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posledela
3 years ago
5

-3/4 x (-10/9) A. 27/40 B. 5/6 C. -27/40 D. -5/6

Mathematics
2 answers:
alexdok [17]3 years ago
7 0

Answer:

B. 5/6

Step-by-step explanation:

1.multiply -3 by -10 (negative multiplying negative is positive) which will give you 30

2.Then multiply 4 by 9 = 36.

3.u will get 30/36, divide both the numerator and denominator by 6.

4. it will give you 5/6 as an answer.

Alexeev081 [22]3 years ago
3 0

Answer: B

Step-by-step explanation:

1. Multiplying two negatives equals a positive.

2. Reduce the numbers with the GCF, 3.

3. Reduce the numbers with the greatest common factor, 2.

4. Multiply the fractions which would give you: 5/6

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Which lines are perpendicular to 2x−7y=−25? Select all that apply.
Dima020 [189]

Answer:

B and D

Step-by-step explanation:

slope = 2/7

perpendicular equals negative reciprocal

so slope must be -7/2

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3 years ago
Read 2 more answers
a barangay has 1000 individuals and its population doubles every 60 years. Give an exponential model for the barangay's populati
sdas [7]

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

7 0
3 years ago
"The volume of the trapezoidal prism is 1279.152 cubic feet. Determine the height of the trapezoidal base"
Diano4ka-milaya [45]

Answer:

The height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

Consider the provided information.

The volume of trapezoidal prism is the area of the cross-section × the length.

V=BH

Where B is the area of base, H is the length and V is the volume.

The length of the prism is 25.2ft and volume is 1279.152

1279.152=B(25.2)

B=50.76

Hence, the base area is 50.76 ft².

The base is trapezoid.

The area of trapezoid is B=\frac{1}{2}(b_1+b_2)h

Substitute B=50.76, b_1=10\ and\ b_2=4.1 in above formula.

50.76=\frac{1}{2}(10+4.1)h

50.76=7.05h

h=7.2

Hence, the height of the trapezoidal base is 7.2 ft.

4 0
3 years ago
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