the larger number is 18 more than twice the smaller. if the sum of. the two numbers is 93, find both numbers.

Answers

Answer 1
[tex]<b>HEY THERE ![/tex]

Let the smaller number is X

and the larger number is Y

NOW according to question the larger number is 18 more than twice the smaller.

so y = 2x+18.......(1)

And the sum of. the two numbers is 93
So x+y = 93......(2)

From equation (1) put the value of y in equation (2)
=> x+2x+18= 93
Subtract 18 on both sides
=> 3x = 75
Divide by 3 on both sides
=> x = 15

Now put this new value of x in equation (1)
y = 2×15+18
=> y = 48

So the smaller number is 15 and the larger number is 48.

HOPE IT HELPED YOU.

Answer 2

The larger number is 68 and the smaller number is 25.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the larger number is 18 more than twice the smaller. if the sum of. the two numbers are 93. let the larger number be L and the smaller number be S.

L = 18 + 2S

L + S = 93

18 + 2S + S = 93

18 + 3S = 93

3S = 93 - 18

3S = 75

S = 25

L + S = 93

L + 25 = 93

L = 93 - 25

L = 68

Therefore, the larger number is 68 and the smaller number is 25.

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Related Questions

Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as th\e winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received: x − 62,500 = 0.25y If a total of 125,000 people voted, how many votes did Maya receive? Do not enter comma for placeholder values. Numerical Answers Expected!

Answers

y is the total number of votes, which is given as 125,000

Replace Y in the equation and solve for x.


X - 62500 = 0.25(125000)

Simplify:

x - 62500 = 31250

Add 62500 to both sides:

X = 31250 + 62500

X = 93750


How many solutions does the equation have? 5(n–2)=5n–10

A.) 1 solution

B.) no solutions

C.) many solutions

Answers

C) many solutions

But to be precise, there are INFINITELY many solutions.

[tex]5(n-2)=5n-10\\\\5n-10=5n-10\\\\0=0\\\\x\in\mathbb{R}[/tex]

Final answer:

The equation 5(n–2)=5n–10 has many solutions because any value of n will satisfy the equation as both sides of the equation match exactly.

Explanation:

The equation given is 5(n–2)=5n–10. Let's solve this step-by-step.

Distribute 5 through the parentheses on the left side of the equation: 5n - 10 = 5n - 10. As you can see, both sides of the equation match exactly, meaning that any value for n will make the equation true.

So, the answer is C.) many solutions, because any value of n will satisfy this equation.

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What is triple the sum of 45 and 55

Answers

the answer is 300 because 55+45=100   and 100*3 is 300


What is triple the sum of 45 and 55

First, add 45 and 55

45 + 55 = 100

Next, triple the sum. Multiply 3 with the number gotten

3(100) = 300

300 is your answer

hope this helps

~Rise Above the Ordinary

If Fernando paid $450 for a netbook that was 75% off the original price what was the original price?

Answers

The original price was 600 if i'm correct


[tex] \frac{75}{100 } = \frac{450}{x} \\ \\ \frac{45000}{75x} = 600 \\ \\ x = 600 \\ \\ [/tex]
original price: $600

What is the slope and y intercept of y= 3

Answers

the slope is 0 over 1 and the y-intercept is 3


The slope of this would be 0 because rise is 0 divided by the run. This means the slope will always be zero. The y intercept would be (0,3). because you only have a constant which is b, the y-intercept.
y = mx + b
y = 0x + 3

10x=-80

I could us some hlp

Answers

10x = -80

Note the equal sign. What you do to one side, you do to the other.

Divide 10 from both sides

10x/10 = -80/10

x = -80/10

x = -8

-8 is your answer for x

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

~Rise Above the Ordinary, Senpai

answer: x = -8

work:

you're working to solve for x.

this means you want to isolate x, and get it alone.

to do so, divide both sides by 10 to get rid of the 10.

once you divide both sides by 10, x is on its own, and you have the solution to your equation, x = -8!

to check your work you can plug the value for x into the original equation and solve.

10(-8) = -80

-80 = -80

so we can verify this is in fact correct.


i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom


A tank has 450 gallons of water. A pump is draining the tank at a rate of 50 gallons every minute. Represent the amount of water in the tank as a function of the amount of time the tank has been draining.

Answers

The function is y=450-50x.

Gabriel needs d more dollars to buy a new video console that coast $156.75. He has saved $98.26. Solve the equation $98.26 + d = $156.75 to find out how much more money Gabriel needs.

Answers

Just subtract 98.26 from 156.75. It equals $58.49.

you can use subtraction by doing 156.75 minus 98.26 when you do that the amount he still needs is 58.49

Simplify the expressions

Answers

1a. 6y - 2y = 4y

1b. 6 - 7b + 7b + 3 + b

= 6 + 3 + b

= 9 + b

2a. 10a - 2 + 3 - a

= (10a - a) + (-2 + 3)

= 9a + 1

2b. m · 7 · m · m · m · m · 9

= (7 · 9) · (m · m · m · m · m)

[tex]=63m^{5}[/tex]

3a.  3 + 8(5a + 10)

= 3 + 40a + 80

= 40a + 83

3b.  6v - 8v + 4 + 6v

= (6v - 8v + 6v) + 4

= 4v + 4

4a.  s · 1 · s · 3

= (1 · 3) · (s · s)

[tex]= 3s^{2}[/tex]

4b.  6k - 6k

= 0

5a.  [tex]10y^{4} (y^{2} )[/tex]

= [tex]=10y^{6}[/tex]

5b.  10x + 7 - 5x

= (10x - 5x) + 7

= 5x + 7

6a.  1v - v + 7 + 9v

= (1v - v + 9v) + 7

= 9v + 7

6b.  6z - 5 + 5 - 6z

= (6z - 6z) + (-5 + 5)

= 0 + 0 = 0

7a.  9w + 5w

= 14w

7b. s · 2s · s · s · s · s

= 2 · (s · s · s · s · s · s)

[tex]= 2s^{6}[/tex]

A go cart's top speed is 607,200 feet per hour. What is the speed in miles per hour?

Answers

115 miles, since there are 5280 feet in a mile so youd divide 607200 by 5280 to convert the feet into miles.

I am very confused lol... So I'm doing a worksheet for Algebra 1 (highschool) and we're doing division and multiplication with fractions at the moment to review what we learned last year and I'm stuck. Right now I'm doing #1 and ended up getting 7 1\2... so I ended up doing this as my equation..
[tex]3 \frac{3}{4} \div \frac{1}{2} [/tex]I have no idea if I'm supposed to do division with this but I tried division and multiplication and got 7 1\2 Everytime I did it. And I know the answer is 1 7/8 cause I may have found a cheat sheet online but I still need to know how to do it. Anyways this is what I did:
[tex]3 \frac{3}{4} \div \frac{1}{2} [/tex]
[tex] \frac{15}{4} \times \frac{2}{1} = \frac{30}{4} [/tex]
[tex] \frac{30}{4} = \frac{15}{2} = 7 \frac{1}{2} [/tex]
I don't understand what I'm doing wrong lol.

Answers

OK first change 3 3/4 to an improper fraction and that will give you  15/4. so you got that part right.  Next, change the division sign to multiplication. then flip the 1/2 to 2/1.  Then multiply 15 times 2 and that will give you 30. Then multiply 4 times 1 and that will give you 4. then you will have an answer of  30/4. Finally, since you a have a big number over a small number you divide 30 by 4 and that will give you 7 1/2. So it turns out that your little cheat sheet is wrong because when you check your answer you should go on Math-way to check it. Also, a little background about me is that I am in 8th grade and I am taking algebra 1 too.

Please help. Thanks!

Answers

B. The equation of this line is x = 3.

E. This graph is not a function because the value x = 3 is assigned to more than one y-value.

HELP I only need these two problems answered
2. Arturo can run 1 3/4 miles in 1/4 hour.
what is his speed in miles per hour?
How many miles can Arturo run in 3 hours

Answers

Formula d = vt

1 3/4= 1.75

1/4=0.25


So now plug into equation

To find v first to find per hr.

v = (1.75 miles) / (0.25 hrs) =

7 miles per hr

Distance per hr

d = (7 miles/hr)(1 hr) = 7 miles


In 3 hrs ?

d = (7 miles/hr)(3hr) = 21 miles

if ( 6^2) ^x =1 what is the value of x

Answers

[tex] { {6}^{2} }^{ x} = 1 \\ {36}^{x} = 1[/tex]
x = 0, since any number to the zero power is equal to 1, except O to the zero power, which would be undefined.

-16+(-28) adding a integer

Answers

the answer is equal to -44

-44 should be your answer. If you were solving for absolute value and the 28 was positive you would have about 12.

Are angles 2 and 5 vertical angles, linear pairs or neither? Thank you :)

Answers

Vertical angles. Vertical angles are two angles that equal the same and are directly across from each other. In this case, if you find the value of 2 then 5 would be the same.
Final answer:

Without more information or a diagram showing the arrangement of the angles, we can't accurately determine if angles 2 and 5 are vertical angles, linear pairs, or neither. Vertical angles are those opposite each other when lines intersect and are always equals, while a linear pair of angles add up to 180 degrees and share a vertex and a side.

Explanation:

To determine if angles 2 and 5 are vertical angles, linear pairs, or neither, we need to know the positional arrangement of these angles.

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in degree.

A linear pair of angles is formed when two angles add up to 180 degrees and they share a vertex and a side.

Without a diagram or more context, it's impossible to determine the relationship between angles 2 and 5. Please provide more information or a diagram to help identify the relationship between these angles.

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The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function. Which equation represents that function? f(x) = 2x f(x) = 3x f(x) = 4x f(x) = 5x

Answers

Answer:

Option D is the correct answer.

Explanation:

 The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function.

We need to find f(x)

Checking each options.

a) f(x) = [tex]2^x[/tex]

    For (0,1)

              f(0) = [tex]2^0=1[/tex]

    For (1,5)

              f(1) =  [tex]2^1=2[/tex], given that f(1) = 5, so option A is wrong.

b) f(x) = [tex]3^x[/tex]

   For (0,1)

              f(0) = [tex]3^0=1[/tex]

    For (1,5)

              f(1) =  [tex]2^1=3[/tex], given that f(1) = 5, so option B is wrong.

c) f(x) = [tex]4^x[/tex]

   For (0,1)

              f(0) = [tex]4^0=1[/tex]

    For (1,5)

              f(1) =  [tex]4^1=4[/tex], given that f(1) = 5, so option C is wrong.

d) f(x) = [tex]5^x[/tex]

   For (0,1)

              f(0) = [tex]5^0=1[/tex]

    For (1,5)

              f(1) =  [tex]5^1=5[/tex]

   For (2,25)

               f(2) =  [tex]5^2=25[/tex]

  For (3,125)

               f(3) =  [tex]5^3=125[/tex]

 So all values are satisfied Option D is the correct answer.

How much longer is a 1 inch button than a 3 over 8 inch button

Answers

Subtract.

1 - 3/8 = 5/8

18x^2-2 factor completely

Answers

Here is your answer to your question

The factored form of [tex]\(18x^2 - 2\)[/tex] is [tex]\({2(3x - 1)(3x + 1)}\)[/tex].

To factor the expression [tex]\(18x^2 - 2\)[/tex] completely, we first notice that [tex](18x^2\))[/tex] and [tex]\(2\)[/tex] share a common factor of [tex]\(2\)[/tex]. We can factor out this common factor to simplify the expression:

[tex]\[18x^2 - 2 = 2(9x^2 - 1)\][/tex]

Now, we recognize that [tex]\(9x^2 - 1\)[/tex] is a difference of squares. It can be factored as [tex]\((3x)^2 - 1^2\)[/tex], which follows the pattern [tex]\((a^2 - b^2) = (a - b)(a + b)\)[/tex].

So, applying this pattern, we have:

[tex]\[9x^2 - 1 = (3x)^2 - 1^2 = (3x - 1)(3x + 1)\][/tex]

Therefore, the expression \(18x^2 - 2\) factors completely as:

[tex]\[18x^2 - 2 = 2(9x^2 - 1) = 2(3x - 1)(3x + 1)\][/tex]

whats the answer for -7x -3x+2= -8x-8

Answers

X=5


Add all the Xs together, then get it alone and there’s your anwser


Hope it helps ❤️

[tex]-10x+2=-8x-8[/tex]                  Combine Like Terms

[tex]-2x+2=-8[/tex]                       Add [tex]-8x[/tex] on both sides

[tex]-2x=-10[/tex]                            Subtract [tex]2[/tex] on both side

[tex]x=5[/tex]                       Divide [tex]-2[/tex] to [tex]-10[/tex]

*(Answer)*= [tex]x=5[/tex]

a rock fell from a cliff at 108 feet high and landed on an embankment feet from the ground. find the amount if time it would have taken the rock to fall.

Answers

To solve this problem we will directly use the formula:

[tex]h=\frac{1}{2}gt^2[/tex]..........Equation 1

where symbols have their usual meanings.

Here g=32.2 ft/s^2 and h=108 feet

Therefore, from Equation 1 we will get:

[tex]t=\sqrt{\frac{2h}{g}}[/tex]....Equation 2

Plugging in the values in Equation 2 we get:

[tex]t=\sqrt{\frac{2\times 108}{32.2}}\approx 2.59[/tex] seconds.

Therefore, the amount of time it would have taken the rock to fall is 2.59 seconds.

A case of 24 pairs of the same kind of sports shoes costs a little more than $800.Explain whether $28 per pair with tax included is a good estimate.

Answers

No because 24 times 28 is 672

Answer:

$28 per pair is not a good estimate.

Step-by-step explanation:

Let x represent cost of each pair with tax.

We have been given that a case of 24 pairs of the same kind of sport shoes cost a little more than $800.

The cost of 24 pairs would be [tex]24x[/tex].

[tex]24x>800[/tex]

[tex]\frac{24x}{24}>\frac{800}{24}[/tex]

[tex]x>33.33[/tex]

Since the cost of each pair is greater than $33.33, therefore, $28 is not a good estimate.

x intercept and y intercept

Answers

x + 8y = 0

x - intercept when y = 0:

x + 8(0) = 0

x + 0 = 0

x = 0

y - intercept when x = 0:

0 + 8y = 0

8y = 0    |:8

y = 0

Answer:

The x-intercept is 0

The y-intercept is 0

i need help plz help me with this

Answers

Answer:

Okay you are asking for the area of a circle ( drum head ) to find that is. You get R (radious) by dividing 14 by 2 and get 7


Step-by-step explanation:

A= πr^2

so what is the R? Its 7

Plug the numbers in and

and your answer is 153.94



What is the midpoint of AB?

Answers

The formula of a midpoint:

[tex]\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have

[tex]A(-2,\ 5),\ B(3,\ -3)[/tex]

Substitute:

[tex]\dfrac{-2+3}{2}=\dfrac{1}{2}=0.5\\\\\dfrac{5+(-3)}{2}=\dfrac{2}{2}=1[/tex]

Answer: (0.5, 1).

Answer:

The midpoint of AB is (0.5,1).

Step-by-step explanation:

From the given graph it is clear that the vertices of the triangle ABC are A(-2,5), B(3,-3) and C(-4,-1).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We need to find the midpoint of AB.

[tex]Midpoint=(\frac{-2+3}{2},\frac{5+(-3)}{2})[/tex]

[tex]Midpoint=(\frac{1}{2},\frac{5-3}{2})[/tex]

On further simplification we get

[tex]Midpoint=(\frac{1}{2},\frac{2}{2})[/tex]

[tex]Midpoint=(0.5,1)[/tex]

Therefore the midpoint of AB is (0.5,1).

Edward Taylor purchased two shirts for $17.95 and $27.50, a jacket for $94.20, and two ties for $12.30 each. The state tax is 5 percent, the county tax is 1.5 percent, and the city tax is 2 percent. What is the total amount of tax on his purchases?

A. $14.65

B. $12.97

C. $13.96

D. $11.23

Answers

Total cost

17.95 + 27.50 + 94.20 + 12.30 + 12.30 = 164.25

tax

164.25 * 5% = 8.21

164.25 * 1.5% = 2.47

164.25 * 2% = 3.28

sum of the tax

8.21 + 2.47 +3.28 =

13.96

your answer is C

Final answer:

To find the total tax on Edward Taylor's purchases, sum the cost of all items ($164.25), multiply by the combined tax rate of 8.5% to get the total tax in dollars ($13.96125), and round to the nearest cent, resulting in $13.96. So, option C is correct.

Explanation:

To determine the total amount of tax on Edward Taylor's purchases, we need to sum up the cost of all items purchased and then calculate the combined sales tax. Edward bought two shirts for $17.95 and $27.50, a jacket for $94.20, and two ties at $12.30 each. Here are the steps taken:

Calculate the sum of the purchases: $(17.95 + 27.50 + 94.20 + 12.30 + 12.30) = $164.25.

Combine the tax rates: (state tax at 5% + county tax at 1.5% + city tax at 2%) = 8.5% total.

Convert the tax rate to a decimal: 8.5% = 0.085.

Multiply the total cost of purchases by the tax rate: $164.25 * 0.085 = $13.96125.

Round the tax to the nearest cent: $13.96.

Therefore, the total amount of tax on his purchases is $13.96. So, option C is correct.

a quantity plus 6. Write in algerbraic expression

Answers

Let "a quantity" = x

the quantity is being "[added] to 6"

x + 6 is your algebraic expression.

hope this helps

~Rise Above the Ordinary

The quantity which is unknown can be represented as a variable such as x or any other letter. The plus 6 can be represented by +6. So the final answer is x+6. Hope this helps!

Please help on these questions and explain please!!

Answers

The one in the middle is 12 for the median = 8

The median is 8 I beliwve because of the 12

Stu wants to join a gym. Fit-Place charges a $135 startup fee and then $35 per month. The Factory has no startup fee but charges $60 per month. Create a table showing the total cost for the first 8 months. Determine the month at which the total cost is the same.

Answers

I don't know the answer use a calculater

Answer:

Fit-Place charges a $135 startup fee and then $35 per month.

Means the cost here will be based on the equation : [tex]135+35x[/tex] where x is the number of months.

The Factory has no startup fee but charges $60 per month. Here the equation will be [tex]60x[/tex], where x is the number of months.

Table ;

Months              1          2          3        4         5        6          7        8

Fit-Place          170      205     240     275     310     345    380   415

The Factory     60      120        180     240    300    360   420    480

The total cost will be same in:

[tex]60x=135+35x[/tex]

=> [tex]60x-35x=135[/tex]

=> [tex]25x=135[/tex]

x = 5.4 rounded to 5 months.

Now we can see that the total cost will be same in almost 5 months.

Which statement is true about a line and a point? (1 point)

Select one:
a. A point and a line have length as a dimension to measure.
b. A point is a location and a line has many points located on it.
c. A line and a point cannot lie on the same plane.
d. A line and a point cannot be collinear.

Answers

A line and a point cannot be collinear.
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