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levacccp [35]
2 years ago
13

A recipe uses 2 1/4 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

Mathematics
1 answer:
andrew-mc [135]2 years ago
7 0

Answer: 22 1/2 cups

Step-by-step explanation:

multiply 2 1/4 (2.25) by 10 and you get 22.5 or 22 1/4 cups

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If (x+2) is a factor of 3x^2-4kx-4k^2, then find the value(s) of k
IRINA_888 [86]

Answer:

The values of k will be:

k=-1,\:k=3

Step-by-step explanation:

Let the expression of polynomial P be

P\left(x\right)=3x^2-4kx-4k^2

Let the expression if the polynomial Q be

\:Q\left(x\right)=\:\left(x+2\right)\:

Plug in Q(x) = 0

0 = x+2

x = -2

As (x+2) is a factor of 3x²-4kx-4k²

substitute x = -2 in the the polynomial

3x²-4kx-4k² = 0

3\left(-2\right)^2-4k\left(-2\right)-4k^2\:=0

12+8k-4k^2=0

Write in the standard form ax²+bx+c = 0

-4k^2+8k+12=0

Factor out common term -4

-4\left(k^2-2k-3\right)=0

Factor k²-2k-3: (k+1)(k-3)

-4\left(k+1\right)\left(k-3\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

k+1=0\quad \mathrm{or}\quad \:k-3=0

solving k+1=0

k+1 = 0

k = -1

solving k-3=0

k-3=0

k = 3

Thus, the values of k will be:

k=-1,\:k=3

4 0
2 years ago
Amelia used 6 liters of gasoline to drive 48 kilometers.
Margarita [4]
For every liter she used, she drove 8 kilometers. In this problem you are finding the unit rate. In order to do this you divide 48 (kilometers) by 6 (liters of gasoline).

48 Divided by 6 equals to 6 Kilometers
—- —-
6 Divided by 6 equals to 1 Liter

For the second question you divide the liter by 6. Amelia used 0.1666 liters of gasoline per kilometer. 0.1666 is equivalent to 1/6.
4 0
2 years ago
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STALIN [3.7K]

Answer:

175% of 4 is 7

Step-by-step explanation:

i hope this helps

7 0
2 years ago
an orange triangular warning sign by the side of the rode has an area of 180 square inches. The base of the sign is 2 inches lon
leva [86]
360 lol hope this helps

7 0
2 years ago
A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
STatiana [176]

Answer:

y = 10/9x + 9

Step-by-step explanation:

To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).

Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (0, 9)

and (x2, y2) = (9, 19)

Substitute these values on the formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}

Therefore, the slope (<em>m </em>) = 10/9.

Next, the <u>y-intercept</u> is the point on the graph where it crosses the y-axis, and has the coordinates, (0, <em>b </em>). It is also the value of the y when x = 0.

One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.

Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9

3 0
2 years ago
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