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Effectus [21]
3 years ago
7

Margaret is planning a wedding reception. She wants to spend less than her budget of $5,748, and Margaret has already spent $2,4

78. The meal price per guest is $30. How many guests, x, can Margaret invite to the reception and stay under budget? Select the number line that includes the largest number of guests Margaret can invite without exceeding her budget.
Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

She can invite 109 guests and be right on top of budget. If she wants to spend less than her budget though she can only invite 108 people.

Step-by-step explanation:

First you have to subtract 5,748 - 2,478 which is 3270. Next you have to divide 3270 by 30 because each person costs 30 dollars. 3270 divided by 30 is 109.

I hope this helps! Please mark me brainliest if I am correct! Have a nice day!

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i hate word problems...if i roll a regular 6 faced die 1200 times, about how many times would you expect to get a 4?
Setler [38]

Answer:

200

Step-by-step explanation:

1/6 because the die has 6 sides so if you were to roll it 1200 times you would do 1/6*1200=200 , hope this helps!

8 0
3 years ago
Find the area shaded in yellow. Plsss help me !!!
k0ka [10]
To find the area the easyiest divide it into 2 shapes that we know the area formula for: a triangle and a rectangle

the rectangle is 5 units by 7 units
A=l*w
A=5*7
A=35

the triangle is 4 units at the base and 5 units in height
A=bh/2
A=(4)(5)/2
A=20/2
A=10

To get the total area add the 2 areas together

35+10=45

Answer: Area of the yellow shape is 45 sq units
4 0
3 years ago
Jordan prepares 200 name tags to use at a
vichka [17]

Answer:

number of red tags = 200 - 70 - 38 = 92

Step-by-step explanation:

Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue  tags

number of blue tags = 35% of 200

number of blue tags = 35/100 × 200

number of blue tags = 70

The number of yellow tags = 38

The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.

number of red tags = 200 - 70 - 38 = 92

8 0
3 years ago
Find an exact value.
Westkost [7]

Answer:

\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}.

Step-by-step explanation:

Convert the angle \displaystyle \left(-\frac{7\, \pi}{12}\right) to degrees:

\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ.

Note, that \left(-105^\circ\right) is the sum of two common angles: \left(-45^\circ\right) and \left(-60^\circ\right).

  • \displaystyle \cos\left(-45^\circ\right) = \cos\left(45^\circ\right) = \frac{\sqrt{2}}{2}.
  • \displaystyle \cos\left(-60^\circ\right) = \cos\left(60^\circ\right) = \frac{1}{2}.
  • \displaystyle \sin\left(-45^\circ\right) = -\sin\left(45^\circ\right) = -\frac{\sqrt{2}}{2}.
  • \displaystyle \sin\left(-60^\circ\right) = -\sin\left(60^\circ\right) = -\frac{\sqrt{3}}{2}.

By the sum-angle identity of cosine:

\cos(A + B) = \cos(A)\cdot \cos(B) - \sin(A) \cdot \sin(B).

Apply the sum formula for cosine to find the exact value of \cos\left(-105^\circ \right).

\begin{aligned}\cos\left(-105^\circ \right) &= \cos\left(\left(-45^\circ\right) + \left(-60^\circ\right)\right) \\ &= \cos\left(-45^\circ\right) \cdot \cos\left(-60^\circ\right)\right) - \sin\left(-45^\circ\right) \cdot \sin\left(-60^\circ\right)\right) \\ &= \frac{\sqrt{2}}{2} \times \frac{1}{2} - \left(-\frac{\sqrt{2}}{2}\right)\times \left(-\frac{\sqrt{3}}{2}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}\end{aligned}.

\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ. In other words, \displaystyle \left(-\frac{7\, \pi}{12}\right) and \left(-105^\circ\right) correspond to the same angle. Therefore, the cosine of \displaystyle \left(-\frac{7\, \pi}{12}\right)\! would be equal to the cosine of \left(-105^\circ\right)\!.

\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \cos\left(-105^\circ\right) = \frac{\sqrt{2} - \sqrt{6}}{4}.

3 0
3 years ago
What is the missing angle? Please only if you know!
svlad2 [7]
Pythagorean Theorem: a^2+b^2=c^2
C^2 being the missing angle because it’s the hypotenuse( angle diagonal from the 90degree box
4^2+13^2 = c^2
16+169=c^2
185=c^2
Then square root from both sides & c = 13.6
3 0
3 years ago
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