Mathematics High School

A box of ground nutmeg weighs 1 1/3 ounce. If there are 20 teaspoons of nutmeg in the box, how much does one teaspoon of nutmeg weigh?
1/15 ounce
1/20 ounce
1/60 ounce
4/3 ounce

Answers

Answer 1
We can find out what the answer is by dividing the weight in ounces with the number of teaspoons.

1 1/3 = 4/3
(4/3)/20 = 4/60
4/60 = 1/15

The answer is 1/15 ounce
Answer 2

we know that

a) A box of ground nutmeg weighs [tex]1 1/3[/tex] ounces

b) There are [tex]20[/tex] teaspoons of nutmeg in the box

Step 1

Convert mixed number to an improper fraction

[tex]1\frac{1}{3} \ ounces= \frac{1*3+1}{3}= \frac{4}{3}\ ounces[/tex]

Step 2

By proportion

Find the weight of one teaspoon

[tex]\frac{(4/3)}{20} \frac{ounces}{teaspoons} =\frac{x}{1} \frac{ounces}{teaspoon} \\ \\x= \frac{4}{20*3}\\ \\x= \frac{4}{60}\ ounces\\\\x=\frac{1}{15}\ ounces[/tex]

therefore

the answer is the option

[tex]\frac{1}{15}\ ounces[/tex]

Related Questions

Which of the following expressions are equal to the one below?
(8+7) x 11

A. 8+ (7x11)
B. 11 x (8+7)
C. 8 x 11 - 7 x 11
D. 11 x 7 + 11 x 8

Answers

D. 11 x 7 + 11 x 8 Hope that helps!
D is the correct answer, using the distributive property.

a rectangeler field is twice as long as it is wide a golf cart travrling at 12 miles per hour takes 7.5 minutes to travel the perimeter of the field what is the length (in miles) of the field

Answers

25 meters of 34 feet in the air of the miles so its 27 miles

Find the equation of a circle in standard form where C(6, -2) and D(-4, 4) are endpoints of a diameter. ...?

Answers

The equation of a circle is in the form:
x² + y² = r²; where r is the radius.
We find the diameter using the distance formula:
D = √[(-4 - 6)² + (4 + 2)²]
D = 2√(34)
r = D/2 = √(34)

x² + y² = [√(34)]²
x² + y² = 34

What does x equal

8=3+x/-6

Answers

First, we need to isolate the x by removing the 3 from the x.

8=3+x/-6
8-3 = 3-3+x/-6
5 = x/-6.

Then you remove the -6 from the x and since it is being divided by x we multiply it
5 x -6 = x/-6x-6
-30 = x
So x = -30 
Step 1. Move the negative sign to the left

[tex]8=3- \frac{x}{6} [/tex]

Step 2. Subtract 3 from both sides

[tex]8-3=- \frac{x}{6} [/tex]

Step 3.  Simplify 8 - 3 to 5

[tex]5=- \frac{x}{6} [/tex]

Step 4. Multiply both sides by 6

[tex]5 * 6= -x[/tex]

Step 5. Simplify 5 * 6 to 30

[tex]30=-x[/tex]

Step 6. Multiply both sides by -1

[tex]-30=x[/tex]

Step 7. Switch sides

[tex]x=-30[/tex]

Done! :) Hope this helps!

What unit of measurement would Guatemalans typically use to measure the weight of flour?

Answers

In general, Guatemalans also use the metric system, but also some traditional units of measurement (that come from Spain) and influence from US English units. Among the Guatemalan units of measurement some are based on old Spanish units. The libra, arroba, quintal and garrafón units of weight and volume. Guatemalans use also measures like spoons and cups. Therefore, when they weigh the measure of flour, they are using either the ibra, arroba, quintal and garrafón units. Hope this helps.
Guatemalans use grams to measure the weight of flour.

The following is a correspondence one is
A.{(a,1),(b,1),(c,1)}
B.{(1,a),(2,c),(3,d)
C.{(1,b),(2,c),(3,b)
D.{(a,b),(c,d),(b,d)

Answers

I'm assuming you meant to say "one-to-one"

If so, then the answer would be choice B.{(1,a),(2,c),(3,d)

This is because each input leads to a different output and the outputs are different all across the board. In the other choices, the outputs repeat themselves at least twice which means they are not one-to-one functions. 

The measures of each exterior angle in a regular hexagon is (4x + 15)°. Find the value of x. Show equations and all work that leads to your answer.

...?

Answers

Sum of exterior angle of a polygon is 360°
A regular hexagon has 6 equal exterior angles.
6(4x + 15) = 360
4x + 15 = 360/6 = 60
4x = 60 - 15 = 45
x = 45/4 = 11.25
x = 11.25

i need work shown write .569 as a percent

Answers

To write .569 as a percent you have to remember that 1 equals 100% and what you need to do is just to multiply the number by 100 and add at the end symbol %
therefore the answer is .568 * 100 =56.9%
.569as a percent equals 56.9%

Solve the problem. Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9% annually. If Susan's investment amounts to $19,000 and the annual income is $1590, how much money is invested in bonds and how much is invested in certificates of deposit? a. $13,500 in bonds; $5500 in certificates of deposit b. $5500 in bonds; $13,500 in certificates of deposit c. $13,000 in bonds; $6000 in certificates of deposit d. $6000 in bonds; $13,000 in certificates of deposit
...?

Answers

Final answer:

Susan invested $6,000 in municipal bonds and $13,000 in certificates of deposit. For the bond investment scenario, given the increase in market interest rate to 9%, you would pay less than $10,000 for the bond. The calculation shows you would be willing to pay approximately $9,724.77.

Explanation:

To solve Susan's investment problem, we can set up a system of equations using the information provided in the problem. Let x be the amount invested in municipal bonds and y be the amount invested in certificates of deposit (CDs). We can then set up the following equations:

x + y = $19,000 (Total investment amount)

0.07x + 0.09y = $1,590 (Total annual income from investments)

Now, we solve the system of equations. Multiplying the second equation by 100 to get rid of decimals:

7x + 9y = 159,000

Next, we can multiply the first equation by 7 to help us eliminate one variable:

7x + 7y = 133,000

Subtracting the modified first equation from the second equation:

9y - 7y = 159,000 - 133,000

2y = 26,000

y = $13,000

Using y = $13,000 in the first equation:

x + 13,000 = 19,000

x = $6,000

Therefore, Susan invested $6,000 in municipal bonds and $13,000 in certificates of deposit.

Regarding the bond investment scenario:

a. Since the market interest rate has risen to 9%, higher than the bond's 6% interest rate, you would expect to pay less than $10,000 for the bond.

b. To calculate the price you would be willing to pay, you need to find the present value of the expected payment from the bond one year from now:

The expected payment is $10,000 (the face value) plus $600 (the final interest payment), which totals $10,600.

Using the market interest rate of 9%, the present value (PV) formula is:

PV = Payment / (1 + market interest rate)

PV = $10,600 / (1 + 0.09)

PV = $10,600 / 1.09

PV ≈ $9,724.77

Therefore, you would be willing to pay approximately $9,724.77 for the bond.

can someone explain how to find two positive numbers such that their product is 192 and the sum of the first plus three times the second is a minimum?

Answers

Let the two numbers be y and x, then
xy = 192
y = 192/x
dy/dx = -192/x^-2 . . . (1)

Sum (S) = y + 3x
If the sum is minimum, then
dS/dx = dy/dx + 3 = 0
dy/dx = -3

From (1), -192/x^2 = -3
3x^2 = 192
x^2 = 192/3 = 64
x = sqrt(64) = 8
y = 192/8 = 24

The two positive numbers are 8 and 24.

A heart beats 8 times in 3 seconds.About how many times will a cats heart beat in 2 minutes

Answers

first figure out how many 3 seconds are in 1 minute = 20 then double = 40 
then mulitpity 40x8= 240 
  the answer is 240 beats in 2 minutes 

2 1/7 into a improper fraction

Answers

it would be (2 x 7) + 1

as an improper fraction it would be 15/7

hope this helps you
It's is 15/7.
2x7=14
14+1=15
The. Put that over the original denominator

Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana that Tommy eats.

Write an equation to describe this situation where x is the number of bananas Tommy eats and y is the total number of pieces of fruit the monkey eats.

Answers

Monkey to Tommy = 2:1
x = (y-4)/2
y = 2x + 4

For x, we must first work out the amount of bananas the monkey eats by subtracting the total amount of fruit by the amount of apples, giving us the amount of bananas - them dividing that number by 2 as the ratio is 2:1.

For y, we double x which is our amount of bananas that tommy eats as the ratio is 2:1 them add on the amount of apples which is 4.

Answer:

The required equation is : [tex]2x+4[/tex]

Step-by-step explanation:

Tommy's monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana that Tommy eats.

Let Tommy eats x bananas, then the monkey eats 2x bananas.

Then, the required equation will be :

[tex]2x+4[/tex]

in DEF DE=17 m angle =32 Find DF nearest tenth

Answers

Since we are asked to find DF, and we are given an angle and the side opposite to it, we can use the sine function to find DF.
let x be the length of side DF.

sin(32)= 17/x
x= 17 / sin(32)
x= 32.08

approximately 32.1

Answer:

(A) 32.1

Step-by-step explanation:

It is given that in ΔDEF, DE=17 and m∠F=32, thus

Using the trigonometry, we have

[tex]sinx=\frac{Perpendicular}{Hypotenuse}=\frac{DE}{DF}[/tex]

⇒[tex]sin32^{\circ}=\frac{17}{DF}[/tex]

⇒[tex]DF=\frac{17}{sin32^{\circ}}[/tex]

⇒[tex]DF=\frac{17}{0.529}[/tex]

⇒[tex]DF=32.1[/tex]

Therefore, the value of DF is 32.1.

Hence option A is correct.

in the decimal number .98703, the 0 holds what place value

Answers

Answer:

it is in the 10 thousansth place.

Step-by-step explanation:

.98703

9=10nth place

8=100th place

7=thousandth place

0=ten thousandth place

3=hundred thousandth place

I hope this helps.

alice leaves her house and walks to school she walks 45 meters south and 336 meters east. how far is Alice from her house?

Answers

What i did is used Pythagorean theorem and did A2+B2=C2

so 336squared+45squared=Csquared

112896+2025=114921
C=114921
the square root of C=339
so diagonally from her house to the point of 45south and 336east is 339meters  

Alice's distance from her home is 339 meters.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Alice leaves her house and walks to school she walks 45 meters south and 336 meters east.

We can write the Alice's distance from her home as -

{x} = √(45)² + (336)²

{x} = √(2025 + 112896)

{x} = 339 meters

Therefore, Alice's distance from her home is 339 meters.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

#SPJ6

1000 millimeters equals what =

Answers

I don't know what you want 1000 milliliters to be equivalent to so ill give u a small list. Hope this helps.

1000 millimeters equals:
0.001 kilometers
1 meter
100 centimeters
1e+6 Micrometers
1e+9 Nanometers
0.000621371 Miles
1.09361 Yard
3.28084 Feet
39.3701 Inches
0.0005399570950324 Nautical Miles

(only subject im bad at) What is the Least Common Denominator (LCD) of 7/8 and 1/6 ?

Answers

24 because 8 times 3 is 24 and 6 times 4 is 24. It is the smallest number both can be multiplied by a number to get 24.

Write the equation of a line in slope-intercept form from the graph below.
Write the equation of a line in slope-intercept form from the graph below.

Answers

y=x

Slope of 1, y-intercept of (0,0)

y=1x+0...same as the initial answer

Answer: Y=x or y=1x

Step-by-step explanation:

Slope of 1  y-intercept of (0,0)

Harry’s team has won 13 less than 6 times as many games as it has lost. The team lost n games. What expression could you use to find the number of games the team has won?

Answers

Number of games won = 6n - 13 

My math homwork is asking me for the word form and the expanded form for 3.4 and 2.51,and i don't understand this. we just started it today and she my teacher gave us 3 pages of the math.

Answers

3.4:
the word form would be three and four tenths
the expanded form would be :
3.0 = 3
0.4 = .4
2.51:
the word form would be two and fifty one hundredths
the expanded form would be 2.00 + 0.50 + 0.01

hope this helps you

For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to make a snowman. If the bottom ball is 3 feet across, the middle ball is 2 feet across, and the top is 1 foot across, how much snow is needed to build the whole snowman? Round your answer to the nearest cubic foot.
A)
19 cubic feet of snow
B)
31 cubic feet of snow
C)
511 cubic feet of snow
D)
1022 cubic feet of snow ...?

Answers

Answer:

A

Step-by-step explanation:

Final answer:

To find the amount of snow needed to build the snowman, we need to calculate the volume of each ball and then add them together. The total volume is 18.84 cubic feet, rounded to 19 cubic feet.So,Option A.19 cubic feet of snow is correct.

Explanation:

To find how much snow is needed to build the whole snowman, we need to calculate the volume of each ball and then add them together. The volume of a sphere can be found using the formula V = (4/3) * pi * r³, where r is the radius of the sphere.

The bottom ball has a diameter of 3 feet, so the radius is 3/2 = 1.5 feet. The volume of the bottom ball is (4/3) * 3.14 * (1.5³) = 14.13 cubic feet.

The middle ball has a diameter of 2 feet, so the radius is 2/2 = 1 foot. The volume of the middle ball is (4/3) * 3.14 * (1³) = 4.19 cubic feet.

The top ball has a diameter of 1 foot, so the radius is 1/2 = 0.5 feet. The volume of the top ball is (4/3) * 3.14 * (0.5³) = 0.52 cubic feet.

The total volume of the snowman is 14.13 + 4.19 + 0.52 = 18.84 cubic feet. Therefore, the answer is 19 cubic feet of snow.

If i drove 34 times over a 7 mile bridge. how many miles in all did i drive?

Answers

7 * 34 =
Miles times amount = 
238 miles in total.

Hope this helped!
To figure out this answer, you need to multiply 34 by seven.  This results in 238 miles in all. I hope this helps! :)

How much of the circle is shaded? Write your answer as a fraction in simplest form?

Answers

Shaded area = 1 - Un-shaded area
S. area = 1 - (1/2 + 1/7)
S. area = 1 - (7+2) /14
S. area = 1 - 9/14
S. area = 5/14

So, your final answer is 5/14

Hope this helps!

Answer:

[tex]5/14[/tex]

Step-by-step explanation:

Let

x-----> the shaded area

we know that

[tex]x+\frac{1}{7}=\frac{1}{2}[/tex]

solve for x

Multiply by [tex]14[/tex] both sides

[tex]14x+2=7[/tex]

[tex]14x=7-2[/tex]

[tex]14x=5[/tex]

Divide by [tex]14[/tex] both sides

[tex]x=5/14[/tex] ----> fraction irreducible

What is the product? enter your answer as a fraction, in simplified form, in the box. −1/4⋅(−6/11)?

Answers

(−1/4)⋅(−6/11)=(3/22)

yeah it would be 3/11 i just did the test

Express x in terms of the other variables in the diagram below:

Answers

From the diagram below , x = t ( r - h ) / h

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenusecos ∠A = adjacent / hypotenusetan ∠A = opposite / adjacent

There are several trigonometric identities that need to be recalled, i.e.

[tex]cosec ~ A = \frac{1}{sin ~ A}[/tex]

[tex]sec ~ A = \frac{1}{cos ~ A}[/tex]

[tex]cot ~ A = \frac{1}{tan ~ A}[/tex]

[tex]tan ~ A = \frac{sin ~ A}{cos ~ A}[/tex]

Let us now tackle the problem!

Look at ΔADE in the attachment.

We will use the following formula to find relationship between variable t and h:

tan ∠A = opposite / adjacent

[tex]\tan \angle A = \frac{DE}{AD}[/tex]

[tex]\large {\boxed{ \tan \angle A = \frac{h}{t} } }[/tex] → Equation 1

Look at ΔABC in the attachment.

We will use the following formula to find relationship between variable r , t and x:

tan ∠A = opposite / adjacent

[tex]\tan \angle A = \frac{BC}{AB}[/tex]

[tex]\large {\boxed{ \tan \angle A = \frac{r}{x + t} } }[/tex] → Equation 2

Next we can substitute equation 1 to equation 2 :

[tex]\tan \angle A = \frac{r}{x+t}[/tex]

[tex]\frac{h}{t} = \frac{r}{x+t}[/tex]

[tex](x + t)h = r ~ t[/tex]

[tex](x + t) = \frac{(r ~ t)}{h}[/tex]

[tex]x = \frac{(r ~ t)}{h} - t[/tex]

[tex]x = \frac{(r ~ t)}{h} - \frac{(h ~ t)}{h}[/tex]

[tex]\large {\boxed {x = \frac{t(r - h)}{h}} }[/tex]

Learn moreCalculate Angle in Triangle : https://brainly.com/question/12438587Periodic Functions and Trigonometry : https://brainly.com/question/9718382Trigonometry Formula : https://brainly.com/question/12668178

Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

What is the length of segment LM?

Answers

I hope this helps you

Answer:

Step-by-step explanation:

From the given figure, we have

[tex]KN=NM[/tex]

⇒[tex]14x-3=25[/tex]

⇒[tex]14x=28[/tex]

⇒[tex]x=2[/tex]

Also, a is the angle bisector of ∠KNM and also it bisects the side KM such that KL=LM, thus

[tex]KL=LM[/tex]

Also, [tex]KL=9x+5[/tex]

Substituting the value of x in the above equation, we get

[tex]KL=9(2)+5[/tex]

[tex]KL=18+5[/tex]

[tex]KL=23[/tex]

Therefore, [tex]KL=LM[/tex]

[tex]LM=23[/tex]

Thus, the value of the segment LM is 23.

if you drive your car constant speed of 45 miles per hour, how long will it take to travel 378 miles

Answers

distance=speeed times time
distance/speed=time
given
distance=378
sped=45mph


d/s=t
378/45=t
8.4=t
8.4 hours or 8 hours and 24 minutes

How do i write an akgebaric expression? Carrisa divided 40 grapes equally amoung f friends. How many grapes did each friend get?

Answers

total divided by number of friends=number of grapes each friend gets

40=total number
f=number of friends

[tex] \frac{40}{f}= [/tex]grapes per person

How many friends?

40

____

X

40/ x

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

When the water was 4 feet from the end of the hose, what was its height above the ground?

Answers

find f(4)
f(4)=-0.3(4^2)+2(4)
f(4)=-0.3(16)+8
f(4)=-4.8+8
f(4)=3.2

3.2ft above the ground

Answer:

3.2 feet


Step-by-step explanation:

The equation  [tex]f(x)=-0.3x^{2}+2x[/tex]  shows the height of water [[tex]f(x)[/tex]] and horizontal distance [[tex]x[/tex]].

Given the horizontal distance is 4 feet, they want to know the height.


Simply put 4 in [tex]x[/tex] of the equation and solve for [tex]f(x)[/tex]. So,

[tex]f(x)=-0.3(4)^{2}+2(4)\\f(x)=3.2[/tex]

So, the height of the water was 3.2 feet above the ground.

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