Answer:
Step-by-step explanation:
96:24
96 divide by 24 = 4
so it would be 4 cars to 1 truck
so 4:1
Answer:
4:1 Explanation: because of how when you divide the two its 4 and there's one truck left
4×=32 how do i solve this
Answer:
x=8
Step-by-step explanation:
You divide both sides by 4 to get x alone.
Answer:
x = 8
Step-by-step explanation:
4x divied by 4 is x. 32 divided by 4 is 8.x = 8Write in standard form (100 x 3)+(4 x 0.1)+(7 x 0.001)
Answer:
300.407
Step-by-step explanation:
100*3=300
4*0.1=0.4
7*0.001=0.007
----------------------
300+0.4+0.007
300.407
USING SUBSTITUTION, WHAT IS
Y=-×-6
Y=×-4
Answer:
x=-1, y=-5. (-1, -5).
Step-by-step explanation:
y=-x-6
y=x-4
----------
-x-6=x-4
-x-x-6=-4
-2x-6=-4
-2x=-4+6
-2x=2
x=2/-2
x=-1
y=-1-4
y=-5
Answer:
Step-by-step explanation:
Hajdiabndodisba djdk
Which of the following does NOT have a value of -5?
F. 1/4 - 5 1/4.
G. -10 ➗ 2
H. -20 x 0.25
J. -13 + 18
Answer:
J
Step-by-step explanation:
All of the other ones have a value of -5 except for J which has a value of 5.
More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car. How many students were on each bus?
Answer:a total of 45 students per bus
Step-by-step explanation: 450-5= 445
445/10= 44.5
a total of 45 students per bus
Gabriela has dinner at a cafe and the cost of her meal is
$
45.00
$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a
15
%
15%15, percent tip.
What is her total bill including tip?
Answer:
Step-by-step explanation:
Answer:
Total bill=$51.75
Step-by-step explanation:
Step 1: Determine the cost of her meal
Cost of meal=$45
Step 2: Calculate the amount of the tip
Tip amount=15% of the cost of meal
where;
cost of meal=$45
replacing;
Tip amount=(15/100)×45=6.75
The tip amount=$6.75
Step 3: Total bill
The total bill can be expressed as;
Total bill=tip amount+subtotal
where;
tip amount=$6.75
cost of meal=$45
replacing;
Total bill=(45+6.75)=51.75
Total bill=$51.75
please help!!! due tonight
Answer:
[tex]A=10^0[/tex]
Step-by-step explanation:
Number 2.247 has 2 in ones place, 2 in tenths place, 4 in hundredths place and 7 in thousandths place.
This means you can rewrite this number as
[tex]2.247=2\times 1+2\times 0.1+4\times 0.01+7\times 0.001\\ \\2.247=2\times 10^0+2\times \dfrac{1}{10^1}+4\times \dfrac{1}{10^2}+7\times \dfrac{1}{10^3}[/tex]
So,
[tex]A=10^0\\ \\B=\dfrac{1}{10^1}\\ \\C=\dfrac{1}{10^2}\\ \\D=\dfrac{1}{10^3}[/tex]
What is the only prime number that is a factor of 16
The only prime number that is a factor of 16 is 2, since 16 is a power of 2 (2⁴).
Explanation:The student has asked to identify the only prime number that is a factor of 16. To find the factors of 16, we can break it down into its prime factors. The prime factorization of 16 is 2×4×4, which reduces further to 2×2×2×2 or 24. Since the prime factors of 16 are all 2s, the only prime number that is a factor of 16 is 2. It's important to note that a prime number is defined as a number that has exactly two distinct positive divisors: 1 and the number itself. In the case of 16, 2 is the only prime number that fits this definition and is a factor.
2(n +5)= -2
I need to find the value of n
Answer:
-6
Step-by-step explanation: 2(n+5)=-2
Remove the bracket(expanding):
2×n+2×5=-2
2n+10=-2
collect like terms:
2n=-2+(-10)
2n=-12
Dividing both side by the coefficient of n i.e 2
2n/2=-12/2
n=-6
A financial advisor tells you that you can make your child a millionaire if you just start saving early. You decide to put an equal amount each year into an investment account that earns 7.5% interest per year, starting on the day your child is born. How much would you need to invest each year (rounded to the nearest dollar) to accumulate a million for your child by the time he is 35 years old? (Your last deposit will be made on his 34th birthday.)
Answer:
$12159 per year.
Step-by-step explanation:
If I invest $x each year at the simple interest of 7.5%, then the first $x will grow for 35 years, the second $x will grow for 34 years and so on.
So, the total amount that will grow after 35 years by investing $x at the start of each year at the rate of 7.5% simple interest will be given by
[tex]x( 1 + \frac{35 \times 7.5}{100}) + x( 1 + \frac{34 \times 7.5}{100}) + x( 1 + \frac{33 \times 7.5}{100}) + ......... + x( 1 + \frac{1 \times 7.5}{100})[/tex]
= [tex]35x + \frac{x \times 7.5}{100} [35 + 34 + 33 + ......... + 1][/tex]
= [tex]35x + \frac{x \times 7.5}{100} [\frac{1}{2} (35) (35 + 1)][/tex]
{Since sum of n natural numbers is given by [tex]\frac{1}{2} (n)(n + 1)[/tex]}
= 35x + 47.25x
= 82.25x
Now, given that the final amount will be i million dollars = $1000000
So, 82.25x = 1000000
⇒ x = $12,158. 05 ≈ $12159
Therefore. I have to invest $12159 per year. (Answer)
Should a denominator or numerator be bigger?
Answer: Usually, a denominator should be bigger. If the numerator was bigger, it would make the fraction inproper, which you should convert into a mixed number.
Answer:denominator
Step-by-step explanation:
Which change (in percent) is larger: losing weight from 100 lb to 90 lb or losing weight from 50 lb to 40 lb
Answer: losing weight from 50lb to 40lb
Step-by-step explanation:
Answer:
50lb to 40lb
Step-by-step explanation:
When you multiply 50 lb to 40lb by 2, it makes 100 lb to 80 lb. 50lb to 40 lb is 20 percent change while 100 lb to 90 lb is 10 percent
Pizza Rama sells large pizzas for $8.99 each with a delivery fee of $3 per order. Which equation can be used to find y, the total price of the order for x pizzas?
a. y = 11.99x
b. y = 3x + 8.99
c. y = 8.99x - 3
d. y = 8.99x + 3
Answer:
y=8.99+3
Step-by-step explanation:
we will make
x=how many large pizzas are sold
and a flat fee of $3 because they did delivery and do not pick it up them selves
so it would look like this
y=8.99x+3 to find the total cost
and it's not
y=8.99x-3 because they are not getting $3 dollars off their purchase!
The table below shows the scores of a group of students on a 10-point quiz.
Test Score Frequency
3 0
4 1
5 1
6 1
7 2
8 1
9 5
10 5
The mean score on this test is:
The median score on this test is:
Help
The mean score on this test is 8.8, and the median score is 9.4.
Explanation:In order to find the mean of the scores, we use the formula:
[tex]\[ \text{Mean} = \frac{\sum (X \cdot f)}{N} \][/tex]
where X is the score, f is the frequency, and N is the total number of scores. Applying this formula to the given data:
[tex]\[ \text{Mean} = \frac{(4 \cdot 1) + (5 \cdot 1) + (6 \cdot 1) + (7 \cdot 2) + (8 \cdot 1) + (9 \cdot 5) + (10 \cdot 5)}{1 + 1 + 1 + 2 + 1 + 5 + 5} \][/tex]
[tex]\[ \text{Mean} = \frac{4 + 5 + 6 + 14 + 8 + 45 + 50}{15} \][/tex]
Mean = [tex]\frac{132}{15}[/tex]
Mean = 8.8
So, the mean score is 8.8.
To find the median using the formula:
[tex]\[ \text{Median} = L + \frac{\frac{N}{2} - F}{f} \times w \][/tex]
where:
- L is the lower class boundary of the median group,
- N is the total number of observations,
- F is the cumulative frequency of the group before the median group,
- f is the frequency of the median group,
- w is the width of the median group.
First, arrange the data and calculate cumulative frequencies:
Test Score Frequency Cumulative Frequency
3 0 0
4 1 1
5 1 2
6 1 3
7 2 5
8 1 6
9 5 11
10 5 16
The median position is [tex]\( \frac{N}{2} = \frac{16}{2} = 8 \)[/tex] with a score of 9. The cumulative frequency before the median group is 6, and the frequency of the median group is 5.
Now, using the formula:
Median= 9 + [tex]\frac{8 - 6}{5} \times 1[/tex]
Median= 9 + [tex]\frac{2}{5}[/tex]
Median = 9 + 0.4
Median = 9.4
Therefore, the median score is 9.4.
Find the slope and reduce.
P=(4.5,-1) Q=(5.3,2)
Answer: slope m = (y2 - y1)/(x2 - x1) so that m = (2-(-1))/(5.3-4.5)
m = 3 / .8 = 3.75 or 15/4
Step-by-step explanation:
How many times does 7 go into 18
Answer:
Twice.
Step-by-step explanation:
7 times 2 is 14.
So it can only go in 2x.
Answer:
Seven goes into 18 twice
Step-by-step explanation:
7×2=14
Find the output, h, when the input, x, is -18. h = 17+x\6
Answer:
[tex]17 + \frac{ - 18}{6} = 17 - 3 = 14[/tex]
Leonard it sells small watermelons for seven dollars each and large watermelons for $10 each one day the number of small watermelons he saw was 15 more than the number of large watermelons and he made a total of $394 how many small and how many large watermelons a did he sell?
He sold 32 small watermelons and 17 large watermelons.
Step-by-step explanation:
Let,
Small watermelons = x
Large watermelons = y
Cost of one small watermelon = $7
Cost of one large watermelon = $10
According to given statement;
x = y+15 Eqn 1
7x+10y=394 Eqn 2
Putting value of x from Eqn 1 in Eqn 2
[tex]7(y+15)+10y=394\\7y+105+10y=394\\17y=394-105\\17y=289\\[/tex]
Dividing both sides by 17
[tex]\frac{17y}{17}=\frac{289}{17}\\y=17[/tex]
Putting y=17 in Eqn 1
[tex]x=17+15\\x=32[/tex]
He sold 32 small watermelons and 17 large watermelons.
Keywords: linear equations, substitution method
Learn more about linear equations at:
brainly.com/question/2998489brainly.com/question/3055705#LearnwithBrainly
Tesha withdrew $22.75 each week for four four weeks from her saving account to pay for her piano lessons. By how much did these lessons change her saving account balance?
Answer:by $91
Step-by-step explanation:
In total she withdrew $91 for her piano lessons
22.75x4=91
Answer:
91$
Step-by-step explanation:
What is the equations of the line that has a slope of 2 and passes through the point (6,2)
Answer:
y-2=2(x-6)
Step-by-step explanation:
y-y1=m(x-x1)
m=2
y-2=2(x-6)
The following ratios form a proportion. 5/18 = 10/90
True or False
13 pts.
Answer:
False
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
[tex]\frac{x^{\frac{5}{6} } }{x^{\frac{1}{6} } }[/tex]
Answer:
x^2/3
Step-by-step explanation:
(x^5/6)/(x^1/6)=x^(5/6-1/6)=x^4/6
simplify 4/6, you get 2/3.
Which layer of the atmosphere reflects radio waves back to Earth? Mesosphere Stratosphere Thermosphere Troposphere BRAINLEST
Answer:
ionosphere
Step-by-step explanation:
In radio communication, skywave or skip refers to the propagation of radio waves reflected or refracted back toward Earth from the ionosphere, an electrically charged layer of the upper atmosphere
There are total 3500 students in the freshman class.
What are radio waves?Radio waves are the electromagnetic radiations whose wave frequency lies in range of 10⁴ and 10¹¹ or 10¹² Hz. These waves are generally used in long distance communication.
Given is to find out which layer of the atmosphere reflects radio waves back to Earth.
None of the layers mentioned reflects radio waves back to Earth. Only the ionosphere reflects the radio waves back to Earth. It is a electrically conducting region extending between 80 km to 300 Km in altitude.
Therefore, there are total 3500 students in the freshman class.
To solve more questions on ionosphere, visit the link below-
https://brainly.com/question/19210356
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in the morning the temperature starts out around 50 F. As the day goes on, the temperature rises first slowly, then more quickly. It says constant for an hour before dropping slowly. Select the graph that best represnts this descripition.
The graph that best represents the described temperature change is Graph A.
The description provided suggests a graph of temperature change over time.
In the morning, the temperature starts around 50°F, so the initial point on the graph would be at (0, 50). As the day progresses, the temperature rises first slowly and then more quickly, indicating a steeper slope.
After reaching a peak, the temperature stays constant for an hour, suggesting a flat line parallel to the x-axis.
Finally, the temperature drops slowly, indicating a decreasing slope.
Based on this description, Graph A represents the temperature change over the day.
6. Savannah leaves Redlands driving due north at
55 mph. Luke leaves Redlands at the same time
and drives due south at 62 mph. How far apart
are they after 3 hours?
The National Zoo has T-shirts that regularly sell for $32. The shirts are marked 1/4 off during a Labor Day sale. What is the sale price of a T-shirt?
Answer:
The sale price of a T-shirt is $24.
Step-by-step explanation:
1/4 off=25%=0.25
0.25*32=8
32-8=24
a. Original Price: $16.20
Increase by 40%
Final Price:
Proportional Constant:
How to find the final price and the constant of proportionality in this problem?
Answer:
The final price is $ 22.68 And Proportional constant is 1.4
Step-by-step explanation:
Given as :
The Original price = $ 16.20
The rate of increase = 40%
Let The final price = x
Now,
Final price after increase = initial price × ( 1 + [tex]\frac{\textrm Rate}{100}[/tex]
Or. Final price after increase = $ 16.20 × ( 1 + [tex]\frac{\textrm 40}{100}[/tex]
Or, Final price after increase = $ 16.20 × ( 1.4 )
∴ Final price after increase = $ 22.68
Now , Proportional constant = [tex]\frac{22.68}{16.20}[/tex]
I.e Proportional constant = 1.4
Hence The final price is $ 22.68 And Proportional constant is 1.4 Answer
What is the solution to this equation x/-3=6
Answer:
[tex]\frac{x}{-3} =6\\x=-18[/tex]
x= -18
Answer: X = -18
Step-by-step explanation: In this problem, notice that x is being divided by -3 so to get x by itself, we need to multiply both sides of the equation by -3.
Notice that on the left side, the -3 and -3 cancel each other out so we're just left with x.
On the right side, we have 6 × -3 which is -18 so X = -18.
Finally, we can check our answer by plugging a -18 back into the original equation.
So we have -18 ÷ -3 = 6, which is a true statement which means that our answer is correct.
Image provided.
10.
Your brother has $2000 saved for a vacation. His airplane ticket is $637. Write and solve an
inequality to find how much he can spend for everything else.
Answer:
He can spend $1363 for everything else.
Step-by-step explanation:
x+637<=2000
x<=2000-637
x<=1363
Write an equation of the line that passes through the given point and is parallel to the given line.
40. (4,1);y=-2x+7 41. (0,6);y=5x-3 42. (-5,-2);y=2/3x+1
Answer:
Part 40) [tex]y=-2x+9[/tex]
Part 41) [tex]y=5x+6[/tex]
Part 42) [tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
Step-by-step explanation:
Remember that
If two lines are parallel, then their slopes are the same
Part 40) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (4,1)
Given line y=-2x+7
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
so
The slope of the given line is
[tex]m=-2[/tex]
step 2
Find the y-intercept b
we have
[tex]m=-2[/tex]
[tex](4,1)[/tex]
substitute in the linear equation
[tex]1=(-2)4+b[/tex]
solve for b
[tex]b=1+8[/tex]
[tex]b=9[/tex]
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
[tex]m=-2[/tex]
[tex]b=9[/tex]
substitute
The equation of the line is
[tex]y=-2x+9[/tex]
Part 41) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (0,6)
Given line y=5x-3
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
so
The slope of the given line is
[tex]m=5[/tex]
step 2
Find the y-intercept b
[tex]b=6[/tex] ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
[tex]m=5[/tex]
[tex]b=6[/tex]
substitute in the linear equation
[tex]y=5x+6[/tex]
Part 42) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (-5,-2)
Given line y=(2/3)x+1
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
so
The slope of the given line is
[tex]m=\frac{2}{3}[/tex]
step 2
Find the y-intercept b
we have
[tex]m=\frac{2}{3}[/tex]
[tex](-5,-2)[/tex]
substitute in the linear equation
[tex]-2=(\frac{2}{3})(-5)+b[/tex]
solve for b
[tex]-2=-\frac{10}{3}+b[/tex]
[tex]b=-2+\frac{10}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
[tex]m=\frac{2}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
substitute
The equation of the line is
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
Final answer:
To find the equation of a line that is parallel to a given line and passes through a specific point, use the fact that parallel lines have the same slope. Find the slope of the given line, substitute the slope and the point into the slope-intercept form of a line to find the y-intercept, and write the equation with the new slope and y-intercept.
Explanation:
To find the equation of a line that is parallel to a given line and passes through a specific point, we need to use the fact that parallel lines have the same slope. The given line, y = -2x + 7, has a slope of -2. So, the parallel line we need to find will also have a slope of -2.
Now, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. Since we know the slope is -2 and the point (4,1) lies on the line, we can substitute these values into the equation to find the y-intercept:
y = -2x + b
1 = -2(4) + b
1 = -8 + b
b = 9
Therefore, the equation of the line that passes through (4,1) and is parallel to y = -2x + 7 is y = -2x + 9.