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Romashka [77]
3 years ago
15

Lamar receives money from his relatives every year on his birthday. Last year, Lamar received $100. This year, he received 29% m

ore than last year. How much did he receive this year?
Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

$129

Step-by-step explanation:

Amount received last year = $100

Amount received this year = x

x = 29% more of last year

x = $100 + ($100 * 29%)

x = $100 + ($100 * 29 / 100)

x = $100 + $29

x = $129

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A patio is in the shape of a square, with a lengh of 35 feet. You wish to draw a black line down one diagonal.
SashulF [63]

Answer:

a) 35√2

b) between 25 and 36 (5² and 6²)

c) 49.5 ft

7 0
3 years ago
How can 8 students share a pizza cut into 12 slices without cutting any of the slices?
Triss [41]
Hmmm...
We have to divide 12 by 8, since we need to see how 8 students will share 12 slices.

12/8=1 and 1/2

So, each student can have a slice and a half, but since we aren't allowed to cut the slices...

We can let each student have one slice, with 4 left over, so...

Every student can have one slice, and then half can have a second slice :)!

I'm not sure if that is what was meant by the question, but that was all I could think of.

I hope I helped! :)
3 0
3 years ago
What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
p = 1
Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
4 0
3 years ago
If i have 7,040 yards how much feet do i have
Vesna [10]

Answer:

21,120 feet

Step-by-step explanation:

1 yard is = 3 feet so you multiply 3 by 7,040

Which is 21,120

Answer: 21,120

Hope this helps!

4 0
3 years ago
1.06 SINUSOIDAL GRAPH VERTICAL SHIFT <br> What is the period of the function f(x)=cos10x
stealth61 [152]
I got that question and the answer C
5 0
2 years ago
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