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2 years ago

15

What are some key ways to solve math word problems? How can you tell which math category does a problem solving question fall in

?

1 answer:

OlgaM077 [116]2 years ago

7 0

Look for "Math Clues." Math Clues are like how many, fewer, left, and more.

How many is the total.

Fewer & Left are subtraction.

More represents add.

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find 2 consecutive integers such that three times the square of the first is equal to seven more than five times the second

melamori03 [73]

Answer:

Step-by-step explanation:

We are looking for two numbers, $N$ and $N + 1$ . From the problem statement, we can setup the following equation:

$3N^{2} = 5(N + 1) + 7$

$3N^{2} = 5N + 5 + 7$

$3N^{2} - 5N - 12 = 0$

$(3N + 4)(N - 3)$

$N = \frac{-4}{3}, 3$

Because 3 is the only integer solution, the answer is 3 and 4.

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3 years ago

Making and Interpreting Correlations: Mastery Test

garri49 [273]

Answer:

Graph D > Graph A > Graph C > Graph B

Step-by-step explanation:

The closer the data points are to each other along the line of best fit, the greater the value of their correlation coefficient, and vice versa.

Therefore, the graphs can be arranged in descending other (from the highest to the lowest) based on the values of their correlation coefficients as follows:

Graph D > Graph A > Graph C > Graph B

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2 years ago

Suppose you invest $1400 at interest rate of 4.3% compounded continuously. How much will you have in the account after 7 years?

STatiana [176]

$\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1400\\ r=rate\to 4.3\%\to \frac{4.3}{100}\dotfill &0.043\\ t=years\dotfill &7 \end{cases} \\\\\\ A=1400e^{0.043\cdot 7}\implies A=1400e^{0.301}\implies A\approx 1891.69\implies \stackrel{\textit{rounded up}}{A=1892}$

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2 years ago

Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and

kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

$x=y+2$

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

$35x+10y=385$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.$

Substitute the first equation into the second equation:

$35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9$

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3 years ago

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What is 2.1 divided by 12.6

allochka39001 [22]

Answer:

0.16666666666

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3 years ago

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