Shelly would need 5 pounds of grass seed to plant in her backyard.
What is an area?Area is the amount of space occupied by a two dimensional shape or figure.
From the image:
Area of the backyard = (10 + 15) * (10 + 20) = 750 ft²
Area of triangle = (1/2) * 10 * 10 = 50 ft²
Area of small rectangle = (25 - 20) * (30 - 15) = 75 ft²
Area of shaded part = 750 - 50 - 75 = 625 ft²
1 pound of grass seed covers 125 ft², for 625 ft²:
Amount of seed = 625 ft² * 1 pound per 125 ft² = 5 pound
Shelly would need 5 pounds of grass seed to plant in her backyard.
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A land mass is roughly in the shape of a rectangle whose perimeter is 1280 miles. the width is 120 miles less than the length find the length and the width.
HELP!!!!
The expression 3b +2.2 is equal to for b = 1.8.
(Type a whole number or a decimal.)
Enter your answer in the answer box and then click Check Answer.
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What is the answer?
jacob wanted to bake some cookies the recipe called for 3 cups of flour but only measuring cup was 3/4 of a cup he decided to fill his measuring cup with flour four times because 3/4 is less than one cup Will he have exactly 3 cups of flour if he does that if not what does he need to do to get exactly 3 cups
Answer:
he will have exactly 3 cups
Step-by-step explanation:
1. 3/4 X 4/1 = 12/4
2. 12/4 = 3/1 = 3
Find the height of a rectangle if the base is 24 in and the perimeter is 102 in.
Answer:
The answer is A: 27 inches (not squared because it's not area)
Step-by-step explanation:
In a rectangle the angles are [tex]2y[/tex] and [tex]2x[/tex]
let's say [tex]24=x[/tex]
so then:
[tex]2x=48[/tex]
now to solve for [tex]y[/tex]
[tex]102-48=2y[/tex]
[tex]y=27[/tex]
The answer is A: 27 inches (not squared because it's not area)
Cooper's father is 120% of Cooper's height of his father measures 180 cm, how tall is Cooper?
Answer:
Cooper's height is 150 cm
Step-by-step explanation:
To find this answer you can divide 180 by 1.2 (1.2 is 120% in decimal form)
Hope that helps!
y=3x-11
y-3x=-13
Solving using systems of equations
Answer: There are no possible solutions because
If you were to plot these two equations on the graph you would notice they are parallel because both have the same slope (3x) but still have different intercepts. This means there are no possible solutions as in order to have a solution for x and y they need to intercept and the point of interception is the solution for x and y but that cannot happen in a system of equations that result in parallel lines ( they’ll never intercept)
Answer:
Ø
Step-by-step explanation:
These equations are parallel, meaning they have SIMILAR rate of changes [slopes]. To prove it, convert the second equation from Standard Form to Slope-Intercept Form:
[tex]\displaystyle y - 3x = -13 \hookrightarrow y = 3x - 13 \\ \\ \left \{ {{y = 3x - 13} \atop {y = 3x - 11}} \right.[/tex]
As you can see, both equations have a rate of change of 3, meaning we CANNOT obtain a solution here, therefore we have no solution.
I am joyous to assist you at any time.
Question 2 of 10
Which are the better statistics to use to compare the distributions? Assume
you know the mean, median, standard deviation, and IQR for each.
35 36 37 38 39 40 41 42 43 44 45
35 36 37 38 39 40 41 42 43 44 45
The better statistics which can be used to compare the given distributions are mean and standard deviation.
What is a z-core?A z-core is also referred to as a standard score and it can be defined as a statistical measure of the distance between a data point (raw score) and the mean, especially when standard deviation units are used.
In Mathematics, z-scores can either be negative or positive and it is generally calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the observed data or sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.In conclusion, the better statistics which can be used to compare the given distributions are mean and standard deviation.
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f(x) = x2. What is g(x)? y f(x) 5 g(x) (2, 1) x -5 5 -5 O A. g(x)= x2 4 O B. g(x)=1** x2 O c. g(x) = 4x2 OD. g(x)=(**) X 4
Answer:
g(x) = (1/4)x^2
Step-by-step explanation:
See attached image
The equation of the given graph is g(x) = (1/4)x². The correct answer is an option (A).
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function.
The graph of g(x) = (1/4)x² is a parabola that opens upwards and is wider than the graph of f(x) = x².
The vertex of the parabola is at the origin (0, 0), and the shape of the curve is determined by the coefficient of x², which is 1/4 in this case.
The graph of f(x) = x² is also a parabola that opens upwards, but it is narrower than the graph of g(x) = (1/4)x².
The vertex of the parabola is also at the origin (0, 0), but the curve is steeper because the coefficient of x² is 1, which is greater than 1/4.
Thus, the correct answer is an option (A).
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Juan has a mass of 50 kg. If he is running at a velocity of 2 m/s, how much kinetic energy does he have?
Answer:
100 J
Step-by-step explanation:
Kinetic energy is jointly proportional to mass and the square of the velocity.
KE = 1/2mv²
KE = 1/2(50 kg)(2 m/s)² = 100 J
Juan has a kinetic energy of 100 joules.
Find the rule. Solve for n.
Rule:
Step-by-step explanation:
The rule is add 5 to x
6+5=11
n=11
help pleeaseeee
Round to the nearest ten, hundred, or thousand:
1.) Round to the nearest thousand 6,471.
Estimate each sum, difference, or product by first rounding to the nearest hundred.
2.) 41,348 + 19,749 3.) 38,652 - 14,549 4.) 396 • 748
Solve the equations:
5.) t + 28 = 54 6.) 28x = 168 7.) 27 = y + 12
Simplify:
8.) 10 • 24 - (18 + 2) ÷ 4 - (9 - 7) 9.) (80 ÷ 16) x [(20 - 56 ÷ 8) + (8 • 8 - 5 • 5)]
Evaluate the exponential notation:
10.) 5 to the power of 4
11.) 6 cubed
Sort out:
12.) Natasha has $196 and wants to buy a computer for $698. How much more do you need?
13.) Toni has $406 in her checking account. He is paid $78 for a part-time job and deposits it into his checking account. What is the balance in your account now?
14.) A beverage company packed 228 cans of soda in 12-can cases. How many cartons were filled?
Answer:
Step-by-step explanation:
Round to the nearest ten, hundred, or thousand:
1. 6,471 to need to the nearest thousand is 6,000
Estimate each sum, difference, or product by first rounding to the nearest hundred.
2. 41,348 + 19,749 ==> 41,300 + 19,700 = 61,000
3. 38,652 - 14,549 ==> 38,700 - 14,500 = 24,200
4. 396 • 748 ==> 400 • 700 = 280,000
Solve the equations:
5. t + 28 = 5
- 28 -28
t = 26
6. 28x = 168
/28 /28
x = 6
7. 27 = y + 12
-12 - 12
15 = y or y = 15
Simplify:
8. 10 • 24 - (18 + 2) ÷ 4 - (9 - 7)
10 • 24 - 20 ÷ 4 - 2
240 - 5 - 2
240 - 7
233
9. (80 ÷ 16) x [(20 - 56 ÷ 8) + (8 • 8 - 5 • 5)]
(80 ÷ 16) x [(20 - 56 ÷ 8) + (64 - 25)]
5 x [(20 - 7) + (64 - 25)]
5 x [13 + 39]
5 x 52
260
Evaluate the exponential notation:
10. [tex]5^4[/tex]
11. [tex]6^3[/tex]
Sort out:
12. Natasha has $196 and wants to buy a computer for $698. How much more do you need?
698 - 196 = $502 <== final answer
13. Toni has $406 in her checking account. He is paid $78 for a part-time job and deposits it into his checking account. What is the balance in your account now?
406 + 78 = $484 <== final answer
14. A beverage company packed 228 cans of soda in 12-can cases. How many cartons were filled?
228/12 = 19 cartons filled <== final answer
Hope this helps!
1. 6,471 rounded to the nearest thousand is 6,000.
2. 41,348 rounded to the nearest hundred is 41,300, and 19,749 rounded to the nearest hundred is 19,700. Their sum rounded to the nearest hundred is 61,000.
3. 38,652 rounded to the nearest hundred is 38,600, and 14,549 rounded to the nearest hundred is 14,500. Their difference rounded to the nearest hundred is 24,100.
4. 396 rounded to the nearest hundred is 400, and 748 rounded to the nearest hundred is 700. Their product rounded to the nearest hundred is 280,000.
5. Subtracting 28 from both sides of the equation, we get t = 26.
6. Dividing both sides of the equation by 28, we get x = 6.
7. Subtracting 12 from both sides of the equation, we get y = 15.
8. 10 • 24 = 240. 18 + 2 = 20. 20 ÷ 4 = 5. 9 - 7 = 2. Therefore, the expression simplifies to:
240 - 5 - 2 = 233.
9. First, we need to evaluate the expressions inside the parentheses:
56 ÷ 8 = 7
8 • 8 = 64
5 • 5 = 25
20 - 7 = 13
64 - 25 = 39
Substituting these values into the expression, we get:
80 ÷ 16 x (13 + 39) = 5 x 52 = 260.
10. 5 to the power of 4 is 5 x 5 x 5 x 5, which equals 625.
11. 6 cubed is 6 x 6 x 6, which equals 216.
12. Natasha has $196 and needs $698 for a computer. To find out how much more she needs, we subtract the amount she has from the amount she needs:
698 - 196 = 502.
Natasha needs $502 more to buy the computer.
13. Toni's new balance in his checking account is the sum of his original balance and his new deposit:
406 + 78 = 484.
His new balance is $484.
14. The beverage company packed 228 cans of soda in 12-can cases. To find out how many cartons were filled, we divide the total number of cans by the number of cans in each case:
228 ÷ 12 = 19.
The company filled 19 cartons.
#CARRYONLEARNINGit said draw a line representing the rise and a line representing the run of the line. state the slope of the line in simplest form
Answer:
The slope of the line is 2/3
Step-by-step explanation:
Use the remainder theorem and synthetic division
to find the value of f(3) if f(x) = x^3 - 6x^2 + 13x - 11
VIEW IMAGE
Show the steps of the synthetic division!
Answer:
f(3) = 1
Step-by-step explanation:
The value of f(3) is told by the remainder theorem to be the remainder from division of f(x) by (x -3). That division is shown in the attachment. The remainder is 1, so ...
f(3) = 1
__
The number at upper left in the synthetic division table is the value of x for which we are evaluating f(x).
_____
Additional comment
When the polynomial is written in Horner Form:
f(x) = ((x -6)x +13)x -11
the coefficient of x at each point in the evaluation is the same as the number on the bottom row of the synthetic division. The result of the evaluation is the same as the remainder from the division.
Please Help!!!!
Kellie wants to cover part of the lawn with pavers to make a nice place to put a table and some chairs. This space will be a rectangle with an area of 108 square feet, and the rectangle will be 3 feet longer than wide. What will the dimensions of this rectangle be? In other words, what will the length and width be?
For the record, the formula for the area of a rectangle is A = LW.
8a) Clearly write out the equation you would use to answer the question.
8b) Answer the question. What will the dimensions be? Please write your answer as a complete sentence with appropriate units.
8a)
x = width
x+3 = length, since its 3 ft longer than the width
A = length*width
A = LW
A = (x+3)*x
A = x^2+3x
Set this equal to 108 since this is the area of the rectangle.
Answer: x^2 + 3x = 108=========================================================
8b)
x^2+3x = 108
x^2+3x-108 = 0
Use the quadratic formula with a = 1, b = 3, c = -108
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(3)\pm\sqrt{(3)^2-4(1)(-108)}}{2(1)}\\\\x = \frac{-3\pm\sqrt{441}}{2}\\\\x = \frac{-3\pm21}{2}\\\\x = \frac{-3+21}{2} \ \text{ or } \ x = \frac{-3-21}{2}\\\\x = \frac{18}{2} \ \text{ or } \ x = \frac{-24}{2}\\\\x = 9 \ \text{ or } \ x = -12\\\\[/tex]
Ignore the negative solution because we cannot have a negative width.
x = 9 is the width
x+3 = 9+3 = 12 is the length being 3 longer.
The rectangle is 12 ft by 9 ft to get an area of 12*9 = 108 sq ft, which confirms the answer.
Answer: 12 feet by 9 feet4 drinks at Starbucks cost $14 how much do 7 drinks cost?
Answer:
$24.50
Step-by-step explanation:
14/4=3.5
3.5x7=$24.5
Sence it is money you have to add a zero so it would be $24.50!
Felicia filled the bathroom sink with water. Is the amount more than
1 liter, about 1 liter, or less than 1 liter
Please help explanation if possible
(+6) + (-11) + (+5)+(-7)
Answer:
(+6) + (-11) + (+5)+(-7)
(6) + (-11) + (5) - (7)
6 - 11 + 5 - 7
(6 + 5) + (-11 - 7)
11 - 18
= -7
Answer:
-7
Step-by-step explanation:
6-11+5-7 is the simplified version. 6-11 is -5. 5-7 is -2. -5+-2 is -5-2 is -7.
what is the solution for 96 = 12d?
d = 8
Divide both sides of the equation by the same term
Answer:
d = 8
Step-by-step explanation:
Step 1: Divide both sides by 12.
[tex]12d/12 = 96/12[/tex] [tex]d=8[/tex]Therefore, the solution is 8.
HELP PLS
Find the Area for the following shapes
PLEASE MAR BRAINLIEST
Answer: THE TRIANGLE HAS AN AREA OF 25 IN ND THE OTHER SHAPE HAS AN AREA OF 156
Step-by-step explanation:
help me please i need it rn
[tex] \rm \: this \: month, \: Mikasa \: earned \: only \rm \frac{-3}{4} \:of \: his \: earning \: last \: month\: if \: his \: earning \: last \: month \: is \: 12,600 \: how \: much \: did \: he \: earn \: this \: month[/tex]
Step-by-step explanation:
Multiply 12600 by -3/4 to determine the amount earned.
*12600 can be put over 1.
Multiply:
[tex] \frac{12600}{1} \times \frac{ - 3}{4} = \frac{37800}{4} [/tex]
Simplify by dividing the fraction by 4:
[tex] \frac{ - 37800 \div 4}{4 \div 4} = \frac{ - 9450}{1} [/tex]
Mikasa has lost $9450.
please help answer and explanation im very confused.
Answer:
1) 18m²
2) 25cm²
Step-by-step explanation:
1)
a = ½ × b × ha = ½ × 9 × 4a = ½ × 36a = 18m²2)
a = ½ × b × ha = ½ × 10 × 5a = 5 × 5a = 25 cm²What is the length of CG?
Answer:
b. 19
Step-by-step explanation:
by similarity between two triangles BFG~BAC
measure of angle BFG = measure of angle BAC by using corresponding angles in parallelism measure of angle BGF = measure of angle BCA by using corresponding angles in parallelism the third angle commonso BF÷FA=BG÷GC63÷21=57÷GCtherefore GC=19Given x= -2, mark and place these six expressions
on the same number line below.
X, -X, |-1.5], -4, 15, 16||
Answer:
-4, x, |-1.5| , -x, |5|, |6|
Step-by-step explanation:
X = -2
-X = 2
|-1.5| = 1.5
|5| = 5
|6| = 6
Use the remainder theorem to find P(-2) for P(x)=-2x^4-2x^3+5x^2-3
Answer:
1
Step-by-step explanation:
When using the remainder theorem, all you do is plug in -2.
P(-2) = -2(-2)^4-2(-2)^3+5(-2)^2-3
= -2(16) - 2(-8) + 5(4) - 3
= -32 + 16 + 20 - 3
= 1
Answer:
P' (x) = -8x³ -6x² +10x
Step-by-step explanation:
Which statement describes characteristics of a convex lens?
A convex lens diverges light and curves inward.
A convex lens diverges light and curves outward.
Aconvex lens converges light and curves inward.
A convex lens converges light and curves outward.
Answer:
A convex lens converges light and curves outward.
Step-by-step explanation:
A convex lens converges light and curves outward.
We have given that,
A convex lens diverges light and curves inward.
A convex lens diverges light and curves outward.
A convex lens converges light and curves inward.
A convex lens converges light and curves outward.
We have to determine Which statement describes the characteristics of a convex lens.
What is the convex lens?
A convex lens is a converging lens. When parallel rays of light pass through a convex lens the refracted rays converge at one point called the principal focus.
A convex lens converges light and curves outward.
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A number divided by 7 is –35.
Answer:
-245
Step-by-step explanation:
multiply 7 and -35 to get your answer.
I hope this helped <3
Answer:
The number is (-245)
Step-by-step explanation:
Let the number be 'x'
x ÷ 7 = -35
[tex]\dfrac{x}{7}=-35\\\\\\Multiply \ the \ entire \ equation \ by \ 7\\\\x =-35*7\\\\x = - 245[/tex]
What is 6 + 2 Help please
Answer:
62
Step-by-step explanation:
6 + 2 is 62 yAAaY
Olivia needs to run 5 thousand
metres. The distance around the
track is four hundred metres. How
many times does she need to run
around the track?
In a scale drawing of a house, 1 inch represents 9 feet. Scale 1 in : 9 ft Answer the following. (a) The length of the real house is 27 feet. What is the length of the house in the scale drawing? [ inches X $ (b) In the scale drawing, the height of the house is 8 inches. What is the height of the real house? I feet
Answer:
See below.
Step-by-step explanation:
(a) 27 feet in reality = 3 inches in drawing (length)
(b) 8 inches in drawing = 72 feet in reality (height)