Mathematics Questions and Answers

Express 8/11​ as a repeating decimal. Mark the cycle of repeating digits with a bar.

# 3.7.3 Test (CST): Constructions and Transformations Which of these figures has rotational symmetry? O. B. C. D.

# Which of the following fractions is equivalent to $\frac{5}{6}$ ? A. $\frac{10}{12}$ B. $\frac{15}{18}$ C. $\frac{20}{24}$ D. $\frac{25}{30}$

Select the correct answer. Which statement best defines perpendicular lines? A. lines that lie in the same plane B. lines that intersect and form right angles C. lines that lie in the same plane and do not intersect D. lines that share a point

Which expression is equivalent to (st)(6)? A. 6st B. s+t+6 C. 6s+t D. s(t+6)

When you graph an inequality, do you use a closed dot or an open dot?

1.2 kg is equal to how many grams? A. 12 B. 120 C. 1200 D. 12,000

which number produces an irrational number when multiplied by 0.5 | O.A. | 176 | | --- | --- | | O.B. | 1 | | | 3 | | O.C. | 0.555 | | O.D. | 43 |

Explain how you would find the base area of a rectangular prism if you know the volume and the height.

Draw a 135-degree angle accurately.

The label on a can of lemonade gives the volume as 12 fl oz or 355 ml. Verify that these two measurements are nearly equivalent.

Complete the proportion you can use to convert 60 inches to centimeters. Enter your answer with one decimal place. $$ \frac{1 \text { inch }}{2.54 \text { centimeters }}=\frac{60 \text { inches }}{\text { centimeters }} $$

# Question 1 of 10 Which of the following is equal to $5^{1 / 2}$ ? A. $1 / 5$ B. $5^{3}$ C. $1 / 5$ D. $15 \cdot 3$

By the congruent supplements theorem, what can you conclude? A. ∠CBG≅∠DBG B. ∠FBC≅∠DBG C. ∠CBG is supplementary to ∠DBF D. ∠FBC is supplementary to ∠DBG

Solve for $x$. $$ x^{2}=14 $$ Responses: A. $x= \pm \sqrt{14}$ B. $x= \pm \frac{1}{8}$ C. $x= \pm \frac{1}{2}$ D. $x= \pm \frac{1}{16}$ E. $x= \pm 2$

graph), calculate k from the data. rate= k [S2O5 * 2-|* x |*|*|*|*| | (for solution 2 | | | 3 | | --- | --- | --- | --- | | | | | | | Chemical Reactions 1: | | | | | A Clock Reaction | | | | | A. Preliminary Experiments | | | | | 1. | | | | | 2. | | | | | 3. | | | | | 4. | | | | | B. Kinetics Experiment | | | | | Solution 1. Initial [S2O5 * 2-|* x 0.05 M; initial [1 1-0.005 M. Time experiment started | | | | | | | | | | Aliquot no. | Time (s) between | | Total moles of | | | appearances of color | Cumulative times (s) | S2O5 * consumed | | 1 | 18.5 | 18.5 | 2.0×10-4 | | 2 | 19.0 | 27.0 | 4.0×10-4 | | 3 | 20.0 | 29.0 | 6.0×10-4 | | 4 | 21.5 | 31.5 | 8.0×10-4 | | 5 | 22.0 | 32.0 | 10×10-4 | | 6 | 23.5 | 33.5 | 12×10-4 | | 7 | 24.5 | 35.0 | 14×10-4 | | | | | | | Solution 2. Initial [S2O5 * 2-0.10 M; initial [1 1-0.010 M. Time experiment started | | | | | | | | | | Aliquot no. | Time (s) between | | Total moles of | | | appearances of color | Cumulative times (s) | S2O5 * consumed | | 1 | 4.0 | 4.0 | 2.0×10-4 | | 2 | 4.5 | 5.0 | 4.0×10-4 | | 3 | 5.5 | 6.0 | 6.0×10-4 | | 4 | 6.5 | 7.0 | 8.0×10-4 | | 5 | 7.0 | 8.0 | 10×10-4 | | 6 | 8.0 | 9.0 | 10×10-4 | | 7 | 9.0 | 10.0 | 12×10-4 | | | | | | | Solution 3. Initial [S2O5 * 2-0.05 M; initial [1 1-0.010 M. Time experiment started | | | | | | | | | | Aliquot no. | Time (s) between | | Total moles of | | | appearances of color | Cumulative times (s) | S2O5 * consumed | | 1 | 13.5 | 13.5 | 4.0×10-4 | | 2 | 13.0 | 14.0 | 6.0×10-4 | | 3 | 13.5 | 14.5 | 8.0×10-4 | | 4 | 14.5 | 15.0 | 10×10-4 | | 5 | 15.5 | 16.0 | 12×10-4 | | 6 | 16.0 | 17.0 | 14×10-4 | | 7 | 17.0 | 18.0 | 14×10-4 | | | | | | | Solution 4. Initial [S2O5 * 2-0.10 M; initial [1 1-0.025 M. Time experiment started | | | | | | | | | | Aliquot no. | Time (s) between | | Total moles of | | | appearances of color | Cumulative times (s) | S2O5 * consumed | | 1 | 19.5 | 19.5 | 2.0×10-4 | | 2 | 19.5 | 20.0 | 4.0×10-4 | | 3 | 20.5 | 21.5 | 6.0×10-4 | | 4 | 21.5 | 22.0 | 8.0×10-4 | | 5 | 22.0 | 23.0 | 10×10-4 | | 6 | 23.5 | 24.5 | 12×10-4 | | 7 | 25.0 | 25.5 | 14×10-4 | | | | | |

A speed limit of 45 mph is equivalent to 72 km/h. A sign says the speed limit is 90 km/h. What is the speed limit in miles per hour?

Explain the steps involved in adding two rational expressions. Find a common denominator: Identify the least common multiple (LCM) of the denominators of the two rational expressions. Rewrite each fraction: Convert each rational expression to an equivalent expression with the common denominator. Combine the numerators: Add the numerators of the equivalent fractions while keeping the common denominator. Simplify the result: Simplify the resulting fraction, if possible, by factoring the numerator and denominator and reducing to lowest terms.

Triangle JKL and triangle PQR are shown above. If ∠J is congruent to ∠P, which of the following must be true in order to prove that triangles JKL and PQR are congruent? A. ∠L ≅ ∠R and JL = PR B. KL = QR and PR = JL C. JK = PQ and KL = QR D. ∠K ≅ ∠Q and ∠L ≅ ∠R

Which trinomial is equivalent to 3(x−2)2−2(x−1)?

What is the difference between $y-\hat{y}$ and $\hat{y}-\bar{y}$ ?

Why does a horizontal line have a slope of 0, but a vertical line has an undefined slope?

Which of these shapes is a rectangle but not a square? Choose all answers that apply:

Convert as indicated: 72 oz to ____ lb ____ oz Part 1 ____ lb ____ oz

Convert 5 3/4 to a decimal. Round to the nearest tenth. 5.75 5.7 5.8 6

What is the result of converting 8 gallons to quarts? Remember, there are 4 quarts in a gallon. A. 16 quarts B. 4 quarts C. 2 quarts D. 32 quarts

Which property is illustrated by the following statement? A. transitive B. associative C. reflexive D. symmetric

# Instructions: Select the correct answer. ## Which number is a rational number? $2.6457513110 \ldots$ 0 17.156 $\sqrt{85}$

Triangle 1 has an angle that measures 62° and an angle that measures 14°. Triangle 2 has an angle that measures 14° and an angle that measures x°, where x ≠ 62°. Based on the information, Bob claims that triangle 1 and triangle 2 cannot be similar. What value of x, in degrees, will refute Bob’s claim?

Find the diameter of a circle with an area of 12.6 square inches. Round your answer to the nearest hundredth.

Solve 3x2 = 6x by rewriting the equation. Show your reasoning.

# Multiple Choice: Please select the best answer and click "submit." Which property is illustrated by the following statement? $\triangle \mathrm{JAR} \cong \triangle \mathrm{JAR}$ O A. Associative O B. Symmetric O C. Reflexive O D. Transitive

# Which number is rational and integer? A. There is no such number. O B. -5 C. $\sqrt{2}$ D. $\frac{5}{7}$

Provide the first 12 digits of π and determine their mode and median.

Solve for x. 20x=10

What is 1/8 ​× 5 expressed as a fraction in its simplest form? A. 1/10 B. 5/8 C. 5/40 D. 5/8

If 9x=18, what is the value of x?

What is the difference between 6x and x6?

Explain why it is not possible to draw a square that is not a parallelogram.

Based on what you know about rotations, what do you think the mapping rule is for a rotation of 270 degrees clockwise? Explain.