Answer:
slope = -3 and equation of line is y = -3x+16
Step-by-step explanation:
two points, (0,16), and (2,10)
rise/run: y2-y1/x2-x1 = 10-16/2-0 = -6/2 = -3
Let d = cost, in dollars, of 1 hot beverage
3 hot chocolates + 2 lattes + 1 donut = 820.70
3d +20 +0.95 = 20.70
Answer:
Answer: HC, HT, CT
Step-by-step explanation:
2 !DIFFERENT! DRINKS so it can’t be HH, CC, TT
Step-by-step explanation:
.....
how to represent -23/6 on number line
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
#SPJ2
What is the length of the hypotenuse?
Answer:
h=15feet.
Step-by-step explanation:
using Pythagoras theorem
h²=p²+b²
h²=12²+9²h²=144+81h=√225h=15feet.hope it helps.
stay safe healthy and happy.[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢ ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢ \sqrt{225 \: {ft}^{2} } = c \\ ⇢ \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
PLEASE ANSWER URGENT
Answer:
D
Step-by-step explanation:
help please i need help please
Answer:
B and D
Step-by-step explanation:
x^2+21x+1=5x+4
solve by completing the square show all work
(will give brainliest)
Answer:
x = 0.1854 and x = -16.1854
Step-by-step explanation:
refer to photo
solve for r. r - 4.5 < 11
Answer:
r < 15.5
Step-by-step explanation:
r - 4.5 < 11
r (- 4.5 + 4.5) < 11 + 4.5
r < 15.5
Matthew worked a summer job and saved $900 each
summer for the last 4 years. He also has been awarded a
grant in the amount of $5,000 and he received $3,000 in
scholarships. He estimated the first year of college to cost
$13,000. If he uses his savings, the grant, and his
scholarship, how much more will he need to pay for the
first year of college?
Answer:
1400
Step-by-step explanation:
hope that helps <3
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 ?!?!
help me plzz sorry for asking this much
Answer: the answer is D. this took sometime but if you find another question like this solve it like this|
Step-by-step explanation: if you're already given the perimeter then that is the area so how to find the lengths if you're given the width is to multiply or divide! if you're using multiplication then use the width to divide so let's say you're area (perimeter) is 32! that means if you're given 4cm as the lengths then you have to use table knowledge to find the width now if we know the 4x table then that means there is 8 x 4=32 so that means that the width is 8 thats an example!
3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.
Answer:
32
Step-by-step explanation:
Since there is 112 more red marbles than green marbles,
7 units= 112
1 unit= 112÷7= 16
2 units(no. of blue marbles)=16×2=32
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...)
Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale price
Answer:
The original price was of $560, while the sales price was of 560 - 224 = $336.
Step-by-step explanation:
Original price:
x
Sales price:
224 less than the sales price, that is:
x - 224.
On sale fo 40% of the original price:
So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:
[tex]x - 224 = 0.6x[/tex]
[tex]0.4x = 224[/tex]
[tex]x = \frac{224}{0.4}[/tex]
[tex]x = 560[/tex]
The original price was of $560, while the sales price was of 560 - 224 = $336.
what is the answer? please helppp
Answer:
1/4
Step-by-step explanation:
Probability is: (ways to get a desired result) / (total possible outcomes)
Choosing a yellow ball would be a desired result.
So, using the numbers that the question gives us,
(3 ways to get a yellow ball) / (12 golf balls total) =
3 / 12 =
1 /4
The answer is 1/4 chance.
Answer:
3/12 0r 1/4 <--- Simplified
Step-by-step explanation:
so there are 3 yellow which are in 12 gold balls so
it would be 3/12 or simplified 1/4
1. solve for p: p - 17 = 13
2. solve for m: 23 + m = 31
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
1st Question :-[tex]p - 17 = 13 \\ p = 13 + 17 \\ p = 30[/tex]
✍ The value of p is 30.
2nd Question :-[tex]23 + m = 31 \\ m = 31 - 23 \\ m = 8[/tex]
⎆ The value of m is 8.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Answer:
p=30, m=8
Step-by-step explanation:
1. if p - 17 = 13, then p = 13+17, which is equal to 30
2. if 23 + m = 31, then m = 31-23, which is equal to 8
Do the opposite of the sign, for instance in question 1 it's -17, so you would +17 to calculate p.
which list of numbers is ordered from least to greatest help pls
Answer: B
Step-by-step explanation:
If you change them all to decimals.
4.8% = .048
1/20 = .05
4.1 x [tex]10^{-1}[/tex] = .41
[tex]\sqrt{4}[/tex] = 2
So, that would be least to greatest.
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 recipe that serves 4 people uses 3 potatoes. How many potatoes are needed to serve 20 people?
Answer:
14
Step-by-step explanation:
You need to count by 4´s. So:
4, 8, 12, 16, 20.
3, 6, 9, 12, 14.
I lined them up for you to understand it easier
A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?
STEP BY STEP PLS I WILL MARK BRAINLIEST PYTHAGORUS THEOREM
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 :)
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.
A sum of money is divided between A, B and C in the ratio 10:6:4. If B receives 515 more
than C , how much will A get and what is the total sum of money?
Answer:
Amount A get = 2,575
Total amount = 5,150
Step-by-step explanation:
Given:
Ratio between A,B and C = 10:6:4
Assume;
Common ration is 'a'
So,
Amount A get = 10a
Amount B get = 6a
Amount C get = 4a
So,
Amount B get - Amount C get = 515
6a - 4a = 515
2a = 515
a = 257.5
Total amount = 10a + 6a + 4a
Total amount = 20a
Total amount = 20(257.5)
Total amount = 5,150
Amount A get = 10a
Amount A get = 10(257.5)
Amount A get = 2,575
A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the value of the card in 2016
Answer:
$2284.6
Step-by-step explanation:
Given data
Principal= $200
Rate= 7%
Time= 1980-2016= 36 years
The expression for the exponential model is given as
A= P(b)^t
b=1+r-----------because will are dealing with increase
A= P(1+r)^t
A=200(1+0.07)^36
A= 200(1.07)^36
A= 200*11.423
A=$2284.6
The value of the card is $2284.6
Help me please thank you for
Answer:
I don't know
Step-by-step explanation:
Sorry
Answer:
Just at a glance I'm pretty sure it would be B.
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?
Answer:
G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)
Step-by-step explanation:
Exponetial funtions are when you have a power of, for example g(x)=1+6x^2
It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace
HELLLLPPPPPPP PLEASEEEEEE BEGGGGI G SOMEONE PLEASEEEEEEEEE
Answer:113
Step-by-step explanation:
3x −3 y −4 ⋅ 3x 3 y 3
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
Can someone please help me
Answer:
if I am correct the answer should be 2