Answer:
15c+70b[tex]\leq[/tex]112000
Step-by-step explanation:
Truck could carry 7000 pounds.
There are 15 ounce cans and 70 ounce bottles.
There are 'c' number of 15 ounce cans and 'b' is the number of 70 ounce bottles.
So, C number of cans can carry 15C ounces
'b' number of bottles can carry 70b ounces
So, we can set up inequality as
15c+70b[tex]\leq[/tex]112000
Please help thanks! Brainliest
[tex]5[/tex] ✅
Step-by-step explanation:
[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Answer:
12.5
Step-by-step explanation:
14+6²÷(-4)
=14+6×6÷(-4)
=14+36÷(-4)
=50÷-4
=12.5
Which choice is a correct equation for the line graphed below?
Please hurry!!!
Answer:
y = 3x + 1
Step-by-step explanation:
The y - intercept is +1
And the rise over run = 3/1 (because 3 is also 3/1)
Pictures are attached.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
A) y=3x+1
1 is the y-intercept (it is on the y axis)
you start at the 1 on the graph where the line passes through, then go 3 squares up and 1 to the right to land on the line again. This is rise over run, which you rise 3 squares up from 1, then run 1 square to the right. 3/1 = 3
If Andrea traveled 300 miles in 5 hours at what rate was she driving?
Answer:
60
Step-by-step explanation:
[tex]\frac{300}{5}[/tex]
60
Hence, 60 is the answer
Answer:
60 mph
Step-by-step explanation:
For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:
[tex]300[/tex]÷[tex]5=60[/tex] miles.
So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.
Andrea was driving at 60 mph.
I hope this helps! Please let me know if you have any questions :)
Danielle purchased a picture frame with an area of 120 cm^2. She measured the length to be 10 cm. What is the width? Danielle has another picture frame with an area of 288 cm^2 and the same width. What is the length of the second frame?
Answer:
Step-by-step explanation:
the width of the first frame is 12cm because 120/10 = 12
the length of the second frame is 24cm because 288/12 = 24
the expanded form of 6,398 is
Answer:
The expanded form of 6,398 is 6000 + 300 + 90 + 8
Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account after 15 years? Use the formula A(t) = P*e^rt to solve the problem. (round to the nearest hundredth)
Answer:
A = $ 4188.38
Step-by-step explanation:
A= $2500
r = 3.5% = 0.035
t = 15years
n = 1
[tex]A = P(1 + r)^t[/tex]
[tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]
At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?
Answer:
-14-2= -16
I hope it helps :)
Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the. m=-16. What is the value of b?
Answer:
You wrote the question wrong...
m is not -16 it is -1/6 (that is a big difference)
y=mx+b
y=-1/6x+b
3 = -1/6(12) + b
3 = -2 + b
b=5
Step-by-step explanation:
Two similar triangles have a scale factor of 2 : 3. For numbers 7a – 7d, determine whether each statement about the triangles is true or false.
7a. The ratio of their perimeters is 2 : 3. True or False
7b. The ratio of their areas is 4 : 6. True or False
7c. Their perimeters could be 14 cm and 21 cm. True or False
7d. Two corresponding sides could be 6 in and 7 in. True or False
Answer:
Step-by-step explanation:
Two similar triangles have a scale factor of 2 : 3.
7a. The ratio of their perimeters is 2 : 3.
As the sides are 2 : 3, the perimeters which are sums of all sides will also be 2 : 3
True
7b. The ratio of their areas is 4 : 6. True or False
As the sides are 2 : 3, the areas which are the products of two sides will be in the ratio of 2*2 : 3*3 = 4 : 9
False
7c. Their perimeters could be 14 cm and 21 cm. True or False
As the perimeter ratio for 14cm and 21 cm is 14 : 21 = 2 : 3 which complies with 7a. So they could be the perimeters.
True
7d. Two corresponding sides could be 6 in and 7 in. True or False
As the corresponding sides of 6in and 7in, the ratio is 6 : 7 and is different from 2 : 3. So they cannot be corresponding sides.
False
Answer:
Step-by-step explanation:
7a. perimeter=3 sides added so the ratio is the same
The ratio of their perimeters is 2 : 3.
True
7b. area= sidexside so the ratio is 2x2:3x3 = 4:9
The ratio of their areas is 4 : 6.
False
7c. 14:21 =2:3
Their perimeters could be 14 cm and 21 cm.
True
7d. 6:7 <> 2:3
Two corresponding sides could be 6 in and 7 in.
False
Need some assistance please
Answer:I hope this could help !ut the answer is 4
Step-by-step explanation:
2 of them left so there are 4 left
True or False
The radius of the circle is congruent to the radius of an inscribed regular polygon inside the circle.
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. The given statement is True.
What is a polygon?A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The given statement is true and can be observed in the given image below.
Hence, the given statement is True.
Learn more about Polygon:
https://brainly.com/question/10441863
#SPJ2
marcus purchased a sail boat for $56,900. he anticipates each year the boat will decrease in value by 8.1% from the previous year.
enter numbers in the boxes to write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Purchase price= $56,900
Decrease in value= 8.1% per year from the previous year
To calculate the value of the sailboat after x number of years, we need to use the following formula:
Future value= purchase price / (1 + decrease in value)^x
For 10 years:
FV= 56,900 / (1.081^10)
FV= $26,112.91
Bab need someone who can do quick mafs please!
Answer:
18.9 km²
Step-by-step explanation:
Formula for area of a triangle: [tex]\frac{1}{2}bh[/tex]
0.5(7 × 5.4) = 18.9 km²
Answer:
A = 1/2 bh
1/2 x 7 x 5.4
= 18.9km2
Please help asap thanks
According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92
Answer: B. 4.11
Step-by-step explanation:
Using Binomial distribution ( as the arrival times of workers are independent).
Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.
As per given ,
p= 0.06, n=300
Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]
[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]
Hence, the correct option is B.
What’s the Missing Side?
PLEASEE HELPP
Answer:
missing side =19 ft
Step-by-step explanation:
area of a triangle =base *height/2
57=base*6/2
57*2=base*6
114=base*6
114/6=base
19 ft=base
Can you please help and I will mark brainliest if its correct
Step-by-step explanation:
diamonds and hearts are red cards
spades and clubs are black cards
15+11=26
26/52 is the probability of selecting a black card, 50%
Factor 56−16 using the GCF.
do not give me a link
F of 56 :- 2 × 2 × 2 × 7
F of 16 :- 2 × 2 × 2 × 2
HCF of 56 - 15 is 6 .
The combination locks on the lockers at Hillside School have numbers from 0 through 39 (inclusive). A locker combination consists of three different numbers, where the order matters. Because of the way the locks are manufactured, all three numbers are even or all three numbers are odd. How many combinations are possible
Answer:
13680
Step-by-step explanation:
Since we have number from 0 to 39 inclusive, there are 40 number all together.
Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.
Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.
Question 1 (1 point)
Find the probability of the pointer landing on a new house.
New Car
New House
60 120
$10,000
New Boat
Оа
1
6
Ob
1
3
Ос
60
Od
1
Ā
Answer:
[tex]P(New\ House) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
See attachment
Required
[tex]P(New\ House)[/tex]
This is calculated as:
[tex]P(New\ House) = \frac{New\ House}{Total}[/tex]
From the attachment, we have:
[tex]New\ House = 60^o[/tex]
[tex]{Total}= 360^o[/tex] --- total angle in a pie chart
Note that the measurements must be converted to degrees (if not already in degrees).
So, we have:
[tex]P(New\ House) = \frac{60}{360}[/tex]
Simplify
[tex]P(New\ House) = \frac{1}{6}[/tex]
What is the cube root of 216xy18?
O 4xy
O 6xy
O 72xBy15
O 213x®y 15
write an equivalent logarithmic equation for e^x=24
Answer:
x=ln 24
Step-by-step explanation:
e^x=24
If we take the ln of both sides
ln e ^x= ln 24
x=ln 24
A researcher wanted to know if there was a difference in fall and spring semester tuition at universities across the U.S. His study took a random sample of 200 universities, had a p-value of 0.013 and found that the tuition had increased by an average of $0.35 between fall and spring semester. What can be said about the results of this study
Answer:
The given parameters of the study are;
The number of people in the sample, n = 200
The p-value = 0.013
The average increase between fall and spring semester = $0.35
Therefore, we have;
Given that the p-value is less than 0.05, we reject the null hypothesis, and that there is significant statistical evidence to suggest that there is a difference between the fall and spring semester tuition at universities across the U.S.
Step-by-step explanation:
The result of the test hypothesis is incorrect or should be rejected.
What is P-value?Researchers frequently use P-values to determine if a trend they've seen is statistically significant. The p-value of a statistical test is small enough to reject the null hypothesis of the test, which is referred to as statistical significance.
What is the significance of the P-value?The likelihood that the null hypothesis is true is P > 0.05. The likelihood that the alternative hypothesis is correct is (1-P) the P-value. The test hypothesis is incorrect or should be rejected if the test result is statistically significant (P≤0.05). There was no effect if the P-value was bigger than 0.05.
We reject the null hypothesis since the p-value is less than 0.05, and there is strong statistical evidence to imply that there is a difference between autumn and spring semester tuition at institutions across the United States.
Hence, the result of the test hypothesis is incorrect or should be rejected.
Learn more about P-Value:
https://brainly.com/question/15407907
An isosceles triangle has an angle that measures 120°. Which other angles could be in that isosceles triangle? Choose all that apply. 75, 50, 30, 25
Answer:
30.
Step-by-step explanation:
The 120 degree has to be the vertex angle.
The other 2 angles in the triangle will be congruent as the triangle is isosceles.
These 2 are both = (180-120) / 2
= 60/2
= 30 degrees.
find the percent change from 4/5 to 3/5
PLEASE HELP QUICKLY - ATTACHED BELOW MATHS
Answer:
113.081 mm²
Step-by-step explanation:
A semicircle is the half part of a circle. And we know that the semicircle have 24 mm of diameter, and the radius is 24/2 = 12 mm. The small circle is inside the semicircle, so its diameter is equal to the radius of the semicircle, and its radius is 12/2 = 6mm
Now, consider π = 3.141, the area of the small circle is:
π•6² = 3.141 • 36 = 113.076 mm²
The area of the semicircle is (π•12²)/2 = (3.141•144)/2 = 226.151 mm²
Now, you just subtract the areas:
226.151 - 113.076 = 113.081 mm²
If f (x) = 6x - 6, find f(-1).
Answer:
Step-by-step explanation:
1
Answer:
-12
Step-by-step explanation:
Hi Alyssa!,
For any x we multiply it by 6 and subtract 6 from it to get the F. The function tells us this. To find f(-1) it bassicly says what's f when x is -1. Well we know that. f is 6(-1)-6 whis is -12.
F is -12
JoeLouis2
The answer to this maths question
Given:
Toilet rolls com in packs of 4 and 9.
4-pack is priced at £2.04.
9-pack is priced at £4.68.
To find:
The pack that has better value by calculating the price per roll.
Solution:
We have, the 4-pack is priced at £2.04.
So, the price per roll for this pack is:
[tex]\dfrac{2.04}{4}=0.51[/tex]
In the pack of 4 rolls the price per roll is £0.51.
It is given that, the 9-pack is priced at £4.68.
So, the price per roll for this pack is:
[tex]\dfrac{4.68}{9}=0.52[/tex]
In the pack of 9 rolls the price per roll is £0.52.
Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.
PLEASE HELP QUICKLY!!! There is a tree standing in the desert; the sun is rising to the east.
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by
Answer:
The family of possible values for [tex]p[/tex] are:
[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
[tex]\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}[/tex] (1)
Where:
[tex]\theta[/tex] - Angle between vectors, in sexagesimal degrees.
[tex]\|\vec a\|, \|\vec b \|[/tex] - Norms of vectors [tex]\vec {a}[/tex] and [tex]\vec{b}[/tex]
If [tex]\theta[/tex] is acute, then the cosine function is bounded between 0 a 1 and if we know that [tex]\vec {a} = (p, 3, -7)[/tex] and [tex]\vec {b} = (p, -p, 4)[/tex], then the possible values for [tex]p[/tex] are:
Minimum ([tex]\cos \theta = 0[/tex])
[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0[/tex]
Maximum ([tex]\cos \theta = 1[/tex])
[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1[/tex]
With the help of a graphing tool we get the family of possible values for [tex]p[/tex] are:
[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]
The dot product between the two vectors is the product of the magnitude between them times cosine angle.
The possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].
To find the value of [tex]p[/tex] we need to perform the dot product of two equation.
How do you multiply vector in dot product?The dot product between the two vectors is the product of the magnitude between them times cosine angle
Given information-
The vector equation given in the problem is,
[tex]a = p\hat i +3\hat j - 7\hat k[/tex]
[tex]b = p\hat i - p\hat j +4\hat k[/tex]
For acute angle, the dot product of [tex]a,b[/tex] less than equal to zero.
Thus,
[tex]a .b<0[/tex]
Put the values,
[tex](p\hat i +3\hat j - 7\hat k)(p\hat i - p\hat j +4\hat k)<0[/tex]
In the dot product the multiplication of different unit vector is zero. Thus,
[tex]p^2-3p-28<0[/tex]
Factorize above equation using the split the middle term method as,
[tex]p^2-7p+4p-28<0\\(p-7)(p+4)<0[/tex]
As the factor of the above equation is 7 and -4.
Thus the possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].
Learn more about the dot product here;
https://brainly.com/question/9956772
