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

Jessica sold half of her comic books and then bought 9 more. She now has 13. How many did she begin with?
Step 1: Define your variable(s)
Step 2: Write an equation.
Step 3: Solve your equation.Step 5: Write a summary statement explaining your solution in the context of the problem..
Step 4: Check your solution.
Step 5: Write a summary statement explaining your solution in the context of the problem..
please helpp me .

Answers

Answer:

She started with 8 books.

Step-by-step explanation:

7 3 2 = 2 insert symbols

Answers

Answer:

7 - 3 - 2 = 2

Step-by-step explanation:

7-3-2=2

Hope it is useful!!

Find the missing factor BBB that makes the equality true. -35x^6=(-5x^2)(B)−35x 6 =(−5x 2 )(B)minus, 35, x, start superscript, 6, end superscript, equals, left parenthesis, minus, 5, x, squared, right parenthesis, left parenthesis, B, right parenthesis B =B=B, equals

Answers

Answer:

[tex]B=7x^4[/tex]

Step-by-step explanation:

The given equality is

[tex]-35x^6=(-5x^2)B[/tex]

Take the term [tex](-5x^2)[/tex] to the left hand side. This means the term [tex]-35x^6[/tex] will be divided by [tex](-5x^2)[/tex]

[tex]\dfrac{-35x^6}{(-5x^2)}=B[/tex]

Now since both the numerator and denominator have negative sign the value of fraction will be positive.

[tex]\dfrac{35x^6}{(5x^2)}=B[/tex]

Now [tex]5\times 7=35[/tex] and [tex]x^{6-2}=x^4[/tex]

[tex]7x^4=B[/tex]

So, the missing factor [tex]B=7x^4[/tex]

PLEASE HELP ITS EASY MATH
Workers install 600 chairs at a constant rate. After 4 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?

Answers

Answer:

10

Step-by-step explanation:

Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.

So the will require 600 /60 =10 days from the start.

What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny Miller can paint it in 6 min, then how long would it take them working together?
If Ben can paint a single coat of the fence in 8 min, then how much of the fence could Ben paint in 1 min?

If Johnny can paint a single coat of the fence in 6 min, then how much of the fence could Johnny paint in 1 min?

If Ben and Johnny work together to paint a single coat of the fence, then let t represent the amount of time they each spend painting. What operation should be used to set up an equation that represents how long they would take to paint a single coat of the fence?

Solve the equation for t. How long will it take Ben and Johnny to paint the fence? Round your answer to the nearest tenth of a minute.

Answers

Answer:

I'm confused on what it's asking

Step-by-step explanation:

What is the first step in solving this problem?
⅘ + ½ =

Answers

Answer:

Find the least common denominator, which is 10.

Setting both fractions up so that they have a common denominator

Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.

Answers

Answer:

Step-by-step explanation:

3.8-2.923

Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.

Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)

Answers

Answer:

[tex](x+4)^2+(y-8)^2=85[/tex]

Step-by-step explanation:

The standard equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

[tex](x-(-4))^2+(y-8)^2=r^2\\[/tex]

Simplify:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

[tex](-2+4)^2+(-1-8)^2=r^2[/tex]

Evaluate:

[tex](2)^2+(-9)^2=r^2[/tex]

Square:

[tex]4+81=r^2[/tex]

Add:

[tex]r^2=85[/tex]

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Substituting 85 for r squared, we get:

[tex](x+4)^2+(y-8)^2=85[/tex]

And we have our equation.

If f(x) = 10, find x.

Answers

Plug in 10 for f(x)
10 = 3x - 2
Add 2 for both sides
3x = 12
X = 4
f(x)=3x-2=10

then adding 2 to both sides gives 3x=12. dividing both sides by 3 returns x=4.

Henry has a faulty watch. It is losing minutes every day. How many minutes will be lost after 7 days?
A.
21 minutes
B.
10 minutes
C.
3 minutes
D.
34 minutes

Answers

A I think this is the answer but I’m not sure

Answer:

A: 21 minutes

Step by step explanation:

If he loses 3 minutes everyday then it would be A because 7 days times 3 minutes he loses everyday equals 21 minutes.

What is the gfc of 24 and 36

Answers

Answer:

6 is the gfc

Step-by-step explanation:

hope this helped :-)

Answer:

it is -

Step-by-step explanation:

Can someone help me with this question please !!! Danica is saving money to buy a used car in six months. She needs to save $1500 for a down payment in order to be able to finance the rest. She gets paid $180 per week at her part-time job. How much money will she need to save out of every weekly paycheck to reach her savings goal of $1500 in six months? Show the calculations:

Answers

Answer:

She will have to work at least 83 times.

Step-by-step explanation:

Divide 1,500 by 180 and then to check answer multiply 180 with 83.


[tex] |15 - 4| [/tex]
PLEASEEEEE HELPPP ​

Answers

Answer:

11

Step-by-step explanation:

15-4=11

|11|=11

Remember that the lines mean absolute value, so whatever the answer is, it will be positive.

15-4=11 therefore, the absolute value pf this is 11.

12 x 3.4x - 5.4x - x

Answers

Answer:

34.4x

Step-by-step explanation:

Answer:

34.4x

Step-by-step explanation:

40.8x-6.4x=34.4x

Seth's family plans to drive 220 miles to their vacation spot they would like to compare the drive in 4 hours

Answers

Answer:

i think the answer is 55.

Step-by-step explanation:

220 divided by 4 = 55.

Answer:

i don t think i completely understand but they drive 55 miles every hour

Step-by-step explanation:

if this is not your question plz clarify so i can help :)

The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 2 ft shorter than twice the Maple Street side. The Maple Street side is 12 ft shorter than half the Main Street side. The Main Street side is 210 ft.

Answers

Answer:

Step-by-step explanation:

1. 93

2.184

Need help ASAP! If IN=2x+10 and AT=26, find x.

A.) 12
B.) 10
C.) 6
D.) 8

Answers

Answer:

X=8

The three lines means that IN and AT are equal so IN must equal 26. 2(8)=16 and 16+10=26


PLEASE HELP ME ASAP

Solve for x in the diagram below

Answers

Answer:

x=12

Step-by-step explanation:

The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12

Answer:

[tex]\huge\boxed{\sf x = 12}[/tex]

Step-by-step explanation:

6x - 2 + 20 = 90     [Complementary Angles]

6x + 18 = 90

Subtracting 18 to both sides

6x = 90 - 18

6x = 72

Dividing both sides by 6

x = 12

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Which of the following statements about the congruent triangles below is true?

A.) AB=DE
B.) AC=EF
C.) AC=DE
D.) BC=DE

Answers

Answer:

AB=DE

Step-by-step explanation:

they're literally the only pair on the same sides lol

The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have two triangles shown in the picture.

As we know from the definition of the congruent triangle, the same size, and shape.

The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle

Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.

Learn more about the congruent triangle here:

brainly.com/question/12413243

#SPJ5

can someone please help me?? i’ll make you a brainliest.

Answers

Answer:

-4/1

Step-by-step explanation:

Answer:

i;m pretty sure your answer is -4/1

Step-by-step explanation:

i hope this helped you

Paula has 10 forks and 15 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Paula can stock?

Answers

Answer:

that answer is 5 hope you get it right

Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...

Answers

Answer:

12

Step-by-step explanation:

[tex]a_{n-1}=12\\\\

Plug\: n = n + 1\\\\

a_{n+1-1}=12\\\\

\huge \red {\boxed {a_{n}=12}} \\\\[/tex]

 (-2, -3)and (-5, -3) ?​

Answers

Answer:

slope is zero equation is y=-3

Step-by-step explanation:

since there is no change in y and they cancel out so you just 0.

a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why

answer and i’ll make your brainliest

Answers

Answer:

yes it will be able fit through

Step-by-step explanation:

simply divide 2197 and 3 because you need to multiply 3 number to get volume. For this you divide by 3. you should get 732 ft. This is the height. It will be more than enough to fit through

Multiply. Express each product in lowest terms.
1:4/5x 1/
I NEED HELP ILL GIVE BRAINLIEST

Answers

0.8! Not very sure what the / after the 1 is, but here you go if you need to multiply 4/5 by 1!

what are the solutions to the equation |2x+8|-14?

Answers

Answer:

Step-by-step explanation:

Factor out the common term 2.

|2(x+4)|-14∣2(x+4)∣−14

Evaluate -8 - 21.
-10
-16
16
10

Answers

Answer:

Evaluate -8 - 21.

-10

-16

16

10

Entrance to a skatepark costs $6 per vehicle, plus $2 per person in the vehicle.

Is the relationship between the number of people and the total entrance cost a proportional relationship? EXPLAIN HOW YOU KNOW.

Hint: Create a table to organize the information.​

Answers

Answer:

Yes, it is a proportional relation ship because 6 and 2 are equivalent to each other.

Step-by-step explanation

PLEASE ANSWER I AM ON A TIMED TEST
What value of b will cause the system to have an
infinite number of solutions?
y = 6x - b
-3x+ 1/2=-3
b =
A 2
B 4
C 6
D 8

Answers

I think is c if is right can u mark me brainless please

Becca made 2 trays of rolls and biscuits. Each tray had 12 rolls and 6 biscuits. How many total rolls and biscuits did Becca make? helppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Becca made 24 rolls and 12 biscuits

Step-by-step explanation:

Becca will have 24 rolls and 12 biscuits on the tray.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

Becca made 2 trays of rolls and biscuits.

Since in 1 tray there are 12 rolls and 6 biscuits.

Number of rolls in 2 tray = 2(12) = 24 rolls

Number of biscuits in 2 tray = 2(6) = 12 biscuits.

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

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