Answer:
To make a gallons,
Ms. O'Brien needs
12 8/10 cups of water or 12.8 cups of water
3 1/5 cups of water or 3.2 cups of vinegar
Step-by-step explanation:
Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?)
She mixes 8 cups of water with 2 cups of vinegar.
Hence: The total number of cups for the cleaning mixture = 8 cups of water + 2 cups of vinegar = 10 cups
If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add?
Note that: There are 16 cups in a gallon
Hence:
For number of cups of water:
10 cups of cleaning mixture = 8 cups of water
16 cups of cleaning mixture = x
Cross Multiply
10x = 16 × 8
x = 16 × 8/10
x = 12 8/10 cups of water or 12.8 cups of water
For the number of cups of vinegar
10 cups of cleaning mixture = 2 cups of water
16 cups of cleaning mixture = x
Cross Multiply
10x = 16 × 2
x = 16 × 2/10
x = 3 1/5 cups of water or 3.2 cups of vinegar
Therefore, to make a gallon
Ms. O'Brien needs
12 8/10 cups of water or 12.8 cups of water
3 1/5 cups of water or 3.2 cups of vinegar
Find the values of x and y. State which theorems you used
Answer:
Step-by-step explanation:
5/6.
use that alternate exterior angles are congruent
3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x
use that lines form 180°
y+ 5x-64= 180
y= 180 +64 -5*32; y= 84
7/8.
use that alternating exterior angles are congruent
x=86
use that same side exterior angles are supplementary
x+y = 180; y= 180 -86; y= 94
9/10.
use that vertical angles are congruent
2y=59; y= 59/2; y= 29.5
use that alternate exterior angles are congruent
3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21
A company makes fish tanks in the shape of right rectangular prisms. The company has an order for a fish tank that must be exactly 4 feet long and hold at least 35 cubic feet of water. The company wants to save money on materials and will make the tank with the smallest surface area possible. The dimensions of the tank must be in whole foot increments and a top is included in the construction What dimensions for the width and height of the fish tank will satisfy the requirements
The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .
What is dimension?Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.
According to the given problem,
let , b = is the width of the fish tank
h = is the height of the fish tank given that , hold at least 35 cubic feet of water .
so ,
4×b×h ≥ 35
⇒ h ≥ 35/4b
now , surface area of the fish tank
⇒ 4b + 2× 4h + 2× bh
now substitute the value of h
here
⇒ ≥ 4b +70/b + 35/2
⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )
therefore ,
= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,
h = 35 / 4 × 4 = 2.1875 round off h = 2
so , the minimum surface area of fish tank is
⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48
hence , the height and the width of the fish tank is 2 and 4 .
learn more about dimension here :brainly.com/question/27022535
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2x+15=33 solve for x
Answer:
x = 9
Step-by-step explanation:
2x + 15 = 33
2x = 33 - 15
2x = 18
x = 18/2 = 9
Answer:
x=9
Step-by-step explanation:
2x+15=33
Subtract 15 from each side
2x+15-15=33-15
2x=18
Divide by 2
2x/2 = 18/2
x = 9
what is the slope of the line through the points (0,2) and (3,-6)
Answer:
-8/3
Step-by-step explanation:
You can find the slope when given two points
m = (y2-y1)/(x2-x1)
= ( -6-2)/ (3 -0)
= -8/3
PLEASE ANSWER URGENT
Answer:
D
Step-by-step explanation:
4) 9i(5) + 5i(3)– 10i
Answer:
50i
Step-by-step explanation:
NEED HELP ASAP!!!!!The perimeter of a ractangle is 176 ft. If the ratio of the length to the width is 9 : 2, what is the length of each side?
(P = 2l + 2w)
P=2l+2w
l+w equals half of the perimeter
220/2=110
the ratio of the length to the width is 7:3
7x+3x=110
10x=110
x=11
7*11=77 for the length
3*11=33 for the width
A=l*w
A=77*33
A=2541 square inches for the area
maybe you are getting the formula mixed up ?!?!
What is the measure of arc GH?
Answer:
62 degrees
Step-by-step explanation:
The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.
Said another way, the intercepted arc is twice the measure of the inscribed angle.
2 x 31 = 62
Will mark the correct answer brainliest
Find the volume of the cone using 3.14 for pi. Please help asap i need it!
Answer:
29.32
Step-by-step explanation:
We are given the diameter on the bottom, so we can find the radius. Since a radius is half the diameter, the radius is 2mi. The formula for the volume of a cone is:
1/3 * pi * r^2 * h
We can substitute:
1/3 * pi * 2^2 * 7
29.32153
This rounds to about 29.32
Answer:
V = 117.23
Step-by-step explanation:
V = (1/3) pi x r^2 x h
Input.
V = (1/3) 3.14 x 4^2 x 7
V = (1/3) 3.14 x 16 x 7
V = (1/3) 3.14 x 112
V = (1/3) 351.68
V = 117.23
Note: Please disregard my answer as I used the incorrect radius. I needed to find the correct radius instead of using the diameter as it was.
Set up the equations to determine s and t.
Answer:
t° = 11° s°= 71°
Step-by-step explanation:
79° + t° =90° (Given)
t°= 90° - 79°
t°= 11°
s°+79°+11°+19° =180° (angles on an str line)
s° = 180° - 109°
s° = 71°
Figure D is the result of a transformation on figure C. which transformation would accomplish this?
PLEASE HURRY
Answer:
A translation 1 unit left and 2 units up
Step-by-step explanation:
1) look at the point at the very bottom-we can call that point A
2) that point on figure C would be at (3,-5)
3) if you move it to the left one and up two, you get that same point but on figure D
So, the answer is the second option
make m the subject in the relation
[tex]2m - x + 3y \h = 2y \p[/tex]
Answer:
[tex]m = \frac{-y+x}{2}[/tex]
Step-by-step explanation:
[tex]2m - x + 3y = 2y[/tex]
Take [tex]-x[/tex] and [tex]+3y[/tex] on the other side of the equal to sign:
[tex]2m = 2y +x-3y[/tex]
Now solve for y:
[tex]2m = -y +x[/tex]
Take 2 one the other side of the equation:
[tex]m = \frac{-y +x}{2}[/tex]
Hope this helps :)
c= feet? help me please
write the number into 3 significant figures 7.00956
=================================================
Explanation:
Use a marker to highlight the first three digits on the left. That would be the 7, 0 and 0.
The digit just to the right of that second "0" is the digit "9". Since this 9 is larger than 5, we'll bump the 7.00 up to 7.01
The 0 in 7.01 is significant because it's between two nonzero values. So we have three sig figs here.
Liz records her pet hamster's weight once every month for one year. How many observations does she make?
Answer: 12 observations
Step-by-step explanation:
1 year = 12 months
Number of observations = 1 per month
Therefore number of observations
for a year = 1 × 12
= 12 observations.
A rectangular room is 9 m long and 6 m broad. Find the number of
pieces of carpet each of 4 m long and 1.5 m wide to cover the floor of
the room. If the rate of cost of carpet is Rs 110 per metre, find the cost
of carpeting the floor.
Answer:
880
Step-by-step explanation:
Answer:
Rs. 3,960 is the cost of carpeting.
PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST! TY BESTIES! Factor using GCF 20x^2+10x please show work
Answer:
10x(2x+1)
Step-by-step explanation:
20x^2+10x
2*10*x*x + 10 *x
Factor out the common terms
10x(2x+1)
helppppppppppp no links or you'll get reported
Answer:
1.95
Step-by-step explanation:
area = (1/2 ×1 ×1 )×3 = 1.5 ( for sides)
area = ( 1/2 ×1 ×0.9) = 0.45 for base
area =1.5+0.45 = 1.95
i need help with this
Answer:
7x^2 + 8x-7
7×4^2 + 8×4-7
7×16+32-7
112+25
137
Use the equation 135 x 42 = 5.670 and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute 1.35 x 4.2
Answer:
5.670
Step-by-step explanation:
To compute 1.35 x 4.2
First, we need to convert both decimals to fraction
1.35 = 135/100
4.2 = 42/10
Taking the product
1.35 x 4.2
= 135/100 * 42/10
= (135*42)/(100*10)
= 5670/1000
= 5.670
Hence the product of both numbers is 5.670
3x −3 y −4 ⋅ 3x 3 y 3
Suppose it takes 4.5 pounds of seed to completely plant one acre of land. Heather has 31.4 acres of land. Find the amount of seed she needs.
Answer:
141.3 pounds of seeds
Step-by-step explanation:
1 acre = 4.5 lbs
31.4 acres = 141.3 lbs
Sue and oliver share £160 in the ratio 3:5
Work out how much more oliver get conpared to cue.
Answer:
£40
Step-by-step explanation:
3+5=8
160÷8= 20
20× 5=100
20×3=60
100-60=40
Answer:
£40
Step-by-step explanation:
160 shared between 3:5
3 + 5 = 8 (parts)
160 ÷ 8 = 20
20 = 1 part
Sue has 3 parts; (20 x 3) = £60
Oliver has 5 parts; (20 x 5) = £100
Work out how much more oliver get conpared to sue
oliver has £100, sue has £60
£100 - £60 = £40
oliver has £40 compared to sue
Can someone help its math :)
Answer:
m<F = 53
Step-by-step explanation:
Exterior angles thm:
5x - 10 + 3x + 14 = 100
8x + 4 = 100
8x = 104
x = 13
m<F:
3x + 14
3(13) + 14
39 + 14
53
Pls help anyone plsss
3 times flipped, two sides fo a coin heads and tails, 2/3 meaning most likely
Please help!!! Will give brainliest!
Answer:hhhhhhhhhbbbbb
Step-by-step explanation:
44444444
Is 5.585786438 rational or irrational
From what I have learnt:
The number has an ending so it is rational
Irrational numbers don't end, e.g. π (3.1415926...)
ayuda resta de fracciones
(+4/7) - (3/7)
Answer:
Step-by-step explanation:
=4/7-3/7
=4-3/7
=1/7
Answer:
Step-by-step explanation:
así que lo primero que harías es ... alinearlos así ...(el primer archivo)
Entonces para solucionarlo ...(El segundo archivo).
¡Espero que esto sea correcto y ayude!
A square is changed into a rectangle by increasing the length of the square by 5 units to be (x + 5) and increasing the width by 3 units to be (x + 3). Write a simplified expression that represents the area of the resulting rectangle in square units?