18 km apart
You subtract 33 and 15
A satellite travels 29 1/2 miles every 4 1/3
seconds. What is its unit rate of speed?
Answer:
The speed at which the satellite travel is 6.80 miles per second
Step-by-step explanation:
Given as :
The distance cover by satellites = 29 [tex]\frac{1}{2}[/tex] miles
Or, The distance cover by satellites = [tex]\frac{59}{2}[/tex] miles
The Time taken by satellite to travel with this speed = 4[tex]\frac{1}{3}[/tex] sec
Or, The Time taken by satellite to travel with this speed = [tex]\frac{13}{3}[/tex] seconds
Let the Speed with which the satellite travel = s miles per second
Now, As we know
Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]
Or, s = [tex]\frac{\frac{52}{2}}{\frac{13}{3}}[/tex]
or, s = [tex]\frac{59\times 3}{2\times 13}[/tex]
∴ s = 6.80 mps
So, speed = s = 6.80 miles per second
Hence The speed at which the satellite travel is 6.80 miles per second Anwser
In a recipe for double chocolate every 1/2 cup of milk calls for 2 cups of chocolate. if the recipe were increased to include 4 cups of chocolate, how much milk would be needed?
Answer:1 C milk
Step-by-step explanation:
1/2 C milk = 2 C chocolate
1 C milk = 4 C chocolate
Answer:
1 cup of milk
Step-by-step explanation:
If 1/2 cup of milk is needed for 2 cups of chocolate, and you need to find how much milk is needed for 4 cups, then you'd follow the same steps as going from 2 cups to 4, multiplying by 2.
2 cups chocolate x 2 = 4 cups chocolate
1/2 cup milk x 2 = 1 cup
Jasmine has 3/4 cup of flour in a mixing bowl. After adding more flour to the mixing bowl, Jasmine says that she now has 5/8 cup of flour.
Why is her statement incorrect?
Answer:
6/8
Step-by-step explanation:
3/4 into eighths would be 6/8. She said she had 5/8 cups of flour.
what is the sign of 3/5 + 3/5
Final answer:
The sum of two positive numbers always has a positive sign, so the sum of 3/5 + 3/5 is positive.
Explanation:
The question what is the sign of 3/5 + 3/5 involves understanding the rules of addition for numbers with the same sign. According to the rules of addition:
When two positive numbers add, the answer has a +ve sign.
Since both fractions 3/5 and 3/5 are positive, their sum will also have a positive sign. Therefore, the sign of the sum 3/5 + 3/5 is +ve, which means the answer is also positive.
Question 11 of 15 (1 point)
4.4 Section Exercise 18
Use the problem-solving flowchart.
Twice the sum of a number and two is seventeen less than five times the number. Find the
number. Round your answer to the nearest integer, if necessary.
The number is
The number is 7
Step-by-step explanation:
Let x be the number
then according to given statement
[tex]2(x+2) = 5x-17[/tex]
Simplifying
[tex]2x+4 = 5x-17[/tex]
Adding 17 on both sides
[tex]2x+4+17 = 5x-17+17\\2x+21 = 5x[/tex]
Subtracting 2x from both sides
[tex]2x+21-2x = 5x - 2x\\21 = 3x\\3x = 21[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3} = \frac{21}{3}\\x = 7[/tex]
Hence,
The number is 7
Keywords: Linear equation, variables
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To divide a number by 100, move the decimal point _____.
two places to the right
three places to the left
two places to the left
three places to the right
Answer:
c. two places to the left
Step-by-step explanation:
Answer:
two places to the left
Step-by-step explanation:
A loan of $46,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $65,000 or more?
After 5.11 years, amount due reach $65,000 or more
Solution:
Given that a loan of $46,000 is made.
Rate of interest charged is 7% compounded annually
Need to determine number of years in which the amount due reach $65,000 or more.
In our case
Amount due A = $65000
Loan Amount that is principal P = $46000
Rate of interest r = 7%
Formula for Amount compounded anually is as follows:
[tex]\mathrm{A}=P\left(1+\frac{r}{100}\right)^{n}[/tex]
Substituting the values in above formula we get
[tex]\begin{array}{l}{65000=46000\left(1+\frac{7}{100}\right)^{n}} \\\\ {\frac{65000}{46000}=\left(\frac{107}{100}\right)^{n}} \\\\ {\Rightarrow 1.4130=(1.07)^{n}}\end{array}[/tex]
Applying log on both sides, we
[tex]\begin{array}{l}{\ln 1.4130=n \ln 1.07} \\\\ {=>\frac{\ln 1.4130}{\ln 1.07}=\mathrm{n}} \\\\ {=>\mathrm{n}=\frac{0.34571}{0.067658}=5.1096=5.11}\end{array}[/tex]
Hence after 5.11 years , amount due reach $65,000 or more
The width of a rectangle is 3/8 the length x of the rectangle. What is the perimeter of the rectangle?
Answer:
(11/4)x units
Step-by-step explanation:
for a rectangle,
perimeter = 2(length) + 2(width)
given:
length = x
width = (3/8)x
hence,
perimeter = 2(length) + 2(width)
perimeter = 2x + 2(3/8)x
perimeter = 2x + (3/4)x
perimeter = [2 + (3/4)]x
perimeter = (11/4)x
Solve for x. 10 = − 2/3 x A) −6 B) −9 C) −15 D) −18
Answer:
x=-10/23
Step-by-step explanation:
-23x=10
x=10/-23
x=-10/23
Answer:
x = -15 thus c: is your answer
Step-by-step explanation:
Solve for x:
10 = (-2 x)/3
10 = (-2 x)/3 is equivalent to (-2 x)/3 = 10:
(-2 x)/3 = 10
Multiply both sides of (-2 x)/3 = 10 by -3/2:
(-3 (-2) x)/(2×3) = (-3)/2×10
(-3)/2×(-2)/3 = (-3 (-2))/(2×3):
(-3 (-2))/(2×3) x = (-3)/2×10
(-3)/2×10 = (-3×10)/2:
(-3 (-2) x)/(2×3) = (-3×10)/2
(-3)/3 = (3 (-1))/3 = -1:
(-2-1 x)/2 = (-3×10)/2
(-2)/2 = (2 (-1))/2 = -1:
--1 x = (-3×10)/2
(-1)^2 = 1:
x = (-3×10)/2
10/2 = (2×5)/2 = 5:
x = -35
-3×5 = -15:
Answer: x = -15
Use addition to solve the linear system of equations y=2x-5 3x+3=y
Answer:
(-8, -21)
Step-by-step explanation:
y=2x-5
3x+3=y
------------
2x-5=3x+3
2x-3x-5=3
-x-5=3
-x=3+5
-x=8
x=-8
y=2(-8)-5=-16-5=-21
Answer: x=-8, y=-21.
4. How much time will it take for a bug to travel 7.5 meters across the floor if it is traveling at 1 m/s?
It will take the bug 7.5s to travel across the floor.
Step-by-step explanation:
Distance = 7.5 meters
Speed = 1 m/s
The formula for speed is
[tex]Speed = \frac{Distance}{Time}\\\\Time = \frac{Distance}{Speed}\\Time=\frac{7.5}{1}\\Time=7.5\ s[/tex]
It will take the bug 7.5s to travel across the floor.
Keywords: distance, speed
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Triangle ABC is an isosceles triangle. The length of the base is 20 meters and the corresponding height is 24 meters. Find the perimeter of ABC. (round your answer to the nearest tenth of a meter).
Final answer:
The perimeter of the isosceles triangle with a base of 20 meters and height of 24 meters is 60 meters.
Explanation:
The formula for the area of a triangle is 1/2 × base × height.
In this case, the base of the isosceles triangle is given as 20 meters and the corresponding height is given as 24 meters.
Using the formula, we can calculate the area: Area = 1/2 × 20 × 24 = 240 square meters.Next, we need to calculate the length of the two equal sides of the triangle.Since the triangle is isosceles, the length of the base is equal to the length of the two equal sides.So, each equal side of the triangle is equal to 20 meters.Finally, to find the perimeter of the triangle, we add up the lengths of all three sides.Perimeter = 20 + 20 + 20 = 60 meters.determina la medida de cada uno de los angulos del triángulo ABC si se conoce que (3x+1)° (3x+4)° y (2x-1)°
Answer:
∠A=67°
∠B=70°
∠C=43°
Step-by-step explanation:
The correct question in English is
Determines the measurement of each of the angles of the triangle ABC if it is known that A=(3x+1)°,B=(3x+4)° and C=(2x-1)°.
we know that
The measure of the interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
substitute the given values
[tex](3x+1)\°+(3x+4)\°+(2x-1)\°=180\°[/tex]
solve for x
[tex](8x+4)\°=180\°[/tex]
[tex]8x=180-4[/tex]
[tex]x=22[/tex]
Find the measure of each angle
∠A=(3(22)+1)=67°
∠B=(3(22)+4)=70°
∠C=(2(22)-1)=43°
HELP An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the investor's total profit was $104, how much was invested in each mutual fund? The amount invested in the mutual fund that earned 5% was $(blank). The amount invested in the mutual fund that earned 3% was $(blank). (show your work)
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
[tex]x+y=2,800[/tex] ----> [tex]y=2,800-x[/tex] ----> equation A
[tex]5\%=5/100=0.05[/tex]
[tex]3\%=3/100=0.03[/tex]
[tex]0.05x+0.03y=104[/tex] ----> equation B
Solve the system by substitution
substitute equation A in equation B
[tex]0.05x+0.03(2,800-x)=104[/tex]
Solve for x
[tex]0.05x+84-0.03x=104[/tex]
[tex]0.05x-0.03x=104-84[/tex]
[tex]0.02x=20[/tex]
[tex]x=\$1,000[/tex]
Find the value of y
[tex]y=2,800-x[/tex]
[tex]y=2,800-1,000=\$1,800[/tex]
therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
Evelyn is using her grandmother's pancake recipe, but she wants to make 40% more pancakes than the recipe usually prepares. If her grandmother's recipe calls for 1/2 cup of flour, how much flour will Evelyn need to use? Show Work!
(A) 3/10 cup
(B) 1/2 cup
(C) 7/10 cup
(D) 1 3/10 cup
(C) 7/10 cup is the correct answer
Step-by-step explanation:
First of all we will calculate the 40% of grandmother's recipe then add it to the given flour in grandma's recipe
So,
The amount of flour in grandma's recipe = F_g = 1/2 cups
Calculating percentage
[tex]=40\%\ of\ \frac{1}{2}\\=\frac{40}{100}*\frac{1}{2}\\=\frac{2}{10}[/tex]
So Evelyn needs to add 2/10 cups more to the original quantity.
So,
Flour used by Evelyn:
[tex]=\frac{1}{2}+\frac{2}{10}\\\\=\frac{5+2}{10}\\\\=\frac{7}{10}\ cups[/tex]
Hence,
(C) 7/10 cup is the correct answer
Keywords: Percentage, Quantity
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-3 2/7 times .14 as a decimal and a fraction
Answer:
-0.46 or -23/50
Step-by-step explanation:
We note that 0.14 is easily divisible by 7, so we can do this using the distributive property:
(-3 2/7)(0.14) = (-1)(3 + 2/7)(0.14)
= (-1)(3×0.14 +2/7×0.14)
= (-1)(0.42 +0.04)
= -0.46 . . . . . decimal form
= -46/100 . . . . place value
= -23/50 . . . . remove common factor of 2; fraction form
The product is -0.46 or -23/50.
Which comparison is true?
O A. 0.3 > 0.09
B. 0.04 > 0.2
OC. 0.29 > 0.38
OD. 0.24 > 0.67
O E. 0.55 > 0.600
Answer:
0.3 > 0.09
Step-by-step explanation:
The comparison 0.3 > 0.09 is true.
0.3 = 0.300
0.300 > 0.009
All other options are false. They should have a less than sign instead of a greater than sign.
Final answer:
Upon comparison of decimal values in the given options, Option A (0.3 > 0.09) is the true comparison as 0.3 is greater than 0.09 when comparing the tenths place.
Explanation:
When comparing decimal numbers, you should look at the largest place value first and work your way to smaller place values to determine which number is larger. Let's evaluate each option:
A. 0.3 > 0.09: Comparing the tenths place, 3 is greater than 0. Therefore, this statement is true.
B. 0.04 > 0.2: Comparing the tenths place, 0 is less than 2. Therefore, this statement is false.
C. 0.29 > 0.38: Comparing the tenths place, both numbers are equal, but in the hundredths place, 9 is less than 8. Therefore, this statement is false.
D. 0.24 > 0.67: Comparing the tenths place, 2 is less than 6. Therefore, this statement is false.
E. 0.55 > 0.600: Comparing the tenths place, both numbers are equal, and in the hundredths place, 5 is equal to 0 followed by an additional 0, thus both numbers are equal and this statement is false.
Based on the above analysis, the correct answer is Option A. 0.3 > 0.09.
Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She is going to split the berries evenly among 4 people. Witch measure is the best estimate for the number of pounds of berries each person would receive.
A) 1 1/4 pounds
B) 1 5/8 pounds
C) 2 7/8 pounds
D) 3 3/16 pounds
Answer:
(b) The number of pounds of berries each person would receive is [tex]1\frac{5}{8}[/tex]pounds.
Step-by-step explanation:
The amount of berries in first basket = 3 3/8 pounds
Now, [tex]3\frac{3}{8} = 3+\frac{3}{8} = 3 + 0.375 = 3.375[/tex]
So, the amount of berries in first basket = 3.375 pounds
The amount of berries in second basket = 2 7/8 pounds
Now, [tex]2\frac{7}{8} = 2+\frac{7}{8} = 2 + 0.875 = 2.875[/tex]
So, the amount of berries in second basket = 2.875 pounds
Now, the total berries = Berries in ( First + Second) basket
= 3.375 pounds + 2.875 pounds
= 6.25 pounds
So, the number of pounds each person would have = [tex]\frac{\textrm{Total weight of viable berries}}{\textrm{4}} = \frac{6.25}{4} = 1.5625[/tex]
Now, [tex]1.5625 = 1 + 0.5625 = 1 + \frac{5625}{10000} = 1 + \frac{5}{8} = 1\frac{5}{8}[/tex]
So, the number of pounds of berries each person would receive is [tex]1\frac{5}{8}[/tex]pounds.
add 9 and 3, then add 6 to the result
Answer:
Step-by-step explanation:
18
9+3=12+6=18
Answer:
18
Step-by-step explanation:
Add 9 and 3;
9 + 3 = 12
Then add 6 to the result
12 + 6 = 18
Write an inequality for the graph.
Answer:
x ≤ 3
This is because it is a closed circle.
Your get a haircut that cost $23.if you tip the barber 10%,what is the final bill?
Answer:
$25.30
Step-by-step explanation:
The final bill was $25.30 if you get a haircut that cost $23.if you tip the barber 10% of the total haircut cost.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
You get a haircut that cost $23.if you tip the barber 10% of the total hair cut cost.
Let x be the final bill amount.
The value of x can be found as follows:
x = $23 + 10% of $23
x = 23 + (10/100)23
x = 23 + 0.1(23)
x = 23 + 2.30
x = $25.30
Thus, the final bill was $25.30 if you get a haircut that cost $23.if you tip the barber 10% of the total haircut cost.
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A farm is rectangular with an area of 1/2 square
miles. If the length of the farm is 1/3 miles, what
is its width? Input your answer as a fraction.
The width of a rectangular farm with area of 1/2 square mile and length of 1/3 mile is 1 1/2 miles.
Explanation:The area of a rectangle is found by multiplying length times width. In this case, we know that the area is 1/2 square mile and the length is 1/3 mile.
So we have the equation (Length) * (Width)= Area; so 1/3 * W = 1/2. To solve for W (width), you need to divide both sides of the equation by 1/3.You might remember that dividing by a fraction is the same as multiplying by its reciprocal. So, we divide 1/2 by 1/3, which is the same thing as 1/2 * 3/1. Doing this, we end up with the fraction 3/2, or 1 1/2.
So the width of the farm is 1 1/2 miles.
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(-4,6); slope = -3/4
Answer:
y-6=-3/4(x+4)
Step-by-step explanation:
y-y1=m(x-x1)
m=-3/4
y-6=-3/4(x-(-4))
y-6=-3/4(x+4)
it took jack 360 seconds to walk home from school how many min did it take him
1 minute has 60 seconds. So dividing the number of seconds jack has to walk from school to home by 60 will give us minutes.
[tex]t=\dfrac{360\mathrm{s}}{60}=\boxed{6\mathrm{min}}[/tex]
Hope this helps.
Can someone please explain to me HOW to transform this equation to determine if its an identity (8x+12y)^2+(6x+9y)=(10x+15y)^2
Answer:
See explanation
Step-by-step explanation:
Given
[tex](8x+12y)^2+(6x+9y)^2=(10x+15y)^2[/tex]
Note
[tex](8x+12y)^2=(4(2x+3y))^2=16(2x+3y)^2\\ \\(6x+9y)^2=(3(2x+3y))^2=9(2x+3y)^2\\ \\(10x+15y)^2=(5(2x+3y))^2=25(2x+3y)^2[/tex]
Since
[tex]16(2x+3y)^2+9(2x+3y)^2=(2x+3y)^2(16+9)=25(2x+3y)^2,[/tex]
this is an identity
pls use the diagram to answer the question thanks
Answer:
A) The smaller angle between 12 and 3 is 90° and that is [tex]\frac{1}{4}[/tex]th coordinate
B) The smaller angle between 2 and 3 is 30°
C) The angle between 4 and 6 is 60°
D) the angle between 6 and 9 is 90°
D) The angle between 6 and 12 is 180°
E) The angle between 7 and 8 is 30°
Step-by-step explanation:
Given as :
It is shown in diagram as ;
The circle with different angles from angle 1 to angle 12
Now, The figure is the complete circle, and the measure of all angles in a circle = 360°
The measure of semicircle = 180°
and each quadrant is divided in to 3 angles
Each right angle is further divided into three 30° angles
Again ,
A) The smaller angle between 12 and 3 is 90° and that is [tex]\frac{1}{4}[/tex]th coordinate
B) The smaller angle between 2 and 3 is 30°
C) The angle between 4 and 6 is 60°
D) the angle between 6 and 9 is 90°
D) The angle between 6 and 12 is 180°
E) The angle between 7 and 8 is 30° Answer
someone please help with 17!! leave work below
Answer:
The amount charged is proportional to the ears of corn
Step-by-step explanation:
Now I'm going to explain, but write it in your own words. It's proportional because the amount charged is completely reliant on how many ears of corn you are buying.
So for every 1 ear of corn, you pay about 33 cents
or
For every 2 ears of corn, you pay about 67 cents
The amount you pay completely relies on how many you're buyingDetermine the intercepts of the line.
y=-3x+12y=−3x+12
Answer:
x-intercept=4 and y-intercept = 12
Step-by-step explanation:
To find the x-intercept, make the y=0:
0 = -3x+12
3x = 12
x=12/3
x=4
To find the y-intercept, make the x=0:
y = -3(0) +12
y = 0 +12
y = 12
Hope this helps!
Please mark brainliest if you think I helped! Would really appreciate!
Answer:
y=12,0
x=4,0
Step-by-step explanation:
for those who were just as confused as i was <3
cos(t)=24/25, what does sin(t)=?
Answer:
The value of sin t is [tex]\frac{7}{25}[/tex]
Step-by-step explanation:
Given as :
cos (t) = [tex]\frac{24}{25}[/tex]
Since sin² t + cos² t = 1
So, sin² t = 1 - cos² t
or, sin² t = 1 - ([tex]\frac{24}{25}[/tex])²
or, sin² t = [tex]\frac{25^{2} - 24^{2} }{25^{2} }[/tex]
Or, sin² t = [tex]\frac{625 - 576}{625}[/tex]
Or , sin² t = [tex]\frac{49}{625}[/tex]
Or, sin t = [tex]\sqrt{\frac{49}{625} }[/tex]
So, sin t = [tex]\frac{7}{25}[/tex]
Hence The value of sin t is [tex]\frac{7}{25}[/tex] Answer
5 different mathematics books, 4 different French books and 2 different biology books are to be arrange on a shelf. How many different arrangements are possible, if
1. The books in each particular subject must all stand together?
2. Only the mathematics books must stand together.
Problem 1
A = 5! = 5*4*3*2*1 = 120 ways to arrange the math books
B = 4! = 4*3*2*1 = 24 ways to arrange the French books
C = 2! = 2*1 = 2 ways to arrange the biology books
D = 3! = 3*2*1 = 6 ways to arrange the three blocks of books, each block a different subject
E = A*B*C*D = 120*24*2*6 = 34560 different ways to arrange the books such that the subjects stick together
-------------
Answer: 34560========================================
Problem 2
Group all the math books to form one "book". This is the same as taking out the 5 math books and replacing it with one single math book. This single math book acts as a placeholder for all of the five books together as one block.
We have
1 math "book"
4 French books
2 biology books
So there are 1+4+2 = 7 "books" total and
7! = 7*6*5*4*3*2*1 = 5040 different ways to arrange those "books"
Within the math block of books, there are 5! = 120 ways to arrange things.
So overall we have 120*5040 = 604800
-------------
Answer: 604800