1) 8 bananas cost £4 Work out the cost of 5 bananas.

Eli walk from her house to a friends house in one hour. She can travel the same Distance on her bicycle in 15 minutes. If she ri

lord [1]

Answer: her speed on the bicycle is 8 mph

Step-by-step explanation:

Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph

Distance = speed × time

Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 × x = x miles.

Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25(x + 6) = 0.25x + 1.5

Since the distance is the same,then

x = 0.25x + 1.5

x - 0.25x = 1.5

0.75x = 1.5

x = 1.5/0.75

x = 2

her speed on the bicycle is

x + 6 = 2 + 6 = 8 mph

3 0

2 years ago

Dawn and Jackson have baseball cards in the ratio of 2:3. Together, they have a total of 60 baseball cards. How many baseball ca

loris [4]

Answer:

24 and 36

Step-by-step explanation:

2x + 3x = 60

5x = 60

x = 12

Dawn has 2(12) = 24

Jackson has 3(12) = 36

6 0

3 years ago

Read 2 more answers

1.)Which equation will result if the substitution method is used to solve the following system of linear equations?

ohaa [14]

Question 1: (y+2)=y=6
2) (-4,3)

8 0

2 years ago

(Please Help) Drag a statement or reason to each box to complete this proof.

SOVA2 [1]

Answer:

see the explanation and the attached figure

Step-by-step explanation:

we have

$-2(x+1)=8$ ----> given

Divide by -2 both sides

$-2\frac{(x+1)}{-2} =\frac{8}{-2}$ ----> by Division Property of Equality

Simplifying

$x+1=-4$

Subtract 1 both sides

$x+1-1=-4-1$ ----> by Subtraction Property of Equality

Simplifying

$x=-5$

6 0

3 years ago

Please help

Firdavs [7]

Answer:

(–10, –2), (6, 6)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Verify each case

case 1) (5, –4), (–2, 1)

substitute in the formula

$m=\frac{1-(-4)}{-2-5}$

$m=\frac{1+4}{-2-5}$

$m=\frac{5}{-7}$

$m=-\frac{5}{7}$ ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

$m=\frac{10-(-10)}{2-6}$

$m=\frac{10+10}{2-6}$

$m=\frac{20}{-4}$

$m=-5$ ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

$m=\frac{6-(-2)}{6-(-10)}$

$m=\frac{6+2}{6+10}$

$m=\frac{8}{16}$

$m=0.5$ ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

$m=\frac{6-(-1)}{-6-5}$

$m=\frac{6+1}{-6-5}$

$m=\frac{7}{-11}$

$m=-\frac{7}{11}$ ----> the slope is negative

3 0

3 years ago