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deff fn [24]
3 years ago
10

Express the ratio 700g to 1.75kg in its lowest terms.

Mathematics
1 answer:
Ugo [173]3 years ago
3 0

Answer:

2 : 5

Step-by-step explanation:

700 g : 1.75 kg

Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g

700 g : 1.75 kg × 1000

700 g : 1750 g

÷ 50 ÷50

14 : 35

÷7 ÷7

2 : 5

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Laura spent 78.5% of her paycheck on her mortgage payment. If her paycheck was $1562 how much was her mortgage?
torisob [31]

Answer:

$337.12

Step-by-step explanation:

Multiply $1562 by 78.5% (or 0.785) =1230.88

Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)

1562-1230.88=337.12

5 0
3 years ago
A machine produces 268 bolts in 28 minutes. At the same rate, how many bolts would be produced in 21 minutes?
s344n2d4d5 [400]
268/28 = 9.6
9.6 * 21 = 201.6
201 bolts
5 0
4 years ago
Read 2 more answers
A function f is described by f(x)=A*exp(kx)+B, where A, B and k are constants. Given f(0)=1, f(1)=2, and that the horizontal asy
s2008m [1.1K]

Answer:

k = ln (6/5)

Step-by-step explanation:

for

f(x)=A*exp(kx)+B

since f(0)=1, f(1)=2

f(0)= A*exp(k*0)+B = A+B = 1

f(1) = A*exp(k*1)+B =  A*e^k + B = 2

assuming k>0 , the horizontal asymptote H of f(x) is

H= limit f(x) , when x→ (-∞)

when x→ (-∞) , limit f(x) =  limit (A*exp(kx)+B) = A* limit [exp(kx)]+B* limit = A*0 + B = B

since

H= B = (-4)

then

A+B = 1 → A=1-B = 1 -(-4) = 5

then

A*e^k + B = 2

5*e^k + (-4) = 2

k = ln (6/5)    ,

then our assumption is right and k = ln (6/5)  

8 0
3 years ago
What are the 2 numbers ?
gizmo_the_mogwai [7]

Answer:

Option D, 15 and 10

Step-by-step explanation:

<u>Step 1:  Convert the words into an expression</u>

A number is 5 less than 2 times another number.  Their sum is 25.

<em>2x - 5 = 25</em>

<em />

<u>Step 2:  Solve for x</u>

2x - 5 + 5 = 25 + 5

2x / 2 = 30 / 2

<em>x = 15</em>

<em />

Answer:  Option D, 15 and 10

6 0
3 years ago
Scott will rent a car for the weekend. He can choose one of two plans. the first plan has an initial fee of $55 and costs an add
Firlakuza [10]

Answer:

This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:

Plan I: Y=38+0.11X

Plan II: Y=49+0.07X

When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25

Step-by-step explanation:

8 0
3 years ago
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