The ratio of oil vinegar in a certain salad dressing is 8:5. How much oil must be blended with 7 liters of vinegar for that recipe?

Answer + explanation:

Part 1: First, find the area of one triangle using the formula base * height / 2. You have base = 10 and height = 7, so area = 7 * 10 /2 = 70/2 = 35. Since you're finding the combined area of 4, you have to do 35 * 4 = 140.

Part 2: To do this, find the side length of the square. Looking at the picture, you see that all you have to do is 10 + 7 = 17 to find one side. Then, to find the area do 17 * 17 = 289.

Part 3: To find the area of the small square, all you do is area of the large square - combined area of 4 small triangles, so 289 - 140 = 149.

Part 4: a^2 = 7 * 7 = 49. Then, b^2 = 10 * 10 = 100. Adding them together, you get 100 + 49 = 149.

Part 5: Since you already have the a^2 + b^2 part, all you need to do is find what c^2 is. You can see in the picture that c^2 equals the area of the small square, which you found in part 3. c^2 = 149. Then, you have 149 and 149, which are equal so the answer is =.

Answer:

The sum is 5/y+5

if you click on the image it will show you the answer to.

Answer:

x/ y = k

Step-by-step explanation:

It can also be written in forms like-

x= ky

y= x/ k

-------------------

x/y = k

(here k is constant )

Answer:

Step-by-step explanation:

1. 13n+15

2. 12n+18

3. 18n+12

Answer: Y=3X-2

Step-by-step explanation:

First you are gonna need to combine all like factors.

1+2y=6x-3 (subtract 1 from both sides)

2y=6x-4

Then you need to get the y by itself.

2y=6x-4 (divide all terms by 2)

y=3x-2

now you are in slope intercept form (y=mx+b)

Answer:

689 / 1000 is the answer

Step-by-step explanation:

zzzzzzzzzzzzz

Answer:

4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(4 x 2)/2 + (4 x (6-2))/2 = 12

Answer:

hI!!

Y = 5/2

Step-by-step explanation:

Let's solve your equation step-by-step.

12y=30

Step 1: Divide both sides by 12.

12y/12 30/12

Answer:

AD = 12

Step-by-step explanation:

Find the diagram attached

From the given diagram, it can be inferred that;

AB = AD+DB and AD = DB

AB = AD + AD

AB = 2AD

AD = AB/2

Given that AB = 24

AD = 24/2

AD = 12

Hence the length of AD is 12

Answer: 10

Step-by-step explanation:

I got it right after trying the answer of 12 on CAOLA

Answer:

Formula: V = a^3

a = 2in

Input: V = a^3 = 2^3 = 8

Step-by-step explanation:

Answer:

4 shows

Step-by-step explanation:

The theater has 7 cinemas and all of them has capacity of 98 seating. The theater offers discount before 4.00 and there it runs 3 shows before 4 pm in each cinema, after 4.00 pm the theater has capacity of running 4 more shows in each cinema without discount on the tickets.

Answer:

65/72

Step-by-step explanation:

Given that ∠T=90° then the triangle ΔRST is  a right angled triangle. Considering ∠S, RT is the opposite side, TS is the adjacent side and RS is the hypotenuse side. Using the notation

SOH CAH TOA

Tan ∠S = 72/65

Hence the cotangent of ∠S which is the inverse of the tangent will be

= 65/72

Answer:

-x²-8x+6

Step-by-step explanation:

Given the polynomial expression

2x²+7x+ 6 and 3x² – X

Taking their difference

2x²+7x+ 6  - (3x² – X)

2x²-3x²+7x+x+6

-x²-8x+6

Hence the required difference is -x²-8x+6

Answer:

-x²+8x+6

Step-by-step explanation:

Ape-x

Answer:

D) 6 in x 4 in

Step-by-step explanation:

3" x 2" scaled up to 1:20 would be 60" x 40"

60" x 40" scaled back to 1:10 would be 6" x 4"

also the scale factor 1:20 is double the scale factor of 1:10

Answer:

1/125 cm^3

Step-by-step explanation:

Given data

Length of one side = 1/5cm

Required

The volume of the cube

We know that

V= l^3

substitute

V= (1/5)^3

V= 1/125cm^3

Hence the volume is 1/125 cm^3

Answer:

3 times as many pounds

Step-by-step explanation:

7.2 / 2.4 = 3 times as many pounds

Hope that helps!

Answer and explanation:

Probability= number of favorable outcomes/ total number of outcomes

Probability of selecting an employee who is female= number of female employees/ total number of employees

Probability of selecting an employee who is female= 150/200

Probability of selecting an employee who is under 30= number of employees under 20/ total number of employees

Probability of selecting an employee who is under 30 = 40/200

Probability of randomly selecting an employee who is female and under the age of 30= Probability of selecting an employee who is female × Probability of selecting an employee who is under 30

Probability of randomly selecting an employee who is female and under the age of 30= 150/200×40/200=15/20×4/20=3/20= 0.15

Therefore there's a 15% chance of selecting an employee who is female and under the age of 30

Answer:

Tenemos 3 formas de escribir cada intervalo, una es con solo texto, la otra es usando los símbolos { <, >, ≤, ≥ }, y la última es con intervalos, donde:

( se usa para " < x "

) se usa para " > x "

[ se usa para  " ≤ x "

] se usa para   " ≥ x "

a) -2 ≤ x ≤3

Esto se escribe como:

"números mayores o iguales que -2 y menores o iguales que 3"

y

[-2, 3]

b) Números mayores que –1

Las otras formas de escribir esto son:

-1 < x

y no tenemos limite mayor, entonces:

(-1, ∞)

con -∞ y ∞ siempre se usan los símbolos ( o )  

c) (–[infinity], –5]  

Las otras notaciones son:

"Un numero menor o igual que -5"

x ≤ -5

d)  Números mayores o iguales que –7 y menores que 19

Las otras notaciones son:

-7 ≤ x < 19

[-7, 19)

e) Números mayores que 9 y menores que 5.

Las otras formas de escribir esto son:

5 < x < 9

(5, 9)

Answer:

[tex]y=3*1.04^{t}[/tex]

in 2029

Step-by-step explanation:

[tex]y=3*1.04^{t}[/tex]

[tex]when y=5\\t=\frac{ln(5/3)}{ln(1.04)} =13.02 ..[/tex]

have to round it up to 14 to exceed

Answer:

2 6/7

Step-by-step explanation:

i divided

Answer:

I can not see it

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

A. The doctors will give Charlie an operation

Step-by-step explanation:

Answer:

hope this helps!

Step-by-step explanation:

Answer:  the volume is 1/12 ft³

Step-by-step explanation:

Multiply the area of the base times the height:

1/8 × 2/3 = 2/24 or 1/12

the ft² times ft becomes ft³

So the volume is 1/12 ft³

Answer:

The decimal form for this is 0.27 (With a line on top of it.)

Step-by-step explanation:

See this image:

Answer:

It's gotta be either A or B because C and D don't even make up a square.

I believe that it's one of those ( A or B).

Step-by-step explanation:

Sorry I couldn't help you all the way through to the answer. Hope this helps though! :)

Answer:

D

Step-by-step explanation:

1/2 ( 2x - 6) = -6

1/2 = 0.5

0.5(2x-6) = -6

1x-3=-6

1x=-6+3

x=-3/1

x=-3

Answer:

380 miles

Step-by-step explanation:

First, find 62% of 1,000:

1,000 • .62 = 620 miles

Next, subtract 620 from 1,000:

1,000 - 620 = 380 miles

The family had traveled 380 miles before Kiran fell asleep