Answer:
There are 60 more girls

Answer:
### Final answer:

### Explanation:

### Learn more about Ratios here:

There are 420 students divided into 7 parts due to the ratio of girls to boys being 4:3. With one part totaling 60 students, there are 240 girls and 180 boys. Thus, there are** 60 **more girls than boys.

To solve this problem, you need to understand the concept of ratios. In this case, the ratio of girls to boys is 4:3. This means that for every 4 girls, there are 3 boys. If we add the two parts of the ratio together, we get 7 parts. This means that the total number of students, which is **420**, is to be divided into 7 parts.

So, one part of this ratio is equal to 420 divided by 7, which equals 60 students. Since the ratio claims there are 4 parts of girls and 3 parts of boys, to find out the numbers of girls and boys, we multiply each part of the ratio by 60. Hence, the total number of **girls** is 4 multiplied by 60, which equals 240 and the number of boys is 3 multiplied by 60, which equals 180.

Therefore, the difference in number between girls and boys is 240 minus 180, which equals 60. So there are 60 more girls than boys.

#SPJ2

MacGyver wants to estimate the width of a river so he can get to the other side to save the world. He makes the measurements pictured. How wide is the river? Will he be able to do it?

Wyatt surveyed 200 of the students in his school about their favorite color. 30% said their favorite color was purple. How many students' favorite color was purple?

-(- 3.8a - 9b + 5.8)

5 (x - 3) > 15show your work

A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. How many milesmust be driven in a day to make the rental cost for Company A a better deal than Company B's?For Company A to have a better deal, the truck must be driven more than miles per day

Wyatt surveyed 200 of the students in his school about their favorite color. 30% said their favorite color was purple. How many students' favorite color was purple?

-(- 3.8a - 9b + 5.8)

5 (x - 3) > 15show your work

A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. How many milesmust be driven in a day to make the rental cost for Company A a better deal than Company B's?For Company A to have a better deal, the truck must be driven more than miles per day

**Answer:**

y-3 = 2/9 (x-8)

**Step-by-step explanation:**

Required:

a. Convert this to an exponential function using base e.

b. Verify that the original function and the result from part (a) yield the same result for Q(0), Q(1620), and Q(3240).

**Answer:**

**(a)**

**Step-by-step explanation:**

We are given that

Half life of radium-226=1620 yr

The quantity left Q(t) after t years is given by

a. We have to convert the given function into an exponential function using base e.

=

=

**=**

(b)

**=1**

From original function

**Q(0)=1**

From exponential function

**Q(3240)=0.249=**

Hence, verified.

**Step-by-step explanation:**

If x is the kilograms of 30% chocolate, and y is the kilograms of 50% chocolate, then:

x + y = 200

0.30x + 0.50y = 0.46(200)

Solving the system of equations with substitution:

0.30x + 0.50(200 − x) = 0.46(200)

0.30x + 100 − 0.50x = 92

8 = 0.20x

x = 40

y = 200 − x

y = 160

The distributor needs 40 kg of 30% chocolate and 160 kg of 50% chocolate.

To obtain 200 kilograms of a 46% fat-content chocolate, the candy distributor needs to mix 40 kilograms of a 30% fat-content chocolate and 160 kilograms of a 50% fat-content chocolate.

This problem can be solved using a basic **mixture problem method. **Let's name the amount of the 30% fat-content chocolate as 'x' and the amount of the 50% fat-content chocolate as 'y'. The total weight of the resulting chocolate is provided in the problem, 200 kilograms, therefore we know that x + y = 200.

The total fat in the chocolates should be 46% of 200kg, or 92kg. This gives us another equation based on the fat content, 0.3x + 0.5y = 92.

Solving these two equations **linearly, **we find the values of x and y. The amount of 30% fat content chocolate (**x**) is 40 kilograms and the amount of 50% fat-content chocolate (**y**) is 160 kilograms.

#SPJ3

**Answer:**

26 whole 3/40

**Step-by-step explanation:**

Multiply the denominator with the number in middle and add to top,

13/3+ 17/5+ 46/16

LCM& Changing into lowest terms,

(65+51)/15+23/8

116/5+23/8

(928+115)/40

1043/40

26 whole 3/40

Idek dog you should know honestly

**Answer:**

**OPTION B: 57x - 3**

**Step-by-step explanation:**

Total tires produced is the sum of number of over-sized tires and the number of compact tires.

So, we have when **x = 1**, tires, **y =** 23 + 31 = **54**

When **x = 2**, total tires **y =** 48 + 63 =** 111**

When **x = 3**, total tires **y =** 73 + 95 = **168**

When **x = 4**, total tires **y =** 98 + 127 = **225**

We can substitute the options to check which one will be the correct representation.

**Option A: 55x - 1**

When x = 1, y = 55(1) - 1 = 54

When x = 2, y = 55(2) - 1 = 109 111

So, this option is eliminated.

**Option B: 57x - 1**

When x = 1, y = 57(1) - 3 = 54

When x = 2, y = 57(2) - 3 = 111

When x = 3, y = 57(3) - 3 = 168

When x = 4, y = 57(4) - 3 = 225

These values exactly match with the values from the table. So, Option B is the right answer.

**Option C: ****110x - 2**

When x = 1, y = 110(1) - 2 = 108 54

Hence, this option is incorrect.

**Option D: 114x - 6**

When x = 1, y = 114(1) - 6 54

Hence, this option is also eliminated.

**Option B** is the required answer.

Answer: D

Step-by-step explanation:

the person above me was on the right track but needed to multiply the sum of the y values by 2. Therefore the answer should be D

**Answer:**

They are both 42 cm

**Step-by-step explanation:**