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melamori03 [73]
2 years ago
15

Usually when Elena makes bird food, she mixes 9 cups of seeds with 6 tablespoons of maple syrup. However, today she is short on

ingredients. Think of a recipe that would yield a smaller batch of bird food but still taste the same. Explain or show your reasoning.
Mathematics
1 answer:
Delvig [45]2 years ago
7 0

Answer:

3 cups of seeds and 2 tablespoons of maple Syrup or 6 cups of seeds and 4 tablespoons of maple syrup.

Step-by-step explanation: As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"

The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"

Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.

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Here 2.4,1.6, 3.2,0.3, 1.5 . a)Calculate the means . b)Each piece of data is increased by 10. Calculate the new mean. c) Each ne
vagabundo [1.1K]

Answer:

1.8 ; 11.8 ; 4.18

Step-by-step explanation:

Given the data:

X : 2.4,1.6, 3.2,0.3, 1.5

Mean, m = Σx / n

Σx = 9 ; n = 5

m = 9 /5

m = 1.8

If data is increased by 10:

X : 12.4, 11.6, 13.2, 10.3, 11.5

Σx = 59 ; n = 5

m = 59 /5

m = 11.8

If data values is doubled :

X : 5.76, 2.56, 10.24, 0.09, 2.25

Σx = 20.9 ; n = 5

m = 20.9 /5

m = 4.18

7 0
2 years ago
solve x^2-8x=20 by completing the square. Which is the solution set of the equation? a {2, 10} b {-2, 10} c {2, -10} d {-2, -10}
torisob [31]

Answer:

B is the correct answer.

Step-by-step explanation:

7 0
3 years ago
What is the correct first step to solve this system of equations by elimination?
storchak [24]

\bold{\huge{\pink{\underline{ Solution }}}}

\bold{\underline{ Given }}

  • <u>We </u><u>have </u><u>given </u><u>two </u><u>linear </u><u>equations </u><u>that</u><u> </u><u>is </u><u>2x </u><u>-</u><u> </u><u>3y </u><u>=</u><u> </u><u>-</u><u>6</u><u> </u><u>and </u><u>x</u><u> </u><u>+</u><u> </u><u>3y </u><u>=</u><u> </u><u>1</u><u>2</u><u> </u><u>.</u>

\bold{\underline{ To \: Find }}

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>x </u><u>and </u><u>y </u><u>by </u><u>elimination </u><u>method</u><u>. </u>

\bold{\underline{ Let's \: Begin }}

\sf{ 2x - 3y = -6 ...eq(1)}

\sf{ x +  3y = 12 ...eq(2)}

<u>Multiply </u><u>eq(</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>by </u><u>2</u><u> </u><u>:</u><u>-</u>

\sf{ 2( x + 3y = 12 )}

\sf{ 2x + 6y = 24 }

<u>Subtract </u><u>eq(</u><u>1</u><u>)</u><u> </u><u>from </u><u>eq(</u><u>2</u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{ 2x + 6y -( 2x - 3y) = 24 -(-6)}

\sf{ 2x + 6y - 2x + 3y = 24 + 6 }

\sf{   9y = 30 }

\sf{   y = 30/9}

\sf{\red{ y = 10/3}}

<u>Now</u><u>, </u><u> </u><u>Subsitute</u><u> </u><u>the </u><u>value </u><u>of </u><u>y </u><u>in </u><u>eq(</u><u> </u><u>1</u><u> </u><u>)</u><u>:</u><u>-</u>

\sf{ 2x - 3(10/3) = -6 }

\sf{ 2x - 10 = -6 }

\sf{ 2x  = -6 + 10}

\sf{ x  = 4/2}

\sf{\red{ x  = 2}}

Hence, The value of x and y is 2 and 10/3

6 0
2 years ago
A survey question revealed that at a particular college 87 percent of students worked at least sometime during their undergradua
Elanso [62]

Answer:

The correct option is A. 198 degrees

Step-by-step explanation:

Consider the provided information.

87 percent of students worked at least sometime during their undergraduate career and 13 percent did not work at all.

Another question showed that 32 percent of the students worked throughout their undergraduate career.

87 percent  of the students worked at least sometime during the college. Out of them 32% worked throughout the college.

Therefore, the students who worked sometime during their undergraduate career, but not throughout are:

(87-32)% = 55% .

As we know the angle measure in circle  is 360 degrees.

55% of 360° is:

\frac{55}{100}\times360= 198

Hence, the measure of central angle would be 198 degrees

Therefore, the correct option is A. 198 degrees

8 0
3 years ago
What is 48 times 3 I'm giving y'all an easy chance for points answer is 144 I think
ch4aika [34]

Answer:

yup you are correct. The answer is 144 :)

Step-by-step explanation:

Also thx for the points!

3 0
2 years ago
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