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Colt1911 [192]
3 years ago
10

Solving a decimal word problem using a linear equation of the for...

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

5 pounds of coffee

Step-by-step explanation:

Let the number of pounds of coffee bought be 'x'.

Given:

Value on gift card = $90

Value of coffee per pound = $8.09

Money left after buying coffee = $49.55

Now, using unitary method,

1 pound cost = $8.09

∴ 'x' pounds cost = 8.09x

Now, Money left = Total money on gift card - Cost of coffee.

49.55=90-8.09x\\\\8.09x=90-49.55\\\\8.09x=40.45\\\\x=\frac{40.45}{8.09}=5

Therefore, Lashonda bought 5 pounds of coffee.

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A group of tenth grade students responded to a survey that was asked which Math course they were currently enrolled in. The surv
ale4655 [162]

Answer:

C.

Step-by-step explanation:

The bottom-right most cell tells us that the total number of students that responded to the survey is 310 students.

To find the answer, we can go through each choice.

A. Females taking Geometry

Row 1 Column 2 tells us that 53 females are taking geometry. 53/310 is about 17%.

B. Females taking Algebra II.

Row 1 Colume 3 tells us that 62 females are taking Algebra II. 62/310 is 20%.

C. Males taking Geometry.

Row 2 Colume 2 tells us that 59 males are taking Geometry. 59/310 is about 19%. Choice C is correct.

D. Males taking Algebra I.

44 out of the total 310 respondents are male and is taking Algebra I. 44/310 is about 14%.

4 0
3 years ago
- 2x – 117 = = 10x + 59
Alexxx [7]

Answer:

\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}

Step-by-step explanation:

-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}

4 0
3 years ago
Ryan buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 4 sugar
Pavlova-9 [17]

Answer:

4/69 to be exact. Slightly greater than 1/18

Step-by-step explanation:

The chance of selecting the PB cookie on the first try is 4 out of 24 or 1 out of 6. There are now 23 coolies left; 8 are chocolate, so 8/23 chance. (Slightly greater than 1/3) The chance of both events happening is the product if the individual events' chances. So multiply 1/6 times 8/23 to get 8/138. That reduces to 4/ 69. If he had put that first cookie back, the multiplication would have been 1/6×1/3. A lot easier.

4 0
3 years ago
5 and 1/2in and 5 1/2in
emmainna [20.7K]

Answer:

11 inches

Step-by-step explanation:

((5 1/2) inches) + ((5 1/2) inches)

7 0
3 years ago
In your part-time job, your hours vary each week. One week you worked 22 hours, the next 25 hours, the third 14 hours, and the f
Dmitry_Shevchenko [17]

Answer:

$300

Step-by-step explanation:

1 month =4 weeks

1 week=22 hrs

2 week= 25 hrs

3 week = 14 hrs

4 week = 19 hrs

Total of hrs in the month is 80 hrs

80 hrs = $960

25 hrs = ?

960×25÷80=300

Answer =$ 300

7 0
3 years ago
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