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2 years ago

I'm desperate, this is my last assignment to do for now

Mathematics

1 answer:

zmey [24]2 years ago

4 0

Answer:

Given Below.
[ done below, side changing which changed sign + to - and - to + ]

Step-by-step explanation:

6. x + 21 = 56

→ x = 56 – 21

→ x = 35

7. n – 13 = 8

→ n = 8 + 13

→ n = 21

8. w – 7 =41

→ w = 41 + 7

→ w = 48

9. b + 22 = 89

→ b = 89 – 22

→ b = 67

10. z – 53 = 26

→ z = 26 + 53

→ z = 79

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A cube has a volume of 1/8 cubic meter. Complete the explanation for finding the length of each side of the cube. Express your a

musickatia [10]

Answer:

Volume of a cube= 1/8 cubic meter

We know that volume of a cube= side x side x side

$(side)^{3}$ = $\frac{1}{8}$

From here, we get side of cube= $\frac{1}{2}$ meter

Hence, the side of a cube = $\frac{1}{2}$ meter

We have to find a fraction, when it is multiplied by itself

$\frac{1}{2}$ x $\frac{1}{2}$ = $\frac{1}{4}$

Here we get our answer $\frac{1}{4}$

8 0

3 years ago

Find the solution to this system of equations <br> 3x+2y+3z=3 4x-5y+7z=1 2x+3y-2z=6 <br> x=? Y=? Z=?

Ede4ka [16]

Answer:

The solution is $x=2,\ y=0,\ z=-1.$

Step-by-step explanation:

You are given the system of three equations:

$\left\{\begin{array}{l}3x+2y+3z=3\\4x-5y+7z=1\\2x+3y-2z=6\end{array}\right.$

Multiply the first equation by 4, the second equation by 3 and subtract them. Then multiply the third equation by 2 and subtract it from the second equation:

$\left\{\begin{array}{l}3x+2y+3z=3\\4(3x+2y+3z)-3(4x-5y+7z)=4\cdot 3-3\cdot 1\\4x-5y+7z-2(2x+3y-2z)=1-2\cdot 6\end{array}\right.\Rightarrow \\\\\left\{\begin{array}{l}3x+2y+3z=3\\12x+8y+12z-12x+15y-21z=12-3\\4x-5y+7z-4x-6y+4z=1-12\end{array}\right.$

So,

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\-11y+11z=-11\end{array}\right.\Rightarrow \left\{\begin{array}{l}3x+2y+3z=3\\23y-9z=9\\y-z=1\end{array}\right.$

Multiply the third equation by 23 and subtract it from the second equation:

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23(y-z)=9-23\cdot 1\end{array}\right.\Rightarrow \left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\23y-9z-23y+23z=9-23 \end{array}\right.$

Hence,

$\left\{\begin{array}{rl}3x+2y+3z=3\\23y-9z=9\\14z=-14 \end{array}\right.\Rightarrow z=-1$

Substitute it into the second equation:

$23y-9\cdot (-1)=9\Rightarrow 23y+9=9\\ \\23y=0\\ \\y=0$

Substitute them into the first equation:

$3x+2\cdot 0+3\cdot (-1)=3\Rightarrow 3x-3=3\\ \\3x=6\\ \\x=2$

The solution is $x=2,\ y=0,\ z=-1.$

3 0

3 years ago

dirk sold 7 more than 2 times as many gym memberships this month than last month. this month he sold 43 memberships

adelina 88 [10]

Answer:

14.5

Step-by-step explanation:

I am smart

4 0

2 years ago

Read 2 more answers

Please help ASAP!!!! Thank you!

GarryVolchara [31]

It maybe be B if i am wrong i am sorry.

3 0

3 years ago

Read 2 more answers

A major issue facing many states is whether to legalize casino gambling. Suppose the governor of one state believes that more th

tangare [24]

Answer:

$H_0:p\leq0.55$

$H_a:p>0.55$

Step-by-step explanation:

Given : A major issue facing many states is whether to legalize casino gambling. Suppose the governor of one state believes that more than 55% of the state’s registered voters would favor some form of legal casino gambling.

i.e. claim : $p>0.55$

Since alternative hypothesis shows there is statistical difference between the groups tested , it takes >, < or , ≠ sign.

Thus , the given claim is representing the alternative hypothesis :

$H_a:p>0.55$

Then, the null hypothesis will be (exactly opposite of alternative hypothesis ):

$H_0:p\leq0.55$

Thus , the appropriate null and alternative hypotheses.:

$H_0:p\leq0.55$

$H_a:p>0.55$

7 0

3 years ago

I'm desperate, this is my last assignment to do for now​

I'm desperate, this is my last assignment to do for now