John's employer increased his annual salary of $55,000 by $5,700. What percent was his raise, rounded to the nearest tenths place?
Answer:
3.64% (when rounded to the nearest hundredth)
Step-by-step explanation:
I'm assuming by 5700 you actually mean 57,000.
Calculate the percent change:
(57,000-55,000)/55,000 *100
(2000/55000)x100
0.036363x100
3.6363 rounded to the nearest hundredth is 3.64
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price,p, it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $11, while 2000 shirts can be sold at a price of $2. Give a linear equation in the form p mn + b that gives the price p they can charge for n shirts. Answer: p = Round the value of your slope to three decimal places. Be careful to use the proper variable and use the Preview button to check your syntax before you submit your answer.
The required linear equation in the form p = mn + b is y = -0.009n + 20
Linear form of a functionThe formula for calculating the linear form of a function is expressed as:
y = mx + b
From the given question
n is the number of shirts p is the priceThe price and number of shirts can be written in the form (n, p)
The two coordinates required are (1000, 11) and (2000, 2)
Slope = 2-11/2000-1000
Slope = -9/1000
Slope = -0.009
For the intercept "b"
2 = -0.009(2000) + b
b = 20
The required linear equation in the form p = mn + b is y = -0.009n + 20
Learn more on linear function here: https://brainly.com/question/15602982
solve for x : -30 < -x/4
x > 120
Step-by-step explanation:
-30 < -x / 4
-30 x 4 < -x
x > 120
Answer:
ight so first you multiply by 4 to isolate x so you get -120<-x next you divide by -1 to get the x so the answer is 120 cause a negative and a negative cancel out and turns to a positive
Step-by-step explanation:
Find the distance between the points ( -22.79, 0.76) and (-12.64, 12.02)
Answer:
Step-by-step explanation:
What is the measure of angle x?
Enter your answer in the box.
+
1470
x =
1 2 3 4 5 6 7
5.
Answer:
x=43 degrees
Step-by-step explanation:
Subtract 47 from 90 to get the angle next to 47 degrees which is 43 degrees and x is also 43 degrees because they form vertical angles with each other
Solve for y.
-3y + 7 = 34
What does y equal?
Answer:
y = -9
Step-by-step explanation:
-3y + 7 = 34
-3y = 34 - 7
-3y = 27
3y = -27
y = (-27)/3
y = -9
Answer the questions below about the quadratic function. g(x)=-2x^2+16x-31
Answer:
Hope it helps!!!Brainliest pls!!!
One of the legs of a right triangle measures 5 cm and the other leg measures 11 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
c = 12.1 cm
Step-by-step explanation:
For this question, use the Pythagorean theorem.
a^2 + b^2 = c^2
Where a and b are the triangle's legs, and c is the hypotenuse.
(It doesn't matter what values you use for each for a and b)
a = 5 cm
b = 11 cm
c = ?
5^2 + 11^2 = c^2
25 + 121 = c^2
146 = c^2
square root both sides
√146 = √c^2
c = 12.08304 cm
But we need to the neasrest tenth then....
c = 12.1 cm
DRAW a model of 1/2 ÷ 4 if i see a link im going to report
Answer:
1/8
Step-by-step explanation:
There are 6 people on the ballot for regional judges. Voters can vote for any 4. Voters can
choose to vote for 0, 1, 2, 3, or 4 judges. In how many different ways can a person vote?
A. 57
B. 5
C. 15
D. 6
Answer:
The answer is five.
Step-by-step explanation:
A person has only 5 options., as stated in the question.
0
1
2
3
4
That means that one person can vote 5 different ways.
The length of the longer leg of a right triangle is 3 m more than three times the length of the shorter leg. The length of the hypotenuse is 4 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg:
Answer:
7 m, 24 m, 25 m
Step-by-step explanation:
This problem can be solved by writing an equation expressing the given relationships and the Pythagorean theorem. Or, it can be solved by reference to common Pythagorean triples. Here, we're interested in a triple that has a difference of 1 between the hypotenuse and the longer leg. Such triples include:
{3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {9, 40, 41}, {11, 60, 61}, ...
We note that for the triple {7, 24, 25}, the longer leg is 3 more than 3 times the shorter leg: 3 +3(7) = 24.
The side lengths are:
shorter leg: 7 mlonger leg: 24 mhypotenuse: 25 m__
In case you're unfamiliar with Pythagorean triples, or you want to write the equation, you can let s represent the length of the shorter side. Then the longer side is (3s+3) and the hypotenuse is (3s+4). The Pythagorean theorem tells you the relation is ...
(3s +4)² = (3s +3)² +s²
9s² +24s +16 = 9s² +18s +9 +s²
s² -6s -7 = 0 . . . . . subtract the left side and put in standard form
(s -7)(s +1) = 0 . . . . factor
s = 7 or -1 . . . . . . solutions to the equation
The side length must be positive, so the shorter leg is 7 meters long. Then the other two legs are ...
3s +3 = 3(7) +3 = 24 . . . . meters
3s +4 = 3(7) +4 = 25 . . . . meters
The side lengths are 7 m, 24 m, and 25 m.
I really need this answer plss
Answer:
No No No No No No No No No No No No No
Write a
quadratic equation for each pair
of solutions.
√200T and - √2001
Answer:
x^2 - 2001 = 0
Step-by-step explanation:
I guess you mean √2001 and -√2001
The product of the 2 solutions = -2001 and the sum is 0.
The required equation is x^2 - 2001 = 0
The equation representa Function A and the graph represents Function B
Answer:
D) Slope of Funcation B = - Slope of Function A
Step-by-step explanation:
The equation for the line is:
y=mx+b
Where m is the slope and b is the y-intercept
In this question, we are only interested in the slope.
For function A, we can see that the equation is f(x) = -2x + 1
Going back to the equation, we can see that -2 is the slope
Now for function B, we need to find the slope by looking at the graph.
To do this, you need to remember that the slope is y/x, or rise over run. (This is saying that every time the y happens, the x also happens. For example, if the slope is 1/2, every time the line goes up 1 unit, it goes to the right 2 units)
So for the function, we can see that when you move to the right 1 unit (run), you also move up 2 units (rise), so the slope would be
2
Comparing the slope of both the functions
Function A is -2
and
Function B is 2
So the answer is D
Evaluate, show your steps tysm :)
~giving brainliest~
Answer:
-9/25
Step-by-step explanation:
-1^10 = -1
since (-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1) = -1
Anything to the power of 0 is 1 so -22^0 = 1
Now our equation is -1 + 1 -(3/5)^2
Simplifying this:
0 -9/25 =
-9/25
Answer:
in fraction: 41/25
= 1.64
Step-by-step explanation:
[tex](-1)^{10} =1[/tex]
[tex](-22)^{0} =1[/tex]
[tex](\frac{3}{5} )^{2} =\frac{9}{25}[/tex]
Then
[tex]1+1-\frac{9}{25} =2-\frac{9}{25} =\frac{50}{25} -\frac{9}{25} =\frac{41}{25}[/tex]
decimal: 1.64
Hope this helps
For each pair of real numbers show that the first number is a factor of the second number?
Need help ASAP!!
Answer:
[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]
Answer:
Putanginaaaaaaaaaaaaaaaaaaaaa
Find the value of each variable in the parallelogram.
Answer: m=35, n=110
Step-by-step explanation:
Consecutive sides have sum 180°
n+70=180n=180-70n=110And
2m+110=1802m=180-1102m=70m=35rosa makes a small flower garden outside the clubhouse the area of the garden is 852 square meters if the length of the garden is 6 meters what is the width of the garden
Answer:
142 meters.
Step-by-step explanation:
Area can be found by multiplying length*width. This means that if you have an area, but no width, you can divide the area by the length, or vice versa. To get the answer, you divide 852/6 to get 142.
If abc is an equilateral triangle bc must be 2cm true or false?
Answer:
I would say False
help step by step please!
Answer:
26 km2 (squared)
Step-by-step explanation:
Area of a triangle is H × B ÷ 2
= 6.5 × 8 ÷ 2
= 52 ÷ 2
= 26 km2 (squared)
Caden deposited $300 into a checking account. Each week he withdraws $12 from his account.
a) Write an equation to describe this sequence.
b) How many weeks can Caden go before he runs out of money?
Answer:
B i had this text and made a 100
Step-by-step explanation:
b
a recipe for 5 people calls for 1.5 kg of meat. How much meat is required if the receipe is adapted to feed 8 people
Answer:
2.4 kg
Step-by-step explanation:
1.5 divided by 5 is 0.3 and 0.3 multiplied by 8 is 2.4
1. Whats the answer for this X + 2x + 8 = X = 10 + 6
2. Whats the answer for this X + 3 + 2x = X + 10 + 3
3. Whats the answer for this 5x + 2 = 2x + 10 + 4
4. Whats the answer for this 2x + X + 4 = 4x + 1
Answer:
The first one is 11x=16, the second one is 4x=16, and the next one is 7x=12, and the last one is 3=1x hope this helps
Step-by-step explanation:
(+1) + (-5) - (+5) + (+9)
Answer:
The answer is 0
Hope that helps!
Answer: Your answer is 0-
Which set shows an average of 4?
A) A
B) B
C) A and B
D) none of the above
Answer:
B
Step-by-step explanation:
A) 1 + 1 + 1 + 1 = 4
4 / 4 = 1
B) 4 + 4 = 8
8 / 2 = 4
Answer: B
Step-by-step explanation:
please help the question is attached below
Step-by-step explanation:
a)
we have 400 people. that is 10/10 of the whole group.
7/10 of the whole group drink tea. that is
400 × 7/10 = 40 × 7 = 280
that leaves 3/10 of the whole group not drinking tea
400 × 3/10 = 40 × 3 = 120
from the 280 tea drinkers 20% drink at lay e cups of tea each day. that is
280 × 20/100 = 28 × 2 = 56
because 20 out of 100 is the meaning of 20%.
and the remaining 80% of the tea drinkers drink less then 3 cups each day.
280 × 80/100 = 28 × 8 = 224
b)
out of the 400 people 56 drink at least 3 cups of tea each day. that is
56/400 = 7/50
A straight line has gradient - 1/2 and y-intercept 3.
Write the equation of the line in the form of ax + by + c
Answer:
[tex] - \frac{1}{2} x - y + 3 = 0[/tex]
Step-by-step explanation:
as shown in drawing
if xy=2√3 the value of x^4+y^4=?
Step-by-step explanation:
wrong question or incomplete question
A nature center offers 2 guided walk. The morning walks is 2/3 miles . the evening walk is 3/6 miles. Which walk is shorter. Explain how you can use the model to find the answer
Answer:
The evening walk is shorter.
Step-by-step explanation:
There are two ways you could solve this:
Fractions:
2/3 = 4/6 4/6>3/6
Converting into Decimals:
2/3=0.67
3/6=0.5
2/3>3/6
I hope this helps.
You roll two number cubes
Let event A = You roll an even number on the first cube.
Let event B = You roll a 2 on the second cube.
Are the events independent or dependent? Why?
O A. Dependent, because both cubes have six sides.
O B. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
O C. Independent, because they have no outcomes in common.
D. Dependent, because 2 is an even number.
Answer: B: Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.
Step-by-step explanation:
Events are independent when the outcome of one does not effect the other. Rolling dice for example: If you roll an even number on your first cube, there is no way that it will effect the roll on the second cube, hence the two events are independent.