Teresa received $80 for her birthday. At what rate would she have to invest to have $90 at the end of the year

Which of the following is not a Quadrilateral

Lera25 [3.4K]

Answer:

triangle?

Step-by-step explanation:

8 0

2 years ago

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10. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?

9966 [12]

$a_{5}=a+4d=11\\a_{10}=a+9d=41$

Solve the above equations,

$a_{10}-a_{5}=41-11\\a+9d-a-4d=30\\5d=30\\d=6\\a=11-24=-13$

First term is -13.

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2 years ago

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The equation of line f is y − 9 = -5(x + 7) . Line g is parallel to line f and passes through (3, -8) . What is the equation of

Kisachek [45]

Answer:

The slope intercept form: y = - 5x + 7

Step-by-step explanation:

The equation of line f is y − 9 = -5(x + 7)

You need to find the slope of line f

y - 9 = -5(x + 7)

In point slope form: y - y1 = m(x - x1) where m = slope

In the line f, slope m = -5

Parallel lines, slope is the same so slope of line g is also equal - 5

Line g passes through (3, - 8) so equation in point slope form:

y + 8 = -5(x - 3)

y + 8 = -5x + 15

y = -5x + 7 <-----this is slope intercept form

5 0

3 years ago

Beau's recipe for granola bars calls for 3 1/2 cups of oatmeal. He only has a 1/6 cup scoop. How many scoops of oatmeal will he

Drupady [299]

There will be $\boxed{\bf 21}$ scoops of oatmeal to complete the recipe.

Further explanation:

Given that Beau’s recipe of granola bars contains $3\frac{1}{2}$ cups of oatmeal.

Beau’s has only $\frac{1}{6}$ cup scoop.

Our aim is to find the number of scoops of oatmeal Beau’s needed to complete the recipe for granola bars.

Total cups of oatmeal are $3\frac{1}{2}$ .

First we have to convert the total cups of oat meal to proper fraction.

$\begin{aligned}\text{Cups of oatmeal for the recipe}&=\dfrac{(3\cdot 2)+1}{2}\\&=\dfrac{6+1}{2}\\&=\dfrac{7}{2}\end{aligned}$

There is only $\frac{1}{6}$ cup scoop.

Since there are $\frac{7}{2}$ cups of oatmeal and $\frac{1}{6}$ cup scoop, therefore, number of scoops required to complete the meal are calculated as follows:

$\begin{aligned}\text{Number of scoops required}&=\dfrac{\frac{7}{2}}{\frac{1}{6}}\\&=\dfrac{7}{2}\cdot 6\\&=7\cdot 3\\&=21\end{aligned}$

The total number of scoops is obtained in whole number; therefore, this is our final answer.

Therefore, $\boxed{\bf 21}$ scoops of oatmeal are needed by Beau’s to complete the recipe of granola bars.

Learn more:

1. Learn more about simplified form brainly.com/question/1602237

2. Learn more about equations brainly.com/question/1473992

3. Learn more about fractions brainly.com/question/1648978

4. Learn more about composite function brainly.com/question/2723982

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: Beau’s, recipe, granola, bars, cups, oatmeal, scoop, 3 1/2 ,1/6 cup scoop, complete, cups of oatmeal, fractions, whole number.

7 0

3 years ago

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Find the image of triangle GHJ under the translation of (X,Y) ——> ( x-1, y-8)

MAVERICK [17]

Answer:

triangle KLM

Step-by-step explanation:

Take one point on the initial triangle and move it according to the given translation to locate the image. I used point G. Its coordinate plot is at

(2,3). I perform the operation of the given translation to this. (X1-X2, y1-y2).

So, (2-1, 3-8). The new coordinates will be (1,-5) and the only triangle with these coordinates is triangle KLM.

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3 years ago

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