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kirza4 [7]
2 years ago
9

A student club started a fundraising effort to support animal rescue organizations. The club sent an information flyer home to t

he n students in the school. It says, "We welcome donations of any amount, including any change you could spare!" Their goal is to raise T dollars, and to donate to a cat shelter and a dog shelter.
Match each quantity to an expression, an equation, or an inequality that describes it.

The dollar amount the club would have if every student at the school donated a quarter to the cause.
Mathematics
1 answer:
Genrish500 [490]2 years ago
5 0

The dollar amount the school will raise is given by the expression 0.25n, where n is the number of students.

A combination of terms through addition, subtraction, multiplication, division, and other operations is known as an algebraic expression (or variable expression).

A connection that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics.

  • The dollar amount the club would have if they reached one-fourth of their goal=  \frac{1}{4} T
  • The dollar amount the club would have if every student at the school donated a quarter to the cause =\frac{1}{4} n
  • The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter= \frac{3}{4} T

Therefore the dollar amount the school will raise is given by the expression 0.25n or \frac{1}{4} n , where n is the number of students.

To learn more about algebraic expression:

brainly.com/question/28172855

#SPJ9

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Use linear combination <br><br> 4x-9y=1<br> -2x+3y=-1
kirill [66]

Answer:

  (x, y) = (1, 1/3)

Step-by-step explanation:

The x-coefficient in the first equation is -2 times that in the second equation, so adding twice the second equation to the first will eliminate x:

  (4x -9y) +2(-2x +3y) = (1) +2(-1)

  -3y = -1 . . . . simplify

  y = 1/3 . . . . . divide by -3

The y-coefficient in the first equation is -3 times the y-coefficient in the second equation, so adding 3 times the second equation to the first will eliminate y:

  (4x -9y) +3(-2x +3y) = (1) +3(-1)

  -2x = -2 . . . . . . simplify

  x = 1 . . . . . . . . . divide by -3

The solution is (x, y) = (1, 1/3).

8 0
3 years ago
I. In a shipment of 300 connecting rods, the mean tensile strength is found to be 45 kpsi and has a standard deviation of 5 kpsi
CaHeK987 [17]

Answer:

a) Between 39 and 40 rods can be expected to have a strength less than 39.4 kpsi.

b) 260 rods are expected to have a strength between 39.4 and 60 kpsi

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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.

In this problem, we have that:

\mu = 45, \sigma = 5

(a) Assuming a normal distribution, how many rods can be expected to have a strength less than 39.4 kpsi?

The percentage of rods with a stength less than 39.4 is the pvalue of Z when X = 39.4. So

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

Z = \frac{39.4 - 45}{5}

Z = -1.12

Z = -1.12 has a pvalue of 0.1314

13.14% of rods have a strength less than 39.4 kpsi.

Out of 300

0.1314*300 = 39.42

Between 39 and 40 rods can be expected to have a strength less than 39.4 kpsi.

(b) How many are expected to have a strength between 39.4 and 60 kpsi?

The percentage of rods with a stength in this interval is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 39.4. So

X = 60

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

Z = \frac{60 - 45}{5}

Z = 3

Z = 3 has a pvalue of 0.9987

X = 39.4

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

Z = \frac{39.4 - 45}{5}

Z = -1.12

Z = -1.12 has a pvalue of 0.1314

0.9987 - 0.1314 = 0.8673

86.73% of the rods are expected to have a strength between 39.4 and 60 kpsi

Out of 300

0.8673*300 = 260

260 rods are expected to have a strength between 39.4 and 60 kpsi

4 0
4 years ago
Maya's band rehearsal started at 10:30 A.M. It ended 1 hour and 40 minutes later. At what time did Maya's band rehearsal end?
Ahat [919]
Maya's band rehearsal ended at 12:10pm
4 0
3 years ago
Sienna has $8 and is saving $3 per week. Jacob has $6 and is saving $4 per week. Which model represents the equation that can de
8090 [49]

Answer:

B

Step-by-step explanation:

From the given information:

Sienna has $8 denotes the unit blocks of x tiles. So, she saved $3 per week.

This implies that:

8x + 3(1) = 8x + 3

Also,

If Jacob as well had $6 which implies 6x unit block of tiles while he saved $4;

i.e.

6(x) + 4(1) = 6x + 4

So;

the model that can determine when Sienna will have the same amount as Jacob is:

8x + 3 = 6x + 4

7 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the point (-6,-4)(−6,−4) and is parallel to the line x+6y=12x+6y=12?
masya89 [10]

Answer:

x + 6y + 30 = 0

Step-by-step explanation:

x + 6y = 12

6y = -x + 12

y = -⅙x + 2

Slope: -⅙

y - (-4) = -⅙(x - (-6))

y + 4 = -⅙(x + 6)

-6y - 24 = x + 6

x + 6y + 30 = 0

4 0
4 years ago
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