The sum of two numbers is 42. The larger number is 2 more than 4 times the smaller number. What is the smaller number?

Answers

Answer 1

Answer:

the lesser number is 3

Step-by-step explanation:

42÷2=21

3×7=21

yhe question states the lesser number is 2 mote than 4 times


Related Questions

Find all solution(s) of the quadratic equation x2 – 100 = 0.

Answers

Answer:

10 and -10

Step-by-step explanation:

difference of two squares:

x² - 100 = 0

(x + 10)(x - 10) = 0

x + 10 = 0;  x = -10

x - 10 = 0;  x = 10

there are 12 dozen pencils in a gross. how many pencils are in 15 gross

Answers

Answer:

A gross refers to a group of 144 items (a dozen or a square dozen, 122). A great gross refers to a group of 1728 items (a dozen gross or a cubic dozen, 123). A small gross or a great hundred refers to a group of 120 items (ten dozen, 10×12).

Problem 4: Price-fixing Litigation(5 points) Background: Multiple regression is sometimes used in litigation. In the case of Cargill,Inc. v. Hardin, the prosecution charged that the cash price of wheat was manipulated in violation of the Commodity Exchange Act. In a statistical study conducted for this case, a multiple regression model was developed to predict the price of wheat using three supply- and demand explanatory variables. Data for 14 years were used to construct the regression equation, and a prediction for the suspect period was computed from this equation. The value of R2 was 0.989. Problem: Cargill, Inc. had priced the wheat at $2.13. Their legal team needed to demonstrate that the price was not artificially depressed. For purposes of this project, suppose the sample size was 100. Requirements: 1.(2.5 points) For the relevant case, the fitted model gave the predicted value $2.136 with standard error $0.013. Based on this, determine the 95% prediction interval for the price of wheat. 2.(2.5 points)

Answers

Answer:

[tex]Critical\ value=1.66039[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=100[/tex]

Mean price of wheat [tex]\=x=2.136[/tex]

Standard error [tex]S_e=$0.013[/tex]

95% prediction interval

Generally the equation for 95% confidence is mathematically given by

[tex]\alpha=1-95\%[/tex]

[tex]\alpha=1-0.95[/tex]

[tex]\alpha=0.05[/tex]

Generally the degree of freedom [tex]d_f[/tex]  is mathematically given by

[tex]d_f=n-1[/tex]

[tex]d_f=100-1[/tex]

[tex]d_f=99[/tex]

Generally the critical [tex]t_{\alpha,df}[/tex] value is mathematically given by

[tex]t_{(0.05,99)}[/tex]

[tex]t_{(0.05,99)}=1.66039[/tex]

Therefore the critical associated with 95% predication interval is [tex]Critical\ value=1.66039[/tex]

In ΔABC, a = 1.9 inches, b = 7.1 inches and c=7.4 inches. Find the measure of ∠B to the nearest degree.

Answers

Answer:

74°

Step-by-step explanation:

Given  ΔABC with:

a = 1.9 in, b = 7.1 in, c=7.4 in

To find

∠B

Solution

Use the law of cosines

cos B = (a² + c² - b²)/(2ac)cos B = (1.9² + 7.4² - 7.1²)/(2*1.9*7.4)cos B = 0.283m∠B = accos (0.283)m∠B = 74° (rounded)

x=4 inches
y=10 inches
z=2 inches
Find the volume of the figure. Round to the hundredths place.

Answers

Answer:

i believe the answer is 142.42 in²

Step-by-step explanation:

what i did was 'separate' the cone and cylinder-

so the volume of cylinder formula is-

v=πr²h

and the volume for a cone is-

v=πr²h/3

now let us fill in the formulas with the information that we have-

v=π*2²*10=125.66

v=π*2²*4=16.76

now let us add the sums together-

125.66+16.76=142.42 in²

good luck :)

i hope this helps

**please let me know if this is incorrect/not what you're looking for or both**

have a nice day!

please help asap! my geometry homework doesnt make sense

Answers

Answer:

50.4 in^2

66.4 in^2

Step-by-step explanation:

(L)= 6.3in

Area of base= (4)^2 =16 in^2

perimeter= 4×4 =16 in

L.A=1/2 ×p ×l

= 1/2×16×6.3=50.4 in^2

S.A=Base area + L.A

= 16+50.4=66.4 in^2

hope it helps...

have a great day!!

Jeff translates triangle FGH 2 units left and 4 units up.

What are the new coordinates of point F after the translation?

O A (-2,4)
O B. (0,4)
O C. (2,6)
OD. (6,6)
(look at photo)
PLZ HELP FAST ILL GIVE POINTS AND BRAINLYEST

Answers

Answer:

C. (2,6)

Step-by-step explanation:

Translate 2 units left and 4 units up: (x,y) -> (x-2 , y+4)

F (4,2) -> (4-2 , 2+4) -> (2 , 6)

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

11/20

Step-by-step explanation:

plz can i get brainliest:)

Rachel cut a whole banana into 6 pieces and then ate all the pieces. She put a point on a number line to show how much she ate.
0
Which fraction is equal to the point shown on the number line?

Answers

Answer:

I can't see the number line but I assume the fraction would be 6/6

Given f(x) = ex and g(x) = x -2, what is the range of (gºf)(x)? ​

Answers

Answer:

y>-2

Step-by-step explanation:

Answer on E2020

Answer:

The correct answer is D)  y>-2

Step-by-step explanation:

Edge 2021.

Find the value of m. ​

Answers

Answer:

8

Step-by-step explanation:

12-10=2

10-m=2

m=8

8.24 hope this helps you :)

The Barber family wants to go a distance of 440 miles in one day. They drive at an average rate of 55 miles per hour. How long will the trip take?

Answers

Answer: 8 hours

Step-by-step explanation: 440 divided by 55=8

Please help I will give brainily and more, NEEDING SMART PEOPLE

On the coordinate plane shown below, points
G and I
have coordinates (6 ,4) and (3 ,2), respectively.


1.) Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I on a coordinate plane. Use complete sentences to describe the strategy.

2.) Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.

3.) Use the distance formula and the coordinates of points G and I
to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.

Answers

Answer:Given : points G and I have coordinates (6,4) and (3,2)

To Find : Use  Pythagorean theorem  to calculate the straight line distance between points G and I

Solution:

points G and I have coordinates (6,4) and (3,2)

Draw a line parallel to y axis passing through G

Draw a line parallel to x axis passing through I

Intersection point K ( 6 , 2)

IK = 6 - 3 = 3

GK = 4 -2  = 2

ΔIKG right angled triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

GI² = IK² + GK²

=>  GI²  = 3² + 2²

=>  GI²  = 13

=> GI = √13

using distance formula

G (6,4) and I (3,2)

= √(6 - 3)² + (4 - 2)²

= √3² + 2²

= √9 + 4

= √13

Learn More:

different approaches of Pythagoras theorem​ - Brainly.in

brainly.in/question/10516214

13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...

brainly.in/question/19749562

In a survey at a shoe store, 200 customers were asked whether they have
running shoes or basketball shoes. The results are in the relative frequency
table.
Total
Have running shoes
0.18
No running shoes
0.28
Have basketball shoes
No basketball shoes
0.22
0.32
Total
What percentage of the people surveyed have basketball shoes?
A. 40%
B. 46%
C. 60%
D. 54%

Answers

Answer:

it is b 46% I just took test.

The percentage of people wearing basket ball shoe is,

= 32%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

In a shoe store survey there are 200 customers.

Given in the table is that, people using basketball shoes, not using basket shoes and then there is also classification of people using running or non running shoes.

We have been asked what percentage of people have basketball shoes.

People having basket ball shoes = 0.18 × 200 + 0.28 ×200

                                                   = 64

Thus, The percentage of people wearing basket ball shoe is,

= 64/200 x 100

= 32 %

Hence, The percentage of people wearing basket ball shoe is,

= 32%

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Bob wants to invest his $3000 in an account that gets 3.4% interest rate compounded monthly, how much money will he have after 12 years? (round to nearest whole number)

Answers

Answer:

After 12 years Bob will have $ 4,508.80 in his account.

Step-by-step explanation:

Given that Bob wants to invest his $ 3000 in an account that gets 3.4% interest rate compounded monthly, to determine how much money will he have after 12 years the following calculation must be performed:

3000 x (1 + 0.034 / 12) ^ 12x12 = X

3000 x (1 + 0.0028333) ^ 144 = X

3000 x 1.0028333 ^ 144 = X

3000 x 1.502932 = X

4,508.80 = X

Therefore, after 12 years Bob will have $ 4,508.80 in his account.

Help fast please please help ASAP ASAP please please

Answers

9514 1404 393

Answer:

  LA = 20π square units

  SA = 36π square units

  V = 16π cubic units

Step-by-step explanation:

The value of the radius is needed before any area calculations can be done. It can be found from the Pythagorean theorem:

  r² + 3² = 5²

  r = √(25 -9) = 4

__

The lateral area is given by the formula ...

  LA = πrs . . . . . where r is the radius and s is the slant height

  LA = π(4)(5)

  LA = 20π square units

__

The surface area is the sum of the lateral area and the base area. The latter is the area of a circle of radius 4.

  SA = πr² + LA

  SA = π(4²) +20π = 16π +20π

  SA = 36π square units

__

The volume is given by the formula ...

  V = 1/3πr²h

  V = 1/3π(4²)(3) = 16π

The volume is 16π cubic units.


PLEASE HELP ME ON THIS QUESTION

Answers

Answer:

i think its D

Step-by-step explanation:

i multiplied 12x16 and 192 then I multiplied 192x3 which gave me 576

What is the volume? Please help!!!!!!!!!!!!!

Answers

Answer:

volume = 440 cm³

Step-by-step explanation:

volume = (1/2)(8)(10)(11) = 440 cm³

Find the value of x.

(I know it’s blurry sorry, here are the numbers)

3x-9
2x+2
27

Please help!

Answers

Answer:

= -89x + 227 =

Step-by-step explanation:

The value of x in the circle is 1.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

if a tangent and a chord are drawn from a point outside a circle, and the point of intersection of the tangent and the circle is labeled as point P, then the length of the tangent squared is equal to the product of the lengths of the two segments of the chord:

Now,

From the figure,

(2x - 9)² = 27 (2x + 2)

We can start by simplifying the left-hand side of the equation:

(2x - 9)² = 27 (2x + 2)

4x² - 36x + 81 = 54x + 54

Now we can move all the terms to one side and simplify:

4x² - 90x + 27 = 0

Next, we can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / 2a

where a = 4, b = -90, and c = 27.

Plugging in the values:

x = (-(-90) ± √((-90)² - 4(4)(27))) / 2(4)

x = (90 ± √(8100 - 432)) / 8

x = (90 ± √(7668)) / 8

x = (90 ± √(447)) / 8

x ≈ 11.16 or x ≈ 1.09

Rounding to a whole number.

x = 1

Therefore,

The value of x in the circle is 1.

Learn more about Circle here:

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BEUH PLEASE ANWSERRDDD THIS

Answers

Answer:

Circumference

Step-by-step explanation:

Answer:

circumference

Step-by-step explanation:

Please help i would really appreciate it.

Answers

(1,4) this is because the flip over y axis does not touch the y value but gives the opposite of the x value
The third one maybe? Don’t blame me if it’s wrong

if a×b=2a=b, evaluate 4×3 do not answer with a link,photo,file.​

Answers

If you are comparing a*b=4*3, a = 4 and b = 3.

This would mean that 2a = 8.

If a×b=2a=b, evaluate 4×3 , Based on the given equation, the result of 4 × 3 is 12.

To evaluate 4 × 3 using the given information, we substitute the values of a and b into the equation.

An equation is a mathematical statement that shows the equality of two expressions or quantities. It consists of an equal sign (=) placed between the two sides of the equation. The expressions on each side of the equal sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation.

Equations are used to represent relationships and solve for unknown values. They can involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal is to find the value or values of the variable(s) that make the equation true.

Given: a × b = 2a = b

Let's assign a = 4 and b = 3:

4 × 3 = 2(4) = 3

Simplifying the equation:

12 = 8 = 3

Therefore, based on the given equation, the result of 4 × 3 is 12.

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Full question

If a×b=2a=b, evaluate 4×3 do not answer with a link,photo,file.​

( No graph Needed)

Find all solutions to 4x^2 + 2x -2 = 1?

Answers

Answer:

=−1±1 3√4

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Move the constant to the left, 4x^2+2x-2-1=0

Calculate the difference, 4x^2+2x-3=0

then solve using quadratic equation (must too difficult to type out)

T/F: The Shapes are Similar

Answers

Answer:

Step-by-step explanation:

no the angles arent equal

Brainliest for correct answer asap

Answers

Answer:

A Positive Association

Answer:

The scatter plot has no association.

Step-by-step explanation:

As you can see, the provided scatter plot maintains ordered pairs that are neither positive nor negative; the line of best fit would be hard to determine by looking at this graph. Hope this helps; have a great day!

A point P moves such that it is three units from the point (3, 4). Obtain the
equation of the locus of P.

Answers

The right answer is y=-3

Answer:

Equation of a line at a distance of 2 units from xaxis is k = 2  So the locus is y = 2

The perimeter of an equilateral triangle is 13.5 feet. What is the length of each side?

3.4 ft
40.5 ft
4.5 ft
4 ft

Answers

Answer:

Hola, mi nombre es luis fernando garrapatoso por favor no burlarlse de mi apellido ,la respuesta es 3.4. 637 ft

Step-by-step explanation:

Asi es como se hace soy luis fernando garrapatoso :)

Is 0.6 greater than 0.85?? ( 4th grade work)

Answers

Answer:

No its not

Step-by-step explanation:

Answer:

No, 0.85 is greater.

Step-by-step explanation:

Imagine a number line, with one at the end and 0.1 at the other end. With .85, It would be closer to one, with 0.6 being behind 0.85. The only other reason that 0.6 is greater than 0.85 is if they are converted to fractions.

48
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and to indicate an exponent.
The formula for the volume of a cylinder is V=112h. The volume of a cylinder is three times the volume of a cone with the same radius and
height.
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the
radius of cylinder ris

Answers

Answer:

Vco = 1/3×πr2h

Vcy = Vco --> πr^2×h = 1/3πR^2×h

h's cancel, as well as π's

r^2 = 1/3R^2 --> R^2 = 3r^2 -->

SR (R^2) = SR (3r^2)

R = SR(3)×r

Step-by-step explanation:

A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200 Americans and finds that 51 of them use only cell phones for making phone calls.Set up the hypotheses in order to determine whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%.

Answers

Answer:

We accept H₀ sample does not give evidence to support that the proportion of Americans who solely use cell phone differs from 23 %

Step-by-step explanation:

A pew research finds  that  23 %  ( μ ) of Americans use only cell phone

Sample Information

sample size   n  = 200

x₁  =  51     then   p₁  = 51/200   p₁  =  0,255

and  q₁  =  1  - p ₁    q₁  =  1  - 0,255    q₁  =  0,745

Sample big enough for the approximation of the binomial distribution to the normal distribution

p₁*n  = 0,255 * 200 = 51  > 5   and   q₁*n    = 0,745* 200 =  149 > 5

Test hypothesis

Null hypothesis                       H₀              p₁  = μ = 0,23

Alternative hypothesis           Hₐ              p₁  ≠  0,23

Is a two tail test. We choose CI = 95 %  then significance level is                    α = 0,05 %

α = 0,05 as is a two tail test   α/2  = 0,025

from z-table  z(c) = 1,96

To calculate  z(s) = ( x  -  μ ) /√p₁*q₁/n  

  z(s) = ( 0,255 - 0,23 )/√0,255*0,745/200

z(s)  =  0,025 / 0,0308

z(s)  = 0,81

Comparing z(s)   and  z(c)

z(s) < z(c)      0,81 < 1,96

Then  z(s) is in the acceptance region: we accept H₀

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