There are two numbers which sum to 23. If one number is seven less than four times the other, find the numbers.

Answers

Answer 1

Answer:

Numbers are 6 and 17.

Step-by-step explanation:

Let the two numbers are 'a' and 'b'.

"Sum of these numbers = 23"

a + b = 23 --------(1)

"One number is 7 less than 4 times the other"

a = 4b - 7 ---------(2)

Substitute the value of 'a' in equation (1) from equation (2)

(4b - 7) + b = 23

5b - 7 = 23

5b = 23 + 7

5b = 30

b = 6

From equation (2),

a = 4b - 7

a = 4×6 - 7

a = 24 - 7

a = 17

Therefore, the numbers are 6 and 17.

Answer 2

Answer: 7 and 16

Step-by-step explanation:

Let x be the smaller of the two numbers. We are told that the larger number is five less than three times the smaller number x. Therefore, our two numbers are x and 3x−5. Given that the sum is 23, we find that

x+(3x−5)=23

Solving for x, we find that x=7. So the two numbers are 7,16.


Related Questions

Can someone plzz help me on thiss!

Answers

Answer:

A

Step-by-step explanation:

because it goes up constantly by 12

If a fair die is rolled four times, which of the following is closest to the probability that at least one
roll will show the number 4?*
1) 17%
2) 67%
3) 52%
4) 36%​

Answers

Answer:

Answer is 67%

Step-by-step explanation:

If you want to get the number four from 4 rolls the chances would be

1st roll = 1/6 (16.667%)

2nd roll = 2/6 (33.333%)

3rd roll = 3/6 (50.000%)

4th roll = 4/6 (66.667%)

So the answer is 67%

A new club sent out 195 coupons to boost sales for next years memberships they provided four times as many then to existing members how many coupons that they sent to existing members

Answers

Answer:idk

Step-by-step explanation:

sorry

30 POINTS FOR THIS ONE

1.

In the equation 0.5x - 8 = 1.5, the decimal coefficient is ___________________.


2.

In the equation 3/4y + 1/2 = 3 1/4, the fractional coefficient is _____________________.


3.

In the equation -2 - 6b = 32, the negative coefficient is ___________________.


4.

In the equation 5x + 9 = 3x, 3x is a like term with _______________________.

Answers

Answer:

1. 0.5

2. 3/4

3. -6

4. 5x

Step-by-step explanation:

1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.

The decimal coefficient is therefore 0.5. It is the coefficient of x.

2. The fractional coefficient is 3/4. It is the coefficient of y.

3. The negative coefficient is -6. It is the coefficient of b.

4. A like term is one which contains the same type of terms as another term.

3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.

Expand 4(2x - 3)
Please

Answers

Answer:

4(2x) 4(-3)

Step-by-step explanation:

Separate the two parts of what is inside of the parentheses to “expand” it.

Answer:

The correct answer is

2x − 3

You can expand using the binomial expansion theorem.

Hope this helps!

- Quinn <3

I will give brainliest answer and upvote

Answers

Answer:

397.39

Step-by-step explanation:

steps are all stated in the picture, basically use area of circle minus area of rectangle will give you the shaded area

Can you people help me please

Answers

Answer:

A: 5/23

Step-by-step explanation:

First, lets take the total amount of coins in the jar: 8 nickels, 10 dimes, 6 quarters, and 22 pennies- for a total of 46 coins.

The question is asking what the odds of pulling a dime are.

Since there is 46 coins in the jar, you can just do a fraction and set it up like this:

10

46

From there just simplify the fraction, 10 / 2 = 5, 46 / 2 = 23. The problem can't be simplified further, so the answer you originally had was correct. 5/23

Hope this helps, give brainliest pls blah blah blah

What is half the sum of a number and sum

Answers

Answer:

1/2(n+5)

Step-by-step explanation:

Please Answer Quick!!

Write 2 2/3 as an improper fraction. Then multiply the improper fraction by 1/4. Write the product as a reduced fraction.

Answers

Answer:

2 2/3 as an improper fraction is 8/3

8/3 × 1/4 = 2/3

Ronald throws a football at an intial velocity of 20 ft per sec. He releases the ball at a height of 5 feet.
1) What is the height of the football at time 2.25 seconds?
2) When does this football reach the highest point of its flight?
3) When does this football hit the ground?

Answers

Answer:

1) the football already reached the ground

2) t = 0.625 seconds

3) t = 1.46 seconds

Step-by-step explanation:

Data

initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²

1) time, t = 2.25 s

To relate these variables we need to use the next equation:

H = Hi + Vi*t - 1/2*g*t²

H = 5 + 20*2.25 - 1/2*32*2.25²

H = -31 ft

that is, 31 ft under the line of reference. This means that the football already reached the ground

2) At the highest point the final velocity (Vf) is zero.

To relate these variables we need to use the next equation:

Vf = Vi - g*t = 0

Vi = g*t

t = Vi/g

t = 20/32

t = 0.625 s

3) When the football hits the ground, ΔH = -5 ft. Then:

ΔH = Vi*t - 1/2*g*t²

-5 = 20*t - 1/2*32*t²

0 = -16t² + 20t + 5

Using quadratic formula:

[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]

[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]

[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]

[tex] t_1 = -0.21 [/tex]

[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]

[tex] t_2 =1.46 [/tex]

The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds

Can someone help me?? Please

Answers

6x3 is 18 so 1 x 3 is 3 the answer is 3

Answer:

3 lunches

Step-by-step explanation:

Find the domain and range of the relation. {(−7,−18),(−23,21),(4,13),(−17,22),(2,−10)}

Answers

Answer: Domain = all x values and Range = all y values

Step-by-step explanation:

The domain of a function is all the allowed x values that make the function true. Luckily you were already given the domain. Its all the x values.

The range of a function is pretty much all the allowed y values of a function. Or, what y values the function can be equal to. So that's just all the y values

When listing the domain and range, you generally want to do it from least to greatest and you do not want to repeat any values

Answer:

D:{ -23,-17,-7,2,4}

R:{-18,-10,13,21,22}

Step-by-step explanation:

The domain is the input

D:{ -7,-23,4,-17,2}

We normally put them in numerical order

D:{ -23,-17,-7,2,4}

The range is the output

R:{-18,21,13,22,-10}

We normally put them in numerical order

R:{-18,-10,13,21,22}

SS
question 6/12
A text message can have a maximum of 160 characters. If Daisy has typed 3 sentences with 45
characters each, then which equation can be solved to find the number of characters she can still
type. Let "c" equal number of Daisy characters left.

Answers

Answer:

c = 160 - 3(45)

Step-by-step explanation:

if c = the number of characters left;

160 = maximum number of characters that can be used in a text

3*45 = number of characters in sentences already used. (There are 3 sentences of 45 characters.)

(# of char left) = (max # char) - (# char already used) so:

c = 160 - 3*(45)

c = 160 - 135

c = 25

How to convert 1/4 to decimal form. How do I start that ? I obviously know it’s .25 but how do I show work ?

Answers

Answer:

(1/4 x 1 ) = 0.25

or (1/4) x 1 = 0.25

Step-by-step explanation:

We are doing the opposite to finding 25%

Which is 1/4 of 100%

We do this an opposite (not as inverse)

To find percentage increase as you can compare below.

or as percentage increase

230 x 0.25 (x 100) = 287.50  

Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.

Answer:

Use a calculator or use long division. See long division below.

Step-by-step explanation:

Use a calculator or use long division.

Long division:

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

        4     |  1

4 does not go into 1, so add a decimal pace to 1.

                    0.

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

            4    |  1.0

4 goes into 10 2 times.

                      0.2

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

             4    |  1.0

             -          8

           --------------

                        2

There is a remainder, so bring down another 0.

                      0.2

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

             4    |  1.00

             -          8

           --------------

                        20

4 goes into 20 5 times.

                    0.25

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

             4    |  1.00

             -          8

           --------------

                        20

               -        20

             --------------

                            0

The remainder is zero.

1/4 = 0.25

Pls help lol eeeeeeeeee :D :D

Answers

Answer:

9 units2

Step-by-step explanation:

area of a triangle= lengthxwidth/2

3x6=18/2=9

3 times 6 = 18/2 = 9

Function gis transformed to obtain function has shown.
g(x + 2) - 5
Which statement describes how the graph of his different from the graph of g?
A
The graph of h is the graph of g shifted 5 units to the left and 2 units down.
B.
The graph of h is the graph of g shifted 5 units to the right and 2 units up.
The graph of h is the graph of g shifted 2 units to the left and 5 units down.
C.
D.
The graph of h is the graph of g shifted 2 units to the right and 5 units up.
Reset
Next

Answers

Answer:

dont get mad  if I got it wrong but I think its C

Solve the equation: 9k - 2 - 43​

Answers

If simplified the new equation is 9k-45

Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Answers

Answer:

6.0869 mph

Step-by-step explanation:

Nina:

8 km: 45 mins

Jo:

8 km: 49 mins

Speed = distance / time

Speed= 8 / 49

I will give the brainiest answer

Answers

Answer:

D

Step-by-step explanation:

This net when folded, will become a triangular prism, which is only represented by option D.

The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two legs if the hypotenuse is 39 feet.

Answers

Answer:

leg 1= 36  feet

leg2 = 15  feet

Step-by-step explanation:

Hi, we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.  

leg1 = x

leg2 = x-21 (21 feet less than the other leg)

Replacing with the values given:  

39^2 = x^2 + (x-21)^2  

1,521 = x^2 + x^2 -42x +441

0 = 2x^2 -42x +441-1,521

0= 2x^2 -42x -1,080

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  (quadratic formula)

Replacing with the values given:  

x=-(-42)± √(-42)²-4(2)-1080] /2(2)  

x= 42± √10,404] /4

x = 42± 102 /4

Positive:

x = 42+102 /4 = 36

leg 1= 36

leg2 = 36-21 =15

Feel free to ask for more if needed or if you did not understand something.  

The length of shorter leg is 15 feet and other leg is 36 feet.

Pythagoras theorem:

Let us consider that, length of shorter leg is x feet.

So that, length of other leg is [tex](x+21)[/tex] feet.

It is given that, the hypotenuse is 39 feet.

Apply Pythagoras theorem,

                 [tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]

Since, side can not be negative.

So that, we have to consider x=15 feet.

Length of other leg[tex]=x+21=15+21=36feet[/tex]

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

What is the greatest common factor of 90 xy2 and 12xy?
6xy
B.
6xy
C.
12xy
D.
12xy?
Reset​

Answers

Answer: B 6xy2

Step-by-step explanation:

because 90xy3 and 12xy are made by 6xy2.

What is the solution to this equation?
2x + 3 = x − 4

Answers

Answer:

-7

Step-by-step explanation:

2x+3=x-4

Let's start by subtracting 3 from both sides

2x=x-7

Now, subtract x from both sides

x=-7

Let's plug it in to make sure!

2(-7) +3= (-7)-4

-11=-11

Answer:

x= -7

Step-by-step explanation:

You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3

Consider the quadratic function f(x) = x2 – 5x + 6.
What are the values of the coefficients and constant in the function?
a=
b =
с =

Answers

a=1

b=-5

c=6

Coefficient is very easy. Just take the number in front of the constant x

Answer:

a = 1

b = - 5

c = 6

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = x² - 5x + 6

a = 1

b = - 5

c = 6

Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric

2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b


P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY

Answers

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

It is provided that:

Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Answer:

Answer is C

Step-by-step explanation:

The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)

CAN 10/12 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 7/16 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 2/9 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

CAN 1/8 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO

Answers

Answer:

No

Yes

No

No

Step-by-step explanation:

Solve for X
Show work!
Help!

Answers

Answer:

x=19

Step-by-step explanation:

The 2 angles are inside of a right angle.  We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.

3x+11+22=90

Combine like terms by adding 11 and 22

3x+33=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.

3x+33-33=90-33

3x=90-33

3x=57

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=57/3

x=57/3

x=19

Answer:

X=19

Step-by-step explanation:

3x+11+22=90

3x+33=90

   -33   -33

——————-

 3x= 57

——   ———

3          3

———————

x= 19

how to solve x - 7 = -13

Answers

Answer:

x = -6

Step-by-step explanation:

to solve this you can just add 7 to both sides of the equation.

x -+7 = -13

  +7      +7

x = -6

this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.

hope it helps!

Which graph represents the solution for the equation 1/6 x = -2x + 5?

Answers

I think the answer is C

let z - 2 be an odd integer, is z+1 odd or even? explain

Answers

Answer:

Even

Step-by-step explanation:

If z-2 is an odd integer, that means z itself is an odd integer because very other integer is odd. Next, an odd integer + 1 is always an even integer. Therefore, z + 1 is an even integer.

What is 4.6% of 1.9? Round to the nearest hundredth (if nece
ecessary)

Answers

Answer:

.0874 or .087

Step-by-step explanation:

Answer:

1.99

Step-by-step explanation:

4.6% > 0.046

0.046 x 1.9 = 0.0874

0.0874 + 1.9 = 1.9874

rounded to nearest hundredth

1.99

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