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20 days ago

5

Addison wants to ride her bicycle more than 80 miles this week. She has already ridden her bicycle 18 miles. Which inequality co

uld be used to determine the mean number if miles, m, she would need to ride her bicycle each day for six more days to achieve her goal?

1 answer:

babunello [8.4K]20 days ago

4 0

Addison needs to cycle more than 10.33 miles each day, signified by x > 10.33.

Next, she has 62 miles left to cover for the week. To find the daily average, we divide this figure by 6.

Carrying out the division gives us 10 and one-third, or roughly 10.33 miles.

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2. Santiago wants the lateral surfaces of the

Inessa [9009]

Answer:

Red paint will cover 262 square feet

of the ramp.

Step-by-step explanation:

The lateral surface area represents the surface area of the sides of the ramp without including the top and bottom surfaces

This ramp has three surfaces

The two sides are triangular with dimensions of length 20 and height 8.5

The back consists of a rectangular shape with length 12 and height 8.5

Step 1: Calculating the Area of Triangle

The area of the triangular side = $\frac{1}{2} length \times height$

The area of the triangle = $\frac{1}{2} (20 \times 8.5)$

The area of the triangle = $\frac{170}{2}$

Thus, the area of the triangle = 85 square feet

Area of both triangles = $85 \times 2$ = 170

Step 2: Finding the Area of Rectangle

Area of rectangle = $length \times height$

therefore,

Area of the rectangular back = $12 \times 8.5$ = 102 square feet

Step 3: Calculating the total lateral surface area

Overall Lateral Surface Area

= Area of triangles + Area of Rectangle

= 272 square feet

8 0

10 days ago

Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y

babunello [8426]

Answer:

$n = 3$

$XY = 39$

$XZ = 39$

Step-by-step explanation:

Given

$XY = 9n + 12$

$XZ = 15n - 6$

Solving for (a): n

To find n;

We will utilize

$XY = XZ$

Substituting values for XY and XZ

$9n + 12 = 15n - 6$

$9n - 15n = -12 - 6$

$-6n = -18$

Dividing by -6

$n = 3$

Solving for (b) XY

$XY = 9n + 12$

Substituting 3 for n

$XY = 9 * 3 + 12$

$XY = 27 + 12$

$XY = 39$

Solving for (c): XZ

$XZ = XY$

$XZ = 39$

7 0

29 days ago

A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the equipment was $14 comma 550

babunello [8426]

Answer:

$\frac{dV(t)}{dt} =$ - 1675.38

Step-by-step explanation:

In 2017, the kitchen equipment's value was recorded at $14,550.

V(0)=$14550

Its following value is represented by $V(t)=14550e^{-0.158t$ .

We need to ascertain the rate of value change as of January 1, 2019.

$V(t)=14550e^{-0.158t$

$\frac{dV(t)}{dt} =\frac{d}{dt}14550e^{-0.158t$

$\frac{dV(t)}{dt} =14550 \frac{d}{dt}e^{-0.158t$

$\\Let u= -0.158t,\frac{du}{dt}=-0.158$

$\frac{dV(t)}{dt} =14550 \frac{d}{du}e^u\frac{du}{dt}$

$\frac{dV(t)}{dt} =14550 X -0.158 e^{-0.158t}=-2298.9e^{-0.158t}$

As of 2019, which is 2 years later, we set t=2.

The rate of value change is

$\frac{dV(t)}{dt} =-2298.9e^{-0.158X2}$

= $\frac{dV(t)}{dt} =-2298.9e^{-0.316}$ = -1675.38

3 0

26 days ago

Distinguish between rote and rational counting

Zina [9184]

Answer: There exists a distinction between rote counting and rational counting. Rote counting requires memorizing sequences of numbers, whereas rational counting informs children about "how many items there are." For children to engage in rational counting, they must exhibit one-to-one correspondence.

6 0

23 days ago

A fabric store sells two types of ribbon. One customer buys 3 rolls of the lace ribbon and 2 rolls of the satin ribbon and has a

tester [8851]

Let L represent the yards in a roll of lace ribbon and S represent the yards in a roll of satin ribbon. We can formulate two equations: 3L + 2S = 120 yards (Equation 1) and 2L + 4S = 160 yards (Equation 2). If we multiply Equation 1 by 2 and subtract Equation 2, we have: 6L + 4S = 240 yards (Equation 1) and 2L + 4S = 160 yards (Equation 2). Thus, 4L equals 80 yards, leading to L equating to 20 yards. For Equation 1, substituting gives 3(20 yards) + 2S = 120 yards, leading to 2S equal to 60 yards, so S equals 30 yards. Therefore, a roll of lace ribbon contains 20 yards, while a roll of satin ribbon has 30 yards.

7 0

9 days ago