One cookie recipe calls for 2/3 cups of sugar another recipe calls for 1 1/4 cups of sugar. How many cups of sugar are needed in both recipes?
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Answer:

a^ (5/2)

Step-by-step explanation:

a^5 ÷ a ^ (5/2)

We know that x^b ÷ x^c = x^ ( b-c)

a^ ( 5 - 5/2)

a^ ( 10/2 - 5/2)

a^ (5/2)

Answer:

[tex]a^{\frac{5}{2} }[/tex]

Step-by-step explanation:

Using exponent rules, if we have [tex]a^x \div a^y[/tex] then the result can simplify to [tex]a^{x-y}[/tex]

So [tex]a^5 \div a^{\frac{5}{2}}[/tex] is the same as [tex]a^{5 - \frac{5}{2}}[/tex].

[tex]\frac{5}{1} - \frac{5}{2} = \frac{10}{2} - \frac {5}{2} = \frac {5}{2}[/tex]

So [tex]a^{\frac{5}{2}}[/tex].

Hope this helped!

Answer:

5 units

Step-by-step explanation:

The area of a parallelogram is given by the formula:

[tex]A=bh[/tex]

Where b is the base and h is the height.

So we know that the area is 15. We can also see that the base is 3. Thus:

[tex]15=3h[/tex]

Divide both sides by 3:

[tex]h=5[/tex]

So, the height is 5 units.

Answer:

h=3 units

Step-by-step explanation:

Equation for finding the area of a parallelogram:

b·h=area

Equation for this answer:

3·h=15

So divide 15 by 3 and you will get your answer.

15÷3=5

So the answer is:

3·5=15

Answer: 5

Step-by-step explanation: 2 baskets containing 18 each= 36 -10 rotten apples = 26 +4 apples= 30 divided by 6 friends is 5 each

Step-by-step explanation:

Two baskets containing 18 apples = 36

and 10 apples are rotten = 36 - 10 = 26

and you add 4 more apples = 26 + 4 = 30

again,

you divide among 6 friends = 30 ÷ 6 = 5

Therefore, 5 apples each!

Answer:

16+5.6..to solve it yiu will have to put it like this...

16.0+5.6=21.6.

21.6+0.681=22.281.

On simplifying we get the answer as 22.281

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here, the expression is 16 + 5.6 + 0.681​ =22.281

Hence, on simplifying we get the answer as 22.281

Learn more about the BODMAS rule here:

https://brainly.com/question/29795897

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Answer:

Step-by-step explanation

That's the answer

The position of the √6 on the number line is slightly right of the 2.4.

We need to determine the approximate location of √6 on the number line.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

In the general conclusion,

√4< √6 < √9

2 < √6 < 3

So, the value of the √6 lies between 2 and 3.

√6 = 2.445

So the position of the √6 on the number line is slightly right of the 2.4.

Thus, the position of the √6 on the number line is slightly right of the 2.4.

Learn more about number line here:

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Answer:

y = 4

Step-by-step explanation:

If two triangles are similar then,

i)  Corresponding angles will be equal

ii) Corresponding sides will be in the same ratio.

[tex]\frac{AC}{EF}=\frac{CB}{FD}\\\\\\\frac{12}{y}=\frac{15}{5}\\\\[/tex]

Cross multiply,

12*5 = y*15

y*15 = 12*5

[tex]y=\frac{12*5}{15}\\[/tex]

y = 4

Answer:

∠DEF = 60

x = 11.4

y = 4

Step-by-step explanation:

Step 1: State what is known

The question tells us that Triangle ABC is similar to Triangle EFD, We know similar angles share the same angles and the sides are similar to the corresponding side

Step 2: Find the unknown angle

Because we know the triangles are similar we need to find ∠BAC to solve for 'z'

z = 180 - 55 - 65

z = 60

Step 3: Find the unknown side with the ratio

We know 1 pair of sides BC and DF and it gives us a ratio of BC : DF or 3 : 1

We can set the ratios equal to an unknown side to solve:

3 : 1 = 12 : y

We can multiple 3 : 1 by 4 to get the 'y'

12 : 4

y = 4

3 : 1 = x : 3.8

We can multiple 3 : 1 by 3.8 to get 'x'

11.4 : 3.8

x = 11.4

Therefore ∠DEF = 60, side x = 11.4 and side y = 4

Answer:

4p - 7 = 13

Step-by-step explanation:

The first step of the solution should be to simplify the left side by combining like terms. In this case, 3p and p are the like terms and 3p + p = 4p so the answer is 4p - 7 = 13.

Answer:

4p - 7 = 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

A.) Let z be the variable denoted for the total cost of all kitten supplies. Then, let x be the number of bottles and let y be the number of cans. The equation would be:

z = 3.99x + 1.50y

The coefficients are 1 for z, 3.99 for x and 1.50 for y.

There are no constants.

The variables are z, x and y.

Part B.) Substitute x=30 and y=120 to the equation in part A to determine z.

z = 3.99(30) + 1.50(120)

z = $299.7

Part C.

Sales tax would be 7% of the total cost. This would be added as a constant. The expression would be:

z = (3.99x + 1.50y)(1+0.07)

Substituting x=30 and y=120,

z = (3.99*30 + 1.50*120)(1+0.07)

z = $320.679

Answer:

2(y−1)(x−3)

Step-by-step explanation:

Factor 2xy−2x+6−6y

2xy−2x−6y+6

=2(y−1)(x−3)

hey the square root is 20

Answer:

20.37

Step-by-step explanation: caculated!!

Answer:

18

Step-by-step explanation:

I am assuming you meant 8r-rs, in this case:

Plug in r=6 and s=5:

8(6)-(6)(5)

8*6 = 48 and -6*5= -30

Thus,

48-30= 18

Answer  78

Step-by-step explanation:

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

bbbbbbbbb

Answer:

first one is -1 and the second question that comes up is 1, 2, and 6

Step-by-step explanation:

edge 2020

Answer:

2x + 8

Step-by-step explanation:

Step 1: Write out expression

2x + 5 + 3

Step 2: Combine like terms (only constants here)

5 + 3 = 8

2x + 8

Answer:

2x + 8

Hope this helps!

Answer:

slope:  1 /8

y-intercept:  ( 0 , − 1 /4 )

Answer:

mn = 3.5 unit

Step-by-step explanation:

Given:

mn = x+1 unit

nr = 3x unit

mr = 11 unit

Find:

mn

Computation:

mr = mn + nr

11 = x+1 + 3x

11-1 = x + 3x

10 = 4x

x = 10/4

x = 2.5 unit

So,

mn = x+1 unit

mn = 2.5+1 unit

mn = 3.5 unit

Answer:

Step-by-step explanation:

1999/1000

Answer:

1999/1000

please mark me a brainlist

Answer:

Hey there!

If he has already stopped five times for water, he has run 5(3.25), or 16.25 miles.

He has 26.2-16.25, or 9.95 more miles to run.

Let me know if this helps :)

Answer:

9.95 miles

Step-by-step explanation:

How many times he stopped × number of miles before break = total miles that has been run.

3.25 × 5 = 16.25

26.2 - 16.25 = 9.95 miles.

Answer:

The markup for the shoes is 20 percent.

Step-by-step explanation:

Answer:

[tex]T_n = \frac{2^na}{2}[/tex]

Step-by-step explanation:

Given

Bacteria splits to 2 at every 20 minutes

Required

Explain how to get the resulting number of bacteria

To do this we simply make use of geometric progression formula;

[tex]T_n = ar^{n-1}[/tex]

In this case; r = 2 (rate at which they split);

[tex]T_n = a * 2^{n-1}[/tex]

a represents the initial number of bacteria in the dish

Apply law of indices

[tex]T_n = a * \frac{2^n}{2^1}[/tex]

[tex]T_n = a * \frac{2^n}{2}[/tex]

[tex]T_n = \frac{2^na}{2}[/tex]

Assume, we want to determine the number of bacteria at the 10th 20 minutes (in other words, 200 minutes), the value of n will be 10

Answer:

5

Step-by-step explanation:

Answer:

The prime factors of 30 are 2 x 3 x 5. The prime factors they have in common are 3 x 5. 3 x 5 = 15. The greatest common factor is 15

The greatest common factor of 35 and 15 is 5. The 'greatest common factor' is sometimes called the 'GCF.

Greatest Common Factor (GCF) of two numbers

the factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40, and the factors of 50 are 1, 2, 5, 10, 25 and 50.

Step-by-step explanation:

Answer:  650 miles

Step-by-step explanation:

If it takes 5 hours to go from Paris to Geneva and a train is travelling at 130 miles per hour then multiply the total number of miles per hour by 5 to find how many miles you will have to travel from Paris to Geneva.

130 * 5 =  650

Answer:

h is independent variable

Step-by-step explanation:

The value of d depends on h. Therefore h is independent variable.

Answer:

a 64°

b 116°

c 116°

d 64°

e 108°

f 72°

g 108°

h 72°

i 108°

j 108°

k 108°

m 105°

n 79° = opposite angle

p 90° = 180-90=90

q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64.  180-64=116

s 72°

t 119°

Step-by-step explanation:

a 64°

b 116°

c 116°

d 64°

e 108°

f 72°

g 108°

h 72°

i 108°

j 108°

k 108°

m 105°

n 79° = opposite angle

p 90° = 180-90=90

q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64.  180-64=116

s 72°

t 119°

Answer:

d = 64°

c = 180° - 64° = 116°

a = 64°

b = 180° - 64° = 116°

m = 180° - 75° = 105°

t = 180° - 61° = 119°

f = 180° - 108° = 72°

g = 108° = e

h = 180° - 108° = 72°

i = j = g = 108°

k = i = 108°

s = 180° - 108° = 72°

n = 79°

p + n + 75° + q = 360° (their vertices form a quadrilateral)

--> q = 360° - 90° - 79° - 75° = 116°

(i see that n,p,q don't have any special relationships at all but i'm not sure about that, sorry)

Answer:

No  real solution

Step-by-step explanation:

First off I'm assuming that the 1 or -1 at the begging is just the problem number:

First you distribute on both sides

36 - 18x - 3 = 4 - 18x + 30

Then combine like terms

33 - 18x = 34 - 18x

Then rearrange the terms by adding 18x to both sides and subtracting both sides by 33. You should get:

0 = 1

When you add positive 18x it cancels the -18x out. And 34 - 33 is 1. Obviously, zero cannot equal 1 so there is no real solution

Answer:

3/4<5/2<2.71

Step-by-step explanation:

3/4<5/2<2.71

Answer:

5/2, 2.71, 2 3/4, 5/2

Step-by-step explanation:

This is because (5/2) is equal to 2.5

and 2.71 is equal to 2.71

then (2 3/4) is equal to 3.75

and finally 5 is just 5, so then you put them in order (Least to Greatest) and then you revert them back to their original form.

hope this helps.

Answer:

a. Linear

A linear line is straight.

Answer:

100

Step-by-step explanation: