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
just olya [345]
3 years ago
9

A landscaping business bought 8 rose bushes and 15 daylilies for $193. They went back later and bought 3 more rose bushes and 12

daylilies for $117. How much does each daylily cost?
Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

Answer:

Each daylilies  cost $7

Step-by-step explanation:

Step one:

let roses be x

and daylilies be y

so

8x+15y=193--------------1

also

3x+12y=117--------------2

we can solve equations 1 and 2 by substitution

8x=193-15y

x=(193-15y)/8

put x= (193-15y)/8  in 3x+12y=117

3((193-15y)/8)+12y=117

(579-45y)/8+12y=117

579-45y=8(117-12y)

579-45y=936-96y

collect like terms

579-936=-96y+45y

-357=-51y

divide both sides by -51

y=-357/-51

y=7

Hence each daylilies  cost $7

put y=7 in eqn 1

8x+15(7)=193

8x+105=193

8x=193-105

8x=88

x=88/8

x=11

rose cost $8

You might be interested in
Write a linear factorization of the function.
mart [117]

Answer:

  f(x) = x^2 (x + 7i)(x - 7i)

Step-by-step explanation:

Factoring out x^2 gives ...

  f(x) = x^2(x^2 +49)

The factor with 49 can be considered to be the difference of two squares, where one of the squares is -49. Then its square root is ±7i, and the factorization of that term is ...

  x^2 +49 = (x +7i)(x -7i)

So, the overall factorization of f(x) is ...

  f(x) = x^2(x +7i)(x -7i)

4 0
3 years ago
Which shows the expression below in simplified form? (7 × 10-3) - (2.3 × 10-6) A. 6.9977 × 10-3 B. 6.99977 × 10-3 C. 6.9977 × 10
rosijanka [135]

Option A

(7 \times 10^{-3}) - (2.3 \times 10^{-6}) = 6.9977 \times 10^{-3}

<em><u>Solution:</u></em>

Given expression is:

(7 \times 10^{-3}) - (2.3 \times 10^{-6})

To evaluate the expression, let us make the exponent of 10 same

2.3 \times 10^{-6} = 0.0023 \times 10^{-6+3} = 0.0023 \times 10^{-3}

[ Here, decimal point is moved three times left, so add 3 ]

Therefore,

(7 \times 10^{-3}) - (2.3 \times 10^{-6}) = (7 \times 10^{-3}) - (0.0023 \times 10^{-3})

\text{Take the } 10^{-3} \text{ as common }

(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3}(7-0.0023)\\\\\text{ Solve for terms inside the bracket }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3} \times 6.9977\\\\\text{Therefore, the simplified expression is: }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 6.9977 \times 10^{-3}

Thus Option A is correct

6 0
4 years ago
Q={1,3,6,9,10,15} then rewrite in set builder method
AfilCa [17]

Answer:

{x:x is a multiple of 3, x ≤ 15}

4 0
2 years ago
Sam makes enough muffins to give 8 of her
Alex Ar [27]
Can you help I have tried 4 times

5 0
3 years ago
Read 2 more answers
In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6965 subjects randomly sele
vladimir1956 [14]

The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
Sample size (n) = 6965

Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

The test statistics for this data can be computed as:

\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

\mathbf{z = \dfrac{-0.0131}{0.0047929}}

z = -2.73

From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.

Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

P-value = P(Z ≤ - 2.73)

By using the Excel function =NORMDIST (-2.73)

P-value = 0.00317

P-value ≅ 0.003

Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

Learn more about hypothesis testing here:

brainly.com/question/15980493

#SPJ1

3 0
2 years ago
Other questions:
  • The function h is defined by h(x)=b−9÷x, where b is a constant. Find b, if the graph of h passes through the point (−6,19).
    9·1 answer
  • Find the slope of a line that is perpendicular to the line containing the points (–2, –1) and (2, –3). (1 point)
    15·1 answer
  • Which of the following is least like others rotator, deified, racecar, alright?
    9·1 answer
  • Everything is in the picture​
    9·1 answer
  • F(-7) = 9<br> f(-1) = - 10
    13·1 answer
  • What’s the distance between (2,4)and (2,-8)
    5·2 answers
  • Is triangle AXY inscribed in circle A?<br> yes<br> no
    5·2 answers
  • The function f(x) = x² is transformed to f(x) = 0.4(x + 1)? Which statement describes the effect(s) of the transformation on the
    12·1 answer
  • The answer to this.
    10·1 answer
  • A polynomial function p (x) has degree 3, and its zeros are –3, 4, and 6. What do you think is the equation of p (x)? Do you thi
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!