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Kazeer [188]
2 years ago
14

Mary needs to order pizza for 18 students. Each student should get 4/7 of a pizza. How many pizzas should Mary order? How much p

izza will be leftover?
Mathematics
2 answers:
mixas84 [53]2 years ago
5 0

Answer:

12

Step-by-step explanation:

4 x 18

6 x 1   =  72 /6

72/6 = 12

6/6 = 1

12 /1

12

Llana [10]2 years ago
3 0

Answer:

11 pizzas, 5/7 left

Step-by-step explanation:

to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over

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An actor invests some money at 9​% simple​ interest, and ​$24,000 more than three times the amount at 10​% simple interest. The
Andrew [12]

Answer:

The amount invested at 9% is $93000

The amount invested at 10% is $303000

Step-by-step explanation:

Let the amount invested at 9% interest rate be x

And the amount invested at 10% rate be y

Simple Interest from x in a year = 0.09x

Simple Interest from y in a year = 0.1y

But y = 24000 + 3x

And the sun of the interests, 0.09x + 0.1y = 38670

Now we have a simultaneous eqn

y = 24000 + 3x (eqn 1)

0.09x + 0.1y = 38670 (eqn)

Substitute y into eqn 2

0.09x + 0.1(24000 + 3x) = 38670

0.09x + 2400 + 0.3x = 38670

0.39x = 38670 - 2400

x = 36270/0.39 = $93000

y = 24000 + 3x = 24000 + 3 × 93000 = $303000

8 0
3 years ago
Can't​ really find the answer. Any help?
prisoha [69]

a) you need to convert one of the prices so both of them are in the same units and you can compare them.

im going to convert the Japanese Yen into Euros as the numbers will be smaller but you can also do it the other way.

£1 = 188 japanese yen

?? = 39856 japanese yen

divide 39856 by 188 to get £212

this means 39856 Japanese Yen is equal to £212

then convert this into euros.

£1 = €1.41

£212 = ???

calculate 212 × 1.41 which gives you €298.92

this means 39856 Japanese Yen is equal to €298.92

the phone in Spain costs €352.50

this shows that the phone in Spain is more expensive than the one in Japan.

therefore, the mobile phone in Japan is cheaper.

b) from Part A, we know that the phone in Japan is 39856 Japanese Yen, which is equal to £212.

so now we need to convert €352.50 into Pounds (£) to compare the prices.

£1 = €1.41

?? = €352.50

divide 352.50 by 1.41 to get £250.

this means the phone in Spain costs £250 as €352.50 is equal to £250.

now we know the phone in Japan is £212 (in pounds) whereas the phone in Spain is £250 (in pounds).

we need to calculate the difference by doing £250 - £212 which equals £38

therefore, the phone in Japan is cheaper than the phone in Spain by £38

7 0
3 years ago
Use completing the square to solve x^2+6x=13
lara [203]

Answer:

x = -3 +/- square root(22)

Step-by-step explanation:

x = -b +/- square root(b^2 - 4ac) / 2a

ax^2 + bx + c = 0

these are both the quadratic formula but one is solved for the x and another for 0

a= 1

b= 6

c = -13

x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)

x = -6 +/- sqrt( 36 + 52) / 2

x= -6 +/- sqrt (88) / 2

sqrt of 88 = 2 x sqrt (22)

divide 2 on each

x= -3 +/- sqrt (22)

8 0
2 years ago
PLZ HELP ME HURRY PWEASE!!!!!!!!!
Anna71 [15]

Answer:

1.5.80 miles

2.9.80ft

3.56 inches

4.5.20 units

5. 13 units

6.5.40 ft

Step-by-step explanation:

⇒These questions are on the Pythagorean relationship

⇒General expression is ;

a²+b²=c² where a and b are values for the legs and c is the hypotenuse

1. Isaiah waked 3 miles north and 5 miles east.

Finding the distance from starting point we apply the equation;

a²+b²=c² where a=5 miles and b=3miles

5²+3²=c²

25+9=c²

34=c²

c=√34 = 5.80 miles

2.The ladder is leaning against the wall to form the hypotenuse side of 10 ft.The distance from the base to the ladder forms side a= 2ft. The question requires you to calculate the height b.

a²+b²=c²

2²+b²=10²

4+b²=100

b²=100-4

b=√96

b=9.80 ft

3. The television has a diagonal of 70 inches to represent side c and a height of 42 inches to represent the side a. The question requires you to find the width of  the television which represents the side b

a²+ b²=c²

42²+b²=70²

b²=70²-42²

b=√3136

c=56 inches

4. An equilateral triangle is one that has all its sides and angles equal. Here you have to introduce a perpendicular line from the apex point of the triangle to the base and get the distance a.The using the hypotenuse and the distance a, you can find the height/b.

c= 6 units and a=6/2= 3 units

a²+b²=c²     3²+ b²= 6²

9+b²=36

b²=36-9

b=√27 =5.20 units

5.In this question, you are given the height and the width of the right triangle thus apply the relationship as;

a²+b²=c²..........where a=5 and b=12

5²+12²=c²

25+144=c²⇒⇒⇒c=√169 =13 units

6. In this question, the height of the plant represents side b and the distance of the base from where the string is tied is side b.You are to find the length of the string which represents the hypotenuse side.

a²+b²=c²

5²+2²=c²

25+4=c²

29=c²

√29=c

c=5.40 ft

5 0
3 years ago
A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probabilit
valina [46]
Hello!

You first find out how many objects there are in total


4 + 9 + 3 = 16

Then you find the probability of Liliana picking a orange

Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange

Next you find the probability of Liliana picking a pear

There are 3 pears and 16 items to pick so she has a 3/16 chance

Then you add them together to find the chance of either happening

4/16 + 3/16 = 7/16

So she has a 7 out of 16 chance of getting an orange or a pear

The answer is 7/16

Hope this helps!
3 0
3 years ago
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