Answer:
$68.48
Step-by-step explanation:
You want to find cost such that ...
6.25% × cost = $4.28
Dividing by the coefficient of cost, we get ...
cost = $4.28/0.0625 = $68.48
Answer:
the answer would be 68.48
Step-by-step explanation:
On a 120-question test, a student got 96 correct answers. What percent of the problems did the student work correctly? (Btw use proportions and pls explain descriptively how you got your answer)
Answer:
Hey there!
96 correct/120 total= 4 correct/5 total.
Thus, the student had 0.8 of the answers correct, or 80% of them
Hope this helps :)
Answer:
please mark me as the brainliest
Step-by-step explanation:
80%
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY 20 MINS LEFT
Answer:
This indicates that the point of intersection is: (8,-6)
Step-by-step explanation:
The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.
The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.
In this case you have y=14−2.5x and y=1.5x−18
Equating the equations you get:
14-2.5x=1.5x-18
Solving:
14+18=1.5x+2.5x
32=4x
32÷4=x
x=8
Replacing in both equations: y=14-2.5*8=-6
y=1.5*8-18=-6
This indicates that the point of intersection is: (8,-6)
The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18
Mrs. Lobo earns a salary of $50,000 per year plus a 4% commission on her sales. The average price of a share
she sells is $50.
Write an inequality to describe about how many shares Mrs. Lobo must sell to make an annual income of at
least $70,000
Select one:
O a. 50,000 + 2x > 70,000
O b. 50,000 + 2x < 70,000
O c. 50,000 -- 2x > 70,000
d. 50,000 + 2 > 70,000
Answer:
a) 50,000 + 2x > 70,000
Step-by-step explanation:
Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.
If she makes $y commission from sales, Mrs Lobo total income per year is:
$50000 + $y.
She makes 4% commission on her sales of share with the average price of a share = $50
Average commission from sales = 4% × $50 = 0.04 × 50 = $2
If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:
50000 + 2x
The amount of shares Mrs Lobbo must sell to make an annual income of at
least $70,000 is given by the inequality:
50,000 + 2x > 70,000
Which of the following is most likely the next step in the series?
Answer:
C.
Step-by-step explanation:
Well if 1 is blue and 2 is tan and 3 is blue and across from 1.
Then 4 will be tan because it is across from 2 which is tan.
C.
Answer:
C
Step-by-step explanation:
It goes blue, blue pink, blue pink blue, so according to the pattern the next would be pink.
p.s. thank you so much for all the points!!!!! Like the other answer said brainliest is always appreciated. Here I am, question #2. You can award it to them now 8-D
Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?
1 blue paper chain and 2 red paper chains
Answer:
1 blue paper chains and 2 red
Step-by-step explanation:
becuase 4 plus 3 plus 3 is 10
explain the importance to count change
Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≥ 15 3x + 2y ≥ 15 Answer: 25, 46, 39, 37.5
Answer:
Option D.
Step-by-step explanation:
Minimize the objective function P = 5x + 8y for the given constraints.
[tex]x\geq 0,y\geq 0[/tex]
[tex]2x+3y\geq 15[/tex]
[tex]3x+2y\geq 15[/tex]
The related equations of above inequalities are
[tex]2x+3y=15[/tex]
[tex]3x+2y=15[/tex]
For [tex]2x+3y=15[/tex],
x y
0 5
7.5 0
Plot (0,5) and (7.5,0) and join them by straight line.
For [tex]3x+2y=15[/tex],
x y
0 7.5
5 0
Plot (0,7.5) and (5,0) and join them by straight line.
Check the inequalities for (0,0).
[tex]2(0)+3(0)\geq 15\Rightarrow 0\geq 15[/tex] False
[tex]3(0)+2(0)\geq 15\Rightarrow 0\geq 15[/tex] False
It means both lines are solid lines and shaded region for each lies opposite side of (0,0).
From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).
Point P = 5x + 8y
(0,7.5) P=5(0)+8(7.5)=60
(3,3) P=5(3)+8(3)=15+24=39
(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)
So, minimum value is 37.5.
Therefore, the correct option is D.
Of a classroom filled with 20 students, 2 will be selected to stay after school and correct homework for extra credit. How
many combinations are possible?
Answer: 10
Step-by-step explanation:
20/2=10
pairs of two
Answer:
10 pair
Step-by-step explanation:
20/2=10
10 pairs of students staying after school for extra credit
HLP ! HLP ! Please and thank you
Answer:
Yes, it is an exponential function. The base is 2.
Step-by-step explanation:
As you can see, the function is f(x) = 2^(2x).
Since there is an exponent, the function is exponential. Graphing functions is another way to make sure if it's exponential or not.
The base is 2 because 2x, the exponent, is applied to it.
---
I hope this helps, let me know if you have any questions.
Which statements about this system of equations are true? Check all that apply 2 x minus 7 y = negative 13. Negative 2 x + 11 y = 1. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is 4 y = negative 12. x = 17 y = negative 3 There are infinitely many solutions to the system of equations.
Answer:
1 and 3.
Step-by-step explanation:
The given system of equations
[tex]2x-7y=-13[/tex] ...(1)
[tex]-2x+11y=1[/tex] ... (2)
Here, coefficients of x have same values with opposite signs.
The x-variable will be eliminated when adding the system of equations.
Add (1) and (2), we get
[tex]2x-7y-2x+11y=-13+1[/tex]
[tex]4y=-12[/tex]
Divide both sides by 4.
[tex]y=-3[/tex]
Put y=-3 in (1).
[tex]2x-7(-3)=-13[/tex]
[tex]2x+21=-13[/tex]
[tex]2x=-13-21[/tex]
[tex]2x=-34[/tex]
Divide both sides by 2.
[tex]x=-17[/tex]
So, the given system of equations have unique solution, i.e., (-17,-3).
Therefore, the correct options are 1 and 3.
Please answer both questions
Answer:
36 and 24
Step-by-step explanation:
Answer:
Part a : 20 units², Part d : 12 units²
Step-by-step explanation:
We are given that the side lengths of each square is 6 units. In this case we can calculate the area of the triangles, subtracting from the area of the outer square, such that we calculate the remaining, area of the shaded region / inscribed square.
Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,
Area of Common Triangles ( 4 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] ( 6 - 2 ) = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] 4 = 4,
4 [tex]*[/tex] 4 = 16 units²
Area of inscribed Square = 36 units² - 16 units² = 20 units²
For this second case the inscribed shape is not a square, but it can be calculated through a similar approach,
Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,
Area of Common Triangles ( 2 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 4 [tex]*[/tex] 6 = 2 [tex]*[/tex] 6 = 12,
12 [tex]*[/tex] 2 = 24 units²
Area of inscribed shape = 36 units² - 24 units² = 12 units²
Help ASAP! Will give out brainliest! Question: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent, dependent; one inconsistent; one inconsistent; none consistent, dependent; infinite
Answer:
Inconsistent; No Solution
Step-by-step explanation:
I used a graphing tool to graph the equations. When graphed, the lines are parallel. The lines have the same slope but a different y-intercept. This means that there is no solution.
The system is inconsistent, and therefore has no solution.
What is the value of x in the equation ( x +
({ x + 12) = {(x +
4x + 14) – 3?
-24
-6
2
0
Answer:
3
Step-by-step explanation:
(x+(×+12)=(×+4×+14)-3
×+×+12=×+4×+14-3
2×+12=5×-2×
+12-11=5×-2×
-1=3×
solve x^2+5x-2=0 Enter your answers,as exact values, in the boxes.
Answer:
√33
x = -5/2 ± ---------
2
Step-by-step explanation:
Through completing the square, we get:
x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or
(x + 5/2)^2 - 25/4 - 2 = 0.
This simplifies to
(x + 5/2)^2 = 33/4
Taking the square root of both sides yields:
x + 5/2 = ±√(33/4), which can be solved explicityl for x:
√33
x = -5/2 ± ---------
2
Which is the factored form of 64p3 + 125?
Select one:
O a. (4p + 5)2
O b. (4p + 5)(16p? + 20p + 25)
O c. (4p - 5)(16p² – 20p + 25)
O d. (4p + 5)(16p– 20p + 25)
Answer:
q .no d
Step-by-step explanation:
64p^3+125
4p^3+ 5^3
(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)
(4p+5) (16p- 20p+ 25)
Answer:
The answer is
(4p + 5)( 16p² - 20p + 25)Step-by-step explanation:
64p³ + 125
Write the number in exponential form of 3
That's
4³p³ + 5³
Multiply the terms
That's
(4p)³ + 5³
Using the formula
a³ + b³ = ( a + b)(a² - ab + b²)Factor the expression
That's
( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]
Solve the terms in the bracket
We have the final answer as
(4p + 5)( 16p² - 20p + 25)Hope this helps you
The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)
Answer:
[tex]\Large \boxed{(x+4)(x-1)}[/tex]
Step-by-step explanation:
Hello,
[tex]x^2+3x-4\\\\\text{*** The product of the zeroes is -4=-1*4 and their sum is -3=-4+1. ***}\\\\\text{*** So we can factorise. ***}\\\\x^2+3x-4=x^2-x+4x-4=x(x-1)+4(x-1)=\large \boxed{(x+4)(x-1)}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The factors of given function are (x + 4) and (x - 1)
To undestand more, check below explanation.
Factors of function:The modeled for algebra tiles is given as,
[tex]f(x)=x^{2} +3x-4[/tex]
We have to find the factors of given function.
Factoring means finding expressions that can be multiplied together to give the given equation.
If a quadratic equation can be factored, it is written as a product of linear terms.
[tex]f(x)=x^{2} +3x-4\\\\f(x)=x^{2} +4x-x-4\\\\f(x)=x(x+4)-1(x+4)\\\\f(x)=(x+4)(x-1)[/tex]
Hence, the factors of given function are (x + 4) and (x - 1)
Learn more about the factors here:
https://brainly.com/question/25829061
If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $ and the cost of 10 pounds of sugar is $ Bryan drives at an average speed of 60 miles per hour. At this rate, it will take him 3 hours to drive how many miles does Bryan
Answer:
The cost of one pound of sugar is $0.5 and the cost of 10lbs of sugar is $5
Bryan is driving 180 miles
Step-by-step explanation:
Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right
[tex]y=|\dfrac{1}{2}x-2|+3[/tex]
Since we are translating this graph one unit to the right, replace x with (x-1)
Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)
[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]
After simplifying, we now have the following equation:
[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]
This is the new equation. Let me know if you need any clarifications, thanks!
Answer:
we are given
y=|2x|-1
we are given to translate this equation
Whenever we translate any function to right side by 'c' units
we can replace x as x-c
Here , we have to translate one unit right
so, we can replace x as x-1
and we get
y=| 2( x-1 ) | 1
Hope this helps <3
1. From a circular sheet of radius 18 cm, two circles of radii 4.5 cm and a rectangle of length 4 cm and breadth 1 cm are removed; find the area of the remaining sheet. [π = 22/7 ]
Area of a circle = PI x r^2
Area of sheet = 22/7 x 18^2 = 1,018.29 square cm.
Area of small circle = 22/7 x 4.5^2 = 63.64 square cm.
There are 2 small circles so total area of the circles are 63.64 x 2 = 127.28 square cm.
Area of rectangle = l x w = 4 x 1 = 4 square cm.
Total area of cutouts = 127.28 + 4 = 131.28 square cm.
Area of sheet left, subtract area of cutouts fro area of sheet:
1018.29 - 131.28 = 887.01 square cm.
Round everything as needed.
Could I please have some help?
Answer:
1,910
Step-by-step explanation:
8 x 6 = 48 x 4 = 192 x 10 = 1,920 now 1,920 minus 10 = 1,910
i guess..but good luck
Answer:
144mi^2
Step-by-step explanation:
The first step would be to find the top and bottom of the shape which are two triangles.
The way you find the area of a triangle is
[tex]A= \frac{L*W}{2}[/tex]
The length is 6 and the width is 8 so you can plug in the numbers
[tex]A=\frac{6*8}{2}[/tex]
Then multiply 6 by 8
[tex]A=\frac{48}{2}[/tex]
And divide by two
[tex]A=24[/tex]
because there are two identical triangles, multiply 24 by 2 to get 48.
The two triangles make 48mi
Now you must find the area of all the rectangles on the sides separately.
The way to find the area of a rectangle is
[tex]A=L*W[/tex]
You must do one at a time, first, I will so the side with a length of 4 and width of 10
[tex]A=4*10[/tex]
Multiply 4 by 10 to get
[tex]A=40[/tex]
One of the rectangles has the area of 40mi
Now you must find the area of the other rectangles with the same formula. I will be doing the one with a length of 4 and a width of 8 next
[tex]A=4*8[/tex]
Multiply 4 by 8 to get
[tex]A=32[/tex]
The area of the second rectangle is 32mi
Finally, you want to find the area of the last rectangle that has a length of 4 and a width of 6. We will be using the same formula again
[tex]A=4*6[/tex]
Multiply 4 by 6 to get
[tex]A=24[/tex]
The area of the last rectangle is 24mi
The last step is to add all the areas together to get the surface area of the figure.
First the two triangles, then the first rectangle, the second, and finally the third.
[tex]SA = 48+40+32+24[/tex] (SA is surface area)
Once you add them all, you get
[tex]SA=144[/tex]
So the Surface area of the whole figure is 144mi^2
Hope this helps!
Feel free to ask any other questions if you have any.
Have a good day! :)
confused on this one
1. Assume that m26 = 60°. What must be true about 26 and 23 for the
lines to be parallel? Name the postulate or theorem that you used in
this justification
Answer:
The other measurement has to be 120 degrees. In other words, the two angles have to add up to 180 degrees. The method for that is same side interior.
Step-by-step explanation:
In same side interior angles, the sum of the two angles has to be 180 degrees. So we know that one of the angles is 60 degrees so we do 180-60=120.
If y varies jointly with x and y=5 when x=15 and z=24 find y when x=6 and z=14
Answer:
if they vary together then y would be 2
Step-by-step explanation:
since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y
Find the value of: [tex](1-\frac{1}{2^2})(1-\frac{1}{3^2})...(1-\frac{1}{100^2})[/tex] help ASAP
Answer
(1-1/2 2)= 3/4 <Exact Form> 0.75<Decimal Form>
1-(1)/(100^(2) = 9999/10000 <Exact Form> 0.9999 <Decimal Form>
Step-by-step explanation:
Hope this Helps! The Crystaline Gamerz on YT! Bye! please sub
==================================================
Explanation:
Each term multiplied out is of the form 1 - 1/(k^2) which we can write as 1^2 - (1/k)^2
Note we have something in the form a^2 - b^2 with a = 1 and b = 1/k
So
a^2 - b^2 = (a-b)(a+b)
1^2 - (1/k)^2 = (1 - 1/k)(1 + 1/k)
1^2 - (1/k)^2 = [ (k - 1)/k ] * [ (k + 1)/k ]
----------------
Let P = [ (k - 1)/k ] * [ (k + 1)/k ] represent the kth term we are dealing with
Then let Q be the term just after term P, so it's the (k+1) term
To form term Q, replace every k with k+1
Q = [ (k+1 - 1)/(k+1) ] * [ (k+1 + 1)/(k+1) ]
Q = [ k/(k+1) ] * [ (k+2)/(k+1) ]
----------------
Let's multiply P and Q to find out what happens . See figure 1 in the attached images below.
As figure 1 shows, we see that the middle terms cancel out. This will happen when we multiply P*Q*R, where R is the term just after Q. Extend this idea out as far as you want and each time the middle terms will pair up and cancel.
All that's left are the first and last terms, which are
1 - 1/2 = 1/2
and
1 + 1/100 = 101/100
They multiply to 101/200
----------------
Figure 2 (also attached as an image) shows a longer way to do the problem. Basically I expanded out a bunch of terms to multiply, and then show how we have various terms pair up and cancel, in basically the same way as explained above. What's left are the first and last terms 1/2 and 101/100 which multiply to 101/200.
Which expression is correctly written in scientific notation?
A. 398 x 10^1 B. 39.8 x 10^2
C. 3.98 x 10^4 D. .398 x 10^3
Need answer ASAP
Answer:
C. 3.98 x 10^4
Step-by-step explanation:
We are only allowed one non zero digit before the decimal
A. 398 x 10^1 3 non zero digits
B. 39.8 x 10^2 2 non zero digits
C. 3.98 x 10^4 1 non zero digit
D. .398 x 10^3 0 non zero digits
Find the value of x in the isosceles triangle shown below.
Answer:
x=10
Step-by-step explanation:
We can use the Pythagorean theorem to find x
The height meets the base at a right angle
The base is bisected ( cut in half) so the base is 6 the height is 8
a^2 + b^2 = c^2
6^2 + 8^2 = x^2
36+64 = x^2
100 = x^2
Taking the square root of each side
sqrt(100) = sqrt(x^2)
10 = x
Answer:
10
Step-by-step explanation:
This triangle is divided into 2 identical rigth triangles.
We will use the pythagorian theorem:
●8^2+ (12/2)^2 =x^2
● 64 + 36 = x^2
● x= 10
So x is 10
PLEASE ANSWER ASAP!!!!!! WILL MARK BRAINLY
Answer:
i think u r correct
Step-by-step explanation:
good job
Answer:
B, C, and E ([tex]x\leq -7,[/tex] The graph has a closed circle, and -7 is part of the solution.)
Step-by-step explanation:
Let's first solve the inequality of [tex]15\geq 22+x[/tex].
[tex]15\geq x+22[/tex]
[tex](15)-22\geq( x+22)-22[/tex]
[tex]-7\geq x[/tex]
[tex]x\leq -7[/tex]
So the final equation comes out to be [tex]x\leq -7[/tex].
This graph has a closed circle as it is a greater than OR equal to.
And -7 is a part of this solution as it is the number x is being compared to.
Let me know if I got anything wrong.
6/3x = 3. What is x?
Steps to solve:
6/3x = 3
~Multiply 3/6 to both sides
x = 3/2
Best of Luck!
Answer:
x = 3/2
Step-by-step explanation:
Hey there!
To solve this equation, let's rewrite it for cohesive purposes. This would result in (6/3)(x) = 3.
Now, we can simplify the fraction because it reduces to a whole number. Three will go into six two times, so 6/3 is equivalent to 2.
This leaves us with 2x = 3.
Now, we need to isolate the x. Because there is a coefficient leading the variable, we can divide the entire term (2x) by 2 as well as dividing the 3 on the righthand side of the equation by 2.
Remember the mathematical rule of thumb: what you do to one side of the equation, you must perform to the other side. Therefore, if we divide by 2 on the left side of the equation, we must also divide the righthand side of the equation by 2.
By performing this step, it leaves us with x = 1.5.
[tex]{\frac{2x}{2}=\frac{3}{2}}\\\\\bold{x = \frac{3}{2}}[/tex]
We can reduce [tex]\frac{3}{2}[/tex] to a decimal, which transfers to 1.5. However, it's best to leave the answer in fractional form. This leaves our final answer as [tex]\bold{x=\frac{3}{2}}[/tex].
is the square root of 34 rational or irrational
Answer:
irrational
Step-by-step explanation:
If a square root is not a perfect square, then it is considered an irrational number.
The square root of the number 34 is not a rational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The square root of the number 34
When evaluated, we have
The square root of the number 34 = √34
So, we have
The square root of the number 34 = 5.83.....
The above number cannot be represented by the quotient of 2 integers
Using the above as a guide, we have the following:
We can conclude that the number is an irrational number
Read more about rational number at
brainly.com/question/22221295
#SPJ6
What is -6/7 x (-3/8)
Answer:
9/28
Step-by-step explanation:
−6/7×−3/8and solve
−6 ×−3 OVER 7×8
=18/56
18÷2 OVER 56÷2=9/28 Therefore:
−6/7×−3/8=9/28
Answer:
[tex] \frac{9}{28} [/tex]Step-by-step explanation:
[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]
Multiplying two negative equals a positive
[tex]( - ) \times ( - ) = ( + )[/tex]
[tex] \frac{6}{7} \times \frac{3}{8} [/tex]
Reduce the numbers with G.C.F 2
[tex] \frac{3}{7} \times \frac{3}{4} [/tex]
Multiply the fractions
[tex] \frac{3 \times 3}{7 \times 4} [/tex]
[tex] \frac{9}{28} [/tex]
hope this helps...
Good luck on your assignment...
At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better buy?
Answer:
The 6 lemons for 2.50 is the better deal.
Step-by-step explanation:
2*3=6
3*0.99=2.97
2.97>2.50