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Grace [21]
2 years ago
9

Lucas bought a package of baseball cards for $0.70. His friend bought 3 times as many packages. How much did his friend spend?

Mathematics
1 answer:
kodGreya [7K]2 years ago
4 0

Answer:  $2.10

Step-by-step explanation:

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2.Solve the following quadratic equations<br> i. 9x^2 - 1/16<br> ii. 2h^2 - 3h - 27
Juli2301 [7.4K]
i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}


ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\&#10;\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}

4 0
3 years ago
Which graph represents a function with a rate of change of 0.5? On a coordinate plane, a line with negative slope goes through p
Law Incorporation [45]

Answer:

C

Step-by-step explanation:

I took the test

:)

5 0
3 years ago
Read 2 more answers
I need help with this, please. Your family is driving from Harrisburg Pennsylvania to San Antonio, Texas a trip of 1430 miles. Y
olga_2 [115]

Estimate the total amount you should plan to spend on gasoline for the entire trip

<em>Total distance of the trip</em> = 1430 miles

<em>After 350 miles, refill tank</em> = $35

This means 350 miles cost $35

1430 miles cost $x

solve using ratio

350 : 35 = 1430 : x

350/35 = 1430 / x

10 = 1430/x

<em>cross product</em>

10x = 1430

<em>Divide both sides by 10</em>

x = 1430 / 10

x = $143

Therefore, the total amount you should plan to spend on gasoline for the entire trip is $143

Read more:

brainly.com/question/18520020

3 0
3 years ago
Use the estimate in the text based on the Prime Number Theorem to give approximate values of the following. (a) The number of pr
ozzi

Answer:

a)148.47

b)148.34

Step-by-step explanation:

Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.

We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.

A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.

a)The number of primes between 1 and 1030.

1030/log(1030)=148.47

b) The number of primes between 1 and 1029.

1029/log(1029)=148.34

 Extra: π(1029)=π(1030) because 1030 is not a prime.

5 0
3 years ago
Find the vertex, focus, directrix, and focal width of the parabola.<br> x = 4y2
Anuta_ua [19.1K]
I Hope this helps you

8 0
3 years ago
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