All categories

3 years ago

Joe and Susan share a sum of money in the ratio 1:5. What fraction of the money does Joe receive?

Mathematics

1 answer:

andrew-mc [135]3 years ago

7 0

Answer:

1 / 6

Step-by-step explanation:

The amount of parts is 1 + 5 = 6 and Joe only receives 1 part so the fraction is 1 / 6.

You might be interested in

What is the factor of <br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20-%2027" id="TexFormula1" title="

Ksju [112]

Answer:

(x - 9)(x + 3)

Step-by-step explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)

6 0

2 years ago

Read 2 more answers

Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a

larisa86 [58]

Answer:

Point (1,8)

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

$[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]$

Let us substitute coordinates of point P and Q as:

$x_1=-8$ ,

$y_1=-4$

$x_2=4$

$y_2=12$

$m=3$

$n=1$

$[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]$

$[x=\frac{12-8}{4},y=\frac{36-4}{4}]$

$[x=\frac{4}{4},y=\frac{32}{4}]$

$[x=1,y=8]$

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

7 0

2 years ago

Which expression represents the product of negative three-fourths x and –8x?

den301095 [7]

Answer:

6x²

Step-by-step explanation:

$-\frac{3}{4} x\times \left( -8x\right) =\frac{3}{4} x\times 8x$

$=\frac{3}{4} \times 8\times x\times x$

$=\frac{24}{4} \times x^{2}$

$=6x^2$

7 0

2 years ago

statuscvo [17]

Part A)

His sample only involves days during the summer (if Devin is in the northern hemisphere), which would mean that the high temperatures he'll record are likely to be higher than the average. Therefore, the sample mean he computes does not represent the average high temperature for the whole year.

----------------------------------------

Part B)

To correct his mistake, he needs to sample every day of the year. Or he could sample a few days of each month (say the first ten days of each month). That way the entire year is better represented. The other seasons of spring, fall and winter are included now.

4 0

3 years ago

Seventy percent of the 100 students in middle school cafeteria bought their lunch sone of the students that brought there own lu

gogolik [260]

So we solve for each
70% of 100=70
students who didn't buy lunch=100-70=30

some of the 70 left so that the students who bought lunch, are 60% of those who are left
we know that the students who didn't buy lunch didn't change number so therefor
100% of students left-60%=40%= students that didn't buy lunch=30 so
40%=30
20%=15
100%=75
there were 75 students lfet in the cafeteria

3 0

3 years ago