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3 years ago

The sum of a number times 6 and 4 equals 5

1 answer:

3 0

5= (6+4)x
5= 10x

5= 10x then divide by 10 to get the variable by itself
__ ___
10 10
.5 = x you can use .5 or 1/2

hope this helps!
:)

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In ΔCDE, \overline{CE}

abruzzese [7]

Answer:

$m\angle CDE=14^o$

Step-by-step explanation:

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

see the attached figure to better understand the problem

∠DEF=∠ECD+∠CDE

substitute the given values

$(4x+5)^o=(x+9)^o+(x+8)^o$

solve for x

Combine like terms

$(4x+5)^o=(2x+17)^o$

Group terms

$4x-2x=17-5$

$2x=12$

$x=6$

Find the measure of angle CDE

$m\angle CDE=(x+8)^o$

substitute the value of x

$m\angle CDE=(6+8)=14^o$

8 0

3 years ago

B) Two less than the square of a number

Furkat [3]

??? Where’s the rest of that problem

8 0

3 years ago

The ratio of susan's money to isabella's money is 2:11. if susan $12, how much money does isbella have?

valentina_108 [34]

If Susan had 2$ and got to 12$ we need to find what multiplied by 2 = 12. So, 12/2=6
If 6x2=12 then 11x6=66
66$

7 0

3 years ago

What is equivalent to k/2

Mazyrski [523]

Answer:

k x 1/2

Step-by-step explanation:

because k x 1/2 = k/2

8 0

2 years ago

A family wants to save for college tuition for their daughter. What continuous yearly interest rate r% is needed in their saving

sergey [27]

Answer:

The continuous yearly interest is 22.5% per year.

Step-by-step explanation:

Continuous yearly interest:

Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.

The formula for continuous interest yearly is

$A=Pe^{rt}$

where A = The final amount =$110,000

P= principle =$4,700

r= rate of interest

t= time (in year)= 14 years

$\therefore 110,000= 4,700e^{r\times 14}$

$\Rightarrow e^{14r}= \frac{110,000}{4,700}$

Taking ln both sides

$\Rightarrow ln e^{14r}= ln(\frac{110,000}{4,700})$

$\Rightarrow {14r}= ln(\frac{1100}{47})$

$\Rightarrow r=\frac{ln( \frac{1100}{47})}{14}$

$\Rightarrow r = 0.225$ (approx)

The continuous yearly interest is 0.225 = 22.5% per year.

4 0

3 years ago