the ratio of red ribbons to green ribbons is 4 to 6 if there a total of 32 red ribbons then how many green ribbons are there?

Answers

Answer 1

There are 48 green ribbons

Solution:

Given that the ratio of red ribbons to green ribbons is 4 to 6

Which can be written in following way:-

[tex]\frac{\text {Red} r i b b o n}{\text {Green ribbon}}=\frac{4}{6}[/tex]

There are total number of 32 red ribbons

We have to determine the number of green ribbon

Let the number of green ribbon be ‘6a’

And number of red ribbons be "4a"

Given number of red ribbons = 32

4a = 32

a = 8

number of green ribbon = 6a = 6(8) = 48

Therefore number of green ribbons is 48

Answer 2

Final answer:

To find the number of green ribbons, the ratio of red to green is scaled to match the actual count of red ribbons. With 32 red ribbons and a ratio of 4:6, there are 48 green ribbons.

Explanation:

To solve the problem, we need to find out how many green ribbons there are when we know that the ratio of red ribbons to green ribbons is 4 to 6 and there are 32 red ribbons in total.

First, let's use the given ratio. Ratios can be scaled up by the same factor on both sides to represent actual quantities. So, if we have 4x red ribbons and 6x green ribbons, and we know 4x = 32, we can solve for x: x = 32 / 4 = 8. This means for every 8 red ribbons, there are 12 green ribbons since 6x = 6 × 8 = 48.

Therefore, if there are 32 red ribbons, there are (32 / 8) × 12 = 4 × 12 = 48 green ribbons.


Related Questions

x/5 +8=3 what would x be

Answers

Answer: x= -25

Step-by-step explanation:

Answer:

x=-25

Step-by-step explanation:

x/5 = 8 = 3 you would multiply both sides by 5

youd end up with x+40=15 then you would move the constan to the right

x=15-40 you would subtract 40 from 15

x=-25

Evaluate the expression when y = 4. 5 + y + 8


a.13
b.17
c.21
d.72

Answers

5 + y + 8 = 13+y
Therefore if why= 4 then 13+4=17 so the answer is b

Answer:

17 is the simplified answer.

Step-by-step answer:

Given that:

y = 4.

We have to evaluate:

=5 + y + 8

By putting value of y that is y =4 in above equation:

=5 +4 +8

=9 +8

=17

So 17 is simplified answer for this question.

I hope it will help you!

A company donated money to valley high school. The principal decided to evenly split the funds between the fifteen classes to spend on supplies. If $3,840 was donated, how much did each class get​

Answers

Answer:

$256

Step-by-step explanation:

Each class got $256. I know this because I did 3,840 divided by 15 which got me the CORRECT answer of $256

Answer:

$256

Step-by-step explanation:

if there was $3840 donated and theres 15 classes that need to get an even amount so you would do 3840÷15 to see how many times 15 can go in to 3840 to find the even amount of money each class should recieve which is $256

What is the y intercept of the equation y=4x+1

Answers

Answer:

+1

Step-by-step explanation:

The y-intercept is +1.

what is the solution to the linear equation - 12 + 3B -1 = -5 - b​

Answers

Step-by-step explanation:

3B+b=_5+12+1

4Bb=8

4Bb/4=8/4

Bb=2

Answer:

B = 2

Step-by-step explanation:

To solve the linear equation;

- 12 + 3B -1 = -5 - B

we will first collect like-term that is; we will make all the B variables to be on the left-hand side of the equation and all the constant to be on the right-hand side of the equation

( when -B cross over to the left-hand side of the equation,  B becomes positive, when -12 and -1 cross over to the right-hand side of the equation, they become positive 12 and 1)

3B + B  =   -5  +  12 + 1

4B   =  8

Divide both-side of the equation by 4 to get the value of B

4B/4  =  8/4

(on the left-hand side of the equation ,4 will cancel out 4 leaving us with B and 8 will be divided by 4 to give us 2)

B =  2

Therefore the solution to the linear of the equation is B = 2

I need to write an equation for y = mx + b, The numbers i have are 20-80 and 1-4

Answers

Answer:

y = 20x

m = 20 and b = 0

Step-by-step explanation:

For input values of x = 1, output value of y = 20 and for x = 4, y = 80.

Therefore, the equation of this relation can be written as  

[tex]\frac{y - 80}{80 - 20} = \frac{x - 4}{4 - 1}[/tex]

⇒ 3(y - 80) = 60(x - 4)

⇒ 3y - 240 = 60x - 240

y = 20x

Now, y = mx + b is the equation and hence, m = 20 and b = 0 and the actual equation is y = 20x. (Answer)

Through:(5,1), parallel to y =1/5x-4

Answers

If the line is parallel to y=1/5x-4, the line must have the same slope.

So, the slope of your line is 1/5.

Now we need to find the y intercept. We should use the point given.

y=mx+b

1=1/5(5)+b

b=0

Equation: y=1/5x

Answer:

y = (1/5)x

Step-by-step explanation:

y = mx+b

m= slope would be the same i.e. 1/5 , since it's parallel to the given equation.

y= 1

x= 5

Hence, let's look for the equation of this line of which the coordinate is provided!

1 = (1/5)(5) + b

1 = 1 +b

1-1 = b

b = 0

Hence the equation of this line is:

y = 1/5(x)

Hope this helps!

Mark brainliest of you think I helped! Would really appreciate!

Paula used these steps to solve an equation:
Step 1: -4(7 + 8) - 21 = 25
Step 2: -4r – 32 - 2x = 25
Step 3: -61 – 32 = 25
Step 4: -6x = 57
Step 5: x = -95
Between which two steps did Paula use the division property of equality?

Answers

Answer:

Between step 4 and step 5

Step-by-step explanation:

The Division Property of Equality states that when both sides of an equation are divided by the same nonzero number, both sides remain equal.

That is, if a, b, and c are real numbers such that a = b and c ≠0, then  

[tex]\frac{a}{c} = \frac{b}{c}[/tex]

At step 4: The equation was -6x = 57

To move to step 5, Paula had to divide both sides by the co-efficient of x (-6) in order to get the value of x. See below

[tex]-6x = 57[/tex] ---- Divide both sides by -6 (Step 4)

[tex]\frac{-6x}{-6} = \frac{57}{-6}[/tex] ---- (Intermediary between step 4 and 5)

[tex]x = -9.5[/tex] ----- Step 5

Hence, we can conclude that the division property of equality was done between step 4 and step 5

5a(-3b)(-2a^2b^3)
what is the answer to this question?

Answers

Answer:

(3•5•2a3b4)

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 -15ab • (0 -  (2a2 • b3))

Step  2  :

Multiplying exponential expressions :

2.1    a1 multiplied by a2 = a(1 + 2) = a3

Multiplying exponential expressions :

2.2    b1 multiplied by b3 = b(1 + 3) = b4

What is the following product? Square root y^3 * square root x^3

Answers

The product of two square roots is equal to the square root of the product, so the product of √y3 and √y3 is y3.

The equation is asking you to multiply the square root of y cubed by itself.

Based on the properties of square roots, if you multiply the square root of a number by itself, you get the original number.

This is because multiplication is the inverse operation for square roots. Meaning, it undoes the square root.

So, in this scenario, you are multiplying [tex]\sqrt{y^{3} }[/tex] * [tex]\sqrt{y^{3} }[/tex]which results in y^3.

Thus, the product of [tex]\sqrt{y^{3} }[/tex] and  [tex]\sqrt{y^{3} }[/tex]is y^3, assuming y≥0.

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Explain the difference between (-10) To the second power. And -10 To the second power.

Answers

Answer:

Basically when you use parantheses it protects that number from becoming negative...

-10^2 is -100 but with paranthesis is 100

Answer:

without the parenthesis it would just be 100 but with it, it would be -100 :)

Given 1+ cos x/ sin x + sin x/1+ cos x= 4, find a numerical value of one trigonometric function of x.

Answers

Answer:

The numerical value of the trigonometric function is 30 °

Step-by-step explanation:

Given trigonometric function as :

[tex]\frac{1 + cos x}{sin x}[/tex] + [tex]\frac{sin x}{1 + cos x}[/tex] = 4

or, Taking LCM we get

[tex]\frac{(1+cosx)^{2}+sin^{2}x}{(sinx)\times (1+cosx)}[/tex] = 4

Or,  ( 1 + cos x )² + sin² x = 4 × ( sin x ) × ( 1 + cos x )

1 + cos² x + 2 cox + sin² x = 4 sin x + 4 sin x × cos x

or, (  cos² x + sin² x ) + ( 1 + 2 cos x ) = 4 sin x ( 1 + cos x )

 ∵  cos² x + sin² x = 1

or,  1 + 1 + 2 cos x  = 4 sin x ( 1 + cos x )

or, 2 + 2 cos x = 4 sin x ( 1 + cos x )

or, 2 ( 1 + cos x ) = 4 sin x ( 1 + cos x )

Or, [tex]\frac{2 ( 1+ cos x )}{4 ( 1 + cos x )}[/tex] = sin x

Or, sin x = [tex]\frac{1}{2}[/tex]

∴  x = [tex]sin^{-1}\frac{1}{2}[/tex]

 ∵ sin 30 ° = [tex]\frac{1}{2}[/tex]

I.e  x = 30 °

Hence The numerical value of the trigonometric function is 30 °  answer

Answer: D. sin x= 1/2

Step-by-step explanation:

Edg 2020

If an account is increasing at a rate of 3.3% compounded semiannually, what is the exact value of in the following present value
ordinary annuity formula?
PV-P1-(1+1)*
a) 3.3
b) 0.033/100
c) 0.033/2
d) 0.33/2

Answers

Answer:

The correct answer is C. 0.033/2

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Annual interest rate = 3.3% compounded semiannually

2. Let's find the exact value of the rate:

Number of periods (n) = n/2, given that periods are semesters and not years

Annual interest rate (r) = 3.3% = 3.3/ 100 = 0.033

For using the correct value in the present value annuity formula, we also have to divide the annual interest rate because the interest is compounded semiannually or every six months, what it means:

0.033/2

The correct answer is C. 0.033/2

c. [tex]\frac{0.033}{2}[/tex]

on edgen

2x - (4x - 4) = 16 - 8
What is the answer

Answers

Answer:

X=-2

Step-by-step explanation:

PLUG IT IN HTE EQUATION BRAINLIEST PLZZZ

Answer:

x = - 2

Step-by-step explanation:

Given

2x - (4x - 4) = 16 - 8 = 8 ← distribute parenthesis and simplify left side

2x - 4x + 4 = 8

- 2x + 4 = 8 ( subtract 4 from both sides )

- 2x = 4 ( divide both sides by - 2 )

x = - 2

801,504 round to the nearest thousand​

Answers

Answer:

802,000

Step-by-step explanation:

The number in the thousands place is 1, and the number to the right of it is 5. And if the number to the right is greater than or equal to 5 the place value that you are rounding goes up by one.

What is the equation of a circle with center (1, -4) and radius 2?

A. (x-1)^2 + (y+4)^2 = 4
B. (x-1)^2 - (y+4)^2 = 4
C. (x-1)^2 + (y+4)^2 = 2
D. (x+1)^2 + (y-4)^2 = 4

Answers

Answer:

A) (x-1)^2+(y+4)^2=4

Step-by-step explanation:

Here's the equation of a circle with center and radius:

(x-h)^2+(y-k)^2=r^2 with the center being at the point (h, k)

and the radius being r.

(x-1)^2+(y-(-4))^2=2^2

(x-1)^2+(y+4)^2=4

The equation of a circle with center (1, -4) and radius 2 is (x-1)²+(y+4)²=4

The correct option is (A).

What is equation of circle?

The equation of circle represents the locus of point whose distance from a fixed point is a constant value. This fixed point is called the center of the circle and the constant value is the radius of the circle.

The standard equation of circle with center at (x1,y1)  and radius r is (x−x1)²+(y−y1)²=r².

We know equation of circle,

(x-a)²+(y-b)²=r²

Here, a=1, b=-4 and r=2

So,

(x-1)²+(y-(-4))²= 2²

(x-1)²+(y+4)²=4

Hence, the equation of circle is: (x-1)²+(y+4)²=4

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Please help!!!!!!!! The question is in the picture!

Answers

Answer:

D

Step-by-step explanation:

multiply out the top to get 6x - 4 + 2x - 2 = 8x - 6

next look at the 4 choices.

when we multiply out and combine only for the x term, only the bottom two give us 8x.

3/4 * 4x + 5 * x = 8x

3/4 * 4x + 1/6 * 30x = 8x

next we look at the bottom two for which one will give us -6, in this case only D will.

3/4 * -8 + 5 * 15 = 69

3/4 * -12 + 1/6 * 18 = -6

Basketball star Mumford (a six foot senior forward) places a mirror on the ground x ft. from the base of a basketball goal. He walks backward four feet until he can see the top of the goal, which he knows is 10 feet tall. Determine the how far the mirror is from the basketball goal. Justify your answer.

will give 5 stars and mark brainliest.

Answers

Answer:

6.67 feet

Step-by-step explanation:

The situation is as shown in the figure.

ON is the normal to the mirror at the point of incidence O

⇒ ∠BON = ∠DON = 90°

By the laws of reflection: angle of incidence = angle of reflection :

∠AON = ∠CON

⇒ ∠AOB = ∠COD

tan(∠AOB) = tan(∠COD)

⇒[tex]\frac{AB}{OB}[/tex] = [tex]\frac{CD}{OD}[/tex]

⇒[tex]\frac{6}{4}[/tex] = [tex]\frac{10}{x}[/tex]

⇒x = [tex]\frac{40}{6}[/tex] = [tex]\frac{20}{3}[/tex] = 6.67 ft

∴ Distance of the mirror from basketball goal is 6.67 ft

Final answer:

Using the principles of similar triangles, we determine that the mirror is 6 feet from the basketball goal by setting up a proportion between the heights and distances of the triangles formed by the goal and Mumford's line of sight. The mirror is 6 feet from the basketball goal.

Explanation:

To determine how far the mirror is from the basketball goal, we can use the principles of similar triangles. Basketball star Mumford is a six-foot-tall senior forward, meaning he is 6 feet above the ground. The basketball goal is 10 feet tall. If he walks backward four feet, and then he is able to see the top of the basketball goal, we can set up a proportion because the angles of incidence and reflection are equal.

Let's let x be the distance from the base of the basketball goal to the mirror. We then have two similar triangles to work with:

The large triangle with the height of the goal (10 feet) and the base x + 4 feet (distance from the goal to Mumford's eyes).

The smaller triangle with the height from Mumford's eyes to the ground (which is 6 feet because he's a six-foot-tall person) and the base x (distance from the goal to the mirror).

The proportion we set up is:

(Height of basketball goal) / (Distance from goal to Mumford's eyes) = (Height of Mumford's eyes from the ground) / (Distance from goal to the mirror)
10 / (x + 4) = 6 / x

Solving for x gives us the distance from the mirror to the basketball goal:

10x = 6(x + 4)

10x = 6x + 24

4x =24

x = 6

Therefore, the mirror is 6 feet from the basketball goal.

1. What is the definition of a function in algebra?
2. which one of the sets below is a function? Explain why.
(3,3) (4,4) (5,5) (6,6) (1,6) (2,6) (3,4) (2,8)
3. What is slope-intercept form?
4. In the equation y = -2x + 6 identify the slope and y-intercept
5. what is the slope and equation of a horizontal line and a vertical line?

Answers

1. The definition of a function is based on the concept of a mapping from one set to another, where each element in the domain has a unique image in the range. This is a fundamental concept in mathematics and is used to describe relationships that are deterministic in nature.

2. To determine if a set of ordered pairs is a function, one must ensure that no two ordered pairs have the same first component (x-value) and different second components (y-values). This is known as the vertical line test. If a vertical line can be drawn that intersects the graph of the relation at more than one point, then the relation is not a function.

3. The slope-intercept form is a standard form for linear equations that is particularly useful for graphing lines and for understanding the slope and y-intercept of the line. It is derived from the general form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.

4. In the given equation y = -2x + 6, the coefficient of x represents the slope, which is -2, indicating that for every 1 unit increase in x, y decreases by 2 units. The constant term, 6, represents the y-intercept, which is the value of y when x = 0.

5. A horizontal line has a slope of zero because there is no change in the y-value as the x-value changes. Thus, the slope, which is the ratio of the change in y to the change in x, is zero. The equation of a horizontal line is simply y = b, where b is the y-value of every point on the line.

A vertical line has an undefined slope because the change in x is zero (since x does not change), and division by zero is undefined in mathematics. The equation of a vertical line is x = a, where a is the constant x-value for every point on the line.

i need help with 7-10 plz help

Answers

Answer:

bro in Ur pictures there is no 7-10

Step-by-step explanation:

10-7 is 3 right so 7-10 is -3 it simple . but show me questions again because there is no 7-10 . Thank for ur asking me !

10 students per teacher. Write two ratios to represent this information

Answers

10 to 1
20 to 2 or something like that

4. A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent
change in the price?

Answers

120,000 + 30% = 156,000

. The function s(l) = 1.34 √l models the maximum speed s in knots for a sailboat with length l in feet at the waterline. a. Use the model to find the length of a sailboat with a maximum speed of 12 knots. Round to the nearest foot.

Answers

Answer:

The length of the sailboat is 80 feet.

Step-by-step explanation:

The function  

[tex]s(l) = 1.34 \sqrt{l}[/tex] ................ (1)  

models the maximum speed s in knots for a sailboat with length l in feet at the waterline.

So, using this model we have to find the length of a sailboat with a maximum speed of 12 knots.

Now, from equation (1) we get

[tex]12 = 1.34 \sqrt{l}[/tex]

⇒ [tex]\sqrt{l} = 8.955[/tex]

⇒ [tex]l = (8.955)^{2}  = 80[/tex] feet (Answer)

{The value is round to the nearest foot}

please solve much appreciated

Answers

Answer:

i) C; x=y= 80°, ii) B; x= 58°, iii) D; x= 62° and y= 56°, iv) D; none of these are correct.

Step-by-step explanation:

i) Full angle around is 360°

 As given one angle is 100°,which means vertically opposite angles are equal to 100°

Now, remaining angle is equal to [tex]360-200= 160°[/tex]

∵ x and y are vertically opposite angle, which means they are equal.

x=y= 80°

ii) As we know straight angle is equal 180°

  As given one of the angle is 32° and other says, it is a right angle which   is equal to 90°.

∴ ∠x= [tex]180-(90+32)= 58°[/tex]

∠x= 58°

iii) Full angle = 360°

2∠x = 124° (∵ Vertically opposite angle are equal )

⇒∠x= [tex]\frac{124}{2}[/tex]

∠x= 62°

∠x+∠x+∠y= 180° (∵ it is a straight angle)

2∠x+∠y= 180°

⇒[tex]124+ y= 180[/tex]

Subtracting both side by 124

⇒∠y= [tex]180-124= 56°[/tex]

∴∠y= 56°

iv) Full angle= 360°

∴ ∠x+22°+32°+51°= 360°

Subtracting both side by 105

∠x= [tex]360-105= 255°[/tex]

∠x= 255°

Which means none of the given option are correct.

The senior classes at High school A and High school B planned separate trips to New York city. The senior class at high school A rented and filled 1 van and 6 buses with 372 students, High school B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. how many students can a van carry? How many students can a bus carry?

Answers

Each van carried 18 students and each bus carried 59 students.

Step-by-step explanation:

Let,

students carried by one van = x

students carried by one bus = y

According to given statement;

x+6y=372   Eqn 1

4x+12y=780   Eqn 2

Multiplying Eqn 1 by 4

[tex]4(x+6y=372)\\4x+24y=1488\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](4x+24y)-(4x+12y)=1488-780\\4x+24y-4x-12y=708\\12y=708[/tex]

Dividing both sides by 12

[tex]\frac{12y}{12}=\frac{708}{12}\\y=59[/tex]

Putting y=59 in Eqn 1

[tex]x+6(59)=372\\x+354=372\\x=372-354\\x=18[/tex]

Each van carried 18 students and each bus carried 59 students.

Keywords: Linear equations, subtraction

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Each van carried 18 students and each bus carried 59 students.

Step-by-step explanation:

Let,

students carried by one van = x

students carried by one bus = y

According to given statement;

x+6y=372 Eqn 1

4x+12y=780 Eqn 2

Multiplying Eqn 1 by 4

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 12

Putting y=59 in Eqn 1

the formula d = 26t + 32.5 can be used to find the distance (d) between two cars after traveling (t) hours in opposite directions. How many hours will it take for the cars to be 117 miles apart?​
A: 0.5
B: 2.05
C: 3.25
D: 4.5

Answers

Answer:

C

Step-by-step explanation:

The formula given is:

[tex]d=26t+32.5[/tex]

Where

d is the distance between two cars

and

t is the time it takes

We want the time it takes (so we need t) for the cars to be 117 miles apart (this is the distance). Thus, it means:

d = 117

t = ???

We plug in 117 into d and solve the equation for t. Shown below:

[tex]d=26t+32.5\\117=26t+32.5\\117-32.5=26t\\84.5=26t\\t=\frac{84.5}{26}\\t=3.25[/tex]

So, it takes 3.25 hours

Correct answer is C

Final answer:

Using the formula d = 26t + 32.5 and setting d to 117 miles, we solve for t to find that it takes approximately 3.25 hours for the two cars to be 117 miles apart. The correct answer is C: 3.25.

Explanation:

To find out how many hours it will take for two cars to be 117 miles apart if they travel in opposite directions using the formula d = 26t + 32.5, we need to set d equal to 117 miles and solve for t.

First, we substitute 117 for d in the equation:

117 = 26t + 32.5

Next, we subtract 32.5 from both sides to isolate the term with t:

117 - 32.5 = 26t => 84.5 = 26t

Then we divide both sides by 26 to solve for t:

t = 84.5 / 26 => t ≈ 3.25

Hence, it will take approximately 3.25 hours for the cars to be 117 miles apart.

Thus, the correct answer is C: 3.25.

You find a car that costs $18,500. If the interest rate on a 5-year loan is 6.25% and you make monthly payments on the car, what is the total amount of interest that you will pay over the life of the loan?

Answers

The answer is $24,281.25.

5,069 round to the nearest tenth

Answers

Answer:

5,070

Step-by-step explanation:

Answer:

5069.0

Step-by-step explanation:

The tenth value is the value directly after the decimal point. In this case, the number given is a whole number, and so to find the tenth place value, add a decimal point and a 0 to the back.

~

i will give brainliest

Which expression represents the sequence below?
16, 24, 32, 40.....
an=4n+1 an=8n+8 an=8n+16

Answers

Answer:

[tex]a_n = 8n+8[/tex] represent the sequence 16,24,32,40...

Step-by-step explanation:

The sequence given is

16,24,32,40.

And the options given are

an=4n+1

an=8n+8

an=8n+16

We will check for all so as to find the correct expression.

In the given sequence the first term is 16,

i.e a1 = 16

1). We will check for an = 4n+1 whether the first term is 16 or not.

We will put the value of n as 1;

[tex]a_1= 4\times1+1= 4+1=5[/tex]

With this option we get the first term as 5 but in the given sequence first term is 16.

Hence this option is Incorrect.

2). We will check for an = 8n+8 whether the first term is 16 or not.

We will put the value of n as 1;

[tex]a_1= 8\times1+8= 8+8=16[/tex]

With this option we get the first term as 16 and in the given sequence also first term is 16.

Hence this option is correct.

3). We will check for an = 8n+16 whether the first term is 16 or not.

We will put the value of n as 1;

[tex]a_1= 8\times1+16= 8+16=24[/tex]

With this option we get the first term as 24 but in the given sequence first term is 16.

Hence this option is Incorrect.

Hence we can say that an = 8n+8 represent the sequence 16,24,32,40...

Which expression is equivalent to the one below?

- 1/2 ( 10 + 1/4 )

A) -5 - 1/4
B) -5 - 1/8
C) -5 + 1/8
D) -5 + 1/4


Answers

Answer:

C) -5 -1/8

Step-by-step explanation:

You need to use the distributive property.

1) ( - 1/2 x 10 ) + ( - 1/2 x 1/4 )

2) 10 / -2 = -5, and -1/2 x 1/4 = -1/8

3) Make them into one equation. -5 - 1/8 is the same as - 1/2 ( 10 + 1/4 )

Final answer:

The equivalent expression to -1/2(10 + 1/4) is -5 - 1/8. Simplify the expression by distributing the -1/2 and combining the results.

Explanation:

The expression given is: -1/2(10 + 1/4)

To simplify this expression:

Distribute the -1/2: -1/2 * 10 = -5 and -1/2 * 1/4 = -1/8

Combine the results: -5 - 1/8

Therefore, the equivalent expression is: -5 - 1/8 (Option B)

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