by 10

[tex]\frac{10y}{10}=\frac{-22}{10}[/tex]

simplify

[tex]y=-\frac{11}{5}[/tex]

For 3x-5y=11 plug in y = -11/5

[tex]3x-15\left(-\frac{11}{5}\right)=33[/tex]

[tex]3x+15\cdot \frac{11}{5}=33[/tex]

[tex]3x+33=33[/tex]

Subtract 33 from both sides

[tex]3x+33-33=33-33[/tex]

Simplify

[tex]3x=0[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{0}{3}[/tex]

Simplify

[tex]x=0[/tex]

Thus, the solution to the system of equations will be:

[tex]x=0,\:y=-\frac{11}{5}[/tex]

Answer:

70 mm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 42² + 56² = 1764 + 3136 = 4900 ( take the square root of both sides )

c = [tex]\sqrt{4900}[/tex] = 70

Answer:

[tex] m = \frac{ \sqrt[3]{243b} }{17} [/tex]

Step-by-step explanation:

there, hope it helps! :)

Answer:

-2 Because i did the test and got a 100% on it

Answer:

3/6=1/2

Step-by-step explanation:

1/6+1/6+1/6=3/6

The most simplified answer is 1/2

The fraction 1/6 + 1/6 +1/6 is equals to the 1/2 after adding them all.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

= 1/6 + 1/6 +1/6

Taking LCM of 6, 6, and 6 is 6

= (1+1+1)/(6)

= 3/6

Divide by 3 on numerator and denominator.

=1/2

Thus, the fraction 1/6 + 1/6 +1/6 is equals to the 1/2 after adding them all.

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Answer: 1 1/4s or 1.25s

Step-by-step explanation:

From the question, we are informed that this year Martin's income is 1/4 greater than his income from last year. We are further told that his income from last year is represented by s.

Therefore, hus income this year will be:

= s + (1/4 × s)

= s + 1/4s

= 1 1/4s or 1.25s

Answer:

it is 1/4s

Step-by-step explanation:

Answer:

the answer would be 216 in 27 minutes.

Answer: 216

Step-by-step explanation:

If the scanner is able to scan 56 photos in 7 minutes, then it scans 8 photos in 1 minute. Under this rule of 8:1, then it can scan 216 photos in 27 minutes.

Answer: y= -3/8|x|

Step-by-step explanation: so D oh khan academy

The function after reflection is y= -3/8 |x|

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction.

Given:

y= |x|

So, reflection for x axis

y= -|x|

and, scaled vertically by a factor of 3/8

y= -3/8 |x|

Hence, the function after reflection is y= -3/8 |x|

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Answer:

7 saves per game

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: X = 300

So it would be "D"

Answer:

8..

Step-by-step explanation:

-3x-5y=61

7x-5y=-9

-10x=70

x=-7

y=-8..

Answer:

2

Step-by-step explanation:

With regards to the above, we can sum up the foods ate together by the 5 cats, then we have;

= 1/5 + 1/5

= 2/5

Then we can multiply the value above by the 5 cats

= 2/5 × 5

= 10/5

= 2

The cats eat 2 foods together.

Answer:

B

Step-by-step explanation:

The equivalent expression for the expression -2/5(15 - 20d + 5c) is

-6 + 8d - 2c

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-2/5 x (15 - 20d + 5c)

= -2/5 x 15 + 2/5 x 20 - 2/5 x 5c

= -2 x 3 + 2 x 4 - 2c

= -6 + 8d - 2c

Thus,

The equivalent expression is -6 + 8d - 2c.

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