Bob and Dave go to PizzaScoff. Starting with 35 pizzas, Bob eats 6 and 4/5 and Dave eats 8 and 1/3 pizzas. How many are left/?
Answer: 15 1/3 or 15.333333
Step-by-step explanation:
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm
To make a certain shade of paint, an artist needs to mix yellow with blue paint at a ratio of 3 to 5. He needs 32 ounces of paint.
Solution:
Step-by-step explanation:
I guess the question is how many ounces are needed per paint. right ?
the colors are mixed in a ratio 3:5.
what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.
the total is 32 ounces.
so, each of the 8 units represents
32/8 = 4 ounces.
and now we know :
yellow has 3 units
3×4 = 12 ounces
blue has 5 units
5×4 = 20 ounces
What is the scale factor that takes the large triangle to the small triangle?
Step-by-step explanation:
such a scale factor applies to all sides and lines.
we see that DE is 12 units, and AB is 4 units.
so,
12×f = 4
f = 4/12 = 1/3 is the scale factor
control : check the other side
FE = 6 units
6 × 1/3 = 2
so, the corresponding side in the small triangle must be 2 units long.
and indeed, CB is 2 units long. all correct.
Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24
Hello there, this is how we will solve your problem.\
here is the equation you gave us.
[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]
[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]
we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]
Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].
_________________
[tex]y=-3[/tex] [tex]x=0[/tex]Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1
Write h in terms of x
f(x+3)
[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]
Now
[tex]\\ \sf\Rrightarrow h(x)[/tex]
[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]
[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]
Write add, divide, multiply, and subtract in the correct order to complete the following sentence.
When using the order of operations to evaluate an expression,
Always:____and____before you____and____.
Answer:
what grade are you??.......
Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a discount?
Answer:
$780
Step-by-step explanation:
P = Original Price
P (100% - 10%) = $702
P (90%) = $702
(P (.9)) / .9 = $702 / .9
P = $780
Check answer:
$780 (90%) = $702
Jenny and Dylan were putting chips into bags to help feed the homeless. They had 344 chips. Each bag holds 17 chips. How many full bags of chips can they make?
Answer:
20
Step-by-step explanation:
Answer:
20 full bags of chips
Step-by-step explanation:
344 chips / 17 chips = 20 full bags (with 4 chips left over)
What is the slope of the following line?
The slope of the line is 1/-2
You only have to rise one time, then go over to the left two times in order to get to another point.
write the slope intercept form of the equation through (2,-4) parallel to y=-1
Answer:
y = -x - 2Step-by-step explanation:
Parallel lines have equal slopes.
Given slope, m = - 1 and point (2, -4).
Slope- intercept form:
y = mx + bTh line will be:
y = -x + bSubstitute x and y- values of the point into equation to find the value of b:
- 4 = - 2 + bb = 2 - 4b = - 2The line is:
y = -x - 2Slope=m=0
Parallel lines have equal slopes
Equation of line in point slope form
y-y1=m(x-x1)y+4=0(x-2)y+4=0y=-4SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!
make w the subject of the formula
Answer:
w= [tex]\frac{y+1}{2+a}[/tex]
Step-by-step explanation:
y-aw=2w-1
y+1=2w+aw
y+1=w(2+a)
[tex]\frac{y+1}{2+a}[/tex]=w
HELP ASAP!
The girls soccer team is trying to raise atleast $600 to pay for new uniforms. They have already raised $240 and are holding a car wash to raise the rest of the money. If they charge $8 per car at the car wash, how many cars will it take to raise the rest of the money for the new uniforms? Choose the inequality that beat represents the real-world situation.
Answer:
It will take at least 45 cars
Step-by-step explanation:
so to start subtract 240 from 600
you get 360 then divide 8
this leaves you with 45
answer the ones you want to. At least answer one…
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answer:
9. First Five terms
If n=0. Then,
[tex] \frac{4(0) - 5}{2}[/tex]
[tex] \frac{0 - 5}{2} = \frac{ - 5}{2} [/tex]
If n=1. Then,
[tex] \frac{4(1) - 5}{2} [/tex]
[tex] \frac{4 - 5}{2} = \frac{ - 1}{2} [/tex]
If n=2. Then,
[tex] \frac{4(2) - 5}{2} [/tex]
[tex] \frac{8 - 5}{2} = \frac{3}{2} [/tex]
If n=3. Then,
[tex] \frac{4(3) - 5}{2} [/tex]
[tex] \frac{12 - 5}{2} = \frac{7}{2} [/tex]
If n=4. Then,
[tex] \frac{4(4) - 5}{2} [/tex]
[tex] \frac{16 - 5}{2} = \frac{11}{2} [/tex]
If n=5. Then,
[tex] \frac{4(5) - 5}{2} [/tex]
[tex] \frac{20 - 5}{2} = \frac{15}{2} [/tex]
If n=6. Then,
[tex] \frac{4(6) - 5}{2} [/tex]
[tex] \frac{24 - 5}{2} = \frac{19}{2} [/tex]
3.please help me out
Answer:
125
Step-by-step explanation:
Step-by-step explanation:
5×5²
=5×5×5
=125
index form= 5³
The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is
See below
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]
[tex]\\ \sf\Rrightarrow y=x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
Joyce's mother buys some shares of Company A on Day 0.
On Day 7, the share price of Company A is $4.60.
If she sells all her shares of Company A and A buys 2000 shares of Company B on Day 7, she would receive $7400.
On Day 12, the share price of Company A is $4.80 and the share price of Company B is $0.50 less than that on Day 7.
If she sells all her shares of Company A and buys 5000 shares of Company B on Day 12, she would have to pay $5800. Find
(i) the number of shares of Company A Joyce's mother has,
(ii) the share price of Company B on Day 12.
Please help aNd thank you!!!
Answer:
(i) 4000
(ii) $5.00
Step-by-step explanation:
Let no. of shares of Company A be X
Let share price of Company B on Day 7 be $y
Share price of Company B on Day 12 = $(y-0.50)
(i)
Consider Day 7:
4.60x - 2000y = 7400................ (1)
Consider Day 12:
4.80x - 5000(y-0.50) = -5800
4.80x - 5000y + 2500 = -5800
4.80x - 5000y = -8300............... (2)
(1)*2.5:
11.5x - 5000y = 18500................. (3)
(3)-(2):
11.5x - 4.80x - 5000y + 5000y = 18500 + 8300
6.70x = 26800
x = 4000
(ii)
Sub. x = 4000 into (1):
4.60(4000) - 2000y = 7400
-2000y = 7400 - 18400
-2000y = -11000
y = 5.5
Share price of Company B on Day 12
= 5.50 - 0.50
= $5.00
true or false Canada's indigenous people originally came from Asia
Answer:
True
Step-by-step explanation:
They came from east Asia
I hope this helps!
A geodesic dome has a hexagonal floor. If the diagonal of the floor is to be 24ft. 8in., what is the distance around the floor?
Answer:
e
Step-by-step explanation:
e
Lindsay borrowed ₱120,000 in a bank for a year. If she paid ₱139,290.54 on the maturity date, at what rate of interest, compounded monthly, did she pay?
She paid the loan at a 15% rate of interest.
Given that Lindsay borrowed $ 120,000 in a bank for a year, if she paid $ 139,290.54 on the maturity date, to determine at what rate of interest, compounded monthly, did she pay, the following calculation must be performed:
120,000 x (1 + X / 12) ^ 12 = 139,290.54 (1 + X / 12) ^ 12 = 139,290.54 / 120,000 1 + X / 12 = 12√1.1607545 X / 12 = 1,012 - 1 X = 15
Therefore, she paid the loan at a 15% rate of interest.
Learn more about interest in https://brainly.com/question/25725602
Martin filled the pool with 54000 gallons of water.
He paid £2.38 for each 1000 gallons of water.
Work out the total amount he paid for 54 000 gallons of water.
Answer:
£128.52
Step by step:
54,000 ÷ 1,000 = 54
54 * £2.38 = £128.52
so tell me how many assignments are you missing?
I have like 27 missing assignments
Help help help help help
area=108 in. squared
12/2 gives you the radius (6)
6 squared is 36
36 times 3 is 108
Help help help help math math
Answer:
48 ft 2
Step-by-step explanation:
The radius is 4 ft because it is half of the diameter.
3 * 4^2 = 3 * 16 = 48
What is 16 divided by 5%=?
Answer:
320
Step-by-step explanation:
I am assuming we are trying to find 16/5%.
5% is equal to 1/20, so we can make this into :
[tex]\frac{16}{\frac{1}{20} }=16*\frac{20}{1}[/tex]
This is equal to 16 x 20 = 320
my Christmas present to you
Answer:
thankss
Step-by-step explanation:
Can someone help with 1 11/15 divided by 1 4/9?
Answer: The answer is 1 1/5
Step-by-step explanation: Hope that helps :)
-5(c-4)=
a*-20-5c
b*20-5c
c*20+5c
???????
Answer:
b
Step-by-step explanation:
distributive property-
-5c-(-20) which is -5c+20 which can also be 20-5c
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Answer:
Step-by-step explanation: