Answer:
5 pounds of miniature chocolate and 2 butterscotch hard candies
Step-by-step explanation:
5 x $1.80 =$9 for 5 pounds of candy
2 x $1.00 =$2 for 2 pounds of candy
2 + 5 =7 pounds
7 pounds of candy using $11.00
If y varies jointly with x and z and y=40 when x=10 and z=9 find z when x =55 and y=105
Answer:
z = 189/44
Step-by-step explanation:
The "varies jointly" relationship can be expressed by ...
y = kxz
We can find k from the given values.
40 = k(10)(9)
40/90 = k = 4/9 . . . divide by the coefficient of k
Now we want to find z for given values of x and y. That can be found from ...
y = (4/9)xz
9y/(4x) = z . . . . . multiply by 9/(4x)
Filling in the new numbers, we have ...
z = 9·105/(4·55)
z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)
Find an equation of variation where y varies jointly as x and the square of z, and where y=70, when x=21 and z=5.
Answer:
[tex]y = 181.75xz^2[/tex]
Step-by-step explanation:
Given
y jointly varies to x and z^2
Required
Find the equation
We start by writing out the variation;
[tex]y\ \alpha\ xz^2[/tex]
Write as equation
[tex]y = kxz^2[/tex]
Substitute values of x,y and z
[tex]70 = k * 21 * 25^2[/tex]
[tex]70 = k * 21 * 25 * 25[/tex]
[tex]70 = k * 13125[/tex]
Divide both sides by 7
[tex]\frac{70}{13125} = \frac{k * 131251}{13125}[/tex]
[tex]\frac{70}{13125} = k[/tex]
[tex]187.5 = k[/tex]
[tex]k = 181.75[/tex]
Substitute k in [tex]y = kxz^2[/tex]
[tex]y = 181.75xz^2[/tex]
Under what conditions are we allowed to add or subtract radicals together?
Answer/Step-by-step explanation:
The conditions where we are allowed to subtract or add radicals together is when the radicands, which is the number inside the radical, of both radicals are the same. And also, when they both have the same indices, that is, for example, they have the same root.
Take for example the following radical expression:
[tex]4\sqrt{2} + 3\sqrt{2}[/tex]
Both radicals, [tex]4\sqrt{2} and 3\sqrt{2}[/tex], have the same radicand, [tex]\sqrt{2}[/tex] , and also the same index of square root.
Therefore, they are regarded as like terms, and can be added or subtracted together.
Thus,
[tex]4\sqrt{2} + 3\sqrt{2} = 7\sqrt{2}[/tex]
in a coin jar, there are 45 nickles. the number of pennies and nickles together equal the number of dimes. there are 2 quarters for every 3 nickles and 2 dimes for every quarter. how many are there of each type of coin?
Answer:
45 nickels
30 quarters
60 dimes
15 pennies
Step-by-step explanation:
Quarters:
45÷3=15
15×2=30
Dimes:
30×2=60
Pennies:
60-45=15
HOPE THIS HELPS!!!!!:)
Which of the following graphs represents a function that has a positive
leading coefficient? Check all that apply.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
B and C
Step-by-step explanation:
They have a positive slope
Answer:
It is B,C, and D. I got it wrong for this :,)
Guess the rule and write down the missing number: 1 5 6 11 _ 28
Answer:
1 5 6 11 17 28
Step-by-step explanation:
Hi there! :)
Answer:
17 is the missing number.
Step-by-step explanation:
The rule is to add the previous two numbers together to get the next number. For example:
1 + 5 = 6
5 + 6 = 11
Using this rule to solve for the missing number gets us:
6 + 11 = 17
We can check this work as well:
11 + 17 = 28.
Therefore, 17 is the missing number.
ABCD is not drawn to scale. Based on the angle measures given, ABCD
a parallelogram.
A. must not be
B. may or may not be
C. must be
The quadrilateral ABCD must be a parallelogram.
Properties of a parallelogramFor a parallelogram, the opposite angles and sides are always equal.
From the given quadrilateral, you can see that opposite angles are equal that is:
m<B = m<DBased on this, we can conclude that the quadrilateral ABCD must be
a parallelogram.
Learn more on parallelogram here: https://brainly.com/question/970600
Answer: Must Be
Step-by-step explanation:
I NEED HELP RIGHT NOW! What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary. I WILL MARK YOU THE BRAINLIEST!
Answer:
11
Step-by-step explanation:
You just add all the numbers and divide by the amount of numbers.
So its the sum divided by the amount of numbers added up.
Find the area of the shape shown below.
Answer:
6[tex]cm^{2}[/tex] (assuming the units is in centimetres)
Step-by-step explanation:
Hi, hope this helps!
Method 1:
Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:
- Half the sum of the parallel sides
- Multiply the perpendicular height between them
In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).
Method 2:
Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).
- Area of the square / rectangle = length x width = 2 x 2 = 4
- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2
Then we add the two areas together (4 + 2 = 6).
I hope this helped and I wasn't waffling on :)
Bluey
Answer:6
Step-by-step explanation:
Rhombus $ABCD$ has perimeter $148$, and one of its diagonals has length $24$. What is the area of $ABCD$?
Answer:
Area of the rhombus=840
Step-by-step explanation:
Perimeter of a rhombus=4a
148=4a
a=148/4
=37
a=37
The diagonal divides the rhombus into two congruent triangle,
Each congruent triangle= 37 x 37 x 24.
To get the area of the rhombus, we will find the area of one of the congruent triangle, then multiply by 2.
Using Hero's formula to find the area of a triangle, we will use the three sides
Area = √[ s(s-a)(s-b)(s-c) ]
where a, b, and c are the lengths of the three sides: a = 37, b = 37, and c = 24.
s=semiperimeter
s = (a + b + c) / 2
= (37 + 37 + 24)/2
= 98/2
= 49.
s=49
Substitute all the values into the formula
Area = √[ s(s-a)(s-b)(s-c) ]
= √[ 49(49-37)(49-37)(49-24) ]
=√[ 49(12)(12)(25) ]
=√[49(3600)]
=√(176,400)
= 420
Area of one triangle=420
Area of a rhombus=Area of one triangle×2
=420×2
=840
Answer:
840
Step-by-step explanation:
The four sides of a rhombus all have equal length, so if the perimeter is 148, then each side has length 148/4 = 37. Also, the diagonals of a rhombus bisect each other at right angles, so the diagonal of length 24 is cut into two pieces of length 12. We can show this information in a diagram (shown below.)
Applying the Pythagorean Theorem to any of the four right triangles in our diagram, we have
12² + x² = 37².
Solving this equation for positive x, we get x = √37² - 12² = √1369 - 144 = √1225 = 35. The length of the long diagonal is x + x = 70.
The area of a rhombus is half the product of its diagonals. In this case, that is 24 ∙ 70/2 = 12 ∙ 70 = 840.
In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects
Answer:
80 x 62.5% is 50.
Step-by-step explanation:
What is the length of the diagonal of a TV that measures 2.25 feet high and 4 feet wide?
Answer: Rounded, the diagonal is 4.6 feet
Step-by-step explanation: Use the Pythagorean Theorem: c² = a² + b²
Then take the square root of c² to find the length
2.25² =5.0625 This is a²
4² = 16 This is b² Add a² + b² to get c²
5.o625 + 16 = 21.0625 This is c²
√21.0625 = 4.589389938 This is the square root.
Round this to common measurements or "significant digits" 4.6 feet.
The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)
Hi
An inverse variation is of the form : f(x) = k/x where k is a number and x the variable.
In a inverse variation , the product of x*y is for all point always the same which is K
so 2*8 = 16 so K = 16 and f(x) = 16/x
if x = 3 then f(x) = 3 so : 16/x = 3 ; 3x = 16 ; x ⇒ 16/3
What is the value of the expression iºxi1xi2 xj3 xi4?
Answer:
The value of the given expression is - 1
Step-by-step explanation:
I believe you meant this expression to be iº [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴. If that is so, then we can assume that i = imaginary number, and solve for the value of the expression.
Anything taken to the power of 0 is 1, therefore we can simplify the expression as such,
1 [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... at the same time anything taken to the power of one, is simply the base value, so -
1 [tex]*[/tex] i [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... we know that multiplying values of like bases can be combined by adding their exponents, so let's apply that rule -
1 [tex]*[/tex] i¹⁰ ... let's break i¹⁰ into ( i² )⁵. i² is, in other words, - 1 applying the imaginary number rule. Respectively ( - 1 )⁵ = - 1, our solution.
Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour.
How much sugar should Liam use?
Explain why your answer is correct.
Answer:
2/3 cups of sugar
Step-by-step explanation:
Answer:
2/3 cups of sugar
Step-by-step explanation:
If 3 cups of flour: 1 cup of sugar
2 cups of flour: x cup of sugar
Cross multiply
3x = 2 × 1
3 3
x = 2/3
My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.
can someone please help? i don’t know how to solve this.
Answer:
Hey there!
We have the absolute value of x is greater than two.
Thus, to solve absolute value inequalities, we want to break the inequality down.
We break this down to
x>2
x<-2
Thus, we don't need to simplify this any further, and have our answer.
Hope this helps :)
Answer:
x >= 2 or x <= -2
Step-by-step explanation:
|x|>= 2
Means the absolute value of x is greater than or equal to two.
When we deal with absolute value, we can equivalently break into two cases
+x >= 2 => x >= 2
-x >= 2 => x <= -2
On the number line it looks like what is shown in the attached figure.
Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account? x + y = 6,000. 0.025 x + 0.015 y = 110. x + y = 6,000. 0.25 x + 0.15 y = 110. x + y = 6,000. 0.025 x minus 0.015 y = 110. x + y = 6,000. 2.5 x minus 1.5 y = 110.
Answer:
x + y = 6,000
0.025x - 0.015y = 110
Step-by-step explanation:
Let x and y = amount of money deposited in each account respectively
Total savings=$6,000
Therefore
x+y=6000
x account earns 1.5 percent interest, and y account earns 2.5 percent interest.
1.5% * y
=(1.5/100)y
=0.015y
2.5% * x
=(2.5/100)x
=0.025x
The interest in the account that earned 2.5 percent was $110.00 more than the other account.
This means the difference between 0.025x account and 0.015y account=110
0.025x-0.015y=110
x + y = 6,000
0.025x - 0.015y = 110
Answer: The answer is C: x + y = 6,000. 0.025 x minus 0.015 y = 110.
Step-by-step explanation:
did the quiz got a 100% on it.
Raymond normally has a snack consisting of ten 12-calorie crackers. How many 20-calorie cookies would he have to eat to consume the same number of calories?
Work Shown:
He eats ten 12-calorie crackers, so that is 10*12 = 120 calories total
If x is the number of 20-calorie cookies, then the total number of calories here is 20x. We want this to be 120, so,
20x = 120
x = 120/20 .... divide both sides by 20
x = 6
He must eat six 20-calorie cookies to get 120 calories total
Answer: 6 cookies
Step-by-step explanation:
First, multiply 10*12 to see how many calories he normally eats.
10*12 = 120
Then, divide by 20 to see how many cookies he can eat to keep the same number of calories.
120/20 = 6
Hope it helps <3
Convert [tex]\frac{1}{280}[/tex] to decimal number. What’s the length of the non-repeating part? What’s the length of the repeating block?
Answer:
Well to convert it into a decimal we do 1 / 280 which is 0.00357142857.
Well the lengh of the non repeating is only 3 numbers .003.
And the lenght of the repeating block is 6 numbers 571428
The following box plot shows points awarded to dance teams that competed at a recent competition: box plot with number line titled Points with 0 as the minimum, 65 as quartile 1, 87 as the median, 95 as quartile 3, and 100 as the maximum
Which dot plot best represents the box plot data?
Answer:
The first Quartile, since the minimum is 0 and maximum is 100, 65 is the closest to 50
Step-by-step explanation:
The dot plot that best represents the box plot is option D (see image 2).
Find out the minimum, maximum, and median value of the data set represented by the box plot, then determine which of the given dot plots has the same minimum, maximum, and median values.
The box plot showing points awarded to dance teams as sown in image one has the following values:
Minimum - 0Maximum - 100Median - 87Image two shows a dot plot that has the same minimum, median, and maximum values as that of the box plot we are given, therefore, the dot plot that best represents the box plot is option D (see image 2).
Learn more about box plot on:
https://brainly.com/question/14252896
Which of the following is most likely the next step in the series?
Answer:
C.
Step-by-step explanation:
Well if 1 is blue and 2 is tan and 3 is blue and across from 1.
Then 4 will be tan because it is across from 2 which is tan.
C.
Answer:
C
Step-by-step explanation:
It goes blue, blue pink, blue pink blue, so according to the pattern the next would be pink.
p.s. thank you so much for all the points!!!!! Like the other answer said brainliest is always appreciated. Here I am, question #2. You can award it to them now 8-D
-----------------> 10x - 3 - 2x = 4
Answer:
[tex]x=\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]10x-3-2x=4[/tex]
First, collect and rearrange the like terms.
[tex]10x-3-2x=4[/tex]
[tex]8x-3=4[/tex]
[tex]8x=4+3[/tex]
Then, solve the equation:
[tex]8x=4+3[/tex]
[tex]8x=7[/tex]
[tex]x=\frac{7}{8}[/tex]
So, the answer is [tex]x=\frac{7}{8}[/tex]. Hope my solution and explanation can help you. Thank you!
If you still cannot get the point, you can ask me anytime.
Answer:
x=7/8
Step-by-step explanation:
10x-3-2x=4
collect like term
8x-3=4
move constant to the right-hand side and change its sign
8x-3=4 into 8x=4+3
add up the number : 8x=4+3
8x=7 divide both sides of the equation by 8
x = 7/8
Does anyone know this
Answer:
I believe it's 220 in.
Step-by-step explanation:
area = base 1 + base 2 divided by 2 times the height
Hi . I need help with this question. Please show workings.
Answer:
6km/h
Step-by-step explanation:
[tex]speed \: = \frac{distance}{time} \\ 50m \: = 0.5km \\ 30s \: = 0.0833333 \: hours[/tex]
[tex]speed \: = \frac{0.5}{0.0833333} \\ speed \: = 6.0[/tex]
Answer:
6 km/hStep-by-step explanation:
Solution,
Distance travelled = 50 m
Time taken = 30 second
Let's find the speed in meter/ second
Speed = [tex] \frac{distance \: travelled \: }{time \: taken} [/tex]
plug the values
[tex] = \frac{50}{30} [/tex]
[tex] = \frac{5}{3 \: } \: meter \: per \: second[/tex]
Now,Let's find the speed in km/ hour
[tex] \frac{5}{3} \times \frac{3600}{1000} [/tex]
Reduce the numbers with G.C.F 3
[tex]5 \times \frac{1200}{1000} [/tex]
Reduce the numbers with GCF 5
[tex] \frac{1200}{200} [/tex]
Reduce the fraction with 200
[tex]6 \: kilometer \: per \: hour[/tex]
Hope this helps..
Best regards!
Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. Question 20 options: A) 180° B) 28° C) 56° D) 112°
Answer:
D) 112°
Step-by-step explanation:
Reflection is the process in which a given figure is flipped over a given line or point to produce its image. Thus changing the orientation of the initial figure. Rotation involves the turning of a figure with respect to an origin.
The given question involves composition of two reflections on intersecting lines l and m. When a given point or figure is reflected on two intersecting lines, the process is the same as a clockwise rotation of the point or figure twice the intersecting angle.
The reflection of the given point along l and then m will cause a 112° rotation.
Answer: D
Step-by-step explanation: I took the test and got it right! and also if you insert 112 degrees into the equation it is right
What is the value of this expression when a = 4 b = - 5 and c = - 7 (a + 2bc)/(3a) O A - 5 1/2 OB. - 1 2/3 Oc. 6 1/6 OD . 17 1/2
Answer:
[tex]\mathrm{C.}[/tex] 6 1/6
Step-by-step explanation:
(a + 2bc)/(3a)
Plug in the values.
(4 + 2(-5)(-7))/(3(4))
Evaluate.
(4 + 70)/12
74/12
37/6 = 6 1/6
Solve on the interval [0,2pi)
4 CSC x + 1 = -3
Answer:
[tex]$\frac{3\pi }{2}$[/tex]
Step-by-step explanation:
Solve for the interval: [tex][0, 2\pi)[/tex]
[tex]4 \csc(\theta)+1=-3[/tex]
[tex]4 \csc(\theta)=-4[/tex]
[tex]\csc(\theta)=-1[/tex]
[tex]$\frac{1}{\sin(\theta)} =-1 \Rightarrow \sin(\theta)=-1$[/tex]
We have [tex]\sin(\theta)=-1[/tex] for coterminal angles [tex]$\frac{3\pi }{2}+2\pi n$[/tex]
Once we just want the interval [tex][0, 2\pi)[/tex]
The solution is [tex]$\frac{3\pi }{2}$[/tex]
A bakery prepares boxes of desserts. Each box contains twice as many cookies as brownies. Which line on the graph depicts the number of cookies relative to the number of brownies?
Answer:
Last graph showing 10 cookies and 5 brownies.
Step-by-step explanation:
There are more cookies (y-axis) than brownies (x-axis), the slope is 2.0 so the line must be > 45 degrees.
Answer is the last graph which shows 10 cookies and 5 brownies.
Answer:
The graph that is closest to standing straight up.
Step-by-step explanation:
The bakery is preparing twice as many cookies than brownies, so for every brownie, the bakery bakes two cookies, which is represented in the graph.
BRAINLIEST TO FIRST RIGHT ANSWER The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
b) 1, -4, 6
Step-by-step explanation:
(x-y)^4=
(x-y)(x-y)(x-y)(x-y)=
(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=
(x^2-2xy-y^2)(x^2-2xy-y^2)=
x^4-4x^3y+6x^2y^2-4xy^3+y^4
Based on the graph, which of the following represents a solution to the equation? (4 points) A. (−2,−3) B. (3, 1) C. (1, 3) D. (3, 2)
Answer:
C (1,3)
Step-by-step explanation:
The only choice that appears on the line is 1 on the horizontal or X axis and 3 on the vertical or Y axis.