A consumer survey conducted in two consecutive years determined that a fixed baskets of goods and services cost $95.00 in year 1 and $96.25 in year 2.

The rate of inflation from year 1 to year 2 is ___ %.

Fill in blank.

Answer:

70 km/h

Step-by-step explanation:

A car is travel 210 km in 3 hours.

Distance, d = 210 km

Time, t = 3 hours

We can find the speed of the car. The speed of an object is equal to the total distance divided by time taken.

v = d/t

Substitute the values,

[tex]v=\dfrac{210\ km}{3\ h}\\\\v=70\ km/h[/tex]

So, the required speed of the car is 70 km/h.

Answer: I believe it's -2

Step-by-step explanation: PLease mark me as brainlist

Answer:

4 hours and 20 minutes

Step-by-step explanation:

I'll add the steps if you want me to.

Answer:

7 sheets

Step-by-step explanation:

Dimension of gabble = 42' by 5'

Dimension of standard plywood sheet : 4' by 8'

Area that will be covered by gabble :

Length * width :

42 * 5 = 210 in²

Area covered by 1 plywood sheet :

4 * 8 = 32 in²

Number of plywood sheets required :

Area of gabble / Area of 1 plywood sheet

210 in² / 32 in²

= 6.5625

This means the number of plywood sheets that will be required is 7

for adding and subtracting fractions:

always have the same denominator.

9/11 - 1/3

27/33 - 11/33

= 16/33

request: please mark brainiest, and click the thanks button if correct <3

Answer:

After 300 minutes of long distance calls it will be cheaper  for a customer to purchase the first plan.

Step-by-step explanation:

With the information provided, you have to find the amount of minutes of long distance calls where it will be cheaper for the customer to purchase the first plan by stating that the price of the second plan which is calculated by adding up the fixed fee plus the result of multiplying the price per minute for the number of minutes is higher than the price of the first plan, which could be express as:

10+0.05x>25, where:

x is the number of minutes

Now, you can solve for x:

0.05x>25-10

0.05x>15

x>15/0.05

x>300

According to this, the answer is that after 300 minutes of long distance calls it will be cheaper  for a customer to purchase the first plan.

Answer:

5 black counters

Step-by-step explanation:

1/3 to sixths would equal two sixths. The problem already told us three of the siths, meaning the 15 are the other three sixths. Since 3/6 are half of the bag, then multiply 15 by two. Since there are 30 in all, and the bags are in thirds, you devide by three. Since 10 is the 1/3, you divide by 2 (10 by 2) since you multiply 1/3 to get the equivalant of 2/6. There are 5 black ones.

You could've also had done 30 divided by 6 to get 5 which is still the 1/6 of the bag.

Answer:

Step-by-step explanation:

From the picture attached,

∠4 = 45°, ∠5 = 135° and ∠10 = ∠11

Part A

∠1 = ∠4 = 45°  [Vertically opposite angles]

∠1 + ∠3 = 180° [Linear pair of angles]

∠3 = 180° - ∠1

     = 180° - 45°

     = 135°

∠2 = ∠3 = 135°  [Vertically opposite angles]

∠8 = ∠5 = 135° [Vertically opposite angles]

∠5 + ∠6 = 180° [Linear pair of angles]

∠6 = 180° - 135°

∠6 = 45°

∠7 = ∠6 = 45° [Vertically opposite angles]

By triangle sum theorem,

m∠4 + m∠7 + m∠10 = 180°

45° + 45° + m∠10 = 180°

m∠10 = 180° - 90°

m∠10 = 90°

m∠10 = m∠12 = 90°  [Vertically opposite angles]

m∠10 = m∠11 = 90° [Given]

Part B

1). ∠1 ≅ ∠4  [Vertically opposite angles]

2). ∠7 + ∠5 = 180° [Linear pair]

3). ∠9 + ∠10 = 180° [Linear pair]

Answer:

4/6

Step-by-step explanation:

x2

hope it helps

Answer:

8

Step-by-step explanation:

Answer:

3.375

Step-by-step explanation:

Answer:

   y² + 2 x y

Step-by-step explanation:

Given polynomials

                 x² + 3x y -y²   and x² + 5xy

The subtract  x² + 3x y -y²   from x² + 5xy

                  x² + 5xy - ( x² + 3x y -y²)

          ⇒     x² + 5xy -x² - 3xy +y²

       ⇒        2 x y + y²

Answer:

26 feet 2 inches

Step-by-step explanation:

Given:

78 feet 6 inches

Divide by 3

Computation:

78 feet 6 inches

78/3 feet 6/3 inches

26 feet 2 inches

Answer:

I choose symmetrical    

Answer:

9x ≥ 81

Step-by-step explanation:

Given

Total = $81 (atleast)

Required

Represent as an inequality

Let the number of weeks he x

If he saves $9 in a week, then he will save $9x in weeks

From the question we understand that he needs at least $81

At least, in inequality means ≥

So, the inequality is:.

9x ≥ 81

Answer:

oi['po

[

[

lk/

Step-by-step explanation:

l/kkllk/lk/l/

Answer:

<2 and <7 = alternate interior angles

<4 and <8 = corresponding angles

<1 and <8 = alternate exterior angles

<1 and <5 = corresponding angles

<4 and <7 = none

Step-by-step explanation:

Answer:

2 hours and 27 minutes

Step-by-step explanation:

300 divided by 132.1 = 2.271

2.27 (simplified)

Answer:

2.27100681302 hours

Step-by-step explanation:

hope this helps <3

Answer:

[tex] - 9 \times - 10 = 90[/tex]

Step-by-step explanation:

the answer is -9

hello, it's easy❤

answer is -9

Answer:

Histogram thats on the right

Step-by-step explanation:

process of elimination and more specific=qualifying data

Answer:

7 kids

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

im pretty sure its the first one

Step-by-step explanation:

Answer:

h ≅ 16.29 cm

[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]

Step-by-step explanation:

From the conical funnel;

Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)

Then;

[tex]tan \theta= \dfrac{r}{h}[/tex]

[tex]tan \theta= \dfrac{8}{16}[/tex]

[tex]tan \theta= \dfrac{1}{2}[/tex]

∴

[tex]\dfrac{r}{h} = \dfrac{1}{2}[/tex]

[tex]r = \dfrac{h}{2}[/tex]

The volume (V) of the cone is expressed as:

[tex]V = \dfrac{1}{3}\pi r ^2 h[/tex]

[tex]V = \dfrac{1}{3}\pi (\dfrac{h}{2})^2 h[/tex]

[tex]V = \dfrac{\pi h^3}{3\times 4}[/tex]

[tex]\dfrac{dv}{dt} = \dfrac{3 \pi h^2}{3 \times 4} \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dv}{dt} = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

Given that:

[tex]\dfrac{dv}{dt} = 12 \pi[/tex]

Then:

[tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

[tex]- \int 48 \ dt = \int h^2 \ dh[/tex]

[tex]\dfrac{h^3}{3}= -48 t + c[/tex]

[tex]At \ t = 0 \ ; h = 0[/tex]

∴

[tex]\dfrac{0^3}{3} = -48(0) + c[/tex]

c = 0

So;

[tex]\dfrac{h^3}{3}= -48 t + 0[/tex]

[tex]\dfrac{h^3}{3}= -48 t[/tex]

t = 30

[tex]\implies h = (-48(30))^{1/3}[/tex]

h = 16.2865

h ≅ 16.29 cm

Thus;

from [tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

[tex]\dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} } =\dfrac{dh}{dt}[/tex]

[tex]\dfrac{dh}{dt} = \dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} }[/tex]

[tex]\dfrac{dh}{dt}=\dfrac{-12 \times 4} { {16.29^2} }[/tex]

[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]

Answer: That is your answer and have a nice day Byeee

Step-by-step explanation:

Answer:

20 km/s

Step-by-step explanation:

Hope this helps.

Answer and explanation:

The inequality theorem states that the sum of the length of two sides of a triangle is greater than the third side of a triangle.

Also the difference of two sides of a triangle is less than the third side

If we apply this theorem here,

Then we say the third side x<20+25 and x>25-20

Therefore x<45 but >5

5<x<45

Possible sides of x include: 6,7,8,9,10,11,12,13,14,15,16,17,18...not equal to 45 or more than

The answer to this is yes

Answer:

x-5=4 or simply 4+5

Step-by-step explanation:

Im not sure if this is how you mean they both have a way of showing the sum of 4 and 5.

Answer:

4 + 4 + 1 = 9

Step-by-step explanation:

to solve this, we first find the sum of 4 and 5, which is 9.

Then, we can observe our answer choices, and see that option 4.) would be correct, because the sum still is equal to nine, even though the numbers are different from the original problem.