Mathematics College

the sum of two numbers is 8. one of the numbers is six less than the other Find the numbers ________

Answers

Answer 1

The information given:

a+b=8 (the sum of two numbers is 8)

b=a-6 (one number is 6 less than the other)

Since we have two equations and two variables, we can substitue one equation on the other:

a+(a-6)=8

a+a-6=8

2a-6=8

2a=8+6

a=14/2

a=7

Since we have a, now we substitute a in the equation:

7+b=8

b=8-7

b=1

Related Questions

1 7 0 suburbs is what percent of 1 7 8 0 suburbs?

Answers

Answer:

Percent = 9.6%

Step-by-step explanation:

Given the following data;

Number of suburbs = 170

Total number of suburbs = 1780

To find the percentage;

Percent = 170/1780 * 100

Percent = 17000/1780

Percent = 9.55 ≈ 9.6%

Therefore, 170 suburbs is 9.6 percent of 1780.

0.92403 to the nearest ten-thousandth

Answers

Answer:

bff

Step-by-step explanation:

bfbfb

Answer:

0.9240

Step-by-step explanation:

Match the metric units on the left with their
approximate equivalents on the right. Not all the
options on the right will be used.
1 meter
kilogram
1 liter
1 cup
I mile
2
pounds
1 quart
I yard

Answers

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

name each anchor in four ways

Answers

Answer:

< E

< 1

< DEF

< FED

Step-by-step explanation:

When you use three letters, E has to be in the middle.

Simplify 7+5c+4d-8c+d

Answers

Step-by-step explanation:

if there is no typo the expression is :

7 + 5c + 4d - 8c + d

to simplify combine all terms with the same variable and exponent of that variable.

so, this is

7 + (5c - 8c) + (4d + d) = 7 - 3c + 5d

Answer:

-3c+5d+7

Step-by-step explanation:

Suppose the time to process a loan application follows a uniform distribution over the range 77 to 1515 days. What is the probability that a randomly selected loan application takes longer than 1414 days to process

Answers

Answer:

The probability is approximately 0.2222

Step-by-step explanation:

The correct question is as follows;

Suppose the time to process a loan application follows a uniform distribution over the range 7 to 15 days. What is the probability that a randomly selected loan application takes longer than 14 days to process

Please check attachment for solution to question

Suppose the time to process a loan application follows a uniform distribution over the range 77 to 1515

What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20

Answers

Answer:

Step-by-step explanation:

What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20

What percent of 2 is 32? If necessary, round your answer to the nearest tenth.

Answers

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Step 1: 3-
9
+ 8
62
Step 2: 3-
9
36
Step 3:
3-
9
+8
Step 4: 3-4+8
Step 5: 7
In which step did she make an error?
O step 1
O step 2
O step 4
O step 5

Answers

there's only one beer left rappers screaming all in our ears like we're deaf its on me putit on my tab kid however you get there for the tablet iron force it you leave it on your face forfeit faucet like the heat he might toss it

The equation of line m is
5x - 3y = 2.
What is the slope of a line that is perpendicular to line m?
Enter your answer in the box as a fraction in simplest form.

Answers

The equation is currently in standard form, which makes it a little challenging to find the slope. However, we can rearrange the equation into slope-intercept form to get the slope.

1.) Rearrange the equation from Ax+By=C form to y=mx+b form:

5x-3y=2

Subtract 5x from both sides:

-3y=-5x+2

Isolate y by divided by -3 on both sides:

y=(-5/-3)x-2/3

A negative number divided by a negative number is a positive quotient:

y=5/3x-2/3

Now that we have the slope of the equation, we can find the slope of a line perpendicular to it:

Perpendicular slope of any line: m——> -1/m, where m is the slope.

Essentially, we take the negative reciprocal of the initial line’s slope.

So, the slope is 5/3 and we will take it’s negative reciprocal:

5/3——>-3/5

Therefore, your answer is -3/5

Which number is a rational number?
36
16
6
6
36
6
16

Answers

Answer:

√36/√16 is a rational number as it can be written as 6/4=3/2 which is rational

Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives.

Answers

Answer:

third choice the independent variable is the amount of water given, dependent is the height of the plant

TWO ANGLES OF A TRINGLE measures 12 degrees and 40 degress

Answers

Answer:

Ok, so what is the qns?

Step-by-step explanation:

3(4x-2)=12x
A. The equation has one solution
B. The equation has no solution
C. The equation has a few solution
D. The equation has many solution

Answers

The answer is B.) the equation has no solution… I’m sorry but I don’t really now how to explain it but I just know it’s the answer...
Sorry and I hope this was helpful

5.6.8 let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e). show that this need not be true if f is continuous but not uniformly continuous.
Proof. (1): To prove {f(xn)} is a Cauchy sequence just need to prove ∀ > 0, ∃N, s.t.,∀n, m > N,
have |f(xn) − f(xm)| < . Since f is uniformly continuous on set E, thus ∀ > 0, ∃δ > 0, s.t.,
∀x, y ∈ E, if |x − y| < δ,then |f(x) − f(y)| < .as {xn} is a Cauchy sequence, then ∃N, s.t.,
∀n, m > N, |xn − xm| < δ, thus |f(xn) − f(xm)| < which proves {f(xn)} is a Cauchy sequence.
(2): for example f(x) = 1
x
, x ∈ (0, 2) which is continuous but not uniformly continuous. {
1
n
} is
a Cauchy sequence, however, {f(xn)} does not converge which proves that it is not a Cauchy
sequence.

Answers

Showing that this need not be true if f is continuous but not uniformly continuous.

Given :

let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).

( 1 )

If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,

then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,

then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.

( 2 )

Let E = {1, 1/2, 1/3, · · } and f(1/n) = 1 is n is odd, f(1/n) = −1 if

n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the

sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.

Learn more about the sequence here:

https://brainly.com/question/21961097

#SPJ4

The triangles shown are similar. Which side of triangle JGH corresponds to side PM of triangle PMO?

Triangle G H J. Side G H is 9 centimeters, H J is 12 centimeters, J G is 6 centimeters. Triangle P M O. Side P M is 3 centimeters, M O is 4.5 centimeters, O P is 6 centimeters.

GH
JG
HJ
OP

Answers

Answer:

The corresponding side is JG

Step-by-step explanation:

Given

JGH similar to PMO

Required

Determine the similar side to PM

To do this, we follow the naming convention of both triangle name, since there is no attachment to support the given parameters.

So:

By comparison: The corresponding side is JG

Answer:

B aka JG

Step-by-step explanation:

right on edge

1) Give the standard error for the difference. ( round your answer to one decimal place)
standard error = __________
2) Give a 95% confidence interval. (Round your answers to two decimal places.)
The 95% confidence interval is _________ to ___________

Answers

The study found that drinking tea led to an increase in the production of interferon gamma when compared to drinking coffee. The standard error for the difference was 3.46 and the 95% confidence interval for the effect size was 2.23 to 15.77.

What is standard error?

Standard errors are the estimated standard deviations of a statistic, such as the mean or correlation coefficient. They are used to measure the precision of a statistic and to quantify the random error that is not taken into account by the statistic. Standard errors are important when interpreting the results of a statistical analysis because they indicate the degree to which the results may vary due to chance.

The standard error for the difference can be calculated using the formula for the standard error of the difference in two means. This formula is:

SE = √((SD1²/n1) + (SD2²/n2))

In this case, SD1 and SD2 refer to the standard deviations of the two samples (tea and coffee) and n1 and n2 are the number of observations in each sample.

Plugging in the values from the data, we get:

SE = √((13²/11) + (21²/10)) = 3.46

The 95% confidence interval can be calculated using the formula:

CI = (m1 - m2) ± 1.96*SE

Where m1 and m2 are the means of the two samples and SE is the standard error of the difference in two means. Plugging in the values from the data, we get:

CI = (47 - 38) ± 1.96*3.46 = 9.00 ± 6.77

Therefore, the 95% confidence interval is 2.23 to 15.77.

In conclusion, the study found that drinking tea led to an increase in the production of interferon gamma when compared to drinking coffee. The standard error for the difference was 3.46 and the 95% confidence interval for the effect size was 2.23 to 15.77.

To know more about standard errors click-
https://brainly.com/question/14467769
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WILL MARK BRAINLIEST IF CORRECT!!! PLEASEE SOMEONE I HAVE 5 MINS

Answers

0.69, 7/10, 71%, 0.84, 9/10

After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?

Points given: 20

Answers

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)

Answers

$y = -\frac{1}{9}(x - 1)^2 - 6$

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

$y = a(x - h)^2 + k$

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

$y = a(x - 1)^2 - 6$

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

$-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6$

$a = -\frac{1}{9}$

Therefore, the equation of the parabola is

$y = -\frac{1}{9}(x - 1)^2 - 6$

Identify the domain and range of the function graphed below.

Answers

Range is all real numbers

An earthquake measured 8.4 on the Richter Scale. Use the formula R = log I to find the intensity, I, of the earthquake. NO LINKS!!

Answers

Answer:

I ≈ 251188643

Step-by-step explanation:

Given

R = logI [ note log I = $log_{10}$ I ]

Using the rule of logarithms

$log_{10}$ x = n ⇒ x = $10^{n}$

Substitute R = 8.4 into the equation, then

logI = 8.4

I = $10^{8.4}$ ≈ 251188643

Pls give the answer given below!ASAP

Answers

Answer:

Option 3

Step-by-step explanation:

Rewriting input as fractions if necessary:

3/8, 3/20

For the denominators (8, 20) the least common multiple (LCM) is 40.

LCM(8, 20)

Therefore, the least common denominator (LCD) is 40.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

3/8 = 3/8 × 5/5 = 15/40

3/20 = 3/20 × 2/2 = 6/40

Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth

Answers

If Boris has finished 43% of his run on the treadmill, it means that 43% of 99 minutes have gone by. To calculate this, we can multiply 99 by 0.43 to find the number of minutes:

99 minutes * 0.43 = 42.57 minutes

Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.

how can I calculate the probability?

Answers

Answer:

prob=no of Desired data out of total data

Step-by-step explanation:

let's assume of a coin total data is 2 since it has two sides.so if you want the coat the prob is 1/2

I NEED HELP URGENTLY PLEASE

WORTH 100 POINTS!!!

Answers

<XYZ =90°(ANGLE ON THE SEMI-CIRCLE)

MEANING

NOW WE HAVE 1 UNKNOWN <XZY

<XYZ+<YXZ+<XZY=180°(SUM OF ANGLES OF A TRIANGLE)

90°+88°+<XZY=180°

<XZY=180°-90°-28°

<XZY=62°

BE ALERT I USED THE WRONG ANGLE OF <YXZ BECAUSE IT WAS UNCLEAR IN THE PICTURE BUT WITH WHAT I WROTE YOU WILL BE ABLE TO PLUG IN CORRECT VALUE OF THE ANGLE!!AND FIND THE CORRECT ANSWER.

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.5 ounces and standard deviation of 0.5 ounces. Examine the figure below and answer the following questions.

a.) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.)

b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.)

c.) The machine has just been loaded with 300 cups. How many of these do you expect will overflow when served?

Answers

The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..

How to solve

A vending machine automatically pours soft drinks into cups.

The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.

Examine figure 7.- and answer the following questions.

a) estimate the probability that the machine will overflow an 8oz cup.

Procedure:

Determine the z-score for 8

z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1

P(x>8) = P(z>1) = 0.1587..

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

b) Estimate the probability that the machine will not overflow an 8oz cup.

P(z<1) = 1 - 0.1587 = 0.8413..

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

c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..; Rounded down you get 134 cups

Answers

Answer:

Step-by-step explanation:

3 oua

Daca as avea 4 oua - e presupunere. Nu am.

Un hot imi da 3

Cocosul nu face oua

0+3+0=3

Calculate the density of a 500g rectangular block with the the following dimensions

Answers

length=8 cm, width=6 cm, height=5 cm. (answer = 2.1 g/cm3)

The density of the block is of:

$d = \frac{500}{lwh}$

In which l, w and h are the dimensions of the rectangular block, in centimetres.

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

Density is mass divided by volume, thus:

$d = \frac{m}{v}$

It's standard unit is g/cm³.The volume of a rectangular prism of length l, width w and height h is given by:

$v = lwh$

Mass of 500g, thus $m = 500$The density will be of:

$d = \frac{m}{v}$

$d = \frac{500}{lwh}$

A similar problem is given at https://brainly.com/question/16909559

help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,

Answers

Answer:

Step-by-step explanation:

if not correct I'm very very sorry I tried my best for this</3

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