William put $100 in a bank account last year. Now he has 1/12 more money in the account. Which expressions represent how much money William has in his bank account now? Choose all answers that are correct. a.100-(1/12100) b.100+(1/12100) c.100+(13/12100) d.13/12100

Answers

Answer 1

Answer: well he put 100 dollars in his account

he then added 1/12 more money
so the amount of money he has is 1 and 1/12 of 100 dolars 1 and 1/12 is equal to 12/12+1/12=13/12
so b. [100+(1/12*100)] makes sense and d.[13/12*100] makes sense

Answer 2

Answer: I think its b and d because b : 100 add half a hundred. thats right.
d : 1 and a half of 100. thats right too. hope this helped!

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Use the quadratic formula to determine the exact solutions to the equation. 6x^2+4x-3=0X=_____. Or x=_______
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Find the distance between the points (-3, 5) and (6, -7)

A ten foot long ladder leans against a wall, with the top of the ladder being eight feet above the ground. What is the approximate angle that the ladder makes with the ground?

Answers

Answer:

The angle that the ladder made with the ground = 53.13010235°

Step-by-step explanation:

The ladder has a length of 10 ft and it leaned against a wall to form a right angle triangle. The height from the top of the ladder to the ground is given as 8 ft. The triangle formed from the illustration can be represented with the picture below.

The angle A is the angle the ladder made with the ground.

Length of ladder = c

height from the top of the ladder to the ground = a

The distance of the foot of the ladder and the wall = b

c = 10 ft

a = 8 ft

Using SOHCAHTOA

sin A = a/c

sin A = 8/10

sin A = 0.8

A = sin-1 0.8

A = 53.13010235°

so we got hypotenuse and opposite side so to find the angle we use the trig function
sin = opposite/hypotenuse
¢=angle
sin¢=8/10
sin¢= 0.8

arcsin¢=arcsin(0.8)
¢= 53.13 degrees

Throughout this activity, the scale factor, n, has been a positive value. However, a scale factor for dilations can also be negative. When a set of coordinates on a preimage is multiplied by -n instead of n, the coordinates of the image rotate about the center of dilation by 180°. Consider all the potential intervals of n in the table. Enter information in the table to indicate whether the scale factor produces an enlargement, a reduction, or no size change. Also indicate whether the image rotates 180° about the center of dilation. The first one has been done for you.

Answers

Answer:

Step-by-step explanation:

Answer:

Interval Enlargement, reduction, or no size change? Does the image rotate 180° about the center of dilation?

0 < n < 1 reduction no

n = 1 no size change no

n > 1 enlargement no

-1 < n < 0 reduction yes

n = -1 no size change yes

n < -1 enlargement yes

Step-by-step explanation:

Determine the value of the expression 4^3 × 4^-6 .A) -12
B)-1/12
C)64
D)1/64

Answers

$\bf 4^3-4^(-6)\implies 4^(3-6)\implies 4^(-3)\n\n-----------------------------\n\nnow\quad recall\implies a^{-{ n}} \implies \cfrac{1}{a^( n)}\qquad \qquad\cfrac{1}{a^( n)}\implies a^{-{ n}}\n\n-----------------------------\n\n4^(-3)\implies \cfrac{1}{4^3}\implies \cfrac{1}{64}$

Answer:

1/64

Step-by-step explanation:

i got this on usatestprep.

The coordinates of parallelogram PVWZ are P(0, 0), V(a, b), and Z(c, 0). Find the coordinates of W without using any new variables.Any help I could get on this one would be great! I don't understand this at all.

Answers

Answer:

Co-ordinates of W must be (c+a,b).

Step-by-step explanation:

We are given that,

PVWZ is a parallelogram with vertices P(0,0), V(a,b) and Z(c,0).

Since, PVWZ is parallelogram.

The possible line segments are PV, VW, WZ and ZP.

Also, as the opposite sides must be parallel for the parallelogram, the co-ordinates will move accordingly.

So, we see from the figure that,

Co-ordinates of W must be (c+a,b).

Ill take (c,b) would be the answer

How much does 3000 kg = to get tons

Answers

1 ton= 1000 kg
3000 kg= 3 ton

again
1000kg = 1ton
3000kg = 3 tons

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

Answers

To graph this we find the x- and y-intercepts. The x-intercept would be at 8 and the y-intercept would be at 6.

Explanation:
The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:
6x+8(0)=48
6x=48.

Divide both sides by 6:
6x/6=48/6
x=8.
We go to 8 on the x-axis and plot the point.

A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48
0+8y=48
8y=48.

Divide both sides by 8:
8y/8 = 48/8
y=6.

We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.

Answer:

Refer the figure.

Step-by-step explanation:

Let x be the number of times Emma mows the lawn

and y be the number of hours Emma babysits

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting i.e. $6x+8y$