Answer: Yes, It's a Function
Step-by-step explanation: The lines dont cross the X-Axis more than once
Helen needs 60 g of sugar to make 15 biscuits.
She also needs
three times as much flour as sugar
two times as much butter as sugar
Helen is going to make 60 biscuits.
a) Work out the amount of flour she needs.
Helen has to buy all the butter she needs to make 60 biscuits.
She buys the butter in 250 g packs.
b) (i) What is the exact amount of butter she needs?
g
(ii) How many packs of butter will she have to buy?
Answer:
1 pack of butter, and 360 grams flour.
Step-by-step explanation:
it just mental math, and i kinda forget how i even got the answer, but its 1 because she only needs 240 grams. and also 360 flour.
Answer:
I'll give you the correct answer:
a) You need to times 60 by 3: 60*3. This will get you 180g, which gets your first mark.
Next, you must times 180 by 4: 180*4. This gets you 720g, and there's your final answer + the last marks.
b) (i) 420g
(ii) 2 packs, because there is 240 g in one pack so you times it by two.
Hope this helps!
Need help with trig!!
Answer:
a) sin x
b) cos² x
c) sin²x
Step-by-step explanation:
Step(i):-
Given that the trigonometric equation
[tex]tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = sin x[/tex]
we have to use trigonometric formulas
[tex]1-cosx = 2sin^{2} (\frac{x}{2} )[/tex]
[tex]sin x = 2 sin \frac{x}{2} cos\frac{x}{2}[/tex]
now
[tex]tan\frac{x}{2} = \frac{sin\frac{x}{2} }{cos\frac{x}{2} }[/tex]
= [tex]\frac{2sin(\frac{x}{2} ) sin\frac{x}{2} )}{2sin\frac{x}{2} cos\frac{x}{2} }[/tex]
= [tex]\frac{2sin^{2} (\frac{x}{2} ) )}{sinx }[/tex]
= [tex]\frac{1-cosx}{sinx}[/tex]
Step(ii):-
[tex]tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = \frac{1-cosx}{sinx} +cosx \frac{1-cosx}{sinx}[/tex]
= [tex]\frac{1-cosx +cosx(1-cosx)}{sinx}[/tex]
= [tex]\frac{1-cosx+cosx-cos^{2} x}{sinx}[/tex]
= [tex]\frac{1-cos^{2} x}{sinx}[/tex]
= [tex]\frac{sin^{2}x }{sinx}[/tex]
= sinx
A rectangle has a length that is 4 meters more than the width. The area of the rectangle is 117 square meters. Find the dimensions of the rectangle.
Answer choices are on picture.
Answer:
Its the first choice. Width:9 Length:13
Step-by-step explanation:
If the length is 4 meter more than the width than that means whatever the width is you must add 4 to it, in this case the width is 9 so add 4 to it which equals 13. If the length matches your answer it is the correct choice.
The area of a rectangle is the product of its dimensions. The dimension of the rectangle is: [tex]Length = 13m[/tex] and [tex]Width = 9m[/tex]
Given that:
[tex]L =4 + W[/tex]
[tex]Area = 117[/tex]
The area of a rectangle is:
[tex]Area = L \times W[/tex]
So, we have:
[tex]L \times W= 117[/tex]
Substitute [tex]L =4 + W[/tex]
[tex](4 + W) \times W = 117[/tex]
Expand
[tex]4W + W^2 = 117[/tex]
Rewrite as:
[tex]W^2 + 4W- 117 = 0[/tex]
Expand
[tex]W^2 + 13W - 9W - 117 = 0[/tex]
Factorize
[tex]W(W + 13) - 9(W + 13) = 0[/tex]
Factor out W + 13
[tex](W - 9)(W + 13) = 0[/tex]
Solve for W
[tex]W = 9[/tex] or [tex]W = -13[/tex]
The dimension cannot be negative.
So:
[tex]W = 9[/tex]
Recall that:
[tex]L =4 + W[/tex]
[tex]L = 4 + 9[/tex]
[tex]L = 13[/tex]
So, the dimension of the rectangle is:
[tex]Length = 13m[/tex]
[tex]Width = 9m[/tex]
Read more about areas at:
https://brainly.com/question/15218510
Write an equation for g(x), a translation of f(x) 4 units to the right and 3 units down.
A. g(x) = f(x + 4) + 3
B. g(x) = f(x + 4) - 3
C. g(x) = f(x - 4) - 3.
D. g(x) = f(x – 4) + 3
Please answer soon ty!
Answer:
A
Step-by-step explanation:
4.22
simplify the equation
Can someone pls help me?
What is the equation of a line through (6, 8) and (3,-1)
in slope intercept form y=mx+b?
Maggie's goal was to collect 80 canned goods foſ a food drive. So far,
she has collected 60 cans. What percent of her goal did Maggie reach?
A. 60%
B. 65%
C. 70%
D. 75%
Answer:
the percentage of 60/80 is 75
19)
For which value of x is the equation 3(x + 2) + x = 2x + 16 true?
at
A)
2.
ng
0
5
B)
3
C
4.
D)
5
Answer:
The correct answer is: Option D) 5
Step-by-step explanation:
Given equation is:
[tex]3(x + 2) + x = 2x + 16[/tex]
In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.
Putting x = 2
[tex]3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20[/tex]
Putting x = 3
[tex]3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22[/tex]
Putting x=4
[tex]3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24[/tex]
Putting x = 5
[tex]3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26[/tex]
The equation is true for x = 5
Hence,
The correct answer is: Option D) 5
Find the Prime Factorization of 72.
A. 23 x 9
B. 22 x 18
C. 22 x 33
D. 23 x 32
Amirah is 4 years older than Priya and Shirley is
2 years younger than Priya. If the sum of their ages
is 47, find their respective ages.
Answer:
Priyah = 15
Amirah = 19
Shirley = 13
Step-by-step explanation:
Let A represents Amirah, P Priyah and S, Shirley.
So, we have:
[tex]A = 4 + P[/tex] --- 4 years older
[tex]S = P - 2[/tex] --- 2 years younger
[tex]A + P + S = 47[/tex]
Required
Find their ages
Substitute 4 + P for A and P - 2 for S in [tex]A + P + S = 47[/tex]
[tex]4 + P + P + P - 2 = 47[/tex]
[tex]4 + 3P - 2 = 47[/tex]
Collect Like Terms
[tex]3P = 47 - 4+ 2[/tex]
[tex]3P = 45[/tex]
Divide both sides by 3
[tex]P = \frac{45}{3}[/tex]
[tex]P = 15[/tex]
Substitute 15 for P in [tex]A = 4 + P[/tex] and [tex]S = P - 2[/tex]
[tex]A = 4 + 15[/tex]
[tex]A = 19[/tex]
[tex]S = 15 - 2[/tex]
[tex]S = 13[/tex]
HELP PLS!! Whoever gets it right gets brainliest!!
Answer:
i think its c, point on r at -1 would go to 5, when flipped would b the same
Step-by-step explanation:
5 x 5,503 estimate the product by rounding
My Answer to this would be: 25.26
Which of the following correctly shows the quotient of 80 divided by 5?
Answer:
option 3
Step-by-step explanation:
[tex]\frac{80}{5}=16[/tex]
Answer:
number 3
is the correct one out of the 4
I need help for this
A local city collects 7% sales tax. If the total purchase was $321,000, then how much was collected for sales tax?
A.$31.50
B.$22.47
C.$21.00
D.$250.00
(ANSWER CORRECTLY PLS, ALSO EXPLAIN FOR BRAINLIEST)
Two companies rent canoes at Klein Lake. The first company charges a 12.50 deposit and a fee of $16 per hour. The second company charges a fee of $20 per hour with a deposit of $4.50. How many hours would a canoe need to be rented for the cost to be the same at each company?
A 32 hours
B 2 hours
C 4 1/2hours
D 8 hours
Answer:
D
Step-by-step explanDation:
need help asap pls!!!!
Answer:
z = 22
Step-by-step explanation:
Since this is a rhombus, we know that parallel sides are equal in length and that the angles should add to 360 degrees. The opposing angles, therefore, are also equal in size. So, you can find the answer by setting the two angles to each other.
3z = z + 44
2z = 44
z = 22
Answer:
z=22
Step-by-step explanation:
3z = z + 44
3z - z = 2z
2z = 44
z = 22
Yasmine is having a birthday party with snacks and activities for her guests. At one table, five people are
sharing three quarters of a pizza. What equal sized portion of the whole pizza will each of the five people
receive
Use a modelle picture, number line, or manipulative materials) to represent the quotient
Write a numbentence to represent the situation in your reasoning
Answer: The answer is 3 over 20.
Step-by-step explanation: On offer is 3 over 4 pizza.
Each person is given a slice that that is the same size as all the rest.
So the 3 over 4 pizza is split into 5 equally sized parts. Thus each of the 5 slices is 1 over 5 times 3 over 4 = 1x3 over 5x4 = 3 over 20 of a whole pizza.
EXPLAIN PLEASE Will give brainlist!
Question 1 (1 point)
1. Which three lengths could be the lengths
of the sides of a triangle?
O A.12 cm, 5 cm, 7 cm
O B.10 cm, 15 cm, 24 cm
O C.9 cm, 22 cm, 11 cm
O D.21 cm, 7 cm, 6 cm
Answer:
B
Step-by-step explanation:
For three side lengths to make a triangle, the two smaller ones have to add up to be greater than the third one. This is because if they are any smaller, they won't be able to touch and form a triangle. The formula for this is a+b>c.
You can go through each answer choice and determine whether or not it would work:
A. 12, 5, and 7
5 + 7 > 12 --> 12 > 12 (NOT true)
B. 10, 15, and 24
10 + 15 > 24 --> 25 > 24 (true!)
C. 9, 22, 11
11 + 9 > 22 --> 20 > 22 (NOT true)
D. 21, 7, and 6
7 + 6 > 21 --> 13 > 21 (NOT true)
This means that the correct answer is B.
a taxi driver charges $1.25 per mile. the driver also chargers a one time $10 fee. write and solve a equation to determine how many miles are driven , for the driver to charge $39 total
Answer:
23.2 miles
Step-by-step explanation:
10 + 1.25x
x = number of miles
so if the total cost is $39, this is the equation:
10 + 1.25x = 39
Solve:
10 + 1.25x = 39
1.25x = 29
x = 23.2
So the answer will be 23.2 miles.
If logx= -5, what is x?
Answer:
In Exact form: x = 1/100000
In Decimal form: 1 x 10^-5
Step-by-step explanation:
Answer:
0.00001
Step-by-step explanation:
A soccer team orders jerseys that cost $20 each. The price per jersey decreases $0.50 for each jersey that is ordered. How many jerseys should the team order for the price per jersey to be no greater than $15?
Answer:
10 jerseys :)))
Convert the following equation to slope-intercept form and
then graph: 2x + 5y = 15.
4 + 2p = 12
so p = what
Answer:
p=4
Step-by-step explanation:
4+2p=12
Step 1: Simplify both sides of the equation.
2p+4=12
Step 2: Subtract 4 from both sides.
2p+4−4=12−4
2p=8
Step 3: Divide both sides by 2.
2p/2=8/2
p=4
Answer:
p=4
Answer:
P = 4
Step-by-step explanation:
4 + 2p = 12
12 - 4 = 8
2p = 8
8 ÷ 2 = 4
P = 4
What is the area of the triangle
Answer:
A = 1/2 l*w
So the answer is 4.
Answer:
area=1/2(bh)
area=1/2(2 times 4)
area=1/2(8)
area=4
:)
twice a number is equal to six more than three times the number. write into equation
Answer:
2x = 3x + 6
Step-by-step explanation:
Key skills: Writing Out Equations
1) Let's say x is the number.
2) Twice the number means 2 times the number. This means it would be 2x.
3) 3 times a number is 3x. 6 more than that would be using addition, so it would be 3x + 6.
4) Therefore your answer would be 2x = 3x + 6
Hope you understood and have a nice day!!
Larry was paid a total of $30 for raking leaves for 8 hours of work. This rate is constant. What will be the total amount that Larry will be paid for raking leaves for 20 hours of work
Answer:
Hi! The correct answer is $75 for 20 hours.
Step-by-step explanation:
Hey guys! Does anyone know the answer to this god bless
At Dizzy World theme park, Vera waited in line for 35 minutes and rode on a Magical Mushroom for 7 minutes. What is the percent value-added time for this ride
Answer: the percent value-added time for this ride is 16.67%
Step-by-step explanation:
Given that;
Waiting time for Vera = 35 minutes
Length of Vera's ride = 7 minutes
total processed time will; ( 35 + 7 ) = 42 minutes
the percent value-added time for this ride = ?
so
Percentage value-added time of Vera will be
= (length of the ride / total process time) × 100
we substitute
⇒ (7 / 42) × 100
⇒ 0.16666 × 100
⇒ 16.67%
Therefore the percent value-added time for this ride is 16.67%