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3 years ago

I NNEEEDDDDDD HELPPPPP PLEASEEEE

Mathematics

2 answers:

Oksana_A [137]3 years ago

6 0

Answer:

193 = 7s + 8l ( Grad Party Equation)

92 = 8s + 2l (Father's Day Equation)

The small balloon bouquet uses 7 balloons and the large one uses 18 balloons

Step-by-step explanation:

First we need to separate something, I chose l...

92 = 8s + 2l
2l = 92 - 8s
l = 46 - 4s

...and we can replace this for l in the other equation!

193 = 7s + 8( 46 - 4s )
193 = 7s + 368 - 32s
-175 = -25s
7 = s

Now that we have found the number of balloons needed for a small bouquet we can place that in an equation to find out how many balloons it takes to make a large bouquet.

l = 46 - 4(7)
l = 46 - 28
l = 18

Now just to make sure we got that right. Just check them!

Grad Party Equation

193 = 7s + 8l
193 = 7(7) + 8(18)
193 = 49 + 144
193 = 193

We got one right and the other one...

Fathers Day Equation

92 = 8s + 2l
92 = 8(7) + 2(18)
92 = 56 + 36
92 = 92

We got both right yay!

NikAS [45]3 years ago

3 0

Answer:

The small balloon bouquet uses 7 balloons and the large one uses

18 balloons.

Step-by-step explanation:

Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:

6S + 6L= 150

S+L= 25 ----> 1st equation

For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:

6S + 1L= 60

1L= 60- 6S ----> 2nd equation

We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:

S+L = 25

S+ (60-6S)= 25

-5S= 25-60

-5S= -35

S= -35/-5

S=7

Then we can find L by substitute S value to 1st or 2nd equation.

S+L=25

7+L=25

L=18

Hope this helps ;)

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Svetach [21]

Answer:

Step-by-step explanation:

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3 years ago

Given the equation −4x + 10 = 2, which order of operations completely solves for x?

hammer [34]

Hi there!

Answer:
The answer is "Subtract 10, then divide by −4"

Explanation:
To solve a linear equation (for x) we need to isolate the variable (x). First we need to bring the variables to the left side (in this case, it is already on the correct place). Next up is bringing all the integers to the right side. Therefore, we must first subtract 10. Our final step is dividing by the number that is placed in front of x (in this case divide by −4)

Solving the equation:
−4x + 10 = 2
First subtract 10 (from both sides of the equation)

−4x = −8
Divide by −4

x = −8 / −4 = 2
Therefore, the solution is x = 2

I hope this anwer helps you!

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3 years ago

The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standar

Serggg [28]

Answer:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

$\bar x$ represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=10-1=9$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical values.