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Vadim26 [7]
2 years ago
8

A landscaping company placed three orders with a nursery. The first order was for bushes, trees, and bundles of flowers, and tot

aled $579. The second order was for bushes, trees, and bundles of flowers, and totaled $272 . The third order was for bushes, trees, and bundles or flowers, and totaled $548. The bills do not list the price per item. What was the cost per bush, tree and bundle of flowers?
Mathematics
1 answer:
notsponge [240]2 years ago
8 0

To add the bushes and trees, to get 19 bushes and 6 trees, but this wouldn't get me anywhere, because I don't have subtotals for the bushes and trees.

So I'll pick variables (b for the number of bushes and t for the number of trees) and set up a system of equations:

first order: 13b + 4t = 487

second order: 6b + 2t = 232

Multiplying the second row by –2, I get:

13b + 4t = 487

–12b – 4t = –464

This says that b = 23.

Back-solving, I get that t = 47.

Of course, the exercise didn't ask for the values of the two variables. Translating back into English, the solution is,

each bush is $23 and each tree is $47.

To learn more about the variable visits:

brainly.com/question/2804470

#SPJ1

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Write an explicit formula for an, the nth term of the sequence 19,24,29
o-na [289]

Answer:

explicit formula for an, the nth term of the sequence 19,24,29

a_1=19 ; \ a_n=a_{n-1}+5

Step-by-step explanation:

We need to Write an explicit formula for an, the nth term of the sequence 19,24,29

In the sequence the First term a₁= 19

Common Difference d= 5

The Formula used for explicit formula is: a_1=First \ term ; \ a_n=a_{n-1}+d

Where d is common difference and n is nth term of sequence.

So, explicit formula for an, the nth term of the sequence 19,24,29

a_1=19 ; \ a_n=a_{n-1}+5

3 0
3 years ago
Find the coordinates of the vertices of the triangle after a 270° rotation
Minchanka [31]

Answer:

Step-by-step explanation:

(a). 270° clockwise or 90° counterclockwise:

(x, y) --------> ( - y, x )

(b). 270° counterclockwise or 90° clockwise:

(x, y) ---------> ( y, - x )

8 0
2 years ago
Question in picture. The first box is A, the second box is B, etc.
TiliK225 [7]

Answer:

4th box and 1st box

Step-by-step explanation:

I learned this 7th nd passed it so u should be chillin

4 0
3 years ago
Read 2 more answers
A study was conducted to determine if the salaries of elementary school teachers from two neighboring districts were equal. A sa
Semenov [28]

Answer:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

(–2975, 175)

Do not reject H₀

Step-by-step explanation:

Hello!

The objective of this experiment is to test if the salaries of elementary school teachers are equal in two districts. You can test this trough the population means of the salaries of the teachers if they are either equal or different or directly test if the difference between the salaries of the two districts is cero or not, symbolically: μ₁ - μ₂ = 0

Remember, in the null hypothesis is usually stated the known information, is the "no change" premise and always carries the = symbol.

The hypothesis is:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

You have two normally distributed variables and you are studying the difference of the means. You can use a pooled Z to make the interval, the formula is:

X[bar]₁-X[bar]₂ ± Z_{1-\alpha /2}*(√(σ₁²/n₁+σ₂²/n₂)

Since the test is two-tailed and at a signification level of 5% I've made the interval at the complementary confidence level of 95% so that I can use it to decide over the hypothesis.

X[bar]₁-X[bar]₂ ± Z_{1-\alpha /2}*(√(σ₁²/n₁+σ₂²/n₂)

Z_{1-\alpha /2} = Z_{0,975} = 1,96

[28900-30300 ± 1.96*(√((2300)²/15+(2100)²/15)]

[-1400 ± 1576,15]

[-2976.15;176,15]

Since I've approximated to two decimal units in the intermediate calculations, the values ​​differ slightly, but the interval is:

(–2975, 175)Now, since the 0 is contained in the Confidence interval, the decision is to not reject the null hypothesis. In other words, the difference in average salaries between the two districts is cero.

I hope it helps!

4 0
2 years ago
Lisa is 53 3 4 inches tall. Joey is 1 1 2 inches shorter than Lisa and Jane is 1 1 5 inches shorter than Joey. How tall is Jane?
tester [92]

Answer: Jane's height =  51\dfrac{1}{20}\text{ inches}

Step-by-step explanation:

Given: Lisa's height = 53\dfrac34\text{ inches}=\dfrac{4\times53+3}{4}\text{ inches}

=\dfrac{215}{4}\text{ inches}

Joey's height = \dfrac{215}4-1\dfrac12 inches

=\dfrac{215}4-\dfrac32\\\\=\dfrac{215-6}{4}\\\\=\dfrac{209}{4}\text{ inches}

Jane's height = \dfrac{209}{4}-1\dfrac15 inches

=\dfrac{209}{4}-\dfrac{6}{5}\\\\=\dfrac{209\times5-6\times4}{20}\\\\=\dfrac{1045-24}{20}\\\\=\dfrac{1021}{20}\\\\=51\dfrac{1}{20}\text{ inches}

Hence, Jane's height = 51\dfrac{1}{20}\text{ inches}

3 0
2 years ago
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