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skad [1K]
3 years ago
12

The circle graph shows how a family budgets its annual income. If the total annual income is $135,000, what amount is budgeted f

or Food?

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

$22950 is budgeted for FOOD.

Step-by-step explanation:

=17% of 135000

=0.17*135000

=$22950

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PLEASE FIND THE VERTEX OF THIS PARABOLA
yarga [219]

Given equation of the parabola y= -5x^2 -10x -13.

We need to apply formla for x-coordinate of the vertex.

x=-b/2a.

For the given equation we have a=-5 and b=-10.

Plugging values of a and b in formula of x-coordinate of the vertex.

x= -(-10)/2(-5)

x= 10/(-10) = -1.

So, we got x-coordinate of the vertex = -1.

Now, we need to plug x=-1 in given equation to find the y-coordinate of the vertex.

Plugging x=-1 in y= -5x^2 -10x -13, equation we get

y=-5(-1)^2-10(-1)-13.

y= -5(1) +10 -13.

y=-5 +10-13.

y=-18+10.

y=-8.

So, we got y-coordinate of the vertex -8.

Therefore, vertex of the parabola is (-1,-8).

3 0
3 years ago
Janet deducted $5 on Monday and another $6 on Tuesday from her savings account. How much money did Janet deduct?
emmasim [6.3K]
A total of 5+6 for the total deduction so 11$. Her savings account has a total of -11$ since Monday as another way of phrasing it
7 0
3 years ago
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2
Nana76 [90]

Answer: k=18\dfrac{8}{11}.

Step-by-step explanation:

If a line passing through two points, then

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN =\dfrac{1-0}{5-0}=\dfrac{1}{5}

The endpoints of segment AB have coordinates \left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right) and  \left(-2\dfrac{1}{4} , k\right).

A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)

B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right).

Slope of AB =\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}

=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}

=\dfrac{4k-9}{4}\times \dfrac{44}{-145}

=4k-9\times \dfrac{11}{-145}

=\dfrac{44k-99}{-145}

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1

\dfrac{44k-99}{-725}=-1

44k-99=725

44k=725+99

k=\dfrac{824}{44}

k=\dfrac{206}{11}

k=18\dfrac{8}{11}

Therefore, the value of k is k=18\dfrac{8}{11}.

8 0
4 years ago
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the height of the highest mountain that jen has climbed is 5.283 km. this year, she will attempt to climb a mountain that is 43
kipiarov [429]

Answer:

the answer is 5.326

Step-by-step explanation:

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7 0
3 years ago
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Translate the sentence into an equation.
Serhud [2]
2=9x+5 I think this is how you do it because you say that it have to equal to 2
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