For a craft activity at a daycare, each child will need 1.75 yards of ribbon and 2.8 yards of fabric. there are 25 yards of ribbon and 30 yards of fabric available. estimate the number of children that can participate in the activity. explain your reasoning.

Thus, only 10 children will be able to participate in the activity.

Step-by-step explanation:

Total quantity of Ribbon = 25 yards

Total quantity of Fabric available = 30 yards

Amount of ribbon required by a child = 1.75 yards

Amount of fabric required by a child = 2.8 yards

Ribbon is available for = = 14.29 ≈ 14 Children

Ribbon is available for = = 10.71 ≈ 10 Children

Thus, only 10 children will be able to participate in the activity as enough fabric is not available for 14 children to participate.

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²