Answer:10/24 = 5/12
Step-by-step explanation:
What is the equation of the line that passes through the point (1,7) and has a slope of −1?
Answer:
y = -x+8
Step-by-step explanation:
Given a∥b and m∠5=77° .
What is m∠2 ?
Enter your answer in the box.
Answer:
Step-by-step explanation:
m<5 and m<4 are supplementary angles => m<5 + m< 4 = 180
m<4 = 180 -77 = 103
m<4 and m<2 are corresponding angles => m<4 = m<2 = 103
The measure of the angle m∠2 is 103.
What are supplementary angles?The supplementary angles are defined as the angles having a sum of 180 degrees. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
In the given image the given angle is m∠5=77°. The measure of the angle m∠2 will be calculated by using some of the angle properties.
m∠5 and m∠4 are supplementary angles:-
m∠5 + m∠4 = 180
m∠4 = 180 -77 = 103
m∠4 and m∠2 are corresponding angles => m∠4 = m∠2 = 103
Therefore, the measure of the angle m∠2 is 103.
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Express your answer in scient 9.3.107 - 3.4.106 Stuck? Watch a video
Answer:
o resultado coreto é 59.001
Which of the following is the correct graph of the solution to the inequality -18 > -5x + 2 > -48?
Answer:
3rd option down
Step-by-step explanation:
Simplify the inequality and you should get this:
-48[tex]\leq[/tex]-5x+2<-18
-2 . -2 . -2
-50[tex]\leq[/tex]-5x<-20
Divide by -5
Remember to switch places since we are dividing by a negative number
You should get this 4[tex]\leq[/tex]x<10
The only number line that shows that properly would be the 3rd one down.
Answer:
c
Step-by-step explanation:
which pair of ratios forms a proportion? hint: check for cross products. a. 6/9=9/12 b. 8/16=10/21 c. 6/15=10/25 d. 4/14=6/27
Answer:
c. 6/15 = 10/25
Step-by-step explanation:
Using the hint, we can form the cross products of the offered choices:
a. 6(12) vs 9(9) ⇒ 72 vs 81 . . . not a proportion
b. 8(21) vs 16(10) ⇒ 168 vs 160 . . . not a proportion
c. 6(25) vs 15(10) ⇒ 150 vs 150 . . . IS A PROPORTION
d. 4(27) vs 14(6) ⇒ 108 vs 84 . . . not a proportion
__
The cross products are the same for choice C, so that is a pair of ratios that form a proportion:
6/15 = 10/25
Wilma estimates that she'll drive about 18,000 miles during the year. The car she wants to purchase gets an
average of 24
miles per gallon, and the average cost per gallon of gas in her neighborhood is $2.72. Locate the error in her calculations,
and select the correction.
Step 1
18,000 miles/year
18.000 miles = 1,500 miles/month
12 months
Step 2
1.500 miles/month
125 gallons/month
12 miles/gallon
Step 3
(125 gallons/month) x ($2.72/gallons) = $340 cost/month
Given parameters:
Distance in a year = 18000miles
Car mileage = 24miles/gallon
Average cost per gallon = $2.72 per gallon
Problem;
Find the error in her calculation;
Step 1
18,000 miles/year
18, 000 miles = 1,500 miles/month -- Since there are 12months in a year
12 months
Step 2
1500 miles/month
Car mileage = 24miles/gallon
Gallons per month; [tex]\frac{1500}{24}[/tex] = 62.5gallons/month
125 gallons/month this is an error and should be 62.5gallons/month
12 miles/gallon should be 24miles per gallon
Step 3
(125 gallons/month) x ($2.72/gallons) = $340 cost/month
Correct
Step 2 is wrong because it uses wrong values.
Answer:
Option 1
Step-by-step explanation:
Wilma made a mistake is step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.
What is the domain of the function f(x) = x+ 2?
Answer: Choice D) [tex]x \ge -6[/tex]
=========================================================
Explanation:
Taking the square root of a negative number leads to a nonreal result.
So we want the radicand to be 0 or positive
Set the stuff under the square root to be 0 or larger. Solve for x.
[tex]\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6[/tex]
If x is -6 or larger, then [tex]\frac{1}{3}x+2[/tex] is 0 or larger leading to some real number for f(x).
The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.
A car travels 196 miles in 3.5 hours. Which of the following is NOT an equivalent number of miles per hour?
Answer:
56mph
Step-by-step explanation:
The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced? GIVE ME THE ANSWER THE CORRECT ANSWER!!!!
Answer: 25% decrease
Step-by-step explanation:
-3y > 9 or 2y – 6 > 2
Pls solve with steps and explain
Answer:
[tex]y<-3\quad \mathrm{or}\quad \:y>4[/tex]
Step-by-step explanation:
so first lets solve -3y>9
[tex]-3y>9\\[/tex]
div both side by -3( rember to switch sign)
[tex]y<-3[/tex]
thats the first answer
2nd, lets solve 2y-6>2
[tex]2y-6>2[/tex]
add 6 to both side
[tex]2y>8[/tex]
div both side by 2(no switch sign)
[tex]y>4[/tex]
what is the solution for this? Y = 3bx - 7x
Answer:
[tex]x=\frac{y}{3b-7}[/tex]
Step-by-step explanation:
Rewrite the equation as [tex]3bx-7x=y[/tex].
Factor x out of 3 b x
[tex]x(3b)-7x=y[/tex]
Factor [tex]x[/tex] out of [tex]x(3b)+x*-7[/tex]
[tex]x(3b-7)=y[/tex]
Divide each term by [tex]3b-7[/tex] and simplify.
Divide each term in [tex]x(3b-7)=y[/tex] by [tex]3b-7[/tex].
[tex]\frac{x(3b-7) }{3b-7} =\frac{y}{3b-7}[/tex]
Cancel the common factor of [tex]3b-7[/tex]
A 2-column table with 9 rows titled December Temperatures. Column 1 is labeled Day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9. Column 2 is labeled Temperature (degrees Fahrenheit) with entries 33, 34, 42, 36, 39, 36, 39, 40, 44. What is the range of the data set?
Answer:
11
Step-by-step explanation:
The range of the data set is 11.
A 2-column table with 9 rows titled December Temperatures. Column 1 is labeled Day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9. Column 2 is labeled Temperature (degrees Fahrenheit) with entries 33, 34, 42, 36, 39, 36, 39, 40, 44.
Here,
A 2 - column table with 9 rows titled December temperature.
Column 1 is labeled day with entries 1, 2, 3, 4, 5, 6, 7, 8, 9.
Column 2 is labeled temperature with entries 33, 34, 42, 36, 39, 40, 44.
What is range of data set?
The range is the difference between the highest and lowest values within a set of numbers.
Now,
For find the value of range set,
The highest value in given table = 44
The lowest value in given table = 33
Range of the data set = highest value - lowest value
= 44 - 33
= 11
Hence, The range of the data set is 11.
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Rafael is going for a walk. He takes 4 hours to walk 6.4 miles. What is his speed?
Answer:
Step-by-step explanation:
1.6
1.6 miles per hour is speed of Rafael.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, Rafael is going for a walk. He takes 4 hours to walk 6.4 miles.
From the general formula of speed:
Speed = distance/time
In our case,
Distance= 6.4 miles
Time = 4 hours
Thus,
Speed = 6.4/4
Speed in miles per hour = 1.6
therefore, the speed of Rafael is 1.6 miles per hour.
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Plz help me!!!!!i need to get this correct plz help!!!
Answer:
yes
Step-by-step explanation:
if you divide 18 by 3 you get six and if you divide 15 by 3 you get 5, so it simplifies to 6:3 which is the same as the ratio for rings
How is this number expressed in scientific notation? 0.01463
What is between 49 and 50
y = -x +7 and y = x + 4 Are the equations parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
They are perpendicular because the slopes are negative reciprocals.
Answer:
They are neither.
Step-by-step explanation:
They intersect at a non- 90 degree angle, so it cannot be perpendicular or parallel.
I need help forming an equation
Answer:
21=1/2n+5
There were 32 volunteers on the first day
Step-by-step explanation:
number of volunteers on the first day=n
21=number of volunteers on the second day
21=1/2n+5
Rudy took a test and earned a 92%. If Rudy answered 46 questions correctly, how many questions were on the test?
How many questions did he answer incorrectly?
How many questions would have to be correct if he made an 88%?
Answer:
50
4 were incorrect
44/50 would make it 88%
Step-by-step explanation:
Answer:
1. There are 50 questions on the test.
2. He answered 4 questions incorrectly.
3. To make an 88 he would have gotten 44/50 questions right.
Help me solve this problem please
[tex]5x - (x - 2) \geq 2x - 4(x - 8)\\5x - x + 2 \geq 2x - 4x + 32\\5x - x - 2x + 4x \geq 32 - 2\\6x \geq 30\\x \geq 5\\[/tex]
Interval notation: [tex]x \in \lbrack 5, \infty \rangle[/tex]
2. At Burger World, you can buy a party platter of 25 burgers for $75. What
is the unit rate price of one hamburger?
Answer:
$3
Step-by-step explanation:
25 times 3=75
How to measure 1 cup of milk
Answer:
you get a one cup measurments and pour milk to the 1
Step-by-step explanation:
ive done it before
During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% simple annual interest. After 4 years, how much money did she have in the bank for her trip?
a lotStep-by-step explanation:
Answer:
2,240
Step-by-step explanation:
Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Investment of Sara during her 1st year of college = US$ 2,000
Duration of the investment = 4 years
Annual interest rate = 3%
2. Let's find the future value of this investment after 4 years, using the following formula:
FV = PV * (1 + r) ⁿ
PV = Investment of Sara during her 1st year of college = US$ 2,000
number of periods (n) = 4
rate (r) = 3% = 0.03
Replacing with the real values, we have:
FV = 2,000 * (1 + 0.03) ⁴
FV = 2,000 * (1.03) ⁴
FV = 2,000 * 1.12550881
FV = 2,251.02
Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240
plz mark me brainliest
A bakery charges $14.00 for 4 croissant sandwiches. What is the unit rate, in dollars per sandwich?
Answer:
3.5 per
Step-by-step explanation:
14/4=3.5
this goes to the question i just posted someone please help me please
Answer:
Ok only if yo help me with my last question
Step-by-step explanation:
21. 3a + 5b = -27
4a + 10b = -46
how to solve with substitution
Answer:
a = -4 and b = -3
Step-by-step explanation:
Step 1: Solve 3a + 5b = -27 for a
3a + 5b = -27
3a + 5b + -5b = -27 + -5b
(Add -5b go both sides)
3a = -5b- 27
3a = -5b - 27
3 3
(Divide both sides by 3)
a = -5 b - 9
3
Step 2: Substitute -5 b - 9 for a in 4a + 10b = -46
3
4a + 10b = -46
4(-5 b - 9) + 10b = -46
3
10 b - 36 = -46
3
(Simplify both sodes of the equation)
10 b - 36 + 36 = -46 + 36
3
(Add 36 to both sides)
10 b = -10
3
10/3 b = -10
10/3 10/3
(Divide both sides by 10/3)
b = -3
Step 3: Substitute -3 for b in a = -5/3 b - 9
a = -5/3 (-3) - 9
a = -4
(Simplify both sides of the equation)
Which is a correct verbal expression for
8n?
F n more than 8
G the quotient of 8 and n
H the product of 8 and n
J 8 increased by n
The correct verbal expression for 8n is "the product of 8 and n". therefore, option H is the correct choice.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The correct verbal expression for 8n is "the product of 8 and n". Therefore, option H is the correct choice.
Option F "n more than 8" would be written as "n + 8".
Option G "the quotient of 8 and n" would be written as "8/n".
Option J "8 increased by n" would be written as "8 + n".
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given m ll n find the value of x.
Answer:
45 degrees
Step-by-step explanation:
Since the angle x and angle 135 degrees are supplementary, you just have to minus 135 from 180 which the answer is 45 degrees.
The value of the angle x will be equal to 45 degrees.
What are lines and angles?An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A geometry called an angle is created when two line segments, lines, or rays intersect.
Given that the line is crossing the two parallel lines making an angle of 135 degrees with one line. The value of x will be calculated by using the supplementary angle property.
x + 135 = 180
x = 180 - 135
x = 45
Therefore, the value of the angle x will be equal to 45 degrees.
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can someone tell me how to do this I am so confused
Answer:
I think it is D.
Step-by-step explanation:
Evelyn can run 3 miles in 40 minutes. Which equation can be solved to find m, the number of miles Evelyn can run in 60 minutes? ___1 4 and ____ 4 10 ___3 40 5 _1 m __1 2 and __6 12 ___3 40 5 __ 60 m __ 3 8 and __9 16 ___3 40 5 __ m 1 __ 2 6 and ___3 12 ___3 40 5 ___ m 60
Answer:
Step-by-step explanation:
Let m be the number of miles that evelyn can run in 60 minutes.
If evelyn can run 3 miles in 40 minutes, to calculate the number of miles she can run in 60 minutes, we will apply the equality postulate as shown;
3 miles = 40 minutes
m miles = 60 minutes
Cross multiply
40* m = 3* 60
40m = 180
Divide both sides by 40
40m/40 = 180/40
m = 180/40
m = 4.5 miles
The equation that can be used to find m is 40m = 180 and the value of m is 4.5miles