Answer:
4 3/8 cups of baking soda
Step-by-step explanation:
1 3/4 cups of baking soda are needed to make 1 batch of a homemade cleaning product,
Cups of baking soda : batches of homemade cleaning
1 3/4 cups : 1 batch
How many total cups of baking soda I needed to make 2 1/2 batches of the cleaning product?
Let x = total cups of baking soda needed
Cups of baking soda : batches of homemade cleaning
x cups : 2 1/2 batches
Equate the ratios
1 3/4 cups : 1 batch = x cups : 2 1/2 batches
7/4 ÷ 1 = x ÷ 5/2
7/4 × 1/1 = x * 2/5
7/4 = 2/5x
Divide both sides by 2/5
x = 7/4 ÷ 2/5
= 7/4 × 5/2
Cross product
x = 35/8
= 4 3/8 cups of baking soda
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line by using the slope formula, 
. Substitute the x and y values of the given points into the formula and solve:
So, the slope is 
.
2) Now, use the point-slope formula 
to write the equation of the line in point-slope form. Substitute real values for the 
, 
, and 
in the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:
E=egg farm
x=distantce between the Berto´s trains and the meeting point.
t=time where the trains meet up
⇒110 miles/h ⇒85miles/h
[---------------------------E----------------------]-------------------------------------X
[............12 miles.......][........34 miles.....][------------ x ----------------------]
distance between Berto´s train and Eduardo´s train=
=12 miles+34 miles=46 miles.
S=d/t ⇒d=S*t
S=seed
d=distance
T=time
Eduardo´s train;
46 miles+x=t*110 miles/h ⇒x=t*110 miles/h-46 miles (1)
Berto´s train;
x=t*85 miles/h (2)
With the equations (1) and (2) we suggest this system equations:
x=t* 110 miles/h-46 miles
x=t*85 miles/h
we solve this system equiations :
t*110 miles/h-46 miles=t*85 miles/h
110t miles/h-85t miles/h=46 miles
25 t miles/h=46 miles
t=46 miles/25 miles/h=1,84 hour (≈1 hour, 50 minutes, 24 seconds)
x=t*85 miles/h=156,4 miles
Solution: 1,84 hour
Hey there!!
In order to solve this equation, we will have to use the distributive property.
What is distributive property?
We will need to distribute one term to the other terms preset.
Example : 4 ( 3x - 1 )
sing distributive property, we will have to distribute the term outside the parenthesis to the terms inside. In this case, we will have to distribute 4 to 3x and -1
( 4 × 3x ) + ( 4 × -1 )
12x + ( -4 )
= 12x - 4
This is after implementing the distributive property.
Now moving back onto the question
4 ( x + 5 ) = 3 ( x - 2 ) - 2 ( x + 2 )
Let us first solve 4 ( x + 5 )
Distribute 4 to x and 5
( 4 × x ) + ( 4 × 5 )
4x + 20
Now let's solve 3 ( x - 2 )
Distribute 3 to x and -2
( 3 × x ) + ( 3 × - 2 )
3x - 6
Solve for -2 ( x + 2 )
Distribute -2 to x and 2
( -2 × x ) + ( -2 × 2 )
-2x - 4
Now, let's get everything back together
4x + 20 = 3x - 6 - 2x - 4
Combine all the like terms
4x + 20 = x - 10
Adding 10 on both sides
4x + 20 + 10 = x - 10 + 10
4x + 30 = x
Subtracting 4x on both sides
4x - 4x + 30 = x - 4x
30 = -3x
Dividing by -3 on both sides
30 / -3 = -3x / -3
- 10 = x
<h2>x = - 10 </h2><h3>Hope my answer helps!</h3>
so since Mrs Jackson used 2/15 of 7/8, the amount she used is simply their product.
