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3 years ago

Solve for z. z−4/9−1/3=5/9

Mathematics

2 answers:

uysha [10]3 years ago

7 0

Answer: The required value of z is $\dfrac{4}{3}.$

Step-by-step explanation: We are given to solve the following equation for z :

$z-\dfrac{4}{9}-\dfrac{1}{3}=\dfrac{5}{9}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the given equation for z, we need to take all the constant terms on the right-hand side of the equation.

From equation (i), we have

$z-\dfrac{4}{9}-\dfrac{1}{3}=\dfrac{5}{9}\\\\\\\Rightarrow z=\dfrac{5}{9}+\dfrac{1}{3}+\dfrac{4}{9}\\\\\\\Rightarrow z=\dfrac{5+3+4}{9}\\\\\\\Rightarrow z=\dfrac{12}{9}\\\\\Rightarrow z=\dfrac{4}{3}.$

Thus, the required value of z is $\dfrac{4}{3}.$

laila [671]3 years ago

4 0

Z-4/9-1/3=5/9
z-4 =5/9(9-1/3)

z-4 =4.414814815

z =8.814

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The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.

Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

$\overline{CD} = 12 \: units$

$\overline{C'D'}$

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

$\overline{C'D'} = n \times \overline{CD}$

Option A

If n=3/2, then

$\overline{C'D'} = \frac{3}{2} \times 12 = 3 \times 6 = 18 \: units$

This is true.

Option B

If n=4, then

$\overline{C'D'} = 4 \times 12 = 36 \: units$

This is false.

Option C

If n=8, then

$\overline{C'D'} = 8 \times 12 = 96 \: units$

This too is false.

Option D

If n=2, then

$\overline{C'D'} = 2 \times 12 = 24 \: units$

This is true

Option E

If n=3/4, then

$\overline{C'D'} = \frac{3}{4} \times 12$

$\overline{C'D'} = 3 \times 3 = 9 \: units$

This is also true.

4 0

3 years ago

I need help with #2 please I don’t understand

kipiarov [429]

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6 0

3 years ago

Read 2 more answers

Check all the answers that represent the same level of precision,

Lostsunrise [7]

100 Is I was just like oh oh and then you are in the church

6 0

3 years ago

Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

<u>5% account:</u>

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

Amount in 4% account: $550

Amount in 5% account: $950

8 0

3 years ago

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Vadim26 [7]

Answer:

m = - 1

Step-by-step explanation:

9m + 13 = 4

subtract 13 from both sides

9m = 4 - 13

9m = - 9

divide both sides by 9

m = - 1 (negative 1)

5 0

2 years ago