Solve the problem involving consecutive integers.
If three times the smaller of two consecutive integers is added to four times the larger, the result is 109. Find the smaller integer.
A. 14 B. 45 C. 15 D. 16

Answers

Answer 1

Answer:

c.15

Step-by-step explanation:

smaller integer=x

larger integer=x+1

3x+4(x+1)=109

3x+4x+4=109

7x+4=109

7x=105

x=105/7

x=15

check:

3(15)+4(15+1)=109

45+64=109


Related Questions

Hurry, I need help and please explain

Answers

Answer:

Question 18

=$3.33

Step-by-step explanation:

i)

26/100 x 4.5

=1.17

(the discount price)

ii)

$4.5-$1.17

=$3.33

Answer:

QUESTION 18

The original price is $4.50

The discount is 26%

They are asking for the sale price which the price after the discount.

So,

The original price means 100% of the cost, like there is no discount at all.

But then we have to apply a 26% discount which means to subtract 26% (the discount) from 100% (the original price)

The new price of the item has to be 74% of the original price.

74% of $4.50   is the same as saying 26% discount.

But what is the number?

To calculate 74% of $4.50, turn 74% into a decimal which is 0.74, then multiply it by 4.50.

0.74 x 4.50   = 3.33

In conclusion, after a 26% discount on an item that is originally $4.50, the new price (sale price) of the item is now $3.33

14x - 43 = 71 + 8x look for x show work please

Answers

Answer:

x=19

Step-by-step explanation:

14x-43=71+8x         problem

14x=114+8x           add 43 to both sides

6x=114              subtract 8x from both sides

x=19                 divide by 6 to both sides (114/6 =19) x=19

HELP ILL GIVE BRAINLIEST

Answers

A would be the correct answer.

Answer:

[tex]7.09*10^{8}[/tex]

Step-by-step explanation:

In scientific notation, a number less than 10 (in this case 7.09) is the base, and it is multiplied by 10 with an exponent (in this case 8).

5-10m
WHATS THIS ANSWER?.
.
.
..
.
.

Answers

Answer:

-5 is the answer

Step-by-step explanation:

the height of an apple

Answers

Answer:

apples are usually roundish, 5–10 cm (2–4 inches) in diameter

Step-by-step explanation:

Dwarf apple trees grow about 10 feet tall, while semi-dwarf varieties can reach 15 feet. Meanwhile, standard-size apple trees often soar to heights above 20 feet and sometimes tower at 30 feet.

Apples are 5 - 10 cm in height.

What is height?

Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it

Given is an apple.

When harvested, apples are usually roundish, 5–10 cm (2–4 inches) in diameter.

Therefore, apples are 5 - 10 cm in height.

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What is the missing number in the solution to 958 ÷ 10?

Answers

Answer:

B.)58?

Step-by-step explanation:

Hope I helped..

Answer:

b: 58

Step-by-step explanation:

Which is the correct decimal representation of 13/40

Answers

Answer:

.325

Step-by-step explanation:

Answer:

0.325 is a decimal

Step-by-step explanation:

752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?

Answers

752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?

Answer:

188

Step-by-step explanation:

752 x 25% = 188

where the dot needa go ?

Answers

Answer:

where the green circle is where it goes

A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. How much time does it take to sort the books from start to finish?

Answers

Answer:

6 days

Step-by-step explanation:

hope this helps

A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. Then 6 days  time does it take to sort the books from start to finish

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The librarian sorted at a constant rate, then they sorted the same amount of books all 4 days.

450-150=300

If they still have 150 books left to sort, then they sorted 300 books over 4 days.

300/4=75

This means that they sorted 75 books per day.

150 divided by 75 is 2

So it will take 2 more days to finish sorting all the books.

So altogether, it will take 6 days to sort all of the books.

Hence 6 days time does it take to sort the books from start to finish

To learn more on Equation:

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someone knows what number multiplied twice by the same can give me results 130!!!! Help plis plisss

Answers

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2    

= 65

and

65 x 65 = 130

S
You have $18 to spend on lip balm and hand sanitizer. The equation 1.5x + 2.5y = 18 represents this situation, where x is tubes of
lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand
sanitizer?

Answers

Answer:

(1.5×5) + (2.5×4)

Step-by-step explanation:

if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D

What is the sum of 3(x + 3) and -2(x - 5)?
A. x - 2
B. x - 1
C. x + 8
D. x + 19

Answers

Answer:

The answer is D

Step-by-step explanation:

Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?

Answers

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3; si el producto de ambos precios es numéricamente 3 456, calcula el precio del saco de azúcar.

Answers

Answer:

El precio del saco del azúcar es de 72.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex] los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:

(i) El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3:

Aquí se menciona una igualdad entre expresiones racionales, es decir:

[tex]\frac{x}{2} = \frac{y}{3}[/tex]

[tex]3\cdot x -2\cdot y = 0[/tex] (1)

(ii) El producto de ambos precios es numéricamente 3456:

[tex]x\cdot y = 3456[/tex] (2)

Ahora resolvemos el sistema de ecuaciones, despejamos [tex]x[/tex] en (1):

[tex]x = \frac{2}{3}\cdot y[/tex]

Y la aplicamos en (2):

[tex]\frac{2}{3}\cdot y^{2} = 3456[/tex]

[tex]y^{2} = 5184[/tex]

[tex]y = 72[/tex]

El precio del saco del azúcar es de 72.

y-intercept. y = -3/2x

Answers

Answer:

i hope you find the answer but unfortunaatly im not sure

Step-by-step explanation: thankyou for the points though :)

Completely factor f(x)=2x^4+11x^3+2x^2-15x given that f(-3/2)=0

Due today please help

Answers

Answer:

There isn't a picture

Step-by-step explanation:

solve the question, thank you

Answers

Answer:

A . m = 11/6

its going to be a

the answer is A because when you do y2 - y1 / x2- x1 you are doing 18-7/ 4- (-2) and 18-7 is 11 and 4-(-2) is 6 so your answer will be 11/6 which is A

Un químico agrega cierta cantidad de una solución de 86% de alcohol a 11 litros de otra solución al 71% de alcohol y obtiene una solución al 77% de alcohol encuentre la cantidad de litros de la primera solución que se agregaron a la segunda

Answers

Answer:

Step-by-step explanation:

Sea x la cantidad de litros de la mezcla al 86%

x× 86% + 11 × 71% = (x + 11) × 77%

0.86x + 7.81 = 0.77x + 8.47

23=-8y-7+2y
Y=???????????

Answers

Answer:

y= -5

Step-by-step explanation:

Answer:

y=-5

Step-by-step explanation:

23=-8y-7+2y

23=-6y-7

23+7=-6y-7+7

30=-6y

To find Y divide both sides by-6.

30/-6=-6y÷-6

-5=y

What is the solution 8x-3(2x-4)=3(x-6)

Answers

Answer:

x = 30

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

8x - 3(2x - 4) = 3(x - 6)

Step 2: Solve for x

Distribute:                                   8x - 6x + 12 = 3x - 18Combine like terms:                   2x + 12 = 3x - 18Subtract 2x on both sides:        12 = x - 18Add 18 to both sides:                 30 = xRewrite:                                       x = 30

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    8(30) - 3(2(30) - 4) = 3(30 - 6)Multiply:                        240 - 3(60 - 4) = 3(30 - 6)Subtract:                       240 - 3(56) = 3(24)Multiply:                        240 - 168 = 72Subtract:                       72 = 72
16x^2 - 32x -3x +12 = 3x-18
X= 30

Which of the following numbers is irrational?
0.13
✓3
-0.3

Answers

the square root of 3 is irrational

Anthony is shopping at a discount store. He really wants to buy a jacket that costs $129.99. The jacket is on sale for 25% off. Anthony also has a coupon for 35% off any item in the store. If the sales tax is 7.2% after discounts, what is the final sale price of the jacket?

Take the discounts off one at a time in the order listed, and then add on the tax. Round to the nearest cent.

Price after the first discount:

Price after both discounts:

Price after adding tax:

Answers

Answer:

dats alot

Step-by-step explanation:

Please help and If you can have a good night

Answers

Answer:

Please help and If you can have a good night

SSS

which equation represents the vertical line passing through (7,-3)
A. x=-3
B. y=-3
C. x=7
D. y=7

Answers

Answer:

B- y=-3

Step-by-step explanation:

Chocolate sprinkles cost as much per pound as sugar. Find 1 10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.

Answers

116=$0.05


hope this helps

The total cost of chocolate sprinkles is $800

What are Place value charts?

This is an implementation of the numeral system that shows the value of each digit in a number using their positions

Given that, Chocolate sprinkles cost as much per pound as sugar.

From the complete question, we have the following parameters:

Unit rate = $8.00

Total pounds = 100

Total cost of chocolate sprinkles

So, the total cost of chocolate sprinkles is calculated using the following formula;

Unit = Total / Pounds

This gives

$8.00 = Total / 100

Total = $800

Hence, the total cost of chocolate sprinkles is $800

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£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day


I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out​

Answers

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

19 - (- 41)
plzzzzzz help fast!

Answers

Answer:

60

Step-by-step explanation:

Is because when you have two negative -- signs it became positive

19 + 41 = 60

Answer:

60

Step-by-step explanation:

19 - (- 41) by the power of math, it turns into a positive and the subtraction sign to an addition

19 + (+41)

19+40= 60

Help please uh thanks

Answers

12•1
13•6
12/78 divide both numbers by 6 to simplify
Answer- 2/13
2/13 Is the answer to this question :)

I need help pleaseeee

Answers

Do u have to simply?
Fraction is 2/5
Decimal is 0.4
Percent is 40%
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