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Galina-37 [17]
2 years ago
15

Aidan rode his bike 2.3 km from home to the library.Then he biked to the park.When he left home, his odometer read 293.8 km.When

he reached the park, it read 308.2 km.How far from the library is the park?
Mathematics
1 answer:
Vinvika [58]2 years ago
4 0

Answer:

308.2 - 293.8 = 14.4 km

14.4 - 2.3 = 12.1

So the library is 12.1 km from the park.

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The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Kryger [21]
Let's say the first number is -a, so "a" will be some positive value, and we multiply -1 to it, we get the -a

a consecutive number from it, is either, ahead or before it, so, -a + 1 or -a -1, is a consecutive integer, hmm let's use -a + 1 then

so, the two numbers are -a and -a + 1

we know their product is 600

\bf (-a)(-a+1)=600\implies a^2-a=600
\\\\\\
\begin{array}{lcclll}
a^2&-a&-600=0\\
&\uparrow &\uparrow \\
&-25+24&-25\cdot 24
\end{array} \implies (a-25)(a+24)=0
\\\\\\

\begin{cases}
a-25=0\implies &\boxed{a=25}\\
a+24=0\implies &a=-24
\end{cases}

we use the positive one, because we're using -1 in front of the "a"

what's the lesser integer? well, what's  -a+1?  which one is lesser?
7 0
2 years ago
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Carl scored 32 on the ACT mathematics Test and 730 on the mathematics portion of the SAT. If the ACT Math Test had a mean score
Shtirlitz [24]

Answer:

Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.

Step-by-step explanation:

Z-score

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

On which exam did Carl earn a better score with respect to his peers?

On whichever exam he had the higher z-score.

SAT

Scored 730, mean 516, standard deviation 116. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{730 - 516}{116}

Z = 1.84

ACT

Scored 32, mean 21, standard deviation 5.3. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{32 - 21}{5.3}

Z = 2.08

Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.

4 0
2 years ago
The mean weight of the packages Joan shipped was 2.5 pounds. If Joan mailed four packages and three of them had weights of 1.7,
Vikentia [17]
A.) 2.3 ok i think it would help u out alot
8 0
2 years ago
What is the multiplicative rate of change of the exponential function represented in the table? 1.5 2.25 3.0 4.5
Sati [7]
Use the geometric sequence formula to solve for rate:
an=a1r^(n-1)

6.75=4.5r^(2-1)
6.75=4.5r
6.75/4.5=r
r= 1.5
and if you want to make sure just multiply each number by 1.5 and see if it gets you the next number
4.5 4.5×1.5=6.75 (holds true)
6.75 6.75×1.5=10.125 (holds true)
10.125 10.125×1.5=15.1875 (holds true)
15.1875

1.5 is the multiplicatice rate hope that helps :)
8 0
2 years ago
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What is it called when you put two of the same variables together
DaniilM [7]

Answer:

In algebra, like terms are terms that have the same variables and powers.

3 0
2 years ago
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