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Alenkinab [10]
3 years ago
8

A flower shop sells tulips and roses. The price of each tulip is the same and the price of each roses the same. One customer bou

ght seven tulips and nine roses for $25.90. Another customer bought for two lips and eight roses for $19.80 how much will it cost a customer to buy five tulips and six roses
Mathematics
1 answer:
Talja [164]3 years ago
7 0

Answer: it cost a customer $7.25 to buy five tulips and $10.5 to buy six roses.

Step-by-step explanation:

Let x represent the cost of 1 tulip.

Let y represent the cost of 1 rose.

The price of each tulip is the same and the price of each roses the same. One customer bought seven tulips and nine roses for $25.90. This means that

7x + 9y = 25.9 - - - - - - - - - - - - - - 1

Another customer bought for four tulips and eight roses for $19.80. This means that

4x + 8y = 19.8- - - - - - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 7, it becomes

28x + 36y = 103.6

28x + 56y = 138.6

Subtracting, it becomes

- 20y = - 35

y = - 35/ - 20

y = 1.75

Substituting y = 1.75 into equation 2, it becomes

4x + 8 × 1.75 = 19.8

4x + 14 = 19.8

4x = 19.8 - 14 = 5.8

x = 5.8/4

x = 1.45

The cost of 5 tulips would be

1.45 × 5 = $7.25

The cost of 6 roses would be

1.75 × 6 = $10.5

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How long does it take a 2700 dollar investment compounded monthly at 9% to make 500 dollars
valina [46]

Answer:

23 months

Also please note that it's everytime ^t/12 not (^t)/12

Step-by-step explanation:

Principal (P) = $2700

rate = 9%

t = ?

Amount = P(1+\frac{r}{100} )^(t/12)

Amount = 2700 +500 = $3200

So substituting all our values we get :

3200 = 2700(1+\frac{9}{100})^(t/12)\\ 3200=2700(1+0.09)^(t/12)\\3200 = 2700(1.09)^(t/12)\\\frac{3200}{2700}  =1.09^(t/12)

So we use log to solve for t :

t/12=log_{1.09} (\frac{3200}{2700})\\

Solving this using a calculator we get:

1.9714966193*12

=23 months

7 0
3 years ago
Help plz I’ll mark Brainly
MrMuchimi

Answer:x=2; second option

Step-by-step explanation:

120+10x=140

10x=20

X=2

8 0
3 years ago
Read 2 more answers
Suppose that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage
Zigmanuir [339]

Answer:

We conclude that the percentage of blue candies is equal to 29​%.

Step-by-step explanation:

We are given that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%.

Let p = <u><em>population percentage of blue candies</em></u>

So, Null Hypothesis, H_0 : p = 29%     {means that the percentage of blue candies is equal to 29​%}

Alternate Hypothesis, H_A : p \neq 29%     {means that the percentage of blue candies is different from 29​%}

The test statistics that will be used here is <u>One-sample z-test for</u> <u>proportions</u>;

                         T.S.  =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of blue coloured candies = 28%

           n = sample of colored​ candies = 100

So, <u><em>the test statistics</em></u> =  \frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }

                                    =  -0.22

The value of the z-test statistics is -0.22.

<u>Also, the P-value of the test statistics is given by;</u>

               P-value = P(Z < -0.22) = 1 - P(Z \leq 0.22)

                            = 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, <u><em>so we insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29​%.

4 0
3 years ago
plssss help me this is due tomorrow morning
Veronika [31]

Find percent -> 2nd month.

4264*.25==1066 phone calls+=4264

==5330 for 2nd month.

for 2nd -> 3rd

6396==5330*x, solve algebraically to get .20  == 20% increase from 2nd month to 3rd month.

7 0
3 years ago
I don't understand how to find X. Can someone please explain it to me step by step?
NeX [460]

Answer:

x=1.2 I think......

Step-by-step explanation:

hypotenuse = c

Using base and hypotenuse to find the perimeter first......

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4 0
3 years ago
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