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For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year. The third year, he invested $1,000 more than 1/5 of the amount he invested the first year. During the same three years, Sally also invested some money at the start of every year. The first year, she invested $1,000 less than3/2 times the amount Sam invested the first year. The second year, she invested $1,500 less than 2 times the amount Sam invested the first year. The third year, she invested $1,400 more than 1/4of the amount Sam invested the first year. If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is ___$ and the amount Sally invested the last year is ___$.
General
8 months ago
A square is inscribed in a circle. If the area of the square is 9 in2, what is the ratio of the circumference of the circle to the perimeter of the square?
General
8 months ago
in diagram below De is parallel to XY what is the value of X
General
8 months ago
A rectangle is 12 feet long and 34 feet wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form. $$ ft2
General
8 months ago
You use a cone-shaped cup to drink water. The cup has a diameter of 6 centimeters and a height of 12 centimeters. What is the volume of the cup? Use 3.14 to approximate pi. Round your answer to the nearest tenth.
General
8 months ago
(Please help!!!Will give brainlest!) What is the product of 1/2x - 1/4 and 5x^2 - 2x + 6 ? Write your answer in standard form. Can someone please help me with this? I understand how to multiply polynomials and such but this ones hard for me? Please explain.
General
8 months ago
The graphs of f(x) = (2/3)^x and g(x) = (2/3)^x-2 are shown below. Which translation transformed the parent function, f(x), to g(x)?a translation right 2 unitsa translation left 2 unitsa translation up 2 unitsa translation down 2 units
General
8 months ago
The difference between a two-digit number and that number reversed is 18. What could that number be? List all possibilities.
General
8 months ago
Which of the following statements must be true about this diagram? Check all that apply. A. m<3 is greater than m<2 B. m<4 is greater than m<1C. m<4 is greater than m<2D. The degree measure of <3 equals the sum of the degree measures of <1 and <2. E. The degree measure of <4 equals the sum of the degree measures of <1 and <2. F. the degree measure of <4 equals the sum of the degree measures of <2 and <3.
General
8 months ago
You are given two pairs of triangles. For the first pair of triangles, each angle and side of one triangle is congruent to the corresponding angle and side of the other. You show that rigid motions can transform one triangle so that it matches up with the other. For the second pair of triangles, you show that rigid motions can transform one triangle so that each side or angle of one triangle matches exactly with a corresponding side or angle of the other triangle. What have you proved? a) If corresponding pairs of sides and corresponding pairs of angles of two triangles are congruent, then the triangles can be matched up exactly using rigid motions. b) If two triangles can be matched up exactly using rigid motions, then corresponding pairs of sides and corresponding pairs of angles of the triangles are congruent. c) Two triangles can be matched up exactly using rigid motions if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. d) If corresponding pairs of sides and corresponding pairs of angles of two triangles are not congruent, then the triangles are not congruent.
General
8 months ago
You are given two pairs of triangles. For the first pair of triangles, each angle and side of one triangle is congruent to the corresponding angle and side of the other. You show that rigid motions can transform one triangle so that it matches up with the other. For the second pair of triangles, you show that rigid motions can transform one triangle so that each side or angle of one triangle matches exactly with a corresponding side or angle of the other triangle. What have you proved? a) If corresponding pairs of sides and corresponding pairs of angles of two triangles are congruent, then the triangles can be matched up exactly using rigid motions. b) If two triangles can be matched up exactly using rigid motions, then corresponding pairs of sides and corresponding pairs of angles of the triangles are congruent. c) Two triangles can be matched up exactly using rigid motions if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. d) If corresponding pairs of sides and corresponding pairs of angles of two triangles are not congruent, then the triangles are not congruent.
General
8 months ago
Express the polynomial −g + 3g + 2g2 in standard form and then classify it.
General
8 months ago
The graph below plots the values of y for different values of x:plot the ordered pairs 1, 1 and 2, 4 and 3, 7 and 4, 9 and 5, 12 and 6, 16Which correlation coefficient best matches the data plotted on the graph? −0.5 0 0.25 0.90
General
8 months ago
Which of the following are exterior angles? Check all that apply. A.<2B. <4C.<3D.<1E.<5F.<6
General
8 months ago
What is the approximate length of midsegment MN? What is the approximate length of AB?A) 1.4; 2.8 B) 2.1; 4.2 C) 2.5; 3.0 D) 2.8; 1.4
General
8 months ago
Anumeha knows the following information about a set of 20 numbers: 9 numbers are a multiple of 3 but not a multiple of 4. 10 numbers in total are a multiple of 3. 10 numbers in total are a multiple of 4. Can you help Anumeha organize the results into a two-way frequency table?
General
8 months ago
An unfair coin with Pr[H] = 0.2 is flipped. If the flip results in a head, a marble is selected at random from a urn containing six red and four blue marbles. Otherwise, a marble is selected from a different urn containing three red and five blue marbles. If the selected marble selected is red, what is the probability that the flip resulted in a head?
General
8 months ago
Zeda described four triangles as shown below: Triangle P: Two angles measure 50°. Triangle Q: All sides have length 13 cm. Triangle R: Two sides have length 3 cm, and the included angle measures 60°. Triangle S: Base has length 5 cm, and base angles measure 30°. Which triangle is not a unique triangle? Triangle P Triangle Q Triangle R Triangle S
General
8 months ago
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
General
8 months ago
The figure on the left has been transformed into the one on the right. Which transformation does this show?A) (x', y') = (y, x) B) (x', y') = (x, -y) C) (x', y') = (-x, y) D) (x', y') = (-y, x)
General
8 months ago
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