Answer:cost of each donut =$4
and cost of each cup of hot chocolate =$2
Step-by-step explanation:
Step 1
Let donuts be represented as d
and cups of hot chocolate be rep as c so that
5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as
5 d+ 2 c= 24
And 2 donuts and 3 cups of hot chocolate costing 14$ will be expressed as
2d +3 c= 14
Step 2
Using elimination method,Multiply equation 1 by 3 and equation 2 by 2
15d+ 6c= 72----equation 3
4d+ 6c= 28-----equation 4
Subtracting equation 4 from equation 3 gives us
11 d=44
d= 44/11
d= 4
To find c, using equation 1
5 d+ 2 c= 24
5 x 4+ 2c=24
20+2c=24
2c=24-20
2c=4
c=4/2 =2
cost of each donut =$4
and cost of each cup of hot chocolate =$2
Points A, B, C, and D are vertices of a square. Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D.
Answer:
To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE
The diagonal can be determined by applying Pythagorean's theorem
Step-by-step explanation:
To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE
The diagonal can be determined by applying Pythagorean's theorem
Write each power as a product of the same factor. Then find the value. 7^2
Answer:
49
Step-by-step explanation:
7^2=49
Does anyone know how to solve this?
Answer:
1st one is (-7,1) 2nd one is (6,-7)
Step-by-step explanation:
Plot the real number on the x axis and the imaginary number on the y axis.
Write three different equations that match the tape diagram.
40
19
х
х
х
X
х
х
х
Pls answer quick
Answer:
19+7x=40
40-19=7x
40-7x=19
Simplify to create an equivalent expression. 8(10-6q)+3(-7q-2)}8(10−6q)+3(−7q−2)
Answer:
-69q+74
Step-by-step explanation:
Distribute:
80-48q-21q-6
Simplify:
74-69q
The table shows the relationship between the average number of hours students studied for a mathematics test and their
average grade.
Hours
Studied
Average
Grade
0
62
1
78
2
85
5
74
Which type of function is most likely to model these data?
A
linear function with positive rate of change
O
B
linear function with negative rate of change.
non-linear function that decreases then increases
D
non-linear function that increases then decreases
Answer:
D
Step-by-step explanation:
I'm going to ponder a guess that the numbers shown, 0, 62, 1, 78, 2 ,etc. are part of a table. Having said that, the answers, when graphed, create a sort of parabola, meaning that the function itself is non-linear. This exterminates option A and B. Now its just a matter of seeing which way it goes, and since 78 is higher than 62, and 85 is higher than 78, it obviously increases, rather than decreases. This makes D our final answer.
which function has the steepest slope 2x-12 and y= 9- 3x
x+y =0
3x+y=16
x-y+4=8
In this diagram, the measure of
Answer:
2x - 60 = 180
Step-by-step explanation:
Angles RQS and PQS form a linear pair, so they are supplementary.
The sum of their measure is 180°.
Both angle measures are unknow, so let's use x for the measure of <PQS.
The measure of angle RQS is 60° less than the measure of <RQS, so it is
x - 60
Now we add the measures and set the sum equal to 180.
x + x - 60 = 180
Combine like terms on the left side.
2x - 60 = 180
Answer: 2x - 60 = 180
6-8 weeks i hope this help:)
Answer:
I have no idea but okay
(x - 2)(2x + 3)(x + 5) can be written in the form ax + bx² + cx + d.
where a and b are positive integers, and c and d are negative integers.
Find the values of a, b, c and d.
a =
b =
C=
d =
Answer:
B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to
Answer:
2x^3 + 9x^2 - 11x - 30
so a=2, b=9, c= -11 and d= -30
SOMEONE HELP PLEASE!! ITS DUE AT 16:00 UK TIME ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
Answer:
From left column to right
Left Right
1. 23a+18 1. 7a-6
2. 23a-6 2. 7a-18
3. 23a-18 3. 7a+6
4. 0a+4 4. 0a+0
Step-by-step explanation:
The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3
Answer is 15a+6+8a+12=
23a+18
Hope this helped :)
what did you put for #3?
Answer:
huh
Step-by-step explanation:
Watch help video
In ATUV, the measure of V=90°, the measure of ZU=58°, and TU = 38 feet. Find
the length of VT to the nearest tenth of a foot.
U
589
38
v
T
Х
Answer:
awit wala akong maintindihan. srna agad
A therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes, and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress.
Based on the 95% confidence interval, (–0.29, 0.09), is there convincing evidence of a difference in the true proportions of patients experiencing stress relief in the yoga and meditation groups?
There is convincing evidence because the two sample proportions are different.
There is not convincing evidence because the interval contains 0.
There is not convincing evidence because the interval contains both negative and positive values for the true difference.
Answer: Choice B
There is not convincing evidence because the interval contains 0.
========================================================
Explanation:
The confidence interval is (-0.29, 0.09)
This is the same as writing -0.29 < p1-p1 < 0.09
The thing we're trying to estimate (p1-p2) is between -0.29 and 0.09
Because 0 is in this interval, it is possible that p1-p1 = 0 which leads to p1 = p2.
Therefore, it is possible that the population proportions are the same.
The question asks " is there convincing evidence of a difference in the true proportions", so the answer to this is "no, there isn't convincing evidence". We would need both endpoints of the confidence interval to either be positive together, or be negative together, for us to have convincing evidence that the population proportions are different.
There is not convincing evidence because the interval contains 0.
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
We have, the confidence interval as (-0.29, 0.09)
and, the same as writing -0.29 < p1-p1 < 0.09
Now, as the interval is 0 then
p1 - p2 = 0
p1 = p2
There is a chance that the population ratios are identical.
So, there isn't convincing evidence.
For us to have strong evidence that the population proportions are different, the ends of the confidence interval must be either positive together or negative together.
Learn more about Confidence Interval here:
https://brainly.com/question/24131141
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Which statement is true?
A
0.265 <0.3
B
0.265 >0.3
C
0.265 =0.3
Answer:
Step-by-step explanation:
265 < 300, so 0.265 < 0.3
Simplify Please and Thank you!
Answer:
[tex]2\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{24} \\= \sqrt{4} * \sqrt{6}\\= 2\sqrt{6}[/tex]
What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.
Answer: 5 m
Step-by-step explanation:
Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart. 7 x 5. So 7 is the height and 5 is the base.
Check answer: A = 1/2xbxh
A = 1/2 x 7 x 5
A = 1/2 x 35
A = 17.5 sq m
Lisa set a weekly goal of jogging 18 miles. In each of the first 3 days, he jogged 2 2/3 miles. How many more miles must he run to reach his goal?
Answer:
Step-by-step explanation:
3(2+(2/3))+x=18
3(8/3)+x=18
(24/3)+x=18
8+x=18
x=10
He must run another ten miles.
Answer:
10.88
Step-by-step explanation:
3 * 2 3/8 = 6 9/8 = 7 1/8 miles
0.6h=13.02 show work
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Answer:
21.7
Step-by-step explanation:
0.6h=13.02
h=13.02/0.6
h=21.7
Is (3,15) a solution for y = 5x
Answer:
yes
Step-by-step explanation:
15 = 5(3)
15 = 15
Answer:
Yes
Step-by-step explanation:
15 = 5(3)
15 = 15
whats the answer to 5+6x=2-7
Answer:
x= -5/3
Step-by-step explanation:
hope this helps :) have a nice day !!
Lengths
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
9.5, 14.5, 4.5
3, 18,9
5, 15,8
27, 8,7
Answer:
9.5 14.5 and 4.5
Step-by-step explanation:
That’s correct
Miguel baked 42 cookies for a charity bake sale. He made packages with 3 cookies in each. What equation can be used to find how many packages, p, of cookies Miguel made?
Answer:3p=42 (p=14)
Step-by-step explanation:
Since there are 3 cookies in each pack you would need to divide.
can anyone help me? I'm so lost on this question. thanks!!
Answer:
a. -21
b. -16
c. -11
d. -9
Step-by-step explanation:
if x is less than -2, then u have to use the equation 5(x)-1
if x is greater than or equal to -2, then you have to use the equation (x)-9
Answer:
Step-by-step explanation:
This is a ‘piece wise function’ meaning it has different functions depending on the value of the independent variable, x.
So for questions a and b where x<-2 you sub the x value into the top equation, 5x-1.
f(-4)=5(-4)-1=-20-1=-21
f(-3)=5(-3)-1=-15-1=-16
Since the second two x values are not less than -2, you sub the x values into the second equation x-9
f(-2)=-2-9=-11
f(0)=-0-9=-9
a rectangle measuring 4m by 3m
Answer:
If you are asking the area it is 12
Step-by-step explanation:
Answer:
Area: 4 x 3 = 12m
Perimeter: 4 + 3 + 4 + 3 = 14m
Step-by-step explanation:
I hope this helps u! :D
Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 miles 1.2 miles
Answer: 8.4 miles
Step-by-step explanation:
d = rt
Solve for her rate
21 = 5r
r = 21/5
r = 4.2
Solve for if the time is 2 hours and rate (solved previously) is 4.2
d = 4.2*2
d = 8.4
The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the total distance ran by Rebecca be D = 21 miles
The time taken by her to travel 21 miles T = 5 hours
So , the speed of Rebecca S = D / T
On simplifying , we get
S = 21/5
S = 4.2 miles per hour
Therefore , the speed of Rebecca is 4.2 miles / hour
Now , let the time taken be T₂ = 2 hours
So , the distance traveled in 2 hours , D = ST₂
D = 4.2 x 2
D = 8.4 miles
Hence , the distance traveled is 8.4 miles
To learn more about speed click :
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ralph and edie each solved the equation (x-7)^2 - 100 = 0. ralph says the correct answer is x= -3. who is correct? how do you know?
factor tree 50 and 75 math
Answer:
2 x 25 (50)
3 x 25 (75)
Step-by-step explanation:
Identify the slope in the equation y= x - 2
Answer:
the slope is 1
Step-by-step explanation:
What is the perimeter of JKL?
Answer:
The perimeter of JKL is 60 units.
Step-by-step explanation:
The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.