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3 years ago

14

At a store, Claire bought 1 sandwich and 2 sodas for $5.50. A sandwich costs $1.00 more than a soda. How much did the sandwich c

ost?

2 answers:

katrin2010 [14]3 years ago

7 0

X = sandwich, y = soda

x + 2y = 5.5
x = y +1

Solve the system of equations and you have: y = 1.5 and x = 2.5

Sloan [31]3 years ago

3 0

1.50 is how much the sandwhich cost

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After a 16% increase the price of a pair of running shoes was $40.60. What was the old price of the shoes

Delvig [45]

Answer:

34.10

Step-by-step explanation:

Note:

16% = .16

Important:

What was the <u>old price</u> of the shoes

Solution:

40.60 x .16 = 6.946 [Round:6.50]

40.60-6.50= 34.10

Hence, the old price of the shoes is $34.10

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1 year ago

a broker gets rs 20000 as commission from sale of a piece of land which costs rs 8000000. Find the rate of commission.

Airida [17]

Answer:

0.25%

Step-by-step explanation:

Rate of commission

= (commission*100)/cost of land

=( 20000*100)/8000000

= 2000000/8000000

=2/8

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2 years ago

Consider the set T = {1, 2, 3, 4, 5, 6}. Let R = {(a, b) | a divides b} be a relation on the set T. Identify the missing ordered

serg [7]

Answer: The missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

Step-by-step explanation: We are given the following set :

T = {1, 2, 3, 4, 5, 6}.

And, R = {(a, b) | a divides b} be a relation on the set T.

We are to identify the missing pairs from the following list of all ordered pairs in the given relation R on the set T :

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).}.

Since R contains the ordered pairs (a, b) such that a divides b, so all the ordered pairs in R are

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), and (6, 6).

Thus, the missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

4 0

3 years ago

What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

Naddik [55]

ANSWER

The turning point is

$(1,-3).$

EXPLANATION

The function given to us is

$f(x) = (x - 1) ^{3} - 3$

At turning point,
$f '(x) = 0$

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

We divide through by 3.

$(x - 1) ^{2} = 0$

We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

$f(1) = (1- 1) ^{3} - 3$

$f(1) = 0 - 3$

$f(1) = - 3$

Therefore the turning point is

$(1,-3)$

C is the correct answer.

6 0

3 years ago

Read 2 more answers

A lighthouse operator sights a sailboat at an angle of depression of 12 degrees. If the sailboat is 80m away, how tall is the li

mart [117]

Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.

Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h

In short,
adjacent = 80
opposite = h

We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below

So the lighthouse is roughly 17.0045249336018 meters tall

Answer: 17.0045249336018

Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to

4 0

3 years ago