Solve for x.
5(x - 10) = 30 – 15x
O x= 1
O x = 4
O x = 5
O x = 8

Answer:

b. $7732

Step-by-step explanation:

Value of a depreciating product:

The value of a depreciating product, after t years, is given by:

[tex]V(t) = V(0)(1 - r)^t[/tex]

In which V(0) is the initial value and r is the decay rate, as a decimal.

Joe bought a car for $9,000 in 2013. His purchase has depreciated 2.5% every year since then.

This means that [tex]V(0) = 9000, r = 0.025[/tex]. So

[tex]V(t) = V(0)(1 - r)^t[/tex]

[tex]V(t) = 9000(1 - 0.025)^t[/tex]

[tex]V(t) = 9000(0.975)^t[/tex]

What was his car worth in 2019 to the nearest dollar?

2019 is 2019 - 2013 = 6 years after 2013, so this is V(6).

[tex]V(6) = 9000(0.975)^6 = 7732[/tex]

The correct answer is given by option b.

Answer:

46.75 cm²

Step-by-step explanation:

The figure can be decomposed into 3 rectangles.

Area of the figure = area of rectangle A + area of rectangle B + area of rectangle C

✔️Area of rectangle A = L*W

L = 4 cm

W = 5½ cm = 5.5 cm

Area = 4*5.5 = 22 cm²

✔️Area of rectangle B = L*W

L = 8½ - (4 + 3) = 8½ - 7 = 1.5 cm

W = 5½ - 2 = 3.5 cm

Area = 1.5*3.5 = 5.25 cm²

✔️Area of rectangle C = L*W

L = 3 cm

W = 6½ cm = 6.5 cm

Area = 3*6.5 = 19.5 cm²

✔️Area of the figure = 22 + 5.25 + 19.5 = 46.75 cm²

Answer:

69420

Step-by-step explanation:

6

Answer:

La respuesta es treinta coma seis.

Espero que esto ayude.

Answer:

4r + 4(r + 3) = 68

r = 7 miles per hour

r + 3 = 10 miles per hour

Step-by-step explanation:

distance = rate * time

a)

4r + 4(r + 3) = 68

Distribute

4r + 4r + 12 = 68

8r + 12 = 68

8r = 56

r = 7 miles per hour

r + 3 = 10 miles per hour

a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68

b) The speed of both cyclists are 3mi/hr and 10mi/hr respectively

The formula for calculating the distance covered is expressed as:

Distance = speed * time

Let the speed covered by one cyclist be t

If one cycles 3 miles per hour faster than the other, the speed of the other will be t + 3

If both meet after 4 hours of riding, then their time will be 4 hours

Distance covered the first cyclist = 4r

Distance covered by the second = 4(r+3)

If the two cyclists are 68 miles apart, then:

4r + 4(r+3) = 68

a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68

b) Expand the equation in a to get "r"

4r + 4r + 12 = 68

8r + 12 = 68

8r = 68 - 12

8r = 56

r = 56/8

r = 7miles per hour

Speed of the first cyclist = 7mi/hr

Speed of the second cyclist = 3 + 7mi/hr = 10mi/hr

Hence the speed of both cyclists are 3mi/hr and 10mi/hr respectively

Learn more here: https://brainly.com/question/19915685

Answer:

48

Step-by-step explanation:

MPQ + QPN = MPN

9x-6 + 5x+7 = 85

Combine like terms

14x+1 = 85

Subtract 1 from each side

14x+1-1 = 85-1

14x = 84

Divide by 14

14x/14 = 84/4

x=6

We want MPQ

MPW = 9x-6 = 9*6 -6 = 54-6 =48

Answer:

65 miles

Step-by-step explanation:

y=55+0.15x

64.75=55+0.15x

9.75=0.15x

x=9.75/0.15

x=65 miles

Answer:

x=3

Step-by-step explanation:

2 triangles are proportional so we have

4/6=x/4,5

--> x=(4.4,5)/6=3

You can also use sin cos but this way is faster

Answer:

ya

Step-by-step explanation:

Answer:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Step-by-step explanation:

Given

[tex]A \to Apple[/tex]

[tex]B \to Banana[/tex]

[tex]C \to Cherry[/tex]

From the rows, the equation is:

[tex]B + 2A =12[/tex] --- (1)

[tex]2B + C = 13[/tex] --- (2)

[tex]A + 2C = 14[/tex] --- (3)

Make A the subject in: [tex]A + 2C = 14[/tex]

[tex]A = 14 -2C[/tex]

Substitute [tex]A = 14 -2C[/tex] in [tex]B + 2A =12[/tex]

[tex]B + 2(14 - 2C ) = 12[/tex]

[tex]B + 28 - 4C = 12[/tex]

Make B the subject

[tex]B = 4C - 28 +12[/tex]

[tex]B = 4C -16[/tex]

Substitute [tex]B = 4C -16[/tex] in [tex]2B + C = 13[/tex]

[tex]2(4C - 16) + C = 13[/tex]

[tex]8C - 32 + C = 13[/tex]

Collect like terms

[tex]8C + C = 13+32[/tex]

[tex]9C = 45[/tex]

Divide by 9

[tex]C = 5[/tex]

Recall that:

[tex]B = 4C -16[/tex]

[tex]B =4*5-16[/tex]

[tex]B =20-16[/tex]

[tex]B =4[/tex]

Recall that:

[tex]A = 14 -2C[/tex]

[tex]A= 14 -2*5[/tex]

[tex]A= 14 -10[/tex]

[tex]A =4[/tex]

Hence:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Answer: 1,6         2,2       5,0    These are the correct answers.

Step-by-step explanation:

Answer:

8.58

Step-by-step explanation:

the length of minor arc XZ

= 82/360 × 2 × 3.14 × 6

= 8.58 in

Answer:

6.8 ounces

Step-by-step explanation:

1 lb = 16 oz

3.40/8 * 16 = 6.8

Answer:

4

Step-by-step explanation:

yes

Answer:

Can you please organize them so that the exponents are marked as x^2?

Step-by-step explanation:

To me, none of this is in standard form because the numbers are before the variables.

Answer:

JK = 21 ft

Step-by-step explanation:

To find JK = x, apply Trigonometry function.

Reference angle = 65°

Opposite side = JK = x

Adjacent side = KL = 10 ft

Apply TOA:

Tan 65° = Opp/Adj

Tan 65° = x/10

Multiply both sides by 10

10*Tan 65° = x

21.4450692 = x

x = 21 ft (nearest feet)

Answer:

B. MIM

Step-by-step explanation:

A = 9

X = 5

I = 4

S = 2

E = 0

M = 7

XIS = 542, SEX = 205

542 + 205 = 747

747 = MIM

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{1\times1=1}\\\\\bullet\large\textsf{This statement is TRUE because anything times (or multiplied)\ by 1}\\\large\textsf{is mostly likely 1}[/tex]

[tex]\mathsf{1+9=2\times5}\\\mathsf{1+9=\bf 10}\\\mathsf{2\times5}\\\mathsf{= 5+5}\\\mathsf{= 2 + 2 + 2 + 2 + 2}\\\mathsf{= \bf 10}\\\\\\\bullet\large\textsf{This statement is also TRUE because BOTH NUMBERS are EQUIVALENT}\\\large\textsf{to EACH OTHER}[/tex]

[tex]\mathsf{1 + 9 + 17 = 9\times3}\\\\\mathsf{1+9+17}\\\mathsf{1 + 9 = \bf 10}\\\mathsf{\bold{10}+ 17}\\\mathsf{= \bf 27}\\\\\\\\\\\mathsf{9\times3}\\\mathsf{= 9+9+9}\\\mathsf{3 +3 +3 +3+ 3 +3 + 3 + 3+ 3}\\\mathsf{= \bf 27}\\\\\\\\\\\bullet\large\textsf{This statement as well is TRUE because BOTH NUMBERS are}\\\large\textsf{equivalent to each other}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: All statements to these equations are \bf \huge TRUE}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer

Step-by-step explanation:

Replace x and y

[tex](3 \: \: \: 25)[/tex]

[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]

So, the point (3,25) lie on the line y=6x+7

hope this helps you.

Have a nice day!

Answer:

3

Step-by-step explanation:

jade owl had 3 more extra than queen bee

Answer:

30

Step-by-step explanation:

one book symbol is 10 books, there's 3 for jade and 6 for queen. 60-30

Answer:

(x+8)^2=0

Step-by-step explanation:

x^2+16x+64=0

8x8=64

8+8=16

Therefore, 8 fits

(x+8)^2=0

If this helps please mark as brainliest

Answer:

3.8

Step-by-step explanation:

We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.

Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8

Answer:

Step-by-step explanation:

take 34 degree as reference angle

using tan rule

tan 34=opposite/adjacent

0.67=x/16

0.67*16=x

10.72=x

10.7=x (after converting it to the nearest tenth)

Answer: Feet

Step-by-step explanation:

Answer:

V:  x= -3

H:  y= -3

Step-by-step explanation:

Answer:

54cm and 36cm

Step-by-step explanation:

triangle a : triangle b

50cm² : 16cm²

25 : 8

thus,

area of triangle a :

2cm×25cm

=50cm²

area of triangle b :

2cm×16cm

=32cm²

then,

perimeter of triangle a:

2cm+2cm+25cm+25cm

=54cm

perimeter of triangle b:

2cm+2cm+16cm+16cm

=36cm