The sum of two integers is 627, and the larger number is 27 more than 7 times the smaller number. Find the two integers.

Answer:

√3 is greater than 1/3:

√3 = about 1.7

1/3 = about .3

The square root of 3 is greater than 1/3.

To determine which of the two real numbers is greater, we can compare their values directly. The square root of 3 is a well-known irrational number, and its approximate value is 1.732. On the other hand, 1/3 is a rational number with a value of approximately 0.333.

Let's compare the two:

- The square root of 3: [tex]\sqrt(3)[/tex]  = 1.732

- One third: 1/3 = 0.333

It is clear that 1.732 (the approximate value of √3) is greater than 0.333 (the approximate value of 1/3). Therefore, the square root of 3 is greater than 1/3.

The coefficient of determination for this data set​ would be 0.91

A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables. In other words, it reflects how similar the measurements of two or more variables are across a dataset.

The correlation coefficient for this data set will be positive, since the dependent variable increases as the independent variable decreases.

Since the data appears to be fairly linear, the correlation coefficient will be close to 1 which means 0.91 is our best choice.

Hence, The coefficient of determination for this data set​ would be 0.91

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Answer:

There is not much that can be done to figure out how to write 0.1875 as a fraction, except to literally use what the decimal portion of your number, the .1875 , means. Since there are 5 digits in 1875 , the very last digit is the "100000th" decimal place. So we can just say that .1875 is the same as 1875/100000.

Step-by-step explanation:

Answer:

fraction decimal

3/16   0.1875

hope this helps :3 & sorry if its wrong

Good morning ☕️

______

Answer:

She is 20 years old

____________________

Step-by-step explanation:

Let x be the age of the daughter.

Let y be the age of the mother.

then , we have to solve the system:

y=2x (1)

y+20=1.5(x+20) (2)

If we substitute y by 2x in the second equation we get :

(2) 2x+20=1.5(x+20) ⇔ 2x+20=1.5x+30 ⇔ 2x-1.5x=30-20

⇔ 0.5x=10 ⇔ x=20.

By the way the mother’s s age = 40 years.

:)

Answer:

C. 32 cm³

Step-by-step explanation:

[tex] {a}^{2}\frac{h}{3} = V[/tex]

[tex]({4})^{2}( \frac{6}{3}) = (16)(2) = 32[/tex]

a → length\base edge

I am joyous to assist you anytime.

Answer:

Step-by-step explanation: To find the area of the pyramid shown, we can first start by finding the area of the base. To find the area of the base, we can multiply the length by the width. Notice that both the length and the width of a square are equal so the area of a square will be equal to the length of a side multiplied by the length of a side.

Area = Length x Width = (side) (side)

Area = Side²

(4 cm²) = 16 cm².

Therefore, the area of the bases is 16 cm².

Now, let's finish the problem.

Image provided.

10!

There's two halves in a whole. So we could do 5 x 2 to get our answer. Hope this helps!

The expression 28(15+9) can be simplified and rewritten using the distributive property as Option D. 28 x 15 + 28 x 9. This is the correct equivalent expression.

To determine which expression is equivalent to 28(15+9), we should first simplify the expression inside the parentheses:

Step 1: Simplify inside the parentheses: 15 + 9 = 24.

Step 2: Multiply by 28: 28 x 24.

Now, let's break it down further:

Using distributive property: 28(15+9) can be rewritten as 28 x 15 + 28 x 9, which will result in distributive multiplication.

Therefore, the equivalent expression is Option D.  28 x 15 + 28 x 9.

Complete question:

Which expression is equivalent to 28(15+9) ?

A. 28 + 15 x 28 +9

B. 28 x 15 +9

C. 28 + 15 + 28 +9

D. 28 x 15+28 x 9

The corresponding composite function for (f∘g)(x) include the following: (f∘g)(x) = 4 - 15x.

In Mathematics and Geometry, a function composition is an operation (∘) that combines two functions f(x) and g(x), in order to produce a composite function h(x) = (g∘f)(x), such that h(x) = g.

In this exercise, we would determine the corresponding output values for the given composite function by using the substitution method as follows;

f(x) = 3x + 1

g(x) = 1 - 5x

(f∘g)(x) = 3(1 - 5x) + 1

(f∘g)(x) = 3 - 15x + 1

(f∘g)(x) = 4 - 15x.

Complete Question:

Let f(x)=3x+1 and g(x)=1-5x. Find (f∘g)(x).

Answer:

Step-by-step explanation:

41:2

41:43

This is because the question wants the number of burgers with onions to the total amount of burgers. The question already states 41 have onions. It also states the total amount of burgers is 43. Therefore, your answer is 41:43.

Answer:

Step-by-step explanation:

continuing from the 3rd line....

10x - 1 = 10x + 8     (subtract 10x from both sides)

10x - 10x - 1 = 10x -10x + 8

-1 = + 8   (this last line is not part of the solution but i'm showing it here so you can see what is going on, obviously -1 cannot be 8)

Since   -1  ≠ 8, the equation has no (i.e zero) solutions

Answer:

  B) 116.88 inches

Step-by-step explanation:

we know that

To find out the length of 12 basketballs lined up next to each other, multiply the diameter of one basketball by 12

[tex]12(9.47)=113.64\ in[/tex]

therefore

The logical answer between the options is 116.88 inches, because the length cannot be less than 113.64 in

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

[tex]t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150[/tex]

substitute in the formula above

[tex]I=P_1(r_1t)+P_2(r_2t)[/tex]

[tex]1,150=x(0.0525*1)+(25,000-x)(0.04*1)[/tex]

Solve for x

[tex]1,150=0.0525x+1,000-0.04x[/tex]

[tex]0.0525x-0.04x=1,150-1,000[/tex]

[tex]0.0125x=150[/tex]

[tex]x=\$12,000[/tex]

[tex]|$25,000-x=\$13,000[/tex]

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Answer:

Step-by-step explanation:

Let x be the investment at 5.25% and y at 4%

Then we have

[tex]x+y =25000\\5.25x+4y = 115000[/tex]

We have to solve this system to get x and y

Multiply I equation by 4

[tex]100000=4x+4y\\115000=5.25x+4y\\-----------------------------\\15000 = 1.25x\\x = 12000\\y =25000-12000 = 13000[/tex]

12000 should be invested in 5.25% and 13000 in 4% interest.

Answer:

w=4

Step-by-step explanation:

2(48)+2(8w)+2(6w)=208

1) Start by Distributing the value outside of the parenthesis:

96+16w+12w=208

2) Combine alike terms:

96+28w=208

3) Subtract 96 from both sides:

28w=112

4)Divide both sides by 28 to isolate w:

w=4

Let me know if you do not understand :)

Answer:

Step-by-step explanation:

four hundred one thousand, three hundred seventy-eight

Answer:  7) vertex = ∠H       sides = HG and HI

                8) ∠H, ∠IHG, ∠GHI, ∠4

                9) ∠HVI, ∠HVJ, ∠IJV

NOTES:

1) The vertex is the point where the two segments, rays, or lines connect.

2) When naming an angle, the vertex is ALWAYS written in the middle with the sides on the left and right.

Answer:

[tex]y=0.25x[/tex]

Step-by-step explanation:

We are given that a graph which shows the relationship between the late fines the library charges and the number of days late.

From given graph we can see that

The graph passes through the points (2,0.5)  and (10,2.5).

We have to find the equation for the relationship.

Slope formula:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

By using the formula

Slope of graph=[tex]m=\frac{2.5-0.5}{10-2}[/tex]

Slope of graph=m=[tex]\frac{2}{8}=\frac{1}{4}[/tex]

Point slope- form:[tex]y-y_1=m(x-x_1)[/tex]

We have [tex]y_1=2.5,x_1=10[/tex]

Substitute the values then we get

The equation of for the relationship

[tex]y-2.5=\frac{1}{4}(x-10)[/tex]

[tex]y-2.5=0.25x-2.5[/tex]

[tex]y=0.25x-2.5+2.5=0.25x[/tex]

Hence, the equation for the relationship is given by

[tex]y=0.25x[/tex]

Answer:

Yes, you are correct :)

Answer:

1/4

Step-by-step explanation:

4x^2 - 36 = 0

4x^2 = 36

x^2 = 36/4

x^2 = 9

sqrt{x^2} = sqrt{9}

x = - 3 and x = 3

Answer:

21

Step-by-step explanation:

It might be 21/30 , hope it helps though :)

Answer:

21 is the un known value.

Step-by-step explanation:

10 times 3=30

7 times 3 = 21

so 21/30 is your answer.

Answer:

227.4 miles

Step-by-step explanation:

If Hong travelled 37.9 each day, then in 6 days :

37.9 × 6 = 227.4 miles

Answer:

227.4 miles  hope this helps :3

Greatest revenue = Company D with 6.8 x 10^7

Least revenue = Company C with 9.0 x 10^4

Difference = 6.8 x 10^ 7 - 9.0 x 10^4

= 68000000 - 90000

= 6.79 x 10^7

Answer is D

The difference in revenue between the company with the greatest revenue and the one with the least revenue is  6.79 x [tex]10^7[/tex]

Option D is the correct answer.

We have,

From the table,

D has the greatest revenue.

C has the lowest revenue.

Now,

D revenue = 6.8 x [tex]10^7[/tex]

C revenue = 9 x [tex]10^4[/tex]

The difference in revenue between the company with the greatest revenue and the one with the least revenue.

= 6.8 x [tex]10^7[/tex] - 9 x [tex]10^4[/tex]

= 67910000

= 6791 x [tex]10^4[/tex]

= 6.79 x [tex]10^7[/tex]

Thus,

The difference in revenue between the company with the greatest revenue and the one with the least revenue is D. 6.79 x [tex]10^7[/tex]

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Answer:

PW = 11

Step-by-step explanation:

Given that the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{RQ}{WV}[/tex] = [tex]\frac{RP}{PW}[/tex] ← substitute values

[tex]\frac{12}{6}[/tex] = [tex]\frac{22}{PW}[/tex] ( cross- multiply )

12PW = 132 ( divide both sides by 12 )

PW = 11

Answer:

Undefined

Step-by-step explanation:

The slope of a line parallel to the line x = 5 is undefined because the line would be a straight vertical line. Vertical lines don't have a slope because it is impossible to measure rise/run. Hope this helps!

Answer:

it's associatively property of addition

(a+b)+c= a+(b+c)

Answer:

Answer to D: 3/5

Step-by-step explanation:

There are 5 songs.

And 3 of them have the word "Mama" in the title.

Make 5 the total amount of songs and 3 songs are how many times the word "Mama" appears once in each song.

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the price of the shirt

y ---> he price of the pants

we have that

The price of three shirts plus the price of two paints must be equal to $300

so

[tex]3x+2y=300[/tex]

This is the equation of the line in standard form

Convert to slope intercept form

[tex]y=mx+b[/tex]

Isolate the variable y

[tex]3x+2y=300[/tex]

subtract 3x both sides

[tex]3x+2y-3x=-3x+300[/tex]

[tex]2y=-3x+300[/tex]

Divide by 2 both sides

[tex]y=-1.5x+150[/tex] ----> equation of the line in slope intercept form

Find out the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero

Using the Standard Form, identify the x-intercept of the graph

The standard form is

[tex]Ax+By=C[/tex]

The x-intercept is C/A

we have

[tex]3x+2y=300[/tex]

so

[tex]300/3=100[/tex]

The x-intercept is the point (100,0)

That means---> The price of the shirt is $100 when the price of the paints is equal to $0

Alternative method to find out the x-intercept (equation in slope intercept form)

[tex]y=-1.5x+150[/tex]

For y=0

[tex]0=-1.5x+150[/tex]

solve for x

[tex]1.5x=150[/tex]

[tex]x=\$100[/tex]

The x-intercept is the point (100,0)

Answer:

you should give the person who first answered this brainliest

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Substitute the given values for y and z into the expression

zy + 4y = (2 × 5) + (4 × 5) = 10 + 20 = 30

Answer:30

Step-by-step explanation:2x5+4x5=30