Determine the number of solution for a) x

The rise and span for a roof are shown. The pitch of a roof is the ratio of the rise to the half-span. If the rise is 8 feet and

Effectus [21]

Half-span is half of span. Pitch of the roof is calculated as rise/(span/2). In this case, rise is 8 feet and span is 30 feet. So, the pitch can be calculated as 8/(30/2) or 8/15. Pitch is normally represented as the number of inches of rise per foot. So, to reduce 8/15 to match a foot, we multiply it by 12. So, (8/15) * 12 gives us 6.4 inches of rise per foot.

3 0

3 years ago

Read 2 more answers

If three pears and four oranges cost $4.85 and three pears and ten oranges cost $8.75 what is the cost of a pear and an orange

marishachu [46]

Answer:

1 pear = $0.75; 1 orange = $0.65

Step-by-step explanation:

(1) 3P + 4O = 4.85

(2) 3P + 10O = 8.75 Eqn (2) - Eqn (1)

3P + 10O – 3P – 4O = 8.75 – 4.85 Combine like terms

6O = 3.90 Divide each side by 6

O = $0.65 Substitute into Eqn (1)

3P + 4×0.65 = 4.85

3P + 2.60 = 4.85 Subtract 2.60 from each side

3P = 2.25 Divide each side by 3

P = $0.75

Oranges cost $0.65 each and pears are $0.75 each

4 0

3 years ago

Tammy baked a batch of 20 cupcakes. Daniella baked

ElenaW [278]

Multiplication is the process of multiplying. The total number of cupcakes that are produced by the 3 girls is 44.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Tammy baked a batch of 20 cupcakes and Daniella baked 4/5 as many cupcakes as Tammy. Therefore, the number of cupcakes made by Daniella is,

Number of cupcakes made by Daniella

= (4/5)×(Number of cupcakes made by Tammy)

= (4/5) × 20

= 16

Now, if Miko baked 1/2 as many cupcakes as Daniella. Therefore, the number of cupcakes made by Miko is,

Number of cupcakes made by Miko

= (1/2) × (Number of cupcakes made by Daniella)

= (1/2) × 16

= 8

Further, the total number of cupcakes that are produced are,

Number of cupcakes = 20 + 16 + 8 = 44

Hence, the total number of cupcakes that are produced by the 3 girls is 44.

Learn more about Multiplication here:

brainly.com/question/14059007

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8 0

2 years ago

Jesse needs 10 1/4 feet of chain to complete an outdoor project. He has two small pieces each measuring 2 1/8 feet and a third p

Effectus [21]

Answer:

= 2 1/4 feet

Step-by-step explanation:

Length of chain Jesse needs = 10 1/4 feet

Length of chain Jesse has:

Two small pieces each measuring 2 1/8 feet

= 2 × 2 1/8 feet

= 2 × 17/8

= 34/8 feet

Third piece measuring 3 3/4 feet

Total Length of chain Jesse has = 34/8 feet + 3 3/4 feet

= 34/8 + 15/4

= 34+30/8

= 64/8

= 8 feet

Total Length of chain Jesse has = 8 feet

Length of chain Jesse needs to purchase = Length of chain Jesse needs - Total Length of chain Jesse has

= 10 1/4 feet - 8 feet

= 2 1/4 feet

Length of chain Jesse needs to purchase = 2 1/4 feet

7 0

3 years ago

At the same store, Peter bought 2 pairs of pants and 5 shirts for $61, and Jessica bought 3 pairs of pants and 4 shirts for $67.

svetlana [45]

Hey there!!

Given :

The total cost for 2 pairs of pants and 5 shirts is $61.

The total cost for 3 pairs of paints and 4 shirts is $67.

Let's take the cost for each pair of paints as 'p' and the cost for each shirt as 's'.

Now, let's get these into an equation.

Peter's equation :

... 2p + 5s = 61

Jessica's equation :

...3p + 4s = 67

......................................................................................................

2p + 5s = 61 --- (1)

3p + 4s = 67 --- (2)

Multiply the first equation with 3 and the second equation with 2.

6p + 15s = 183

6p + 8s = 134

Subtract both the equations -

... 7s = 49

Divide both sides with 7.

... s = 7

Hence, the cost of each shirt is $7.

Hope my answer helps!!

6 0

4 years ago

Determine the number of solution for a) x > 9b) x + 1/2 = 5/6​

Determine the number of solution for a) x > 9b) x + 1/2 = 5/6