An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper.

Answer:

5/4

Step-by-step explanation:

1/20, 2/3, and 20/25 do not have a whole number that could fit in them when 5/4 does (1 1/4) so when all the other fractions can't have a whole number fit in, 5/4 or 1 1/4 does.

The fraction 5/4 does not belong to.

A fraction is a quantity which is not whole number. In the mathematical expression, a fraction usually has a numerator and a denominator.

The numerator is the number top of the fraction. While the denominator is the number below of the fraction.

for example, a fraction is = 3/8

where 3 is the numerator while 8 is the denominator

A proper fraction is a fraction in which the numerator is smaller than the denominator in value .

For an example is 3/7

An improper fraction is a fraction in which the numerator is greater than the denominator in value.

For an example is 7/3

Here given in the options, 1/20, 20/25, and 2/3 are proper fractions because their numerator is smaller than the denominator in value. (as 1<20, 20<25, 2<3)

But 5/4 is an improper fraction as numerator is greater than the denominator in value.

So 5/4 does not belong to because it is an improper fraction while others are the proper fraction.

Learn more about proper and improper fraction

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Answer:

40p + 10 (1.5p)

Step-by-step explanation:

= 40 · p + (50-40) · (1.5p)

= 40p + 10 (1.5p)

Answer: y=1/4x + 4  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6  and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.

(-4,3)  the x coordinate is -4 and the y coordinate is 3

3 = 1/4(-4) + b  

3 = -1 + b

+1   +1

b= 4  

The y intercept is 4 so the equation will be y=1/4x + 4

Answer:

-4.5 is correct answer

Step-by-step explanation:

[tex] \frac{1}{3} ( - 15 + \frac{3}{2} ) \\ = \frac{1}{3} ( \frac{ - 30 + 3}{2} ) \\ = \frac{1}{3} ( \frac{ - 27}{2} ) \\ = \frac{ - 9}{2} [/tex]

hope it helped you:)

Answer:

70

Step-by-step explanation:

Step 1:

a² + b² = c²

Step 2:

56² + 42² = 4900

Step 3:

4900 ÷ 70 = 70

Answer:

70

Hope This Helps :)

Answer:

The error Ben made was writing down 6,550,000 cars rather than 5,650,000 cars in the report.

He can fix it by correcting the wrong numbers.

Step-by-step explanation:

American car produce 5,650,000 cars each year.

When writing a report Ben wrote down that americans produce 6,550,000 cars every year

Therefore the error Ben made in the report was that he mixed the numbers, he ought to have written 5 and 6 as the initial two numbers but rather he wrote the first number as 6 and the second number as 5.

Ben can fix his mistake by correcting the numbers and writing down the correct initial two numbers which are 6 and 5.

Hence, doing this will give him the correct number of cars which is 5,650,000 cars.

-19+44

-361+1936

1575

therefore 2 squareroot-19+44

=1575

Answer:

over the interval [2,3)

for an input value of 1.5, the corresponding output value is -2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We are given the function.

[tex]h(x)=e^{2x}[/tex]

And we want to find its inverse.

Let's switch h(x) and x and change h(x) to h⁻¹(x). Hence solve:

[tex]\displaystyle \begin{aligned} x & = e^{2h^{-1}(x)} \\ \\ \ln x & = \ln e^{2h^{-1}(x)} \\ \\ \ln x & = 2h^{-1}(x) \\ \\ h^{-1}(x) & = \frac{1}{2} \ln x\end{aligned}[/tex]

In conclusion, our answer is C.

Note:

[tex]\ln(x)=\log_ex[/tex]

Answer:

131

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 38 and a₈₅ = 257 , then

a₁ +11d = 38 → (1)

a₁ + 84d = 257 → (2)

Subtract (1) from (2) term by term

73d = 219 ( divide both sides by 73 )

d = 3

Substitute d = 3 into (1)

a₁ + 11(3) = 38

a₁ + 33 = 38 ( subtract 33 from both sides )

a₁ = 5

Thus

5 + 3(n - 1) = 395 ( subtract 5 from both sides )

3(n - 1) = 390 ( divide both sides by 3 )

n - 1 = 130 ( add 1 to both sides )

n = 131

Thus there are 131 terms in the sequence

Answer:

£15.75

Step-by-step explanation:

£145.50 - £129.75

Answer:

The shop keeper made 15.75$ in an hour.

Step-by-step explanation:

Minus 129.75-145.50

Answer:

Hey there!

6x>-18

Divide by 6 on both sides

x>-3

Let me know if this helps :)

Part a.$10 x 40 hours= $400 ($10x=W) X= 40 hours a week

Part b. $10 x 40 hours= $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more then 40 hours you take the number of hours over time and multiply it by 15.

Part c. Okay so knowing that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400 so we need to figure out 15 times what is equal to 90. 15 times 6 is equal to 90 which means that Drey worked for 46 hours

i hope this helps you good luck :)

Answer:

the graph you are looking for should look like this!

Step-by-step explanation:

hope this helped!

(hint* if you are ever in trouble use desmos! its a free online graphing calculator and HELPS SOO much! its what i used to give you the answer, i just typed in the inequality and it tells you the answer)

The shaded region represents the possible solutions of the inequality.

Given is the inequality -

y ≤ (1/2)x - 4

Refer to the graph of the inequality attached. It is showing the inequality being plotted. The shaded region represents the possible solutions of the inequality.

Therefore, the shaded region represents the possible solutions of the inequality.

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Answer:

Step-by-step explanation:

To write 3km: 500m in its lowest terms. we need to make sure the units are the same.

Converting 3km to metres:

Since 1km = 1000m

3km = (3*1000)m

3km = 3000m

The expression becomes 3000m:500m

3000m:500m = 3000/500

3000m:500m = 6*500/500*1

3000m:500m = 6/1

Hence 3km: 500m in its lowest term is 6:1

Answer:

The solution to a multiplication problem is called a product.

Step-by-step explanation:

Answer:

Equilateral Triangle, Isosceles Triangle, Scalene Triangle

Step-by-step explanation:

Equilateral: 3 lines of symmetry

Isosceles: 1 line of symmetry

Scalene: no lines of symmetry

Answer:

-2y2 - 4y - 7

Step-by-step explanation:

2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1

4y2 - 6y2 - 4y - 8 + 1

-2y2 - 4y - 7

Answer:

Answer:

18.49 ounces

Step-by-step explanation:

Answer:

x=√2 or x=−√2

Let's solve your equation step-by-step.

6=3x2

Step 1: Subtract 3x^2 from both sides.

6−3x2=3x2−3x2

−3x2+6=0

Step 2: Subtract 6 from both sides.

−3x2+6−6=0−6

−3x2=−6

Step 3: Divide both sides by -3.

−3x2

−3

=

−6

−3

x2=2

Step 4: Take square root.

x=±√2

x=√2 or x=−√2

Answer:

1/(-3)

Step-by-step explanation:

Simplify the following:

2/(-6)

Hint: | Reduce 2/(-6) to lowest terms. Start by finding the GCD of 2 and -6.

The gcd of 2 and -6 is 2, so 2/(-6) = (2×1)/(2 (-3)) = 2/2×1/(-3) = 1/(-3):

Answer: 1/(-3)

Answer:

See below.

Step-by-step explanation:

So we have:

[tex]\text{if }j=k\text{ then } k=j[/tex]

This is an example of the symmetric property. The equation remains true every if you flip them.

Answer:

[tex]w=\frac{3}{2} ,-1[/tex]

Step-by-step explanation:

[tex]3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\[/tex]

here we have two cases

the number that give an absolute value of 5 are 5 and -5

so we have

[tex]4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}[/tex]

and the other case

[tex]4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1[/tex]

Answer:

[tex] {9}^{3} [/tex]

Step-by-step explanation:

[tex]9 \times 9 \times 9 \\ = {9}^{3} [/tex]

Answer:

yes because 0.5 is 50%

Step-by-step explanation:

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

Answer:

1315, 13.09, 13, 13.5%.

Step-by-step explanation:

13.5% is less than 1 because 100% = 1.