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16.05.2021

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24.01.2023, solved by verified expert

Rajat Thapa

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Mathematics, DAV Post Graduate College

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Answer:

Step-by-step explanation:

According to triangle's sum property, the sum of all angles in a triangle is 180°.

So, for the given triangle,

(7x - 3) + (9x - 1) + 40 = 180

16x - 4 = 140

x = 144/16

Thus, x = 9

So, <A = 7x - 3 = 7(9) - 3 = 60

Therefore, <A = 60°

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Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

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P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

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P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

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P Answered by PhD

The answer is in the image

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

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P Answered by PhD

The total nom of code that can be used is equal to 5+3 = 8

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Step-by-step answer

P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics

Use the X method to find the solutions of6x2 + 2x – 20 = 0.

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P Answered by PhD

The answer is in the image

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

the surface area of a box is 232 square inches. the box is 4 inches wide and 8 inches long. what is the hight?

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P Answered by PhD

The solution is given in the image below

Mathematics

Thomas got a haircut from the barber. If the haircut costs $32 and he wants to leave a 18% tip, how much will he pay in total?

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P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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