Sub
105=700*0.05*t
105=35t
divide both sides by 35
3=t
t=3
Answer:
15 cakes can be decorated.
Step-by-step explanation:
Given:
Total number of shapes Liu has = 140
Ratio of shape of stars and hearts = 4 : 3
According to the question:
Each cake have 5 stars and 4 hearts.
Let the number of starts be "4x" and number of hearts be "3x" from the ratio.
Now,
⇒
⇒
⇒
⇒
Number of stars =
Number of hearts =
Each cake have 5 stars and 4 hearts .
How many cakes can be decorated with 80 stars.
⇒ No.of cakes = Total number of stars / 5
⇒
⇒
How many cakes can be decorated with 60 hearts.
⇒
⇒
But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.
Liu can decorate 15 cakes and only.
It’s the first one, seven (7)
Answer:
<u>y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
Step-by-step explanation:
Slope (m) = 5
Y-intercept (b) = 7
Using the equation y=mx+b, you can find m and b to make y=5x+7.
Steps:
(1, 12) (2, 17) formula: y2-y1 / x2-x1 = m
17-12= 5
2-1 = 1
5/1=5
m=5
12=5(1)+b
12=5+b
7=b
17=5(2)+b
17=10+b
7=b
<u>Answer: y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of S
Midpoint is calculated as:
Where:
Substitute these values in the above formula:
Multiply through by 2
By direct comparison:
and
Solving for x2
Solving for y2
Hence, the coordinates of S is: