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ycow [4]
3 years ago
9

Does anyone know the answer to this question?

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0
D. 3 √3

I'm using the Pythagorean theorem wherein: a² + b² = c² (hypothenus)

a = unknown
b = 3
c = 6

a² + 3² = 6²
a² = 6² - 3²
a² = 36 - 9
a² = 27
a = √27

a = √9 * 3
a = 3 √3
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Mrs. Carlyle bought a bag of peanuts for her children. when Philip Joy Brent and Preston came home from school and they each too
Ilia_Sergeevich [38]

Answer:

Total peanut=324

Step-by-step explanation:

Let the peanut=x

Philip took 1/3 of x

Remaining peanut=x-1/3x

=3x-x/3

=2/3x

Joy took 1/4 of the remaining leaving 3/4

Remaining=(3/4)(2x/3)

=6x/12

=1/2x

Brent took 1/2 of those, leaving 1/2

=(1/2)*(1/2x)

=1/4x

Preston took 10

Remaining

1/4x - 10 = 71

1/4x = 81

x=81÷1/4

=81*4/1

x = 324

Total peanut =324

Philip=1/3x

=1/3*324

=108

Remaining 324-108

=216

Joy=1/4 of 216

=54

Remaining

324-108-54=162

Brent=1/2 of 162

=81

Preston=10

Total taken=Philip+joy+Brent+Preston

=108+54+81+10

=253

Total remaining=Total peanut - total taken

=324-253

=71

5 0
3 years ago
A system of equations has definitely many solutions. If 2y-4x=6 is one of the equations, which could be the other equation?
NISA [10]

The given equation is ⇒⇒⇒ 2y - 4x = 6

∴ 2y = 4x + 6   ⇒ divide all the equation over 2

∴ y = 2x + 3  and it can be written as ⇒⇒⇒ y - 2x = 3

The last equation represents a straight line with a slope = 2 and y-intercept = 3

To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.

so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a

Where a is constant and belongs to R ( All real numbers )

The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>

8 0
3 years ago
Discuss his principles of inheritance by answering the following questions. Two plants are being crossed, each heterozygous for
disa [49]

Answer:

Q1 - What is the possibility that the offspring will have white flowers? Express your answer as a ratio.

A: White flowers only appear if the offspring is homozygous for b because this phenotype is recessive, so they have to present bb phenotype. If both parents are heterozygous (Bb), each one gives one gene at a time per individual after crossing, so 1/4 would be BB, 2/4 would be Bb and 1/4 would be bb.

Q2 - If one parent is also heterozygous for smooth peas, does this mean that all of the offspring with blue flowers will also have smooth peas? Explain your answer without using a Punnett square.

A: No, it doesn't mean that all blue flowers will present smooth peas because those genes are expressed in different loci, so they segregate independently.  There might be some blue flowers with smooth peas, but that is not mandatory for all of them.

Q3 - Suppose both parents are also heterozygous for smooth peas (S), with wrinkled peas (s) as the recessive trait. Use a Punnett square to predict the possibility that the offspring will be homozygous for both flower color and pea texture. Make sure to include a Punnett square and express your prediction as a ratio.

A: Parental genotypes are BbSs x BbSs. Given that the genes segregate independently, we will have the Punnett diagram as follows:

        BS        /    Bs    /     bS   /   bs

BS    BBSS   / BBSs  / BbSS  / BbSs

Bs    BBSs   / BBss  / BbSs   / Bbss

bS    BbSS  / BbSs  / bbSS  / bbSs

bs     BbSs / Bbss  / bbSs  / bbss

Homozygous genotypes are the ones that both genes are the same when expressed, either BB,bb,SS or ss. The probability the offspring is homozygous for both flower color and pea texture is 4/16, or 1/4.

5 0
3 years ago
Ashley has $150 in her bank account. She buys a bike for $200. Now her account balance is -$50. If she deposits the $75 she rece
polet [3.4K]

Answer:

She will have $25.00 in her bank account!

Step-by-step explanation:

If she has -$50 and adds 75 that is filling in the negative hole and adding $25 to the 0 she would have. ;) hope this helps!

4 0
3 years ago
The area of a rectangular garden is 5828 m
evablogger [386]

Answer:

The length of the garden is 94 m.

Step-by-step explanation:

you do 5828 m. divided by 62m. and that is how you get your answer of 94 m.

6 0
3 years ago
Read 2 more answers
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