w - width
2.5w - length
84m - perimeter
w + w + 2.5w + 2.5w = 7w - perimeter
The equation:
7w = 84 divide both sides by 7
w = 12 m
length = 2.5w → 2.5w = 2.5(12) = 30 m
Answer: length = 30m; width = 12m(-19+7i)-(29+32i)=
in the form (a+bi)
700,000,000 + 10,000,000 + 1,000,000 + 40,000 + 2,000 + 200 + 7 in standared form
Answer:
711,042,207 is the standard form.
Step-by-step explanation:
The expanded form can be compressed by simply adding the numbers together. When you add each of these together, you get the number above.
Your gym teacher needs to put 96 students into 12 equal groups. Complete the equation to show which operation to use and how many students will be in each group. Then complete the sentence to explain your reasoning.
Answer:
8
Step-by-step explanation:
We will use the math operation division to find the answer. Division takes a total and divides it into equal amounts. We have a total of 96 and need equal amounts in to each of the 12 groups.
96/12=8 students per group
To divide 96 students into 12 equal groups, you perform a division operation. Using 96 / 12, we find that there are eight students per group.
To determine how many students will be in each of the 12 equal groups, you use division. The total number of students which is 96 will be divided by the number of groups which is 12. Therefore, the equation you need is 96 / 12 = eight students per group.
This division operation is similar to when five students working on a group assignment divide it into five equal parts. Each of the students completes one part. In our scenario, instead of five parts, we are dividing 96 students into 12 parts, hence creating equal groups for the gym class activity.
A hand of five cards is dealt from a normal pack of 52 cards, find the probability that there is no aces
heeeeeeeeellpp
what is the measure of xwz
Answer:
180
Step-by-step explanation:
The measure of Angles XWZ is 120 degrees.
To find the measure of XWZ, we need to consider the relationships between different angles in the diagram.
First, we know that angle XYZ is 50 degrees.
Since XY and YZ are tangent to circle O, angle XYZ is equal to angle OXZ. Therefore, angle OXZ is also 50 degrees.
Next, we know that the circumference of circle O is 120 degrees.
A full revolution around a circle is 360 degrees, so the ratio of the circumference of circle O to a full revolution is 120/360 = 1/3.
Since angle OXZ is one-third of a full revolution, it will be equal to one-third of 360 degrees, which is 120 degrees. So, the measure of angle XWZ is 120 degrees.
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The probable question may be:
In the diagram below XY and YZ are tangent to circle O . What is the measure of XWZ? As Angle XYZ is 50 degree and circumference of circle O is 120 degree.
A. 150 degree
B. 180 degree
C. 240 degree
D. 210 degree
Scaling Up Fabric Amounts This fabric list makes one Crazy Quilt. But you and a group of your friends are doing a service project and want to make 300 quilts. How much of each type of fabric will you need?
Answer:
So, the final amount of fabric needed is given by:
Red Silk = [tex]1556_{4}^{1}[/tex]
Blue Denim = [tex]1462_{2}^{1}[/tex]
Yellow Satin = [tex]1837_{2}^{1}[/tex]
Cotton Blend = [tex]1125[/tex]
Purple Felt = [tex]1293_{4}^{3}[/tex]
Step-by-step explanation:
We are provided with the amount of fabric needed to make ONE quilt.
i.e. Red Silk = [tex]\frac{83}{16}[/tex]
Blue Denim = [tex]\frac{39}{8}[/tex]
Yellow Satin = [tex]\frac{49}{8}[/tex]
Cotton Blend = [tex]\frac{15}{4}[/tex]
Purple Felt = [tex]\frac{69}{16}[/tex]
It is required to find the amount of fabric needed to make 300 quilts i.e. we need to multiply the given amount of fabric with 300.
So, the final amount of fabric needed is given by:
Red Silk = [tex]1556_{4}^{1}[/tex]
Blue Denim = [tex]1462_{2}^{1}[/tex]
Yellow Satin = [tex]1837_{2}^{1}[/tex]
Cotton Blend = [tex]1125[/tex]
Purple Felt = [tex]1293_{4}^{3}[/tex]
The height y (in feet) of a ball thrown by a child is
y = − 1/14x^2 + 6 x + 3
where x is the horizontal distance in feet from the point at which the ball is thrown.
How high is the ball when it leaves the child's hand? (Hint: Find y when x = 0)Your answer is y=
(b) What is the maximum height of the ball?(c) How far from the child does the ball strike the ground?
Answer:
3 ft129 ft84.5 ftStep-by-step explanation:
The given equation,
[tex]y=-\dfrac{1}{14}x^2+6x+3[/tex]
where,
x is the horizontal distance in feet and
y is the height of the ball in feet.
How high is the ball when it leaves the child's hand.
At the beginning when the ball leaves the hand of the child, the horizontal distance was 0, so putting x=0 we can get the height of the ball.
[tex]y_0=-\dfrac{1}{14}(0)^2+6(0)+3=3\ ft[/tex]
What is the maximum height of the ball.
As the quadratic function has negative leading coefficient, so it will open downwards and at the vertex we will get the maximum value of the function.
The coordinates of vertex are,
[tex]\left(-\dfrac{b}{2a},f\left(-\dfrac{b}{2a}\right)\right)[/tex]
Putting the values,
[tex]=\left(-\dfrac{6}{2\times -\frac{1}{14}},f\left(-\dfrac{6}{2\times -\frac{1}{14}}\right)\right)[/tex]
[tex]=\left(42,f\left(42\right)\right)[/tex]
Now,
[tex]y_{max}=f(42)=-\dfrac{1}{14}(42)^2+6(42)+3= 129\ ft[/tex]
How far from the child does the ball strike the ground.
At the end i.e when the ball touches the ground, the height of the ball is 0. So putting the value of y=0, in the equation,
[tex]\Rightarrow 0=-\dfrac{1}{14}x^2+6x+3[/tex]
[tex]\Rightarrow -\dfrac{1}{14}x^2+6x+3=0[/tex]
[tex]\Rightarrow -x^2+6x(14)+3(14)=0[/tex]
[tex]\Rightarrow -x^2+84x+42=0[/tex]
Solving the quadratic equation, we get
[tex]\Rightarrow x=-0.497,84.5[/tex]
As distance can not be negative, so only considering positive value,
[tex]x=84.5\ ft[/tex]
The ball is 3 feet high when it leaves the child's hand. The maximum height of the ball is 251 feet. The ball strikes the ground approximately 0.4 feet away from the child.
Explanation:To find how high the ball is when it leaves the child's hand, we need to calculate the height when x = 0. Plugging in x = 0 into the equation, we get y = -1/14(0)^2 + 6(0) + 3 = 3 feet. Therefore, the ball is 3 feet high when it leaves the child's hand.
To find the maximum height of the ball, we need to determine the vertex of the quadratic equation. The formula for the x-coordinate of the vertex of a quadratic equation in the form y = ax^2 + bx + c is given by x = -b/2a. In this case, the x-coordinate is x = -6/(-1/14) = 84 feet. Plugging x = 84 into the equation, we find y = -1/14(84)^2 + 6(84) + 3 = 251 feet. Therefore, the maximum height of the ball is 251 feet.
To find how far from the child the ball strikes the ground, we need to find the x-intercepts of the equation, which represent the points where y = 0. Setting y to 0 and solving for x, we get: -1/14x^2 + 6x + 3 = 0. Using the quadratic formula, we find two values for x: x = 14(6 ± √187) / (-2), which simplifies to approximately x = -0.4 and x = 85.4. The ball strikes the ground approximately 0.4 feet away from the child.
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Marta put $4.87 in her coin bank. Each day she added 1 quarter, 1 nickel, and 3 pennies. How much money was in her coin bank after 6 days? Describe the partten you used to solve
Answer:
$0.25+$0.05+$0.03=$0.33
$0.33•6=$1.98
$1.98+$4.87=$6.85
Step-by-step explanation:
Calculate s75 for the arithmetic sequence defined by
The formula of a sum of an arithmetic sequence:
[tex]S_n=\dfrac{a_1+a_n}{2}\cdot n[/tex]
We have n = 75 and [tex]a_n=67-2n[/tex].
Calculate the first and seventy-fifth term:
[tex]a_1=67-2(1)=67-2=65\\\\a_{75}=67-2(75)=67-150=-83[/tex]
Substitute:
[tex]S_{75}=\dfrac{65+(-83)}{2}\cdot75=\dfrac{-18}{2}\cdot75=-9\cdot75=-675[/tex]
Answer: -675The value of [tex]\rm S_{75}[/tex] is -675 and this can be determined by using the formula of the sum of n terms in the arithmetic sequence and the given data.
Given :
[tex]\rm a_n= 67-2n[/tex] --- (1)
The following steps can be used in order to determine the value of [tex]\rm S_{75}[/tex]:
Step 1 - Substitute the value of (n = 1) in the expression (1).
[tex]\rm a_1= 67-2(1)= 65[/tex]
Step 2 - Substitute the value of (n = 75) in the expression (1).
[tex]\rm a_{75}= 67-2(75)= -83[/tex]
Step 3 - Now, the formula of sum in an arithmetic sequence is given below:
[tex]\rm S_n=\dfrac{a_1+a_n}{2}\times n[/tex]
where n is the total number of terms, [tex]\rm a_1[/tex] is the first term, and [tex]\rm a_n[/tex] is the last term.
Step 4 - Substitute the values of the known terms in the above expression.
[tex]\rm S_{75}=\dfrac{65-83}{2}\times 75[/tex]
Step 5 - Simply the above expression.
[tex]\rm S_{75} = -675[/tex]
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Reggie bought a pair of hiking boots that were discounted by 30% off the original price. If the original price was $66.00, what was the discounted price of the hiking boots?
Answer:
He paid the discounted price of $44.22.
Step-by-step explanation:
66 x .33 = 21.78 off the original price
66 - 21.78 = 44.22 is what he paid
What are the first three terms of the sequence defined by the following equation?
an = 41 + (n- 1)5
please help <333
Answer:
B: 41, 45,51
Step-by-step explanation:
an=41 +(n-1)5
an: nth term41: first term in the sequence(n-1): position of term in the sequence, minus 15: common differenceTo find 1st term plug in 1 for n,
an=41+(1-1)5 ->41
For 2nd term
an=41+(2-1)5 ->46
3rd Term
an=41+(3-1)5 -> 51
Hope this helps.
Answer:
B.
Step-by-step explanation:
Which matrix represents this system of equations?
-2y + 7z = 10
9x + 5y = 1
2x + z = -5
The augmented matrix is ...
[tex]\left[\begin{array}{ccc|c}0&-2&7&10\\9&5&0&1\\2&0&1&-5\end{array}\right][/tex]
Step-by-step explanation:Missing variables essentially have a coefficient of zero. Coefficients are listed in the same order in each row, and the matrix is "augmented" by the column of constants on the right side of each equation.
Answer:
0, -2, 7, 10
9, 5, 0, 1
2, 0, 1, -5
Step-by-step explanation:
I took a test that has 25 questions. I scored 80 %. How many questions did I get wrong and how many did I get right?
Answer:
20 good answers, 5 bad.
Step-by-step explanation:
100% - 25 questions
80% - x (correct answers)
x = [tex]\frac{80*25}{100} = 20[/tex]
25 - x = 25 - 20 = 5 bad answers
The translation: (x, y) → (x - 7, y - 4) was performed on a triangle. How many units should the x-values move?
A) 7 left
B) 7 right
C) 7 down
D) 7 up
Answer:
I think c is the answer.
Step-by-step explanation:
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Part A Let m = the number of miles Mr. Parker drives for the day. Write an expression that shows the amount he will pay for the van
Answer:
The expression for the amount Mr. Parker will pay for the van be
x = 50 + 0.35m
Step-by-step explanation:
Let us assume that the amount Mr. Parker will pay for the van be x.
As given
Mr. Parker wants to rent a cargo van for a day.
It will cost the daily fee of $50 plus $0.35 per mile driven.
Let m = the number of miles .
Than the expression for the amount Mr. Parker will pay for the van.
x = 50 + 0.35m
Therefore the expression for the amount Mr. Parker will pay for the van be
x = 50 + 0.35m
Answer:
50+0.35m or 50+ .35m
your welcome, angel!
You may use a calculator to complete this test. if 1 egg and 1/3 cup of oil are needed for each bag of brownie mix, how many bags of brownie mix do you need if you want to use up all 3 eggs and 1 cup of oil?
Answer:
It would be three
Step-by-step explanation:
Select the intervals that must be tested. X < 5 x < 3 3 < x < 5 x > 3 x > 5
Answer:
5 and 33
Step-by-step explanation:
Answer:
x < 3
3 < x < 5
x > 5
Step-by-step explanation:
I got this right, so that's how I know this is the correct answer.
Jenny is a 7/9 gallon of water to water roses she uses 1/4 less water to water heaters how much water did Jenny use to water her herbs
simplify
√49^8
A. a√24.5
B. 7a^8
C. 7√5a^8
D.7a^4
Answer: (D) 7a⁴
Step-by-step explanation:
[tex]\sqrt{49a^8}[/tex]
[tex]=\sqrt{49} \ \cdot \sqrt{a^8}[/tex]
[tex]=\sqrt{7\cdot 7} \ \cdot \sqrt{a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a}[/tex]
Two on the inside of the radical (square root) symbol makes One on the outside. Simplify by looking for pairs.
[tex]=\sqrt{\underline{7\cdot 7}} \ \cdot \sqrt{\underline{a\cdot a}\cdot \underline{a\cdot a}\cdot \underline{a\cdot a}\cdot \underline{a\cdot a}}[/tex]
= 7 · a · a · a · a
= 7a⁴
96 penicals come in a box if 4teachers share 3boxes equally how many penicals does each teacher receive
Answer:
Step-by-step explanation:
Answer:
Each teacher gets 8 pencils
Step-by-step explanation:
What you do is take 96 and divide it by 3. After you do this you’ll get 36. If you divide 36 by 4 you’ll get 8.
Which rational expression is equal to a positive whole number when evaluated? A.)2^1/2
B.)8^1/3
C.)12^1/4
D.)15^1/5
Answer:
The Correct Answer is 8^1/3
Step-by-step explanation:
I had this question on OW and this was the correct answer.
Hope I helped:)
Have a great day!!!
Chapman’s brickyard sells bricks and blocks. A brick costs $0.38 and a block costs $1.56. The brickyard filled a $24.80 order, which contained 28 items
a. Write a system of equations that can be used to find the number of bricks and blocks in the order.
b. How many blocks were in the order?
Answer:
(a) A system of equations:
[tex]0.38x+1.56y = 24.80[/tex]
[tex]x+y = 28[/tex]
(b) Number of blocks were in the order is, 12
Step-by-step explanation:
(a)
Let x represents the number of bricks and y represents the number of blocks.
As per the given statement:
A bricks costs $ 0.38 and a block costs $1.56.
Total bricks costs = 0.38x and total block costs = 1.56y
The brickyard filled $24.80 order.
⇒ [tex]0.38x+1.56y = 24.80[/tex] ......[1]
Since, it contained 28 items.
⇒[tex]x+y = 28[/tex] ....[2]
Multiply equation [2] both sides by 0.38 we have;
[tex]0.38(x+y) = 0.38 \times 28[/tex]
Using distributive property: [tex]a\cdot (b+c) = a\cdot b + a\cdot c[/tex]
0.38x +0.38 y = 10.64 ......[3]
Subtract equation [3] from [1] to get x eliminated ;
[tex]0.38x+1.56y -0.38x -0.38y= 24.80 - 10.64[/tex]
Combine like terms;
1.18y =14.16
Divide both sides by 1.18 we have;
[tex]\frac{1.18y}{1.18} = \frac{14.16}{1.18}[/tex]
Simplify:
[tex]y = 12[/tex]
Substitutes this y value in equation [2] to solve for x;
x + 12= 28
Subtract 12 from both sides we get;
x +12-12 =28-12
Simplify:
x = 16
Therefore, a system of equations that can be used to find the number of bricks and the number of blocks in the order:
[tex]0.38x+1.56y = 24.80[/tex]
[tex]x+y = 28[/tex]
(b)
The number of blocks are in order(y), is 12.
Help me please Algebra two!
Answer:
Zeros: -3 odd mult.; 0 odd mult.; 2 odd mult.
Positive leading coefficient
Odd degree likely 3
Step-by-step explanation:
A polynomial graph has several features we look for to determine the equations.
The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity. Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial. The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.BRAINLIEST AND 50 POINTS!!!!!!
A jar contains 5 green, 3 black, and 2 red marbles. Brandi draws a marble from the jar and then puts it back. She then draws another marble. What is the probability that Brandi draws
2 green marbles_____? 2 red marbles_______? A black and green marble_____? A green and a red marble______?
Answer:
The answers are as follows:
2 Green = 25%
2 Red = 4%
1 Black 1 Green = 15%
1 Green 1 Red = 10%
Step-by-step explanation:
In order to find any of these, we first have to find the probability of pulling any of them individually. To find that, we simply divide the number of marbles by the total in the jar.
Green = 5/10 = 50%
Black = 3/10 = 30%
Red = 2/10 = 20%
Now to find any combination, simply multiply the percentages together. For instance, for 1 black and 1 green, multiply those percentages together.
Black * Green
30% * 50% = 15%
You can do this for any number of combinations
What is the y-intercept of the line graphed?
Please enter your answer as an ordered pair in the form (x,y)
Can someone explain how to get to answer B?
plss help look at all three pic i need 3 answers!!!!!
Answer:
The measure of <Q is 44.4 degrees. The measure of <T is 44.4 degrees These both mean that they are congruent. I hope this helps
Step-by-step explanation:
180-(98+37.6)=44.4
A recipe calls for 3/4 cups of butter. Wanda wants to make half of the recipe. How many cups of butter does she need
Answer:
3/8 cups of butte
Step-by-step explanation:
She wants half of the recipe so that means 1/2 of the butter.
So it is 3/4 * 1/2 = 3/8 cups of butter.
ASAP Please how to solve 27 points!
Answer:
88 ft^2
Step-by-step explanation:
To find the surface area of a rectangular figure
SA = 2(lw+lh+hw)
where l=length, w= width, h = height
let l=6, h=2, w=4
SA = 2(lw+lh+hw)
= 2 (6*4+ 6*2+ 2*4)
=2 (24+12+8)
=2 (44)
= 88
SA = 88 ft^2
[ Answer ]
88 Ft^2
[ Explanation ]
- Formula for area of a rectangular prism -
A = 2(w * l + h * l + h * w)
In other words:
Area = width times length + height times length + height times width * 2
- Width times length -
4 * 6 = 24
- Height times length -
2 * 6 = 12
- Height Times Width -
2 * 4 = 8
- Add -
24 + 12 + 8 = 44
- Multiple By 2 -
44 * 2 = 88
<> Arsenal <>
The original price of the water skis was $200. They are on sale for $150. What is the percent of discount?
Answer:
25%
Step-by-step explanation:
percent discount = [tex]\frac{discount}{original}[/tex] × 100%
discount = $200 - $150 = $50
percent discount = [tex]\frac{50}{200}[/tex] × 100% = 25%
Final answer:
To find the percent of discount, calculate the difference between the original and sale prices ($50), divide this by the original price, and multiply by 100 to get a 25% discount.
Explanation:
To calculate the percent of discount given on the water skis, you need to determine the difference between the original price and the sale price, and then find what percentage that difference is of the original price.
First, subtract the sale price from the original price to find the amount of discount:
Discount Amount = Original Price - Sale Price
Discount Amount = $200 - $150 = $50
Next, divide the discount amount by the original price and multiply by 100 to get the discount percentage:
Discount Percentage = (Discount Amount / Original Price) × 100
Discount Percentage = ($50 / $200) × 100 = 25%
Therefore, the percent of discount on the water skis is 25%.