Answer:
The cost of 1 orange y = 1.1
Step-by-step explanation:
Let cost of 1 apple = x
Cost of 1 orange = y
We will make equations from given statements to find the cost of 1 orange i.e y
Wilma bought 3 apples and 6 oranges for $9: Mathematical expression will be: [tex]3x+6y=9[/tex]
Fernando bought 6 apples and 2 oranges for $7. Mathematical expression will be: [tex]6x+2y=7[/tex]
Let:
[tex]3x+6y=9--eq(1)\\6x+2y=7--eq(2)[/tex]
Multiply eq(1) by 2 and subtract both equations.
[tex]6x+12y=18\\6x+2y=7\\- \ \ \ - \ \ \ \ -\\-----\\10y=11\\y=11/10\\y=1.1[/tex]
So, We get value of y=1.1
Now, put value of y in eq(1) to find value of x
[tex]3x+6y=9\\3x+6(1.1)=9\\3x=9-6.6\\3x=2.4\\x=2.4/3\\x=0.8[/tex]
So, the cost of 1 orange y = 1.1
A rescuer is trying to save a cat at the very top of a tree. The height of the tree is 35 feet. A rope is thrown to the top of the tree at a 25° angle from a tether on the ground.
1. Draw a diagram to model the problem.
2. What is the length of the rope needed to meet the tree? Show all work and label the answer. Round to the nearest tenth, if needed.
[tex] \sin(c) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(25) = \frac{35}{b} [/tex]
[tex](b) \sin(25) = \frac{35}{b}(b)[/tex]
[tex](b) \sin(25) = 35[/tex]
[tex] \frac{(b) \sin(25) }{ \sin(25) } = \frac{35}{ \sin(25) } [/tex]
[tex]b = \frac{35}{ \sin(25) } [/tex]
[tex]b = 82.8[/tex]
the length of the rope needs to be around 82.8
simplify the following expression
-4x + 2x - 7x
8-b; when a= 3 and b=5
A student estimated the temperature of the room to be 24°C. After carefully measuring, he found the actual temperature to be 23.5°C. What is the percent of error?
Answer:
2.13% (rounded to nearest thousandth)
Step-by-step explanation:
You subtract 24 from 23.5 to get 0.5
Then you divide 0.5 by 23.5 to get 0.02127
Then you multiply that by 100 to get your percent error
Taking 24 then using the process of elimination the total percentage that he was off by was 1.05% off
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pounds each, because the bigger bags were on sale. Did he end up with more grapes or less grapes by buying the bigger bags? Explain how to use the distributive property to find the product (3) ( 4 1/5)
Answer:
He ended up with about 1 pound less grapes.
Step-by-step explanation:
Answer:
D: 12 3/5
Step-by-step explanation:
i did the assignment
help!! will give brainl.ly <3
Answer:
7.5
Step-by-step explanation:
Since the triangles are congruent, corresponding sides will have the same lengths. So since line AC is 7.5, line HT must also be 7.5
2. Ten is the same as the quotient of n and five increased by six
Answer:
10=n/5+6
Step-by-step explanation:
How do I solve this equation?
Answer:
x=-4/5 and 2
Step-by-step explanation:
since it is absolute value, 5x-3 can = 7 or negative 7
5x-3=7
5x=10
x=2
or
5x-3=-7
5x=-4
x=-4/5
complete the table for
f(x) =x^2-2
Answer:
2,-1,-2,-1
Step-by-step explanation:
You just replace x with the given numbers
Use Cramer's rule to find the solution to the following system of linear equations.
x-2y = -7
5x-9y=-5
Answer:
x = 53
y = 30
Step-by-step explanation:
Step(I):-
Given equations are
x -2y =-7 ...(I)
5x-9y =-5 ..(ii)
The matrix form AX = B
[tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]
The determinant
[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]
By using Cramer's Rule
Δ₁ = [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]
The determinant is Δ₁ = -9 X -7 - (10 ) = 53
x = Δ₁ / Δ
x = 53
The determinant
Δ₂ =
Δ₂ = -5 +35
y = Δ₂/Δ = 30
x - 2y = -7
5x - 9y = -5
[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]
A couple of travelers are buying souvenirs at the gift shop in Istanbul, Turkey. Jake buys a
keychain for $7.65 and 5 pounds of Turkish delights. Tina buys postcards for $2.45 and 4
pounds of Turkish delights for her mom. Use the variable p to represent the price, in dollars,
per pound of cherries. Write and simplify an expression to represent how much more Jackson
spent.
Answer:
The answer is below
Step-by-step explanation:
Let p represent the cost of Turkish delights in dollar per pound. Therefore the money spent by Jake who bought 4 pounds of Turkish delight is:
money spent by Jake = 7.65 + 5p
The money spent by Tina who bought 4 pounds of Turkish delight is:
Money spent by Tina = 2.45 + 4p
The money Jake spent more = difference between money spent by Jake and that spent by Tina = money spent by Jake - money spent by Tina = (7.65 + 5p) - (2.45 + 4p) = 5.20 + p
The Stock Market nadia is a stockbroker. Earns 14% commission each week. Last week, sold 7200$ worth of stocks. How much did make last week in commission? If averages that same amount each week, how much did make in commission in 2011?
Answer:
Step-by-step explanation:
C=0.14×7,200=1008
Nadia made a total of $1008 last week in commission sales
b). To express the total amount she made in 2011, we derive the formula below;
Total amount (2011)=Average weekly commission× number of weeks in 2011
where;
Average weekly commission=$1008
number of weeks in 2011=52
replacing;
Total amount (2011)=(1008×52)=52,416
The total amount Nadia in commission in 2011=$52,416
Bo is buying a board game that usually costs B dollors The game is on sale and the price has been reduced by 18%
Answer:
S.O.S
S.O.S HELPME
DENGER HELPME
At Mukilteo Elementary school The two fastest runners in the 100 yard dash had race times of 12.19 seconds and 12.38 seconds how much faster was the first runner from the second runner
Help Plz
Linear equations
Answer:
- So were x is 0 that is your y-intercept.
y-intercept: 5
- For your slope it is alway Rise over Run and if your slope is negative you might go down instead of up. So for this table your slope is a zero slope because it is going directly across the graph horizontally. Think of it as a stick figure, with a positive slope they walk up the line with a negative they walk down and zero they walk strait on flat ground. so therefore there is no slope.
You always have your y-intercept in you equation
y=mx+b mx is slope and b is your y-intercept
since your line is not negative or positive and is horizontal a zero slope meaning there is like no slant or angle to your line your equation will look like this.
y=5
because there is no mx (slope) and only a y-intercept
slope: 0
y-intercept: 5
Equation: y=5
(0, 1) , (4, 2) equation in slope intercept form
Answer:
2=1/4(4+b)
Step-by-step explanation:
(0,1), (4,2)
first, find the slope
slope formula- (y2-y1)/(x2-x1)
plug in the coordinates
(2-1)/(4-0)
subtract
1/4
slope=1/4
slope intercept form- y=mx+b
choose one of the coordinates to plug in
(4,2)
plug it in
2=1/4(4+b)
A car drove 1550 miles on 45 gallons of gas. What is the Unit Rate of miles
per gallon of gas? *
Answer:
1550/45
Step-by-step explanation:
What is the sum of 8 and t?
Answer:8+t because the value of t isn’t determined.
Tell whether the value is a solution of the inequality. Pls helpp
Answer: it is most likeply a solution
Step-by-step explanation:
Answer:
No, the answer is a solution to the inequality.
Step-by-step explanation:
When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the inequality.
2x > 5; x = -4
2(-4) > 5
-8 < 5
The answer is false, because there is no solution to -8 < 5. Therefore, the value is not a solution of the inequality.
Please mark me the brainliest!?!
PLSS HELPPPP
Reggie recorded how longRandomly selected her to walk 1 mile. He recorded the data in the dot plot below. If 126 students were selected, how many students would Reggie predict would take more than 18 minutes to walk 1 mile.
Answer:
48
Step-by-step explanation:
If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.
i need help with how to answer B because i don’t know
Answer: 48 feet
In order to get the answer you have to plug 12 into the equation you made in part a.
Firstly, let's check your answer to part A.
We know that there is no y-intercept because the line crosses the origin (0,0).
Let's use the slope formula to find the slope:
[tex]\frac{y2 - y1}{x2 - x1} = \frac{20 - 0}{5-0} = \frac{20}{5} = 4[/tex]
So, the slope is actually 4x.
Now, we go on to answer part b.
y = 4x
Plug in the 12
y = 4(12)
y = 48
Therefore Kelvin will have walked 48 feet after 12 seconds.
I hope this helps!!
- Kay :)
Evaluate 4 - (3 + 2)2
O A. 5
O B. 1
C. -21
O D. -9
Answer:
-6
Step-by-step explanation:
4−(3+2)2
Add 3 and 2 to get 5.
4−5×2
Multiply 5 and 2 to get 10.
4−10
Subtract 10 from 4 to get −6.
−6
Help I will give brainly
Answer:
C.
Step-by-step explanation:
A negative number divided by a negative number is a positve number.
Answer:
c and d
Step-by-step explanation:
A homeowner is making plans to landscape her yard. She plans to hire professionals to install grass sod in some parts of the yard and flower beds in other parts. Grass sod installation costs $2 per square foot and flower bed installation costs $12 per square foot. Her budget for the project is $3,000. Write an equation that represents the square feet of grass sod, x, and the square feet of flower beds, y, that she could afford if she used her entire budget.
Answer: 2x+12y<3000
Step-by-step explanation:
x intercept: (1,500,0)
y intercept: (0,250)
The linear equation that represents the total cost will be 2x + 12y = 3000.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
A mortgage holder is making arrangements to scene her yard. She intends to recruit experts to introduce grass turf in certain pieces of the yard and blossom beds in different parts. Grass turf establishment costs $2 per square foot and blossom bed establishment costs $12 per square foot. Her spending plan for the venture is $3,000.
Let 'x' be the square feet of grass sod and 'y' be the square feet of flower beds. Then the total cost is given as,
2x + 12y = 3000
The linear equation that represents the total cost will be 2x + 12y = 3000.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Write the slope-intercept form of the equation of the line described.
Answer:
Please check the explanation.
Step-by-step explanation:
6)
Given the line
[tex]y=-\frac{1}{3}x+3[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
Thus, the slope of line = -1/3
We know that parallel lines have the same slope.
Hence, the slope of the parallel line is also m=-1/3
So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept
[tex]y=mx+b[/tex]
[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]
Switch sides
[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]
[tex]-1+b=1[/tex]
[tex]b=2[/tex]
Thus, the equation line in slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=-\frac{1}{3}x+2[/tex]
8)
Given the line
[tex]y=\frac{1}{4}x+1[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
so the slope of line = 1/4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: -4
Thus, subtituting m = -4 and (-1, 4) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]
writing the point-slope form in the slope-intercept form
[tex]y-4=-4\left(x+1\right)[/tex]
add 4 to both sides
[tex]y-4+4=-4\left(x+1\right)+4[/tex]
[tex]y=-4x[/tex]
Chris and Nick want to split an 8-scoop ice cream sundae. The
sundae costs $15.75. They each earned $6.50 for weeding the
garden for their mom. How much more money do they need to buy
this sundae?
Answer:
9.25
Step-by-step explanation:
15.75 minus 6.50 then you get 9.25
Solve
.
.
.
6/14=7/x-3
Answer: x
=
19
1
3
Step-by-step explanation:
6
14
=
7
x
−
3
Rewrite the equation as
7
x
−
3
=
6
14
.
7
x
−
3
=
6
14
Cancel the common factor of
6
and
14
.
Tap for more steps...
7
x
−
3
=
3
7
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
7
⋅
7
=
(
x
−
3
)
⋅
3
Solve the equation for
x
.
Tap for more steps...
x
=
58
3
The result can be shown in multiple forms.
Exact Form:
x
=
58
3
Decimal Form:
x
=
19.
¯
3
Mixed Number Form:
x
=
19
1
3
Solve the system by substitution 3x+y=-16 and y=-x-4
Solution,
y = -x-4......(i)
3x + y =- 16.......(ii)
Now,
Substituting the value of y in equation (ii)
or, 3x + (-x-4)= -16
or,3x - x - 4 = -16
or, 2x= -16 +4
or, x = -12/2
: x = -6
Then,
Substituting the value of x in (i) equation;
or,y= -(-6) - 4
or,y= 6 - 4
: y =2
Which inequality describes the graph?
-10
-5
0
5
10
А
XS-2
B
x x<-2
x>-2
x-2
Answer:
x>-2
Step-by-step explanation:
An open circle implies that the solution cannot be equal to, therefore options A and D are incorrect. Since the shows the arrow pointing towards the left that means all solutions greater than -2 are correct. Therefore, x>-2.
HELP MEE PLSSS
Uncle Drew scored 282828 points in 5\dfrac565
6
5
5, start fraction, 5, divided by, 6, end fraction minutes during a game of basketball.
How many points did he average per minute during that 5\dfrac565
6
5
5, start fraction, 5, divided by, 6, end fraction minutes?
points per minute
Answer:
i do no
Step-by-step explanation: