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21 day ago

Tristan is 6 years older than Janiyah. The product of their ages 5 years from now will be 187. Whats Janiyahs age

1 answer:

8 0

(y+5)(y+11) = 187
y² + 16y + 55 = 187
y² + 16y - 132 = 0
y = 6 or -22 (discarding negative)
Thus, Janiyah is 6 years old.

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You deposit $400 in an account that pays 2.4% annual interest compounded monthly a. When does your balance first exceed $500? af

Zina [9171]

Answer:

The final result is $88

Step-by-step explanation:

The Math.random () method produces a floating-point, pseudo-random number ranging from 0 to 1 (including 0 but excluding 1), which is distributed fairly evenly within that interval — allowing you to scale it to fit your preferred range.

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20 days ago

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

PIT_PIT [9117]

Answer:

(A)(12, 9)

Step-by-step explanation:

Provided:

The starting point of the stencil's left edge is at (2, -1).

A designated point, referred to as Q on the stencil, is located at (4, 1).

Point Q divides the stencil in a 1:4 ratio.

We are tasked with determining the endpoint of the stencil.

Mathematically, Point Q segments the stencil internally in a 1:4 ratio.

For calculating the internal division of a line segment with initial point $(x_1,y_1)$ and end point $(x_2,y_2)$ in the ratio m:n, we apply the formula

$Q(x,y)=(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n} )$

$(x_1,y_1)=(2, -1)$ , $(x_2,y_2)=?$ , Q(x,y)=(4,1), m:n=1:4

Consequently:

$(4,1)=(\dfrac{1x_2+4*2}{1+4},\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5},\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)$

The selected choice is A.

6 0

23 days ago

Read 2 more answers

If one termite can destroy 1.2mg of wood per day, how many kilograms of wood can 10 termites destroy in 1 week? *Can someone ple

AnnZ [9099]

A group of 10 termites is capable of damaging 0.000084kg of wood in one week.

For clarity, converting milligrams to kilograms yields: 1.2mg = (1.2 / 1,000,000)kg equals 0.0000012kg. Consequently, a single termite will consume 0.0000012kg daily. Therefore, 10 termites will demolish a total of: (0.0000012 × 10) kg per day, resulting in 0.000012kg. As there are 7 days in a week, the total destruction across the week is calculated as 10 termites' daily destruction multiplied by 7, which translates to 0.000012 × 7 = 0.000084kg per week.

5 0

2 days ago

The area of a closet is 100 square feet. Write the number in exponent form and in word form

Leona [9271]

Exponent notation is 10^2 square feet, and in words it is one hundred square feet.

8 0

1 month ago

Read 2 more answers

Seventy-five cars sit on a parking lot. Thirty have stereo systems, 30 have air conditioners and 40 have sun roofs. Thirty of th

Inessa [9000]

Response:

a. 55 cars

b. 25 cars

Detailed explanation:

Let’s denote the quantity of cars with stereo systems as N(ss), those with air conditioning as N(ac), and those with sunroofs as N(sr).

We find that:

N(ss) = 30

N(ac) = 30

N(sr) = 40

N(ss and ac and sr) = 15

N(at least two) = 30

To calculate how many cars possess at least one feature (N(at least one) or N(ss or ac or sr)), we apply:

N(ss or ac or sr) = N(ss) + N(ac) + N(sr) - N(ss and ac) - N(ss and sr) - N(ac and sr) + N(ss and ac and sr)

N(ss or ac or sr) = 30 + 30 + 40 - (N(at least two) + 2*N(ss and ac and sr)) + 15

Substituting, we find N(ss or ac or sr) = 30 + 30 + 40 - (30 + 2*15) + 15 = 55

For those cars that have exactly one feature, we have:

N(only one) = N(at least one) - N(at least two)

N(only one) = 55 - 30 = 25

3 0

14 days ago