What is this suppose to mean
The perimeter (adding up all the sides) of a rectangular
piece of land is 42 meters. The length of the land can
be shown by (x + 4) and its width can be shown by
(2x – 7).
Solve for x, and then plug it back in to find the Length
and the Width of the land.
-7)
Answer:
x = 8
length is 12 meters
width is 9 meters
Step-by-step explanation:
P = 2l + 2w
where l is the length and w is the width.
(There are two sides with the same length, and two sides with the same width.)
Let l = x + 4 and w = 2x - 7
so 2(x+4) + 2(2x-7) = 42
Distribute the 2s
2x + 8 + 4x - 14 = 42
Combine like terms
2x + 4x + 8 - 14 = 42
Group
6x - 6 = 42
Add 6 to both sides
6x = 48
Divide 6 on both sides
x = 8
Plug back in
l = 8 + 4 = 12 meters
and w = 2(8) - 7 = 16 - 7 = 9 meters
Double-check: 2 * 12 + 2 * 9 = 24 + 18 = 42
All thwe shape have the same area. Which shape has the smallest perimeter?
Answer:
Among all shapes with the same area, a circle has the smallest/shortest perimeter.
Please help !!!! thank youuu
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Step-by-step explanation:
let : the pair of jeans = X
a. the equation is :
4(X-3) + 8 = 92
b. 4(X-3) = 92-8
4X -12 = 84
4X = 84+12
4X = 96
X = 96/4
X = 24
so, the price of each pair of jeans = $24
_________
For the solution x = 2.6, the left side of equation
(2x - 6) => would be 2(2.6)-6 = 5.2-6 = -8 ( the negative value),
but on the right side of the equation 4x+8 => 4(2.6) +8 = 18.4 ( the positive value)
this difference indicates that x=2.6 is not the right solution.
Answer:
a) Let x be the cost of one pair of jeans
[tex]4(x-3)+8=92[/tex]
b) $24
Step-by-step explanation:
Given information:
Cost of t-shirt = $8Coupon used for $3 off each pair of jeansTotal spend = $92 (before tax)Define the variable:
Let x = the cost of one pair of jeans
Create an equation using the defined variable and the given information:
Apply the coupon ⇒ cost of one pair of jeans = (x - 3)4 pairs of jeans ⇒ 4(x - 3)Plus the cost of the t-shirt ⇒ + 8Equals the total cost of ⇒ = 92:[tex]4(x-3)+8=92[/tex]
To find the price of each pair of jeans, solve the equation for x:
[tex]\implies 4(x-3)+8=92[/tex]
[tex]\implies 4(x-3)+8-8=92-8[/tex]
[tex]\implies 4(x-3)=84[/tex]
[tex]\implies \dfrac{4(x-3)}{4}=\dfrac{84}{4}[/tex]
[tex]\implies x-3=21[/tex]
[tex]\implies x-3+3=21+3[/tex]
[tex]\implies x=24[/tex]
Therefore, the price of each pair of jeans was $24.
----------------------------------------------------
Solving 3(2x - 6) = 4x + 8 mentally:
Expand the brackets:
⇒ 16x - 18 = 4x + 8
Subtract 4x from both sides:
⇒ 12x - 18 = 8
Add 18 to both sides:
⇒ 12x = 26
Two times 12 is 24. As 26 is very close to 24, then x ≈ 2.
(The actual value of x is 2.2 to 2 decimal places).
Assessing the student's solution:
As x = 2.6 rounds to x ≈ 3 then the student's solution is incorrect because:
⇒ 3(2(3) - 6) = 4(3) + 8
⇒ 3(6 - 6) = 12 + 8
⇒ 3(0) = 20
⇒ 0 = 20
write three hundred and ninety six million two hundred and forty two thousand and two as a numeral
Answer:
Below.
Step-by-step explanation:
396,242,002
Using the Factor Theorem, which of the polynomial functions has the zeros 4, [tex]\sqrt7[/tex], and [tex]-\sqrt{7\\}[/tex]?
f (x) = x3 – 4x2 + 7x + 28
f (x) = x3 – 4x2 – 7x + 28
f (x) = x3 + 4x2 – 7x + 28
f (x) = x3 + 4x2 – 7x – 28
Answer:
B
Step-by-step explanation:
According to the Factor Theorem, if (x - a) is a factor (where a is a zero) of the polynomial P(x), then P(a) must equal zero.
Our zeros are 4, √7, and - √7. Hence, when evaluating P(4), P(√7), and P(-√7), all must evaluate to zero.
Testing each choice, we can see that only choice B is true. That is:
[tex]\displaystyle \displaystyle \begin{aligned} f(4)&= (4)^3 - 4(4)^2 - 7(4) + 28 \\ &= (64) - (64) - (28) + 28 \\ &= 0 \stackrel{\checkmark}{=}0 \\f(\sqrt{7}) &= (\sqrt{7})^3 - 4(\sqrt{7})^2 - 7(\sqrt{7}) + 28 \\ &= (7\sqrt{7}) - (28) - (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0\\ f(-\sqrt{7}) &= (-\sqrt{7})^3 - 4(-\sqrt{7})^2 - 7(-\sqrt{7}) + 28 \\ &= (-7\sqrt{7}) - (28) + (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0 \end{aligned}[/tex]
In conclusion, our answer is B.
is a=3 b=4 c=2 and d=-2 find the value of 3b²c-2ad
And ac-bd/7
Step-by-step explanation:
remember : calculations are usually done from left to right, but multiplications and divisions come before + and -.
and exponents come before multiplications and divisions.
and minus a negative number always turns into plus a positive number.
so,
3b²c - 2ad = 3×4²×2 - 2×3×-2 = 96 - -12 = 96 + 12 = 108
and
ac - bd/7 = 3×2 - 4×-2/7 = 6 - -8/7 = 6 + 8/7 = 7 1/7 ≈ 7.143
In triangle ABC, the length of side AB is 12 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?
A.
3 inches
B.
34 inches
C.
31 inches
D.
15 inches
Answer:
12,04
Step-by-step explanation:
17^2 - 12^2 (pythagoras theorem)
=145
=square root of 145
=12.04 (rounded off)
Which of the following numbers is irrational?
1.45
V81
V 32
3
7
Answer:
3
Step-by-step explanation:
hope it helps have a great day
What does x equal?
2x + 5x – 4= 17
Answer:
x = 3
Step-by-step explanation:
2x + 5x - 4 = 17 (Given)
7x - 4 = 17 (Simplify)
7x - 4 + 4 = 17 + 4 (Add 4 on both sides)
7x = 21 (Simplify)
7x/7 = 21/7 (Divide 7 on both sides)
x = 3 (Simplify)
Please help me find the midpoint
[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2}_\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{6+9}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{15}{2},\dfrac{6}{2}\right)[/tex]
[tex]\\ \rm\hookrightarrow (x,y)=(7.5,3)[/tex]
Solve:
3x + 15 - 7x = -7
Answer:
5.5
Step-by-step explanation:
3x + 15 - 7x = -7
-4x + 15 = -7
-4x = -7 -15
-4x = -22
x = -22/-4 = 5.5
x-3(x+2)>4
solve for inequality
Answer:
[tex]x - 3(x + 2) > 4 \\ x - 3x - 6 > 4 \\ - 2x > 4 + 6 \\ - 2x > 10 \\ x = 10 \div ( - 2) \\ x = - 5[/tex]
hope it helps.stay safe healthy and happy.Help me out pleaseeeee
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Solve this equation for p:
P+1 / 2 = 3p+7/5
Answer:
p = -10
Step-by-step explanation:
[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions
6p + 14 = 5p + 5
6p - 5p = 5 - 15 subtract like terms
p = - 10
from the above given figure, DE parallel to BC. if AD = 3cm, DB = 4cm and BC = 14cm, find DE
DE \\ BC
So ;
[tex] \frac{AD}{AB} = \frac{DE}{BC} [/tex]
AD = 3cm , BC = 14cm , DB = 4cm
AB = AD + DB
AB = 3 + 4 = 7 cm
[tex] \frac{AD}{AB} = \frac{DE}{BC} \\ \frac{3}{7} = \frac{DE}{14} \\ DE = \frac{14 \times 3}{7} = \frac{42}{7} = 6[/tex]
So ; DE= 6 cmI hope I helped you^_^
The sum of 5 consecutive integers is 110 what is the 4th number of this sequence
Step-by-step explanation:
Let 5 consecutive no. be
n, n+1,n+2,n+3,n+4
n+n+1+n+2+n+3+n+4=110
5n+10=110
5n=110-10
5n=100
n=100/5
n=20
4th term is n+3=20+3=23
Thank You
6. Find the circumference and area of a circle with a diameter of 8 meters. Leave your answers in terms of . Write "pi" instead of the symbol
Answer: Area = 16*pi m^2
Circumference = 8*pi
Step-by-step explanation: The circumference and area of a circle are given by:
Area = pi*r^2
Circumference = 2 pi*r
Radius = Diameter/2, or 4 meters (m)
Area = 16*pi m^2 (50.27 m^2)
Circumference = 8*pi (25.13 m)
30. TRAVEL Before starting her vacation, Sari's car had 23,500 miles on the
odometer. She drives an average of m miles each day for two weeks. Write
an expression that represents the mileage on Sari's odometer after her trip.
Answer:
(23,500 +14m) miles
Step-by-step explanation:
the mileage on Sari's odometer after her trip =
(23,500 + 14 m) miles
guys help me it says to compare which slope has a greater rate of change and to “show all work” between
-9x + 3y =27 and -3x + 4y =24
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vsksvsksbs
gskbsksbkss
bsksbslblss
hskabsksb
bsksbs
This is line segments
Answer:
x = 7
Step-by-step explanation:
RT= RS+ST
70 = (7x +2 ) + (2x+5)
70 = 9x + 7
9x= 70 - 7
9x = 63
x= 63/ 9
x = 7
I hope I helped you^_^
Answer:
[tex]given \: that \: total \: length \: rt = 70 \\ \: then \: rs + st = rt \\ 7x + 2 + 2x + 5 = 70 \\ 9x + 7 = 70 \\ 9x = 63 \\ x = \frac{63}{9} \\ x = 7 \\ thank \: you[/tex]
find the value of y,if (-4+y)=-7
step by step
Answer:
(-4+y)=-7
-4+y=-7
by adding 4 on both sides, we get
-4+4+y=-7+4
y=-3
Find the distance between the points (-6, – 7) and (5. – 7).
Answer:
11
Step-by-step explanation:
d=√(5-(-6))²+(-7-(-7))²
d=√(11²+0²)
d=11
Answer:
[tex]\boxed {\boxed {\sf d= 11}}[/tex]
Step-by-step explanation:
We are asked to find the distance between 2 points. We will use the distance formula.
[tex]d= \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2[/tex]
In this formula, (x₁ , y₁) and (x₂ , y₂) are the points. We are given the points (-6, -7) and (5, -7). If we match the value and the corresponding variable, we see that:
x₁ = -6 y₁ = -7 x₂ = 5 y₂ = -7Substitute these values into the formula.
[tex]d= \sqrt{(5- -6)^2 + (-7--7)^2[/tex]
Solve inside the parentheses. Remember that two back-to-back negative signs become a plus sign.
(5 - - 6) = (5 +6) = 11( -7 - - 7) = (-7 +7) = 0[tex]d= \sqrt{ (11)^2+(0)^2[/tex]
Solve the exponents.
(11)² = 11 * 11 = 121 (0)² = 0*0= 0[tex]d= \sqrt{(121)+(0)[/tex]
Add.
[tex]d= \sqrt{121}[/tex]
[tex]d=11[/tex]
The distance between (-6, -7) and (5, -7) is 11.
122x193-12 then turn it into a fraction then divide whats my answer please help me! :)
Answer:
235.34
Step-by-step explanation:
122×193-12 = 23534
23534/100
23534/100 = 235.34
Can someone please help me!
Step-by-step explanation:
x1=6
y1=8
x2=1
y2=6
then ,
distance =
[tex] \sqrt{(6 - 1) {?}^{2} { + (8 - 6)}^{2} } \\ \sqrt{25 + [/tex]
select the correct answer
which function represents the inverse of function f below
Answer: D
Step-by-step explanation:
Find the total surface area of a hemisphere of radius 7 cm. (Take /pi a to be 3.142.)
will mark brainliest
The sum of 6 and x. What is the algebraic expression?
Answer:
6+x
Step-by-step explanation:
sum means add
6+x
Hey there!
When you see/hear the word “sum” in mathematics.. it usually means “to add”.
So, we are adding 6 from the unknown number (the x-value)
Answer: 6 + x
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Johhny Badoingas collects $0.12 from a 1000 people, how much does he have altogether. Now he has to share that total product with 100 people, how much does each person get?
Find total collected by multiplying the amount per person by number of people:
1000 x 0.12 = $120.00
Total collected = $120.00
Divide total collected by number of people:
120.00 / 109 = $1.20
Each person gets $1.20
(4+16)⋅8−2 please help
Answer:
158
Step-by-step explanation:
4+16 = 20
20×8-2= 158
the dot means multiply and u must first find the answer in the bracket
if there is no bracker, then u must start with multiply first
Step-by-step explanation:
4+ 16 is equal to 20
8-2 is equal to 6
20×6 is equal to 120
120 is ans