15(2b+3) I need to simplify the following the expression

Mathematics

2 answers:

Nina [5.8K]3 years ago

7 0

Distribute the 15 through the parentheses, like so-
30b+45

mel-nik [20]3 years ago

7 0

Answer:

30b+45

Step-by-step explanation:

you have to distribute the 15 to all terms inside the parentheses:

(15x2b)+(15x3)=30b+45

30b+45 is your awnseer

You might be interested in

One term of (x+y)^m is 31,824x^18y^11<br> What is the value of m ?

alisha [4.7K]

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of $(x+y)^m$ is $31,824x^{18}y^{11}$ ...(i)

We know that that (r+1)th term in $(a+b)^n$ is given by :-

$T_{r+1}=^nC_ra^{n-r}b^r$ ...(ii)

On comparing (i) with (ii) , we get

$a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m$

i.e.

$m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29$

Hence, the value of m is 29.

7 0

3 years ago

A truck can travel 80 miles in the same time that ot takes a car to travel 90 miles. If the truck’s rate is 5 miles per hour slo

SIZIF [17.4K]

The truck was going 40 miles per hour

The amount of time was 2 hours:
(90-80: 10)(10/2=5)

80 divided by two is 40

The car was going 45 miles per hour

(90-80:10)(10/2=5)

90 divided by two is 45

Hopefully you find this helpful

3 0

3 years ago

Given uv = su tu sv prove vt = st

Lady bird [3.3K]

Answer: see proof below

<u>Step-by-step explanation:</u>

$\begin{array}{cl|cl}&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}$