Answer:
200 grams
Step-by-step explanation:
Let us represent
The number of grams of
30% smarties = x
20% smarties = y
Hence:
x + y = 500
x = 500 - y
Hence:
30% × x + 20% × y = 24% × 500
0.3x + 0.2y = 120
Substitute 500 - y for x
Hence:
0.3(500 - y) + 0.2y = 120
150 - 0.3y + 0.2y = 120
Collect like terms
- 0.3y + 0.2y = 120 - 150
- 0.1y = -30
y = -30/0.1
y = 300
Solving for x
x = 500 - y
x = 500 - 300
x = 200
Hence,
The number of grams of
30% smarties = x = 200 grams
20% smarties = y = 300 grams
Therefore:
the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams
Rectangular prisms have 8 corners and 6 faces. What is the ratio of corners to faces in rectangular prisms?
4:3
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Find the sum of the first 30 terms for the given arithmetic sequence.
8, 1, -6, -13, ...
''A florist measures the lengths of roses. The lengths in inches of a dozen roses are given below'' I'm really confused.
Complete data:
13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box
Answer:
12.75 ___ 2 dots
13.0 ____ 3 dots
13.25 ___ 4 dots
13.5 ___ 3 dots
Step-by-step explanation:
Given the data :
13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75
To know the Number of dots for each data value, we obtain the frequency of each data value ;
Length of Rose____ Frequency
12.75 _________:__ 2
13.0 ____________ 3
13.25 ___________ 4
13.5 ____________ 3
The interior angle measure of a regular polygon is calculated with the following formula, where n represents the number of sides or interior angles of the regular polygon.
Determine the measure of the interior angles of a regular octagon and identify whether or not a regular octagon can be used as the only shape in a regular tessellation.
144°, no
135°, yes
144°, yes
135°, no
THE RIGHT ANSWER IS A 144°, no
Answer:
Step-by-step explanation:
The interior angle measure of a regular polygon is calculated with 180*(n-2)/n, where n represents the number of sides.
A regular octagon has 10 sides so it interior angle = 180*(10-2)/10
= 144
A tessellation is a tile pattern with the same polygon repeating. The polygon's interior angles must combine to form 360 degree. A regular octagon has interior angle of 144 degree which does not add to 360 degree. So a regular octagon cannot be used as the only shape in a regular tessellation.
The answer is 144°, no.
Answer:
Step-by-step explanation:
oct means 10
(n-2)/n * 180
= (10-2)/10 * 180
= 144°
144 + 144 = 288 < 360
144 + 144 + 144 = 432 > 360
so a regular octagon can NOT be used as the only shape in a regular tessellation.
ans is A
1/2 divided by 2 1/2
Answer:
1/5
Step-by-step explanation:
Answer:
The answer is 0.2
Hope this helps!
Brainliest??
Find the rate of change between:
(1, -1)
(2,4)
Answer:
rate of change=5
Step-by-step explanation:
Hi there!
The rate of change (or the slope) is calculated from two points with the formula (y2-y1)/(x2-x1)
we are given two points: (1,-1), and (2,4)
let's label the points, to avoid confusion:
x1=1
y1=-1
x2=2
y2=4
now substitute into the formula:
*note: remember that we are subtracting the negative numbers. When it's simplified, we add the numbers.
rate of change=(4--1)/(2-1)
simplify:
rate of change=(4+1)/(2-1)
rate of change=5/1
rate of change=5
Hope this helps!
Find the circumference for the circle. Use 3.14 for pi (10.5cm) round to the nearest hindered as needed.
It's 346.19 (rounded up)
Step-by-step explanation:
it can be simplified to: 3.14×(10.5x10.5)
Then just work down
3.14×110.25
346.185
and then round up bc of the 5
346.19
Please help me find the median to this table
In ΔBCD, the measure of ∠D=90°, CB = 53, BD = 45, and DC = 28. What ratio represents the sine of ∠B?
Answer: 28/53
Step-by-step explanation:
trust me bro
The ratio that represents the sine of ∠B is 15/17.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Since the triangle has a right angle, we can find the length of the unknown side using the trigonometric notations SOH CAH TOA where;
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
With respect to ∠B given that ∠D=90°,
BD is the adjacent side and CB is the hypotenuse side, DC is the opposite side
Hence ,Sin B = 15/17
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
Cubes having side lengths of 3/4 in. are used to fill the right rectangular prism shown.
Answer:
I also want this question ans but u also
Answer:
36
Step-by-step explanation:
on the 4 [tex]\frac{1}{2}[/tex] in side you can fit 6 cubes
on the 1 [tex]\frac{1}{2}[/tex] in side you can fit 2 cubes
on the 2 [tex]\frac{1}{4}[/tex] in side you can fit 3 cubes
6 x 2 x 3 = 36
the answer is 36
I’m just trynna get to 90% on this test before sunrise
Answer:
they are congruent
Step-by-step explanation:
Which number, best describes
withdrawing $100 from a
checking account?
A:
100
B.
- 100
C. +100
D.
| 100 |
Answer:
B
Step-by-step explanation:
It would be -100 because you would be withdrawing, not adding the amount, or staying with the same amount.
Answer:
B) -100
Step-by-step explanation:
Withdrawing means taking out, and subtracting is taking out a number, so the answer is B.
Lin charges $5.50 per hour to babysit. The amount of money earned, in dollars, is a function of the number of hours that she babysits.
Which of the following inputs is impossible for this function?
A:
-1
B:
2
C:
5
D:
8
What are the following algebraic equations? You need to post those if you want the answer.
Question 14
What is the absolute value of -8?
A. -8
B. O
C. 8
D. 16
Help plz
Answer:
C.8
| -8 | = 8
Explanation:
To find the absolute value of something, just find the complete opposite of a number. For example 25's absolute value is -25.
Hope this helps :)
What is the area of a sector of a circle with a radius of 6, and an arc measure of 160 degrees?
A. 8π/3
B. 16π/3
C. 16 π
Answer:
16 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = pi (6)^2
A = 36 pi
Then find the fraction of the circle the sector is
A circle is 360 degrees
160/360 = 4/9
Multiply the area by the fraction
4/9 * 36 pi
16 pi
Answer:
C: 16π
Step-by-step explanation:
Area of a sector =
[tex] = \frac{angle }{360} \times \pi \: r {}^{2} [/tex]
Elijah puts $550 in an account earning 8% simple interest annually. What is the total amount of money he will have in his account after 6 years, if no withdrawals or deposits are made?
Answer:
814?
Step-by-step explanation:
Simple interest is I = PRT, so you can multiply the 550, by 1.08 by 6 to get the total.
The principal is 550, the rate is 0.08 (using 1.08 because the prior gives interest, and using a whole 1 with it will be the total), and the time is 6 years because the interest is simple annual.
use 0.08 instead of 1.08 when solving for interest.
helppppppp please (3)
Answer:
please provide an image so we know what to solve
Tickets for the basketball game were sold at 4$ for adults and 2.50$ for students. If 320 tickets were sold for a total of 1100$, how many students tickets were sold? How many adult tickets were sold?
Answer: Number of students tickets were sold = 120
Number of adults tickets were sold = 200
Step-by-step explanation:
Let x= Number of adults, y = Number of students
As per given,
x+y=320 ...(i)
4x+2.5y=1100 ...(ii)
Multiply 2.5 on both the sides of (i), we get
2.5x+2.5y=800 ...(iii)
Subtract (iii) from (ii), we get
1.5x=300
[tex]x=\frac{300}{1.5}\\x=200[/tex]
From (i) y= 320-200 = 120
Hence, Number of students tickets were sold = 120
Number of adults tickets were sold = 200
Find the value for the given variables. Give the variables in simplest radical form. (square root form)
Answer:
Step-by-step explanation:
for y
take 60 degree as reference angle
using sin rule
sin 60=opposite /hypotenuse
[tex]\sqrt{3}[/tex]/2=11
22[tex]\sqrt{3}[/tex]/
22=y
for x
take 60 degree as reference angle
using cos rule
cos 60=adjacent/hypotenuse
1/2=x/11[tex]\sqrt{3}[/tex]
2x=11[tex]\sqrt{3}[/tex]
x=11[tex]\sqrt{3}[/tex]/2
x=9.52
x=10
Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?
At a particular school 10% of children travel by bus.If this represent 120 children how many children attend the school?
Answer:
Total number of students= 1,200
Step-by-step explanation:
Giving the following information:
Proportion of students= 10%
Number of students that travel by bus= 120
To calculate the number of students that attends school, we need to use the following formula:
Total number of students= Number of students that travel by bus / proportion of students
Total number of students= 120 / 0.1
Total number of students= 1,200
123
30°
у
Find the values of x and y. Write your answers in simplest form.
x =
y=
Answer:
[tex]y=6\sqrt{3}[/tex]
[tex]x=18[/tex]
Step-by-step explanation:
[tex]Sin30=\frac{9}{12\sqrt{3} }[/tex]
[tex]1/2=y/12\sqrt{3}[/tex]
[tex]y=6\sqrt{3}[/tex]
[tex]tan30=y/x[/tex]
[tex]x=y/tan30=x=\frac{6\sqrt{3} }{1/\sqrt{3} }[/tex]
[tex]x=18[/tex]
------------------------
hope it helps...
have a great day!
Mr. Jones has a box that is a right rectangular prism, It has a height of 2 inches, a width of 3 inches, and a volume of 30 cubic inches. How many inches long is Mr. Jones' box? *
First you do the 2x3=6 then after that you do 6/30=5
01. An atom that has lost or gained electrons becomes a (an) 1. An atom that has lost or gained electrons becomes a (an) O proton O electron O ion
Answer:
O ion
Step-by-step explanation:
Well, when electrons are added or subtracted from an atom, there is a change and it becomes an ion.
Answer:
an atom is a small particle they can take part time n chemical reaction
The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourth
person's age?
OA. 32
OB. 34
ОО
C. 35
D. 36
E. 40
Answer:
B. 34
[tex]let \: sum \: of \: ages \: of\: 3 \: people \: be \: x \\ 42 = \frac{x}{3} \\ x = 126 \\ let \:age \: of \: fourth \: person \: be \: y \\ 40 = \frac{x + y}{4} \\ 160 = x + y \\ 160 = 126 + y \\ y = 34 \\ = 34 \: years[/tex]
Tom has some marbles in two bags. In one bag he has 3 yellow, 2 green and 1 red marble. In the other bag he has 3 yellow, 3 green and 3 red marbles. If Tom takes one marble out of each bag, how probable is it that neither one is yellow?
Answer:
1 /3
Step-by-step explanation:
Bag 1 :
Yellow = 3 ; green = 2 ; red = 1
Total = 6
P(not yellow) = (2 +1) / 6 = 3/6 = 1/2
Bag 2 :
Yellow = 3 ; green = 3 ; red = 3
Total = 9
P(not yellow) = (2 +3) / 9 = 6/9 = 2/3
P(neither yellow from the two bags) = 1/2 * 2/3 = 2 /6 = 1/3
Ben and Jerry both have 7 numbers in their data set. Ben's average of his data set is 9. If Jerry average is 2 more than Ben, what does Jerry's data points have to sum to be
Answer:
Jerry's data points have to sum to be 77.
Step-by-step explanation:
We are given that
Ben and Jerry both have total numbers in their data set=7
Average of Ben's data set=9
Average of Jerry's data set=9+2=11
We have to find the Sum of Jerry's data points.
We know that
Average of data=Sum of numbers/Total number of data points
Using the formula
Average of Jerry' data =Sum of numbers in data/7
11=Sum of numbers in data/7
Sum of numbers=[tex]11\times 7[/tex]
Sum of numbers=77
Hence, sum of Jerry' data points=77
17. A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters?
Answer:
28.27
Step-by-step explanation:
Formula to find the total surface area is
2pi · r · h + 2pi r^2
the radius is 3cm
2pi · 3 · 10 + 2pi · 3^2
Tammy knits blanket and scarves. On the first day of a craft fair, she sells 2 blankets and 5 scarves for $104
Answer:
Cost of Blanket = 32
Step-by-step explanation:
Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.
So, Day 1 : 2b + 5s = 104 (i) , Day 2 : 3b + 4s = 128 (ii)
Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get
6b + 15s = 312 ,
(-)6b + (-)8s = (-)256
By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .
Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32
can someone help me solve this equation and explain
Answer:
C
Step-by-step explanation:
Plug in the numbers in each equation to see if it fits. C is the best option