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masya89 [10]
3 years ago
9

Rose is making chocolate chip cookies for dessert the recipe for one batch of chocolate chip cookies calls for 2 1/2 cups of sug

ar. How many cups of sugar will Rose need to make 3 1/2 patches of cookies
Mathematics
1 answer:
lilavasa [31]3 years ago
3 0

Answer:

8.75 cups

Step-by-step explanation:

3.5:1 (the ratio of batches to 1 batch)

x:2.5 (the ratio of cups of sugar used to the amount used for only 1 batch)


3.5/1=x/2.5 (proportion)


x= 8.75

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Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio
maxonik [38]

Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions +  number of essay questions

Or, m + e = 26         .....A

Again

Total points for the 26 questions =  point for each multiple choice questions  ×  number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123          .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m -  3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴  m = \dfrac{85}{5}

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

∵ m + e = 26

Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

7 0
3 years ago
How do you solve 24=x•30
ollegr [7]
I Tired To Explain It As Best As I Could.

Isolate the variable by dividing each side by factors that don’t contain the variable.

24 = x • 30

Use The Commutative Property To Reorder The Terms

24 = 30x

Swap The Sides Of The Equations

30x = 24

Divide Both Sides Of The Equations By 30

30x ÷ 30 = 24 ÷ 30

Any Expression Divided By Itself Equals 1

x= 24 ÷ 30 or x =24/30

Reduce The Fraction With 6

x = 4/5

Exact Form:

x = 4/5


Decimal Form:

x = 0.8
5 0
3 years ago
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 ? 9x2 ? 108x + 2, [?3, 4]
SVEN [57.7K]
Assuming the question marks are minus signs
to find max, take derivitive and test 0's and endpoints

take derivitive
f'(x)=18x²-18x-108
it equal 0 at x=-2 and 3
if we make a sign chart to find the change of signs
the sign changes from (+) to (-) at x=-2 and from (-) to (+) at x=3
so a reletive max at x=-2 and a reletive min at x=3

test entpoints

f(-3)=83
f(-2)=134
f(3)=-241
f(4)=-190

the min is at x=3 and max is at x=-2
4 0
4 years ago
Solve for the missing side round to the nearest 10th (look at image)
SIZIF [17.4K]

Answer:

14.3

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

14^2 + 3^2 = c^2

196 + 9 = c^2

205 = c^2

Take the square root of each side

sqrt(205) = sqrt(c^2)

14.31782106 = c

Rounding to the nearest tenth

14.3 = c

3 0
2 years ago
Read 2 more answers
what do you think the sum of the probabilities for all the possible outcomes must be for any situation. explain
raketka [301]
Let's pose this question a different way: what are the chances that one out of all possible events is going to happen? What are the chances that, if I roll a die, I will roll a 1, 2, 3, 4, 5, or a 6? What is the probability, if I flip a coin, that the outcome will either be heads or tails? When we take every possible outcome and add their probabilities together, the sum of the probabilities will be 100%, or 1.

Example:
Coin Toss:
Prob of Heads (.5) plus Prob of Tails (.5) = 1
Dice roll: 
1/6 (odds of rolling any given number) times 6 (number of possibilities) = 1
4 0
3 years ago
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