Answer:
36.75 square feet
Step-by-step explanation:
First, we can divide 73.5 into 6 to calculate area for each section. We get the answer of 12.25. Next, it says that the garden is 3x2 sections, so we multiply 12.25 by 3 to get a total of 36.75
The Julia wants to make a vegetable garden in her backyard length of the vegetable garden is 10.5 feet.
The garden is divided into 6 sections.
The dimensions of the garden are 3 sections long by 2 sections wide.
Each section is in the shape of a square.
The area of the vegetable garden is 73.5 square feet.
Let's denote the side length of each square section as "s". Since there are 6 sections, the area of the vegetable garden can be calculated as:
Total Area = Number of Sections × Area of One Section
73.5 = 6 × s²
Now, solve for the side length "s":
s² = 73.5 / 6
s² = 12.25
Taking the square root of both sides:
s = √12.25
s = 3.5 feet
Since each section is a square and has a side length of 3.5 feet, the dimensions of the garden are 3 sections long by 2 sections wide, which translates to:
Length = 3.5 feet/section ×3 sections = 10.5 feet
To know more about length here
https://brainly.com/question/2497593
#SPJ3
There are 12 students with brown hair and 45 students with black hair in a math class. What is the ratio of students with brown hair to students with black hair?
Answer:
57 Students........................
Mrs. Saunders bought a 19 pound turkey for Thanksgiving. The total cost of the
turkey was $25.65. What was the cost of turkey per pound?
Answer:
$1.35 per pound
Step-by-step explanation:
25.65/19=1.35
13 5/8 + 9 1/5 in lowest terms
Answer:
22 33/40
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP ASAPPPPPPPPPPPPPPPPP
Answer:
b. Kilograms
Step-by-step explanation:
Use the GCF and the Distributive Property to find the sum. 26+39
Answer:
65--but the method is the important part that the directions indicated.
Step-by-step explanation:
26 + 39
(2 × 13) + (3 × 13)
The GCF is 13.
Factor the 13 out; it's like Distributive Property in reverse.
13 (2 + 3)
13 (5)
65
26+39= 65, so we obtain the same answer as just adding, by using GCF and Distributive Property.
Answer:
13(2 +3)
Step-by-step explanation:
26 = 2·13
39 = 3·13
The greatest common factor is 13, so the sum can be written ...
26 +39 = 13(2 +3)
_____
Additional comment
Of course, the value of the sum is ...
13(2+3) = 13(5) = 65
Alternatively, the sum can be evaluated as ...
26 +39 = 26 -1 +1 +39 = (26 -1) +(1 +39) = 25 +40 = 65
Determine the largest integer value of x in the solution of the following inequality.
-5x + 6 > -5
Answer:
x=2
Step-by-step explanation:
-5(2)+6= -4
-4 is greater than -5
Three cubes each of side 3 cm each are joined end to end. Find the surface area of the resultant solid.
Answer:
126 cm^2
Step-by-step explanation:
The surface area of one cube face is (3 cm)^2 = 9 cm^2.
Each cube has 6 faces, but joining them together hides 4 of the faces. The surface area of the resultant solid is ...
(6·3 -4)·(9 cm^2) = 126 cm^2
a/a+2 = 3/5 ,, can someone give me the step by step solution to this? or at least explain it to me :’)
Answer:
Hey There!
Let's solve...
[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]
if a/b=c/d,then it will be a*d=b*c
Note: * means "×" or multiply
Let's continue...
[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]
[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]
So final answer is a=3
I hope it is helpful to you...Cheers!___________The value of a in the equation is 3
The equation is given as:
[tex]\frac{a}{a+2} =\frac 35[/tex]
Start by cross multiplying the above equation
[tex]5 \times a = 3 *(a + 2)[/tex]
Simplify each product
[tex]5a =3a + 6[/tex]
Collect like terms
[tex]5a -3a = 6[/tex]
Evaluate the difference
[tex]2a = 6[/tex]
Divide both sides by 2
[tex]a = 3[/tex]
Hence, the result of the equation is 3
Read more about equations at:
https://brainly.com/question/2972832
What is the final amount if 700 is increased by 4% followed by a further 3% increase?
Answer:
Answer: 749.84
Step-by-step explanation:
• For 4% increment
[tex] = { \rm{ \frac{(100 + 4)}{100} \times 700 }} \\ \\ = { \rm{ \frac{104}{100} \times 700}} \\ \\ = { \rm{728}}[/tex]
• For the 3% increment
[tex] = { \rm{ \frac{(100 + 3)}{100} \times 728}} \\ \\ = { \rm{ \frac{103}{100} \times 728 }} \\ \\ = { \rm{749.84}}[/tex]
the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.
Answer:
The amount of saving is Rs.1000.
Step-by-step explanation:
Solution :
Let the,
>> Expenditure = 3x>> Saving = 2xSo, solving for x.
[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]
[tex]{\dashrightarrow{\tt{x =500}}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]
Hence, the value of x is 500.
Thus,
>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000[tex] \rule{300}{1.5}[/tex]
. If x > 0 and cos 0 = 2/x , what is tan
in terms of x?
Answer:
Explanation:
A)wkt, tanx = perpendicular(p)/base(b) .....(1)
B)We are given tanx=5/12 .....(2)
C)On comparing the quantities we get that p=5 and b=12
D)We require the value of hypotenuse(h),
for this we apply the Pythagoras theorum i.e,
h
2
=
p
2
+
b
2
⇒
h
2
=
5
2
+
12
2
⇒
h
2
=25+144
⇒
h
2
=169
⇒
h=
√
169
⇒
h=13
Step-by-step explanation
well yeah thats the dang answer
This graph represents the design of a child’s slide what is the slope of the slide
Answer:
I think it is 1/2 because it goes up 1 over 2
7. I am currently 5 times as old as my daughter. In 6 years from now. I will be three times as old she will be then. Find our current ages.
i will mark that answer as brainlist who's answer was correct and can send me ASAP
Answer:
Daughter is 6 , mother is 30.
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
D. Associative property of addition
Step-by-step explanation:
The associative property of addition states "Changing the group of addends does not change the sum." This means it does not matter what order you use when adding the variables together, and PEMDAS does not apply.
The commentative property of addition states the order of the numbers when adding does not change the sum. While this is true for this equation, this is not the main focus as we are still adding the same way from lines 3-4 with 6+3, instead of 3+6
James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have?
Holly spent a total of $28 to buy candy for his soccer team. He bought chocolate that cost $2 per bag and gummy that cost $3 per bag. There are 12 people on the team and each person only get one snack. x = bag of pretzel y = bag of chip
How many bars of chocolate did Holly buy?
Answer:
8 chocolate bars
Step-by-step explanation:
Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax included?
Answer:
$11.55
Step-by-step explanation:
If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.
Which one weighs more a watermelon that weighs 7.5 kilograms or a pumpkin that weighs 12 pounds?
Answer : The watermelon weighs more
Step - by - step explanation :
First do . . . what is 7.5 kilograms into pounds ? 16.5347 ( rounded is 17 pounds )
Second compare . . . 17 > 12
Hope this helped ! :D
what are the zeros of the function of y=x^2-3x+2
Answer:
(x-1)(x-2)
x=1, x=2
Step-by-step explanation:
Verify the following identity:
[tex]\dfrac{1-\sin t}{\cos^2t}+\dfrac{1}{1-\sin t}=2\sec^2t[/tex]
We will simplify the left hand side of the equation to look like the right
[tex]\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}[/tex]
taking the LCM
[tex]\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}[/tex]
expanding the binomial in the numerator
[tex]\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
Since sin²x + cos²x = 1
[tex]\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
factoring out the 2 from the numerator
[tex]\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
1-sin(t) will cancel out
[tex]\displaystyle \frac{2}{cos^{2}(t)}[/tex]
since cos²(t) = 1/(sec²(t))
[tex]2 sec^{2}(t)[/tex]
which is equal to the right hand side of our given equation.
So we verified the identity!
Answer:
[tex]\rm 2 \sec {}^{2} T[/tex](Verified identity)
Step-by-step explanation:
Please refer to the attachment for calculations.
I hope this helps!
help me plss i need helppp
help me againnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:
(2m + 4) / 8 = w
2m + 4 = 8w
2m = 8w - 4
m = 4w - 2
Step-by-step explanation:
option A is correct.
hope this answer helps you dear! take care
the amount in Jamaican dollars one would get for US $200
200 US Dollar is 30837.86 Jamaican Dollar.
Rewrite the expression 3a^2b^3c^5 / 8x^4y^3z so that it has no denominator
What is the length of DF?
F
За
IT
E
G
a +6
D
DF =
Answer:
18
Step-by-step explanation:
Triangles FEG and DEG are congruent by SAS, so DG = FG.
a+6 = 3a
6 = 2a
3 = a
3a = 3·3 = 9 = FG = DG
DF = 9+9 = 18
??????????????????????????
Answer:
Top left and bottom one
Step-by-step explanation:
Find the roots of the equation
x^2 +7= 2x
express your answer in simplest a +bi form
[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]
[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]
a school is arranging a field trip. the school spends 814.98 dollars on passes for 32 students and 2 teachers. they also spend 309.76 dollars on lunch for just the students. how much money was spent on a pass and lunch for each student?
Answer:
35.00?
Step-by-step explanation:
Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
Learn more about Equation here:
https://brainly.com/question/29316263
#SPJ2
I don’t anderstands but i wanna help