Please help me!!! A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. If there are eight more large marbles than small marbles, how many total marbles are in the bag?

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:

16-5=11

Step-by-step explanation:

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:

[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:

40p + 10 (1.5p)

Step-by-step explanation:

= 40 · p + (50-40) · (1.5p)

= 40p + 10 (1.5p)

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 solution to a multiplication problem is called a product.

Step-by-step explanation:

Answer:

18.49 ounces

Step-by-step explanation:

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:

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:

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:

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:

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:

B

Step-by-step explanation:

So we have the system of equations:

[tex]x-2y=3\\2x-3y=9[/tex]

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

[tex]x=3+2y[/tex]

Now, substitute this into the secon equation:

[tex]2(3+2y)-3y=9[/tex]

Distribute the 2:

[tex]6+4y-3y=9[/tex]

Combine like terms:

[tex]6+y=9[/tex]

Subtract 6 from both sides:

[tex]y=3[/tex]

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

[tex]x=3+2(3)[/tex]

Multiply:

[tex]x=3+6[/tex]

Add:

[tex]x=9[/tex]

So, our answer is (9,3)

And we're done!

Answer:

1315, 13.09, 13, 13.5%.

Step-by-step explanation:

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

Answer:

Hey there!

6x>-18

Divide by 6 on both sides

x>-3

Let me know if this helps :)

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:

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

here: https://brainly.com/question/2445936

#SPJ2

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:

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:

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

Step-by-step explanation:

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

-19+44

-361+1936

1575

therefore 2 squareroot-19+44

=1575

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.

Answer:

yes because 0.5 is 50%

Step-by-step explanation:

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:

£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