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3 years ago

S-95-5

Mathematics

1 answer:

Anna35 [415]3 years ago

5 0

Answer:

Solution in photo

Step-by-step explanation:

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The ratio of girls to boys in a running club was 3:5. There were 15 girls. How many total members were there in total?

AlexFokin [52]

Answer:

Step-by-step explanation:

The number of girls is represented by 3 parts of the ratio.

Divide number of girls by 3 to find value of one part of ratio.

$\frac{15}{3}$ = 5 ← value of 1 part of ratio, thus

5 parts = 5 × 5 = 25 ← number of boys

Total members = 15 + 25 = 40

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3 years ago

From the top of an 95 meter cliff, Tim spots a hiker down below at an angle

kirza4 [7]

Step-by-step explanation:

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3 years ago

Oliver and Lenny started hiking a hill simultaneously from the bottom to the top. Oliver hiked at a speed of 5 km/h during the f

Papessa [141]

Answer:

Oliver and Lenny reached the top of the hill at the same time

The proportion of time Oliver spent hiking to that of Lenny is 1:1

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

Speed = Distance/Time

Time = Distance/Speed

Oliver = Time of hiking first 5 km + Time of hiking second 5 km

Lenny = Time of hiking first 5 km + Time of hiking second 5 km

Oliver = 5/5 + 5/4

Oliver = 1 + 5/4 = 2 1/4 hours

Lenny = 5/4 + 5/5

Lenny = 5/4 + 1 = 2 1/4 hours

Oliver and Lenny reached the top of the hill at the same time

The proportion of time Oliver spent hiking to that of Lenny is 1:1

3 0

2 years ago

Which inequality is shown in the graph?

masha68 [24]

Answer:

Step-by-step explanation:

the graph has a y intercept of -3

try substituting any point in one of the equations that fit the graph in this one that is D.

try(1,1)

1<1-3

1<-3

it is false so shade the outside of the graph

hope it helps

7 0

3 years ago

Read 2 more answers

Triangle ABC is similar to triangle PQR, as shown below:

natita [175]

Answer:

$\frac{q}{b}=\frac{r}{c}$

Step-by-step explanation:

Consider the options for this question are as follow,

$\frac{q}{c}=\frac{r}{b}$

$\frac{c}{p}=\frac{b}{a}$

$\frac{c}{a}=\frac{q}{r}$

$\frac{q}{b}=\frac{r}{c}$

Here, In triangles ABC and PQR,

AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,

Since,

$\traingle ABC\sim \triangle PQR$

We know that,

The corresponding sides of similar triangles are in same proportion,

Thus,

$\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}$

$\frac{c}{r}=\frac{a}{p}=\frac{b}{q}$

$\frac{r}{c}=\frac{p}{a}=\frac{q}{b}$

$\implies \frac{q}{b}=\frac{r}{c}$

3 0

2 years ago

Read 2 more answers