Multiply the denominators with the numerators and write in one line, then solve for d.
D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
Using technology, the linear regression equation by fitting the data in the table is ŷ = 2.4x + 11. The predicted number of hits they will be recorded on day 15 is 47.
Using technology such as a regression calculator or excel ;
The regression equation which models the data is ;
- <em>Slope</em><em> </em><em>=</em><em> </em><em>2.4</em><em> </em><em>;</em><em> </em><em>intercept</em><em> </em><em>=</em><em> </em><em>11</em><em> </em>
<u>The</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>hits</u><u> </u><u>recorded</u><u> </u><u>on</u><u> </u><u>day</u><u> </u><u>15</u><u> </u><u>:</u>
<u>Substitute x = 15 into the equation</u> :
ŷ = 2.4(15) + 11
ŷ = 47
Therefore, the predicted number of hits on day 15 is 47 hits.
Learn more : brainly.com/question/25306217
Answer:
Brad drank 1/8 bottle more water.
Step-by-step explanation:
Answer:
Chloe received $11 as change if she gave the clerk $50
Step-by-step explanation:
We are given that Chloe purchased a sweater that cost $24, and a shirt that cost 5/8 times as much as the sweater.
Cost of sweater = $24
Cost of shirt =
So, Total cost of shirt and sweater = 24+15=39
Now She gave $50 to clerk
So, Change received by her = 50-39=11
So, Chloe received $11 as change if she gave the clerk $50
