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Rzqust [24]
3 years ago
10

1-116 1.2.6

Mathematics
1 answer:
ankoles [38]3 years ago
3 0

Answer:

A. 30 adults; B. 24 not dolls

Step-by-step explanation:

A.

\begin{array}{rcl}\text{No. of adults} & = & \text{No. of visitors} \times \text{Fraction who are adults}\\& = & \text{100 visitors} \times \dfrac{\text{3 adults}}{\text{10 visitors}} \\& = & \textbf{30 adults}\\\end{array}

B.

If five-eighths of the prizes were dolls, then three-eighths of the prizes were not dolls.

\begin{array}{rcl}\text{No. not dolls} & = & \text{No. of prizes} \times \text{Fraction not dolls}\\& = & \text{64 prizes} \times \dfrac{\text{3 not dolls}}{\text{8 prizes}} \\& = & \textbf{24 not dolls}\\\end{array}

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Simplify the expression 7(-15)
satela [25.4K]

Hello!

Answer: ⇒⇒⇒⇒⇒-105

Explanation

↓↓↓↓↓↓↓↓↓↓↓↓↓

First, remove parenthesis.

-7*15

Then, multiply by the numbers.

7*15=105\\

=-105

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

7 0
3 years ago
Find the value of x to the nearest tenth.
Klio2033 [76]

Answer:

x =20.8

Step-by-step explanation:

We can find the value of 1/2 of x using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 12^2

a^2 = 36+144

a^2 = 108

Take the square root

sqrt(a^2) = sqrt( 108)

a =sqrt(36*3)

a = sqrt(36) sqrt(3)

a = 6sqrt(3)

Now x = 2 times the length of a

x = 2 * 6 sqrt(3)

x = 12 sqrt(3)

x =20.78460969

x =20.8

3 0
3 years ago
An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane f
Sphinxa [80]

Answer:

Distance between plane and airport is 134.4 miles.

Step-by-step explanation:

Given : An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W.

To find : How far is the plane from the airport.

Solution : Distance from airport to west is 150 miles and then 170 miles in the direction south  and angle form is S 49.17° W

Refer the attached picture for clearance.

Applying law of cosines

c^2=a^2+b^2-2ab Cos(C)

c=\sqrt{a^2+b^2-2ab Cos(C)}

where a= 150 miles

b=170 miles

C=   49.17° angle in degree

c = distance between plane from the airport

Put values in the formula,

c=\sqrt{a^2+b^2-2ab Cos(C)}

c=\sqrt{150^2+170^2-2(150)(170) Cos(49.17^{\circ})}

c=\sqrt{22500+28900-51000(0.653)}

c=\sqrt{51400-33303}

c=\sqrt{18057}

c=134.37

Therefore, Distance between plane and airport is 134.4 miles.

5 0
3 years ago
Read 2 more answers
What is the length of y in this circle?<br><br> See attached for picture and choices
love history [14]

Answer:

The length of y is 8

Step-by-step explanation:

∵ The two chords of the circle intersected at a point

∴ 4 × 12 = 6 × y

∴ y = 48 ÷ 6 = 8

4 0
4 years ago
Graph the linear equations x=4
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A straight line vertically that goes the x coordinate 4.
7 0
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