Answer and Step-by-step explanation:
First, solve for y in the second equation because that equation would be easier to solve than the first one for y.
y = 10 - 3x.
Now, plug this into the y of the first equation, and solve for x.
4x + 4(10 - 3x) = 4
Distribute the 4.
4x + 40 - 12x = 4
Combine 4x and -12x, Subtract 4 from both sides, then add -8x to both sides.
-8x + 40 = 4
36 = 8x
Divide both sides by 8.
[tex]\frac{9}{2}[/tex] (or 4.5) = x
Now, plug this in for x in the second equation to solve for y.
3 × 4.5 + y = 10
13.5 + y = 10
Subtract 13.5 from both sides.
y = -3.5
[tex]\frac{9}{2}[/tex] (or 4.5) = x
y = -3.5
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Estimate −59.2345.678 by first rounding each number to the nearest whole number.
Answer:
-59
Step-by-step explanation:
2 is the first digit right after the decimal point. The digit after it is 3, Both digits would round down, therefore meaning that the whole number would still be -59
Please help me really fast
Answer:
Step-by-step explanation:
(0,-7) is the correct one. How I got this answer is cheese.
How do you graph 3 variable lines?
Three variable lines are drawn in the three dimensional coordinate system.
What is 3 dimensional coordinate plane?
Three-dimensional coordinate system is also called rectangular coordinate system. The system has three reference axes named X, Y and Z axis which are perpendicular to each other.
The above three axes intersect at the origin.
In the analytical geometry, location of each point is represented by three coordinate system. They give mathematical statement by using three-dimensional space.
How do we graph 3 variable lines?In order to plot in the three-dimensional plane, we need to determine the value of x, y and z. At first, we start from the origin and approach to the positive x direction if our x value is positive, otherwise we need to go to the negative x direction. After identifying the x coordinate, we need to move parallel to y direction and locate the y coordinate and finally we identify the z coordinate in the same way. In the last, we will join the points.
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Select all that apply.
Which symbols could be used to make the following statement true?
-15__-19
>
<
There’s more symbols but I can’t write them
Answer:
It would be >
Step-by-step explanation:
> Means bigger than, and -15 is bigger than -19.
Think of it as a number line. On the positive spectrum,
a bigger number is bigger. On the negative side, a smaller
number is bigger.
Hope this helps!
Stefan sells Jin a bicycle for $139 and a helmet for $17 The total cost for Jin is %130 of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer: Spent $120 originally, profited by $36
Step-by-step explanation:
The total cost Stefan earned from selling the helmet and the bicycle is $139 + $17 = $156.
130% can be rewritten as [tex]\frac{130}{100}[/tex] which is simplified to 1.3.
Set up and this equation to find 130% of this price.
[tex]1.3x = 156\\x = 120[/tex]
Stefan spent $120 on these items.
Subtract this value from the selling price and solve.
[tex]156-120 = 36[/tex]
Stefan made $36 from selling the helmet and bicycle.
If lunch cost $15.70, before tip, and you left $3.14, what %
tip did you leave and what was the total cost of lunch?
Answer:
20%
$18.84
Step-by-step explanation:
3.14 is what percent of 15.70?
Use the percent-to-dollar conversion (100: 15.70) :
3.14 * 100% / 15.70 =
3.14 / 15.70 * 100% =
1/5 * 100% =
100% / 5 = 20% ==> percent tip
$15.70 + $3.14 = $18.84 ==> Total cost
Does anybody know the equation to this?
Answer:
-x^2+7
Step-by-step explanation:
I dont exactly know how to write a quadratic equation, however my TI-84 calculator can make equations from points
Mr. Wiliams brought a ice chest filled with water bottles to band practice. A model of the ice chest is shown below. What is the volume, cubic inches, of the ice chest?
Answer:
10,260 in³
Step-by-step explanation:
Please find attached an image of the chest
The ice chest is shaped like a rectangle. Thus the formula for the volume of a cuboid can be used to determine the volume of the chest
volume of a cuboid = length x width x height
18 in x 19 in x 30 in = 10,260 in³
The manager of a sporting goods store instructs her employees to greet at least 80% of customers who enter the store. Each day, approximately 250 customers visit the store. An employee decides that, to comply with the manager’s directive, he must greet at least 170 customers each day as they enter the store. The employees calculations are:
250 – 80 = 170
What are the ordered pairs of the solutions for this system of equations? f(x)=x²-2x+3; f(x)=-2x+7
The ordered pairs that defines the solutions of the system of equations f(x) = x² - 2x + 3; f(x) = -2x + 7 are
(2, 3) and (-2, 11)
What are ordered pairs?Ordered pairs refers to the arrangement of 2 numbers in the form (a, b)
As used in the cartesian coordinates
a refers to a point in the x direction b refers to a point in the y direction
Solutions of the system of equation is the points where the straight line intersect the curve or where the two graphs intersect.
the point of intersection
x² - 2x + 3 = -2x + 7
x² - 2x + 2x + 3 - 7 = 0
x² + 3 - 7 = 0
x² - 4 = 0
solving for x
x² = 4
x = √4
x = 2 OR -2
solving for y
For x = 2, y = -2 * 2 + 7 = 3
For x = -2, y = -2 * -2 + 7 = 11
hence we have the points to be (2, 3) and (-2, 11)
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A circle has a radius of 5 inches and a central angle that intercepts an arc with a length of 30 in. What is the measure, in radians, of this central angle
Answer:
∅ = 6 radians
Step-by-step explanation:
s = r ∅
s is arc length
r is radius
∅ is the central angle in radians
--------------------------------
Plug in the givens
30 = 5 ∅
Divide both sides by 5
∅ = 6 radians
(FYI : 6 radians is about 343.8º)
Use a ~ 3.14 and round your answer to the nearest hundredth.
Lelani has 64 baseball cards. This is 4 times as many baseball cards as Paul has. How many baseball cards does Paul have?
Answer:
16
Step-by-step explanation:
64 divided by 4 is 16. Paul has 16 baseball cards.
Karime walks 3/4 of a mile each day for 5 days.the number of miles karime walks altogether is between which two whole numbers?
Answer:
Step-by-step explanation:
To find the total number of miles Karime walks, we need to multiply the number of miles she walks each day by the number of days:
3/4 mile/day * 5 days = 15/4 miles
We can simplify this fraction to be:
15/4 = 3 3/4
The whole number portion of this result is 3, and the fractional portion is 3/4. Therefore, the total number of miles Karime walks is between 3 and 4.
In other words, the two whole numbers between which the total number of miles Karime walks are 3 and 4.
Total number of miles Karime walks altogether is,
⇒ 5 miles
We have to given that,
Karime walks 3/4 of a mile each day for 5 days.
Hence, To find number of miles Karime walks altogether, we can multiply 3/4 by 5.
So, We get;
Total number of miles Karime walks altogether is,
⇒ 3/4 x 5
⇒ 15 / 4
⇒ 3.75
⇒ 4 miles
Because 3.75 is nearest to 4.
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Which metric unit would be best to measure the width of a room?
Most household objects such as tables, rooms, window frames, television screens, etc. would be measured in meters. Kilometers are used to measure long distances. If you are looking to figure out the length of a road, the distance between two locations, etc, you would use kilometers.
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded.
What is the response variable in this experiment?
a. the age of each golfer
b. the 200 volunteers
c. the length of shots played by the golfers
d. whether the golfers wear or do not wear the bracelet
Answer:
I believe it is (C), the length of the golfers.
The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and theyre trying to figure out if the lengths of shots are dependent on the bracelet.
Because of this, we know A and B are already wrong.
Now we're left with C and D.
If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.
Which is why I believe, the length of the shots is the response variable.
ED2021
Goodluck :)
it is (C), the length of the golfers.
What is response variable?A response variable is a type of dependent variable. It is the one that changes the results. Furthermore, a response variable is the expected effect, and it responds to explanatory variables.
Here, we have,
The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and they are trying to figure out if the lengths of shots are dependent on the bracelet.
Because of this, we know A and B are already wrong.
Now we're left with C and D.
If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.
This is why, the length of the shots is the response variable.
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Write an equivalent expression using the distributive property: 6(x-8)
Answer: 6x-48
Step-by-step explanation:
Use the distributive property
6x-48
6x-6*8
6x-48
what is the answer to 16(5-4v)=-5-v
what is lesser than 8kg
Answer:one liter or water
Step-by-step explanation:
Answer:
7kg
Step-by-step explanation:
SOMEONE PLEASE HELP FOR A KISS
Answer:
The answer is C.
Step-by-step explanation:
Help, i got the second part but don't understand the first thanks
Answer:
hey how r u please tell me
Enter the value of the exponential expression 5º . please help
What is the interval of 0 5?
Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.
What is Interval Notation?Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
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Gas is $2. 09 per gallon at the gas station. If
Nate filled up his car and spent $33. 44, how
many gallons did he put in his car?
Nate's car was filled with 16 gallons of gas.
The concept is used in this is equations. An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. An equation is the set of variables, constants, and mathematical operations like addition, subtraction, multiplication, or division balanced by an equal sign. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc.
As gas is $2. 09 per gallon at the gas station.
$2. 09 → per gallon
and Nate filled up his car and spent $33. 44.
$33. 44 for fully filled → how many gallons ?
So,
33.44 / 2.09 = 16 gallons.
Therefore, Nate filled 16 gallons gas in his car.
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A pillow costs 30 dollars, you have a 20% coupon. How much will it cost
with the discount? *
Answer:
$24
Step-by-step explanation:
100% - 20% = 80%
Since the coupon is for 20% of the price, you will only pay the remaining 80% of the price.
80% of $30 = 0.8 * $30 = $24
Answer: $24
The sum of ages of a woman and her daughter is 46 years. In 4 years time, the ratio of their ages will be 7:2. Find their present ages?
Step-by-step explanation:
Given ,The sum of the ages of a woman and her daughter is 46 years.In 4 years time,the ratio of their ages will be 7:2.To Find : Their present ages
Solution :Consider,
Present age of woman = x yearsPresent age of Daughter = y yearsAccording to the 1st condition :-The sum of the ages of a woman and her daughter is 46 years.[tex]x + y = 46\\x = 46 -y[/tex]
According to the 2nd condition :-In 4 years time,the ratio of their ages will be 7:2.After 4 years,Age of woman = (x+4) yearsAge of daughter = (y+4) years→ (x+4) : (y +4) = 7:2
→ x+4/y+4 = 7/2
→ 46-y+4/y+4 = 7/2
→ 50-y/y+4 = 7/2
→7y +28 = 100-2y
→ 7y +2y = 100 -28
→ 9y = 72
→ y = 8
Present age of Daughter = 8 yearsNow put y = 8 in eq(1) .
→ x = 46 - y
→ x = 46 - 8
→ x = 38
Present age of woman = 38 years.Mark Me Brainliest
Given the function f (x)=2^x.What is the value of f(-3)?
Answer:
1/8
Step-by-step explanation:
[tex]f(x)=2^x\\\\f(-3)=2^{-3}\\\\f(-3)=\frac{1}{2^3}\\\\\boxed{f(-3)=\frac{1}{8}}[/tex]
Hope this helps!
Answer:
f(-3)= -8
Step-by-step explanation:
If f(x)= 2^x and x has been substituted for -3 then it means it's now 2^-3 which is going to give you
= -2 × -2 × -2
= 4 × -2
= -8
Quadrilateral BCDE is similar to quadrilateral QRSP.
171°
153°
R
57°
179°
B
E
P
S
What is the measure of angle R?
degrees
What is the correct length of the side Bc? Round to the nearest tenth and only type in one number.
Answer:
Step-by-step explanation:
I would suspect you want to know what's wrong with the work.
AC is the hypotenuse. c = AC.
It should be done this way.
c = 6 in
b = 15 in
a = ?
a^2 + c^2 = b^2
a^2 + 6^2 = 15^2
a^2 + 36 = 225
a^2 = 225 - 36
a^2 = 189
sqrt(a^2) = sqrt(189)
a = 13.75
Researchers will conduct a year-long investigation of walking and cholesterol levels in adults. They will select a random sample of 100 adults from the target population to participate as subjects in the study. (a) One aspect of the study is to record the number of miles each subject walks per day. The researchers are deciding whether to have subjects wear an activity tracker to record the data or to have subjects keep a daily journal of the miles they walk each day. Describe what bias could be introduced by keeping the daily journal instead of wearing the activity tracker.
(a) - Subjects may enter a false information or data, or mistakes can be done while entering the data.
(b) - The researcher can use the results of the study to make generalization to the entire population.
Bias
A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.
generalization
It is the tendency to respond in the same way to different but similar stimuli.
A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.
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