Answer:
4 nickels
12 dimes
Step-by-step explanation:
Dimes are worth .1 each while nickels are .05 each.
We have 8 more dimes than nickels. Let d represent number of dimes and n for number of nickels. This means we have d=8+n.
If all our nickels and dimes together are worth 1.4 then we have another equation .1d+.05n=1.4
Lets put our equations together:
d=8+n
.1d+.05n=1.4
‐-----------------Plug first equation into second.
.1(8+n)+.05n=1.4
Distribute
.8+.1n+.05n=1.4
Combine like terms
.8+.15n=1.4
Subtract .8 on both sides
.15n=.6
Divide both sides by .15
n=.6/.15=4
Remember there are 8 more dimes so d=8+4=12.
I need help asap!!Explain how to do the problem
Answer:
Step-by-step explanation:
the scale factor is 2. one length is 10, and the other is 5. pythagorean therom approved.
Which expression is equivalent to 10k + 17 - 7j - 18 - 11k? A. -8jk - 1 B. -7j - k - 1 C. -7j+k+1 D. -8j - k
Answer:
B
Step-by-step explanation:
10k + 17 - 7j - 18 - 11k
-k - 7j - 1
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 years after the city was first established
Answer:
36900
Step-by-step explanation:
It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900
Answer:
36,900
Step-by-step explanation:
First do 600 times 60=36,000
Next add 900
36,000+900=36,900
theres your answer :)
Fergus has 314 cups of oats. She uses 223 cups of oats to make oatmeal bars, then borrows 1 cup of oats from her neighbor. She wants to make blueberry oat muffins. The recipe calls for 134 cups of oats. Does she have enough? How much will she have left over, or how much more will she need?
�� Yes, she has 34 cup left.
�� No, she needs 34 cup more.
�� Yes, she has 16 cup left.
�� No, she needs 16 cup more
Answer:
No, she needs 1/6 cup more
Step-by-step explanation:
She has 3 1/4 cups
She uses 2 2/3
Subtract
3 1/4 - 2 2/3
Get a common denominator of 12
3 1/4 *3/3 - 2 2/3 *4/4
3 3/12 - 2 8/12
Borrow 1
2 12/12 +3/12 - 2 8/12
2 15/12 - 2 8/12
7/12
She borrows 1 cup
1 7/12
She needs 1 3/4 *3/3 =1 9/12
She is short
1 9/12 - 1 7/12 = 2/12 or 1 /6
Answer:
Yes, she will has 34 cups left
Step-by-step explanation:
**25 POINTS**
Which of the following lists of ordered pairs is a function?
Answer: A
Step-by-step explanation: A function is when every domain (x value) corresponds to one range (y value) so that it passes the vertical line test
I am so confused..please help 0-0
Teresa earns $8.23 per hour. Calculate her wage for a week where she
works 14h 30min.
Answer:
$119.335
Step-by-step explanation:
8.23 per hour
14h 30 mins = 14.5 hrs
8.23*14.5 = 119.335
Answer:
238.67
Step-by-step explanation:
What is the image of (-5,-5) after a dilation by a scale factor of 3 centered at the origin
Answer:
(-15,-15)
Explanation:
The dilation of 3 to the image means that each coordinate point is multiplied by 3. So, multiplying -5*3 gets you -15.
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
Answer:
C = 6.28 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14(2)
C = 6.28 ft
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
To Find :The circumference of the circle Solution :Formula for getting the circumference
[tex] \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}[/tex]
Given data :
Diameter = 2 ft
π = 3.14
Radius = diameter/2 = 2 ft/2 = 1 ft
So the circumference is
Circumference = 2πrCircumference = 2 × 3.14 × 1 Circumference = 6.28 ftTherefore, the perimeter is 6.28 ft
7) 5(r + 2) = 8 + 57
Step-by-step explanation:
5r + 10 = 65
5r =65 - 10
r = 55/5
r = 11
Answer:
r=11
Step-by-step explanation:
you first have to work with the brackets and then group the like terms
5(r+2)=8+57
5r+10=65
5r/5=65-10
5r/5=55/5
r=11
I hope this helps
Find the surface area of the composite figure. 12 cm 11 cm 5 cm 7 cm 3 cm 4 cm 4 cm 12 cm SA = [?] cm? Enter
Answer:
116cm2
Step-by-step explanation:
ddyjjhffyyyttyu
Match the expression with its name. 6x3 - 9x + 3
Answer:
x is 1.7 add it by three and its 18 you can do this by doing 9 times 1.7 which gets you 15 and add it with three and it equals 6 times 3
Step-by-step explanation:
Consider triangle GHJ in the figure below.
please help :)
Answer:
The picture isnt really showing for me
Step-by-step explanation:
It's either me or the picture.
Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. The trip requires 35 seconds. What is his velocity?
Using Pythagorean triplet
[tex]\\ \sf\longmapsto AB^2=AC^2-BC^2[/tex]
[tex]\\ \sf\longmapsto AB^2=4^2-3^2[/tex]
[tex]\\ \sf\longmapsto AB^2=16-9[/tex]
[tex]\\ \sf\longmapsto AB^2=7[/tex]
[tex]\\ \sf\longmapsto AB=\sqrt{7}[/tex]
Now time=35[tex]\\ \sf\longmapsto Velocity=\dfrac{Displacement}{Time}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{\sqrt{7}}{35}[/tex]
[tex]\\ \sf\longmapsto Velocity=\dfrac{2.6}{35}[/tex]
[tex]\\ \sf\longmapsto Velocity=0.07m/s[/tex]
Which statement about this system of equations is true?
5
A.
The system has no solution.
The system has a unique solution at (0,0).
B.
C. The system has a unique solution at (0,3).
D. The system has infinitely many solutions.
Answer:
A
Step-by-step explanation:
No solution because the line will never intersect each other (cuz the gradient is the same)
Through (-1,2) parallel to the line x=5. Find an equation of a line that satisfies the given conditions.
Answer:
x= -1
Step-by-step explanation:
Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.
Given that the line passes through (-1, 2), the equation of the line is x= -1.
Parallel lines have the same slope and will never meet.
Mean of Frequency Tables
1. At a party, thirty people have an age of 30, forty have an age of 40 and fifty an age of fifty. What is their average age?
2. In a hardware shop, there are 30 spanners costing £6, 55 hacksaws costings £9 and 10 soldering irons costings £20. What is the average cost per item?
3. Using this frequency table, find the average height of a turnip.
Height (to nearest cm)
6cm 7cm 8cm 9cm 10cm
Frequency:
3 8 12 4 1
Answer: 1. 41.67years
2. £9.21
3. 7.75cm
Step-by-step explanation:
1. At a party, thirty people have an age of 30, forty have an age of 40 and fifty an age of fifty. What is their average age?
Total ages = (30 × 30) + (40 × 40) + (50 × 50) = 900 + 1600 + 2500 = 5000
Total number of people = 30 + 40 + 50 = 120
Average age = Total ages / Total number of people
= 5000/120
= 41.67 years
2. In a hardware shop, there are 30 spanners costing £6, 55 hacksaws costings £9 and 10 soldering irons costings £20. What is the average cost per item?
Total cost of items = (30 × £6) + (55 × £9) + (10 × £20) = £180 + £495 + £200 = £875
Total number of items = 30 + 55 + 10 = 95
Average cost per item = £875/95 = £9.21
3. Using this frequency table, find the average height of a turnip.
Height (to nearest cm)
6cm 7cm 8cm 9cm 10cm
Frequency: 3 8 12 4 1
Total height = (3 × 6cm) + (8 × 7cm) + (12 × 8cm) + (4 × 9cm) + (1 × 10cm) = 18cm + 57cm + 96cm + 36cm + 10cm = 217cm
Total number of turnips = 3 + 8 + 12 + 4 + 1 = 28
Average height = 217cm/28 = 7.75cm
In an interview for a secretary position at the dealer, a typist claims a tying speed of 45 words per minute. On the basis of 70 trials, she demonstrated an average speed of 43 words per minute with a standard deviation of 15 words per minute. Test at 5% significance level on the typist’s claim.
According to the typist claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic, reaching a conclusion that:
The p-value of the test is 0.1333 > 0.05, which means that there is not enough evidence to reject the typist's claim.
-------------------------------------------------------------
In an interview for a secretary position at the dealer, a typist claims a tying speed of 45 words per minute.
At the null hypothesis, we test if the mean is of at least 45, that is:
[tex]H_0: \mu \geq 45[/tex]
At the alternative hypothesis, we test if the mean is of less than 45, that is:
[tex]H_1: \mu < 45[/tex]
-------------------------------------------------------------
The test statistic is:
We have the standard deviation for the sample, so the t-distribution is used to solve this question
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
-------------------------------------------------------------
45 is tested at the null hypothesis:
This means that [tex]\mu = 45[/tex]
On the basis of 70 trials, she demonstrated an average speed of 43 words per minute with a standard deviation of 15 words per minute.
This means that [tex]n = 70, X = 43, s = 15[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{43 - 45}{\frac{15}{\sqrt{70}}}[/tex]
[tex]t = -1.12[/tex]
-------------------------------------------------------------
P-value of the test and decision:
The p-value of the test is found using a left-tailed test(test if the mean is less than a value), with 70 - 1 = 69 degrees of freedom and t = -1.12.
Using a t-distribution calculator, the p-value is of 0.1333.
The p-value of the test is 0.1333 > 0.05, which means that there is not enough evidence to reject the typist's claim.
A similar problem can be found at https://brainly.com/question/24241851
PLEASE HELP DUE TODAY
Answer:
is it your homework?
Step-by-step explanation:
Estimate the correlation coefficient that would best describe the data below.
Answer:
Last option
....... -0.4
Can some help me with this question :)
Answer:
3/7
Step-by-step explanation:
I think its only 3/7
Cause 9/18=1/2
3/5=0.6
2/10=1/5
and 8/24=1/3
Answer:
[tex] \frac{8}{24} [/tex]
[tex] \frac{2}{10} [/tex]
[tex] \frac{9}{18} [/tex]
Which expression is equivalent to
X^4
Jdnzusjdnekdjdnkdkelef
An isosceles triangle has one angle of 30 degrees. Calculate the possible sizes of the other 2 angles
Answer:
75 and 75
Step-by-step explanation:
Answer:
Hello,
Step-by-step explanation:
2 solutions:
30° is angle of the base: other angle of the base is 30° and the main angle is 180°-30°-30°=120°30° is the main angle, angles of the base are (180°-30°)/2=75° and 75°.Write the equation of the sinusoidal function shown.
Answer: A
It looks at though the graph moved down a unit, so definitely a (-1) at the end of the function. If you move the graph up a unit, you will notice that the y = cos x format, therefore, it's not C or D.The amplitude of the function is 1. So B and D are out because their amplitudes are 2.Therefore, the answer is A.
what is the value of x
Answer:
-10
Step-by-step explanation:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.
A car travels a distance of 800m in 40s find its speed
Answer:
the answer is 20m/s
Step-by-step explanation:
speed = distance/time which equals to speed = 800/40, so the answer is 20m/s
Answer:
20m /s
Step-by-step explanation:
Speed = [tex]\frac{Distance}{time}[/tex]
[tex]= \frac{800}{40}=\frac{80}{4}= 20[/tex]
Can you answer this, please?
Answer:
-x² + 13x + 2
Step-by-step explanation:
you are on ambitious level, and you cannot answer that yourself ? that is trivial. truly. no hidden traps, just straight forward adding and simplifying. what is the problem, please ?
-7x² + 6x² = -x²
5x + 8x = 13x
-1 + 3 = 2
Answer:
3rd option
Step-by-step explanation:
Given
(- 7x² + 5x - 1) + (6x² + 8x + 3) ← remove parenthesis
= - 7x² + 5x - 1 + 6x² + 8x + 3 ← collect like terms
= - x² + 13x + 2
Simplify the following:
a. 9 sinA +33 cosec A + 10 sin A - 13 cosec A
Answer:
19 sin + 20 cosec
explanation
9 sin A + 10 sinA + 33 -13 cosecA
19 sin + 20 cosec
2. Write down the supplementary angle of each of the following angles are 105 degree.
Answer:
75
Step-by-step explanation:
Answer:
75°Step-by-step explanation:
Supplementary angles add up to 180°.
The angle x, supplementary with 105°:
x + 105° = 180°x = 180° - 105°x = 75°Translate the phrase into an algebraic expression.
The product of 9 and y
Answer:9*y or 9y
Step-by-step explanation:
