Answer:
21 dvds
Step-by-step explanation:
Set up a proportion in terms of DVDs to weeks and solve.
3/2 = x/14
(2)(x) = (3)(14)
2x = 42
x = 21
Therefore, Katy will buy 21 DVDs in 14 weeks.
Suppose △DEF≅△MNO. Which congruency statement is true?
EF¯¯¯¯¯≅MN¯¯¯¯¯¯¯DE¯¯¯¯¯≅MN¯¯¯¯¯¯¯DF¯¯¯¯¯≅NO¯¯¯¯¯¯EF¯¯¯¯¯≅MO¯¯¯¯¯¯
Answer:
DE≅MN
Step-by-step explanation:
We know that corresponding parts of congruent triangles are congruent (CPCTC). Using the congruence statement we can match up the corresponding sides.
From the statement, ∠D matches ∠M, ∠E matches ∠N, and ∠F matches ∠O.
We also see that DE matches MN, EF matches NO, and DF matches MO.
Thus we have that DE≅MN.
HELP NEEDED
Which system of linear inequalities is graphed? See screenshot!
what is the union of the two sets R= {10, 11, 13, 15, 17} T= {5, 7}?
If ABC XYZ, mA = 50°, and mY = 70°, find mC
Final answer:
Using the properties of congruent triangles and the fact that the sum of the angles in a triangle is 180°, the measure of angle C (mC) is found to be 60°.
Explanation:
Given that triangle ABC is congruent to triangle XYZ, we know that corresponding angles of congruent triangles are equal. Since the measure of angle A (mA) is given as 50°, and in triangle XYZ, the measure of angle Y (mY) is 70°, we can use the fact that the sum of the angles in a triangle is 180° to find the measure of angle C (mC).
The sum of the angles in triangle ABC would be:
mA + mB + mC = 180°
50° + mB + mC = 180°
Since triangle ABC is congruent to triangle XYZ, mB will be equal to mX, which is the same as mY, that is 70°:
50° + 70° + mC = 180°
Now, we just need to subtract the sum of mA and mB from 180° to find mC:
mC = 180° - (50° + 70°)
mC = 180° - 120°
mC = 60°
Erica has found a pair of running sneakers that she likes, costing $150. She has saved $31 already, and she has a job where she earns $8.50 per hour. How many hours will she have to work in order to afford the sneakers?
B) 18
C) 22
D) 14
If x + b > c and x > 0 have the same solutions, what is the relationship between b and c
An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples and 15 cups of flour. When you sell these at the farmers market you make $3.00 profit per apple pie and $2.00 profit per apple cobbler. Use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize your profit.
1. let ×= the number of apple pies you make and y= the number of apple cobblers you make. Write an inequality to show the constraint on the amount of apples you have?
2. Write an inequality to show the constraint on the amount of flour you have .
3. Write any non negativity contraints on x and y
to find the weight of the golden 22 karat gold object
Select Repeating or Nonrepeating to correctly classify each decimal. 1.01011 2.23¯¯ 3.426¯ 4.321321… the minus signs mean like a line over the number
Answer:
2.23 3.426 4.32321... are repeating and 1.01011 is not repeating
The decimal 1.01011 is a non-repeating decimal. For the others, 2.23, 3.426, and 4.321321... are all repeating decimals because they have digits or group of digits that repeat indefinitely.
Explanation:In mathematics, decimals are either repeating or nonrepeating. A repeating decimal is a decimal that has a digit or group of digits that repeats infinitely. A non-repeating decimal doesn't have a pattern of digits that repeats infinitely.
The decimal 1.01011 is non-repeating because there's no group of digits that repeats infinitely. The decimal 2.23¯¯ is a repeating decimal. The notation with two bars above the 23 indicates that 23 is the repeating part. The decimal 3.426¯ is also a repeating decimal. The bar above the 6 indicates that the digit 6 repeats indefinitely. Lastly, the decimal 4.321321... is a repeating decimal where the group of digits 321 repeats infinitely.Learn more about Repeating and Non-Repeating Decimals here:
https://brainly.com/question/11597268
#SPJ11
Susan divides the fraction 5/8 by 1/16 . Her friend Robyn divides 5/8 by 1/32 predict which person will get the greater quotient . Explain and check your prediction
Answer:
Robyn will get the greater quotient
Step-by-step explanation:
Prediction: Since 1/16 >1/32
So, it will prove the smaller quotient
Susan divides the fraction 5/8 by 1/16 .
Calculation : [tex]\frac{5}{8} \div \frac{1}{16}[/tex]
[tex]\frac{\frac{5}{8}}{\frac{1}{16}}[/tex]
[tex]\frac{5}{8} \times 16[/tex]
[tex]10[/tex]
Robyn divides 5/8 by 1/32
Calculation : [tex]\frac{5}{8} \div \frac{1}{32}[/tex]
[tex]\frac{\frac{5}{8}}{\frac{1}{32}}[/tex]
[tex]\frac{5}{8} \times 32[/tex]
[tex]20[/tex]
So, The prediction is true.
Robyn will get the greater quotient
A culture of 2.4×1011 bacteria is in petri dish A. A culture of 8×109 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B? Enter your answer, in standard notation, in the box.
The number of bacteria's in petri dish 'A' are 30 times more than the bacteria's in petri dish 'B'.
What is bacteria?Bacteria are small single-celled organisms. Bacteria are found almost everywhere on Earth and are vital to the planet's ecosystems.
Given is a culture of 2.4 × 10¹¹ bacteria is in petri dish 'A' and a culture of
8 × 10⁹ bacteria is in petri dish B.
Number of bacteria's in petri dish A = n[A] = 2.4 × 10¹¹ bacteria
Number of bacteria's in petri dish B = n[B] = 8 × 10⁹ bacteria
For comparison, lets assume that -
k = n[A]/n[B]
k = 2.4 × 10¹¹ / 8 × 10⁹
k = 240 / 8
k = 30
n[A] = 30 n[B]
Therefore, the number of bacteria's in petri dish 'A' are 30 times more than the bacteria's in petri dish 'B'.
To solve more questions on Number comparison, visit the link below-
https://brainly.com/question/6458715
#SPJ2
Which of the following is a solution of x2 − 6x = –22?
A. -6-i√52
B. -6+i√13
C. 3-i√13
D. -3+i√52
1. State the domain of the rational function. (2 points)
f(x) = thirteen divided by quantity ten minus x.
a) All real numbers except -10 and 10
b) All real numbers except 13
c) All real numbers except 10
d) All real numbers except -13 and 13
2. State the vertical asymptote of the rational function. (2 points)
f(x) = quantity x minus six times quantity x plus six divided by quantity x squared minus nine.
a) x = 6, x = -6
b) x = 3, x = -3
c) x = -6, x = 6
d) None
3. State the horizontal asymptote of the rational function. (2 points)
f(x) = quantity x squared plus four x minus seven divided by quantity x minus seven.
a) None
b) y = -4
c) y = 7
d) y = 6
4. State the horizontal asymptote of the rational function. (2 points)
f(x) = quantity x squared plus eight x minus two divided by quantity x minus two.
a) None
b) y = 1
c) y = -8
d) y = 2
5. Give an example of a rational function that has a horizontal asymptote at y = 0 and a vertical asymptote at
x = 2 and x = 1.
f(x) = 13 / (10-x)
The only x value that would not produce a real number for f(x) is 10, since you
cannot divide a number by zero. Answer is C
2)
F(x)
=(x-6)(x+6)/(x2 - 9)
The vertical asymptotes are x=3 and x=-3. Graph the function on a graphing
calculator to observe the behavior of the function at these points. There is
both a positive and negative vertical asymptote a both x=3 and x=-3. Keep in
mind that the denominator approaches zero at these points, and thus f(x) approaches
either positive or negative infinite, depending on whether the denominator, however small, is a positive or
negative number. Answer is B) 3, -3
3)
F(x) = (x2
+ 4x-7) / (x-7)
Although there is a vertical asymptote as x=7, there is no horizontal asymptote.
This makes sense. As X gets bigger, there is nothing to hold y back from
getting greater and greater. X2 is the dominant term, and it’s only
in the numerator. A) none
4)
(x2 +
8x -2) / (x-2)
This function is very similar in structure to the previous one. Same rules
apply. Dominant term only in the numerator means no horizontal asymptote.
A)None
5)
Our
function approaches 0 as x approaches infinite, and has a vertical asymptote at
x=2 and x=1.
Here’s an easy example: 10 / ((x-2)*(x-1)). At x=2 and x=1, there is both a
positive and negative vertical asymptote. As x approaches infinite, the
numerator is dominated by the denominator, which contains x (actually x2 ),
and thus y approaches zero.
What is the maximum product of two numbers whose sum is 13? what numbers yield this product?
BRAINLIEST!!!!
8. Find the glide reflection image of the black triangle where the translation is (x,y) -> (x,y - 7) and the line of reflection is x = 1.
Am I correct?
Answer:
Option D is correct.
Explanation:
From the given figure,
Labelled the black triangle as A, B and C
The coordinates of triangle ABC are;
A= (2,8) , B= (2,5) and C=(6,5)
To find the glide reflection image of the triangle ABC.
Glide Reflection: It is a composition of transformations.
In glide reflection, a translation is first performed on the figure then it is reflected over a line.
Given: The rule of translation is: [tex](x,y) \rightarrow (x, y-7)[/tex] and line of reflection is x= 1.
Now, apply the rule of translation on black triangle, we get;
[tex]A (2,8) \rightarrow (2, 8-7)[/tex] = A' (2,1)
[tex]B (2,5) \rightarrow (2, 5-7)[/tex] =B' (2,-2)
[tex]C (6,5) \rightarrow (6, 5-7)[/tex] = C' (6,-2)
Next,
Apply the rule of reflection over the line x =1,
i.e, [tex](x,y) \rightarrow (-x+2, y)[/tex]
[tex]A' (2,1) \rightarrow (-2+2, 1)[/tex] =A" (0,1)
[tex]B' (2,-2) \rightarrow (-2+2, -2)[/tex] =B" (0,-2) and
[tex]C' (6,-2) \rightarrow (-6+2, -2)[/tex] =C" (-4,-2)
You can see the graph of Glide reflection as shown below in the attachment.
H E L P PLEASE COME ON WHY WONT ANYONE HELP
Corey deposited $1,500 in a savings account that earns simple interest at 5.75%. What is the balance in his account at the beginning of the third quarter?
A. $1,556.78
B. $1,528.13
C. $1,543.13
D. $1,612.50
Please explain your answer CLEARLY so i can use the principles for future reference. Thanks!
How are hourly and salaried gross pay calculated?
Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is $18,000. He makes 4% commission on all of his sales. Mr. Gonzalez wants to earn $60,000 this year. If his earnings are divided evenly throughout the year, how much in monthly sales would Mr. Gonzalez need to have?
a.
$37,500
b.
$87,500
c.
$100,000
d.
$125,000
In order for Mr. Gonzalez to reach his goal of $60,000, if his base salary is $18,000 and he earns a 4% commission on sales, he would need to make about $87,500 in sales per month.
Explanation:In this question, Mr. Gonzalez has a base salary of $18,000 and wishes to earn a total of $60,000 for the year. This means he needs to earn an additional $42,000 ($60,000 - $18,000) from sales commission.
The commission rate is 4%, which means for every $100 he sells, he earns $4. Therefore, to find out how much he needs to sell to make the required commission, we require to divide the target commission by the commission percentage.
Therefore, he will need to sell $42,000 / 0.04 = $1,050,000 for the whole year. If this is divided evenly over the year for monthly targets, then it would be $1,050,000 / 12 (months), which results in approximately $87,500 per month.
So, the correct answer option should be b. $87,500 per month.
Learn more about Commission Calculations here:https://brainly.com/question/36588970
#SPJ2
In a 10 x 10 grid that represents 800, one square represents
2. The coordinates of the vertices of are P(-2,5), Q(-1,1) and R(7,3) . Determine whether PQR is a right triangle. Show your work.
6+ 4/a + b/3 a=4 b=3
A round cookie cake, divided into 8 equal pieces, has a diameter of 16 inches. Marty eats one piece of cake. What is the area of the piece of cake that Marty eats? Leave your answer in terms of pi. A)4π in2 B) 8π in2 C)16π in2 D) 64π in2
Answer:
8
Step-by-step explanation:
The perimeter of an isosceles triangle is 15.6m. Find the lengths of its sides, if: The base is 3m smaller than a leg ____m, ___m, _____m
we know that
An isosceles triangle is a triangle with two equal sides and two equal angles
Let
x-------> the length of the equal sides
y-----> the length of the base
[tex]y=x-3[/tex] -----> equation A
The perimeter of an isosceles triangle is equal to
[tex]P=2x+y[/tex]
[tex]P=15.6\ m[/tex]
so
[tex]15.6=2x+y[/tex] ------> equation B
substitute equation A in equation B
[tex]15.6=2x+[x-3][/tex]
[tex]15.6=3x-3[/tex]
[tex]3x=18.6[/tex]
[tex]x=6.2\ m[/tex]
Find the value of y
[tex]y=x-3[/tex]
[tex]y=6.2-3=3.2\ m[/tex]
therefore
the answer is
The dimensions of the triangle are
[tex]leg1=6.2\ m[/tex]
[tex]leg2=6.2\ m[/tex]
[tex]base=3.2\ m[/tex]
Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?
(-1, ___)
-4
0
1
5
PLZ HELP ASAP
The substitution property of equality allows you to say that if 7j + 14k = 28 And j = 2 then
What is the product of −2 1/4 and 2 1/2?
product means multiply
-2 1/4 times 2 1/2:
-2 1/4 = -9/4
2 1/2 = 5/2
-9/4 x 5/2 = -45/8 = -5 5/8
The bedroom of a house is 1,200 cubic meters. We know that there are 3.4 x 109 particles of dust per cubic meter. How many particles of dust are present in the bedroom of the house
To find the number of dust particles in a 1200 cubic meter bedroom with 3.4 x 10⁹ particles per cubic meter, multiply the volume by the number of particles per volume, resulting in approximately 4.08 trillion dust particles.
To calculate the number of dust particles in the bedroom, we need to multiply the volume of the bedroom by the number of dust particles per cubic meter. Given that the bedroom is 1200 cubic meters and that there are 3.4 x 10⁹ particles of dust per cubic meter, we can use the following calculation:
Number of particles = Volume of the bedroom x Number of particles per cubic meter
Number of particles = 1200 m³ x 3.4 x 10⁹ particles/m3
Number of particles = 4.08 x 10¹² particles
Therefore, there are approximately 4.08 trillion dust particles in the bedroom of the house.
What is the value of the expression when n=3?
–2n(5 + n – 8 – 3n)
When n=3, the value of the expression is 54.
Explanation:To find the value of the expression when n=3, we substitute n=3 into the expression: –2n(5 + n – 8 – 3n).
First, we simplify the expression:
–2n(5 + n – 8 – 3n) = –2(3)(5 + 3 – 8 – 3(3))
= –2(3)(5 + 3 – 8 – 9)
= –2(3)(-9)
= –2(-27)
= 54.
Therefore, when n=3, the value of the expression is 54.
What is the measure of a base angle of an isosceles triangle if the measure of the vertex angle is 42 and the two congruent sides each measure 21 units?
Answer:
69 degrees
Step-by-step explanation:
Erica had 6 coins in her coin collection. she goes to a coin show and buys some coins. how many dose she have now?