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3 years ago

9

Carter wants to raise more then $200 for the 6th grade field trip. Each day during lunch he's going to sell lollipops for $2. Wr

ite an inequality to show how many lollipops will he need to sell in order to reach his goal.

1 answer:

GenaCL600 [577]3 years ago

6 0

You would have to Multiply the lollipops by the amount of money you need to raise. Therefore the answer is 400 lollipops

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Choose the symbol that correctly compares the fractions below.<br> 8/9 ? 1/9

gladu [14]

Answer:

Which means that this equation is also true: 8/9 > 1/9

Step-by-step explanation:

Is 8/9 less than 1/9? Is 8/9 smaller than 1/9? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

8/9 = 0.889

1/9 = 0.111

Then, we compare the two decimal numbers to get the answer.

0.889 is not less than 0.111.

Therefore, 8/9 is not less than 1/9 and the answer to the question "Is 8/9 less than 1/9?" is no.

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3 years ago

A group of 50 people were asked their gender and if they liked cats. The data from the survey are shown in the Venn diagram. Det

Alja [10]

Answer:

a = 13,

b = 28,

c = 6,

d = 22,

e = 31

Step-by-step explanation:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

7 0

3 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

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3 years ago

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Evaluate the following:<br><br> <img src="https://tex.z-dn.net/?f=10%20%2B%20%5Csqrt%7B169%7D" id="TexFormula1" title="10 + \sqr

Debora [2.8K]

Evaluation of square root 169 = 13, so 10 + 13 = 23

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3 years ago

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Fine the area of a parallelogram with base b and height h.<br> b = 82 cm<br> h = 16.6 cm

Alona [7]

I just added an answer to a question exactly like that. The answer would be 1, 361.2. To find area you need to multiply the base and height together. Just think, b*h=a. Base times height equals area. Good luck!

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4 years ago

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