We know
[tex]\boxed{\sf Area=Length\times Width}[/tex]
Putting values[tex]\\ \sf\longmapsto 336=x(x+5)[/tex]
[tex]\\ \sf\longmapsto x^2+5x=336[/tex]
[tex]\\ \sf\longmapsto x^2+5x-336=0[/tex]
Using mid term split[tex]\\ \sf\longmapsto x^2-16x+21x-336=0[/tex]
[tex]\\ \sf\longmapsto x(x-16)+21(x-16)=0[/tex]
[tex]\\ \sf\longmapsto (x-16)(x+21)=0[/tex]
[tex]\\ \sf\longmapsto (x-16)=0\:or\:(x+21)=0[/tex]
[tex]\\ \sf\longmapsto x=16\:or\:x=-21[/tex]
Ignore negative value[tex]\\ \sf\longmapsto Length=x=16yd[/tex]
[tex]\\ \sf\longmapsto Width=x+5=16+5=21yd[/tex]
Option a is correctAn Olympic swimming pool is 25 meters long. How long is the pool in yards?
PLEASE HURRY
Select the correct answer.
Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.
Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?
A.
18x + 24y ≤ 225
x + y ≥ 10
B.
24x + 18y ≥ 225
x + y ≤ 10
C.
18x + 24y ≥ 225
x + y ≤ 10
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation:
"He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation: "He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
Where is the blue dot on the number line?
年十
?
7.5
____
Answer:
The blue dot is located at -3
If the each side of equalaterial triangle is a cm. what is the area?
Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]
Can someone help me please!
Answer:
[tex] \sqrt{ - 147} = \sqrt{147} \times \sqrt{ - 1} = 7i \sqrt{3} [/tex]
I hope I helped you ^_^
The answer ; √ –108 = √108 × √–1 = 6i √3
Divide...................
Answer:
Exact form 9/4 Mixed number form 2 1/4 decimal form 2.25
Step-by-step explanation:
Answer:2.25
Step-by-step explanation:
hope this helps
Multiply. Write your answer in the simplest form.
3/8×3/7×4
Answer:
9/14
Step-by-step explanation:
3/8 * 3/7 * 4/1
~Multiply
9/56 * 4/1
~Multiply again
36/56
~Simplify
9/14
Best of Luck!
Answer:9/14
Step-by-step explanation:
3/8×3/7=9/56
9/56×4/1
(divide the 56 by 4 and the 4 by 4)
9/14 × 1/1 = 9/14
hello, can i please get some please on this one ASAP! i will mark as BRAINLIEST!!
Answer:
[tex](x+6)(x-6)[/tex]
Step-by-step explanation:
Hi there!
The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].
We're given:
[tex]x^2-36[/tex]
This can be rewritten since 36 is a perfect square:
[tex]=x^2-6^2[/tex]
Use the difference of squares theorem:
[tex]=(x+6)(x-6)[/tex]
I hope this helps!
Answer:
(x-6)(x+6)
Step-by-step explanation:
x^2 -36
Rewriting
x^2 - 6^2
We know a^2 - b^2 = (a-b)(a+b)
(x-6)(x+6)
Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.
Answer:
y=x-7
Step-by-step explanation:
Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7
find the domain and range in the following condition.
a.R={(X,y):y=2x-3},range={3,5,9}
b.R={(X,y):y=4x+1}, domain={0,1,2}
Answer:
domain : {3,4,6}
range: {1,5,9}
150°
2x + 100°
X =
degrees
Answer:
x = 25°
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , then
2x + 100 = 150 ( subtract 100 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25°
Answer: x = 25°
Step-by-step explanation:
⇒2x + 100 = 150
⇒2x = 150-100
⇒x = 50/2
⇒x = 25
Reason (VOA) vertically opposite angles are equal.
please click thanks and mark brainliest if you like :)
Butter kruse made 522 glaze donuts and 323 chocolate covered donuts. They put the donuts in boxes. Each box holds 12 donuts. How many boxes do they need?
Answer:
71 boxes
Step-by-step explanation:
1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)
2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)
3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.
71*12=852 70*12=840
Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.
Please help explanation if possible
Answer:
y = 3x+6
Step-by-step explanation:
refer to the picture
Answer:
y = 3x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, so slope of parallel line is 3
Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)
y - 9 = 3(x - 1)
y - 9 = 3x - 3 ( add 9 to both sides )
y = 3x + 6 ← in slope- intercept form
At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F.
At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?
Answer:
The evening temperature is 4° F
Step-by-step explanation:
6° F below 0 = -6.
15° F. -6 + 15 is 9.
9° F. 5° F. 9 - 5 = 4
Plssss help me with this question!!!!
[tex]\\ \sf\longmapsto x+14+x=32[/tex]
[tex]\\ \sf\longmapsto 2x+14=32[/tex]
[tex]\\ \sf\longmapsto 2x=32-14[/tex]
[tex]\\ \sf\longmapsto 2x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
I need to buy enough fencing to go all around my rectangular garden. The garden is 20m long and 5m wide. How many meters of fencing will I need?
I need explanation with answer
Thank you!
50 m
Step One: Every rectangle, opposite side are equal sides.
Area=2, the area of this rectangle is 2*(l+b).
Step Two: Simplify the numbers: 2*(l+b) is also equal to 2*(20+5) and 2*(20+5) is equal to 2*25, so:
50 meters.
I hope I've helped!
solve for each of the following equations. /2x+3/=10
Answer:
/2x+3/=10
2x+3=10 or 2x+3=-10
2x=10-3 or 2x=-10-3
2x=7 or 2x=-13
X=7÷2 or X=-13÷2
X=3.5 or X=-6.5
name the property that the following statement illustrates 84+8=8+84
Answer:
the commutative property of addition :)
a box's volume set is 112 cubic inches. it has an open top. what is the length, width, and height?
hi
it a cube so it's height,length and width are the same.
if volume is 112 so one if this measure is : 112^(1÷3) =4,82
Find n.
help pleaseeee
Answer:
C
Step-by-step explanation:
Im pretty sure its c, i took this test not too long ago.
Help with this please!!!
Answer:
Sometimes true.
Step-by-step explanation:
If I is not the midpoint of HJ, then it may lie any where on the line HJ and may not lie on HJ.
So, sometime i.e when I lies on HJ, H , I and J are collinear
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A)
Step-by-step explanation:
Volume of a Rectangular Prism Formula: L x W x H
6 yd x 3 yd x 4 yd = 72 yd^3
enter the repeating digit
[tex] \frac{9}{11} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{9}{11}=0 .818181....[/tex]
__
= 0.81
If 3x + 6y = 7z, find x + 2y in terms of z.
Answer:
Does the answer help you?
1/4 (8x + 12) - 4x = -1
Answer: x = 2
Step-by-step explanation:
Given
(1/4) (8x + 12) - 4x = -1
Expand parentheses
(1/4) (8x) + (1/4) (12) - 4x = -1
2x + 3 - 4x = -1
Combine like terms
-2x + 3 = -1
Subtract 3 on both sides
-2x + 3 - 3 = -1 - 3
-2x = -4
Divide -2 on both sides
-2x / -2 = -4 / -2
x = 2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x=2
Step-by-step explanation:
Hope this helps
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table
Answer:
Step-by-step explanation:
B) data summary its in the words it sums up the answers to all the data you've collected over timew
If p+1/p - 7 then find the value of p³+1/p³
Answer:
322
Step-by-step explanation:
We have,
a^3+b^3=(a+b)^3-3ab(a+b)
p+1/p=7
Now,
p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)
=7^3-3(7)=343-21=322
45 laboures can repair a road in 24 days .how many labourers should be added to repair the road in 20 days
Answer:
here's your answer .Hope you will understand it.
Answer:
9
Step-by-step explanation:
hope it will help good day.
Work out an estimate for the value of 89.3X0.51divided by 4.8
Answer:
It is 9.5
Step-by-step explanation:
[tex] = (89.3 \times 0.51 )\div 4.8[/tex]
first solve the bracket:
[tex] = (45.543) \div 4.8 \\ = 9.488[/tex]
Choose the correct equation to use for the following story problem: A bakery has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven was used
Answer:
3 hour in my calculation
Answer:
3 hours. ......i think. ..........
