Henry wants to double a cake recipe that uses 2 cups and 10 tbsp of flour. How much flour will he need?

a=2+6t, b=10+2t

a=b when

2+6t=10+2t  subtract 2t from both sides

2+4t=10  subtract 2 from both sides

4t=8  divide both sides by 4

t=2

Thus, they will have the same amount of snowfall after two hours

hope i helped

∠1 and ∠8 are alternate exterior angles while ∠3 and ∠6 are alternate interior angles.

step-by-step explanation:

When transversal l intersects lines m and n, the angles formed outside each line on the opposite side of the transversal constitute alternate angles (like ∠1 and ∠8). In contrast, alternate interior angles appear on opposite sides but are located between the two lines (like ∠3 and ∠6).

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Keywords: Transversal, angles

Response:

The number 40 can be found in Pattern B. Additionally, following the rule, each sequence will expand.

Detailed breakdown:

Let’s build each sequence. Recall that the guideline is to "add 15" to generate each sequence starting from the provided initial number.

Pattern A.

Pattern B.

Pattern C.

You can see that the number 40 appears in Pattern B. Moreover, per the rule, each pattern will show an increase.

Response: The following comparison is made.

Detailed explanation:

At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.

The slope can be calculated as vertical height divided by horizontal length.

=  6/4 = 3/2 = 1.5

In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.

Therefore, slope, =  10/6 = 5/3 = 1.67 (approximately)

As such, <

Thus, the slope of the first climbing structure is less than that of the second.

Response:

e. 545

Detailed explanation:

In a survey sample containing n individuals, with a success probability of , and a confidence level of , the ensuing confidence interval for proportions is established.

Wherein

z denotes the z-score corresponding to a probability value of .

For this scenario, we find:

The estimate averages the two bounds. Thus

95% confidence level

Consequently, z represents the z value corresponding to the p-value of , hence .

The lower boundary of this interval is:

In this query, L = 0.82. Therefore

Thus, the accurate response is:

e. 545