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3 years ago

A & B share the cost in a ratio of 3:2. A pays £125, how much does B pay?

Mathematics

2 answers:

lubasha [3.4K]3 years ago

7 0

B would pay 83.33333 based on the ratio and a paying 125, (125÷3)×2

Lynna [10]3 years ago

6 0

125/.6 * .4 = 83.33 pounds

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The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.

ElenaW [278]

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE (0.1x - 22)

The measure of angle CBE (0.3x - 54)

Step 1

As per the Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

Step 2

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

Step 3

Lets solve the equation for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

Step 4

Answer : The value of x is 415

8 0

3 years ago

18. Find the measure of each numbered angle.

DiKsa [7]

Answer:

m∠1 = 50°, m∠2 = 90°, m∠3 = 40°, and m∠4 = 50°

Step-by-step explanation:

Angles on straight line are equal;

$m \angle1 + 130 = 180$

$m \angle1= 180 - 130 \\ m \angle1= 50$

Vertical angles are equal,

$m \angle4= m \angle \: 1= 50 \degree$

Complementary angles add up to 90°.

$m \angle3 + m \angle4 = 90 \degree \\ 40 + m \angle3 = 90 \degree. \\ m \angle3 = 90 \degree - 50 \degree \\ m \angle3 = 40 \degree$

Angles on straight line adds up to 180°

$m \angle1 + m \angle2 + m \angle3 = 180 \degree$

$40 + m \angle2 + 50 = 180 \\ m \angle2 = 180 - 50 - 40 = 90$

7 0

3 years ago

Which equation is a point-slope form of the equation of this line?

tigry1 [53]

The y-intercept is easily read: it is (0,5). The slope, m, is m = rise / run

7-1
= ----------- = 6/3 = 2
1-(-2)

Thus, the eqn of the line is y = 2x + 5. In point-slope format, y-5=2(x-0).

3 0

3 years ago

A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.

Alexxandr [17]

Answer:

A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.

Step-by-step explanation:

Standard deviation is a quantitative measure of the variability of traits of the subjects in a given population. These traits can range from age, height, weight e.t.c. This deviation is brought about by extreme or abnormal conditions, which is the reason why two deviations is more likely to occur than three deviations.

Moreover, going by the provisions of the empirical rule, If data comes from a population that is approximately symmetrical;

95% of the data will fall within two standard deviations.

99.7% will fall within three standard deviations

Find the attachment below.

Nevertheless, in a symmetrical distribution most of the data values fall around the mean. Two standard deviations is closer to the mean than 3 standard deviations hence more likely to occur.