A recipe calls for 6.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL? (Use the conversion rates as provided)
A. 32.05 mL
B. 29.55 mL
C. 34.20 mL
D. 25.80 mL
Explanation:
We need to find the mL in 6.5 teaspoons from the given information.
If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:
(frac{6.5}{x} = frac{1}{4.93})
Find the value of x by cross-products
6.5 * 4.93 = x
32.05 = x
Therefore, 6.5 teaspoons equal 32.05 mL.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: A recipe calls for 4 teaspoons of vanilla. 1 teaspoon equals approximately 4.98 mL. Which of the following is the correct amount of vanilla in mL?
A. 5.35 mL
B. 50.7 mL
C. 19.92 mL
D. 12.25 mL
Answer Explanation
We need to find the mL in 4 teaspoons from the given information.
If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:
Find the value of x by cross-products
Therefore, 4 teaspoons equal 19.92 mL.
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Q #2: Which of the following is the value of x in the equation below? (left|3x-7 ight|-13=2)
A. x = 21/3, x=22/3
B. x = 7/3, x=9/3
C. x = 15/2, x=9/3
D. x = 22/3, x=-8/3
Answer Explanation
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Add 13 to both sides to isolate the absolute value term, resulting in ( left|3x-7 ight|= 15)
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Consider two cases:
- When (+(3x-7)) is positive, solve for x to get (3x = 15 + 7) then (3x=22) (finally x=frac{22}{3})
- When (-(3x-7)) is negative (but the absolute value makes it positive). Solve for x to get (-3x = 15 - 7) then (-3x=8) (finally x=- frac{8}{3})
So, there are two possible solutions: (x=frac{22}{3} or x=- frac{8}{3})
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Q #3: ((frac{x}{y}) + rw = z) Solve for x in the equation above.
A. x=y(z-rw)
B. x=rw(y-z)
C. x=w(z+ry)
D. x=rwy-z
Answer Explanation
The question requires us we make x the subject of the formula.
First, we subtract rw to both sides of the equation
Multiply both sides by y
Thus, the formula for finding the value of x is y(z-rw).
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Q #4: -1/3, -0.6, -1.5, -7/3. Of the numbers listed above, which number is the greatest?
A. -0.6
B. -7/3
C. -1/3
D. -1.5
Answer Explanation
To find the greatest value, we need to have uniform numbers. That is, all numbers must be in fraction for easy comparison. Therefore, we convert -0.6, and -1.5 into fractions as follows. For purposes of easy computation, we do not simplify the resulting fractions.
-0.6=-6/10
-1.5=-15/10
Now, the resulting fractions are -1/3, -6/10, -15/10, and -7/3. The greatest value is found by finding the LCM of the denominators and multiplying with each fraction. The LCM of 3 and 10 is 30. Then,
-1/3*30=-10
-6/10*30=-18
-15/10*30=-45
-7/3*30=-70
Based on the obtained values, -10 is the greatest value and -70 the least value. Therefore, -1/3 is the greatest of all the four options.
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Q #5: Simplify the expression above. Which of the following is correct?
A. 33
B. 44
C. 25
D. 12
Answer Explanation
Let's simplify the expression step by step:
Step 1: Inside the square brackets, perform the operation within parentheses first:
([4(3+6?5)]=[4(3+30)] )
Step 2: Continue simplifying inside the square brackets:
([4(3+30)]=[4ast33])
Step 3: Calculate the value inside the square brackets:
([4ast33]=132)
Step 4: Now, deal with the denominator:
((20÷5)=4)
Step 5: Finally, divide the result from step 3 by the result from step 4:
(132/4=33)
So, the simplified expression is 33.
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Q #6: Which of the following is the value of x in the equation below. (|2x - 4| - 10 = 2)
A. x=4 or x=-8
B. x=-4 or x=8
C. x=-2 or x=1
D. x=-3 or x=5
Answer Explanation
Explanation:
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If
, a>0, then u=a or u=-aIn this case a=12, which is greater 0. Then, the first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4 or 8.
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Q #7: Which of the following is the weight of the cargo in a truck if 3/5 of the cargo weighs 615 pounds (lb)?
A. 1025 lb
B. 1320 lb
C. 1548 lb
D. 788 lb
Answer Explanation
In this problem, we assume the truck carry a whole cargo to carry. Thus, total weight is found by dividing 615 lb by 3/5. Thus,
We change the division sign to product and multiply 615 by reciprocal of 3/5. Then,
(615 * frac{5}{3} = 1025 lb)
The weight of the cargo in the truck will be 1025 lb.
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Q #8: A plastic bucket containing 4/5 gallons of water is 3/4 full. How many gallons of water is in one fully filled bucket?
A. 1 1/15
B. 2 4/15
C. 9/15
D. 11/15
Answer Explanation
Given:
- A plastic bucket containing 4/5 gallons of water is 3/4 full.
To find:
- How many gallons of water is in one fully filled bucket?
Let's use the proportion formula to solve this:
If 3/4 of the bucket is 4/5 gallons, then 1 full bucket (or 4/4 of the bucket) will contain how many gallons?
\(\frac{3}{4}\) of the bucket = \(\frac{4}{5}\) gallons \(\frac{4}{3}\) of the bucket = \(\frac{5}{4}\) gallons \(\frac{4}{4}\) of the bucket=\(?\) gallons
\(\frac{4}{4}\) of the bucket = x gallons
Cross multiplying: x = \(\frac{4}{4}*\frac{4}{5}\ *\ \frac{4}{3}x = \frac{4}{5}*\frac{4}{3} = x\)
\(x\ =\ \frac{16}{15}\)
Thus, a fully filled bucket contains \(\frac{16}{15}\ =\ 1\frac{1}{15}\) gallons of water. Therefore, the correct choice is:
Choice A: 1 1/15
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Q #9: Joe’s uncle is eight less than four times Joe’s age. Which of the equations represents Joe’s uncle’s age (u) as it relates to Joe’s age (k)?
A. u=8-4k
B. k=4u-8
C. k=8-4u
D. u=4k-8
Answer Explanation
We are asked to form an equation to find Joe’s uncle’s age to the age of Joe.
First, we find Joe’s age which is k. We know that Joe’s uncle’s age is four times that of Joe less 8. Then,
Joe’s uncle’s age, u = 4k-8.
Thus, the age of Joe’s uncle is u=4k-8.
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Q #10: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?
A. 162
B. 171
C. 378
D. 189
Answer Explanation
we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.
If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.
Find the value of x by cross-products
Divide both sides of the equation by 100%
Thus, 171 students out of 900 students will enroll for a respiratory care program.
