Answer:
38.5 grams of sugar for 5 cakes
Step-by-step explanation:
Set up a ratio of grams to cakes
84.7g:11
How much for 1 cake(unit rate because you want sugar over cakes)?
Just divide by 11.
7.7g:1
But you need 5 cakes so multiply by 5
38.5g:5
Answer:
Step-by-step explanation:
First divide 84.7 and 11 which is 7.7
So there is 7.7g of sugar in one cake.
Next multiply 7.7 by 5 which is 38.5
Therefore you need 38.5g of sugar for 5 cakes
-
Solve the system using the equation elimination . Write your answer as an ordered pair (x, y, z).
x + y + z = 3
X – y=5
y - z = -7
Answer:
x = 2
y = -3
z = 4
( 2 , -3, 4 )
Step-by-step explanation:
x + y + z = 3 ---- i
x – y =5 ---- ii
y - z = -7 ---- iii
ii + iii
x - z = -2 ---- iv
i + ii
2x + z = 8 --- v
iv + v
3x = 6
x = 2
x=2 substitute for v
z = 4
x =2 substitute for ii
y = -3
What is the point slope form of a line that has a slope of 3 and passes through point (1, 4)?
Answer:
3x - y = -1
Step-by-step explanation:
y - y₁ = m(x - x₁)
substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m
y -4 = 3(x - 1)
distribute 3 to (x - 1)
y - 4 = 3x -3
isolate 3x by itself by adding 3 to both sides
y - 1 = 3x
subtract y from each side
-1 = 3x - y
and just flip around the equation to make it look nicer
3x - y = -1
please help me show work
Answer:
x=6°z=64°Step-by-step explanation:
15x+26 + 5x+34 =180
20x + 60 =180
20x=120
x=6z + 15(6) +26=180
z=180-26-90=180-116
z=64hope it helps:)
What’s the algebraic expression for 9,12,1518
Answer:
Just getting points i hope u find the answer tho :))
Step-by-step explanation:
solve for x plsssss help me out
Answer:
-11
Step-by-step explanation:
Triangles have 180 degrees
using the vertical angle theory we know that 80 and 60 are angles
We can subtract them from 180 to get 40 left
this minus 51 is -11
x is -11
Someone please help me :((
Answer: its the third one
Step-by-step explanation:
:)
need help plzzzzzzzzzzzz what is it
Answer:
36
Step-by-step explanation:
8 x 9 = 72
72 ÷ 2 = 36
Find the measurements of the height and length then multiply them together.
Now, divide the sum by two because a triangle has half the area of a square's area.
Go step by step to reduce the radical.
The square root of 96
Answer:
Step-by-step explanation:
We want to reduce the radical. In order to do that, we want to find the factors of 96 that are square numbers
The factors of 96 are:
[tex]1, 96, 2, 48, 3, 32, 4, 24, 6, 16...[/tex]
16 is a square number, so we can rewrite
[tex]\sqrt{96} = \sqrt{16*6} = \sqrt{16} * \sqrt{6} = 4\sqrt{6}[/tex]
Kristen gets home from work at 5:34 p.m. Kristen's dinner is ready at 5:51 p.m.
How many seconds after Kristen gets home is her dinner ready?
What is the same as 1.5 in a fraction
Answer:
the answers is 3 over 2 in fraction form
Answer:
1 1/2 or 3/2
Steps:
As we know .5 = 1/2
If we take one the 1 out of 1.5 we can use it to connect 1 and 1/2
Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of hours he works at his job (x) and the number of lawns he mows (y) to determine how to earn at least $300. Which type of boundary line
Answer: $7.25 at part-time job
$9.00 every time lawn mowed
so he would get 33.33 day so we will just say 33 times to get 300 dollars if he gets $9 for mowing. And 41.37 hours to get $300 and he would have to use x and y graph to find the boundary line.
Step-by-step explanation:
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
How many right handed players are there?
Answer:
there are 30 right-handed players on the team
WILL GIVE BRAINLIEST
Subtract 9x^2+7x-2
from 8x-10
Answer:
x − 9 x ^2 − 8
Step-by-step explanation:
If x=5 what is the perimeter of the rectangle whose length is 6x-4 and 3x+2
4. a. If the original lengths are multiplied by 2, what are the new coordinates? *
divide
Step-by-step explanation:
But i think I know what you need to do so first count the graph like see where it is pointed at then divide and u get ur answer Again im not sure but maybe
In circle F with m∠EHG = 35, find the m∠EFG
Answer: m∠EFG = 70
Step-by-step explanation:
m∠EFG = 2x35
m∠EFG = 70
In conclusion the answer is 70
The ratio of boys to girls in a school is 9 : 11. If there are 400 pupils in the school, how many boys are there?
Answer:
180 boys
Step-by-step explanation:
If there is a ratio of 9 boys : 11 girls
9 + 11 = 20 total
And if there are 400 students total in the school
400/20 = 20.
9 * 20 = 180
11 * 20 = 220
So the ratio of 400 pupils would now be 180 boys: 220 girls
As an estimation we are told 5 miles is 8 km.
Convert 60 km to miles.
Answer:
37.5 miles
Step-by-step explanation:
We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.
[tex]60/1.6=37.5[/tex]
Hope this helped!
Answer:
96 km
Step-by-step explanation:
I try it its 96 km
Trust me
I’ll give brainliest if someone can explain that answer
Answer:
no
Step-by-step explanation:
Answer:
No
Because 5 and 1 have the same output as 1.
The length of a rectangle is two more than two times its width. The perimeter of the rectang
52m. What is the area of the rectangle?
A
144 in2
B
18 in2
С
26 in2
D
8 in2
Answer:
a
Step-by-step explanation:
Jorge: 5 miles every 9 hours
Find Unit Rate
Answer: 0.555... miles per hour.
Step-by-step explanation: 5/9 = 0.555...
Find the square root of
144
Answer: 12 is the square root of 144
Step-by-step explanation:
if a triangle has a side length of 10
12 and 15 what type of triangle is it
If z = 1 –StartRoot 3 EndRoot i, what is z^3? please help im stressed
a) -8
b) 8
c) -8i
d) 8i
Answer:
Correct answer: a) -8
Step-by-step explanation:
Complex Numbers
A complex number z in polar form is expressed as
[tex]z=r(\cos\theta+\mathbf{i}\sin\theta)[/tex]
The nth power of a complex number in polar form is:
[tex]z^n=r^n(\cos(n\theta)+\mathbf{i}\sin(n\theta))[/tex]
If the complex number is given in rectangular form
[tex]z=x+\mathbf{i}y[/tex]
then the values of r and θ are given by:
[tex]r=\sqrt{x^2+y^2}[/tex]
[tex]\displaystyle \theta=\arctan\left(\frac{y}{x}\right)[/tex]
The given complex number is:
[tex]z=1-\mathbf{i}\sqrt{3}[/tex]
The value of r is:
[tex]r=\sqrt{1^2+(-\sqrt{3})^2}[/tex]
[tex]r=\sqrt{1+3}=2[/tex]
r=2
Calculating the angle:
[tex]\displaystyle \theta=\arctan\left(\frac{-\sqrt{3}}{1}\right)[/tex]
[tex]\displaystyle \theta=\arctan(-\sqrt{3})[/tex]
Since the number is in the quadrant IV, the angle is:
[tex]\theta=-60^\circ[/tex]
Thus, z is expressed in polar form as:
[tex]z=2(\cos(-60^\circ)+\mathbf{i}\sin(-60^\circ))[/tex]
Calculating:
[tex]z^3=2^3(\cos(-180^\circ)+\mathbf{i}\sin(-180^\circ))[/tex]
Given cos 180°=-1 and sin(-180°)=0
[tex]z^3=8(-1+0)[/tex]
[tex]z^3=-8[/tex]
Correct answer: a) -8
Answer:
A
Step-by-step explanation:
just finished test
A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Show your reasoning.
Is there something out there, a thought, an idea, a current event, or a fear that you find deeply unsettling?
What is the value of x?
12
15
20
24
ANSWER: 20
Can someone explain this question I don’t understand it.
Answer:
Well it seems like you figured it out, thanks for the points :)
If 25 gallons of gasoline has been used after driving 700 miles,how many gallons of gasoline would be used after driving 1,000 miles?
which shape has the greatest number of lines of symmetry
Answer:
A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. A circle has an infinite number of lines of symmetry since it can be folded about any diameter.
Step-by-step explanation:
Answer: E
Step-by-step explanation: All of the sides are the same length