ULT ma
4. Write an expression, then evaluate.
a. 1/4of the sum of 18 and 6

Answers

Answer 1

Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]

Result: [tex]\dfrac{17}{2}[/tex]

Step-by-step explanation:

Given phrase:  [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]

Required expression: [tex]\dfrac14\times(18+16)[/tex]    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]

Hence,     [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]  


Related Questions

2) The sum of two number is 27. The difference of the numbers is 15. Which represents
one of the numbers
A) 26
B) 4
C) 22
D) 6

Answers

Answer:

6 because 6+15=21 and 21+6=27

2x^2+2y^3-6xy + 2x^2+5y^3+12xy

Answers

Answer:

4x^2 + 7y^3 + 6xy

Step-by-step explanation:

2x^2+2y^3-6xy + 2x^2+5y^3+12xy

2x^2 + 2x^2 = 4x^2

2y^3 + 5y^3 = 7y^3

-6xy + 12xy = 6xy

Brenda needs to solve the system of linear equations below for her homework assignment. y = 9x – 70 y = 2x – 32 Which is a reasonable estimate of the solution to this system of linear equations?

Answers

Step-by-step explanation:

We have y = 9x - 70 and y = 2x - 32.

=> 9x - 70 = 2x - 32

=> 7x = 38

=> x = 38/7 which is around 5.43.

Answer:

Equations are :--- y = 9x – 70 and y = 2x – 32

Substituting the value of y, we get

[tex]9x - 70 = 2x - 32 \\ 7x = 38 \\ x = \frac{38}{7} \\ \boxed{x = 5.43} \\ y = 9x - 70 \\ y = 9( \frac{38}{7} ) - 70 \\ \boxed{ y = - 21.14}[/tex]

James and Terry open a savings account that has a 2.79% annual interest rate,

compounded monthly. They deposit $500 into the account. How much will be in the

account after 20 years?

Answers

Answer:

The answer should be $279 If im right if not sorry

Step-by-step explanation:

500 x 2.79% x 20 = 279

find the value of 3x-2 when x = 4

Answers

Step-by-step explanation:

3x-2 when x=4

3(4)-2

12-2

=10

Charlotte bought 16 songs. three-fourths of the songs are pop songs. How many songs are Pop Songs?

Answers

Answer:

12

Step-by-step explanation:

hope it helps!!!! good luck!!!!

Answer:

12

Step-by-step explanation:

You take 16 divided 4 and get 4 then 3/4 is 4*3

Which one should I choose

Answers

Answer:

i believe its 9 too

Step-by-step explanation:

plsplsplspls answer this ):

Answers

Answer:

f(x)=x

Step-by-step explanation:

if its on center (0,0) with no add on then its like that. if it was f(x)= x+2 it would be elevated by 2 points. hope this helps!

The answer is the first one (A). Good night

A butterfly starts at 20 m and changes -16 m?

Answers

Answer: 4m

Step-by-step explanation:

20-16= 4

add units

20m - 16 m= 4m

4 is the answer you subtract

what is a dynamic Rectangle ? ​

Answers

Answer:

A dynamic rectangle is a right-angled, four-sided figure (a rectangle) with dynamic symmetry.

Step-by-step explanation:

Aspect ratio (width divided by height) is a distinguished value in dynamic symmetry, a proportioning system and natural design methodology described in Jay Hambidge's books.

Answer:

A dynamic rectangle is a right angled four sided with dynamic symmetry

Which grows faster as x increases, x³ or 3^x? Explain.​

Answers

Answer:

exponential functions are always the quickest to grow

3^x

Step-by-step explanation:

Which system of linear inequalities is represented by the
graph?
+ 3 and 3x - y> 2
O y2x+3
Oy23x+3 and 3x –y> 2
O yzx-
Oy2x+3 and 2x-y> 2
(+ 3 and 3x + y > 2
-2

Answers

Answer:

first choice: y≥1/3 x+3 and 3x-y>2

Step-by-step explanation:

The system of linear inequalities is: [tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]

The orange line

The equation of the orange line is calculated using:

[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{3- 4}{0-3} \times (x -3) + 4[/tex]

[tex]y = \frac{- 1}{-3} \times (x -3) + 4[/tex]

[tex]y = \frac{1}{3} \times (x -3) + 4[/tex]

Open the bracket

[tex]y = \frac{1}{3}x -1 + 4[/tex]

[tex]y = \frac{1}{3}x + 3[/tex]

The inequality has a thick line, and the upper region is shaded.

So, the inequality is:

[tex]y \ge \frac{1}{3}x + 3[/tex]

The gray line

The equation of the gray line is calculated using:

[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{4- 1}{2-1} \times (x -1) + 1[/tex]

[tex]y = \frac{3}{1} \times (x -1) + 1[/tex]

[tex]y = 3 \times (x -1) + 1[/tex]

Open the bracket

[tex]y = 3x -3 + 1[/tex]

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

The inequality has a dotted line, and the right region is shaded.

So, the inequality is:

[tex]y < 3x -2[/tex]

Rewrite as:

[tex]3x -2 > y[/tex]

So, we have:

[tex]3x -y > 2[/tex]

Hence, the system of linear inequalities is:

[tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]

Read more about system of inequalities at:

https://brainly.com/question/9774970

Simplify the following 3x²y⁴ × 2x⁶y

Answers

Answer:

6xpower 8 y power 7

Step-by-step explanation:

11.
There are 731 Lego pieces in
each set. A case contains 144
sets of Legos. How many Lego
pieces are in a whole case?

Answers

105,264 Lego’s in a case (please give brainlist)
Answer is 587
Because 731 - 144






I really need help on this :(

Answers

Dilation means to increase the size of something.  We can see that the radius of the circle increases by five from circle one to circle two; therefore the rule applied is:

(x, y) -> (x + 5, y + 5)

Done
AA
savvasrealize.com
46 astigment
ratiquent is past 6 (01/09/21 116
Design An art class is making a mural for their school which has a triangle drawn in the middle. The
length of the bottom of the triangle is x. Another side is 5 more than three times the length of the
bottom of the triangle. The last side is 3 more than the bottom of the triangle. Write and simplify an
expression for the perimeter of the triangle.
What is the expression for the perimeter of the triangle?
(Simplify your answer.)

Answers

Answer:

Expression for perimeter of triangle = 5x+8

Step-by-step explanation:

Given that:

Length of bottom of triangle = b = x

Length of other side = a = 3x + 5

Length of last side = c = x + 3

Perimeter of triangle = a + b + c

Perimeter = (3x+5)+x+(x+3)

Perimeter = 3x+5+x+x+3

Perimeter = 5x + 8

Hence,

Expression for perimeter of triangle = 5x+8

5(9+d) -6 when d=3 hjvbvb

Answers

Hey there!

If d = 3 then substitute where “d” is at, now let’s work out the equation!

5(9 + 3) – 6

• DISTRIBUTE:

5(9) + 5(3)

5(9) = 45

5(3) = 15

• NEW EQUATION:

45 + 15 – 6

45 + 15 = 60

60 – 6 = 54

Answer: 54 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

SIDE NOTE:

You could use PEMDAS to solve this as well.

Here’s what it means ⬇️

• Parentheses

• Exponent

• Multiplication

• Division

• Addition

• Subtraction

5(9+3)-6
5(12)-6
60-6
54

Please give brainliest!!

Write an equation of the line that
passes through (-1,2) with a slope
of 4​

Answers

Answer:

y = 4x - 6

Step-by-step explanation:

(1, -2) ; Slope (m) = 4

Equation of the line : y - y₁ = m(x - x₁)

y - [-2] = 4(x - 1)

y + 2 = 4x - 4

     y = 4x - 4 - 2

     y = 4x - 6

2 = 4(-1) + b
2 = -4 + b
+4 +4
6 = b

Your equation is y=4x + 6

The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line. (3.10)​

Answers

B pretty sure !!! Hope you get it right

The chart below shows conversion between gallons in fluid ounces what is the missing value in the table?

Answers

Answer:

768

Step-by-step explanation:

a gallon = 128 fluid ounces so 6 gallons would be 768 fluid ounces

Answer:

Step-by-step explanation:

In ΔNOP, o = 720 inches, ∠P=163° and ∠N=16°. Find the length of n, to the nearest 10th of an inch

Answers

Answer:

11371.4

Step-by-step explanation:

delta math

The length of n is 11373.1 inches

What is triangle?"It is a polygon having three sides, three vertices.""The sum of all angles of triangle is 180°"

For given example,

As we know for ΔNOP,

[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]

We know that the sum of all angle of triangle is 180°

For ΔNOP,

⇒ ∠N +∠O + P = 180°

⇒ 16° + ∠O + 163° = 180°

⇒ ∠O = 180 - 179

⇒ ∠O = 1°

The length of n is,

[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]

Therefore, the length of n is 11373. 3 inches

Learn more about triangle here:
https://brainly.com/question/20521780

#SPJ2

The graph shows the amount of water in a bathtub starting at 10:00 pm. Select all true statements.


A) The tub was filling faster at 10:14 pm than at 10:01 pm.




B) At 10:06 pm, the tub was neither filling nor draining




C) The maximum amount of water in the tub was about 35 gallons.



D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm.



E) It took 4 minutes for the tub to drain.



PLZ I NEED HELP

Answers

Answer:

A, B, and C

Step-by-step explanation:

The true statements are B, C and E.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a graph of the amount of water in a bathtub with respect to time.

A) This statement means that the slope of the line at 10 : 01 pm is smaller than that of at 10 : 14 pm.

The line is steeper at 10:01 pm than that at 10:14 pm. That is the tangent of the angle making with the x axis at 10:01 pm is higher than that at 10:14 pm.

So the tub is filling at a faster rate at 10:01 pm than at 10:14 pm.

B) At 10:06 pm, the amount of water is constant at 30 gallons. So this statement is correct.

C) The maximum amount of water in the tub was about 35 gallons is a correct statement since after that the tub was draining.

D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm is not correct, since the water was draining during the time and thus, water was decreasing.

E) It took 4 minutes for the tub to drain. It is correct since the draining starts at 10:16 pm and ends at 10:20 pm.

Hence the correct statements are B, C and E.

Learn more about Slope here :

https://brainly.com/question/3605446

#SPJ2

What is the equation of the line that has a slope of 0 and a y-intercept of -2/3

Answers

Answer:

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

from

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

Step-by-step explanation:

since the gradient of the line is 0

$700 is invested for a year. If the yearly interest rate
is 4.5%, how much interest is earned in one year?

Answers

Answer:

the interest amount is $31.50

Step-by-step explanation:

700 multiplied by 0.045 =31.5

A jar has one red, one orange, one yellow, one green, one blue, and one purple marble in it. Wha
probability of selecting a purple marble?

Answers

the probability would be

1 in 6, 1/6, or 1:6

Choose as many answers as apply.

Some things you may be able to borrow from the public library for free include:

audio tapes or CDs
sports equipment
video tapes for your VCR
magazines and books

Answers

Answer:

Hello, Your answer is Audio tapes/ CDS, Magazines and books

Sports equipment is something you Will Not find In the library.

Most librarys Do Not have VCR tapes

Hopes this helps

answer :

audio tapes or CD's  

video tapes for your VCR

magazines and books

sports equipment

help me pls it’s due today

Answers

Answer:

Step-by-step explanation:

i divide all by 4

=-(5z+6)=-5z-6

-5z-6 hope this helpsss

please help asap!:) Thank you!​

Answers

Answer:

(f + g)(3) = 9

Step-by-step explanation:

Given:

f(x) = x² + 1

g(x) = x - 4

Required:

(f + g)(3)

SOLUTION:

✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:

f(3) = (3)² + 1 = 9 + 1

f(3) = 10

✔️Find g(3) by substituting x = 3 into g(x) = x - 4:

g(3) = 3 - 4

g(3) = -1

✔️Find (f + g)(3):

(f + g)(3) = f(3) + g(3)

= 10 + (-1)

= 10 - 1

(f + g)(3) = 9

PLEASE HELP Find the common difference in a arithmetic sequence and the next three terms Numbers: 20,10,0,-10,_,_,_

Answers

Answer:the common difference is 10

The answer is -20,-30,-40

Step-by-step explanation:

What Is the area of a rectangular board whose dimensions are 1.67 m by 9.35 m?

Answers

Answer:

15.6145 meters squared

Step-by-step explanation:

multiply the 2 together

Answer:

15.6145

Step-by-step explanation:

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