The product of integers a,b,c and d is 546 and if 1<a<b<c<d, what is the value of b+c?​

Answers

Answer 1

Hello,

546=2*3*7*13

a=2, b=3,c=7,d=13

b+c=3+7=10


Related Questions

Can someone please help me with this?

Answers

Answer:

x = 2/3

Step-by-step explanation:

-3x + 4 = 2

-3x = -2

x = 2/3

y = 2

(plug it into original equation)

(2/3. 2)

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

78

Step-by-step explanation:

please help me to solve this​

Answers

Answer: x= 112°, y = 34°

Step-by-step explanation:

"Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle."

That means the angle adjacent to 56° = 90° - 56° = 34°

"The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points."

The angle adjacent to the left of ∠X = 2(34°) = 68°

x = 180° - 68° = 112°

The angle adjacent to the right of ∠X = the angle adjacent to the right of ∠X = 68°

y = 68 ÷ 2 = 34°

Circle theorems source: https://revisionmaths.com/gcse-maths-revision/shape-and-space/circle-theorems#:~:text=Angles%20formed%20by%20drawing%20lines%20from%20the%20ends,the%20point%20on%20the%20circumference%20our%20triangle%20touches.

HELP ME PLSSSSSSS!!!!!!!!!

Answers

Domain of the function

[-3,5)

What is the sum of the 15th square number and the 5th cube number?

Answers

The sum of the 15th square number and the 5th cube number is 350.

The 15th square number will be:

15² = 15 × 15

= 225

The 5th cube number will be:

5³ = 5 × 5 × 5

= 125

The sum of the numbers will be:

225 + 125

= 350

Therefore, we get that, the sum of the 15th square number and the 5th cube number is 350.

Learn more about sum here:

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Write 48596 in standard form​

Answers

Answer:

forty-eight-thousand five-hundred and ninety-six

Real number: 48596
Standard form: 48596X10^4

which statements are true about the target function? Check all that apply.
tan(PAB) = y/x
tan(APB) = x/y
tan(PAB) = sin(PAB)/cos(PAB)
tan(PAB) = cos(PAB)/sin(PAB)
tan(PAB) = PB/AB

Answers

Answer:

A, B, C, E.

Step-by-step explanation:

.

Instructions: Find the missing angle in the image below. Do not include spaces in your answers

Answers

Answer:

15

Step-by-step explanation:

to find angle C, you subtract 50 from 180 which is 130. that means then you add 35 and 130 together which is 165. then subtract 180-165 which is 15.

The measure of the angle ∠BAC of the triangle ABC will be 15°.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In triangle ABC, the angle B is 35° and the exterior angle C is 50°.

The measure of the angle ∠BAC of the triangle ABC will be,

We know that the sum of any two interior angle of the triangle is equal to the third exterior angle of the triangle.

The sum of the angles ∠BAC and ∠ABC is equal to angle ∠BCF. Then the equation will be

∠BAC + ∠ABC = ∠BCF

    ∠BAC + 35° = 50°

             ∠BAC = 50° – 35°

             ∠BAC = 15°

Thus, the measure of the angle ∠BAC will be 15°.

More about the triangle link is given below.

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54+54788347589535222

Answers

5.4788348e+16. ........

Answer:

54788347589535276

Step-by-step explanation:

you simply add the given values...

a_(n)=7n-1 9 ( what is the fourth term)

PLEASE HELP ASAP.

Answers

Answer:

Fourth term of given arithmetic progression a(4) = 30

Step-by-step explanation:

Given incomplete information:

a(n) = 7n - 1 9

Assume Correct information:

a(n) = 7(n - 1) + 9

Find:

Fourth term of given arithmetic progression

Computation:

Fourth term of given arithmetic progression = a(4)

So,

Number of term (n) = 4

So,

a(n) = 7(n - 1) + 9

a(4) = 7(4 - 1) + 9

a(4) = 7(3) + 9

a(4) = 21 + 9

a(4) = 30

Fourth term of given arithmetic progression a(4) = 30

Uma madeira clandestina corta 325 árvores por dia em quantos dias eles devastaram uma área com 1625 árvores

Answers

Answer:

Se necesitarían 5 días para talar 1625 árboles a este ritmo

Step-by-step explanation:

1625 dividido por 325 iguales 5, así que otra forma de averiguar esto es multiplicar 325 por 5, 325 Multiplicado por 5 iguales 1625.

x+3=5 . Find x in the given equation

Answers

Answer:

2

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

Therefore, x=2 in the given equation

Answer:

2

Step-by-step explanation:

x+3=5

x=5-3

x=2

Hope it helps

There are six different candidates for governor of a state. In how many different orders can the names of the can- didates be printed on a ballot

Answers

Answer: 720

Step-by-step explanation:

Given

There are 6 candidates for a state of governor

Here, order is important. So, the no different orders is given by permutations

[tex]\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720[/tex]

There are 720 different orders for the candidate name to be printed.

Find the equation of the line that
is perpendicular to y = -4x + 3
and contains the point (8, 1).

Answers

Answer:

x-4y=8

Step-by-step explanation:

y=mx+c comparing with given eq

we get slope(m1)=-4

since both are prependicular

m1×m2=-1

-4×m2=-1

m2=1÷4

eq:-y-y1=m2 (x-x1)

y-1=(1÷4)(x-8)

x-4y=4

y=1/4x-1

perpendicular means the y-intercept stays the same (so 3 stays), but the slope would be the opposite reciprocal of the original.

the opposite of -4 is 4. opposite of negative=positive.

the reciprocal of 4 is 1/4

so the new slope is 1/4

since we have a point, you plus everything on the point slope-form.

y-y1=m(x-x1)

(8,1)—> the 8 is x1 and the 1 is y1
the slope is m

so it’ll be

y-1=1/4(x-8)

solve. first distribute the 1/4

y -1=1/4x - 2

add 1 to both sides

y= 1/4x - 1

A sector of a circle of radius is 15Cm, and angle 216 degrees is bent to form a cone. What is base radius of the cone and the vertical height of the cone?​

Answers

Answer:

Step-by-step explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

= 18π cm

Radius of base of cone = 18π/(2π) = 9 cm

Slant height of cone = radius of circle = 15 cm

Height of cone = √(15² - 9²) = 12 cm

The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is $5.75. The total cost of two lemonades is $0.25 more than the cost of a pretzel. What is the cost of a pretzel?

Answers

Answer:

$2.25

Step-by-step explanation:

>givens:

2 pretzels + 1 lemonade = $5.75

2 lemonades = 1 pretzel + $0.25

>find from the first equation how much is 1 lemonade

2 pretzels + 1 lemonade = $5.75, subtract 2 pretzels from both sides

1 lemonade = 5.75 -2 pretzels

>substitute in the second equation 2 lemonades with 2(5.75-2 pretzels)

2 lemonades = 1 pretzel + $0.25

2(5.75-2 pretzels) =  1 pretzel + $0.25, distribute 2 in parentheses

11.5 -4 pretzels = 1 pretzel +0.25, isolate like terms

11.5-0.25 = 1+4 pretzels, combine like terms

11.25 = 5 pretzels, divide both sides by 5

1 pretzel = $2.25

*you can use the letter "p" for pretzel and "l" for lemonade to make the equations more concise

Can someone help I don’t know how to do this

Answers

Answer:

slope is zero

Step-by-step explanation:

This is a horizontal line parallel to the x- axis

Since the slope of the x- axis is zero then the slope of the line is zero

Answer:

its slope is zero

Step-by-step explanation:

the slope of a line is simply the ratio between y- and x-change from one point of the line to another.

you can express it as y/x.

e.g. 5/2 - meaning that when x changes by 2 units, y changes by 5 units (so, it goes up steeply).

now, the line in the graph is just a flat line. no matter how many units we change x and move to the right, y won't change and simply stay at 2.5.

so, 0 change in y.

and the slope is 0/"delta x" for "delta x">0

all that means the slope is 0, as 0 divided by anything is always 0.

the function for that line is therefore

y = 0×x + 2.5 or simply

y = 2.5

and the factor of x (in this case 0) is always the slope of the line.

What is the typical number of payments that can be made toward paying off a single payment loan?

A. one hundred

B. one

C. two

D. unlimited

Answers

Answer:

The correction option is B.

Step-by-step explanation:

Asking for typical no. of payments towards paying single payment loanSince single payment loan should be paid in one shotTherefore correct option is B i.e. one.

Answer:

B. One

Step-by-step explanation:

If it is a single payment loan, the title is self explanatory <3

EXERCISE NA Amarutactures 1200 scooters in 18 days. How many scooters does mane in 1 day​

Answers

Answer:

66

Step-by-step explanation:

he uses 66 in one day

suppose you start with a single bacterium of streptococcus at hour 0 , and it has a generation time of 60 minutes. how many bacteria will you have at the end of hour 24

Answers

Answer:

60x24

Step-by-step explanation:

60x24=1224

Which is the ratio of triangles and to hearts
there is 22 hearts and
11 triangles

Answers

Answer:

triangles : hearts = 11 : 22 = = 11 : 2(11) = 1 : 2

If you put it in fraction form it's [tex]\frac{triangles}{hearts} =\frac{11}{22} =\frac{11}{2(11)}=\frac{1}{2}[/tex].

Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.

Answers

Answer:

Step-by-step explanation:

1,

-10,20,-40,80,...

common ratio=20/-10=-2

it is a geometric sequence.

2.

15,-5,-25,-45

common difference=-5-15=-20

it is an arithmetic sequence.

i don’t know if i got the answer wrong but help!

Answers

Answer:

skew

Step-by-step explanation:

Perpendicular lines must intersect. In fact, they intersect forming right angles.

Lines AC and RC are not in the same plane and do not intersect.

They are called "skew lines."

Skew

Because they are in different plane and do not intersect and are not parallel

Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?

Answers

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Step-by-step explanation:

a box of candy contains 0.6 of pounds of caramels and 3.6 pounds of coconut what precent of the contents of the box

Answers

Answer:

We know that the box has:

0.6lb of caramels

3.6lb of coconut.

Then the total mass of candy in the box is:

0.6lb + 3.6lb = 4.2lb

This is the 100% of the box.

Now, we can write this as:

4.2lb = 100%

For example, if we want to know which percentage is caramels, we write the equation:

0.6lb = X

We want to find the value of X

Then we have two equations:

0.6lb = X

4.2lb = 100%

Let's take the quotient of these two equations:

(0.6lb/4.2lb) = X/100%

Now we can solve this for X:

(0.6lb/4.2lb)*100% = X = 14.3%

the caramels represent the 14.3% of the wheight of the box.

And for the coconut candy, we have the relation:

3.6lb = Y

Now let's do the same again, we start with the two equations:

3.6lb = Y

4.2lb = 100%

Take the quotient:

(3.6lb/4.2lb) = Y/100%

Solve for Y:

(3.6lb/4.2lb)*100% = Y = 85.7%

Now we found the percentage that represent each type of candy in the box.

Barry has 17 more than two-thirds of the number of cards in his brother's baseball card collection. If x represents the number of baseball cards his brother has, which expression represents the number of baseball cards Barry has? Two-thirds x minus 17 Two-thirds x + 17 17 x minus two-thirds 17 x + two-thirds

Answers

Answer:

B. Two-thirds x + 17

Step-by-step explanation:

Let

x = number of baseball cards his brother has

two-thirds of the number of cards in his brother's baseball card collection = 2/3x

Barry = 2/3x + 17

A. Two-thirds x minus 17

= 2/3x - 17

B. Two-thirds x + 17

= 2/3x + 17

C. 17 x minus two-thirds

= 17x - 2/3

D. 17 x + two-thirds

= 17x + 2/3

The correct answer is

B. Two-thirds x + 17

Answer:

It's B

Step-by-step explanation:

I got a 100 on my test

Evaluate the expression: 5 + (1 + 1)3 × 2.

Answers

5 + (1 + 1)3 × 2

5 + (2) 3 x 2

5 + 6 x 2

5 + 12

17

Answer:

17

Step-by-step explanation:

5 + (1+1)3*2

1+1= 2

5+2*3*2

3*2= 6

6*2= 12

12+5=17

guys help me
what is the answer?

Answers

Step-by-step explanation:

C. represent the number line for x

where x ix

3x>6x> 6/3x>2

hope it helps.stay safe healthy and happy.

Use expression and the unit grid below to answer the question .

Answers

0.24 divided by 3 is 0.08 I do not understand the question

What is the nth term rule of the quadratic sequence below?
8,14,22,32 ,44, 58, 74...

Answers

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

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