1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesya [120]
2 years ago
15

Determine which two values the following number is between. A. 12 and 13 B. 13 and 14 C. 15 and 16 D. 14 and 15

Mathematics
1 answer:
nordsb [41]2 years ago
8 0

Answer:

more info pls

Step-by-step explanation:

You might be interested in
A jeweler wants to make 14 grams of an alloy that is precisely 75% gold.. The jeweler has alloys that are 25% gold, 50% gold, &a
Goryan [66]

Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.

As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.

One alloy is 82% gold and, the second can be chosen between 25% gold, 50% gold, so there are two cases.

Case 1: 82% gold + 50% gold

Let x grams of 82% gold and y  grams of 50% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 50% of y

\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times y \\\\

\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times (14-x)  [as x+y=14]

\Rightarrow 75 \times 14 = 82 \times x + 50 \times (14-x)  \\\\\Rightarrow 75 \times 14 = 82 \times x + 50 \times14-50\times x \\\\\Rightarrow 75 \times 14 = 32 \times x + 50 \times14 \\\\\Rightarrow 32 \times x =75 \times 14 - 50 \times14 \\\\

\Rightarrow x =(25 \times 14)/32=10.9375 grams

and y = 14-x= 14-10.9375=3.0625 grams.

Hence, 10.9375 grams of 82% gold and 3.0625  grams of 50% gold added to make 14 grams of 75% gold.

Case 2: 82% gold + 25% gold

Let x grams of 82% gold and y  grams of 25% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 25% of y

\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times y \\\\\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times (14-x) \\\\ \Rightarrow 75 \times 14 = 82 \times x + 25 \times (14-x)  \\\\\Rightarrow 75 \times 14 = 82 \times x + 25 \times14-25\times x \\\\\Rightarrow 75 \times 14 = 57 \times x + 25 \times14 \\\\\Rightarrow 57 \times x =75 \times 14 - 25 \times14 \\\\

\Rightarrow x =(50 \times 14)/57=12.28 grams

and y = 14-x= 14-12.28=1.72 grams.

Hence, 12.28 grams of 82% gold and 1.72  grams of 50% gold added to make 14 grams of 75% gold.

3 0
2 years ago
A car traveling 118 miles uses 4 gallons of gas. At the rate, how many gallons will it use traveling 227 miles?
sashaice [31]

Answer:

b.7.69

Step-by-step explanation:

188/4=29.5

29.5 gal per mile

227/29.5=7.69

8 0
2 years ago
If both spinners are spun simultaneously, what is the probability that both spinners will land on orange?
andrew11 [14]

Answer:

The probability that neither land on orange is (1/2)* (7/8) = 7/16. Hence, the probability that at least one lands on orange is 1 - 7/16 = 9/16.

Step-by-step explanation:

me big brain

8 0
3 years ago
Find the equation of the tangent to the circle x2 + y2 = 109 at point (-10,3)
konstantin123 [22]

Answer:

10x - 3y = -109 .

Step-by-step explanation:

x^2 + y^2 = 109

Implicit Differentiation:

2x + 2y.y' = 0

y' = -2x/2y = -x/y

So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.

Equation of the tangent:

y - y1 = m(x - x1)

y - 3 = 10/3(x + 10)

y - 3 = 10/3 x + 100/3

3y - 9 = 10x + 100

-109 + 3y = 10x

10x - 3y = -109  

4 0
2 years ago
Which is a factor of x^2-9x+14?<br> A. X-9<br> B. X-2<br> C. X+5<br> D. X+7
sukhopar [10]

Answer : B

x^2-9x+14

Lets factor x^2-9x+14

We find out two factors whose product is +14 and sum is -9

Two factors are -2  and -7, we split the middle term -9x using -2  and -7

x^2-2x-7x+14

Group first two terms and last two terms

Then factor out GCF from each term

(x^2-2x)(-7x+14)

x(x-2)-7(x-2)

(x-2)(x-7)

so x-2 is one of the factor

3 0
3 years ago
Other questions:
  • D/dx (5x4) - (2x³) - (x²)
    6·1 answer
  • What is the value of x?
    12·1 answer
  • Evaluate the expression for the given variable. Show all work to earn credit 2x2 + 3y +6 if x = 2 and y = 9?
    13·1 answer
  • 17.
    13·1 answer
  • The area of a polygon is the number of square units contained in its interior true or false
    15·1 answer
  • Answer please thanks
    5·2 answers
  • If p is inversely proportional to the square of q, and p is 16 when q is 11, determine p
    12·2 answers
  • If the surface area of a cube is 150 cm2, what is the volume of the cube
    14·1 answer
  • What is meant by the notations AE, AE, and AE
    5·1 answer
  • If 10 litres of petrol can cost 650 calculate the cost of 15 Litres and 25 litres​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!