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ohaa [14]
3 years ago
15

97% of 400 is what number

Mathematics
2 answers:
sergeinik [125]3 years ago
7 0
P•N=A. 97% • 400= but you can't leave it as a percent so you change it to an decimal so it would be 0.97 • 400= 388. Answer 388=A
love history [14]3 years ago
4 0
400/1 times  97/100 = <span>38800/100 = 388

</span>
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One number is 3 more than another. The product of the number is 54 . Find the numbers.
Mice21 [21]

Answer:

6 and 9

Step-by-step explanation:

set up an equation and solve for x

(x+3) * x = 54

easiest way to to try some numbers.

if you know your multiplication tables...

what two number multiplied together are 54

be sure the numbers you are thinking of meet the rules

is one 3 more than the other

do they multiply together to get 54

6 0
3 years ago
What is the answer to the qustion 0.3h+1.2=0.1h-2.6
andreev551 [17]

Answer:

-19

Step-by-step explanation:

0.3h+1.2=0.1h-2.6

.2h+1.2=-2.6

.2h=-3.8

h=-19

7 0
3 years ago
A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
2 years ago
90 points!!! Algebra - Please check these
Korvikt [17]

First picture:

2 and 7 are alternate exterior angles, which when added together need to equal 180 degrees.

Angle 7 = 180 - 146 = 34

Answer is B.34

Second picture:

Angle 8 = 48

Angle 8  + angle 7 = 180

Angle 7 = 180 - 49 =  131

Angle 5 and angle 7 are vertical angle, so angle 5 = angle 7 = 131

Angle 6 is a vertical angle to angle 8 so = 49

Angle 1 = angle 5 = 131

Angle 2 = angle 6 = 49

Angle 3 = angle 7 = 131

Angle 4 = angle 8 = 49

4 0
3 years ago
Read 2 more answers
Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
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