A truck is working to carry a batch of goods including sand and
stone but it can only carry 20 tons at most. The carriage
charges of each ton of sand and stone are 10 and 15 dollars
respectively. Its owner wants to earn at least 250 dollars. Write
a system of inequalities to express this situation. What is the
least possible number of tons of stone the owner needs to
carry to meet his own goal?
tons
Enter the answer
Check it
Answer:
Y=10
Step-by-step explanation:
No
Buckeye truck rentals has a daily rate of $59.99 plus $0.34/mile. Goodyear truck rentals has the same size truck for 58.95 plus $0.36/mile. At how many mile will the cost be the same?
Answer:
52 miles
Step-by-step explanation:
Step one:
given data
Buckeye truck rentals
daily rate of $59.99
plus $0.34/mile
let the number of miles be x
and the total charge be y
so
y= 0.34x+59.99---------------1
Goodyear truck rentals
daily rate of 58.95
plus $0.36/mile
let the number of miles be x
and the total charge be y
so
y= 0.36x+58.95---------------2
Step two:
Equate the two equations above to find x
0.34x+59.99=0.36x+58.95
collect like terms
59.99-58.95=0.36x-0.34x
1.04=0.02x
divide both sides by 0.02
x= 1.04/0.02
x=52 miles
Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?
Answer:
5.625
Step-by-step explanation:
For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field. Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows. Cone W is located at (-38, -53). Cone X is located at (-38, 53). Cone Y is located at (38, 53). Cone Z is located at (38, -53). What is the perimeter of the field? A. 364 yards B. 8,056 yards C. 182 yards D. 38 yards
Answer:
A. 364 yards
Step-by-step explanation:
The distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] on the coordinate plane is given as:
[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The cone W, X, Y and Z form a rectangle.
The perimeter for the rectangle = 2(length + breadth)
[tex]Length=|WX|=\sqrt{(-38-(-38))^2+(53-(-53))^2}=106 \\\\Breadth=|XY|=\sqrt{(38-(-38))^2+(53-53)^2}=76[/tex]
Perimeter = 2(length + breadth) = 2(106 + 76) = 364 yards
PLEASE HELP! Will give brainliest
5. What is the next term of the sequence -3, 6, -12, 24,... , and what it's arithmetic sequence?
Answer:
a(5)=-48
Step-by-step explanation:
I think u r confused
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6+3=9 not equal to d=-12-6=-18
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/-3=-12/6=24/-12=-2 equal
So it is geometric
By using this equation:
a(n)=a*r^(n-1)
and we have a=-3 , r=-2
Then a(n)=-3*(-2)^(n-1)
To get the next term:
a(5)=-3*(-2)^(5-1)
a(5)=-3*(-2)^(4)
a(5)=-3*16=-48
I really hope this helps <3
the sum of renting bowling shoes for $6 and $3 per game
Answer:
9
Step-by-step explanation: 6+3=9
The rent is $9
Identify the slope of the table
Answer:
The alop is 4. Glad this helps.
Answer:
the slope is 4
Step-by-step explanation:
I need help! please help
Answer:
B
Step-by-step explanation:
Please mark me brainleist
Hi there! Someone please help me with this question correctly :)
I’ll mark brainliest and give out points
Answer:
y=x+4
Step-by-step explanation:
So uh, i dont know how to explain, but fairly sure its y=x+4
Find the difference.
89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05
Based on the given figure, determine the angles that show congruent alternate exterior angles
Answer:
Angle 1 and angle 8
Angle 2 and angle 7
Step-by-step explanation:
Alternate exterior angles are angles positioned alternating each other along the transversal, where both angles are found outside the two parallel lines cut across by the transversal.
Thus from the diagram given, the following are alternate exterior angles that are congruent:
Angle 1 and angle 8
Angle 2 and angle 7
what is the value of x?
Answer:
x=3
Step-by-step explanation:
6x+4y=42 -3x+3y=-6 by elimination
Answer:
x=5, y=2
Step-by-step explanation:
To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.
x=5
y=2
Answer: (5, 3)
Step-by-step explanation:
Solve by Addition/Elimination
6x + 4y = 42 −3x + 3y = −6
Multiply each equation by the value that makes the coefficients of x opposite.
6x + 4y = 42
(2) ⋅ (−3x + 3y) = (2) (−6)
Simplify (2) ⋅ (−3x + 3y).
6x + 4y = 42
−6x + 6y = (2) (−6)
Multiply 2 by −6. 6x + 4y = 42
−6x + 6y = −12
Add the two equations together to e liminate x from the system.
6x + 4y = 42
±6x + 6y = −12
1 0y= 30
Divide each term in 10y = 30 by 10.
10y = 30
10 10
Cancel the common factor of 10.
y = 30/10
Divide 30 by 10.
y = 3
Substitute the value found for y into one of the original equations, then solve for x.
Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42
Multiply 4 by 3.
6x + 12 = 42
Move all terms not containing x to the right side of the equation.
6x = 30
Divide each term by 6 and simplify.
x = 5
The solution to the independent system of equations can be represented as a point.
(5, 3)
The result can be shown in multiple forms.
Point Form:
(5, 3)
Equation Form:
x = 5, y = 3
What is Зх — 4y + 3x + 2y
Answer:
6x - 2y
Step-by-step explanation:
3x - 4y + 3x + 2y
combine like terms
6x -2y
hope this helps!!!
WILL MAKE BRAINLEST PLS HELP
is j + 8 = 72 a solution
Graph y=-x-6 YOU WILL BE MARK BRAINLIEST
Determine which set of numbers represent the lengths of the sides of a triangle.
A.
15, 12,9
B.
20, 10,9
C.
47, 21, 70
D.
12, 2.2, 14.3
will give brainliest!!
Answer:
I think its A
Step-by-step explanation:
Please mark brainliest
One number is 6 less than another number. Their sum is 50. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6
Answer:
y = 2x - 6
Step-by-step explanation:
need help I forgot how to do this
Answer:
A.
Step-by-step explanation:
you have to find the discriminant
b²-4ac for each equation
if discriminant < 0 no real solutions because will be negative under the squareroot whhan you try to find the roots
if discriminant = 0 there is only one solution
if discriminant > 0 two real solutions
for your given problems
A. discriminant =(-2)²-4*2*15 will be negative
Assume y≠60 which expression is equivalent to (7sqrtx2)/(5sqrty3)
Answer:
The equivalent will be:
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]
Therefore, option 'a' is true.
Step-by-step explanation:
Given the expression
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]
Let us solve the expression step by step to get the equivalent
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]
as
[tex]\sqrt[7]{x^2}=\left(x^2\right)^{\frac{1}{7}}[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=x^{2\cdot \frac{1}{7}}[/tex]
[tex]=x^{\frac{2}{7}}[/tex]
also
[tex]\sqrt[5]{y^3}=\left(y^3\right)^{\frac{1}{5}}[/tex] ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=y^{3\cdot \frac{1}{5}}[/tex]
[tex]=y^{\frac{3}{5}}[/tex]
so the expression becomes
[tex]\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex] ∵ [tex]\:\frac{1}{y^{\frac{3}{5}}}=y^{-\frac{3}{5}}[/tex]
Thus, the equivalent will be:
[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]
Therefore, option 'a' is true.
37x+2=38x find measure
Answer:
x = 2
Step-by-step explanation:
[tex]37x + 2 = 38x\\=> 38x-37x=2\\=> x = 2[/tex]
Answer:
x=2
Step-by-step explanation:
37x + 2 = 38x
<=> 2 = 38x - 37x
<=> 2 = x
So x = 2
Which correctly describes how the graph of the inequality -5x+3y>9
PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?
Answer:
the answer is c
Step-by-step explanation:
good luck
Answer:
last option
Domain: -3,-1,2,5 Range: 0,2,4
It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!
Step-by-step explanation:
The domain is the x values and the range is the y values.
Hope this helps!
On Wednesday, a local hamburger shop sold a combined total of 282 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
The annswer is 94 hamburgers
Step-by-step explanation:
hope you have a nice day
Line segment RS has endpoints R(– 2, 4) and S (– 4, – 1). Line segment R''S'' has endpoints R'' (3, – 3) and S'' (5, 2). Name the transformations that map line segment RS to line segment R''S''. reflection over the line y = x, followed by a translation (x, y) → (x + 1, y + 1) rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1) rotation of 90° counterclockwise about the origin, followed by a translation (x, y) → (x + 2, y + 1) translation (x, y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin
Answer:
Rotation of 180° about the origin,
Followed by a translation (x, y) → (x + 1, y + 1)
Step-by-step explanation:
Given
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S" = (5,2)[/tex]
Required
Determine the transformations
From the list of given options (B) answers the question.
Rotation of 180° about the origin,
When a point (x,y) is rotated 180 about the origin, the new point becomes (-x,y)
So:
[tex]R = (-2,4)[/tex]
[tex]S = (-4,-1)[/tex]
becomes
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
A translation (x, y) → (x + 1, y + 1)
This implies that 1 is added to the x and y coordinates
So:
[tex]R' = (2,-4)[/tex]
[tex]S' = (4,1)[/tex]
becomes
[tex]R" = (2 + 1,-4 + 1)[/tex]
[tex]R" = (3,-3)[/tex]
[tex]S"=(4 +1,1+1)[/tex]
[tex]S" = (5,2)[/tex]
6.8 * 10(2)
*keep in note that "2" is an exponent in this question*
Answer:
68
Step-by-step explanation:
6.8 × [tex]10^2[/tex]
= 68
Convert 6 4/5 into improper fractions.
32/6
32/5
33/5
36/5
Answer: 34/5
Step-by-step explanation:
Subtract what she has now from the total she needs. She needs ten. She has one 2 1/3 and 3 1/3 added is 5 2/3
Answer:
4 ⅓
Step-by-step explanation:
10 - 5 ⅔
10 - 5 × 3 + 2/3
10 - 17/3
3 × 10 - 17/3
30 - 17/3
13/3 = 4 ⅓
-TheUnknownScientist
is it A B C or D. i need help quickly
Answer:
D
Step-by-step explanation:
D is the only one with 1.5 as a y-intercept.
~theLocoCoco
Answer:
Answer is D
Step-by-step explanation:
0x means that the x axis did move. the y intercept is 1.5. if no number appears infront of y or x just know that the 1 is always infront of y or x even if you don't see it.