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alukav5142 [94]
2 years ago
13

a box contains 1 3/4 pounds of pancake mix. Jada used 7/8 pound for a recipe. What fraction of the pancake mix in the box did sh

e use?
Mathematics
1 answer:
ololo11 [35]2 years ago
6 0

Answer:

Jada used 1/2 of the pancake mix in the box

Step-by-step explanation:

we know that

1\frac{3}{4}\ pounds -----> represent the 100% of the box

so

by proportion

Find what fraction represent \frac{7}{8}\ pounds

First convert mixed number to an improper fraction

1\frac{3}{4}\ pounds=\frac{1*3+4}{4}=\frac{7}{4}\ pounds

\frac{100}{(7/4)}=\frac{x}{(7/8)}\\ \\x= 100*(7/8)/(7/4)\\ \\x=50\%

Convert the percentage into fraction

50\%=50/100=1/2

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In a random sample of 90 students in first grade, the mean hours of sleep per night was 9.2 with a standard deviation of 0.37 in
ss7ja [257]

Answer:

Option C is right

Step-by-step explanation:

Given are two samples

I group has sample size 90, mean = 9.2 and std dev =0,.37

II group has sample size 70, mean = 7.3 and std dev = 0.58

we find that mean difference i.e. difference between mean hours of sleep between two groups

= 9.2-7.3 = 1.9

Std error for difference = 0.0620

Since sample size is sufficiently large we can use Z critical for 99%

i.e. 2.58

Margin of error =±2.58(0.062)

=0.16

Hence confidence interval 99% for difference in hours of sleep

= (1.9-0.16,1.9+0.16)

=(1.74, 2.06)


5 0
2 years ago
Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the num
Nikitich [7]
Find h(x)
f(x)+g(x)=5x+15+4x+20=9x+35

ok so if gertrude works 4
f(x)=5x+15
f(4)=5(4)+15
f(4)=35

if we input 4 for x in f(x) to find how much made togethe rin 4 hours
h(4)=9x+35
h(4)=9(4)+35
h(4)=36+35
h(4)=71

split evenly?
71/2=35.5

frankalone=35 for 4 hours
frankwithgertrued=35.5 for 4 hours
slightly bettewr with gerturde
5 0
2 years ago
Three orders are placed at a pizza shop. two small pizzas, a liter of soda, and a salad cost $14; one small pizza, a liter of so
mojhsa [17]
To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:

let x cost of small pizzas
     y cost of soda
     z cost of salad
 
two small pizzas, a liter of soda, and a salad cost $14
2x + y + z = 14

one small pizza, a liter of soda, and three salads cost $15

x + y + 3z = 15

three small pizzas, a liter of soda, and two salads cost $22
3x + y + 2z = 22

Solving for x, y and z, we will have:

x = $ 5
y = $ 1
z = $ 3
6 0
2 years ago
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Loo
sladkih [1.3K]
The error.....Kelvin just figured the 60% markdown cost...not the final price

the final price would be : 30.65 - 0.60(30.65) = 30.65 - 18.39 = 12.26
so 12.26 is the final price

or another way to do this is : if it is marked down 60%, then u r actually paying 40%......0.40(30.65) = 12.26
6 0
2 years ago
Read 2 more answers
The following curve passes through (3,1). Use the local linearization of the curve to find the approximate value of y at x=2.8.
Artist 52 [7]

d/dx (2 x^2 y + y = 2x + 13) 4xy + 2x^2 y' + y' = 2 4xy + y'(2x^2 + 1) = 2 y' = (2- 4xy)/(2x^2 +1)

<span>ow we can use this in a linear equation for a slope Ty = -5x/8 +5(3)/8 +8/8 = -5x/8 +(15+8)/8 = -5x/8 +23/8 this will gives us an approximation at x=2.8 now</span>

3 0
2 years ago
Read 2 more answers
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