In a two-digit number, the units digit is six less than three times the tens digit. Four times the units digit minus five times the tens digit equals 11. Find the digits.

Histogram attached

Answer and explanation:

To find the center of the distribution, we find the mean of the distribution.

Mean= sum of all values/number of values

To calculate the mean of the distribution using the histogram(attached) with given frequencies, we find the mid point of each class and multiply by its frequency to get the sum of the values(estimated) and then divide by the number of values(sum of the frequencies of the classes)

midpoint of 50-60=50+60/2=55

midpoint of 70-80=150/2= 75

midpoint of 80-90=170/2=85

midpoint of 90-100=190/2=95

midpoint of 100-110=210/2=105

Midpoint of 110-120=230/2=115

Midpoint of 120-130=250/2=125

Midpoint of 130-140=270/2=135

Midpoint of 140-150=290/2=145

Midpoint of 150-160=310/2=155

Sum of the values= 55*frequency= 55*3+75* 2+85*1+95*7+105*17+115*29+125*10+

135*2+145*3+155*3

Sum of all values =8605

Number of values= 3+2+1+7+17+29+10+2+3+3=77

Mean= 8605/77= 111.753

Therefore the center of the distribution is between 110 and 120 calories.

Answer:

22.5% Hope this helps

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

Answer:

m<BGC = 145°

Step-by-step explanation:

<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:

m<AGC = m<DGB

[tex] 3x + 20 = 8x - 5 [/tex] (substitution)

Collect like terms

[tex] 3x - 8x = -20 - 5 [/tex]

[tex] -5x = -25 [/tex]

Divide both sides by -5

x = 5

m<BGC = 180 - (m<AGC) (linear pair)

m<BGC = 180 - (3x + 20)

Plug in the value of x

m<BGC = 180 - (3(5) + 20) = 180 - 35

m<BGC = 145°

Answer:

the number is 11

Step-by-step explanation:

"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95

Add 4 on each side: 9x = 99

Divide each side by 9: x = 11

I hope this helped, please mark Brainliest, thank you!

Answer:

Step-by-step explanation:

Let a number be X

So

Nine times a number, diminished by 4, is 95

9x-4=95

9x=95+4

9x=99

X=99/9

X=11

So the number is 11

Answer:

B is (4,0) and D is (8,10)

Step-by-step explanation:  Read the x and y cordinates

Answer:

(8,10)

Step-by-step explanation:

coordinates are set up like (x,y)

8 is in the x

10 is in the y

Answer:

Ok. I'm sorry Jules lost a golf ball. Is there a question?

Answer:

jus buy a new one

Step-by-step explanation:

they lost the golf ball so they need to buy a new one cuh

Answer:

six points for all this ? HAHAHAHAHA LFMAO

Step-by-step explanation:

Answer:

Step-by-step explanation:

should be 1110

Answer:

1110

Step-by-step explanation:

Answer:

237 is how much it changed

Step-by-step explanation:

all you do is 287 - 50 thats ur answer

Answer:

You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Step-by-step explanation:

With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:

30 cups of orange juice → 18 cups of pineapple juice

 1 cup of orange juice    →                    x

x=(1*18)/30=0.6 cups of pineapple juice

According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Answer:

D

Step-by-step explanation:

I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.

Answer:

The total number of miles you will be traveling for the entire round trip is 125650 miles.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

The question states that 1 inch = 4 miles. Therefore, if you multiply 31412 inches by 4, you will get the total number of miles you will be traveling for the round trip.

31412 × 4 = 125650

Therefore, the total number of miles you will be traveling for the entire round trip is 125650 miles.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ2

Answer:

[tex]x =3[/tex] or [tex]x = 7[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 10x = -21[/tex]

Required

Solve by factoring & quadratic formula

By Factoring:

[tex]x^2 - 10x = -21[/tex]

Equate to 0

[tex]x^2 - 10x +21 = 0[/tex]

Expand:

[tex]x^2 - 7x -3x+21 = 0[/tex]

Factorize:

[tex]x(x-7)-3(x-7) = 0[/tex]

[tex](x-3)(x-7) = 0[/tex]

[tex]x -3 = 0[/tex] or [tex]x - 7 = 0[/tex]

[tex]x =3[/tex] or [tex]x = 7[/tex]

By quadratic

[tex]x^2 - 10x = -21[/tex]

Equate to 0

[tex]x^2 - 10x +21 = 0[/tex]

For

[tex]ax^2 + bx + c = 0[/tex]

x is solved using:

[tex]x = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

where

[tex]a = 1[/tex]; [tex]b = -10[/tex]; [tex]c = 21[/tex]

So:

[tex]x = \frac{-(-10)\±\sqrt{(-10)^2-4*1*21}}{2*1}[/tex]

[tex]x = \frac{10\±\sqrt{100-84}}{2}[/tex]

[tex]x = \frac{10\±\sqrt{16}}{2}[/tex]

[tex]x = \frac{10\±4}{2}[/tex]

Split

[tex]x = \frac{10+4}{2}[/tex] or [tex]x = \frac{10-4}{2}[/tex]

[tex]x = \frac{14}{2}[/tex] or [tex]x = \frac{6}{2}[/tex]

[tex]x = 7[/tex] or [tex]x =3[/tex]

Answer:

Its A

Step-by-step explanation:

Answer: It depends on how many friends Eric had, and how many bottles they wanted. I would be able to answer more if your were a little more specific with the details

Step-by-step explanation:

The given linear system is:

[tex]\displaystyle \left \{ {{5x+3y=1} \atop {-5x-7y=31}} \right.[/tex]

Linear systems can be solved using either elimination or substitution. However, the question is asking to solve using elimination, so I will use that method.

When eliminating, you can either eliminate x or y. In this system, x is much easier to eliminate. The x variable in the first equation is 5x, and in the second equation, it is -5x. Since 5 and -5 cancel each other out, you don't need to do anything other than add.

[tex]5x+3y=1\\-5x-7y=31[/tex]

[tex]\displaystyle 3y-7y=1+31\\-4y=32[/tex]

Lastly, you need to leave the variable y alone. The variable is currently -4y or -4 times y. To remove it, you need to do the opposite of it, which is dividing by -4.

Divide both sides by -4:

[tex]\displaystyle\frac{-4y}{-4} =\frac{32}{-4}[/tex]

[tex]\displaystyle y=-8[/tex]

Now that you have the value of y, substitute it into one of the equations to find x. I will be substituting it into the first equation.

[tex]\displaystyle 5x+3y=1 \rightarrow 5x+3(-8)=1[/tex]

Open the parentheses and multiply:

[tex]5x-24=1[/tex]

Move 24 to the other side to leave the variable alone:

[tex]5x-24+24=1+24[/tex]

You will be adding since you're "removing" it by doing the opposite of it.

[tex]5x=25[/tex]

Lastly, divide both sides by 5 to leave x alone.

[tex]\displaystyle \frac{5x}{5} =\frac{25}{5}[/tex]

[tex]x=5[/tex]

[tex]\displaystyle (x,y) \rightarrow (5, -8)[/tex]

The answer is (5, -8).

Answer:

m = 2

Step-by-step explanation:

Answer: 3.25 + 5.50s ≤ 30

Step-by-step explanation:

The following information can be gotten from the question.

Cost of chocolate milk = $3.25

Cost of stack pancake = $5.50

Maximum amount to be spent by Benjamin = $30

Number of stacks of pancakes to be bought = s

First, we need to calculate the stacks of pancakes that Benjamin can buy. This will be:

= $5.50 × s

= 5.50s

Therefore, the total money that Benjamin will spend will be:

= 3.25 + 5.50s

Since he wants to be able to be at most $30 before tax, the inequality can be written as:

= 3.25 + 5.50s ≤ 30

Answer:

Fuel efficiency of first car = 30 miles/gallon

Fuel efficiency of second car = 25 miles/gallon

Step-by-step explanation:

Given that:

Fuel consumed by first car = 40 gallons

Fuel consumed by second car = 15 gallons

Total distance drove by the two cars combined = 1575 miles

Sum of their fuel efficiencies = 55 miles/gallon

To find:

The fuel efficiencies of each of the cars = ?

Solution:

Fuel efficiency of a car is defined as the ratio of distance traveled in miles to the number of gallons used by the car.

Let the distance traveled by first car = [tex]x[/tex] miles

So, the distance traveled by other car = (1575 - [tex]x[/tex]) miles

Fuel efficiency of first car = [tex]\frac{x}{40}[/tex] miles/gallon

Fuel efficiency of second car = [tex]\frac{1575-x}{15}[/tex] miles/gallon

As per given question statement:

[tex]\frac{x}{40}+\frac{1575-x}{15}=55\\\Rightarrow 15x+1575\times 40-40x=55\times 40 \times 15\\\Rightarrow 25x=30000\\\Rightarrow x =1200\ miles[/tex]

Distance traveled by first car = 1200 miles

Fuel used by first car = 40 gallons

So, fuel efficiency of first car = [tex]\frac{1200}{40} = \bold{30\ miles/gallon}[/tex]

Distance traveled by second car = 1575 - 1200 = 375 miles

Fuel used by second car = 15 gallons

So, fuel efficiency of second car = [tex]\frac{375}{15} = \bold{25\ miles/gallon}[/tex]

Answer:

Remote Control Car Fast RC Cars Toys for 6-12 Years Old Boys,High Speed RC Truck Offroad Remote Control Truck RC Rock Crawler All Terrain RC Car Toys for Boys Kids Gift (Green) 3.6 out of 5 stars 141 More Buying Choices $14.62 (1 used offer)

Step-by-step explanation:

Answer:

When s = 20, r = 9

Step-by-step explanation:

Given,

s is directly proportional to (r + 1)

s = k(r + 1)

(k is the constant of proportionality)

When s = 8,

8 = k(3 + 1)

8 = k(4)

8 = 4k

8/4 = k

2 = k

When s = 20,

20 = 2(r + 1)

20 = 2r + 2

20 - 2 = 2r

18 = 2r

18/2 = r

9 = r

Answer:

x=5+5√2; x=5-5√2

Step-by-step explanation:

To complete the square we need to turn part of the equation into a perfect square trinomial. Remember, in any equation we can do anything we like to the numbers as long as both sides stay equal.

First, let's subtract 10 from both sides.

x^2-10x=25

This does not factor, so we need to turn it into a perfect square trinomial by adding the quantity equal to (b/2)^2. In this case, (b/2)^2 is 25.

x^2−10x+25=25+25

IMPORTANT: You must keep the sides of the equation equal, so we added a 25 to the right side as well to keep the equation true.

From here we can factor, simplify and find our zeroes.

(x-5)(x-5)=50

(x-5)^2=50

x-5=±√50

x=5±√50

√50=5√2

So our final answer is:

x=5+5√2; x=5-5√2

HTH :)

Answer:

110⁰!!

Step-by-step explanation:

so this is an isosceles triangle! the base angles are always equal to each other. since 35 is a vertical angle, the base angle vertical to that would be 35. and since base angles ALWAYS equal each other, they would both be 35.

35+35=70, 70 is the base angles added up

180-70=110

c=110

Answer:

10.5

Step-by-step explanation:

2.99 divided by 2 = 1.495 x 7 = 10.465, rounded is 10.5.

Answer:

13

Step-by-step explanation:

Answer:

yes it is 13 i think

Step-by-step explanation:

lol i hope this is it

9514 1404 393

Answer:

  30

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators.

Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:

  LCD = 3×10 = 30

The least common denominator is 30.

__

If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.

Answer:

8

the answer is 806

Step-by-step explanation:

840-36=806