Answer:
P(red) = .3
P(yellow) = .3
75 cubes in the box
Step-by-step explanation:
The probability has to add to 1
Since the number of red cubes equals the number of yellow cubes the probability has to be the same
.4 + x+x = 1
.4 +2x = 1
2x = 1-.4
2x = .6
Divide by 2
x = .6/2
x = .3
P(red) = .3
P(yellow) = .3
We know that
P(blue) = .4 = number of blue cubes/ total number of cubes
.4 = 30/total
total = 30/.4
total = 75
What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????
Answer:
Scale factor = [tex]\frac{4}{9}[/tex]
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
Volume ratio = [tex]\frac{\text{volume of small prism}}{\text{Volume of large prism}}[/tex]
= [tex]\frac{128}{1458}[/tex]
= [tex]\frac{64}{729}[/tex]
= 64 : 729
Scale factor = [tex]\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}[/tex]
= [tex]\sqrt[3]{\frac{64}{729}}[/tex]
= [tex]\frac{4}{9}[/tex]
Perimeter ratio = Scale factor
= [tex]\frac{4}{9}[/tex]
= 4 : 9
Surface area ratio = (Scale factor)²
= [tex](\frac{4}{9})^{2}[/tex]
= [tex]\frac{16}{81}[/tex]
= 16 : 81
Answer:Scale factor = 4/9
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
A farmer planted corn in a square field. One side of the field measures 32 yards.What is the area of the cornfield
Answer:
128 my answer needs to be long so im just gonna span a little
Identify the end behavior of the function f(x) = -6x5 + 7x3 – 5x + 8.
Answer:
Use the degree and the leading coefficient to determine the behavior.
Rises to the left and falls to the right
Step-by-step explanation:
If she used 3 ¾ cups of bread flour to make 1 pizza, what is ⅛ of the amount of bread flour she used?
Answer:
[tex]\frac{15}{32}[/tex] cups of bread flour.
Step-by-step explanation:
Multiply 3 [tex]\frac{3}{4}[/tex] by [tex]\frac{1}{8}[/tex]
[tex]\frac{1}{8} * 3 \frac{3}{4} = \frac{1}{8} *\frac{15}{4} =\frac{15}{32}[/tex]
*EASY 7TH GRADE MATH*
QUESTION ABOVE
• First answer shall be marked brainliest •
Find the surface area of the prism.
Answer:
2880
Step-by-step explanation:
The base is made up of two triangles and a square, if that makes sense. Finding the area of a triangle is (base x height)/2.
The base of the tiny triangle is 4 because there is 8 inches extra to the 10 inch square. 10 x 4 = 40.
Now we have a 10 by 10 square: 10 x 10 = 100.
So, the area of the trapezoid is 140. There are two trapezoids in this prism, so both bases are 280.
The surface area of the sides are solved by 12 x 50 = 600. Together, the sides equal 1200.
The top is solved by 10 x 50 = 500.
The bottom is solved by 18 x 50 = 900.
Add them all together: 280 + 1200 + 500 + 900 = 2,880
Solve for x: −2x + 5 < 7 plz help!
Answer:
x>-1
Step-by-step explanation:
Find the area of the shape shown below.
9
3
3
units?
Answer:
81
Step-by-step explanation:
9 x 3 x 3 is 81
Answer:
18
Step-by-step explanation:
Area=3x3=9 units
9+9=18
Plzz help me and I’ll help too!
Answer:
2; 2; 0; 1; Isosceles and Obtuse
Step-by-step explanation:
Susan started her homework at 1{:}59\text { p.M.}1:59 p.M.1, colon, 59, start text, space, p, point, m, point, end text and finished her homework 969696 minutes later. Susan had volleyball practice at 4{:}00\text{ p.M.}4:00 p.M.
Answer:
Step-by-step explanation:
Susan started her homework at = 1:59 pm
She took time = 96 mins
Time at which she had volleyball practice = 4:00 pm
So, time between her starting of homework and starting of volleyball is given by
1:59 pm to 4:00 pm = 2 hrs and 1 mins
2 hr 1 min = 120 mins + 1 min = 121 mins
But she took 96 mins to do her homework, so
Out of 121 mins, 96 mins she took for homework
Remaining time = 121 mins - 96 mins = 25 mins
Therefore, time Susan had between finishing her homework and the beginning of volleyball practice is 25 mins
2 (5y-4)>32
Solve the inequality for y.
Answer:
y > 4
Step-by-step explanation:
2 (5y-4)>32
Divide each side by 2
2/2 (5y-4)>32/2
5y-4 > 16
Add 4 to each side
5y-4+4 > 16+4
5y > 20
Divide each side by 5
5y/5 > 20/5
y > 4
Step-by-step explanation:
2 (5y - 4) > 32
10y - 8 > 32 (by expanding)
10y> 32 + 8
10y> 40
Y > 40/10
Y=4
Hope this helps..
help me for branitest pls
Answer:
The top two are 3 and 4
The bottom two are 6
Step-by-step explanation:
hope it works out
What is the answer ?
Answer:
12 cm
Step-by-step explanation:
tan B = opposite side / adjacent side
Tan B = AC / BC
.75 = 9 / BC
Multiply each side by BC
BC (.75) = 9
Divide each side by .75
BC = 9/.75
BC =12
Calculate the perpendicular
height of the triangle
pls helppp!!
Step-by-step explanation:
there's the solution ...i hope you can read
Shawna rented a bike from Arjun's Bikes. It cost $14 plus $3 per hour. If Shawna paid $32 then she rented the bike for how many hours?
Answers
1.9 hours
Step-by-step explanation:
14 plus 3 = 17
32 divide by 17 = 1.9 hours
1 hour 0.9 multiply by 60
1.9= 1 hour 54 minutes
the center of a circe is located at (1,3). The point (0,1) lies on the circle. Find the equation of the circle
Answer:
[tex](x-1)^{2}+(y-3)^{2} = 5[/tex]
Step-by-step explanation:
Given the general equation of a circle represented as:
[tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex] where:
(a, b) is the centre of the circle and r is the radius
Given the centre located a (1,3), to get the radius we will take the distance between the centre point of the circle the the point that lies on its circumference i.e (0,1).
Using the formula for calculating thee distance between 2 points, we have:
[tex]r = \sqrt{ (x2-x1)^{2}+(y2-y1)^{2}}[/tex]
x1 = 1, y1 = 3, x2 = 0, y2 = 1
[tex]r = \sqrt{ (0-1)^{2}+(1-3)^{2}}\\r=\sqrt{1^{2} +(-2)^{2}}\\r=\sqrt{1+4}\\r=\sqrt{5}[/tex]
Substituting this values of the centre and radius of the circle into the general equation of a circle we have:
[tex](x-1)^{2}+(y-3)^{2} = (\sqrt{5}) ^{2}\\(x-1)^{2}+(y-3)^{2} = 5[/tex]
This gives the required equation of the circle.
A circle has a radius of 3. An arc in this circle has a central angle of 60. What is the length of the arc ?
A race has 6 competitors. The winner gets a gold ribbon, the second-place finisher gets a blue ribbon, and the third-place finisher gets a red ribbon. In how many ways can the ribbons be awarded?
Answer:
120 ways
Step-by-step explanation:
Here, we want to calculate the number of ways in which the ribbons can be awarded.
There are 6 competitors and there should only be one first position. What this means is that there are 6 possible ways to become first and 6 possible ways to clinch the gold ribbon.
Now, looking at the second position, since one person already claimed the first, there would be only 5 of the competitors jostling for the second position. This means that the number of ways they can claim the blue ribbon is 5 ways
For the fourth position, there are only 4 competitors wanting to claim the red ribbon. This is because we already have winners for the first and second position.
The number of ways this can be done is thus 4 ways
Now the total number of ways the ribbons can be awarded would be 6 * 5 * 4 = 120 ways
Which is the degree of the equation
So the right answer is 7.
Look at the attached picture
Hope it will help you...
Good luck on your assignment
~Pragya
Compute probability of randomly selected 5 cards from deck of 52 cards and getting only one Jack.
Answer:
5/25
Step-by-step explanation:
Probability would be that you randomly select 5 cards so the selection goes above the fraction and the total amout of cards goes below.
Answer:
3243 / 10829 ≈ 0.2995
Step-by-step explanation:
There are 52 cards in a deck. 5 cards are selected, so the number of possible combinations is ₅₂C₅.
Of the 5 cards selected, 1 is a Jack and 4 are non-Jacks.
There are 4 Jacks in a deck. The number of ways of choosing 1 Jack from 4 is ₄C₁.
There are 48 non-Jacks in a deck. The number of ways of choosing 4 non-Jacks from 48 is ₄₈C₄.
So the probability is:
P = ₄C₁ ₄₈C₄ / ₅₂C₅
P = 4 × 194580 / 2598960
P = 778320 / 2598960
P = 3243 / 10829
P ≈ 0.2995
Trigonometry. This is an Tangent question.
Answer:
28/21
Step-by-step explanation:
tan= opposite/adjacent
helpppppp.....
im practicing for my upcoming exams and my teacher has given us practice papers but im struggling ... need step by step explanation so i can learn from it ..thnks
Part (a)
Answer: 42
-------------
Work Shown:
The angle ABC is 90 degrees since AB and BC are perpendicular. The two segments form a right angle. Therefore, the three pieces of the angle must add to 90
24+x+24 = 90
x+48 = 90
x+48-48 = 90-48 ... subtracting 48 from both sides
x = 42
=======================================
Part (b), subpart (i)
Angle q is congruent to the 135 degree angle because they are vertical angles.
Vertical angles are opposite angles formed by the X shape when two lines cross, and vertical angles are always the same measure.
=======================================
Part (b), subpart (ii)
Answer: 225
-------------
Reasoning:
The four angles p,q,r and the 135 all add to 360, so,
p+q+r+135 = 360
subtract 135 from both sides so we isolate the "p+q+r" and that leads to
p+q+r+135 = 360
p+q+r+135-135 = 360-135
p+q+r = 225
can someone please help me with this question it is a hard question for me to answer
Step-by-step explanation:
i think 120 degrees
to get vertical position
What are complementary angles
Answer:
Complementary angles are two angles that add up to 90° in total measurement.
Example:
Angle 1 is 34°. It's complement would be 56°.
[tex]90 -34=56[/tex]
Brainilest Appreciated.
I don’t know what to do
Answer:
It means line which is chioce 3 or C.
Step-by-step explanation:
Answer:line DC
Step-by-step explanation:because of the line with an arrow on each side. This demonstrates that DC is an entire line
A box tube is to be constructed out of 1 cm thick metal that has a width of 10cm, a height of 6cm, and a depth of 15 cm. Which of the following represents the volume of the metal used?
(1) 420 cm3 (3) 640 cm3
(2) 540 cm3 (4) 760 cm3
Answer:
(A)[tex]420$ cm^3[/tex]
Step-by-step explanation:
Width = 10cmHeight = 6cmDepth = 15 cmVolume of the solid box [tex]= 10*6*15=900$ cm^3[/tex]
Since the box tube is constructed out of 1 cm thick metal, we subtract 1cm on both sides of the width and height.
See the attached diagram for illustration.
Internal width of the box = 10-2=8cmInternal height of the box = 6-2=4cmHowever, the depth of the box remains unchanged, therefore:
Internal depth of the box =15cmInternal Volume of the box[tex]=8*4*15=480$ cm^3[/tex]
Volume of metal used = Volume of Solid Box - Internal Volume
=900-480
=[tex]420$ cm^3[/tex]
The correct option is A.
Skyler goes to a school which has 100 students in it. She asks 40 random students whether they like the new 8.30 am start to the day. 30 of them say no they don't like it. Use this information to estimate how many students in the whole school dislike the 8.30 am start.
Answer: 75 students
Step-by-step explanation:
Skyler goes to a school that has 100 students in it. She asks 40 random students if they like the new 8.30 am start to the day and 30 of them say no they don't like it. This shows that: 30/40 = 3/4 of the students don't like it.
Since the school has 100 students, the number of students that doesn't like the 8.30 a.m start will be:
= 3/4 of 100
= 3/4 × 100
= 3 × 25
= 75
PLEASE HELP
Select the correct measurement of the angle shown on the protractor.
A. 160°
B. 150°
C. 20°
D. 10°
Answer:
I think it is a 160o Angle
Step-by-step explanation:
PLEASE HELP ASAP!!!!!
Rewrite the expression 20x + 25 as the product of two factors.
Answer:
5 (4 x + 5)
That is the answer
5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.
Daniel has three shirts, two ties, and two pairs of pants. How many different outfits can Daniel make?
Answer:
Daniel can make 12 outfits
Step-by-step explanation:
3*2*2=12
Natalia bought 3/4 of a pound of flour to bake some cookies. She used 2/3 of that amount to bake her delicious chocolate chip cookies. How many pounds of flour did she used
Answer:0.5 Pound
Step-by-step explanation:
Given
Natalia bought [tex]\frac{3}{4}[/tex] of a pound of flour to bake cookies
She used [tex]\frac{2}{3}[/tex] of it
i.e. She use [tex]\frac{2}{3}\ of\ \frac{3}{4}\ \text{Pound}[/tex]
[tex]=\frac{2}{3}\times \frac{3}{4}[/tex]
[tex]=\frac{1}{2}\ \text{Pound}[/tex]
So she used [tex]\frac{1}{2}\ \text{Pound}[/tex] of flour.