Answer:
length = 20 inches
width = 13 inches
Step-by-step explanation:
l = length
w = width
area = l×w
perimeter = (2×l) + (2×w)
l = w + 7
l×w = 4×(2×l + 2×w) - 4
(w+7)×w = 4×(2×(w+7) + 2×w) - 4
w² + 7w = 4×(2w + 14 + 2w) - 4
w² + 7w = 8w + 56 + 8w - 4 = 16w + 52
w² - 9w - 52 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
here we use now w instead of x.
and a=1
b=-9
c=-52
w = (9 ± sqrt(81 - -208))/2 = (9 ± sqrt(81+208))/2 =
= (9 ± sqrt(289))/2 = (9 ± 17)/2
w1 = (9+17)/2 = 26/2 = 13
w2 = (9-17)/2 = -8/2 = -4
and a negative length does not make any sense for a geometric shape.
so, only w1 = 13 applies.
l = w + 7 = 13 + 7 = 20
Explain why and show how the expression -x might represent a positive number, a negative
number, or even 0.
The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100
Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5
Answer:
-35
Step-by-step explanation:
5(4)(-5) + -2(4)(-5) + (-5)²
= -100 + 40 + 25
= -35
Answer: -35
Step-by-step explanation:
5(4)(-5)+(-2)(4)(-5)+(-5)^2
-100+40+25
-35
Solve 2/5 - 1/7
Help pls this is timed!!!!
Answer:
9/35
Step-by-step explanation:
Answer:
9/35
Step-by-step explanation:
ok so find the lcm of 2/5 and 1/7: this is 35
then convert them
2/5 = 14/35
1/7 = 5/35
14/35 - 5/35 is 9/35
3+3=6! Easy for kids to learn!
Answer:
indeed
Step-by-step explanation:
3+3=6
explain how you your answer
Answer:
1.43 = x
Step-by-step explanation:
Math in the picture attached. Hope it helps!
Help help help help help
Answer:
100°
Step-by-step explanation:
Answer:
∡5=100°
Step-by-step explanation:
∡5 is perpendicular to the 100° above, therefore your answer is ∡5=100°.
Brainliest would be appreciated! :-)
Find the measure of the angle marked and indicated in bold.
Answer:
105° your answerStep-by-step explanation:
parrallel line = gongruent angles
16x - 7 = 15x
16x - 15x = 7
x = 7
------------------------
7 * 15 = 105° your answer
--------------------------------
16 * 7 - 7 = 15 * 7
105 = 105
the answer is good
Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.
The cost of cupcakes is $1.25 and cookies costs $0.90.
Two equations that would be used to determine the required values can be derived from this question:
20x + 40y = 61 equation 1
30x + 30y = 64.50 equation 2
In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.
60x + 120y = 183 equation 3
60x + 60y = 129 equation 4
Subtract equation 4 from 3
60y = 54
Divide both sides of the equation by 60
y = $0.90
Substitute for y in equation 1
20x + 40(0.9) = 61
20x + 36 = 61
20x = 61 - 36
20x = 25
x = 25 / 20
x = $1.25
To learn more about simultaneous equations, please check: : https://brainly.com/question/25739929
Help me plz it’s number 11 I need this urgent
Answer:
f = -9
Step-by-step explanation:
3(x)
3(-9)
-27
Write the first five terms of the geometric sequence whose first terns 6, and whose common ratio is 3.
The first five terms of the geometric sequence is 6, 18, 54, 162 and 486
Geometric progression is given by:
[tex]nth\ term=ar^{n-1}[/tex]
where a is the first term, r is the common ratio
Given that first term is 6, and common ratio is 3, Hence a = 6, r = 3
[tex]First\ term=6\\\\Second \ term=6(3)^{2-1}=18\\\\Third \ term=6(3)^{3-1}=54\\\\Fourth \ term=6(3)^{4-1}=162\\\\Fifth \ term=6(3)^{5-1}=486[/tex]
The first five terms of the geometric sequence is 6, 18, 54, 162 and 486
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I’m genuinely confused on this, can someone explain how to do this problem?
Answer:
[tex]n \times 12[/tex]
.......
Find x round. your answer to the nearest tenth of a degree
Answer:
x = 55.6
Step-by-step explanation:
Recall the 3 main trig functions
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
Note that hypotenuse = longest side length
We want to find angle "x".
We are given its opposite side length ( 19 ) as well as the adjacent side length
When dealing with the opposite and adjacent we use tan
Tan = Opp / Adj
Opp = 19 and Adj = 13
Tan(x) = 19/13
* take the inverse tan of both sides *
x = 55.6
Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked ppp peanut butter cookies. Together they baked a total of 56 cookies.
solve 557+3 using number disks
A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.
Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]
Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side
[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]
Now, we can plug in our value for x into the given equation
[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]
Open the parentheses
[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]
Merge Y values
[tex]6.8+10.8y=23[/tex]
Separate numerical values from variables
[tex]10.8y=16.2[/tex]
Divide by 10.8 in order to have a coefficient of 1
[tex]y=1.5[/tex]
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.
[tex]5x+3(1.5)=17[/tex]
Open parentheses
[tex]5x+4.5=17[/tex]
Single out the variable
[tex]5x=12.5[/tex]
Divide by 5 to have a coefficient of 1 before x
[tex]x=2.5[/tex]
[tex]y=1.5[/tex]
8/9 write simplified
Jill bought 7 pounds of melon and 0.9 pounds of cherries. How much fruit did she buy in all
Answer:
7.9 pounds of fruit
Step-by-step explanation:
In all means to add, so 7 + .9 = 7.9 pounds
PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT!! (Screenshot)
How much would you make for the YEAR at $25.02 per hour,
worked 51 hours and do get paid overtime? Round to the nearest
cent.
Answer:
1276.02
Step-by-step explanation:
25.02*51=(25*51)+(.02*51)=1275+1.02=1276.02
What is the slope of the line that passes through the points (6-8) and (10,-8)?
Answer:
The slope of the line that passes through the points would be 0
Step-by-step explanation:
Lets use the formula : y2-y1/x2-x1
In this case lets let y2 be -8 and y1 be -8
And lets let x2 be 6 and x1 be 10, that would look like..
-8-(-8)/6-10
which equals...
0/-4 = 0
We know that the slope of the line is 0
Hello hello helppppppppppppp
Answer:
the person anove is correct
Step-by-step explanation:
Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair
The equation used to model the regular cost of each chair at Maplewood Furniture store is given by 6c - 55 = 455
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
Let c represent the regular cost for x chairs. Hence:
c = mx + b
Given that a discount of $55 is applied to the total, hence, b = -55.
Rhianna buys a set of 6 chairs and pays 455, hence:
6c - 55 = 455
6c = 510
c = 85
The equation is given by 6c - 55 = 455 and the regular cost of each chair is $85
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HELP ME PLS
Ursula has fraction 1 over 2 cup of butter. She uses fraction 1 over 4 cup of butter to make a batch of brownies.
Part A: How many batches of brownies can Ursula make with fraction 1 over 2 cup of butter? (4 points)
Part B: On your own paper, draw a fraction model that shows the total number of batches of brownies that Ursula can make with fraction 1 over 2 cup of butter. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. (6 points)
Answer:
i think its 1/2
Step-by-step explanation:
Answer:
A. 1/2
1 over 2 is equal to 1/2
B. 1/2 Batch
This shape is broken up into rectangles. What is the area of the
entire shape?
Answer:
38inch2
Step-by-step explanation:
3inch*2inch+8inch*4inch
=6inch2+32inch2
=38inch2
Q.
x ÷ 2 = 1.000.000.000
x = ?
x÷2=1.000.000.000
x=1.000.000.000×2
x=2.000.000.000
Check:
2.000.000.000÷2=1.000.000.000
let's find the value of x
x ÷ 2 = 1.000.000.000x = 1.000.000.000*2x = 2.000.000.000✅Can u help me with my homework
HELP ME PLEASEEEEEEE I WILL GIVE POINTS AND BRAINLIEST
-35.9=y/0.1+0.1 please help me with this.
Answer:
358.9 I think
Step-by-step explanation:
If b= 62 degrees and c=24, find b.
Answer:
21.2
Step-by-step explanation:
b = sin of angle B times length of c
b = 24*sin(62) = 21.1907
Answer A
21.2
Step-by-step explanation:
