Answer:
The answer is $6
Step-by-step explanation:
20 divided by 30% is 6! So it’s therefore 6$
Bethany sells roses and petunias. The expression 3r+2.5p3r+2.5p3, r, plus, 2, point, 5, p gives the cost (in dollars) of r roses and p petunias. What is the cost of 7 roses and 8 petunias?
Please help me if you can!
Here is your answer
[tex]<b>z= 20 degrees</b>[/tex]
REASON:
[tex]<font color="blue" size=5>Concept used</font>[/tex]: The sum of adjacent angles of a parallelogram is 180 degrees.
So, in above given figure
[tex] 2z+16+124=180 [/tex] (measures of adjacent angles)
[tex]2z+140=180 [/tex]
[tex] 2z=180-140 [/tex]
[tex]2z=40 [/tex]
[tex]z= 40/2 [/tex]
[tex]z= 20 [/tex]
HOPE IT IS USEFUL
what is the value of the constant in the equation that relates the height and width of this rectangle?
would appreciate any help i could get :)
Answer:
Option C. [tex]2.5[/tex]
Step-by-step explanation:
we know that
In the rectangle of the figure
[tex]\frac{H}{W}=\frac{25}{10}=2.5[/tex]
so
[tex]H(W)=2.5W[/tex]
The constant is equal to [tex]2.5[/tex]
Answer:
2.5
Step-by-step explanation:
For every pizza Eric's family ate, eric ate2 of the 8 pieces. If Eric's family bought 2 pizzas, write the ratio of the total number of pieces Eric ateto the total number of pieces the family ate.
Answer:
4 over sixteen, or 4/16 is your answer.
Step-by-step explanation:
There are 2 pizzas, each of which contain 8 pieces. So, in all, there were 8 pieces. Eric ate two pieces from each pizza. So, 2+2=4. Thus, he ate four out of the 16 pieces. That brings us to our answer, 4/16.
I hope this helps you, have a wonderful day!
Final answer:
The ratio of the total number of pieces Eric ate to the total number of pieces eaten by his family when they bought 2 pizzas, is 1:4, meaning Eric eats 1 out of every 4 pieces.
Explanation:
For every pizza Eric's family ate, Eric ate 2 of the 8 pieces. If Eric's family bought 2 pizzas, to find the ratio of the total number of pieces Eric ate to the total number of pieces the family ate, we start by calculating the total pieces in 2 pizzas and the pieces Eric ate.
Each pizza has 8 pieces, so 2 pizzas have 8 * 2 = 16 pieces in total.
Since Eric eats 2 pieces per pizza, for 2 pizzas, he would eat 2 * 2 = 4 pieces in total.
Therefore, the ratio of the pieces Eric ate to the total pieces is:
4 (pieces Eric ate) : 16 (total pieces), which simplifies to 1:4.
This ratio means that for every piece of pizza Eric eats, there are 4 pieces total, indicating Eric eats 1 out of every 4 pieces.
After 2 years, $600 deposited in a savings account with simple interest had earned $120 in interest. What was the interest rate?
Answer:
300%
Step-by-step explanation:
600 / 120 = 300
Ivan wants to ship a box that is 6 in. Tall, 4 in. Wide, and 5 in. Long to his cousin, and used the calculation below. What was his error, and what is the correct volume?
Answer:
sample response He added instead of multiplying 20 and 6. The correct answer is 120 cubic inches.
Answer:
He added instead of multiplying 20 and 6. The correct answer is 120 cubic inches.
That is the correct answer
Step-by-step explanation:
Choose Yes or No to tell if the fraction 4 9 49 will make each equation true. 63 × □ = 28 63×□=28 18 × □ = 8 18×□=8 96 × □ = 42 96×□=42 36 × □ = 16 36×□=16
Answer:
YES
YES
NO
YES
Step-by-step explanation:
Assuming that the value is [tex]\dfrac{4}{9}[/tex].
Let's take each of the equations and check if the fraction makes the equation true.
When multiplying a whole number to a fraction, it is the same as multiplying the whole number to the numerator and dividing the total by the denominator.
[tex]63*\dfrac{4}{9}=28[/tex]
[tex]\dfrac{63*4}{9}=28[/tex]
[tex]\dfrac{252}{9}=28[/tex]
[tex]28=28[/tex] YES
[tex]18*\dfrac{4}{9}=8[/tex]
[tex]\dfrac{18*4}{9}=8[/tex]
[tex]\dfrac{72}{9}=8[/tex]
[tex]8=8[/tex] YES
[tex]96*\dfrac{4}{9}=42[/tex]
[tex]\dfrac{96*4}{9}=42[/tex]
[tex]\dfrac{384}{9}=42[/tex]
[tex]42.67=42[/tex] NO
[tex]36*\dfrac{4}{9}=16[/tex]
[tex]\dfrac{36*4}{9}=16[/tex]
[tex]\dfrac{144}{9}=16[/tex]
[tex]16=16[/tex] YES
Answer:
yes
yes
no
yes
hope this helps!!
Solve: 3x(x + 4) + 3(x + 4) = 0 A) 0 and -4 B) -1 and 4 C) -1 and -4 Eliminate D) 1 and 4
Answer:
The answer is C) -1 and -4
Step-by-step explanation:
Sorry i don't have the step by step explanation but that's the answer
True or false (Picture provided)
The answer is: True.
Why?A counterexample is a way that we can prove that something is not true about a mathematical equation or expression, it's also considered as an exception to a rule.
So:
[tex]sec^{2}x-1=\frac{cosx}{cscx}\\\\tg^{2}x=\frac{cosx}{\frac{1}{sinx}}\\\\\frac{1-cos2x}{1+cos2x}=cosxsinx[/tex]
Then, evaluating we have:
[tex]\frac{1-cos(2*45)}{1+cos(2*45)}=cos(45)*sin(45)\\\\\frac{1-0}{1+0}=\frac{\sqrt{2} }{2}*\frac{\sqrt{2}}{2}\\\\1=\frac{(\sqrt{2})^{2} }{4}\\\\1=\frac{2}{4}\\\\1=\frac{1}{2}[/tex]
Hence, we can see that the equation is not fulfilled, so, 45° is a counterexample for [tex]sec^{2}x-1=\frac{cosx}{cscx}[/tex] and the answer is true.
Have a nice day!
g A university administrator obtains a sample of the academic records of past and present scholarship athletes at the university. The administrator reports that no significant difference was found in the mean GPA (grade point average) for male and female scholarship athletes (P = 0.287). This conclusion implies that the maximum difference in GPAs between male and female scholarship athletes is 0.287. the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample if there is no difference in mean GPAs is 0.287. the GPAs for male and female scholarship athletes are identical, except for 28.7% of the athletes. the chance that a pair of randomly chosen male and female scholarship athletes would have a significant difference in GPAs is 0.287
Answer:
the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample if there is no difference in mean GPAs is 0.287
Step-by-step explanation:
When conducting hypothesis tests, the P value tells you the probability of the results happening by random chance. That's why we usually test against a very low alpha level, usually 1% or 5%.
Here P = 28%, so there is a 28% chance that if we take a sample of athletes, about 1 out of 4 times there won't be a significant difference in GPA between males and females.
Solve the equation (linear equation)
[tex]8^{2x+7} = (\frac{1}{32})^{3x}[/tex]
Answer: [tex]x=-1[/tex]
Step-by-step explanation:
By the negative exponent rule, you have that:
[tex](\frac{1}{a})^n=a^{-n}[/tex]
By the exponents properties, you know that:
[tex](m^n)^l=m^{(nl)}[/tex]
Therefore, you can rewrite the left side of the equation has following:
[tex](\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}[/tex]
Descompose 32 and 8 into its prime factors:
[tex]32=2*2*2*2*2=2^5\\8=2*2*2=2^3[/tex]
Rewrite:
[tex](\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}[/tex]
Then:
[tex](\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}[/tex]
As the base are equal, then:
[tex]-3(2x+7)=5(3x)[/tex]
Solve for x:
[tex]-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1[/tex]
Simplify the expression (4x − 3)(x + 5).
A. 4x2 − 17x + 15
B. 4x2 − 17x − 15
C. 4x2 + 17x + 15
D. 4x2 + 17x − 15
D using the foil method
Answer: [tex]4x^2+17x-15[/tex]
Step-by-step explanation:
To simplify the given expression we need to apply the distributive property in algebra.
The distributive property is given by :
[tex]a(b+c)=ab+ac[/tex]
The given expression:
[tex](4x- 3)(x + 5)\\\\=(4x-3)x+(4x-3)5\ \ \ \ \text{By distributive property}\\\\=4x^2-3x+20x-15\\\\=4x^2+(-3+20)x-15\ \ \ \text{Combining like terms}\\\\=4x^2+17x-15[/tex]
A cardboard box without a top is to have volume 62500 cubic cm. find the dimensions which minimize the amount of material used.
The dimensions of the box that minimize the amount of material used are approximately 39 cm by 39 cm by 39 cm.
To minimize the amount of material used, we need to minimize the surface area of the box.
Let's denote the dimensions of the box as x,y, and z, where x and y are the dimensions of the base (length and width), and z is the height.
The volume V of the box is given by:
[tex]\[ V = xyz \][/tex]
We're given that V = 62500 cubic cm.
The surface area A of the box (excluding the top) is given by:
[tex]\[ A = xy + 2xz + 2yz \][/tex]
To minimize the amount of material used, we need to minimize A subject to the constraint V = 62500 .
We can solve this problem using the method of Lagrange multipliers. First, let's define the Lagrangian function L as follows:
[tex]\[ L(x, y, z, \lambda) = xy + 2xz + 2yz + \lambda(62500 - xyz) \][/tex]
Now, we take partial derivatives of L with respect to x,y,z, and [tex]\( \lambda \),[/tex] and set them equal to zero:
[tex]\[ \frac{\partial L}{\partial x} = y + 2z - \lambda yz = 0 \]\[ \frac{\partial L}{\partial y} = x + 2z - \lambda xz = 0 \]\[ \frac{\partial L}{\partial z} = 2x + 2y - \lambda xy = 0 \]\[ \frac{\partial L}{\partial \lambda} = 62500 - xyz = 0 \][/tex]
Solving these equations will give us the dimensions that minimize the amount of material used.
However, this system of equations is quite complex to solve manually. Let's simplify the problem by recognizing that the dimensions that minimize the amount of material used will likely be those where the box is as close to a cube as possible. This means x=y to minimize the perimeter, and x=y=z to minimize the surface area.
So, let's find the cube root of 62500 :
[tex]\[ \sqrt[3]{62500} \approx 38.99 \][/tex]
Since [tex]\( 38^3 = 54872 \)[/tex] and [tex]\( 39^3 = 59319 \)[/tex], the closest perfect cube to 62500 is [tex]\( 39^3 \)[/tex]. Therefore, the dimensions of the box that minimize the amount of material used are approximately 39 cm by 39 cm by 39 cm.
A 5.5-foot-tall woman walks at 4 ft/s toward a street light that is 27.5 ft above the ground. what is the rate of change of the length of her shadow when she is 16 ft from the street light? at what rate is the tip of her shadow moving?
The scenario involves differentiating a proportional relationship between the woman's distance from a streetlight and the length of her shadow to determine the rate of change of the shadow's length and the speed of the shadow's tip.
Explanation:The question involves finding the rates of change in the scenario where a woman walks toward a streetlight and the effects on her shadow's length and speed. Let's denote the distance between the woman and the streetlight as x, the length of her shadow as y, and her height as h. The streetlight's height is given as H. Using similar triangles, we can establish the relationship (H - h) / y = H / (x + y). Differentiating both sides with respect to time, t, allows us to calculate the rates of change we're interested in.
To find the rate of change of her shadow's length when she is 16 feet from the streetlight, we can take dh/dt as 0 since her height is constant, dx/dt as -4 ft/s because she is walking towards the light and substitute into the derived equation after differentiating. Similarly, we calculate the rate at which the tip of the shadow is moving by adding the rate of the woman's movement to the rate of change of the shadow's length.
He model below can be used to find the quotient of one over two divided by one over six. What is the quotient?
1/2÷1/6
=
1/2*6/1
=
6/2
=
3
Answer:
Quotient would be 3.
Step-by-step explanation:
The model below can be used to find the quotient of one over two dividend by one over six.
We will rewrite the problem :
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{6}[/tex]
As we know when we divide the two fractions, we must invert the second fraction and put the sign of multiplication in place of division sign and multiply.
So now we can write the problem as :
[tex]\frac{1}{2}[/tex] × [tex]\frac{6}{1}[/tex]
= [tex]\frac{6}{2}[/tex]
= 3
Quotient would be 3.
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?
assuming simple interest rate.
[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &1 \end{cases} \\\\\\ A=300[1+(0.06)(1)]\implies A=300(1.06)\implies A=318[/tex]
Answer:
$318
Step-by-step explanation:
I was just in a zoom class that used this as an example
A party store sells large plates in packs of 12 and small plates in packs of eight. In order to have an equal number of both, what is the least amount of large plaate packs that would have to be purchased?
Answer:
The least amount of large plate packs that would have to be purchased is 24.
Step-by-step explanation:
To do this we have to find first multiplication of 8 that is equally divided by 12.
A person can buy large packs of plates in multiple of 12 only.
A person can buy {1,2,3,4,5,6,7,8,...}packs of plates and will purchase
{12,24,36 ,48,60,72,84,96,...}large plates.
A person can buy small packs of plates in multiple of 8 only.
A person can buy {1,2,3,4,5,6,7,8,9,10,11,12...}packs of plates and will purchase..
{8,16,24,32,40,48,56,64,72,80,88,96,...}small plates
Now we have to keep in mind that one has to purchase equal amount of plates..
A person can buy {24,48,72,96} plates and hence least amount of large plate packs that would have to be purchased is 24....
Three students are working to find the solution set of this system of equations: y = 3x + 10 2y = 6x – 4
Answer:
hope this helps!
Step-by-step explanation:
The solution set of the given system of equations y = 3x + 10 and 2y = 6x – 4 is empty, indicating that the lines are parallel and do not intersect.
Explanation:To find the solution set of the system of equations y = 3x + 10 and 2y = 6x – 4, we can solve the equations simultaneously by substitution or elimination method.
Using the substitution method:
Step 1: Substitute the value of y from the first equation into the second equation. 2(3x + 10) = 6x – 4.Step 2: Simplify the equation: 6x + 20 = 6x – 4.Step 3: Combine like terms and isolate the variable: 6x - 6x = -4 - 20.Step 4: Simplify further: 0 = -24.Step 5: Since 0 does not equal -24, the system of equations does not have a solution.Therefore, the solution set of the system of equations y = 3x + 10 and 2y = 6x – 4 is empty, indicating that the lines represented by the equations do not intersect and are parallel.
David sold 6 apple trees. He sold 5 of the apple trees to max. What fraction of the apple trees did david sell to max
Answer:
wouldn't it be 6/5 or 5/6 or 1.2
Step-by-step explanation:
What is the m∠N ? Can someone help me :)
Answer:
61°Step-by-step explanation:
Use the sine law:
[tex]\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}[/tex]
We have:
[tex]MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924[/tex]
Substitute:
[tex]\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}[/tex] cross multiply
[tex]6\sin(\angle N)=(18)(0.2924)[/tex]
[tex]6\sin(\angle N)=5.2632[/tex] divide both sides by 6
[tex]\sin(\angle N)=0.8772\to m\angle N\approx61^o[/tex]
What is the equation of the horizontal asymptote? f(x)=4⋅2^x−5
Question options:
y=0
y=4
y=−5
y=2
ANSWER
[tex]y = - 5[/tex]
EXPLANATION
The horizontal asymptote of a general exponential function,
[tex]f(x) = a {(b)}^{x} + c[/tex]
is y=c.
The given exponential function is
[tex]f(x) = 4{(2)}^{x} - 5[/tex]
By comparing the given function to
[tex]f(x) = a {(b)}^{x} + c[/tex]
we have c=-5, therefore the horizontal asymptote is
[tex]y = - 5[/tex]
Lisa purchased groceries worth $34 for a party. A gallon of milk costs $2.50, a gallon of ice cream costs $7.50, and a gallon of lemonade costs $3.00
If Lisa bought 4 gallons of milk, and 2 gallons of ice cream, how many gallons of lemonade did she buy?
Answer 1: 5
Answer 2: 3
Answer 3: 2
Answer 4: 4
Answer 2 she bought 3 gallons of lemonade
4x2.50=10
2x7.50=15
10+15=25
34-25=9
9 divided by 3=3
Answer:
Answer 2 is right.
Step-by-step explanation:
Given that Lisa purchased groceries worth $34 for a party.
A gallon of milk costs $2.50
No of gallons bought - 4
Cost of milk = [tex]2.50*4 =10[/tex]
a gallon of ice cream costs $7.50
Cost of ice creams = [tex]2*7.50 = 15[/tex]
, and a gallon of lemonade costs $3.00
Let lemonade purchased be x
Then total cost = [tex]10+15+3x[/tex]
This equals 34
[tex]25+3x =34\\3x=9\\x=3[/tex]
No of gallons of lemonade purchased =3
Answer 2 is right
What is measure of angle A?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
A = 53.13 degrees
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin A = 4/5
Take the inverse of each side
sin ^-1 sin A = sin ^-1 (4/5)
A = 53.13010
To the nearest hundredth
A = 53.13 degrees
Find two positive even consecutive integers such that the square of the smaller integer is 10 more than the larger integer
Answer:
the numbers are [tex]4,6[/tex]
Step-by-step explanation:
Let
x-------> the smaller even consecutive integer
x+2-------> the larger even consecutive integer
we know that
[tex]x^{2}=(x+2)+10[/tex]
solve for x
[tex]x^{2}-x-12=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]x^{2}-x-12=0[/tex]
so
[tex]a=1\\b=-1\\c=-12[/tex]
substitute in the formula
[tex]x=\frac{1(+/-)\sqrt{-1^{2}-4(1)(-12)}} {2(1)}[/tex]
[tex]x=\frac{1(+/-)\sqrt{49}} {2}[/tex]
[tex]x=\frac{1(+/-)7} {2}[/tex]
[tex]x=\frac{1(+)7} {2}=4[/tex] ------> the solution (must be positive)
[tex]x=\frac{1(-)7} {2}=-3[/tex]
therefore
the numbers are [tex]4,6[/tex]
Two positive even consecutive numbers are [tex]4,6[/tex].
Let [tex]x,\;x+2[/tex] are two positive consecutive even number.
According to question,
[tex]x^2=(x+2)+10[/tex]
[tex]x^2-x-12=0[/tex]
Solve the quadratic equation,
[tex]x^2-4x+3x-12=0\\x(x-4)-3(x-4)=0\\(x-4)(x-3)=0\\\; x-4=0\\ \; x-3=0\\[/tex]
So [tex]x=3 , 4[/tex].
Positive even number is the requirement so [tex]3[/tex] is not a even number so eliminate.
Hence value of [tex]x[/tex] is [tex]4[/tex].
Two positive even consecutive numbers are [tex]4,6[/tex].
Learn more about quadratic equation here:
https://brainly.com/app/ask?q=quadratic
A jar contains 38 marbles. It has 10 red, 22 black and 6 green marbles. Two marbles are drawn, the first is not returned before the second one is drawn. What is the probability that both marbles are black?
P(Both Black) = 11 / 19
P(Both Black) = 231 / 703
P(Both Black) = 231 / 722
P(Both Black) = 121 / 361
Answer:
The correct answer option is 231 / 703
Step-by-step explanation:
We are given that a jar has 38 marbles, out of which 10 are red, 22 are black and 6 are green. Two marbles are drawn and the first marble is not returned when the second one is drawn.
We are to find the probability that both marbles are black.
1st draw: P (black) = [tex]\frac{22}{38} =\frac{11}{19}[/tex]
2nd draw: P (black) = [tex]\frac{21}{37} [/tex]
P (Both Black) = [tex]\frac{11}{19} \times \frac{21}{37}[/tex] = 231 / 703
PLEASE HELP! I AM NEED IT DESPERATELY!!
Write the equation of the line in point-slope form.
Answer:
y= -2x/3+8
Step-by-step explanation:
find 2 points: (0,8) and (6,4)
substitute in y=ax+b
8=0a+b
b=8
4=6a+b
4=6a+8
6a=-4
a=-2/3
Find the area of a parallelogram that has a base of 24 feet and a height of 12 feet
you're answer would be two hundred eighty eight
Answer:
288
Explanation:
Hope this helps
Describe the translation of f(x) = |x|.
4 1\2 left, 1\2 unit down
1\2 unit left, 4 1\2 up
1\2unit left, 4 1\2units down
4 1\2 units left, 1\2 unit up
Answer:
the correct answer would be choice C
it went left 1/2 units and went down 4 1/2 units
Answer:
It's the third option.
Step-by-step explanation:
f(x) = |x| is shaped like a V with the vertex at the point (0, 0).
The translation is 1/2 unit to the left, 4 1/2 units down.
Given that the points (-5,7), (5,7),(5,1), and (-5,1) are vertices of a rectangle, how much stronger is the width than the length
Answer:
4 units
Step-by-step explanation:
The sides of the rectangle are parallel to the axes, so it is a simple matter to subtract coordinate values to find the dimensions.
Along the line y=7, the rectangle extends from -5 to 5, so has width 10.
Along the line x=5, the rectangle extends from 1 to 7, so has length 6.
The width is 10 - 6 = 4 units more than the length.
Answer: width=7 length =9
9-7=2
2 is the answer
A pyramid has a cross-sectional shapes, taken parallel to its base, that are _____ to one another
Answer: similar
Step-by-step explanation: apex
Answer:
The fill in the blank is the word similar.
Step-by-step explanation:
A pyramid has a cross-sectional shapes, taken parallel to its base, that are similar to one another.
When we do the cross-section of a pyramid parallel to its base, the cross-section formed will be in the same shape like the base.
Whenever a cross section is done parallel to the base of any pyramid, the resulting shape will be same like the base. As we move up in the pyramid and cross section it, the shape formed will be like the base but with smaller dimensions. But the shape will be the same as the base.