There are 92 students on the bus. 43 are girls and the rest are boys. At the stop along route, half of the students exit the bus. How many students are left after that stop?

Answers

Answer 1

Answer: 92 students were on the bus and half left
so thats 92/2 and you get 46
46 students were left on the bus

Hope this helps! :))

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Mary has 18 coins with a total value of $2.85. If the coins are dimes and quarters,how many of each type of coins does Mary have

Answers

$x-dimes\ny-quarters\n\n \left\{\begin{array}{ccc}x+y=18\n0,1x+0.25y=2.85&/\cdot(-10)\end{array}\right\n+\left\{\begin{array}{ccc}x+y=18\n-x-2.5y=-28.5\end{array}\right\n------------\n.\ \ \ \ \ \ -1.5y=-10.5\ \ \ \ /:(-1.5)\n.\ \ \ \ \ \ \ \ \ \ \ \ \ y=7\n\nx+7=18\nx=18-7\nx=11\n\nAnswer:11\ dimes\ and\ 7\ quarters$

Let's say x represents the number of dimes and y represents the number of quarters.

Note: A dime is worth 10 cents and a quarter is worth 25 cents. Therefore, their coefficients would be 0.1 and 0.25 (you must divide them by 100, since 1 dollar = 100 cents).

Now you can set up a system of equations and solve by substitution.

x + y = 18
0.1x + 0.25y = 2.85

In order to substitute, you have to solve for one of the variables in terms of the other. This will be easiest to do with the first equation.

x + y = 18
y = 18 - x

Now, substitute in that value of y into the second equation.

0.1x + 0.25(18 - x) = 2.85

Now, you can solve for x.

0.1x + 4.5 - 0.25x = 2.85
- 0.15x = -1.65
x = 11

You have 11 dimes.

Now you can substitute that value into your original first equation.

(11) + y = 18
y = 7

You have 7 quarters.

Answer: 11 dimes and 7 quarters

Geometry question

No explanation necessary, I need an answer in two words or less

Answers

Answer: circle

Step-by-step explanation:

All cross sections of a sphere are circles.

Find the measure of each exterior angle for a regular hexagon. Round to the nearest tenth if necessary.

Answers

The measure of each exterior angle for a regular hexagon is 60⁰.

What is Hexagon?

A hexagon is a six-sided polygon or 6-gon. The total of the internal angles of any simple hexagon is 720°.

In a regular Hexagon, all sides are same size and measure of all interior angles are same.

The sum of interior angles of hexagon is (n−2)×180⁰

where n is number of sides of polygon. (6−2)×180⁰ = 720⁰.

here n=6 because hexa means 6

Each interior angle =720⁰/6=120⁰

As we know that the sum of interior and exterior angles is 180⁰

Exterior angle + interior angle =180⁰

Exterior angle +120⁰ = 180⁰

Exterior angle =180⁰−120⁰ = 60⁰

Thus, the measure of each exterior angle for a regular hexagon is 60⁰.

Learn more about Hexagon from:

brainly.com/question/14338151

#SPJ2

Sum of exterior angles: 360 degreesNumber of sides: 6Formula to find the measure of each exterior angle for a regular hexagon:360/n (n=number of sides)So: 360/660So yeah, you are right. The measure of each ext. angle for a regular hexagon is 60 degrees.

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answers

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus= $(d)/(2)=(12)/(2)=6 in$

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: $(Hypotenuse)^2=(base)^2+(perpendicular\;side)^2$

Using pythagorous theorem

$OB^2=(6)^2+(8)^2=100$

$OB=√(100)=10 in$

Hence, the direct distance of lizard from cactus=10 in

the answer should be 6 if i am right

there is a daily fee for renting a moving truck, plus a charge $0.50 per mile driven. it costs $64 to rent the truck on a day when it is driven 48 miles. Which linear equation can be used to model this situation?

Answers

Answer:

Let x be the daily fee

0.5(48) +x = 64 is the equation,

Multiply:

24 + x = 64

Subtract:

x=40

The daily fee is $40

Solve for n. Round to the nearest tenth, if necessary.

47/n = 36/54

Answers

$(36)/(54)=(36:18)/(54:18)=(2)/(3)\n\n(47)/(n)=(2)/(3)\ \ \ |cross\ multiply\n\n2\cdot n=3\cdot47\n\n2n=141\ \ \ \ |divide\ both\ sides\ by\ 2\n\nn=(141)/(2)\n\n\boxed{n=70.5}$

$47/n = 36/54$

$47/n=2/3$

$47=2/3n$

$47=2n/3$

$47*3=2n$

$141=2n$

$141/2=n$

Decimal Form: 70.5

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