You are going on vacation. You have $105 to take with you. You expect to spend $15 each day. You want to have $30 remaining at the end of the vacation. Write an explicit formula to represent this scenario. For how many days can you spend $15 a day?

Answers

Answer 1

Answer:

105-15x=30

5 days

Answer 2

You can spend the amount of $15 a day for 5 days if you have $105 to take with you.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

You're going on vacation. You have $105 with you. You plan to spend $15 per day. You want to have $30 left at the end of your trip.

Let the number of days would be x

According to the given information, the required solution would be as

105 - 15x = 30

The above explicit formula represents the given scenario.

105 - 15x = 30

Rearrange the terms in the above equation,

15x = 105 - 30

Apply the subtraction operation,

15x = 75

x = 75/5

Apply the division operation,

x = 5

Therefore, you can spend the amount of $15 a day for 5 days.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

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Related Questions

Which of the following statements are true regarding functions?
(Check all that apply)

A) The vertical line test may be used to determine whether a function is one-to-one
B) A function is a relation in which each value of the input variable is paired with exactly one value of the output variable
C) A sequence is a function whose domain is the set of real numbers
D) The horizontal line test may be used to determine whether a function is one-to-one

Answers

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

Step-by-step explanation:

A, B are right.

when checking that each x value has exactly one y value (B - that is the definition of a function), we need vertical lines to see that every vertical line has only one crossing point. A.

it is not C, because per definition a sequence is a function with the domain of natural numbers (or whole numbers incl. 0), and the range is the real numbers.

in other words, it is a numbered list of real numbers.

and it is definitely NOT D !

see A and B.

Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle.​

Answers

Because all sides will be equal to 60 degrees equilateral triangle are all congruent (and therefore they all measure 60° ) however also you can see the other triangles theta and degree and angle which all triangles always add up to 180 degree. So if you got one degree on a triangle 90 then the next one 60 then with out a shadow of doubt the last one will be 30 degrees

Which figure best demonstrates the setup for the box method of finding the area of a triangle? On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and share 2 sides with the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and the 3 points of the triangle touch the sides of the box. The box is 2 units larger than one side of the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and all 3 points of the triangle are on the sides of the box. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and 2 points of the triangle are on the box.

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The answer is C in Edge. Just took the assigment. Hope this helps! :)

5-(-5) please i need a answer ASAP

Answers

Answer:

10.

Step-by-step explanation:

If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.

Hey there!

GUIDE:

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative

Negatives are BELOW 0 and they are to the LEFT of 0

Positives are ABOVE 0 and they are to the RIGHT of 0

ANSWERING the QUESTION

5 - (-5)

= 5 + 5

= 10

Therefore, your answer is: 10

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Which of the following best describes the solution to the equation below? 8x + 4 = 8x + 4

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

8x + 4 = 8x + 4

Since the expressions on both sides are the same then any value of x will make the equation true.

That is the equation has an infinite number of solutions

Find the value of each expression.

A) 3√9-16

B) -7√0.36+5.4

Answers

A.)

[tex]3 \sqrt{9} - 16 = ... \\ = 3(3) - 16 = 9 - 16 \\ = \bold{ - 5}[/tex]

[tex] \: [/tex]

B.)

[tex] - 7 \sqrt{0.36} + 5.4 = ... \\ = - 7(0.6) + 5.4 = - 4.2 + 5.4 \\ = 5.4 - 4.2 = \bold{1.2}[/tex]

simplify the following 6b-8(46 - 9) + 3b​

Answers

The value of 6b-8(46 - 9) + 3b is 9b - 296.

The equation given is 6b-8(46 - 9) + 3b, the calculation will go thus:

= 6b-8 (46 - 9) + 3b

= 6b-8 (46 - 9) + 3b

= 6b - 8(37) + 3b

= 6b - 296 + 3b

= 6b + 3b - 296

= 9b - 296

Answer: 9b-296

Step-by-step explanation:

Subtract the numbers 6−8 (46−9)+3 6−8(37)+3 2

Multiply the numbers 6−8⋅37+3 6−296+3

Combine like terms 6b−296+3b

Ur answer

9b−296

Find the exact length of the third side.

10

8

Answers

Answer: 6

Step-by-step explanation:

The typical way to solve this problem is with the Pythagorean Theorem, which states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle, and c is the hypotenuse.  Unfortunately, due to a lack of a diagram, I am forced to infer.

Because the most famous Pythagorean triplet is 3, 4, 5, and 8 and 10 are multiples of the latter two terms, I can infer that the final side length is 6.

Hope it helps :) and if it is wrong, please let me know, and repost another question with the provided diagram.

A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function [tex]\sf h(t)=-4.9t^2+30t.[/tex]. At what times does the ball hit the ground? ( be sure to use proper units!)

please, show your work!
Thank you!

Answers

Answer:

t = 6.15 seconds

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.

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

h(t) =-4.9t^2+35t+30

----

When the ball hits the ground its height is zero.

So, solve -4.9t^2+35t+30 = 0

Use the quadratic formula:

t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))

----

t = [-35 +- sqrt(637)]/(-9.8)

---

To get a positive solution:

t = [-35-25.24]/(-9.8)

t = 6.15 seconds

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

Answer:

The ball hits the ground when h(t) (the height) is equal to 0.

0=-4.9t^2+30t

0=t(-4.9t+30)

t=0 and t=6.1224…

So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.

:)

HELP PLEASE DONT GIVE THE WRONG ANSWER

Answers

Answer:

120 minutes

Step-by-step explanation:

find the LCM

first find the GCF using prime factorization

15=3*5 12=2*2*3 10=2*5

GCF is 5 and 2 respectively

remove from each and multiply

3*2*2*2*5=120

Ivanna and her husband are each starting a saving plan. Ivanna will initially set aside $50 and then add $50.85 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50 +50.85N, where N is the number of weeks she has been saving. Her husband will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (In dollars) saved using this plan is given by the function B=65.95N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.​

Answers

Answer:

N=0.019666a-0.983284 or

A = 50.85n + 50

Step-by-step explanation:

Let's solve for n.

a = 50 + 50.85n

Step 1: Flip the equation.

50.85n + 50 = a

Step 2: Add -50 to both sides.

50.85n+50+-50=a+-50

50.85n n = a - 50

Step 3: Divide both sides by 50.85.

50.85n

50.85

=

a-50

50.85

n=0.019666a-0.983284

Let's solve for a.

a = 50 + 50.85n

PLEASE HELPPP RUNNING OUT OF TIMMEE


Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.


Shop A) 1.25kg for £4.85

Shop B) 250g for £0.88

Answers

Step-by-step explanation:

come on !

250g = 0.250kg = 0.25kg

now compare 1.25 kg with 0.25kg.

how many times of 0.25 is 1.25 ?

it is the same as 25 to 125.

5 times (4 times 25 is 100, and then one more time).

so, you need to multiply also the price by 5 to get the price per 1.25kg.

so, 0.88×5 = £4.40 = 440 pence per 1.25kg.

Find the area of the rectangle
9mm and 16mm?

Answers

Answer:

144mm or 14.4 cm

Step-by-step explanation:

9 × 16 = 144mm

144mm = 14.4 cm

Multiply the length by the width so 9x16=144

144mm or 14.4cm

Solve pls brainliest

Answers

Answer:

The answer is 60%

Step-by-step explanation:

To solve that, just divide 24 by 40

24 ÷ 40 = 0.6

Now turn 0.6 to fraction.

0.6 = 60%

what's 10+10+309765+45

Answers

Hey there!

10 + 10 + 309,765 + 45

= 20 + 309,765 + 45

= 309,785 + 45

= 309,830

Therefore, your answer is: 309,830

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

10 + 10 + 309,765 + 45 = ...

= 10 + 309,775 + 45

= 309,785 + 45

= 309,830

At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.

Answers

Step-by-step explanation:

168/3 = 56

so 112 sodas

56 hotdogs

Help please I need help

Answers

Answer:

I think it would be A??? idfk man

Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Edward earn in interest?

Answers

Answer:

$900

Step-by-step explanation:

3% of 6,000 is 180

so, he earns $180 per annum

5 YEARS LATER

he has been earning $180 every year, so,

180+  180+ 180+ 180+ 180, or 180*5

$900

Hope this helps!

Write the statement "--5 times x subtracted from 22 is less than 9 more than
x" as a mathematical inequality. I dont know this sorry​

Answers

Answer:

5x-22<9<x

Step-by-step explanation:

5 times x = 5x

subtract 22 = 5x-22

less then = 5x-22<

9 more then x = 5x-22<9<x

Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -​

Answers

Answer:

y = 3/4x - 6 1/4

Step-by-step explanation:

I hope that the slope 3 4 - - means 3/4

Slope = 3/4

Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"

y = mx + b

-7 = 3/4(-1) + b

-7 = -3/4 + b

-7 + 3/4 = b             3/4 as a decimal = .75

-7 + .75 = b

-6.25 = b

The equation of the line is y = 3/4x - 6.25  or y = 3/4x - 6 1/4

in 3 to 10 round each number to the place of the underlined digit 16.5 number 6 is underlined

Answers

Answer:

the 6 is in the tenth spot

Step-by-step explanation:

solve for X in the figure below

Answers

[tex]\\ \sf\longmapsto 4x+12+90=180[/tex]

[tex]\\ \sf\longmapsto 4x+102=180[/tex]

[tex]\\ \sf\longmapsto 4x=78[/tex]

[tex]\\ \sf\longmapsto x=19.7[/tex]

PLEASE HELP 60 PTS

Graph the piecewise function.

Answers

Answer:-2x < 10.

Step-by-step explanation:

STAN LOONA FOR A BETTER LIFE OR ELSE U WILL BE SINGLE FOR THE REST OF UR LIFE

Answers

We as we see this question is quite simple

first we find the vocabulary which is in simple text slang and convert it formally to english...

Next we find that this question makes no sense so g'day

The question is very simple.
First look at the equipment

NEED HELP NOW thanks

Answers

Answer:

13 uvugugugugycycycycycycy

Step-by-step explanation:

cycle yvy

Step-by-step explanation:

it's somehow confusing because there's no coordinates for line k

two and twenty-seven hundredths

Answers

Twenty=20Twenty seven hundred hundreths=2700

Actual number

[tex]\\ \sf\longmapsto 202700[/tex]

Number in words=two hundred and two thousands and seven hundreds

you lose one quarter, two dimes, and two nickels.

a. Write the amount as a decimal.

The amount as a decimal is ____.



b. Write the amount as a fraction in the simplest form.

The amount as a fraction is ____.​

Answers

Answer: .55

55/100

Step-by-step explanation:

Quarter=25
Dimes=20
Nickels=10

A. 55 cents

B. 60/100

What is (16x+9)+(−9x−5) ?

Answers

the awnswer is 11 hope it helps

-2x + 2y = 10
Y = x + 5
A. The graphs of the equation are lines that intersect at one point because the equations have the same slope and same y-intercept. Therefore, the system has exactly one solution.
B. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. Therefore, the system has infinitely many solutions.
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. Therefore, the system has exactly one solution.
D. The graphs of the equations are parallel lines because they have the same slope but different y-intercepts. Therefore, the system has no solution.

Answers

It is b
-2x +2y=10 and y =x+5 are the same

[tex]\frac{7}{10} - \frac{2}{5}[/tex]

Answers

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

First, we need to make the denominators the same.

[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]

Then, we subtract the numerator.

[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]

Find the LCD (lowest common denominator) of 10 and 5.
LCD of 10 and 5 is 10.
5 x 2 = 10 so, 2 x 2 = 4 because whatever you do to the denominator, you do to the numerator.
7/10 - 4/10 = 3/10
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