Answer:
x=5 and y=10.5
Step-by-step explanation:
Answer:
Robin can clean 9828 rooms in 9 days
Step-by-step explanation:
Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666
number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day
We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9
1092 rooms/day * 9 days = 9829 rooms
Answer:
D) 1562.4 cubic centimeters
Step-by-step explanation:
volume = area of the base × height
volume = 173.6cm² × 9 cm
volume = 1562.4 cm³
Answer:
3, and -7
Step-by-step explanation:
First factor the trinomial
y=x2−4x−21
.
Find 2 numbers knowing sum (-4) and product (c = - 21). They are the numbers in the factor pair (3, -7).
y = (x + 3)(x - 7)
Solving the 2 binomials, we get:
x = -3 and x = 7
We want to solve the given quadratic inequality.
The correct option is the second one, counting from the top.
So we need to solve:
x^2 - 4x - 21 ≤ 0
Because we have the graph, we can avoid all the algebra.
Notice that the equation must be equal to or smaller than zero, then we just need to find the values of x such that the graph intersects the x-axis or is below it.
By looking at the given graph, we can see that the given range goes from -3 to 7
Then the solution is:
-3 ≤ x ≤ 7
This would be represented with a number line going from -8 to 8, two closed circles (because we use the symbols ≤ ≥) at negative 3 and 7, and the region between the circles is shaded.
The correct option is the second one.
If you want to learn more, you can read:
is so that AP:BP=1:3 and point M is the midpoint of segment
CP
. Find the area of △ABC if the area of △BMP is equal to 21m2.
56 m²
A diagram can be helpful.
Triangles with the same altitude will have areas proportional to the length of their bases.
The altitude from B to PC is the same for triangles BMP and BMC, so they have areas that are in the same proportion as MP : MC. Since M is the midpoint of CP, MP = MC and ABMP = ABMC = 21 m². Then ...
... ACPB = 21 m² + 21 m² = 42 m²
The altitude from C to AB is the same for triangles CPA and CPB, so those triangles have areas in the sampe proportion as AP : BP = 1 : 3. Then ...
... ACPA : ACPB = PA : PB = 1 : 3
... ACPA : 42 m² = 1 : 3
So, the area of ∆CPA is 1/3 of 42 m², or 14 m². The area of ABC is the sum of the areas of CPA and CPB, so is ...
... AABC = ACPA + ACPB = 14 m² + 42 m²
... AABC = 56 m²
She will have 1/2 if purple paint. I hoped I helped