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Margaret [11]
1 year ago
9

Solve the equation. \dfrac34 =m+\dfrac14 4 3 ​ =m+ 4 1 ​ start fraction, 3, divided by, 4, end fraction, equals, m, plus, start

fraction, 1, divided by, 4, end fraction m=m=m, equals

Mathematics
1 answer:
RSB [31]1 year ago
3 0

Answer:

\boxed{\dfrac{1}{2} = m}

Step-by-step explanation:

Given equation:

\dfrac{3}{4} = m + \dfrac{1}{4}

<u>Step-1: Subtract 1/4 both sides</u>

\dfrac{3}{4} = m + \dfrac{1}{4}

\dfrac{3}{4} - \dfrac{1}{4} = m

\dfrac{2}{4}  = \boxed{\dfrac{1}{2} = m}

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Please help with this
Dafna1 [17]

Answer:

A

Step-by-step explanation:

● first one:

The diagonals of a rhombus are perpendicular to each others wich means that they form four right angles.

STP is one of them so this statement is true.

● second one:

If ST and PT were equal this would be a square not a rhombus.

● third one:

If SPQ was a right angle, this woukd be a square.

● fourth one:

Again if the diagonals SQ and PR were equal, this would be a square.

5 0
3 years ago
Y is directly proportional to x when y=30, x=6
rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

\therefore \:  y \:  \alpha \:  \: x \\ \therefore \:  y =  kx ...(1) \\ plug \: y = 30 \: and \: x = 6  \: in \: eq \: (1)\\ 30 = k \times 6 \\ k =  \frac{30}{6}  \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\  \huge \red{ \boxed{y = 60}}

4 0
2 years ago
Write a word problem using the numbers 506 and 8. Then solve
natka813 [3]

Answer:

Billy is a fly enthusiast! He has a huge glass container filled with 506 flies! One day when Billy went to feed the flies, he accidentally left the screw opened for too long, and 8 flies escaped! How many flies are left in the tank?

3 0
3 years ago
A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 65, \sigma = 8.2

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

8 0
3 years ago
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Dima020 [189]
6x+12y-6z+7x7y-28z= 13x+19y-34z
6 0
3 years ago
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