Answer:
(6, 4 )
Step-by-step explanation:
Given the 2 equations
9x - 2y = 46 → (1)
x + 2y = 14 → (2)
Adding the 2 equations term by term will eliminate the y- term
10x + 0 = 60
10x = 60 ( divide both sides by 10 )
x = 6
Substitute x = 6 into either of the 2 equations and solve for y
Substituting into (2)
6 + 2y = 14 ( subtract 6 from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
solution is (6, 4 )
2( 5/3 + 3/4 ) − 4/3
Answer: = 42/12 Or simply = 7/2
Step-by-step explanation:
2(5/3 + 3/4 ) − 4/3
= 2(5/3) + 2(3/4) − 4/3
= 10/3 + 6/4 - 4/3
= 6/3 + 6/4
= 24/12 + 18/12
= 42/12
Or simply = 7/2
PLEASE SOMEONE HELPPPPPPP
Answer:
12, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72.
Step-by-step explanation:
A stem and leaf plot works like a digit separator. The left is the first number, which is usually repeated, and the right is the number you add to it.
In this example, 3 is used three times for the numbers 34, 35, and 39.
Find the coordinates of the endpoint of the image?
Given:
The graph of a line segment.
The line segment AB translated by the following rule:
[tex](x,y)\to (x+4,y-3)[/tex]
To find:
The coordinates of the end points of the line segment A'B'.
Solution:
From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).
We have,
[tex](x,y)\to (x+4,y-3)[/tex]
Using this rule, we get
[tex]A(-2,-3)\to A'(-2+4,-3-3)[/tex]
[tex]A(-2,-3)\to A'(2,-6)[/tex]
Similarly,
[tex]B(4,-1)\to B'(4+4,-1-3)[/tex]
[tex]B(4,-1)\to B'(8,-4)[/tex]
Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).
help if link will report
Answer:
B
Step-by-step explanation:
Just put B
He points (2, -3) and (2,5) represent the locaons of two towns on a coordinate grid, where 1 unit is equal to 1 mile. What is the distance, in miles, between the two towns?
Answer:
Distance between the points is 8 miles.
Step-by-step explanation:
Distance between tow points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by,
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between the given points (2, -3) and (2, 5) will be,
Distance = [tex]\sqrt{(2-2)^2+(-3-5)^2}[/tex]
= 8 units
Since, 1 unit = 1 mile
Therefore, distance between these points will be 8 miles.
What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?
Answer:114.9m^3
Step-by-step explanation:
look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS
Answer:
B and E
Step-by-step explanation:
Matt bought 7 shirts for a total of $38. Tee shirts cost $5 and long sleeve shirts cost $6. How many of each type of shirt did he buy? HELP PLZ 100 POINTS
Answer:
tee shirt:4
sleeve shirt:3
Step-by-step explanation:
we are given two conditions
Matt bought 7 shirts for a total of $38Tee shirts cost 5 dollars and long sleeve shirts cost 6 dollarswe want to figure out how many each type of shirt he bought
let tee and sleeve shirts be t and s respectively
according to the first condition
[tex] \displaystyle t + s = 7[/tex]
according to the second condition
[tex] \displaystyle5t + 6s = 38[/tex]
therefore
our system of linear equation is
[tex] \displaystyle\begin{cases}t + s = 7 \\ 5t + 6s = 38 \end{cases}[/tex]
so
now we need our algebra skills to figure out t and s
to do so we can use substitution method
cancel s from both sides of the first equation:
[tex] \displaystyle t = 7 - s \: \cdots \: i[/tex]
now substitute the value of i equation to the second equation:
[tex] \displaystyle 5(7 - s) + 6s = 38[/tex]
distribute:
[tex] \displaystyle 35 - 5s+ 6s = 38[/tex]
collect like terms:
[tex] \displaystyle s + 35 = 38[/tex]
cancel 35 to both sides:
[tex] \displaystyle \therefore s = 3[/tex]
now substitute the value of s to the i equation:
[tex] \displaystyle t = 7 - 3 \\ \therefore \: t = 4[/tex]
hence,
he bought tee shirt 4 and sleeve shirt 3
Which of the following statements best describes the value of the expression 6x + 7 when x = 5?
Answer:
? is there a option?
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
6x+7
6(5)+7
37
What is equivalent ratio of 5:8:4 and explain how u got it
this is example
So, first we need to write the given ratio as fraction,
= 8/18
= (8 × 2)/(18 × 2)
= 16/36
= 16 : 36 (one equivalent ratio),
So, 16 : 36 is an equivalent ratio of 8 : 18.
Now we will find another equivalent ratio of 8 : 18 by using division.
Similarly, first we need to write the given ratio as fraction,
= 8/18
= (8 ÷ 2)/(18 ÷ 2)
= 4/9
= 4 : 9 (another equivalent ratio)
So, 4 : 9 is an equivalent ratio of 8 : 18.
Therefore, the two equivalent ratios of 8 : 18 are 16 : 36 and 4 : 9.
2. Frame two equivalent ratios of 4 : 5.
Solution:
To find two equivalent ratios of 4 : 5 we need to apply multiplication method only to get the answer in integer form.
First we need to write the given ratio as fraction,
= 4/5
= (4 × 2)/(5 × 2)
= 8/10
= 8 : 10 is one equivalent ratio,
Similarly again, we need to write the given ratio 4 : 5 as fraction to get another equivalent ratio;
= 4/5
= (4 × 3)/(5 × 3)
= 12/15 is another equivalent ratio
Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.
Note: In this question we can’t apply division method to get the answer in integer form because the G.C.F. of 4 and 5 is 1. That means, 4 and 5 cannot be divisible by any other number except 1.
The two equivalent ratios of 5:8:4 are 8: 10 and 12: 15.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts. In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
First, we need to write the given ratio as a fraction,
F= 8/18
F= (8 × 2)/(18 × 2)
F= 16/36
F= 16 : 36 (one equivalent ratio),
16: 36 is an equivalent ratio of 8: 18.
Find another equivalent ratio of 8: 18 by using division. Similarly, first, we need to write the given ratio as a fraction,
F= 8/18
F= (8 ÷ 2)/(18 ÷ 2)
F= 4/9
F= 4 : 9 (another equivalent ratio)
4: 9 is an equivalent ratio of 8: 18.
Therefore, the two equivalent ratios of 5:8:4 are 16: 36 and 4: 9.
To know more about equivalent ratio follow
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Solve the following system of equations using elimination
Answer:
Well elimination is basically multiplying a number to make it possible for it to cancel out
We can multiply the first equation by 2
2(x+2y=-1)
This would be
2x+4y=-2
Its still the same thing but just with non simplified numbers
We can now do any method really to solve
I will just do the subtraction method
2x+4y=-2
-2x+y=4
Solve
2x-2x=0
4y-y= 3y
-2-4= -6
3y= -6
Now solve
y=-2
To find x subsitute in “y” and find ”x”.
x+2*-2=-1
x-4=-1
x=3
y= -2
x= 3
Maurice ran out of gas. The gas tank in his car can hold 13.6 gallons of gas, but the gas cans only hold 3.4 gallons. How many gas cans would he need to fill his tank
Answer: 4
Step-by-step explanation: 13.6 divided by 3.4 = 136 then divide by 34 you get 34 from 3.4 but divide by 34. Once you divide 136 and 34 you get your answer 4.
When solving the equation x/5 - 12 = 10, what is your last step?
A. Multiply by 5 on each side.
B. Add 12 to each side.
C. Divide by 5 on each side.
D. Subtract 12 from each side.
+10 points!
Answer:
A multiply by 5
Step-by-step explanation:
x/5-12=10
x/5=10+12
x/5=22
multiple each side by 5
x=22*5
I will mark brainlyist! Can anyone answer and explain how to do these? Thank you!
Answer:
2) $1797
3) $152
4) $5,378
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!
Answer:
Option A
Step-by-step explanation:
You're welcome.
The depth of a river changes after a heavy rainstorm, Its depth, in feet, is modeled as a function of time, in hours. Consider this graph of the function. Enter the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18. Round your answer to the nearest tenth
Answer:
The average rate of change for the depth of the river measured as feet per hour is approximately 0.3 feet/hour
Step-by-step explanation:
The depth of the river in feet with time is given by the function with the attached
From the graph, we have;
The depth of the river at hour t = 9 is f(9) = 18 feet
The depth of the river at hour t = 18 is f(18) = 21 feet
The average rate of change, A(x), for the depth of the river measured as feet per hour is given as follows;
[tex]A(X) = \dfrac{f(b) - f(a)}{b - a}[/tex]
Therefore, for the river, we have;
[tex]A(X) = \dfrac{f(18) - f(9)}{18 - 9} = \dfrac{21 - 18}{18 -9} = \dfrac{3}{9} =\dfrac{1}{3}[/tex]
The average rate of change for the depth of the river measured as feet per hour A(X) = 1/3 feet/hour
By rounding the answer to the nearest tenth, we have;
A(X) = 0.3 feet/hour.
A boat has a depreciation rate of 12% per year. If the original price of the boat was $15,000, what is the value of the boat 5 years later? Round your answer to the nearest penny (hundredths place value).
Answer: $7,915.98
Step-by-step explanation: This is an exponentially decaying problem, so that means we use the formula ab^x.
The a value is the original price or the starting point, which is 15,000. The b value is the ratio in which it decreases or increases. It is decreasing, so we subtract 12 from 100, which is 88. The ratio should be in decimal form, so it is 0.88. Finally, the x should be the exponent, the amount of times it is getting multiplied by the ratio. So the equation would be 15,000(0.88)^5.
Then, we solve.
0.88 * 0.88 * 0.88 * 0.88 * 0.88 = 0.5277319168
Then 0.5277319168 * 15,000 = 7,915.978752.
Of course, we round to the nearest hundredth, which is 7,915.98. Hope this helped.
1. GASOLINE The table gives the cost of a gallon of gasoline at two stations. How much more does gasoline cost at Gas For Less than at Cut-Rate? Cut-Rate 2.x + 3.5 Gas for less V12
Answer:
GASOLINE The table gives the cost of a
gallon of gasoline at two stations.
How much more does gasoline cost at
Gas For Less than at Cut-Rate?
Step-by-step explanation:
A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use $x$ to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.
Amount Used for Payment $80
Change Received $19.25
An equation that represents this situation is
.
The customer buys
sandwiches.
Answer:
[tex]\frac{80-19.25}{6.75} = x[/tex]
Step-by-step explanation:
Subtract $19.25 from the Amount Used for Payment ($80) to get the amount spent, then divide the amount of each sandwich to get the amount of sandwiches bought.
#1 someone help me with this question pls ??
Answer:
58-51
why to have the speed of a cucumber you need a potato on a skateboard at 1000kmh, ok?
Answer: 4 I think
on each side it has 4
i need help please i'll give brainly
Answer:
60 +24 = 84
Step-by-step explanation:jjjjjhjhjhj
6 x 4 +5 x 12
Bella withdrew $80 from her checking account over a period of 4 weeks. Which equation can be used to represent the average weekly change in her bank account?
A.+$800÷−4=−$200
B.−$800÷−4=$200
C.+$800÷4=−$200
D.−$800÷4=−$200
Answer:
D is the answer
Step-by-step explanation:
You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use x for hours worked at the grocery store and y for hours teaching music lessons. i need the inequility for total work. please fast
Answer:
without numbers= 10x + 15y = 120
Step-by-step explanation:
grocery store= 10x (x=8 in this case)
music lessons= 15y
Find the value of x. Round to the nearest tenth
Answer:
36.869 or 36.87
Step-by-step explanation:
first, you find which trig function you are using. in this case, tangent.
then, you put calculate the arctan(3/4) which is 36.96989765
The measure of angle x = 36.9°
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"In a right triangle [tex]a^{2}+ b^{2}= c^{2}[/tex] where c is the hypotenuse and a, b are other two sides of the right triangle."
What is sine angle?"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle [tex]\theta[/tex] to the hypotenuse."
For given question
First we find the hypotenuse of the right triangle.
Let 'h' be the hypotenuse of the right triangle.
Using Pythagoras theorem,
[tex]h^{2} =3^{2} +4^{2} \\\\h^{2} =9+16\\\\h^{2} =25\\\\h=5[/tex]
We find the sine of angle 'x'
[tex]\Rightarrow sin(x)=\frac{opposite~side~of~x}{hypotenuses} \\\\\Rightarrow sin(x)=\frac{3}{5}\\\\ \Rightarrow sin(x)=0.6\\\\\Rightarrow x=sin^{-1}(0.6)\\\\\Rightarrow x=36.9^{\circ}[/tex]
Therefore, x = 36.9°
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Based on the Pythagorean theorem, select all of the following statements that must be true
Answer:
The 1st and 4th statements are true.
The results of a linear regression are shown below.
y=ax+b
a=-1.15785
b=139.3171772
r=-0.896557832
r^2=0.8038159461
Which phrase best describes the relationship between x and y?
A. Strong negative correlation
B. Strong positive correlation
C. Weak positive correlation
D. Weak negative correlation
Hello!
As we can see, our a value, which would be the coefficient of [tex]x[/tex], which determines our slope, is negative, meaning that this whole line is negative.
Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.
If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.
The box plots below show the distribution of salaries, in thousands, among employees of two small companies.
A box plot titled Salaries in Dollars at Company 1. The number line goes from 25 to 80. The whiskers range from 25 to 80, and the box ranges from 26 to 34. A line divides the box at 30.
Salaries in Dollars at Company 1
A box plot titled Salaries in Dollars at Company 2. The number line goes from 35 to 90. The whiskers range from 36 to 90, and the box ranges from 38 to 44. A line divides the box at 40.
Salaries in Dollars at Company 2
Which measures of center and variability would be best to use when making comparisons of the two data sets?
Answer:
Mean and IQR
Step-by-step explanation:
The measure of centre gives the central or the measure which gives the best mid term of a distribution. Based in the details of the box plot, the median is the value which divides the box in the box plot.
For company A:
Range = 25 to 80 with a median value at 30 ; this means the median does not give a good centre measure of the distribution ad it is very close to the minimum value. This goes for the Company B plot too; with values ranging from (35 to 90) and the median designated at 40.
Hence, the mean will be the best measure of centre rather Than the median in this case.
For the variability, the interquartile range would best suit the distribution. With the lower quartile and upper quartile both having reasonable width to the minimum and maximum value of the distribution.
Answer:
B
Step-by-step explanation:
Over which interval does f(t) have positive average rate of change?
A) -8,-2
B) -5,-1
C) -9,-8
D) 2,4
Answer:
D) 2,4
Step-by-step explanation:
The only answer with positive numbers
Answer:
D) 2,4
Step-by-step explanation:
Pls help meee and thank you
Answer:
I believe the answer is y=4x+4
Step-by-step explanation:
because the 4 that is on the Y axis is the Y axis
and the 4 on the x axis will be the one with the variable
Hopefully this helps.
I need help with this helpppp :(
Answer:
Domain: (-∞,+∞)
Range: (-∞,1)
y-intercept: (0,2)
Asymptote: I am not sure (sorry) I know they can be solved using the equation n(x)=0
Step-by-step explanation:
Domain: the set of all x-values
- this graph has arrows which means the domain is from -∞ to +∞ (-∞,+∞)
Range: the set of all y-values
- the graph extend continuously on the negative side so -∞ and it stops at 1 on the positive side (-∞,1)
Y-intercept: this point is where the graph crosses the y-axis, this is at (0,2)