Five consecutive multiples of 7 have a sum of 350. What is the smallest of these numbers?
A. 70
B. 56
C. 77
D. 84

Answers

Answer 1

Answer:

B. 56

Step-by-step explanation:

x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350

( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350

5x + 70 = 350

     - 70    - 70

_____________

5x = 280

x = 56

Hope this helps!

Answer 2

The smallest number is 56, the correct option is B.

What is Sum?

The sum is the output of the mathematical operation, Addition.

Let the first number is x, they are multiples of 7,

As they are multiples of 7, the consecutive numbers will be added by 7 for next term.

The 5 consecutive numbers can be written as x, (x+7), (x+14), (x+21), (x+28).

The equation can be formed for the numbers that are given as,

An equation is a mathematical statement that relates an algebraic expression with other expression by an equal sign.

The sum of the multiples is 350

x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350

Grouping the variables and the constants separately

( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350

5x + 70 = 350

Adding (-70) to both sides of the equation

5x = 280

Dividing both sides by 5

x = 56

The value of the first number of the series is obtained.

The first value is the smallest number of the series.

To know more about Sum

https://brainly.com/question/13013054

#SPJ2


Related Questions

2. En una división el dividendo es 445, el divisor es 32, el cociente es 14 y el resto es 7. ¿Está bien hecha? Compruébalo de dos maneras diferentes

Answers

Respuesta:

El cálculo no está bien hecho.

el cociente es 13

El resto es 29

Explicación paso a paso:

Dividendo = 445

Divisor = 32

Cociente = 14

Resto = 7

445/32 = 13,90625

El cociente = 13

Resto = (13.90625 - 13) * 32

Resto = 0.90625 * 32

Resto = 29

Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29

Please help me Find PA.

Answers

PO is 5 by using Pythagorean theorems and it forming a 3,4,5 triangle so PA is PO + OA so it is 8

first answer gets marked brainliest!!!

Answers

Answer:

in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s

hope that helps ❤

if x=3√8, find the value of 1/x

plz its urgent

Answers

Answer:

[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]

In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?

Answers

Answer:

700 parts

Step-by-step explanation:

To find the total amount of parts in the shipment, all we need to do is divide.

6% = 0.06

42 / 0.06 = 700

Best of Luck!

You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50





represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.

(Choose 2)

Answers

Answer:

Options (1) and (4)

Step-by-step explanation:

Given equation for the deposit in the saving account is,

y = 20x + 50

Here, y = Amount of money in the account

20 = money added in the account every month

50 = Initial deposit

By comparing this equation with the slope-intercept form of the equation of a line,

y = mx + b

Here, slope m = money added in the account every month

And b = y-intercept

Therefore, Options (1) and (4) will be the answer.

The polygons in each pair are similar. Find the missing side length

Answers

Answer:

24 is the answer because 18/3=6 6x4 is 24

What is the rate of change of the amount earned with respect to hours worked for this function?
A) 1/13 hours per dollar
B) 2/5 hours per dollar
C) 3 dollars per hour
D) 13 dollars per hour

Answers

The rate of change of the amount earned with respect to hours worked for this function is D. 13 dollars per hour.

What is rate of change?

The rate of change for the point defined on the graph can be deduced by calculating the ratio of the difference between the two coordinate points given, similar to calculating the gradient or slope :

Point a = (5, 65) = (x₂, y₂)

Point b = (2, 26) = (x₁, y₁)

Calculating the gradient or slope :

Rate of change = (y₂ - y₁) / (x₂ - x₁)

Rate of change = (65 - 26) / (5 - 2)

Rate of change = 39 / 3

Rate= 13 dollars per hour

Learn more about rate of change on:

https://brainly.com/question/8728504

#SPJ1

Complete question

The graph shows the amount of money Miguel earns after working x hours. What is the rate of change of the amount earned with respect to hours worked for this function? hours per dollar hours per dollar 3 dollars per hour 13 dollars per hour

Find the line’s slope and a point on the line
Y-4=-3/4(x+5)

Answers

Answer:

The slope is -3/4 and a point on the line is (-5,4)

Step-by-step explanation:

This equation is in point slope form

y -y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

Y-4=-3/4(x+5)

Y-4=-3/4(x -  -5)

The slope is -3/4 and a point on the line is (-5,4)

what is 8/9 divided 2/3

Answers

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Solve the system of equations.
6x – Зу = 3
-2x + y = 14
1.What number would you multiply the second equation
by in order to eliminate the x-terms when adding to the
first equation?
2.What number would you multiply the first equation by in
order to eliminate the y-terms when adding to the
second equation?

Answers

Answer:

1. Multiply by 3

2. Multiply by 1/3

Step-by-step explanation:

6x - 3y = 3

-2x + y = -14

1. In order to eliminate the x-terms, they would both have to equal the same number with opposite signs (positive and negative). Since we are only touching the second equation, how can we get from 2 to 6? We can multiply 2 by 3 to get to 6 (negative 6 in the end.) This would result as follows:

6x - 3y = 3

-6x + 3y = 42

2. In order to eliminate the y-terns through multiplying with the first equation, we have to figure out how to make 3y into 1y. We can do this by adding its reciprocal, 1/3. 1/3 × 3 = 1. This would result as follows:

2x - y = 1


Choose the correct description of the graph of the inequality X - 3 greater than or equal to 25

A. Open circle on 8, shading to the left
B. Closed circle on 8, shading to the left.
C. Open circle on 8, shading to the right.
D. Closed circle on 8, shading to the right.

I’m pretty sure it’s D

Answers

Answer:

D. Closed circle on 8, shading to the right.

On an electricity bill of $40.80, Mrs.
Miller pays only $38.76 because she pays
before a certain date. What percent
discount is Mrs. Miller allowed?

Answers

Answer:

100%_$40.80

? × _$38.76

Step-by-step explanation:

100%×$38.76÷$40.80=95%

Answer:

40.80

Step-by-step explanation:

I’m stuck on this one help anyone?

Answers

Answer:

just add a small amount to the 2.8 and square the result

Step-by-step explanation:

x x^2

2.8 7.84

2.81 7.8961

2.82 7.9524

2.83 8.0089

2.84 8.0656

2.85 8.1225

2.86 8.1796

2.87 8.2369

Can someone help me I need it.

Answers

Answer:

C is the answer 3rd one...

The square root of 0.25 is 0.5 which is a greater number. Give another number whose square root is larger than the number and explain why.

Answers

Answer:

Another example of a number who's square root is greater than the number is  [tex]\sqrt{0.49}[/tex] which is 0.7

Step-by-step explanation:

This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = 3/4x
h(x) = 1/4x

Answers

Answer:

Let the inverse of f(x) be h(x):

[tex]{ \tt{h(x) = \frac{1}{4x} }}[/tex]

A car travelling at v kilometers per hour will need a stopping distance, d, in meters without skidding that can be modelled by the function d=0.0067v2+0.15v. Determine the speed at which a car can be travelling to be able to stop within 37m.

I’m need of serious help!

Answers

Answer:

v =  14 km/h

Step-by-step explanation:

d = 0.0067[tex]v^{2}[/tex] + 0.15v

differentiate the function with respect to v to have;

d = 0.0134v - 0.15

given that the distance without skidding = 37 m (0.037 km) , then;

0.037 = 0.0134v - 0.15

0.0134v = 0.037 + 0.15

             = 0.187

v = [tex]\frac{0.187}{0.0134}[/tex]

  = 13.9552

v =  14 km/h

The speed of the car travelling would be 14 km/h to be able to stop within 37m.

simplify the following
[tex]simplify \: the \: follwing \: \\ logx \: x9[/tex]
​please I need help

Answers

Answer:

9

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] = nlogx

[tex]log_{b}[/tex] b = 1

Then

[tex]log_{x}[/tex] [tex]x^{9}[/tex]

= 9[tex]log_{x}[/tex] x

= 9

Trey took 5/4
hours to clean the bedroom. He took1/2
hours to clean the den. How much longer did it take Trey to clean the bedroom?
Write your answer as a mixed number in simplest form.

Answers

Answer:

3/4 more hours

Step-by-step explanation:

Hours taken to clean bedroom = 5/4

Hours taken to clean den = 1/2

How much more = 5/4 - 1/2

5-2/4 (common denominator)

3/4 more hours (It's a propper fraction, so we can't write it as a mixed number)

Answer from Gauthmath

Travis makes and sells fishing lures. He
has 56 fishing lures that he is putting into
boxes. Each box can hold 5 fishing lures.
How many boxes can Travis fill
completely?

Answers

11 boxes.

Explanation:
You divide 56 by 5 which will give you 11.2. Round down and you will get 11.

How much water should be added to 90ml of 45 percent acid solution to dilute it to 25 percent acid solution

Answers

Answer:

72 ml

Step-by-step explanation:

Let

x = amount of water that should be added

45% acid solution = 45/100 = 0.45

25% acid solution = 25/100 = 0.25

The equation is

90(0.45) = 0.25(x + 90)

40.5 = 0.25x + 22.5

40.5 - 22.5 = 0.25x

18 = 0.25x

Divide both sides by 0.25

x = 18/0.25

= 72

x = 72 ml

HELP PLEASE HURRY


THANKS

Answers

Answer:

Step-by-step explanation:

Please help me with this, i need help

Answers

Answer:

woa

i  n

Step-by-step explanation:

A bus has less than 42 seats. If 36 seats are already occupied, write an
inequality representing the possible number of passengers that can be
added to the bus.
A.) x - 36 < 42
B.) x + 36 < 42
C.) x - 36 > 42
D.) x + 36 > 57

Answers

Answer:

B

Step-by-step explanation:

A x - 36 <42 is wrong because its saying how many can be added

B x +36 < 42 this one is most likely correct because its displays x as how many can be added

C x - 36 > 42 this is wrong because the bus has less than 42 seats

D x + 36 >57 like i said cant be over 42

The inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

What is inequality ?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. Inequality is used most often to compare two numbers on the number line by their size. There is always a definite equation to represent it.

How to form the given inequality equation ?

Let x be the number of passengers that can be added to the bus.

It is given that the bus has less than 42 seats and 36 seats are already occupied.

The sum of the remaining seats which are to be filled by the passenger and the 36 seats which are filled, must be less than the total seats that is 42.

Therefore the inequality equation becomes,

x + 36 < 42.

Thus, the inequality representing the possible number of passengers that can be added to the bus is Option(B) x + 36 < 42.

To learn more about inequality equation, refer -

https://brainly.com/question/17448505

#SPJ2

Kasey has three pieces of wood that measure 9 inches, 12 inches, and 21 inches. Can she make a right triangle
with the three pieces of wood (without cutting or overlapping)?

Answers

Answer: No

Step-by-step explanation:

Add 2 sides together. If the sum of greater than the length of the 3rd side for all 3 options it can form a right triangle if it doesn’t than it can’t:

9 + 12 = 21 which is not greater than the 3rd side length of 21 so this cannot form a right triangle.

The answer would be (no)

What expression is equal to (3 x 5) x 4

Answers

Answer:

60

Step-by-step explanation:

Step 1:

3 x 5 = 15

Step 2:

15 x 4 = 60

Answer:

well 3. x 5 is 15, then multiply by 4 to get 60.

Step-by-step explanation:

I NEEDDDD D HELPPPPP!!!

Answers

Answer:

70 degrees

Step-by-step explanation:

there are multiple ways, as all the trigonometric functions are related.

let's try it this way :

consider the missing side to be the radius of a circle.

then 41 would be the cos value of the angle (multiplied by that radius, of course).

so, let's calculate the missing side per Pythagoras

c² = a² + b² = 113² + 41² = 12769 + 1681 = 14450

c = 120.21

and now

41 = cos(?) × 120.21

cos(?) = 41/120.21 = 0.341...

? = 70.0576... ≈ 70 degrees

Answer:

70°

Step-by-step explanation:

tangent θ = (opposite side / adjacent side)

tangent θ = (113 / 41)

θ = arctan (113 / 41)

θ = 70.0576°

*Note: "arctan" is the same as "inverse tangent"

**Note: "soh-cah-toa" (and "cho-sha-cao" for sec, csc, & cot) is an easy mnemonic device to remember the trig functions (sin, cos, & tan) and their relations to the sides of a given angle.

A running track has two semi-circular ends with radius 27m and two straights of length 90.6m as shown.
Calculate the total distance around the track rounded to 1 DP.

Answers

Answer:

350.85

Step-by-step explanation:

90.6*2 = 181.2

27*2 = 54 (diameter)

54*pi = 169.646003294

169.646003294 + 181.2 = 350.846003294

350.846003294 = 350.85

convert into power notation -1/81​

Answers

Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

Other Questions
Which letter on the map marks the area settled by French colonists?AnticOceanDA. CB. A C. DD. B What is the solution to this system of equations?2x+y = 6- - x - y = 200(1, -1)(0,8)infinitely many solutionsno solution Select the correct answer.The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, M= log (I/I) .Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? Where is the name of the building above Balance the following chemical equation.CCl4 -> ___ C+ ___ Cl2 please anyone help no wrong asnwers plss ------ What is the mistake in this sentence? Henrys vacation was filled with runnning, biking, and swimming. PLZZZZ HELPPPP IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER! Absolute Value Equations 2nd time. l'll give ya brainliest if you answer lol anywaycan someone make this sentence more like a 7th grader said it or something:The West has large open areas untouched by people. The land includes large forests, deserts, and mountains. The variety causes wide differences in weather. Hiking and camping are popular. The environment is an important issue. Ranching, lumbering, and mining are important industries. Los Angeles, Seattle, and Denver are major cities Which of the following is NOT something you should always do before a journey? A. Map the road ahead B. Deflate and reinflate your tires C. Assess your fitness to drive D. Use the GPS properly, if necessaryHelp plz "Neanderthals were much more like man than thought", if today we meet a Neanderthal face to face: (choose the correct option) *A. I would recognize it because they were taller and stronger than human beings.B. They could only live in Europe and no one would notice.C. I couldn't recognize it because they were so much like us.Choose the correct option. The Stone Age is divided into Neolithic and Paleolithic, then..A. Neanderthals worked stone and some metals.B. Neanderthals lived until the Neolithic because they discovered agriculture.C. Neanderthals had great knowledge of stoneworking techniques.Choose the correct optionA. Neanderthals and humans are the sameB. Between Neanderthals and humans there is a minimal difference.C. Humans were the only ones who made paintings. Put the verbs in brackets: present perfect or present perfect continuous or past perfect.1. Before my trip to Paris two years ago, I ( never be) __ to France.2. When we finally stopped him, the squirrel ( already eat) ___ five cookies.3. Ben ( try ) ___ to open his own restaurant for the last few years. He ( just finish ) ___ the painting, but he ( not do ) ___ the decorating yet.4. You look tired. How long ( run) _____ ? please helpyuffytdgtutidrysryrdf During a particular thunderstorm, the electric potential difference between a cloud and the ground is Vcloud - Vground = 4.20 108 V, with the cloud being at the higher potential. What is the change in an electron's electric potential energy when the electron moves from the ground to the cloud? A parallelogram is cut out of a 12 inch by 8 inch sheet of paper there are four right triangles remnats two have the dimensions 2 inches by 9 inches and the other two have the dimensions 3 inches by 6 inches The Chandler Group wants to set up a private cemetery business. According to the CFO, Barry M. Deep, business is "looking up". As a result, the cemetery project will provide a net cash inflow of $57,000 for the firm during the first year, and the cash flows are projected to grow at a rate of 7 percent per year forever. The project requires an initial investment of $759,000. The firm requires a 14 percent return on such undertakings. The company is somewhat unsure about the assumption of a 7 percent growth rate in its cash flows. At what constant rate of growth would the company just break even? Which of the following statements does not prove that ABCD is a parallelogram.Given: A(-4, 7), B(3,0), C(2,-5) and D(-5, 2). Write instruction to recharge the mobile phone. plz help me to do this