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3 years ago

There are 16 students working on a project if each student need 1/4 stick of clay are needed in all?

Mathematics

1 answer:

Ghella [55]3 years ago

6 0

Answer:

4 sticks of clay

Step-by-step explanation:

To find the total amount of clay needed, multiply the number of students by the amount need for each one of them.

$16$ · $\frac{1}{4}$

Multiply these by converting 16 into a fraction.

$\frac{16}{1}$ · $\frac{1}{4}$

Multiply the numerators and denominators across.

$\frac{16}{1}$ · $\frac{1}{4}=\frac{16}{4}$

Simplify this.

$\frac{16}{4} =4$

The total amount of clay needed is 4 sticks.

I hope this helps :) Good luck ^^

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A rectangular prism has a volume of 96ft3. The area of the base is 24ft2. What is thw height of the prism? answer soon please

kvv77 [185]

96/24=4
The height is 4ft.

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3 years ago

Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect

prisoha [69]

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

$TQ$ X TP=TR^2$

$10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6$

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

5 0

3 years ago

In a certain Algebra 2 class of 30 students, 19 of them play basketball and 12 of them play baseball. There are 8 students who p

Alenkinab [10]

Answer:

Probability that a student chosen randomly from the class plays basketball or baseball is $\frac{23}{30}$ or 0.76

Step-by-step explanation:

Given:

Total number of students in the class = 30

Number of students who plays basket ball = 19

Number of students who plays base ball = 12

Number of students who plays base both the games = 8

To find:

Probability that a student chosen randomly from the class plays basketball or baseball=?

Solution:

$P(A \cup B)=P(A)+P(B)-P(A \cap B)$ ---------------(1)

where

P(A) = Probability of choosing a student playing basket ball

P(B) = Probability of choosing a student playing base ball

P(A \cap B) = Probability of choosing a student playing both the games

Finding P(A)

P(A) = $\frac{\text { Number of students playing basket ball }}{\text{Total number of students}}$

P(A) = $\frac{19}{30}$ --------------------------(2)

Finding P(B)

P(B) = $\frac{\text { Number of students playing baseball }}{\text{Total number of students}}$

P(B) = $\frac{12}{30}$ ---------------------------(3)

Finding $P(A \cap B)$

P(A) = $\frac{\text { Number of students playing both games }}{\text{Total number of students}}$

P(A) = $\frac{8}{30}$ -----------------------------(4)

Now substituting (2), (3) , (4) in (1), we get

$P(A \cup B)= \frac{19}{30} + \frac{12}{30} -\frac{8}{30}$

$P(A \cup B)= \frac{31}{30} -\frac{8}{30}$

$P(A \cup B)= \frac{23}{30}$

7 0

3 years ago

You make blueberry mufﬁns and banana bread for a bake sale. One batch of blueberry mufﬁns requires m cups of ﬂour, and one batch

natali 33 [55]

The expression that represents the total amount of ﬂour (in cups) you need is Am+Bn. The correct option is D.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that one batch of blueberry mufﬁns requires m cups of ﬂour and You make A batch of blueberry mufﬁns. Therefore, the total flour required for making A batch of blueberry muffins is,

Number of flour = A × m = Am

Also, Given that one batch of banana bread requires n cups of ﬂour and You make B batch of banana bread. Therefore, the total flour required for making B batch of banana bread is,

Number of flour = B × n = Bn

Now, the expression that represents the total amount of ﬂour (in cups) you need in total is,

The total amount of flour = Am + Bn

Hence, the expression that represents the total amount of ﬂour (in cups) you need is Am+Bn.

Learn more about Expression here:

brainly.com/question/13947055

#SPJ1

6 0

1 year ago

Suppose you need to get the dent in your car fixed. You see the ads in the newspaper above (mikes repair shop $100 service charg

Norma-Jean [14]

Answer:

Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295, so I will take the car to Amy's shop

Point of intersection: (x,y) = (4,360)

Explanation:

Part 1 )

Let x = number of hours worked

Let y = total cost to you

Determining where to take the car:

Total Cost at Amy's shop is $280 which is less than the total cost at Mike's shop which is $295

Mike's repair shop:

Service fee: $100

Per hour rate: $65

Let x is the number of hours worked on. Total cost will be equal to the service fee plus hourly charges. Charges per an hour are $65, so for x hours the charges will be 65x.

Therefore, total cost for Amy's repair shop can be written as:

y = 100 + 65x ------(1)

For 3 hours work: y = 100 + 65(3)

Cost at Mike's, y = $100 + $195 = $295

Amy's repair shop: 

Service fee: $40

Per hour rate: $80

Charges per an hour are $40, so for x hours the charges will be 80x.

Therefore, total cost for Amy's repair shop can be written as:

y = 40 + 80x ------(2)

For 3 hours work: x = 3

y = 40 + 80(3)

Cost at Amy's, y = $40 + $240 = $280

Part 2)

Find the point of intersection

Using elimination method:

y = 100 + 65 x ------1

y = 40 + 80x ------2

As the y coefficients are equal we will subtract eq1 from eq2

y - y = 40 + 80x - 100 - 65x

0 = -60 + 15x

60 = 15x

x = $\frac{60}{4}$

x = 4

put x = 4 in eq 1

we get y = 100 + 65 (4) = 100 + 260 = 360

x = 4, y = 360

Point of intersection: (x,y) = (4,360)

8 0

3 years ago