1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yaroslaw [1]
2 years ago
7

Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.

Mathematics
1 answer:
geniusboy [140]2 years ago
4 0

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

You might be interested in
3n + 7 in word form please help me
scoundrel [369]

Answer:

The product of 3 and a variable n plus 7

Step-by-step explanation:

8 0
3 years ago
20 POINTS
Nesterboy [21]

Answer:

  7.5 meters

Step-by-step explanation:

As with many quadrilaterals, pairs of sides have the same length, so the perimeter is twice the sum of two of the sides.

In a kite, generally, opposite sides have different lengths, so the perimeter is twice the sum of the lengths of opposite sides. That is

  51 m = 2(18m + side opposite)

  15 m = 2 × (side opposite)

  7.5 m = side opposite

_____

<em>Comment on side lengths</em>

In a rectangle or parallelogram, the perimeter is twice the sum of adjacent sides. A kite is different in that adjacent sides may be the same length. If the kite is not a rhombus, <em>opposite</em> sides are <em>always</em> different lengths.

4 0
3 years ago
Draw a diagram below on your paper use it to help Michael find out how much you will save if he's been 56 at the candy shop duri
finlep [7]
It’s 294790284849.9 equals ppñpp 66+1 is 69
8 0
3 years ago
In this exercise, we estimate the rate at which the total personal income is rising in a metropolitan area. In 1999, the populat
DiKsa [7]

Answer:

the rate at which total personal income was rising in the area in 1999 is $1,580,507,200 billion

Step-by-step explanation:

From the given information:

Let consider y to represent the number of years after 1999

Then the population in time (y) can be expressed as:

P(y) = 9400y + 924900

The average annual income can be written as:

A(y) = 1400y + 30388

The total personal income = P(y)  ×  A(y)

The rate at which the total personal income is rising is T'(y) :

T'(y) = P'(y)  ×  A(y)  + P(y)  ×  A'(y)

T'(y) = (9400y + 924900)' (1400y + 30388) + (9400y + 924900) (1400y + 30388)'

T'(y) = 9400(1400y + 30388) + (9400y + 924900) 1400

Since in 1999 y =0

Then:

T'(0) = 9400(1400(0) + 30388) + (9400(0) + 924900) 1400

T'(0) = 9400(30388) + (924900)1400

T'(0) = $1,580,507,200 billion

Therefore; the rate at which total personal income was rising in the area in 1999 is $1,580,507,200 billion

8 0
3 years ago
The mean annual inflation rate in the United States over the past 98 years is 3.37% and has a standard deviation of approximatel
Ksenya-84 [330]

Answer:

38.59% probability that inflation rate will be below 1.9% in 2019

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 3.37, \sigma = 5

If the annual inflation rate is normally distributed, what is the probability that inflation rate will be below 1.9% in 2019?

This is the pvalue of Z when X = 1.9. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.9 - 3.37}{5}

Z = -0.29

Z = -0.29 has a pvalue of 0.3859

38.59% probability that inflation rate will be below 1.9% in 2019

4 0
3 years ago
Other questions:
  • Express 4% as a ratio strength. <br> a. 1 : 100 <br> b. 4 : 100 <br> c. 1 : 50 <br> d. 1 : 25
    7·1 answer
  • the seating capacity of basketball stadium is 5782 the seats are arranged in 24 sections of the same size any seats over from th
    6·1 answer
  • The sum of two numbers is 82 and their difference is 26. find each of the numbers.
    14·2 answers
  • Please help me with this question!!
    6·2 answers
  • Step by step what is 3 (x+2)+5x
    8·1 answer
  • What is the constant term of 4x-2y+3
    14·2 answers
  • Consider the intersecting lines shown. Which of the following statements is true?
    10·1 answer
  • Abby packs plastic cubes in a box. Each cube is 1 square centimeter.
    15·1 answer
  • Order the numbers from least to greatest.<br><br> -1 4/5, 3/2, |- 7/4|, |-2.2|
    10·1 answer
  • Find 5 consecutive even integers such that<br> the largest is 12 less than twice the<br> smallest.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!