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solniwko [45]
3 years ago
11

Solve z2 – 2z – 35 = 0 using the zero product property.

Mathematics
1 answer:
elena55 [62]3 years ago
3 0
Z^2 - 2z - 35 = 0
(z - 7)(z + 5) = 0

z - 7 = 0
z = 7

z + 5 = 0
z = -5

solution is : z = 7,-5


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Sally needs 1 3/4 yards of fabric to make a dress. She has 4 5/8 yards. How many yards of fabric will be left over?
Sophie [7]
Hey there,

Solution:
Fabric needed = 1 3 / 4
Fabric she has = 4 5 / 8
1 3 / 4 - make the denominator into 8
1 3 / 4 = 1 6 / 8
Fabric left = 4 5 / 8 - 1 6 / 8
                = 37 / 8 - 14 / 8 
                = 23 / 8
                = 2 7 / 8

Hope this helps :))

<em>~Top♥</em>
4 0
3 years ago
Name: Co
White raven [17]

Answer:

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.

Step-by-step explanation:

Let us first analyse the given information in the question:

→ Small paints (lets call them s) sell for $25.80 Per Painting, thus:

  25.80s gives as the profit for s number paints sold.

→ Large paints (lets call them l) sell for $56.25 Per Painting, thus:

  56.25l gives as the profit for l number paints sold.

We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:

s=3\\l=6         Eqn(1).

Thus the total profit of all paintings sold would be:

PROFIT= 25.80s+56.25l       which by pluggin in Eqn(1) values gives

PROFIT=25.80*3+56.25*6\\PROFIT=414.90

Thus last month Calvin made $414.90 from all the paintings sold at the art shows.

5 0
3 years ago
Find the area of a circle that has a diameter = 18
ki77a [65]

Answer:

About 254.469 square units

Step-by-step explanation:

To find the area of a circle, you need to multiply the square of the radius by pi. To find the radius of a circle, you need to divide the diameter by 2, which in this case is 18/2=9. Now, you can plug it into the formula to find that the area of this circle is \pi \cdot 9^2 \approx 254.469. Hope this helps!

4 0
3 years ago
When making a snack bowl, Drew mixes 76 cereal pieces with 19 marshmallows. How many cereal pieces are in Drew's snack mix for e
STatiana [176]

Answer:4


Step-by-step explanation:

76/19=4

5 0
3 years ago
At noon Joyce drove to the lake at 30 miles per hour. but she made the long walk back home at 4 miles per hour. How long did she
mars1129 [50]

Answer:

60 miles

Step-by-step explanation:

let d = distance to the lake

Using:  time = distance ÷ speed

Create expressions for the time it takes for each journey:

Drive:  t_1=\dfrac{d}{30}

Walk:   t_2=\dfrac{d}{4}

If total time = 17 hours

\implies t_1+t_2=17

\implies \dfrac{d}{30}+\dfrac{d}{4}=17

\implies \dfrac{17d}{60}=17

\implies 17d=1020

\implies d=\dfrac{1020}{17}

\implies d=60

Therefore she walked 60 miles

3 0
2 years ago
Read 2 more answers
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