Answer:
At 53 mph, he traveled for 1.5 hours
At 58 mph, he traveled for 2 hours
Step-by-step explanation:
Mathematically;
distance = speed * time
let the time for the first part of the trip be x hours and the second part be y hours
Total hours is 3.5
So therefore;
x + y = 3.5 ••••••••(i)
Now let’s work with the rate
53 mph for x hours = 53 * x = 53x miles
58 mph for y hours = 58 * y = 58y miles
Adding both;
53x + 58y = 195.5 miles ••••••••(ii)
We have two equations to solve simultaneously
From i, x = 3.5 - y
insert into ii
53(3.5-y) + 58y = 195.5
185.5 - 53y + 58y = 195.5
5y = 195.5-185.5
5y = 10
y = 10/5
y = 2 hours
x = 3.5 - y
x = 3.5 - 2
x = 1.5 hours
4(3x + 2) = 4(2x + 3) + 4x
Answer:
x = -4
Step-by-step explanation:
4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)
12x + 8 = 8x + 12 + 4x (collect like terms)
12x + 8 = 13x + 12 (subtract 12x on both sides)
8 = x + 12 (subtract 12 on both sides)
-4 = x
Hope this helps ya!
what is the slope (5,7) and (2,-2)
Answer:
slope = 3
Step-by-step explanation:
to find the slope you do (y2-y1)/(x2-x1)=m
so we can plug the points into this formula
(5,7) (2,-2)
x1 y1 x2 y2
-2-7/2-5=m
-9/-3=m
Simplifies to
3=m
HELP ME ASAP!!
Write a rule for the nth term of the geometric sequence using the given information: a1= 5 and r=2
Answer:
[tex] \huge A (n) = 5 ({2})^{n - 1} \\ [/tex]
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]A(n) = a _ 1( {r})^{n - 1} [/tex]
a1 is the first term
r is the common ratio
From the question we have the final answer as
[tex]A (n) = 5 ({2})^{n - 1} [/tex]
Hope this helps you
Give the factors for the numerator [n] and denominator [d] after reducing.
Answer:
The factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]
[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is _____ as large as the principal times the monthly interest rate.
Answer:
at least
Step-by-step explanation:
A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is AT LEAST as large as the principal times the monthly interest rate.
The correct word that missing in the statement is at least.
Given that, a statment is given we have to determine which word is missing the statment.
What is the investment?Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.
The monthly payment being at least equal to the principal multiplied by the monthly interest rate is a reasonable estimate for a long-term loan with a moderate or high-interest rate. So the correct statement is given as,
"A fairly good estimate for a long-term loan with a moderate or high-interest rate is that the monthly payment is at least as large as the principal times the monthly interest rate."
Thus, the correct word that missing in the statement is at least.
Learn more about investments here:
https://brainly.com/question/15353704
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A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?
Answer:
No, every student will have 3.2 minutes
Answer:
Each student has approximately 3 minutes and 12 seconds.
Step-by-step explanation:
You divide the total amount of minutes by the total amount of students. 48/15=3.2
After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds
Consider the statement: "The president of the United States is a United States citizen."
Is the statement a grammatically correct sentence?
What is the subject of the sentence? What is the verb in the sentence?
Is the sentence true?
45/43 as a percentage rounded to the nearest tenth?
Answer:
104.65116279%
Step-by-step explanation:
Answer:
104.7 % to the nearest tenth.
Step-by-step explanation:
Multiply the fraction by 100:
= (45*100)/43
= 104.651.
Counting up on a number line starting at 0 corresponds with what numbers
5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.
What is the ratio of skirts to pants? (1 point)
A 4:3
B 4:9
C 3:9
D 3:4
Curriculum Associates, LLC
SHOW YOUR WORK
asia is a chef in a restaurant to prepare for dinner service she chopped 7 1/2 onions into 1/6 of an hour what is Asia's rate of chopping in onions per hour
let f(x) = x^4 -4x^2 +3x find f(-3) a.-54 b.36 c.-126 d.108
Answer:
b. 36
Step-by-step explanation:
Evaluate x^4 - 4 x^2 + 3 x where x = -3:
x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3
Hint: | Evaluate (-3)^2.
(-3)^2 = 9:
(-3)^4 - 49 - 3×3
Hint: | Determine the sign of (-3)^4.
(-3)^4 = (-1)^4×3^4 = 1×3^4:
3^4 - 4×9 - 3×3
Hint: | Compute 3^4 by repeated squaring.
3^4 = (3^2)^2:
(3^2)^2 - 4×9 - 3×3
Hint: | Evaluate 3^2.
3^2 = 9:
9^2 - 4×9 - 3×3
Hint: | Evaluate 9^2.
9^2 = 81:
81 - 4×9 - 3×3
Hint: | Multiply -4 and 9 together.
-4×9 = -36:
81 + -36 - 3×3
Hint: | Multiply 3 and -3 together.
3 (-3) = -9:
81 - 36 + -9
Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.
81 - 36 - 9 = 81 - (36 + 9):
81 - (36 + 9)
Hint: | Evaluate 36 + 9 using long addition.
| 1 |
| 3 | 6
+ | | 9
| 4 | 5:
81 - 45
Hint: | Subtract 45 from 81.
| 7 | 11
| 8 | 1
- | 4 | 5
| 3 | 6:
Answer: 36
Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.
Pls show step-by-step! :)
A sales manager analyzed the sales, in dollars, y, of beach products compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r = 0.75.
Which conclusion is most appropriate based on the correlation coefficient of the data?
There is a strong positive relationship, therefore as x increases, y increases.
There is a strong positive relationship, therefore as x increases, y decreases.
There is a weak positive relationship, therefore as x increases, y increases.
There is a weak positive relationship, therefore as x increases, y decreases.
Answer:
There is a strong positive relationship, therefore as x increases, y increases
Step-by-step explanation:
Choose all the expressions that are equal to 0.7 × 0.41.
A. 7100×41100
B. 710×41100
C. 7100×4110
D. 710×4110
E. 70100×41100
Answer:
None of the expressions is equal to 0.7 x 0.41.
Step-by-step explanation:
Given that 0.7 x 0.41 is equal to 0.287, to determine which options are equal to said operation, the calculations set out for each of them must be performed:
A. 7,100 × 41100 = 291,810,000
B. 710 × 41100 = 29,181,000
C. 7100 × 4110 = 29,181,000
D. 710 × 4110 = 2,918,100
E. 70100 × 41100 = 2,918,100,000
Therefore, looking at all the results produced by the predisposed calculations, it is evident that none of the expressions is equal to 0.7 x 0.41.
There is no expression equivalent to the given expression and this can be determined by using the arithmetic operations.
Given :
Expression -- 0.7 × 0.41
The arithmetic operations can be used in order to evaluate the given expression.
[tex]0.7\times 0.41 = 0.287[/tex]
Now, check all the options in order to determine the correct option.
A) 7100×41100
Evaluate the above expression by using the arithmetic operations.
[tex]7100\times 41100 = 291810000[/tex]
Therefore, this option is incorrect.
B) 710×41100
Evaluate the above expression by using the arithmetic operations.
[tex]710\times 41100 = 29181000[/tex]
Therefore, this option is incorrect.
C) 7100×4110
Evaluate the above expression by using the arithmetic operations.
[tex]7100\times 4110 = 29181000[/tex]
Therefore, this option is incorrect.
D) 710×4110
Evaluate the above expression by using the arithmetic operations.
[tex]710\times 4110 = 2918100[/tex]
Therefore, this option is incorrect.
E) 70100×41100
Evaluate the above expression by using the arithmetic operations.
[tex]70100\times 41100 =2881110000[/tex]
Therefore, this option is incorrect.
For more information, refer to the link given below:
https://brainly.com/question/25834626
Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123
Answer:
En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.
Step-by-step explanation:
Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:
E + HP = 5 x C
E = 3 x C
C + HP = 123
Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:
Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.
Entonces, las equivalencias son las siguientes:
E = 3C
HP = 2C
Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.
A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).
The measure of angel B is (3x - 4)º and the measure of angel D is (2x - 6)°. What are the measures of angles B and D?
Answer:
b=110 d=70
Step-by-step explanation:
Answer:
110 70
Step-by-step explanation:
What is the slope of the line?answer
Answer:
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
Step-by-step explanation:
Answer:
The slope of the line is -2.
Step-by-step explanation:
Because the line is going down from left to right it is considered a negative slope. The rise is -2 and the run is 3, so the slope of the line in integer form is -2.
But, if it was in fraction form the slope would be -2/3.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
First answer is brainiest
Explain you're answer even if its just a bit because I'm tired of people giving me random answers so I fail its annoying.
Answer:
D
Step-by-step explanation:
So you are looking for the inverse equation. The original can be written as y=1/2x-6. For the inverse, your variables switch places. It's reflecting across the line y=x (that's what the inverse does). So you write it as x=1/2y-6. Now solve for the new equation:
Move 6 over: x+6=1/2y
Isolate y: 2(x+6)=y
This gets you D.
Number 12 thank you ASAP
Answer:
0
Step-by-step explanation:
A slope of a straight, horizontal line is 0 as it is not going up or down.
Answer:
B) 0
Step-by-step explanation:
When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.
y= ___ is slope of 0
x= ___ is slope of undefined
MADKING BRAINIEST!!Complete the following ratio table so that each pair represents the same rate.
Answer:
3=15
4=20
5=25
Step-by-step explanation:
bold are the answers
In a fruit basket there are 9 bananas 4 apples and 3 plums 1. The ration of bananas to apple is ________:_________. 2. The ration of plums to apples is __________to________. 3. For every __________apples, there are ______plums. 4. For every 3 bananas there is one _________.
Answer:
1. 9:4 2. 3:4 3. for every 4 apples there are 3 plums 4. plum
Step-by-step explanation:
1. there are 9 bananas and there are 4 apples.
2. there are 3 plums and there are 4 apples
3. there are 4 apples so there are 3 plums
4. 9 divided by 3 = 3. 3 divided by 3 = 1
PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT
White an equation in slope intercept form whose slope is 10 and y intercept is -3.
Answer:
y = 10x - 3
Step-by-step explanation:
Answer:
f(x)=10x+-3
f(x)=mx +b
m= slope
b= y intercept
Step-by-step explanation:
Where is the punctuation error in this sentence?
More people came to the meeting1 than had been expected. They were standing2 in the aisles3 in the hall,4 and on the front steps.
Answer:
That is that It is Most not More
Answer:
It is number 3
Step-by-step explanation:
Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?
Answer:
I think it’s A,C, and E
Step-by-step explanation:
I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .
Which of the following angle pairs are alternate interior angles? Choose all that apply. (2 points)
A. Angles 1 and 4
B. Angles 8 and 6
C. Angles 5 and 6
D. Angles 2 and 3
E. Angles 8 and 7
F. Angles 3 and 6
Answer:
A. Angles 1 and 4
D. Angles 2 and 3
Step-by-step explanation:
Alternate interior angles are a pair of angles which alternate each other lying on either side of the transversal but within the two parallel lines that is cut across by the transversal.
In the diagram above, the following are alternate interior angles:
<1 and <4,
<2 and <3
Answer:
A and D
Step-by-step explanation:
A circular lawn has a row of bricks around the edge. The diameter of the lawn is
about 40 feet.
Question 1
3 pts
Which is the best estimate for the amount of grass in the lawn?
125 feet
125 square feet
1,250 feet
1250 square feet
Answer:
Step-by-step explanation:
Answer:
Area of the grass in the circular lawn is 1250 square feet
Step-by-step explanation:
Lawn is in the shape of circle having radius = 20 feet
Area of the circular lawn will be represented by the formula,
Area = πr² [ Here 'r' = Radius of the circular lawn]
= (3.14)(20)²
= 3.14 × 400
= 1250 square feet
Therefore, area of the grass in the circular lawn will be 1250 square feet
Answer:
1250 square feet
Step-by-step explanation:
A = pie × radius^2
25 yd
22 yd
The height is approximately
yards. (Round to the nearest tenth.)
Answer:
30 and 20
Step-by-step explanation:
May u please help me ill give out the brainly
Answer: The answer that I think is A
sry if wrong
(GIVING BRAINLIEST AND EXTRA POINTS TO WHO HELPS ME!!)
Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?
A) ten and forty two ninetieths pounds
B) ten and sixteen twenty firsts pounds
C) eleven and forty two ninetieths pounds
D) eleven and sixteen twenty firsts pounds
Answer:
11 7/15 (Not listed on paper!)
Step-by-step explanation:
6 12 /15 + 4 4 /6 =
(6 + 4) + ( 12 /15 + 4/ 6 )
= 10 + 12 × 2
15 × 2
+
4 × 5
6 × 5
= 10 +
24 /30
+
20 /30
= 10 +
24 + 20 /30
= 10 +
44 /30
= 10 +
44 ÷ 2
30 ÷ 2
= 10 +
22 /15
= 10 +
1 7 /15
=
11 7 /15
(Eleven and seven fifteenths)
[Sorry but all of the answers you gave are all wrong!]