The sum of two numbers is 58 . the smaller number is 10 less than the larger number. what are the numbers?

Answers

Answer 1
X+Y=58
X-Y=18 ADD
----------------
2X=76
X=76/2

X=38 ANS. FOR THE LARGER NUMBER.
38+Y=58
Y=58-38
Y=20 ANS. FOR THE SMALLER NUMBER.
PROOF:
38-20=18
18=18

Related Questions

The graph shows the function of f(x)=(3.5)^x

Which graph represents the function g(x)=(3.5)^x-1?

Answers

The one that passes through the origin. That one in the lower left part.

Answer:

The graph of the function is the last graph.

Step-by-step explanation:

To know which graph represents the function [tex]g(x)=3.5^{x-1}[/tex] you should give values to x and compare it with the values on the graphs, as follows:

When x=-3

[tex]g(-3)=3.5^{-3-1}[/tex]

[tex]g(-3)=3.5^{-4}[/tex]

[tex]g(-3)=0.007[/tex]

So, the first point is (-3, 0.007)

When x=-2

[tex]g(-2)=3.5^{-2-1}[/tex]

[tex]g(-2)=3.5^{-3}[/tex]

[tex]g(-2)=0.02[/tex]

So, the second point is (-2, 0.02)

When x=-1

[tex]g(-1)=3.5^{-1-1}[/tex]

[tex]g(-1)=3.5^{-2}[/tex]

[tex]g(-1)=0.08[/tex]

So, the third point is (-1, 0.08)

When x=0

[tex]g(0)=3.5^{0-1}[/tex]

[tex]g(0)=3.5^{-1}[/tex]

[tex]g(0)=0.29[/tex]

So, the fourth point is (0, 0.29)

When x=1

[tex]g(1)=3.5^{1-1}[/tex]

[tex]g(1)=3.5^{0}[/tex]

[tex]g(1)=1[/tex]

So, the fifth point is (1, 1)

When x=2

[tex]g(2)=3.5^{2-1}[/tex]

[tex]g(2)=3.5^{1}[/tex]

[tex]g(2)=3.5[/tex]

So, the fourth point is (2, 3.5)

If you compares all the points, the graph of the function is the last graph.

Please help me thank you.

Answers

The relevant formula for the area of the triangle is
.. A = (1/2)ab*sin(C)
.. = (1/2)*(2.75 mi)*(1.32 mi)*sin(35°)
.. ≈ 1.04 mi^2

The 4th selection is appropriate.

At Devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.

In the second week, he spent $2 more in total for the 5 lunches than the first week.

What is the increase in the mean for the second week compared to the first?



Round the answer to the nearest penny.

Enter your answer in the box.

Answers

The mean for the second week increased by $0.40.

The mean for the first week is found by adding the data points and dividing by 5:
(12.99+10.50+9.89+6.90+7.58)/5 = $9.57

Since the cost increased by $2 the second week, we add two to the data points before dividing by 5:
(12.99+10.50+9.89+6.90+7.58+2)/5 = $9.97

To find the increase in means, subtract them:
9.97-9.57 = $0.40.

Answer:

$0.40

Step-by-step explanation:

Did the test, K12

Jorani flips two standard American quarters. How many ways can she get at least one head?
Hint: Let 2004-06-03-01-00_files/i0250000.jpg and let 2004-06-03-01-00_files/i0250001.jpg,

Answers

When flipping two standard American quarters, there are four independent possible outcomes: -Tails, tails -Heads, heads -Heads, tails -Tails, heads Looking, then, at these four outcomes, there are three of those that include at least one head. As such, the answer to this question is three possibly different ways for her to achieve the desired outcome.
The answer is 3 I just took the test.

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. find the probability of exactly five girls in ten births.

Answers

Final answer:

This answer explains how to calculate the probability of having exactly five girls in ten births using the binomial probability formula.

Explanation:

Probability of Exactly Five Girls in Ten Births:

Calculate the probability of having a girl in a single birth: P(girl) = 0.5Use the binomial probability formula to find the probability of having exactly five girls in ten births: P(5 girls) = (10 choose 5) * (0.5)^5 * (0.5)^5Substitute the values and calculate the probability: P(5 girls) = 0.246

The figure below shows half circles at the ends of a rectangle with the demensions shown. Which is closest to the area of the figure in square inches?

75
95
106
154

Answers

The closest answer is 95 square inches. Here is why.  You can find the area of the rectangle by multiplying the length by the width.  This would be 15 x 5 = 75 square inches.  The area of the whole circle that is created when you put both halves together would be found by multiplying 3.14 x 2.5 in (the radius) x 2.5 in.  This answer is about 20 square inches.  The combined area is approximately 95 square inches.

Please help me hurry!!!!
ASAP HELP ME

Answers

2.5 you'r right im preety shure 

Please help with this Algebra 1 math problem:

A system of equations is shown below:

3x - y = 2
x + y = 6

The x-coordinate of the solution to this system of equations is _____.,

Answers

2................................................................
3x - y = 2

x + y = 6


This system is already in a nice form to do the elimination method on the y variable.

We simply add vertically.


4x = 8.


x = 2. The x-coordinate of the solution is 2.


We can plug the value in to find y if needed.

2 + y = 6.

y = 4.

A student solved this problem and said the answer was hour 3/4. Cindy rode her bike for 1/2 hour and ran for 1/4 hour. What was the total length of time that Cindy exercised? Is the student's answer reasonable?
A. Yes, the answer is reasonable.
B. No, the answer is not reasonable. It should be about 2 hours.
C. No, the answer is not reasonable. It should be about 1/4 hour.
D. No, the answer is not reasonable. It should be about 6 hours.

Answers

LETS DO THE MATH
1/2=2/4 - equivalent fractions
2/4+1/4=3/4
choice A

Lets do the math.

Cindy rode her bike for 1/2 of an hour, 
She ran 1/4 of an hour.
1/2 + 1/4 = 3/4
 The answer is A
Hope this helps :)

Investments are different from savings accounts in that they _____.

A. guarantee never to lose money
B. are FDIC-insured
C. can only be accessed online
D. offer high profit potential
@Loveiskey18

Answers

The correct answer is D, investments offer high profit potential. Savings accounts offer less financial incentive, but they are less risky: they are FDIC insured and won't lose their value. Both investments and savings accounts can be accessed through a storefront or online, depending on the company.

what is the explicit formula and recursive formula of the numbers 4,7,10,13,16...i don't even know how to start this problem. i just need a bit of help or the answer because I'm running out of time.

Answers

An arithmetic sequence is a sequence with a constant

 increase or decrease also known as the constant difference

In the sequence 10, 40, 70, 100, ….

The constant difference between the terms is 30

A recursive formula for a sequence would be:

a1= first term in the sequence

an = term you are trying to find

an-1 = previous term in the sequence

d = constant difference

Explicit Formulas: 

A formula that allows you to find the nth term of the sequence by substituting known values in the expression.

Formula : an = a1 + d( n - 1)

a1= first term in the sequence

an = current term in the sequence

d = constant difference

n = term number

Solution: 

Write the explicit formula of the sequence 4, 7, 10, 13, 16 ….

Formula for explicit term:

an = ___ + ___( n - 1)

Simplify: an = ___ + ___n

In the sequence 4, 7, 10, 13, ….

To find the 11th term explicitly, I plug in the into the formula I just made: 

an = 1 + 3n

a11 = 1 + 3(11)   

a11 = 34 

Find the 15th term of the sequence using the formula: an = 1 + 3n

Write the recursive formula of the sequence 4, 7, 10, 13, ….

Recursive formula:

a1 =

an = a  n  - 1

In the sequence 4, 7, 10, 13, 16 ….

To find the 5th term recursively, I plug it into the formula I just made: 

  an = an-1 + 3

a5 = a5-1 + 3   in words: 5th  term equals the 4th term plus 3

a5 = 13 + 3 

a5 = 16  

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences


Evaluate n + 11 for n = 3.

311
33
14
8

Answers

When n = 3,

n + 11
= 3 + 11
= 14

Ans: 14

Answer:

what they r trying to say is n is 3 so 3+11=14

PLEASE HELP ME ON THIS‼️❗️

Answers

the last choice is correct

The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective. Which sampling methods are likely to be biased? Select each correct answer.


A.Every 40th board produced over the course of 1 week is selected and examined.

B. On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.

C. The manager selects 20 boards at random each day for 5 days and examines them.

D. The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied.

Answers

Sampling is the choosing of a group of individuals from within a statistical population to estimate attributes of the entire population. Options C & D are right.

What is the sampling method ?

Sampling is the choosing of a group of individuals from within a statistical population to estimate attributes of the entire population in statistics, quality assurance, and survey methods.

The following options are right;

C. The manager selects 20 boards at random each day for 5 days and examines them.

Reason;

This method, which involves sampling 30 boards in a row an hour after manufacturing begins, does not yield a significant sample size.

Furthermore, if a component of the equipment fails later in the day, the statistics will be deceptive. Similarly, statistics will be deceptive if the gear is only defective until it "warms up."

D. The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week was defective. Results from the first 5 customers to respond are tallied.

Reason;

These  technique, a voluntary survey, is likely to elicit replies solely from those who have strong feelings about their product.

Hence Options C & D are right.

To learn more about the sampling method refer to the link;

https://brainly.com/question/15125943

Methods B and D are biased for determining defective boards, while methods A and C minimize bias. Random sampling across different times and responses reduces bias in data.

The goal is to determine which sampling methods are likely to be biased when finding the percentage of defective boards produced by a sawmill.

A. Every 40th board produced over the course of 1 week is selected and examined. Bias: This method minimizes bias as it spreads out samples over time.B. On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined. Bias: This is likely biased as it does not account for variations in production quality at different times of the day.C. The manager selects 20 boards at random each day for 5 days and examines them. Unbiased: This method reduces bias by randomly sampling boards each day.D. The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied. Bias: This method is extremely biased as it relies on customer responses, which can be non-representative and influenced by response rate.

In summary, method B and method D are likely to introduce bias in sampling. Methods A and C are designed to minimize bias and provide a more accurate representation of defective boards.

GREETINGS FELLOW EARTHLINGS I AWAIT YOUR ASSISTANCE ON THIS QUESTION

Answers

4 feet is equal to 48 inches. 
48 is 2 times 24. 
So, the ratio of the long side to the short side would be 
B, 2:1. Hope this helps!

What is the value of n? Enter your answer in the box. n = cm Circle with two intersecting chords forming an x shape in the circle. The top left side of the x shape is labeled 7 centimeters. The top right side of the x shape is labeled 4 centimeters. The bottom left side of the x is labeled n. The bottom right side of the x is labeled 8 centimeters.

Answers

Answer: The length of the bottom left side is 14.

To find the length of this side, we need to know the relationship between the different sections when chords cross each other.

The relationship is that if you multiply the 2 parts of each chord together, it will equal the product of the two sides in the other chord.

Our equation can be written as:

7(8) = 4(x)
56 = 4x
14 = x

The value of n for the given circle with chords is; n = 14

How to find the length of a chord?

To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.

Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;

7(8) = 4(n)

56 = 4n

14 = n

Read more about Length of Chord at; https://brainly.com/question/13950364

Determine if the properties define a Ray or a line segment

Answers

a Ray has one endpoint and continues forever in One Direction.

a line segment has 2 endpoints and a defined measure
Final answer:

A ray in geometric optics represents the path of light as a straight line originating from a point, while a line segment is a part of a line with two endpoints and a measurable length. The properties mentioned can be used to determine if they define a ray or a line segment.

Explanation:

A ray in geometric optics is a straight line that originates at some point. In the context of light, a ray represents the path of light as it travels. When light encounters objects or changes media, it may change direction but it continues to travel in a straight line or as a ray. We can think of a ray of light as a straight line or a laser ray.

A line segment, on the other hand, is a part of a line with two endpoints. It has a definite length and can be measured. In the context of light, a line segment would indicate a finite path of light.

Given the properties mentioned, we can determine if they define a ray or a line segment. If the properties describe a straight line with no defined endpoints, it is a ray. If the properties suggest a line with two endpoints and a measurable length, it is a line segment.

Learn more about Geometric Optics here:

https://brainly.com/question/31480640

#SPJ2

A surveyor standing 63 meters from the base of a building measures the angle to the top of the building and finds it to be 38°. the surveyor then measures the angle to the top of the radio tower on the building and finds that it is 48°. how tall is the radio tower?

Answers

The height of the radio tower is 20.77 meters.

If you draw a picture of the problem, you will see that you have to solve two right triangle problems with the tangent ratio.

If we subtract the measurements of the two triangles, we will have only the length of the radio tower.

tan(48) = x / 63
x = 69.97

tan(38) = x / 63
x = 49.22

69.97 - 49.22 = 20.77 for the height of the radio tower

Mia wants to find the surface area of this prism. which unit of measurement should mia use?
a. in.
b. in squared
c. in cubed

Answers

When you are finding a measurement of area, you will use square units - Choice B.

The reason is because the measurement of area is how much space a flat surface covers. You create little squares of the units to measure this space. Area is a two dimensional measurement.

The difference between three times a number and 7 is 14

Answers

3x-7=14

Hoped this helped!
3x-7=14
3x=21
———-
3. 3

X=7

Have to be positive on answer i cant fail this test i just need 2 answers...will give you a metal

1. (–10x3 + 30x – 20) ÷ (–5x + 5) (1 point)2x2 – 2x + 4
–2x2 – 2x – 4
–2x2 + 2x + 4
2x2 + 2x – 4
2. The width w of a rectangular swimming pool is x + 4. The area A of the pool is 2x3 – 29x + 12. What is an expression for the length of the pool? (1 point)2x2 + 8x +3
2x2 – 8x – 3
2x2 – 8x + 3
2x2 + 8x – 3

Answers

                      2x²  +2x  -4
         _______________
-5x+5I -10x³ +0x² +30x -20
           -10x³ +10x²
          ----------------
                    -10x³+30x
                    -10x² +10x
                  -----------------
                              20x-20
                              20x-20
                             ------------
                                        0
The answer for question #1 is  D,   2x²  +2x  -4

Use the same method to find answer for #2. The answer I got is 2x²-8x+3, C

Naomi needs 2 cups of chopped apples for a fruit salad she is making. she only has a one-fourth cup measuring cup. how many times will naomi need to fill the measuring cup to get 2 cups of apples

Answers

Naomi will need to do this 8 times to get 2 cups of apples
1/4*8=2
She will need to fill it 8 times because 1/4 * 8 = 2. 

HELP ME PLEASE MY LAST DAY TO TURN THIS IN! MARKING BRAINLIEST
Solving Systems of Equations by Elimination

3) 7x + 3y= 22 4y= 20

4) -2x + y= 10 4x - y= -14

Answers

Answer:

3) [tex]x=1\\ y=5[/tex]

4) [tex]x=-2\\ y=6[/tex]

Step-by-step explanation:

3) For this system of equation you already has one variable in the second equation. Therefore, you only need to solve for [tex]y[/tex] in the second one and substitute its value into the first equation to calculate [tex]x[/tex]:

[tex]\left \{ {{7x + 3y= 22} \atop {4y=20}} \right. \\[/tex]

[tex]y=\frac{20}{4} \\ y=5[/tex]

[tex]7x + 3(5)= 22\\ 7x=7\\x=1[/tex]

4) You must add both equations to cancel the variable [tex]y[/tex] and solve for [tex]x[/tex]. Then, susbstiute the value of this variable into one of the original equations to calculate [tex]y[/tex]:

[tex]\left \{ {{-2x+y=10} \atop {4x-y=-14}} \right.[/tex]

[tex]2x=-4\\ x=-2[/tex]

[tex]-2(-2)+y=10\\ y=6[/tex]


helppppppppppppppppp

Answers

It would be a cosine function because it does not start at the origin and has the amplitude of 6 so it would be the first option.
Remember that for this case what you should do is evaluate the function in two known points and verify that it matches the graph.
 y = 3cos (x) +3.
 For x = 0 we have:
 y = 3cos (0) +3.
 y = 3 + 3
 y = 6
 For x = pi we have:
 y = 3cos (pi) +3.
 y = -3 + 3
 y = 0
 Answer: 
 y = 3cos (x) +3. 
 option 2

Write an equation of a line that goes through the point (2,2) and has a y-intercept of 6

Answers

so the line goes through 2,2, and the y-intercept, well, a y-intercept is when the graph touches or "intercepts" the y-axis, and when that happens, x = 0, so the point is x = 0, y = 6, or 0,6, therefore

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &&(~ 2 &,& 2~) &&(~ 0 &,& 6~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{0-2}\implies \cfrac{4}{-2}\implies -2 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-2(x-2) \\\\\\ y-2=-2x+4\implies y=-2x+6[/tex]

Write each of the following expressions without using the absolute value sign. |x−4| if x>4. PLEASE INCLUDE EXPLANATION!!!

Answers

The answer is 3.141529

I'm right.

A jar lid has a diameter of 42 millimeters. What is the circumference of the lid? Use 22/7 for π.

A. 924 mm
B. 114 mm
C. 66 mm
D. 132 mm

Answers

The formula for the circumference is pi times the diameter.

The circumference is 42 x 3.14.

42 x 3.14 = 131.88mm

The answer would be D.

Hope this helps!

- Juju

Final answer:

The circumference of the lid is approximately 132 millimeters, Thus, option D is correct.

Explanation:

To find the circumference [tex](\( C \))[/tex] of the lid, we use the formula for the circumference of a circle:

[tex]\[ C = \pi \times d \][/tex]

Where [tex]\( d \)[/tex] is the diameter of the circle.

Given that the diameter (\( d \)) of the lid is 42 millimeters and using the value of [tex]\( \pi \)[/tex] as [tex]\( \frac{22}{7} \)[/tex], we can calculate the circumference as follows:

[tex]\[ C = \frac{22}{7} \times 42 \][/tex]

[tex]\[ C = \frac{22 \times 42}{7} \][/tex]

[tex]\[ C = \frac{924}{7} \][/tex]

[tex]\[ C \approx 132 \, \text{mm} \][/tex]

Therefore, the circumference of the lid is approximately 132 millimeters, which corresponds to option D.

What is the value of x?

1/3 (Square root of 2) units
1/2 (Square root of 3) units
2 (Square root of 3) units
3 (Square root of 2) units

Answers

the top angle = 45 degrees
 x = 3 (Square root of 2) units

Answer:

[tex]3[/tex] (Square root of [tex]2[/tex]) units

Step-by-step explanation:

we know that

The larger triangle is an isosceles right triangle

so

Applying the Pythagoras Theorem

[tex]6^{2} =x^{2} +x^{2} \\ 36=2x^{2} \\18=x^{2}\\x=\sqrt{18}\ units \\x=3\sqrt{2}\ units[/tex]

Quadrilateral RSTU is a rectangle with diagonal RT. If 8x + 4 and = 3x – 2, find x

Answers

I am a little confused with ur question. If you are asking me to solve for x in this equation... 8x + 4= 3x - 2, then x is -6/5

Answer:

did u ever find the asnwer? cuz I need it rn

Step-by-step explanation:


For f(x)=2x+1 and g(x)=x+14 , find (g o f) (x).

Answers

Answer:

(g o f) (x) = 2x + 16

Step-by-step explanation:

" (g o f) (x) )" is called "the composition of f and g."

Evaluating this involves substituting the function f(x) = 2x + 1 for x in g(x) = x+14:

(g o f) (x) = 2(x+1) + 14, or

(g o f) (x) = 2x + 2 + 14, or

(g o f) (x) = 2x + 16

Answer:

2x+29

Step-by-step explanation:

a p e x

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