Answer:
let's call the entire length of the foot race we are looking for: d
for distance.
We can then rewrite this problem as:
One-third of d
is 5 miles. What is d .
When dealing with fractions in this way the word "of" means to multiply. So we can write this problem in algebraic form as:
1 3 × d = 5
We can multiply each side of the equation by
3 to solve for d
while keeping the equation balanced:
3 × 1 3 × d = 3 × 5
3 3 × d = 15 1 × d = 15 d = 15
The length of the race is 15 miles.
Step-by-step explanation:
hope this helps
(5x+30 what is the value of x
Plzzzz help
ANSWER: 5 (× + 6)
Step-by-step explanation:
Hope this helpಠ◡ಠ
have a good day!❤️
Help me on 1. Please
are of a trapuiezuim
Step-by-step explanation:
that is the step by step
brainliest please
The scale of a map says that 4 cm represents 5 km. a. what distance on the map (in centimetres) represents an actual distance of 4 kilometres? b. What is the actual number of kilometres that is represented by 5 centimetres on the map?
Answer:
a. 3 cm
b. 6 km
Step-by-step explanation:
to be completely honest, I just shoot my answer based on the pattern.
if you notice that when the scale is 4 cm, the actual distance is 5 km. When the distance is 4 km, the scale should probably be 3 cm. It's the same with the 5 cm scale, then the distance should be 6 km
Step-by-step explanation:
Use ratios to solve it
a)
4 cm → 5 kmx cm → 4 kmx = 4*4/5 = 3.2 cm
b)
4 cm → 5 km5 cm → x kmx = 5*5/4 = 6.25 km
8. Use mental math to multiply. a) 235 times 0.1, b) 235 times 0.01, c) 876 times 0.01, d) 876 times 0.001,
Step-by-step explanation:
235•0.1=23.5
235•0.01=2.35
876•0.01=87.6
876•0.001=8.76
Answer:
23.5, 2.35
8.76, 0.876
Step-by-step explanation:
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. What was the total average speed?
Answer:
46.6666667
Step-by-step explanation:
we need to know the TOTAL average speed. To do that, we need to know how to get the speed, which is distance/time. Now we have to substitute. The equation we get is: s= (90+120)/(1.5+3). After solving, you should get s= (210miles)/(4.5hrs). Now all we have to do is divide, which equals 46.6666667.
Hope this helps! (:
The required average speed of Oliver is 46.67 miles per hour.
Given that,
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours, what was the total average speed is to be determined.
Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.
What is average?The average of the values is the ratio of the total sum of values to the number of values.
Here,
Total distance traveled = 90 + 120 = 210 miles
Total time taken = 1.5 + 3 = 4.5 hours
Average speed = distance / time
= 210 / 4.5
= 46.67 miles per hour
Thus, the required average speed of Oliver is 46.67 miles per hour.
Learn more about averages here:
brainly.com/question/24057012
#SPJ2
If a pair of alternate exterior angles are supplementary, what is the measure of each angle?
Louise got scores 88 and 78 on her first two tests. What score must she
make on her third test to keep an average of 80 or greater?
Answer:
You want the average of three scores to be at least 80:
(88 + 78 + x)/3 ≥ 80
88 + 78 + x ≥ 80(3)
166 + x ≥ 240
x ≥ 74
You must make at least 74 on the 3rd test to maintain an average of at least 80%
Step-by-step explanation:
Aloha!
Looking for some help with an Algebra 1 equation please. See photo below.
Answer:
3, 0
Step-by-step explanation:
So, if we rewrite our given equation to have its 0x its easier to picture factorising it.
Factorise into (x+3)(x-3)
Make this equation equal to zero
Solve for your two pairs, -3, 0 (which was given in the question- I wrote this in green)
and 3, 0 (I wrote this in blue)
9514 1404 393
Answer:
(-3, 0) (given) and (3, 0)
Step-by-step explanation:
Apparently, the "solution" you're looking for is the solution to f(x) = 0.
To find the solutions, look for table values where y = 0. The solutions are the corresponding x-values. The (x, y) pairs that are solutions can be read from the table:
(-3, 0) and (3, 0)
Round 45.395 to the nearest hundredth
nnnnnnnnnnnnjnjnnnnnnnjjjnjnjhj
Answer:
Thank you for the points and you sertanly right
Step-by-step explanation:
Answer:
7:3 35:65 56/104 14/26
Step-by-step explanation:
You can pick three!
Write three numbers that round to 80,000 when rounded to the nearest ten thousand
Answer:
79,000 78,000 77,000
Step-by-step explanation:
Looking at the number behind the ten-thousands place, the number being higher than five makes the seven round up to 8
What is each percent of change? round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? $300 to $200
Answer:
33.3333 percent dectearse
REALLY URGENT!!!
Question: Find the equation of the line specified.
Perpendicular to 3x + y = -7 and passing through (1,8)
(i really need an explanation on how to do this)
Answer:
[tex]y=\frac{1}{3}x+7.6666[/tex]
Step-by-step explanation:
First we must convert [tex]3x+y=-7[/tex] into slope-intercept form!
To do this we simply just need to subtract -3x from the 3x on the left and move it to the right side. This would result in: [tex]y = -3x-7[/tex]
Now that we have our slope-intercept form for the equation remember that to find the equation that is perpendicular to the given equation, you need to use the opposite reciprocal of the slope. This would be [tex]\frac{1}{3}[/tex] as that is the reciprocal and opposite of [tex]-\frac{3}{1}[/tex]
Now in order to find the "b" variable of the equation that goes through the ordered pair (1, 8) we need to plug it in to the given equation!
That equation would be: [tex]y=\frac{1}{3}x-7[/tex]
Given that x = 1 and y = 8 we can plug those in like so:
[tex]8=\frac{1}{3}(1)+b[/tex]
(make sure to set the -7 to b as that's what we're solving for)
1 / 3 is 0.3333 (infinitely repeating)
Next we need to subtract 0.3333 from 8, which would be 7.6666 (infinitely repeating) Remember that the variable needs to be "alone"!
Now we have our "b" for the equation! Hence the equation would be:
[tex]y=\frac{1}{3}x+7.6666[/tex]
(you can also use [tex]\frac{23}{3}[/tex] for the b as that is the "exact form" of 1 / 3 but they both work)
Hope this helps! Feel free to ask questions!
Mass refers to the amount of matter that an object contains.
Question 1 options:
True
False
Answer:
true
Step-by-step explanation:
true the definition is right
14. As x increases in the equation 3x – 2y = 6, the value of y
a. increases
b. decreases
c. does not change
d. cannot be determined
What is greater 0.5 or 2/4 plz help
Step-by-step explanation:
Both are equal
0.5 and 2/4 = ½ = 0.5
Answer:
they are both the same
.5
and 2/4 as a decimal is .5
Step-by-step explanation:
Whoever answers i’ll mark brainliest
Draw out a two column proof
Find the value of x
Answer:
2
Step-by-step explanation:
please mark brainiest hope it works out for you
f(x) -2x-6 and g(x)=3x+9 find (f-g)(x)
9514 1404 393
Answer:
(f -g)(x) = -5x -15
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-2x -6) -(3x +9) = -2x -6 -3x -9
(f -g)(x) = -5x -15
Identify the terms and coefficients of −4 √ x + y − 5x
Answer:
The coefficient of -4√x is -4; that of y is 1; and that of -5x is -5.
Step-by-step explanation:
The terms include -4√x, y, -5x.
The coefficient of -4√x is -4; that of y is 1; and that of -5x is -5.
Help to find the correct answer please
Answer:
The slope is -3/2
The y intercept is (0, -5) :)
Step-by-step explanation:
the slope is whatever is times by x
the y intercept is what’s being subtracted by it
The values of m and b from the equation of the given line are;
m = -3/2 and b = -5
Slope intercept formWe are given the equation;. y = -(3/2)x - 5
Now, the general form of an equation of a line in slope intercept form is;
y = mx + b
Where;
m is slope
b is y-intercept
Thus, comparing the general form to our given equation, we can see that;
m = -3/2 and b = -5
Read more about slope intercept form at; https://brainly.com/question/1884491
- Find the final price of a $13.00 tank top after a 30%
discount and 2% tax.
Answer:
i have no clue use guath math
Step-by-step explanation:
Over a 5-hour period, the
temperature dropped a total of
12. If the temperature is now
72", what was the temperature at
the beginning of the 5-hour
period?
Answer:
12°F
Step-by-step explanation:
Temperature dropped
2°F
every
1
hour
After
6
hours
6
hours
×
2°F drop
1
hour
=
12°F drop
There is a drop in
12°F
yesterday Grace drove 41 1/2 Miles she used 1 1/4 gallons of gasoline which is the unit rate for miles per gallon
Answer:
The answer should be 41 miles per hour
Step-by-step explanation:
(2)/(7):0.6x=(4)/(21):0.25
Answer:
= 1.6
Unless you meant to clarify what in the equation you needed, but that is the answer to it.
Which is more, 9 pints or 16 cups?
Answer:
9 pints
Step-by-step explanation:
there are two cups in a pint, so we need to divide 16 by 2 to convert the cups to pints.
16 ÷ 2 = 8
9 is greater than 8, so 9 pints.
Two spotters of tornado are on a road running east-west and are 35 miles apart. The west man spots a tornado at bearing N 43° E and the east man spots the same tornado on a bearing of N 59° W. How far is the tornado from each man and how far is the tornado from the road?
The distance between the tornado, and both spotters is an illustration of bearing and distance.
The distance between the tornado and the spotter at the west is 30.67 milesThe distance between the tornado and the spotter at the east is 24.40 milesThe distance between the tornado and the road is 20.91 milesSee attachment for the positioning of the tornado, and the two spotters.
First, we calculate the angle T.
[tex]\mathbf{\angle T + 43 + 59 = 180}[/tex] ---- Sum of angles in a triangle
[tex]\mathbf{\angle T +102 = 180}[/tex]
Subtract 102 from both sides
[tex]\mathbf{\angle T = 78}[/tex]
From the attached figure:
y represents the distance between the tornado and the spotter at the westz represents the distance between the tornado and the spotter at the east x represents the distance between the tornado and the roadTo calculate y, we make use of the following sine formula
[tex]\mathbf{\frac{y}{sin(59)} = \frac{35}{sin(78)}}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{35}{sin(78)} \times sin(59)}[/tex]
[tex]\mathbf{y = 30.67}[/tex]
To calculate z, we make use of the following sine formula
[tex]\mathbf{\frac{z}{sin(43)} = \frac{35}{sin(78)}}[/tex]
Make z the subject
[tex]\mathbf{z = \frac{35}{sin(78)} \times sin(43)}[/tex]
[tex]\mathbf{z = 24.40}[/tex]
Next, we calculate x, using the following sine trigonometry ratio
[tex]\mathbf{sin(59) = \frac{x}{z}}[/tex]
Make x the subject
[tex]\mathbf{x = z \times sin(59)}[/tex]
Substitute [tex]\mathbf{z = 24.40}[/tex]
[tex]\mathbf{x = 24.40 \times sin(59)}[/tex]
[tex]\mathbf{x = 20.91}[/tex]
Hence, the required distances are 30.67 miles, 24.40 miles and 20.91 miles.
Read more about bearing and distance at:
https://brainly.com/question/19017345
Solve equation for 5(x - 3) + 2 = 5(2x - 8) - 3
Answer:
Easy pie
Step-by-step explanation:
5(x - 3) + 2 = 5(2x - 8) - 3
5x - 15 + 2 = 10x - 40 - 3
5x - 10x = 15 - 2 - 40 - 3
-5x = -30
5x = 30
x = 6
which table represents a function? will give brainliest and maybe money
Answer:
3)
Step-by-step explanation:
The x side of the table can't have the same numbers, while the f(x) side can.
:)
also f(x) is the same as y on a table therefore has the same rule.