All categories

3 years ago

Please help! And make sure to add a let statement!

Mathematics

1 answer:

Reptile [31]3 years ago

5 0

Answer: See explanation

Step-by-step explanation:

1. Let the small number be x

Then, the bug number will be: x + 25

Therefore, x + x + 25 = 131

2x + 25 = 131

2x = 131 - 25

2x = 106

x = 106 / 2

x = 53

Small number= 53

Big number = x + 25 = 53 + 25 = 78

2. Let the small number be x

Then, the bug number will be: x + 14

x + x + 14 = 58

2x + 14 = 58

2x = 58 - 14

2x = 44

x = 44/2

x = 22

Small number = 22

Bug number = 22 + 14 = 36

The numbers are 22 and 36.

3. Let number of basketball sold be x

Therefore, number of football sold will be x+3.

Therefore, x + x + 3 = 27

2x + 3 = 27

2x = 27 - 3

2x = 24

x = 24/2

x = 12

12 basketball were sold

Number of footballs sold = 12 + 3 = 15

4. Let calories in bowl of soup x

Hamburger = 2 × x = 2x

Therefore, x + 2x = 738

3x = 738

x = 738/3

x = 246

There are 246 calories in bowl of soup

Calories in hamburgers = 246 × 2 = 492 calories

You might be interested in

Pls answer this 5 and _____ are reciprocal numbers.

Jet001 [13]

Answer:

1/5

Step-by-step explanation:

Reciprocal just means flipped you can put any whole number over 1 if it helps to see that

5/1 = 5

Since reciprocal is asking you to flip 5/1 meaning numerator becomes denominator and vice versa you end up with 1/5 being the reciprocal of 5

6 0

3 years ago

57 plus what equals 100

netineya [11]

Answer: 43

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Evaluate each problem below.Please show all work for full points

Fiesta28 [93]

Answer:

The answer to

1. 22/5

2. 3

Step-by-step explanation:

4 0

3 years ago

Find the area of the figure please

Eva8 [605]

Answer:

16m

Step-by-step explanation:

Separate the rectangle from the triangle. The area of the rectange is 10m. We know this because l x w (2m x 5m).

Now for the triangle;

The area of a triangle is b x h / 2. We take the full height of the figure and subtract 5 from it giving us 3 which is our height for the triangle. We then see that 2m is on the bottom and we add that 2m to the two separate 1m giving us 4m in total.

Now that we have the base and height of the triangle we plug in giving us 6m. Finally we add both the areas; 10m + 6m = 16m.

8 0

3 years ago

Read 2 more answers

Find the exponential function P(t)=P0a^t where P(2)=5 and P(4)=10

asambeis [7]

Answer:

$P(t)=\frac{5}{2} \cdot (\sqrt{2})^t$

Step-by-step explanation:

$P(2)=5$ meants when $t=2$ , that the value for $P(t)$ is 5.

So this gives us this equation:

$5=P_0 \cdot a^2$

$P(4)=10$ meants when $t=4$ , that the value for $P(t)$ is 10.

So this gives us this equation:

$10=P_0 \cdot a^4$

So I take equation 2 and divide it be equation 1 I get:

$\frac{10}{5}=\frac{P_0 \cdot a_4}{P_0 \cdot a_2}$

Simplifying:

$2=a^2$

Since the base for an exponential function can't be negative then $a=\sqrt{2}$ .

So plugging into one of my equations I began with gives me an equation to solve for the initial value, $P_0$ :

$5=P_0 \cdot (\sqrt{2})^2$

$5=P_0 \cdot 2$

Divide both sides by 2:

$\frac{5}{2}=P_0$

The function is:

$P(t)=\frac{5}{2} \cdot (\sqrt{2})^t$

7 0

3 years ago