1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vaselesa [24]
3 years ago
13

Elizabeth is baking oatmeal cookies . A single batch used 3/4 teaspoons of vanilla. If Elizabeth is mixing the ingredients for s

ix batches at the same time , how many tablespoons of vanilla will she use?

Mathematics
2 answers:
Rus_ich [418]3 years ago
6 0
First do 3/4 times 5 = 15/4 teaspoons 

Then divide that by 3 to get tablespoons. Dividing by 3 is the same as multiplying by 1/3 so 
15/4 • 1/3 = 15/12 = 5/4 = 1 1/4 tablespoons.
GrogVix [38]3 years ago
6 0
So let's convert some stuff...
3/4 of teaspoon is equal to 0.75
Now since you want Elizabeth wants to make 6 batches of cookies you need to multiply 0.75 with 6 to get a number of teaspoons that need to be mixed.
0.75 \times 6 = 4.5
So Elizabeth need 4.5 of vanilla teaspoons in her mix.
You might be interested in
The table gives the costs for organizing Field Day at a Middle School. Thirty-two students will attend the event.
I am Lyosha [343]
Total cost for all events is 554.88
6 0
3 years ago
Help me pls im begging yall​
stich3 [128]

Answer:

9.75

Step-by-step explanation:

20h = 195

h = 195/20

h = 9.75

Answer: $9.75/hour

7 0
3 years ago
Read 2 more answers
Factor:
nekit [7.7K]

Answer:

a) (7\cdot m^{6}+4)\cdot (7\cdot m^{6}-4)

b) (7\cdot a\cdot b^{8}+1)\cdot (7\cdot a\cdot b^{8}-1)

c) a = 0.7\cdot t^{9}

d) There are two possible answers only considering real coefficients:

(i) 16\cdot x^{2}-81 = (4\cdot x +9)\cdot (4\cdot x - 9)

(ii) 14\cdot x^{2}-81 =(\sqrt{14}\cdot x+9)\cdot (\sqrt{14}\cdot x - 9)

e) (a^{3}+4)\cdot (a^{3}-4)

Step-by-step explanation:

Now we proceed to solve each algebraic equation:

a) Factor 49\cdot m^{12}-16

This binomial is of the form a^{2}-b^{2} = (a+b)\cdot (a-b). In this case, we can rewrite and factor the equation below:

49\cdot m ^{12}-16

(7\cdot m^{6})^ 2-4^{2}

(7\cdot m^{6}+4)\cdot (7\cdot m^{6}-4)

b) Factor 49\cdot a^{2}\cdot b^{16}-1

This binomial is of the form a^{2}-b^{2} = (a+b)\cdot (a-b). In this case, we can rewrite and factor the equation below:

49\cdot a^{2}\cdot b^{16}-1

(7\cdot a\cdot b^{8})^{2}-1^{2}

(7\cdot a\cdot b^{8}+1)\cdot (7\cdot a\cdot b^{8}-1)

c) Nicole is factoring 0.49\cdot t^{18}-25 by using the rule a^{2}-b^{2} = (a+b)\cdot (a-b). What will she use for the value of a?

From this rule we find that a^{2} = 0.49\cdot t^{18}, that is:

a^{2} = 0.49\cdot t^{18}

a^{2} = \frac{49}{100}\cdot t^{18}

a = \frac{7}{10}\cdot t^{9}

a = 0.7\cdot t^{9}

d) Which binomial is a difference of squares?

A binomial is a difference of square if and only if a^{2}-b^{2} = (a+b)\cdot (a-b). There are two possible answers only considering real coefficients:

(i) 16\cdot x^{2}-81 = (4\cdot x +9)\cdot (4\cdot x - 9)

(ii) 14\cdot x^{2}-81 =(\sqrt{14}\cdot x+9)\cdot (\sqrt{14}\cdot x - 9)

e) Factor a^{6}-16

This binomial is of the form a^{2}-b^{2} = (a+b)\cdot (a-b). In this case, we can rewrite and factor the equation below:

a^{6}-16

(a^{3})^{2}-4^{2}

(a^{3}+4)\cdot (a^{3}-4)

6 0
3 years ago
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
4 years ago
Rock jaw spends a total of $80 each week for karate lessons in ballet lessons if the amount spent on karate lessons increases $1
algol [13]

Answer:

4

Step-by-step explanation:

3 0
4 years ago
Other questions:
  • In a church wing with 8 men and 10 women members find the probability that a 5 member committee chosen randomly will have.......
    8·1 answer
  • The manager of a store is stacking boxes for a display. There are 18 boxes on the bottom row. Each successive row has one less b
    12·2 answers
  • Please help!!!!!!!! this is worth 60 points!!!!!!
    6·1 answer
  • About how many suvs were sold in 2009
    13·1 answer
  • Is -1.125 a real number?
    13·2 answers
  • What is the result of converting 6 inches into centimeters? Remember that 1 inch = 2.54 centimeters.
    5·1 answer
  • Danny is at a car show. The show has 5 trucks,3electric cars,6sport cars,4hybrid cars. if the vehicles are randomly arranged, Wh
    15·1 answer
  • Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical va
    6·1 answer
  • HELP ASPCA PLZ
    8·2 answers
  • A girl get n cedis pocket money money each week. she saves her money for five weeks and buys a present for her mother which cost
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!