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2 years ago

James has saved $24.60. Dillon saved 2/3 of

Mathematics

2 answers:

stepan [7]2 years ago

4 0

James saved 24.60 dollars, and we know Dillon saved 2/3 of the amount James saved.

Dillon's amount: 2/3 * 24.60 = 16.40

So we have two amounts:

James = 24.60 dollars

Dillon = 16.40

Mara = 16.40 * 2 = 32.80 dollars.

The question is asking for the total, so we add them together:

24.60 + 16.40 + 32.80 = 73.8 dollars.

Rzqust [24]2 years ago

3 0

James =24.60
Dillon=16.4
Mara = 32.8

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Which expression is equivalent to Negative 2 and one-fourth divided by negative two-thirds? StartFraction 9 over 4 EndFraction d

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Answer:

The correct answer is:

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

i.e.

$-\dfrac{9}{4} \div \dfrac{2}{3}$

Step-by-step explanation:

We have to find equivalent expression to :

Negative 2 and one-fourth divided by negative two-thirds

i.e.

$-2\dfrac{1}{4} \div \dfrac{2}{3} = ?$

We have to convert the the mixed fraction form $-2\frac{1}{4}$ to simpler $\frac{p}{q}$ fraction form.

Let us learn the concept first.

Mixed fraction is combination of a whole number and a fraction.

Expression of the form $a\frac{b}{c}$ have the following understanding:

c is the divider

b is the remainder and

a is the quotient.

To convert mixed fraction to fraction we can use the following:

$a\dfrac{b}{c} = \dfrac{a \times c+b}{c}$

$\therefore -2\dfrac{1}{4} = -\dfrac{(2 \times 4+1)}{4} = -\dfrac{9}{4}$

Hence

$-2\dfrac{1}{4} \div \dfrac{2}{3} = -\dfrac{9}{4} \div \dfrac{2}{3}$

i.e. the given expression is equivalent to :

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

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2 years ago

Read 2 more answers

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Answer:

Option (b) is correct.

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Step-by-step explanation:

Given : The function $p(x)=-2(x-9)^2+100$ is used to determine the profit on T-shirts sold for x dollars.

We have to find the profit from sales if the price of the T-shirts were $15 a pieces.

Consider the given profit function $p(x)=-2(x-9)^2+100$

For the profit, if the price of a t-shirt is $ 15

Put x = 15, we have,

$p(15)=-2(15-9)^2+100$

Simplify, we have,

$p(15)=-2(6)^2+100=-2\cdot 36+100$

Also, $p(15)=-72+100=28$

Thus, we get, The profit from sales if the price of the T-shirts were $15 a pieces is $28.

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2 years ago

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Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

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