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3 years ago

9

The ratio of boys to girls in the class is 5 to 6. If there are 85 boys in the school, how many girls number of students are in

the school

1 answer:

Degger [83]3 years ago

6 0

Answer:

There are 55 girls in the School

Step-by-step explanation:

5×6=30

85-30=55

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A jeweler has 5 rings, each weighing 12 g, made of an alloy of 20% silver and 80% gold. She decides to melt down the rings and a

Aleksandr [31]

We have been given that a jeweler has 5 rings, each weighing 12 g, made of an alloy of 20% silver and 80% gold.

Upon melting all 5 rings, the weight of the material will be 12*5=60 grams.

We have been given that the alloy contains 20% silver and 80% gold. Further, let us assume that x grams of silver are added to the melted material so that it has 64% gold and 36% silver.

Therefore, we can set up an equation:

$\text{Amount of gold before mixing}=\text{Amount of gold after mixing}$

Therefore, we get an equation:

$80\%\text{ of 60 gram}=64\%\text{ of (x+60) gram}$

$0.80*60=0.64(x+60)\\48=0.64x+38.4\\0.64x=9.6\\x=\frac{9.6}{0.64} \\x=15$

Therefore, 15 grams of silver must be added to the melted material in order to reduce the gold content to 64%.

3 0

3 years ago

Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid

Bezzdna [24]

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

6 0

3 years ago

Find the average rate of change of each function over the interval [0, 2]. Match each representation with its respective average

marishachu [46]

Average rate of change over interval [a,b]: r=[f(b)-f(a)]/(b-a)
In this case the interval is [0,2], then a=0, b=2
r=[f(2)-f(0)]/(2-0)
r=[f(2)-f(0)]/2

1) First function: h(x)
r=[h(2)-h(0)]/2
x=2→h(2)=(2)^2+2(2)-6
h(2)=4+4-6
h(2)=2
x=0→h(0)=(0)^2+2(0)-6
h(0)=0+0-6
h(0)=-6
r=[h(2)-h(0)]/2
r=[2-(-6)]/2
r=(2+6)/2
r=(8)/2
r=4

2) Second function: f(x)
A function, f, has an
x-intercept at (2,0)→x=2, f(2)=0
and a y-intercept at (0,-10)→x=0, f(0)=-10
r=[f(2)-f(0)]/2
r=[0-(-10)]/2
r=(0+10)/2
r=(10)/2
r=5

3) Third function: g(x)
r=[g(2)-g(0)]/2
From the graph:
g(2)=6
g(0)=2
r=(6-2)/2
r=(4)/2
r=2

4) Fourth function: j(x)
r=[j(2)-j(0)]/2
From the table:
x=2→j(2)=-8
x=0→j(0)=4
r=(-8-4)/2
r=(-12)/2
r=-6

Answer:
Pairs
1) h(x) 4
2) f(x) 5
3) g(x) 2
4) j(x) -6

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4 years ago

Which equation has a graph perpendicular to the graph 7x=14y-8

IrinaVladis [17]

<span>Slope-intercept form is y = mx + b
m is the slope
b is the y-intercept

7x = 14y - 8

7x + 8 = 14y {added 8 to each side}
(1/2)x + (8/14) = y
slope is 1/2

A line perpendicular would have a slope of -2 {the negative reciprocal of 1/2}

#1 y = -2x - 7 {it is the only one with a slope of -2}</span>

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3 years ago

Help pleaseI don’t understand

Natalka [10]

Answer:

Angle 3 is 65

Angle 8 is 115

Step-by-step explanation:

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3 years ago

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