A triangle has side lengths of 15 millimeters and 14 millimeters that form an angle with a measure of 100 degrees.
Which figure represents this triangle?

Answer:

Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.

Step-by-step explanation:

With the information provided, you can say that the sum of the pounds of each type of candy is equal to 7, which can be expressed as:

x+y=7

Also, the statement indicates the 7 pound box costs $3.65 and you can say that the sum of the results of multiplying the price of each candy for the number of pounds is equal to $3.65, which is:

0.45x+0.65y=3.65

You have the following equations:

x+y=7 (1)

0.45x+0.65y=3.65 (2)

Now, you have to solve for x in (1):

x=7-y (3)

Then, you have to replace (3) in (2):

0.45(7-y)+0.65y=3.65

3.15-0.45y+0.65y=3.65

0.20y=0.50

y=0.50/0.20

y=2.5

Finally, you can replace the value of y in (3) to find x:

x=7-y

x=7-2.5

x=4.5

According to this, the answer is that Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.

Answer:

The area of the rectangle in terms of x :

S = ( 5x +2 )(3x-4) = 15x²−14x−8

=> x1=−2/5, x2= 4/3

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

#CarryOnLearning

Answer:

69.993

Step-by-step explanation:

Using the percentage error formula:

Percentage error = (true - measured value / true measurement ) * 100%

1% error in measurement

1% of 69.3

0.01 * 69.3 = 0.693

True measurement = error in measurement + measured value

True measurement = 0.693 + 69.3

Actual measurement = 69.993

Hence, actual measurement = 69.993.

Answer:

Submarine submerges at the rate of =5m/min

descend starts from = 20m

submarine have to reach = -250m

Distance between above sea level to below sea level = 250 + 20 = 270m

time taken to reach 270 m = 270/5= 54 minutes

Step-by-step explanation:

Hope this helps:)

Answer:

2x² - 8x + 3

Step-by-step explanation:

( 3x² - 5x +3) + (-x² - 3x)

= 3x² - 5x +3 - x² - 3x

= 3x² - x² - 5x - 3x + 3

= 2x² - 8x + 3

Answer:fhhxijcubv

Step-by-step explanation:

Cvhgghjbghv

Answer:

The unit rate will be amount ÷ price

Thus,

3÷4.50

⇒ 0.66..........

And this means 0.66 will be the range.

The number of oranges in the shipment can the manager predict weighing 5 ounces will be 56. Then the correct option is B.

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

A grocery store receives a shipment of 700 oranges. The manager randomly selects 25 oranges to weigh. In that sample, 2 oranges weigh 5 ounces.

Then the probability of the oranges that weigh 5 ounces is given as,

p = 2/25

Then the number of oranges in the shipment can the manager predicts weigh 5 ounces will be given as,

E(x) = 700 x 2 / 25

E(x) = 28 x 2

E(x) = 56

The number of oranges in the shipment can the manager predict weighing 5 ounces will be 56. Then the correct option is B.

More about the expected value link is given below.

https://brainly.com/question/13945225

#SPJ6

Answer:

y = (75x + 500)

Step-by-step explanation:

To find the linear model,

Let y = monthly balance of the savings

x = months of the savings

With savings account with $500 which is fixed

deposits = $75

Then the model is

y = (75x + 500)

Answer:

9y

Step-by-step explanation:

9 times y = 9y

product means multiply

Answer:

x ≥ 10

Step-by-step explanation:

So put a filled-in dot on 10 and an arrow going to the right

Answer: x ≥ 10

Step-by-step explanation: i took the test

Answer:

It got cut off, but the approximate y intercept is 3 and slope intercept form is

y = x + 3 and I used the points 0,3 and 3,6 to calculate the slope using the slope equation y1 - y2/x1 - x2

Hope this helped and brainliest please!

Answer:

d. 6

Step-by-step explanation:

2/x+4=3^x+1It's too short. Write at least 20 characters to explain it well.

Answer:

64 inches

Step-by-step explanation:

Given :

(Joe's height / Joe's shadow) = (Martha's height / Martha's shadow)

Let Martha's height = h

72 in / 108 in = h / 96 in

Cross multiply :

108 * h = 72 * 96

h = (72 * 96) / 108

h = 6912 / 108

h = 64 inches

Martha is 64 inches tall.

Step-by-step explanation:

Please refer to the attachment

Multiply 8 and z, and 8 and 8.

8z+64

---

hope it helps

Answer:

A

Step-by-step explanation:

Answer:

ans is 135

Step-by-step explanation:

Is it necessary for explanation?

if so comment

90 Minutes i think

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Answer:

y = 1250(1 + .06)11

Step-by-step explanation:

Answer:

2372.87

Step-by-step explanation:

Y=1250(1.06)11

The area of the triangle is:

                                         [tex]\Large\displaystyle\text{$\begin{aligned}A\triangle &= \dfrac{21+7\sqrt{15}}{2}\\ \\A\triangle &\approx 24.055\\ \\\end{aligned}$}[/tex]

You can easily find the area of a triangle using the formula:

                                         [tex]\Large\displaystyle\text{$\begin{aligned}A\triangle = \dfrac{bh}{2}\end{aligned}$}[/tex]

Where h is the height of the triangle, and b the base.

Looking at the figure we can see that h = 7, but we need to discover the base, we know that the base is:

                                               [tex]\Large\displaystyle\text{$\begin{aligned}b = 3 + x\end{aligned}$}[/tex]

Where:

                                            [tex]\Large\displaystyle\text{$\begin{aligned}8^2 &= x^2 + 7^2\\ \\x^2 &= 8^2 - 7^2 \\ \\x^2 &= 64 - 49\\ \\x^2 &= 15\\ \\x &= \sqrt{15}\end{aligned}$}[/tex]

Therefore, our base length is:

                                              [tex]\Large\displaystyle\text{$\begin{aligned}b &= 3 + x\\ \\b &= 3 + \sqrt{15}\\ \\\end{aligned}$}[/tex]

Then we can just apply the formula for the area:

                                        [tex]\Large\displaystyle\text{$\begin{aligned}A\triangle &= \dfrac{(3+\sqrt{15})\cdot 7}{2}\\ \\A\triangle &= \dfrac{21+7\sqrt{15}}{2}\\ \\A\triangle &\approx 24.055\\ \\\end{aligned}$}[/tex]

I hope you liked it

Any doubt? Write it in the comments and I'll help you

Answer:

The age of the pottery bowl is 10523 years.

Step-by-step explanation:

Amount of substance:

The amount of a substance after t years is given by the following equation:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate.

Half-life of C14.

Researching, the half-life of c-14 is 5730 years.

This means that:

[tex]A(5730) = 0.5A(0)[/tex]

We use this to find r. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{5730}[/tex]

[tex](1-r)^{5730} = 0.5[/tex]

[tex]\sqrt[5730]{(1-r)^{5730}} = \sqrt[5730]{0.5}[/tex]

[tex]1 - r = 0.5^{\frac{1}{5730}}[/tex]

[tex]1 - r = 0.99987903922[/tex]

So

[tex]A(t) = A(0)(0.99987903922)^t[/tex]

Age of the pottery bowl:

We have that:

[tex]A(t) = 0.28A(0)[/tex]

We have to find t. So

[tex]A(t) = A(0)(0.99987903922)^t[/tex]

[tex]0.28A(0) = A(0)(0.99987903922)^t[/tex]

[tex](0.99987903922)^t = 0.28[/tex]

[tex]\log{(0.99987903922)^t} = \log{0.28}[/tex]

[tex]t\log{0.99987903922} = \log{0.28}[/tex]

[tex]t = \frac{\log{0.28}}{\log{0.99987903922}}[/tex]

[tex]t = 10523.1[/tex]

So

The age of the pottery bowl is 10523 years.

Answer: 50 ft

Step-by-step explanation:

The seagull is 20 ft above sea level.

Shark is 30 ft below seas level.

To find their distance, add their distances from sea level because it is middle ground between where they both are:

= 20 + 30

= 50 ft

Answer:

3(7a+3)

Step-by-step explanation:

Take out 3 as a common factor.

Answer:

7 years

Step-by-step explanation:

Given :

The Simple Interest earned, I = $ 6720

Rate of interest, r = 8% per annum

Principal amount, P  = $12,000

We known that :

[tex]$I = \frac{P \times T \times r}{100}$[/tex]

Here t is the number of years of investment.

Therefore,

[tex]$t= \frac{I \times 100}{p \times r}$[/tex]

[tex]$t= \frac{6720 \times 100}{12000 \times 8}$[/tex]

t = 7

So, the sum was invested for 7 years.

Answer:

Its b

Step-by-step explanation:

I had to use multiple apps to get this but im pretty sure its b, its definitly not A c or D. I have this exact same test.