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Natasha_Volkova [10]
2 years ago
11

The Sixth Grade Dance Committee is planning to decorate the school gym with crepe paper, posters, and tablecloths. They know tha

t crepe paper costs $5 per roll, posters cost $10 each, and tablecloths cost $14 per table. The committee used the expression 5r + 10p + 14t to represent the cost of r rolls of crepe paper, p posters, and t tablecloths. How much money would the committee need for 4 rolls of crepe paper, 10 posters, and 3 tablecloths?
Mathematics
1 answer:
g100num [7]2 years ago
5 0
5r=20 10p=100 14t=42
100+42+20=162
5r+10p+14t=$162
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What is the solution for -10 < x - 9?
krek1111 [17]

Answer:

-1 < x

Step-by-step explanation:

-10 < x - 9

+9. +9

-1 < x

6 0
3 years ago
Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They h
Natalka [10]

Solving the inequality, it is found that the correct interpretation of the solution is:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

The amount x of miles they can still travel is modeled by the following inequality:

221 + x \leq 304

To solve it, we treat it similarly to an equality, hence:

x \leq 304 - 221

x \leq 83

Hence:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

A similar problem is given at brainly.com/question/11713066

5 0
3 years ago
1 The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of th
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Step-by-step explanation:  As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.

See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.

Now, in ΔADB, we have

AD^2=AB^2-BD^2

AD^2=AB^2-(1/2AB^2)^2

AD=√3/4AB^2

we can find the height of any one of the roof's triangular bases.

2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a

2. if a=25 ft, then the height is  √3/2a=√3/2*25=1.732/2*25=21.7(ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l

the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2  

so the total area of the roof is  

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.

So the total area found previously will be decreased by al

5. so the area now is √3/2a^2 + 2al  

6. now a=25 and l=2a=50

Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866

=3041.3 (ft squared)

6 0
3 years ago
Classify the triangle by its angles and sides.
snow_tiger [21]
I’ll pay you to do my 7 math assignments(no scams no bs) Hmu asap
4 0
3 years ago
Read 2 more answers
Principal clements wants to buy a pencil for each of the 57 fourth graders in her school. The pencils come in packages of 6. How
Scrat [10]

Principal clements needs to buy 10 packages

<em><u>Solution:</u></em>

Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school

The pencils come in packages of 6

Therefore,

Total number of students = 57

<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>

\text{Number of packages } = \frac{\text{total number of students }}{6}<em><u></u></em>

<em><u>Substituting the given values we get,</u></em>

\text{Number of packages } = \frac{57}{6} \\\\\text{Number of packages }= 9.5 \approx 10

Thus principal clements needs to buy 10 packages

8 0
3 years ago
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