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coldgirl [10]
2 years ago
11

A fruit basket contains oranges and grape fruits. One-third of the oranges and one-fourth of the grapefruits were spoiled. You t

hrew away 4 oranges and 7 grapefruits. How many peices of fruit were in the basket? ( write in algebraic form using the reciprocal property )
Mathematics
1 answer:
den301095 [7]2 years ago
5 0
So if 1/3 0f the oranges equals 4, than you times it by three to get 3/3, so there were 12 oranges and 28 grapefruits, so the answer is 40
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sophie makes homemade pizza dough.The recipe calls for 2 cups of flour for every 1/3 cup of water.What is the rate in cups of fl
Zarrin [17]

Answer:

the rate is: 6 cups of flour per cup of water

Step-by-step explanation:

Recall that rate involve quotient of the two quantities in question:

Then cups of flour per cups of water is the quotient: 2 cups of flour divided by 1/3 cup of water:

\frac{2}{\frac{1}{3} } =2\,*\,\frac{3}{1} = 6

this means 6 cups of flour per cup of water

6 0
2 years ago
Read 2 more answers
Complete the following proof. Given: Points R, S, T, Q on circle O Prove: m\overarc RS + m\overarc ST + m\overarc TQ + m\overarc
LekaFEV [45]

Answer:

360°

Step-by-step explanation:

From the figure attached,

R, S, T and Q are the points on a circle O.

Since, "measure of an arc of a circle is equal to the measure of the angle subtended by the arc at the center."

By this statement,

m(\widehat{RS})=m(\angle ROS)

m(\widehat{ST})=m(\angle SOT)

m(\widehat{TQ})=m(\angle TOQ)

m(major arc RQ) = m(∠QOR)

Now m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ}) + m(major arc RQ) = m(\angle ROS)+m(\angle SOT)+m(\angle TOQ)+m(\angle QOR)

Since sum of all angles at a point = 360°

m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ}) + m(major arc RQ) = 360°

4 0
1 year ago
At the beginning of the business day, a bank's vault held $575,900. By the end of the day, $(3.5 103) had been added to the vaul
Likurg_2 [28]

3.5*10^3=3,500

3,500+ 575,900=579,400

5 0
2 years ago
What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
babymother [125]
We can use t=x^2 to solve this
Once we do that we will have simple square equation which we know how to solve.

t^2 + 3t + 2 = 0

t1 = -1
t2 = -2

x1 = √-1 = i
x2 = -i

x3 = √-2 = i√2
x4 = -i√2

Make sure you know that i^2 = -1 and (-i)^2 = -1 which gives us solutions we got...
3 0
2 years ago
Read 2 more answers
What are the factors of the polynomial function? Use the rational root theorem to determine the factors. f(x) = 2x³ + x² - 8x -
fredd [130]

Answer:

( x + 2 ) ( x - 2 ) ( 2x + 1)

Step-by-step explanation:

coefficient of x³ is 2 and denote it with q and denote -4 as p

the set of possible rational roots through rational theorem will be within ± (p/q)

now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

substitute each of the value into the equation

f(x) = 2x³ + x² - 8x - 4 to the root ( that gives f(x) = 0)

the equation can be made easy writing it in reduced form

2x³ + x² - 8x - 4

(2x³ + x²) - (8x + 4)

x² (2x + 1) - 4 (2x + 1)

(x² - 4) (2x + 1)

( x + 2 ) ( x - 2) ( 2x + 1) are the factors which correspond to 2, -2, -1/2 roots

4 0
2 years ago
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