Answer:
4/5=16/20
Step-by-step explanation:
because
4x4
Answer:
16
Step-by-step explanation:
20 divided by 5 is 4.
This means both numbers on the left side must be multiplied by 4 to get the right side.
4 times 4 is 16.
A middle school mathematics teacher accepts a teaching position that pays $40,000 per year. Each year, the expected raise is $2000. How much total money will
this teacher earn teaching middle school mathematics over the first years?
Answer:
$42000Step-by-step explanation:
step one:
Given that the initial salary is $40,000
each year and the expected pay rise is $2000 each year
step two:
We can calculate her expected earnings at the end of the year to be
= salary +expected pay rise
=$40000+$2000
= $42000
Hence at the end of the year, she will earn a total of $42000On a coordinate plane, a line goes through (0, negative 1) and (3, 1). A point is at (negative 3, 0).
What is the equation of the line that is parallel to the given line and has an x-intercept of –3?
y = Two-thirdsx + 3
y = Two-thirdsx + 2
y = Negative three-halvesx + 3
y = –Three-halvesx +
Answer:
its the 3rd one
Step-by-step explanation:
i did it on end 2020
Answer:
C
Step-by-step explanation:
PLEASEEE HURRYYY
find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is the radius.
[tex](x-(-2))^2+(y-(-4))^2=(5)^2[/tex]
[tex](x+2)^2+(y+2)^2=25[/tex]
Now, put x=2.
[tex](2+2)^2+(y+2)^2=25[/tex]
[tex](4)^2+(y+2)^2=25[/tex]
[tex](y+2)^2=25-16[/tex]
[tex](y+2)^2=9[/tex]
Taking square root on both sides.
[tex]y+2=\pm\sqrt{9}[/tex]
[tex]y+2=\pm3[/tex]
[tex]y+2=-3\text{ or }y+2=3[/tex]
[tex]y=-5\text{ or }y=1[/tex]
So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
1. What is the slope of the line that passes through the given points?
(2, 12) and (6, 11)
Answer:
Slope = -1/4
Step-by-step explanation:
(x1,y1) = (2,12)
(x2,y2) = (6,11)
Slope = y2-y1/(x2-x1)
11-12/6-2= -1/4
There are 50 campers at a daycamp and 10 counselors write the ratio of campers to counselors as a fraction explain how to use equivalent fractions to write a related rate and unit wait what does the unit 830
Given that there are 50 campers at day camp and 10 counselors.
The ratio of campers to counselors as a fraction is given by .
Using equivalent fractions we have .
Thus, the related rate and unit rate to the ratio of campers to counselors is given by .
The unit rate indicates that for every counselor, there are 5 campers.
Your welcome :3
Adam’s bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:
Transaction
Cost ($)
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84
Adam is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Adam afford this?
a.
Yes, he can make the purchase and still have money left over.
b.
Yes, but doing so will clear out his account.
c.
No, purchasing that would overdraw his account.
d.
No, he is overdrawn already.
Answer: B. Yes, but doing so will clear out his account.
Step-by-step explanation:
I just took a test and answered it correct.
Since Adam’s bank account has a balance of $1213.69 before he starts spending money. So, option b.Yes, but doing so will clear out his account.
Calculation of the amount:Since
Adam’s bank account has a balance of $1213.69 before he starts spending money.
The total of transactions should be like
= $260.16 + $97.98 + $75 + $115.35 + $68.53 + $331.84
= $948.85
Now the balance amount is
= $1,213.69 - $948.85
= $264.84
Based on this, we can say that the option b is correct.
learn more about amount here: https://brainly.com/question/24338143
This number is in scientific notation.
2.4 x 104
Convert the number into standard notation. What is the value?
2.4 x 10-4 =
Answer:
24
0.00024
hope it helps;)
Answer:
0.00024
Step-by-step explanation:
find the measure of the angle indicated by 7x+12
Answer:
61°
Step-by-step explanation:
7x + 12 and 17x are same- side interior angles and are supplementary. thus
7x + 12 + 17x = 180. that is
24x + 12 = 180 ( subtract 12 from both sides )
24x = 168 ( divide both sides by 24 )
x = 7
Thus
7x + 12 = 7(7) + 12 = 49 + 12 = 61°
The container that holds the water for the football team is
1/10 full.
After pouring in 12 gallons of water, it is 1/2 full.
How many gallons can the
container hold.
Answer:
30 Gallons
Step-by-step explanation:
Okay so you need to start by making an equation for yourself. Since the container starts at 1/10 of the total, you want to start by saying 1/10x. Then you add 12 gallons of water to make it half full. So 1/10x + 12 = 1/2x where x is the total amount that can fit in the container.
1/10x + 12 = 1/2x (Move your x's to the same side.)
12 = 1/2x - 1/10x (Find a common denominator.)
12 = 5/10x - 1/10x (Simplify/)
12 = 4/10x (Multiply both sides by 10; your demoninator)
120 = 4x (Divide)
x = 30
Your container holds 30 gallons.
To play a game on a game board, Drew puts his game piece on START. On his first turn, he moves his game piece ahead 7 spaces. On his second turn, Drew moves his game piece back 4 spaces how many spaces away from START is his game piece now? Write an expression for the situation, then solve.. PLEASE HELP ME.
Answer:
3 spaces away from start
Step-by-step explanation
7 spaces forward
4 spaces back
7 minus 4 = 3
complete the sentence. the midpoint btween 2 and 10 is
Answer:
6
Step-by-step explanation:
Ned wants to buy a car that costs $22,000. He has $12,500 saved. How much more does he need?
Answer:
$9,500
Step-by-step explanation:
$9,500. Answer is found by subtracting the amount that he already has by the amount he must have in the end.
Given the function f(x)=4|x-5|+3 for what values of x is f(x)=15
Answer:
{2, 8}
Step-by-step explanation:
We want to find x for ...
15 = 4|x -5| +3
12 = 4|x -5| . . . . subtract 3
3 = |x -5| . . . . . . divide by 4
±3 = x -5 . . . . . . show the meaning of absolute value
5 ±3 = x = {2, 8} . . . . . add 5
The values of x for which f(x) = 15 are 2 and 8.
A coordinate grid is placed over a map. City A is located at (19,22). City B is located at (-7,-2). If City C is halfway between City A and City B, Where is City C located? What is the distance between City A and City C? (Round to the nearest tenth)
Answer:
City C location: (6,10)
Distance between City A and City C: √313 or 17.69
Step-by-step explanation:
Use midpoint formula: (x2 + x1)/2, (y2 + y1)/2
Plug in the numbers, this gives you (6,10)
Use distance formula to find distance between City A and City C.
√(x2−x1)^2+(y2−y1)^2
Plug in the numbers, this gives you √313 which is also 17.69
One metre of material costs Rx. Write an expression to show that 8 metres cost R116.
Answer:
8x = R116
x = R14.5
Step-by-step explanation:
1 metre costs = x
8 metres cost = 8x
8x = 116 is the required equationx = 116/8x = 14.5Answer is: R14.5
HELP
Determine whether the relation is a function
y=2w=2
Answer:
Hi there!
I might be able to help you!
It is NOT a function.
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function. X = y2 would be a sideways parabola and therefore not a function. Good test for function: Vertical Line test. If a vertical line passes through two points on the graph of a relation, it is not a function. A relation which is not a function. The x-intercept of a function is calculated by substituting the value of f(x) as zero. Similarly, the y-intercept of a function is calculated by substituting the value of x as zero. The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope.
A relation that is not a function
As we can see duplication in X-values with different y-values, then this relation is not a function.
A relation that is a function
As every value of X is different and is associated with only one value of y, this relation is a function.
Step-by-step explanation:
It's up there!
God bless you!
Write 4.81 as a mixed number in simplest form.
Answer:
Step-by-step explanation:
4.81
[tex]=\frac{ 481}{100} \\=4\frac{81}{100}[/tex]
Answer:
4 [tex]\frac{81}{100}[/tex]
Step-by-step explanation:
A mixed number is a combination of a whole number with a fraction. To make the fraction part, we need to take the decimal. In this case, the decimal is .81
.81 is equivalent to 81/100
81/100 is already in its simplest from since 81 is not divisible by 2
The final answer is 4 [tex]\frac{81}{100}[/tex]
I need to find the rule for x and y
hey guys can u guys plz put this in ascending order: 0.8 0.88 86% 21/25 ( the 21/25 is a fraction)
Answer:
im pretty sure ascendeing means going up so thats how im going to put it. from lowest to highest.
Step-by-step explanation:
0.8, 0.84 (0.84 is also 21/25) then there is 0.88 then there is 86.
hope this helps
Find the number that makes the ratio equivalent to 1:3. 12 : ?
Answer:
36
Step-by-step explanation:
Since 12 is the first number in the next ratio, multiply it by each number in the first ratio-
1*12=12
3*12=36
Answer= 12:36
Hope this helped
find the derivative of y=cos^2(5x^3-2x)
Step-by-step explanation:
Use power rule and chain rule.
y = cos²(5x³ − 2x)
dy/dx = 2 cos(5x³ − 2x) (-sin(5x³ − 2x)) (15x² − 2)
dy/dx = 2 cos(5x³ − 2x) sin(5x³ − 2x) (2 − 15x²)
Use double angle formula to simplify:
dy/dx = sin(10x³ − 4x) (2 − 15x²)
plzz help if you can.. i'm confused
Answer: A
Step-by-step explanation:
If you look at the line segment, it states that EG is 12. Now, we add EF and FG to get the value of x.
6x-8+2(x+2)=12 [distribute]
6x-8+2x+4=12 [combine like terms]
8x-4=12 [add both sides by 4]
8x=16 [divide both sides by 8]
x=2
Now, we know that A is the correct answer.
Answer: The answer is A.
Step-by-step explanation:
Can someone help me with number 23?
Answer:
See explanation
Step-by-step explanation:
It is impossible to take the square root of a negative number. Try any value, nothing works. [tex]2^2 = 4[/tex], and [tex]-2^2 = 4[/tex]. It just doesn't work. This is why there is no real number that satisfies [tex]\sqrt{-4}[/tex] (however it is represented as [tex]2i[/tex], i being "the imaginary number" that mathematicians made up to represent it).
When we are finding the cube root of a number, we are looking for a number that when multiplied by itself 3 times, will equal the number.
This is different than squared. Any number, positive or negative, squared will be positive. However, we can test out values and see we can end up with a negative when cubing.
For example: [tex]5^3 = 5\cdot 5\cdot 5 = 125[/tex]
HOWEVER:
[tex]-5^3 = -5 \cdot -5 \cdot -5 = -125[/tex]
We know that [tex]2^3 = 8[/tex], this means that [tex]-2^3 = -8[/tex] (as [tex]-2 \cdot -2 \cdot -2 = -8[/tex])
Hope this helped!
Helppp!!! Louis donated money to what he believed to be a reputable charity. He later
discovered it was a scam. What action should he take to seek retribution?
Report the incident to the Federal Trade Commission.
File a complaint with the Federal Bureau of Investigation.
Post bad reviews on social media.
Call the local police department.
Answer:
Report the incident to the federal trade commission
The action he should take to seek retribution is to report the incident to the Federal Trade Commission, the correct option is A.
What is the work of Federal Trade Commission?The Federal Trade Commission is an Independent entity, its main goal is the enforcement of civil law and protection of consumer rights.
Louis donated money to what he believed to be a reputable charity. He later discovered it was a scam.
He should seek help from Federal Trade Commission.
To know more about Federal Trade Commission
https://brainly.com/question/891256
#SPJ2
Josefina originally had $550 in her checking account. After withdrawing $100 each week, Josefina has a new balance of $50. Which best represents w, the number of weeks Josefina withdrew money from her checking account?
A. 550 - 100w = 50
B. 550 + 100w = 50
C. 50 + 100w = 550
D. 50 - 100w = 550
If Chang jogs one lap around the inside track, how far does he jog
Answer:
836 m
Step-by-step explanation:
Given that the tracks are similar, therefore, the ratio of the lenght of all corresponding sides of the inside track to the outside track are equal, and have the same scale factor.
Only 1 side of the inside track is given as 395 m. It corresponds to the side of the outside that measures 553 m. Therefore:
scale factor = 395:553 = [tex] \frac{395}{553} = 0.7 [/tex]
Find the remaining two sides of the insider tracks by multiplying the lenght of the side of the outside tracks that corresponds to each by the scale factor.
Thus:
280*0.7 = 196 m
350*0.7 = 245 m
The remaining 2 side lengths of the inside tracks are 196 m and 245 m.
If Chang completes 1 lap around the inside tracks, he would have gone: 395 + 196 + 245 = 836 m.
Answer: D. 1277
Step-by-step explanation:
First you divide 553 by 395 : 553/395=1.4
Now that you have 1.4 , you multiply that times both 350 and 280.
280 • 1.4=392
350 • 1.4=490
Add up all the sides: 395+392+490=1277
how many planes of symmetry does a rectangular pyramid has?
Answer:
6
Step-by-step explanation:
Evaluate g(-4) when g(b)
=
- 4(12.5b - 2)
Can someone help please?
PLEASE answer ASAP. THANK YOU
Answer:
< and [tex]\leq[/tex] and [tex]\neq[/tex]
Step-by-step explanation:
-7 is less than -4
-7 is less than -4, so less than or equal to works too. Because it is or, it works in this scenario.
-7 is also not equal to -4
Answer <
Step-by-step explanation:
Closer to zero
–8 ÷ 2 = Can you help me plzz.
Answer:
-4
Step-by-step explanation:
so a minus divided by a plus is a minus so -8÷2 is -4.