the sum of two numbers is 101. if there times the smaller number is subtracted from the larger number the result is 9. find the two numbers

Answers

Answer 1

x+y=101
y-3x=9

Solve the second equationf or y
y=3x+9

Substitute for y
x+3x+9=101
4x+9=101
4x=92
x=23

Fill in the x value
23+y=101
y=78

Final answer: 23, 78

Related Questions

y – (-5) = -7 can you help me solve this equation

Answers

y - (-5) = -7
y + 5 = -7
y = -12

1.multiply - × -5 = 5 ( negative times a negative = positive

2. subtract 5 to both sides

3. you get y = -12

Use pictures and numbers to show all the ways to take apart 8

Answers

Test if 8 is divisible by all possible numbers. Start by testing the smallest number possible (1) and making your way up to the largest number possible (7). 8/1= 8 8/2=4 8/3= not a whole number 8/4 = 2 8/5 = not a whole number 8/6 = not a whole number 8/7 = not a whole number note we did not try 8/8 because that would not be considered "taking apart". After sorting out our test answers we can conclude that you can take 8 apart in three ways. In 8 groups of 1, in 2 groups of 4, and in 4 groups of 2. You can show this in pictures by illustrating these groups. See Below x x x x x x x x xx xx xx xx xxxx xxxx

Find the cube number that is greater than 50 but less than 100

Answers

The cube number is 64. It is 4 x 4 x 4.

the cube number that is greater than 50 but less than 100 is 64

Mr. Johnson used 80 meters of fencing to enclose a rectangular garden.
The length of the garden is 25 meters.
How wide is the garden?
A) 25
B) 15
C) 30
D) 50

Answers

25*2 = 50

80-50 =30

30 /2 = 15

Answer is B

A car travels 208 miles on 10 gallons of gasoline. Mentally calculate the number of miles that the car travels on 1 gallon of gasoline.

Answers

10 gallons= 208
1 gallon: 208 ÷10= 20.8
(when you divide by 10, the decimal place jumps front 1 place!)
hope this helps!

What is the equation of the circle shown in the graph

Answers

The general equation for a circle is:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where (h,k) is center of circle
r = radius

For this example, from the graph you see the center is at (0,-3) and radius is 2.
h = 0, k = -3, r = 2

Sub into general equation:
[tex](x-0)^2 + (y-(-3))^2 = 2^2 \\ \\ x^2 +(y+3)^2 = 4[/tex]

The equation of the circle will be x² + (y + 3)² = 4. Then the correct option is C.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

The center of the circle is at (0, -3) and the radius of the circle is 2 units. Then the equation of the circle will be

(x - 0)² + (y - (-3))² = 2²

x² + (y + 3)² = 4

Then the correct option is C.

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The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

Answers

Answer:

∠WXZ = 52.5

Step-by-step explanation:

Angle Bisector is the line that divides that angle into two equal parts.

Hence, Ray XZ divide the ∠WXY into two equal parts.

⇒ [tex]\angle WXZ = \frac{1}{2} \angle WXY [/tex]

∴ [tex]\angle WXZ =\frac{1}{2}\times105^{\circ}=52.5[/tex]

⇒ ∠WXZ = 52.5

An angle bisector divides an angle into two equal parts.

The measure of [tex]\angle WXZ[/tex] is [tex]52.5^o[/tex]

Given that:

[tex]XZ \to[/tex] Bisector of [tex]\angle WXY[/tex]

[tex]\angle WXY = 105^o[/tex]

This means that:

[tex]\angle WXY = 2 \times \angle WXZ[/tex]

So, we have:

[tex]105^o = 2 \times \angle WXZ[/tex]

Divide both sides by 2

[tex]52.5^o = \angle WXZ[/tex]

Rewrite as:

[tex]\angle WXZ = 52.5^o[/tex]

Hence, the measure of [tex]\angle WXZ[/tex] is [tex]52.5^o[/tex]

Answers

Answer:

B. 0.0000000861

Step-by-step explanation:

The exponent of -8 tells you the leading digit (8) goes in the 8th spot to the right of the decimal point. The number is ...

[tex]0.0000\,0008\,61[/tex]

The tempature at 6:00 P.M. was 0°F. At midnight the tempature was 5° lower. By 6:00 A.M., the tempature was 4° lower than it had been at midnight. By noon, the tempature had gone up by 10°. What was the noontime tempature?

Answers

1 degree Fahrenheit your subtracting 0 from 5 and you get -5 then you subtract -4 from -5 and you get -9 then add 10 and you get 1

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.)

5,280 feet = 1 mile

Answers

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

What is the simplified expression for the expression below?

4(3x – 2) + 6x(2 – 1)

Answers

4(3x – 2) + 6x(2 – 1)12x - 8 + 12x -6x18x - 8
answer is 18x – 8

its ethier 12 (2x-1)
or
24x-12

How do you write 314,207 in standard form?

Answers

314207 is standard form....

It is already in standard form. If you you like in word form and expanded form then here. Word form: three hundred fourteen thousand, two hundred and seven. Expanded form: 300,000 + 14,000 + 200 + 7. Once again 314,207 is already written in standard form. Hope this helps!

what is square root of 8 plus square root of 50 minus square root of 72

Answers

The square root of 8 is 3, the square root of 50 is 7, and the square root of 72 is 8. 3+7-8=2.

Answer:

1.41421356237 making it a terminating decimal.

Step-by-step explanation:

2.82842712475

7.07106781187

8.48528137424

Simplified Answer

1.4 or 1.41

I hope this helped :) can you please mark as brainliest?

a student worked 5 days/week and 8h/day. he earned $300/week. What was his hourly rate of pay?

Answers

5 days x 8 hours per day = 40 hours total

300/40 = $7.50 per hour

The hourly rate for students will be $7.5 per hour.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Number of days working in one week = 5 days

Number of hours working in one day = 8 hour

So,

A number of hour working in one week = 5 × 8 = 40 hours.

Now

Hourly rate of pay = Earning per week/number of hours working per week

Hourly rate of pay = 300/40 = $7.5.

Hence "The hourly rate for students will be $7.5 per hour".

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Each beehive on larsons honey farm usually produces 85 pounds if honey per year. About how many pounds of honey wil 10 to 3power hives produce in a year

Answers

1 beehive produces 85 lb/year

10³ beehives = 1,000 beehives produce 85x1,000 = 85,000 lb/year

What set of 3 numbers have GCF of 3

Answers

9,12 and 15 have the GCF of 3. Hope I helped!

what is 3/5 x +1.4y=2/5

Answers

Your question is somewhat ambiguous.
If you want to solve this equation for y in terms of x, first multiply all of its terms by the LCD (which is 5), to remove the fractions.

5(3/5)x + 5(1.4y) = 5(2/5)
Then 3x + 7y = 2 This is the equation of the line in "standard form."

Next, subtract 3x from both sides: 7y = -3x + 2
Dividing by 7, y = (-3/7)x + (2/7)

This is the slope-intercept form of the given equation. It has a slope of -3/7 and a y-intercept of (0, 2/7).

The point-slope form of the same equation is

y- 2/7 = (-3/7)(x - 0), or -3x/7. y - 2/7 = (-3/7)x

Final answer:

The given equation is a linear equation in standard form. It can be solved for 'y' by isolating 'y' on one side. The resulting 'y' expression represents a straight line in a 2D coordinate system.

Explanation:

The equation 3/5 x + 1.4 y = 2/5 is a linear equation in the standard form a*x + b*y = c. In this equation, 'x' and 'y' are variables, '3/5' is the coefficient of 'x', '1.4' is the coefficient of 'y', and '2/5' is a constant.

To solve this equation, we can neatly isolate 'y' by subtracting '3/5 x' from both sides of the equation which would give us 1.4*y = -3/5*x+2/5. Then, we could further simplify by dividing both sides by '1.4', giving the equation for 'y' in terms of 'x'.

Note that this equation represents a straight line in a coordinate system. The value of 'x' and 'y' would depend on the specific problem's constraints or where this line intersects with another line in a system of linear equations.

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Selena's family took a road trip. The first day they traveled 462 miles in 7 hours. They continued at the same rate on the second day and traveled for 4 hours. How far did they travel in all?

Answers

First, find the rate of travel (speed). 462 miles in 7 hours comes out to 66 mph.

The first day, the family covers 462 miles.

The second day, the family covers (66 mph)(4 hours) = 264 miles.

Just add 462 miles and 264 miles together to find the total distance traveled.

Hello! 462/7 = 66. Selena’s family drove 66 miles per hour. Then, they drove the same rate again for 4 hours. 66 * 4 = 264. 462 + 264 = 726. Her family drove a total of 726 miles.

what is the value of a laptop that is 1700.00 with a decrease of 35% for 5 years

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &1700.00\\ r=rate\to 35\%\to \frac{35}{100}\to &0.35\\ t=\textit{elapsed time}\to &5\\ \end{cases} \\\\\\ A=1700.00(1-0.35)^5[/tex]

best estimate of 48% of 60

Answers

A very good estimate of 48% of 60 is 30, since 48% is almost half of a number, and 30 is half of 60. When you 60 * 0.48, the real answer is 28.8.

a sixth grade class has 12 boys and 24 girls consider this statement: <br />for every two boys there are 4 girls do you agree with this statement?

Answers

so the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4? let's see.

[tex]\bf \cfrac{boys}{girls}\qquad 12:24\qquad \cfrac{12}{24}\implies \boxed{\cfrac{1}{2}} \\\\\\ \cfrac{boys}{girls}\qquad 2:4\qquad \cfrac{2}{4}\implies \boxed{\cfrac{1}{2}}[/tex]

you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4 and stop there.

then you'll notice that 12/24 is really 2/4 in disguise.

What is: Q=1/2P+15, solve for P?

Answers

Answer:

2 ( Q - 15 ) = P

Step-by-step explanation:

[tex]Q =\frac{1P}{2} + 15[/tex]

First, take 15 to the left side.

[tex]Q -15=\frac{1P}{2}[/tex]

Multiply both sides by 2.

2 ( Q - 15 ) = 1P

Divide both sides by 1.

2 ( Q - 15 ) = P

If a well pumps at a rate of 8.4 gal per minute how long would it take to fill the tank described above

Answers

Final answer:

To calculate the time it takes to fill a tank using a well pump that pumps at 8.4 gallons per minute, divide the tank's volume (in gallons) by the pump's output rate (8.4 gallons per minute). For example, for a tank with a volume of 84 gallons, it would take about 10 minutes to fill.

Explanation:

The time it takes to fill the tank with a well pump pumping at a rate of 8.4 gallons per minute depends on the size of the tank, which wasn't specified in your question. However, to calculate this, you would use the formula: Time = Volume / Rate. If 'Volume' is the size of your tank in gallons and 'Rate' is the rate the well pump can pump water in gallons per minute (8.4 in this case), you would divide the 'Volume' by the 'Rate' to get the time it would take to fill the tank in minutes.

For example, if your tank has a volume of 84 gallons, using our formula: Time = Volume / Rate, it would translate to Time = 84 / 8.4. This gives us a duration of 10 minutes.

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3x + 8 = -x + 20 What is x?

Answers

First, lets take all the x values on one side.

3x + x + 8 = -x + x + 20
4x + 8 = 20

Now, lets put the numbers on the other side.

4x + 8 - 8 = 20 - 8
4x = 12
x = 3

Hope this helps!

Hello there.

First, we need to isolate x to one side of the equation. To do this, we need to cancel out one of the x's by adding or subtracting it's opposite. Since the right side of the equation has a lower value, we'll cancel that one.

Remember, what you do to one side of the equation, you must do to the other side.

3x + 8 = -x + 20
Add 1x to both sides (this cancels out -x and adds 1x to 3x).

4x + 8 = 20
Now we need to isolate the variable. Our current equation has the variable being added to a number, so we need to cancel out that number. To do this, we need to subtract the value of the number.

4x + 8 = 20
Subtract 8 from both sides.

4x = 12
Now, all we need to do is perform the opposite order of operations to 4x in order to solve for x. Since x is being multiplied by 4, we need to divide both sides by 4.

x = 3 is your answer.

I hope this helps, and have a great day!

If country a has 163,950 million more computers than country b and the total number of computers for both countries is 314,250 million, find the number of computers for each country

Answers

Country A = 163,950
Country B = ?
314250= B+[B+163950]
314250-163950= 2B
150300=2B
B=75150 millon
A=239100 millon

Answer:

Country A has 239100 million computers and country B has 75150 computers.

Step-by-step explanation:

Let country A has number of computers = x

and the number of computers in country B = y

By the statement " Country A has 163950 million more computers than country B"

x = y + 163950 ------(1)

Another statement states " Total number of computers in both the countries is 314250 million"

x + y = 314250 --------(2)

Now we place the value of x from equation (1) to equation (2)

y + y + 163950 = 314250

2y = 314250 - 163950

2y = 150300

y = [tex]\frac{150300}{2}[/tex]

= 75150

From equation 1

x = 75150 + 163950

= 239100

Therefore, country A has 239100 million computers and country B has 75150 computers.

Really need help with this, am I on the right track or no?

Answers

[tex]\bf a)\\\\ V=\stackrel{\textit{volume of cone}}{\cfrac{\pi r^2\cdot \boxed{3r}}{3}}+\stackrel{\textit{volume of hemisphere}}{\cfrac{2\pi r^3}{3}}\implies V=\cfrac{3\pi r^3}{3}+\cfrac{2\pi r^3}{3} \\\\\\V=\cfrac{5\pi r^3}{3} \\\\\\ S=\stackrel{\textit{lateral area of cone}}{\pi r\sqrt{r^2+\boxed{3^2r^2}}}+\stackrel{\textit{area of hemisphere}}{2\pi r^2}\implies S=\pi r\sqrt{r^2+9r^2}+2\pi r^2[/tex]

[tex]\bf S=\pi r\sqrt{10r^2}+2\pi r^2\implies S=\pi r^2\sqrt{10}+2\pi r^2 \\\\\\ S=\pi r^2(2+\sqrt{10})\\\\\\ b)\\\\ \stackrel{A=kS}{A=k\cdot \pi r^2(2+\sqrt{10})}\qquad \qquad \stackrel{C=kV}{C=k\cdot \cfrac{5\pi r^3}{3}}[/tex]

[tex]\bf c)\\\\ A\ge C\implies k\cdot \pi r^2(2+\sqrt{10})\ge k\cdot \cfrac{5\pi r^3}{3} \\\\\\ k\pi r^2(2+\sqrt{10})\ge \cfrac{5k\pi r^2r}{3}\implies \cfrac{\underline{k\pi r^2}(2+\sqrt{10})}{\underline{k\pi r^2}}\ge\cfrac{5r}{3} \\\\\\ 3(2+\sqrt{10})\ge 5r\implies 6+3\sqrt{10}\ge 5r\implies \cfrac{6+3\sqrt{10}}{5}\ge r[/tex]

The square root of -108

Answers

Because the number you provided is negative, we won't get a real answer instead a complex answer.

Now simplify the square root.

To simplify a square root, find two factors where one of the factors is a perfect square.

[tex]\sqrt{-108} = \sqrt{(-3)(36)} = \sqrt{-3}\sqrt{36} = 6\sqrt{(-1)(3)} = 6\sqrt{(-1)}\sqrt{3} = 6i\sqrt{3}[/tex]

a central angle θ of a circle with radius 16 inches subtends an arc of 19.36 inches. find θ

Answers

I believe you're going to be working in degrees, there is a different scaling factor for radians (θ/2pi). The arc length formula is just the formula for the circumference of a circle scaled by how many degrees of the circle you have. In this case, radius is 16, arc length is 19.36. Then we have:
[tex]19.36=2 \pi (16)\frac{\theta}{360}[/tex]

Solve for θ.

The required measure of the angle Ф is given as Ф = 69.36°.

As mentioned in the question, a central angle θ of a circle with a radius of 16 inches subtends an arc of 19.36 inches.

What are the angles?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
Angle = [arc/radius] 180/π
Substitute the values in the above equation,
Ф = [19.36/16]180/3.14
Ф = 69.36°

Thus, The required measure of the angle Ф is given as Ф = 69.36°.

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What is the slope of the line passing through points A(−18,24) and B(16,−8)?
Enter your answer as a ratio, in simplest form, like this: 42/53

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ -18}}\quad ,&{{ 24}})\quad % (c,d) B&({{ 16}}\quad ,&{{ -8}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-8-24}{16-(-18)}\implies \cfrac{-8-24}{16+18} \\\\\\ \cfrac{-32}{34}\implies -\cfrac{16}{17}[/tex]

How many liters of milk are in 334 gal (1 gal = 4 qt)? enter your answer in scientific notation?

Answers

1 gallon = 3.7854118 liter.

So 334 gallon = 334*3.7854118 = 1264.328 liters.

Now we can write it as
[tex]1264.328 = 1.264328 * 10^{3}[/tex]

So in scientific notation 334 gallon equal to [tex]1.264328*10^{3}[/tex]

1.2643275×10³ litres of milk are in 334 gals.

We need to find out how many litres of milk are in 334 gals (1 gal = 4 qt).

What is scientific notation?

The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.

We know that, 1 gallon=3.785411784 litre

Now, 334 gallon=334×3.785411784

=1,264.3275 litres

=1.2643275×10³

Therefore, 1.2643275×10³ litres of milk are in 334 gals.

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