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Sloan [31]
1 year ago
14

Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?​

Mathematics
1 answer:
Mashutka [201]1 year ago
7 0

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three 4\frac{1}{2} oz cans and five 8\frac{1}{4} oz cans.

To find : How many ounces of tomatoes does Mark need?​

Solution :

Mark has three 4\frac{1}{2} oz cans.

i.e. 3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}

Mark has five 8\frac{1}{4} oz cans.

i.e. 5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}

Total ounces of tomatoes does Mark need is

T=\frac{27}{2}+\frac{165}{4}

T=\frac{54+165}{4}

T=\frac{219}{4}

T=54.75

Therefore, 54.74 ounces of tomatoes mark need.

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kondaur [170]

1 kilometer =5/3 week

Step-by-step explanation:

Given that the crew paves 3/5 kilometer of a road in 1 week then this can be written as;

3/5 k = 1 week

For 1 kilometer of a road,

3/5k = 1 week

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perform cross product as;/multiplication equation

1*1 / 3/5

1*5/3

5/3, 1 2/3 weeks

A division equation will be'

3/5 kilometers = 1 week

Divide both sides by 3/5

1 kilometer =5/3 week

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4 0
2 years ago
Difference of squares gives which complex factors for the expression x^2+13
Serga [27]

The Given Expression is : → x² + 13

  =  x² + (√13)²

=  x² - ( i √13)²  As , i²= -1 because , i = √-1

= (x - i√13)(x +√13)   → Using the formula , A² - B² = (A-B)(A+B)

Out of the four options Given : Option C →(x - i√13)(x +√13) is true regarding the expansion of function x² + 13.

7 0
2 years ago
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Let S(x) denote "x has a good attitude," where the domain is the set of people in the class. Express the negation of the proposi
user100 [1]

Answer:

See below

Step-by-step explanation:

Remember, we have two quantifiers, the existential quantifier ∃, and the universal quantifier ∀. The existential ∃ translates to English as "for some" or "there exists", whereas ∀ means "for all" or "every". We will also use the negation operator ¬.

First, let's write the proposition using quantifiers. "There is someone in this class who does not have a good attitude" translates to "(∃x)(¬S(x))". ∃x means that there exists a person in this class x. ¬S(x) means that x, the person that exists because of the quantifier, does not have a good attitude.

The negation is "¬(∃x)(¬S(x))" or equivalently "(∀x)(S(x))". To negate a proposition using quantifiers, change the quantifier (existential to universal and viceversa) and negate the predicate (in this case we negated ¬S(x)).

In English, "(∀x)(S(x))" means "Every person in this class has a good attitude".

8 0
1 year ago
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 105°, a
Akimi4 [234]

Answer:

The area of triangle is 110.10cm^{2}

Step-by-step explanation:

It is given that AB=19cm, BC=12cm and ∠B=105°

Now, Area of the triangle ABC=\frac{1}{2}acsinB

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=6{\times}19{\times}(0.965)

=110.10cm^{2}

Thus, the area of triangle is 110.10cm^{2}

4 0
2 years ago
Solve the formula for the specified variable. D=1/2fk for f <br>f=
Andreyy89
We are asked to solve the formula D=\frac{1}{2}fk for f. Starting off, we can divide both sides by k, so we are left with only the variable f on the right-hand side. Next, we need to multiply the reciprocoal of \frac{1}{2}, which is 2 to both sides. This gives us 2*\frac{D}{k}=f, which, when simplified, gives us \boxed{f=\frac{2D}{k}}. Hope this helped and have a phenomenal day!
4 0
2 years ago
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