adding and subtracting unlike fractions in word functions

A cupcake recipe calls for 1/4 tablespoons of salt and 1/8 tablespoons of vanilla. How many tablespoons of salt and vanilla are required? ​

Answer:

24

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

7^2 + b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49+b^2 -49 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24

Step-by-step explanation:

[tex]hypotenuse {}^{2} \: = base {}^{2} + \: perpendicular {}^{2} \: \\ \\ base {}^{2} = 25 {}^{2} - 7 {}^{2} \\ \\ base {}^{2} = 625 - 49 \\ \\ base {}^{2} = 576 \\ \\ base = \sqrt{576} \\ \\ base = 24 \\ \\ [/tex]

Answer: 56

Step-by-step explanation:

Answer:

200 grams

Step-by-step explanation:

Let us represent

The number of grams of

30% smarties = x

20% smarties = y

Hence:

x + y = 500

x = 500 - y

Hence:

30% × x + 20% × y = 24% × 500

0.3x + 0.2y = 120

Substitute 500 - y for x

Hence:

0.3(500 - y) + 0.2y = 120

150 - 0.3y + 0.2y = 120

Collect like terms

- 0.3y + 0.2y = 120 - 150

- 0.1y = -30

y = -30/0.1

y = 300

Solving for x

x = 500 - y

x = 500 - 300

x = 200

Hence,

The number of grams of

30% smarties = x = 200 grams

20% smarties = y = 300 grams

Therefore:

the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams

[tex]\boxed{c.\:n\:=\:18}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢ n = \frac{6 \times 42}{14} \\ ⇢ n = \frac{252}{14} \\ ⇢ n = 18[/tex]

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex] \frac{6}{n} = \frac{14}{42} \\ ⇢  \frac{6}{18} = \frac{14}{42} \\ ⇢  \frac{1}{3} = \frac{1}{3} \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Answer:

I think n=0 because

-9-9=n

0=n also as n=0

Answer:

(7, 5)

Step-by-step explanation:

(5,12)

x : 5 + 2 = 7

y : 12 - 7 = 5

(7,5)

The value of (x, y) --> (7, 5).

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Given point is (5,12)

We have to solve for

(x,y) --> (x + 2, y - 7)

Now put x=5 in x+2

x = 5 + 2

= 7

and, y= 12 in y-7

y = 12 - 7

= 5

Hence, (x, y) --> (7, 5).

Learn more about ordered pair here:

https://brainly.com/question/11740961

#SPJ2

Answer:

A and F

Step-by-step explanation:

Given

Intersecting lines

Required

The vertical and congruent angles

The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G

Comparing angles A, B, E and F; we have:

[tex]\angle A = \angle F[/tex] --- Vertical opposite angles

[tex]\angle B = \angle E[/tex] --- Vertical opposite angles

From the given options,

[tex]\angle A = \angle F[/tex] is true

Answer:

Street art can help us commute more interesting. It can make people cheerful surprised and happy. Street art is a form of artwork

Step-by-step explanation:

y u put this in math subject when this isn't even math?

Answer:

it will be opened but if it's for the < and > with a line underneath each of them, the circle with be closed

Answer:

2

Step-by-step explanation:

Answer:

Is it deposition

Step-by-step explanation:

435.6

mark me brainliestt pls :)))

Answer:

73.5

Step-by-step explanation:

Step 1: 21/2 divided by 2 = 21/4

Step 2: 21/4 times 21/4 times 8/3 =

Answer: 73.5

The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.

Answer:

45%

Step-by-step explanation:

Counting the marbles, there are 5 green, 6 blue and 9 red.

Which means the odds of drawing a red to a non red are 11:9

In fraction form that would be 9 marbles out of 20 are red. 9/20

Since the fraction cannot be simplified, we can go to decimal form.

9/20=.45

.45=45%

The answer is 45%.

Answer:

45%

Step-by-step explanation:

Total = 20

Red = 9

9/20 = 0.45

Therefore 45 % is the correct option :))

Answer:

400

Step-by-step explanation:

12.50times 32

Answer:

1/2

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

7/7 = 1

56/7 = $8

Answer:

vertex = (3, 2 )

Step-by-step explanation:

The vertex is the turning point of the graph.

This occurs at (3, 2 ) ← vertex

Answer:

The vertex is at (3, 2)

Step-by-step explanation:

Hello!

The vertex of a parabola is the point of turning, or the minimum/maximum point of the parabola.

Since the graph opens up, the vertex is at the minimum point.

The y-value is 2, and the x-value is 3, giving us the vertex of (3, 2)

There are other parts to parabola than just the vertex.

Standard form of a quadratic: [tex]ax^2 + bx + c[/tex]

Other parts include:

Answer:

4

Step-by-step explanation:

I don't really know how to show the steps, but one of the easiest ways to do this is to see how many times 0.8 goes into 3.2.  So 0.8 + 0.8 + 0.8 +0.8 = 3.2  So 3.2/0.8 is 4

Or you can multiply the numerator and denominator by 10, which keeps the value of the fraction but gets rid of pesky decimals: 32/8 this should be fairly straight forward and a key reason to memorize your times tables.  8*4=32

Answer:

x^2-1=48

x^2=48+1

x^2=49

x=[tex]\sqrt{49}[/tex]

x=7

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Formula is:

2(wl + hl +wh)

plug in values and calculate

Answer:

$1012993.2

Step-by-step explanation:

Given data

Cost of home V= $899,000

Rate of increase= 1%

Time= 12 years

The exponential growth function is expressed as

A=V(1+r)^t

A=899000(1+0.01)^12

A= 899000(1.01)^12

A= 899000*1.1268

A=$1012993.2

Hence the cost of the home will be $1012993.2

Answer:

y-intercept is -27

Step-by-step explanation:

Answer:

Look at the picture for the answer :D

Step-by-step explanation:

The x coordinate comes first, then the y.

The Object in question is a car, hence the type of insurance cover is

A. automobile insurance

Motor Vehicle Insurance

This is a type of insurance that car owners purchase to cover for damages that may occur to their vehicle.

There are basically two type of Vehicle insurance

Lear more about insurance of vehicle here:

https://brainly.com/question/25855858

Answer:

Renter's Insurance

Step-by-step explanation:

Answer:

p = 4n

p = 312 passengers

n = 19.5 cars

Step-by-step explanation:

Let

n = number of cars

p = number of passengers

a. p = 4n

b. p = 4n

Find p if n = 78

p = 4n

p = 4 * 78

p = 312 passengers

c. Find n if p = 78

p = 4n

78 = 4n

Divide both sides by 4

78 / 4 = 4n / 4

19.5 = n

n = 19.5 cars

Step 1: Find the slant height

10^2 + 28^2 = c^2

884 = c^2

c = [tex]\sqrt{884}[/tex]

Step 2: Find the lateral area

LA = pi * radius * slant height

LA = pi * 10 * [tex]\sqrt{884}[/tex]

LA (rounded to the nearest tenth) = 297.3pi in^2

Step 3: Find the area of the base circle

A = pi * r^2

A = pi * 10^2

A = 100pi in^2

Step 4: Add the areas together

SA = 297.3pi + 100pi

SA = 397.3pi in^2

Hope this helps!! :)

Answer:

49

Step-by-step explanation: