The sum of two numbers is a hundred one number is at least 16 more than the other number. What are the numbers? Please help

Answers

Answer 1

Answer:

42 and 58

Step-by-step explanation:

Let the two numbers be represented by A And B

A + B = 100

A = B + 16

Substitute B + 16 in place of A in equation 1

We have,

B + 16 + B = 100

It can also be written as

B + B + 16 = 100

2B + 16 = 100

Subtract 16 from both sides

2B + 16 - 16 = 100 - 16

2B = 84

Divide both sides by 2

2B/2 = 84/2

B = 42

Now substitute 42 for B in any of the equations to get A.

Using equation 1

A + B = 100

A + 42 = 100

Subtract 42 from both sides

A + 42 - 42 = 100 - 42

A = 58

Therefore the two numbers are 42 and 58


Related Questions

What is -4 divided by 2/5

Answers

The answer is -10

Step by step:
-4 / 2/5
-4/1 x 5/2
-20/2 simplifies to -10

Answer:

-10

Step-by-step explanation:

multiply by the reciprocal

-4÷5/2

reduce the numbers with greatest common factor 2

-2 x 5

multiply the numbers

-10

Find the amount of air it would take to fill a basketball if the diameter of the ball is 12 inches

Answers

to find the volume of a sphere, use the formula 4/3*pi*radius cubed. the radius of this circle is 6 (half diameter) so use 4/3*pi*6 cubed, which is 4/3*pi*216. multiply by pi to get 678.58*4/3 is the volume. multiply by 4/3 to get about 904.78 inches cubed as the volume. so about 904.78 cubic inches of air.
Final answer:

In order to find the amount of air to fill a basketball with a diameter of 12 inches, convert the diameter to a radius and then to metric units. Then, use the formula for the volume of a sphere (4/3 * π * r³) to calculate the volume.

Explanation:

This is a problem relating to the volume of a sphere, based in Physics. Given the diameter of the ball (12 inches), we first convert this measure to the radius, which would be half of the diameter (6 inches). This can also be converted to the metric system for ease of calculation, where 1 inch equals roughly 2.54 cm, leading to 6 inches as approximately 15.24 cm.

To find the air required to fill up the ball, we apply the formula for the volume of a sphere (4/3)πr³. Plugging in the value of the radius we get, V = (4/3) * π * (15.24 cm)³. Solving this will get us the volume of air required to fill up the basketball.

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can someone please help? if can include working out​

Answers

Answer:

Step-by-step explanation:

a. 5 x (c) = -35

Divide each side by 5, which is equal to -6. Remember, two negatives make a positive and one negative and one positive makes a negative.

c. 16/(x) = -4

What times what is equal to a positive 16? To solve, multiply x on both sides of the equation to get 16 = -4x then divide -4 on both sides. You'll get the answer -4. 16/-4 = -4.

e. x/(-3)= -9

Like c, multiply both sides by the denominator, so -3. You'll get x by itself for an equation like x = -9 x -3. Then multiply, remember two negatives equal a positive, so x = 27. 27/-3 = -9.

g. -5000 x y = -10,000

Divide -5000 on both sides to get the equation y = -10,000/-5000. Then solve. y= 2. -5000 x 2 = -10,000.

i. 243/x = -81

Mutiply both sides of the equation by x, so x cancels out. You'll end up getting the equation 243= -81x. Then divide both sides of the equation by -81. Now that we have 1 positive and 1 negative we know our answer has to be negative. The equation should look like 243/-81 = x, which is equal to x=-3. Thus, the answer is 243/(-3)= -81.

k. -92 x y= 184

Divide both sides by -92 to get x by itself. Then you'll get the equation y= 184/-92. y= -2 so, -92 x -2 = 184.

chevy have some yarn that he wants to use to make hats and scarves. each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. chevy wants to make a total of 15 items. let h be the number of hats chevy makes and s be number of scarves he makes.

Answers

Answer:

[tex]The\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k\\\\Where\ k\ is\ total\ yarn\ in\ kg.\\\\If\ k=2\ kg\\\\h=5\ hats,\ s=10\ scarves[/tex]

Step-by-step explanation:

[tex]Number\ of\ hats=h\\\\Number\ of\ scarves=s[/tex]

Total Number of items:

[tex]Total\ items=15\\\\Total\ number\ of\ items=Number\ of\ hats+Number\ of\ scarves\\\\Total\ Number\ of\ items=h+s\\\\h+s=15.......................................eq(1)[/tex]

Total yarn used:

[tex]Yarn\ used\ in\ 1\ hat=0.2\ kg\\\\Yarn\ used\ in 1\ scarf=0.1\ kg\\\\Yarn\ used\ in\ hats=Yarn\ used\ in\ 1\ hat\times Number\ of\ hats\\\\Yarn\ used\ in\ hats=0.2\times h=0.2h\\\\Yarn\ used\ in\ scarves=Yarn\ used\ in\ 1\ scarf\times Number\ of\ scarves\\\\Yarn\ used\ in\ hats=0.1\times s=0.1s\\\\Total\ yarn\ used=0.2h+0.1s\\\\If\ total\ yarn=k\ kg\\\\Solution\ of\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k[/tex]

[tex]if\ k=2\\\\h+s=15...............eq(2)\\\\0.2h+0.1s=2.......eq(3)\\\\eq(2)-0.2\times eq(3)\\\\0.1s=1\\\\s=10\\\\From\ eq(2)\\\\h=15-s\\\\h=5\ hats[/tex]

I need help on this:(

Answers

Answer:

Not to sure if this is correct but I think it is 6: 1 : 18

pls msg me if you need explanation

Omar made $299 for 13 hours of work.
At the same rate, how many hours would he have to work to make $253?

Answers

Answer:

The answer is (11 hours)

Step-by-step explanation:

I first divided 299 by 13 hours to find the rate.

I got the dividend of 23.

All you do now is add $23 per hour.

Once you add 11 hours of this rate. You'll get the sum of $253.

Solving for the amount of hours by cross multiplication

money/hours=money/hours

$299/13hours=$253/x hours

[tex]\frac{299}{13} =\frac{253}{x} \\\\23=\frac{253}{x} \\\\23x=253\\\\x=253/23\\\\x=11[/tex]

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

Which line is the graph of y = -2x + 2?

line a
line b
line c
line d

Answers

Answer:

The Answer is Line B

Step-by-step explanation:

the points that make up the graph is ( 0,2) and (1,0)

Answer:

Line B

Step-by-step explanation:

Tobias is making scones. The recipe calls for 2/3 cup of flour to make 6 scones. What is the unit rate for cups of flour per scone​? For scones per cup of flour​? Use pencil and paper. Show or describe at least two ways to find the unit rate for scones per cup of flour.

Answers

Answer:

A. 1/9 cup of flour per scone.

B. 9 scones per cup of flour.

Step-by-step explanation:

We're given that Tobias uses 2/3 cup of flour makes 6 scones.

A. The unit rate of cup of flour per scone will be the cup of flour used to make a particular number of scones divided by that number of scones. Mathematically,

U. R. = (cup of flour)/(number of scones)

U. R. = (2/3)/6= 2/(3 *6)

U. R. = 2/18 = 1/9 or 0.11 scones per cup of flour.

B. (i) Method 1

Following the same method we used in (A) above, we need to divide the number of scones by the cup of flour used to make said number of scones. Mathematically,

U. R. = (number of scones)/(cup of flour)

U. R. = 6/(2/3) = (6 * 3)/2

U. R. = (6 * 3)/2 = 18/2

U. R. = 9 scones per cup of flour.

(ii) Method 2

Let the number of scones that can be made with 1 cup of flour(Unit rate for number of scones per cup of flour) be x. Then:

2/3 cup of flour = 6 scones

1 cup of flour = x scones

By cross multiplying and solving:

x = (6 * 1) / (2/3)

x = (6 * 3) / 2

x = 18/2 = 9 scones per cup of flour.

markdown $20 by [tex][/tex]7%

Answers

The final discounted price is $18.6

Step-by-step explanation:

In this problem we have to decrease the value of $20 by 7%.

First of all, we have to calculate the 7% of $20. We can do it as follows:

[tex]d=\frac{7}{100}\cdot 20 = 1.4[/tex]

This means that the 7% of $20 is 1.4$.

Now we want to decrease the original value by 7%, so we calculate the difference:

[tex]f=20 - d = 20-1.4=18.6[/tex]

So, the final discounted price is $18.6

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Please help. There is a file included.

Answers

Answer:

0

Step-by-step explanation:

8 + - 4 - 4

(goes in the 2nd box)

0

(goes in the last empty box)

what is y+7= -1/2 (x-6)​

Answers

Answer:

Step-by-step explanation:

y + 7 = -1/2(x - 6)

y + 7 = -0.5x +3

y = -0.5x - 4

Answer:

y=-1/2x-4

Step-by-step explanation:

first distribute the -1/2 into both terms in the parentheses. next solve for y by subtracting 7 from both sides. combine like terms

On a coordinate plane, is translated 3 units up and 3 units to the right to create Line p is drawn through P and and Line q is drawn through Q and Which statement about Lines p and q is true?

Lines p and q are parallel.

Lines p and q are perpendicular.

Lines p and q have the same x-intercept.

Lines p and q have the same y-intercept.

Answers

Answer:

Lines p and q are parallel

Step-by-step explanation:

1) Completing the question:

On a coordinate plane, is translated 3 units up and 3 units to the right to create ′′. Line p is drawn through and ’, and Line is drawn through and ’. Which statement about Lines and is true?

2)

If PQ (x, y) according to that rule then P'Q' (x+3, y+3). So let's plot to answer the question. Setting numbers for,x and y.

3) As you can see below, since we add 3 units to the right and 3 units up then no x-coordinate must be the same, no y-coordinate must remain the same. In addition, p and q won't have the same intercept, neither x nor y.

For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range. (2 points)
1) The vertex is (1, 2), the domain is all real numbers, and the range is y > 2.
2) The vertex is (1, 2), the domain is all real numbers, and the range is y s 2.
O3) The vertex is (-1, 2), the domain is all real numbers, and the range is y 2 2.
4) The vertex is (-1, 2), the domain is all real numbers, and the range is y s 2.

Answers

Answer:

2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

Step-by-step explanation:

Look at the photo below for the graph.

:)

How do you solve 12x -2/3 = 83 1/3

Answers

Answer:

4

Step-by-step explanation:

<=> 12x = 83 1/3 + 2/3

<=> 12x = 84

<=> x = 84/12

<=> x = 4

X should be equaled to 9/4.

Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Mark

Answers

Answer:

[tex] \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]

Step-by-step explanation:

We want to simplify:

[tex] {r}^{ - 7} + {s}^{ - 12} [/tex]

Let us rewrite as positive index to get:

[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]

We now find LCM to get:

[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]

Therefore the simplified form of the given expresion is:

[tex] \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]

But from the provide option, they only want us to rewrite as positive index without simplifying further

36 divided by 6a I’m confused plz help

Answers

Answer: 6

Step-by-step explanation:

Erica ate 5/8 of a sandwich. Sven ate 2/5 of a sandwich. Micah ate 3/4 of a sandwich. Gabe ate 6/12 of a sandwich. Who ate the most of his sandwich?

Answers

The answer is that Micah ate more of a sandwich because he is 1/4 from eating the whole thing.

Answer:

Micah ate the most of their sandwich.

Step-by-step explanation:

If you convert all of the fractions into a percentage,

Erica ate 62.5% of a sandwich

Sven ate 40% of a sandwich

Micah ate 75% of a sandwich

Gabe ate 50% of a sandwich

Micah ate the most of their sandwich.

I’m so confused geometry

Answers

x=50 and y=10

because of vertical angles: 3y=x-20

and we also have 3y+5x-100=180 , if we simplify we get 3y=280-5x

we can combine the two equations and get x-20=280-5x and when we solve we get x=50 degrees

then we can plug that into the first equation and get 3y=30, and y=10 degrees

Answer:

x = 50°

y = 10°

Step-by-step explanation:

The vertical angles theorem states that angles across from each other must be equal.

This means that:

3y = x - 20°    or    x = 3y + 20°

5x - 100° = y + 140°

Start with the second equation

5x - 100° = y + 140°

Add 100° to both sides of the equation

5x = y + 240°

Now, substitute the value of x found at the beginning into this equation

5(3y + 20°) = y + 240°

Multiply

15y + 100° = y + 240°

Subtract 100° from both sides of the equation

15y = y + 140°

Subtract y from both sides of the equation

14y = 140°

y = 10°

x = 3y + 20 = 3(10) + 20 = 30 + 20 = 50°

Hope this helps :)

There will be 25 party guests. 8
pieces of pizza dough come in a
package. How many packages do
I need to buy? ​

Answers

First you need to know how much each guest will eat
well if you bought 3 packages that would be 24 pieces of pizza dough. and you still need one more piece, so 4 packages!

The table shows the yearly earnings, in thousands of dollars, over a 10-year period for college graduates. Which statement is true about the distributions representing the yearly earnings?

a) The mean earnings of the self-employed are higher than the mean earnings of the wage earners.

b) The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.

c) The IQRs of the distributions are equal.

d) The standard deviations of the distributions are equal.

nvm its b :)

Answers

Answer:

Its B i just got it right

Step-by-step explanation:

The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.

What is IQR?

IQR stands for Interquartile Range, which is a measure of variability or spread in a set of data. It is calculated by finding the difference between the first quartile (Q1) and the third quartile (Q3) of a data set.

Without the table, it is difficult to provide a definitive answer. However, based on the information given, we can make some general observations:

a) It is possible that the mean earnings of the self-employed are higher than the mean earnings of the wage earners, but this cannot be determined from the information given.

b) It is also impossible to determine which distribution is more symmetric without further information.

c) The statement about the IQRs is also impossible to verify without more information.

d) It is unlikely that the standard deviations of the distributions are equal, as the earnings of self-employed individuals are typically more variable than those of wage earners. However, this also cannot be determined without more information.

Thus, the correct statement can be The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.

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I'm solving for x, but I'm not confident with my work. I feel like x should be smaller than the other side (121) but I got a result much larger than it. Can someone help?

Answers

You have the ratios set up but you need to cross multiply everything:

(5x + 10) x 11 = 121 x 10

55x + 110 = 1210

Subtract 110 from both sides:

55x = 1100

Divide both sides by 55:

X = 1100 / 55

X = 20

The point P has coordinates (-4,1). In which quadrant does point P lie?

Answers

Answer: quadrant 2

Step-by-step explanation:

u first go to the left side because your x axis is a negative than u go up one positive and u are on quadrant 2

The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours
spent exercising.
The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the
number of hours spent exercising.
What is (f + g)(2)? Explain.

A. 214 burned just exercise 2 hours
B. 214 burned exercise and
diet 2 hours
C. 343 burned dieting 2 hours
D. 343 burned exercise and diet 2 hours.

Answers

The true statement about (f + g)(2) is (D). 343 burned exercise and diet 2 hours.

The functions are given as:

f(x) = 2x+ 210

g(x) =2x + 125

Start by calculating (f + g)(x) using:

(f + g)(x) = f(x) + g(x)

So, we have:

[tex](f + g)(x) = 2x + 210 + 2x + 125[/tex]

This gives

[tex](f + g)(x) = 4x + 335[/tex]

When x = 2, we have:

[tex](f + g)(x) = 4*2 + 335[/tex]

[tex](f + g)(x) = 343[/tex]

This means that 343 calories were burned by exercising and dieting for 2 hours

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Use the figure. Identify a segment that intersects Ef.

Answers

Answer:

[tex]\overline{FG}[/tex]

Step-by-step explanation:

When two line segments intersects, then they have a common point.

From the diagram FG intersects EF

Also HG intersects EF

From the given options, the correct answer is [tex]\overline{FG}[/tex]

Therefore the first choice is correct





Find the area of the hexagon.
A) 36 in2
B) 52 in2
C) 78 in2
D) 144 in2

Answers

Answer: C) 78 in2

Step-by-step explanation:

The polygon is divided into two trapezoids with equal measurements.

Area of a trapezoid:

1

2

(b1 + b2)h

Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.

(b1 + b2)h

(10 + 16)3

26(3)

78 in2

Answer:

Answer: C) 78 in2

Step-by-step explanation:

n(17+x)=34x-r solve for x

Answers

Answer:

[tex]x=\frac{-17n-r}{(n-34)}[/tex]

Step-by-step explanation:

 Given:                      

                          [tex]n(17+x)=34x-r[/tex]

                Taking the terms of x to one side.

                                [tex]17n+nx=34x-r\\[/tex]

                              [tex]nx-34x=-17n-r\\\\x(n-34)=-17n-r\\\\x=\frac{-17n-r}{(n-34)}[/tex]

The value of x is:

                                 [tex]x=\frac{-17n-r}{(n-34)}[/tex]

                   

Solve the equation. Write solutions using integers or simplified fractions. 5−(y−3)=14−4(y+2)

Answers

of course the answer is Y=. - 2/3

Answer:

-2/3

Step-by-step explanation:

5 − (y−3)=14− 4 (y+2)

Expand

5 - y + 3 = 14 - 4y - 8

Collect like terms

-y + 4y = 14 - 8 - 5 -3

(-1 + 4)y = - 2

3y = -2

Divide both sides by 3

3y/3 = -2/3

y = -2/3

I hope this was helpful, Please mark as brainliest

is 0.02 greater that 1/50

Answers

Answer:

No and yes.

Step-by-step explanation:

Turn both to percentages. Move the decimal point over two spots to the right, making 2%. Multiply the fraction by 2 to get 2/100. PerCENT. A dollar is 100 cents. The fraction as a percentage is 2%. They are equal.

Yes, 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Explanation:

0.02 can be represented as [tex]\( \frac{2}{100} \)[/tex], which simplifies to [tex]\( \frac{1}{50} \)[/tex].

Since [tex]\( \frac{2}{100} \)[/tex] is greater than [tex]\( \frac{1}{50} \)[/tex], it follows that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Step-by-step explanation:

1. Convert 0.02 to a fraction: [tex]\( 0.02 = \frac{2}{100} \)[/tex].

2. Compare [tex]\( \frac{2}{100} \)[/tex] with [tex]\( \frac{1}{50} \)[/tex].

3. Simplify [tex]\( \frac{2}{100} \) to \( \frac{1}{50} \)[/tex].

4. Since [tex]\( \frac{1}{50} \)[/tex] is smaller than [tex]\( \frac{1}{50} \)[/tex], we conclude that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Find the value of the expression 21 - 2a if a = 3

Answers

Answer:

15

Step-by-step explanation:

Substitute in the values

2 X 3 = 6

21 - 6 =15

Final answer:

To find the value of 21 - 2a when a = 3, substitute 3 for a and simplify to get 21 - 6, which equals 15.

Explanation:

The student has asked to find the value of the expression 21 - 2a given that a = 3. To solve for the expression, substitute the value of a into the expression:

21 - 2(3) = 21 - 6 = 15.

Therefore, the value of the expression when a is 3 is 15.

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Does 5 go into 100 equally

Answers

yes, 5 goes into 100 exactly 20 times because 5 multiplied by 20 is 100
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Environmentalists hope use of these new nets will protect the endangered marine species without interrupting commercial deep-sea fishing.Which of the following, if true, most strongly supports the claim that use of the new nets will have the intended effects?(A) The pheromones that would most attract the food species sought by commercial fishers indicate the presence of a dangerous threat to most of the endangered marine species.(B) Some endangered marine species are particularly large, as large any species targeted by commercial deep-sea fishing.(C) Most of the newly design nets are not significantly more expensive than a typical bottom trawling system.(D) Catching unintended, endangered species adds nothing to the profits of a commercial deep-sea fishing company.(E) Freshwater fishers often increase the odds of catching a desired fish, and avoid catching unintended species, by the specific design of the fishing hook. In a hypothetical situation, a certain species of flea feeds only on pronghorn antelopes. In thewestern United States, pronghorns and cattle often associate with one another in the same openrangeland. Some of these fleas develop a strong preference for cattle blood and mate only withother fleas that prefer cattle blood. The host mammal can be considered as the fleashabitat. If thissituation persists, and new species evolve, this would be an example of _____.A) allopatric speciation and gametic isolationB) sympatric speciation and temporal isolationC) allopatric speciation and habitat isolationD) sympatric speciation and habitat isolation When Kirk and Elisa formed their general partnership, Kirk contributed 90 percent of the capital, and Elisa contributed 10 percent. In the partnership agreement, they did not specify the percentage of the profits each partner would receive. In the first year of their partnership, they earned $35,000 in profits. Elisa's share of the profits is ________.a. $3,500.b. $10,000.c. $17,500.d. $35,000. Which sentence best expresses the main idea of paragraph 6?A. On the basis of her research, Baumrind has recommended that parents who want to raise competent, socially responsible, independent children should do several things.B. Teach by example, that is, behave the way you want your children to behave.C. Reward behaviors you want to encourage and punish behaviors you want to discourage, giving explanations in both cases.D. Demand achievement and the meeting of standards, while being open to hearing the childs point of view. Which factor MOST directly affects the flow of ocean currents?w of ocean currents? ASAP (100points) what impact did the house of burgesses and mayflower compact have on our government At the end of the year, the unadjusted balance in the Allowance for Uncollectible Accounts is $951 credit and Accounts Receivable $97,250 debit balance. What is the amount should be debited to Bad Debt Expense, assuming 6% of outstanding accounts receivable at the end of the year is uncollectable?