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oee [108]
3 years ago
5

Jerry has 8/9 gallon of paint. He uses 3/4 of it to paint his treehouse. How much paint is left?

Mathematics
1 answer:
mariarad [96]3 years ago
8 0
.666 gallons, you multiply 8/9 by 3/4
and thats how you do it.
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In Terry's hometown, the probability of snow on Saturday is approximately 0.07. Which of the following
Dmitry [639]

Answer:

c

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

the probability it would snow is 0.07 or 7%. this is quite low. so, it is unlikely that it would snow

3 0
3 years ago
Read 2 more answers
I can’t figure out how to use the zeros in the polynomial. Please explain
Temka [501]

Answer:

a) P (x) = (x + 3) (x-1) (x-4)

b) P (x) = (2x + 5) (5x - 4) (x-6)

c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

---------------------------------------

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

--------------------------------------

x = 6\\\\(x-6) = 0

--------------------------------------

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

--------------------------------------

x = 1\\\\(x-1) = 0

--------------------------------------

x = 4\\\\(x-4) = 0

----------------------------------------

x = -1\\\\(x + 1) = 0

-----------------------------------------

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

8 0
3 years ago
Luke’s that seven pieces of wood on top of one another if each piece was 4/8 of a foot tall how tall was his pile
Ludmilka [50]

Answer:

6 1/2 feet or 78 inches tall

Step-by-step explanation:

You have to multiply 4/8 by 7/1

First you multiply the nominators: 4 × 7 = 28

Then you multiply the denominators: 8 × 1 = 8

So the fraction would be 28/8 and it simplifies to 7/2

You can turn it into an improper fraction by seeing how many times 2 will go into seven evenly, which would be 6 times with 1 half left over

Therefore it would be 6 1/2 feet or 78 inches tall

8 0
3 years ago
Please help me with this math problem!
Mice21 [21]
W=x
L=2x+17

Double everything since we need to lengths and two widths to find the perimeter

2x+17+2x+17+x+x = 76
Combine like terms

6x+34=76
Solve for x
First step is subtract 34 from both sides

6x=42
Next you divide both sides by 6 in order to get x by itself

X=7

Now you plug in 7 into the x’s in length and width

W=7 cm
L=31 cm

THE WIDTH IS 31 CM

Check:

7+7+31+31 = 76 cm
It equals 76 cm just like the problem said so therefore it is right.

7 0
3 years ago
In isosceles $\triangle abc$ (with $ab = ac$), point $d$ lies on $ab$ such that $cd = cb$. if $\angle adc = 115^\circ$, what is
Nuetrik [128]

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

3. Triangle ABC is isosceles, with base BC. Then

m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

4. Angles BCD and DCA together form angle ACB. This gives you

m∠ACB=m∠ACD+m∠BCD,

m∠ACD=65°-50°=15°.

Answer: 15°.

3 0
3 years ago
Read 2 more answers
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