Answer: The newspaper has 2500 readers.
Step-by-step explanation:
Given: The local newspaper has letters to the editor from 50 people.
This is the 2% of all newspaper readers.
Let x be the number of all newspaper readers.
Then. 2% of x= 50
[tex]\Rightarrow\ 0.02x=50\ \ [\text{To remove }\% \text{we divide number by 100}]\\\\\Rightarrow\ x=\dfrac{50}{0.02}=\dfrac{5000}{2}=2500\\\\\Rightarrow x=2500[/tex]
Hence, the newspaper has 2500 readers.
A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x
Using reflection concepts, it is found that the correct option is:
a reflection of the point across the y-axis---------------
The rule for a reflection of a point across the x-axis is: [tex](x,y) \rightarrow (x,-y)[/tex], thus [tex](0,k) \rightarrow (0,-k)[/tex]The rule for a reflection of a point across the y-axis is: [tex](x,y) \rightarrow (-x,y)[/tex], thus [tex](0,k) \rightarrow (-0,k) = (0,k)[/tex]. This is the correct option.The rule for a reflection of a point across the line y = x is: [tex](x,y) \rightarrow (y,x)[/tex], and thus, [tex](0,k) \rightarrow (k,0)[/tex].The rule for a reflection of a point across the line y = -x is: [tex](x,y) \rightarrow (-y,x)[/tex], and thus, [tex](0,k) \rightarrow (-k,0)[/tex].A similar problem is given at https://brainly.com/question/15196246
Answer:
b
Step-by-step explanation:
what percent is 30 of 20
Answer:
1.5
Step-by-step explanation:
Lmk if i need to explain!
Tyrell is bringing food to a community picnic. He expects 105 people to attend the picnic. He brings 4 cups of potato salad for every 7 people and 5 hot dogs for every 3 people. Select True or False for each statement. True False Tyrell brings 35 hot dogs. O True False Tyrell brings 60 cups of potato salad. The ratio of hot dogs to cups of potato salad that Tyrell brings to the picnic can be written 5:4. the ratio of cups of potato salad too hot dogs at Tyrell brings to the picnic can be written as 12:35
Answer:
1. false
2.true
3.false
4. true
Step-by-step explanation:
4. Which r - value suggests a strong
positive correlation?
r= 0.1847
r= -0.1847
r= 0.9974
r= -0.9974
Answer:
It would be r= 0.9974.
The closer the r value is to 1 or -1 the stronger it is.
Positive and negative are just determining what "side" its on.
Let me know if this helps!
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. Find your savings account balance on January 1 of the next year.
and
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. How much interest did you earn for these nine months?
Answer:
The interest earned in 9 months is $25.45284
Step-by-step explanation:
The interest rate given by the bank = 4%
The rate at which the interest is applied = Quarterly
The amount of money deposited = $840
The formula for compound interest is given as follows;
[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]
Where;
P = The principal = $840
r = The rate = 4% = 0.04
n = The number of times the interest is compounded per period = quarterly = 4
t = The time duration in period = 9 months = 3/4 × 1 year
Substituting the values gives the Compound interest C.I. as follows;
[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]
The interest earned in 9 months = $25.45284.
7. What is the area of the shaded region?
5.6 cm
6.4 cm
5.8 cm
1.2 cm
0.8 cm
What is the answer for both?
Answer:
What is the question from both?
Answer:
(4,2) for the first one
(2,-1) for the second one
to get the answers I got, equate Both
need rn! worth 13 ~ what is the equation of the parabola? 謝謝
Answer:
Its B.
Step-by-step explanation:
Emath.com- Parabola calculator
John writes the proof below to show that the sum of the angles in a triangle is equal to 180º.
Answer:
When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
Step-by-step explanation:
i did it
negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
PLEASE HELP, MARKING BRAINLIEST!!!!
What is the value of x? *Please show your work if you can.*
Answer:
I think 100..........
HELP ME LLEASE WUIZ OMG WHAT ARE THE CORDS? 30 points
Answer: -1/2 and 1/3
Step-by-step explanation:
A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the value for the width.
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is three feet more than twice it's width;
[tex] \longrightarrow [/tex] l = (2w + 3) ft
Perimeter of rectangle = 78 ft
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft
What is mZCAD?
O 80°
O 20°
O 80°
O 100°
O 110°
Answer:
The angle of CAD is 100°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so you will have to find the angle of CAB :
∠CAB + ∠ACB + ∠ABC = 180°
∠CAB + 80° + 20° = 180°
∠CAB + 100° = 180°
∠CAB = 180° - 100°
∠CAB = 80°
Next, you have to subtract it from 180° because straight line have a degree of 180°
∠CAD = 180° - 80°
∠CAD = 100°
CAN SOMEONE PLZ HELP
Answer:
(x, y, z) = (2, -1, 3)
Step-by-step explanation:
I solved it using the elimination method
According to the graph, what is the constant of proportionality?
A. The waiter earns $25 an hour.
B. The waiter earns $20 an hour.
C. The waiter earns $15 an hour.
D. The waiter earns $10 an hour.
A. The waiter earns $25 an hour
Select all of the statements that are true for the given parabola
Answer: Please provide statements.
Step-by-step explanation:
Answer:
The maximum is (-1, 6).
The line of symmetry is x = -1.
Step-by-step explanation:
those two
What is the awnser to that question
Answer:
C. 2 and 5
Step-by-step explanation:
PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10
K=?
Answer:
2k⋅(3k−7)⋅(k+4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((6 • (k3)) + (2•5k2)) - 56k
STEP
2
:
Equation at the end of step
2
:
((2•3k3) + (2•5k2)) - 56k
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
6k3 + 10k2 - 56k = 2k • (3k2 + 5k - 28)
Trying to factor by splitting the middle term
4.2 Factoring 3k2 + 5k - 28
The first term is, 3k2 its coefficient is 3 .
The middle term is, +5k its coefficient is 5 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 3 • -28 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is 5 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8
-12 + 7 = -5
-7 + 12 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 12
3k2 - 7k + 12k - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (3k-7)
Add up the last 2 terms, pulling out common factors :
4 • (3k-7)
Step-5 : Add up the four terms of step 4 :
(k+4) • (3k-7)
Which is the desired factorization
Final result :
2k • (3k - 7) • (k + 4)
The Giant Anteater can eat 70,000 ants in 2 days. It’s true
Answer:
cool
Step-by-step explanation:
is this a question?
Oliver is using plywood to build the skateboard ramp shown. Three sides of the ramp are rectangles. How many square feet of plywood does Oliver need to build the ramp?
I will mark brainliest
Answer:
18
Step-by-step explanation:
−5x−4y=−8 whats the formula
Answer:
standard form
Step-by-step explanation:
standard form
Use the the image below to determine the angle type, relationship, value of x, and the missing angle measures.
Type =
Relationship =
Value of x =
Missing angle measures =
Answer:
Name: alternate exterior angles
Relationship: they are congruent. (15x + 5)° = (14x + 11)
Value of x: 6
Missing angle measures: 95°
(I will give branliest please help me)
Which linear equation represents a line that is parallel to the line drawn and includes point P?
y = 42 - 4
4x + 3y = 15
y=-30 +3.25
-3. + 4y = -5
does the ordered pair (8,48) satisfy the direct equation y=6x? explain why or why not
Answer:
i think yes the order pair of (8,48) satisfy the direct equation y=6x
Step-by-step explanation:
Which one??? I need help. Be serious please
Answer:
c
Step-by-step explanation:
10+12=22
=22^2
=484
Answer:
I believe the answer is C or D.
Step-by-step explanation:
What is the correct answer?
Answer:
C) y = 10/3x - 5
Step-by-step explanation:
Slope intercept equation is y = mx + b:
m is the slope
b is y-intercept
When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.
Example: y = [tex]\frac{10}{3} x - 5[/tex]
Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.
The ratio of red marbles to blue marbles in a bag is 2 to 3. Which of the following could be the number of red and blue marbles in the bag?
Answer:
4 red marbles and 6 blue marbles
Step-by-step explanation:
Multiply any numbers to 2 and 3 and you get another ratio.
(please i'm taking a test) A fraction is never a rational number true or false
In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, [tex]3y-8=7y-40[/tex]
[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
plz giv brainlist
Step-by-step explanation: