Answer:
[tex] d = 24g [/tex]
Step-by-step explanation:
The graph shows a proportional relationship between distance travelled in miles and the gallons of gas used. Thus, a simple equation can be written to represent this relationship by simply applying the the equation that describes a proportional relationship.
Equation representing a typical proportional relationship is y = kx, where k is the constant of proportionality.
In this case,
y = distance in miles travelled represented by d
x = gallons of gas used represented by g
k = constant of proportionality which is distance travelled per gallon = [tex] \frac{d}{g} = \frac{120}{5} = 24 [/tex]. (note: to get k, you can use any coordinate pair of a point in the line graph).
Therefore, an equation that can be used to find the distance travelled is:
[tex] d = 24g [/tex]
A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional. Which equation shows this relationship?
A. h = 70t
B. t=70h
C. h=70 + t
D. t = 70 - h
B) t = 70 h
A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional.
−(1/4w+8)+8=3
the 1/4 is a fraction
Answer:
w = -12
Step-by-step explanation:
-1/4w - 8 + 8 = 3
-1/4w = 3
w = 3 / -1/4
w = 3*4/-1
w = 12/-1
w = -12
oven temperture rose 3 degrees in 1/6 of a minute how much will it heat up in a minute
Answer:
18
Step-by-step explanation:
6 times 3=18
Answer:
18 degrees
Step-by-step explanation:
If it rose 3 degrees in 1/6 of a minute you just have to multiply 3*6=18
Because if 1/6=3 6/6=18
Write an addition expression that equals 8. Use at least 1 zero pair (i think I’m just slow lol)
Answer:
8 use at least one zero That what they said in my math class I hope the answer right
A school has a square playground with each side
measuring 120 feet. A scale drawing of the playground uses the scale 1/2 inch equals 12 feet. What is the length of a side of the playground on
this scale drawing?
Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.
16x0 + 2x2 • y –1
Answer:
16×2×0+2×2×2.y-1
0+8.y-1
8.4-1
8.3
I'm having a hard time understanding this
Answer:
Angle DHG
Step-by-step explanation:
Help me with the lesson performance task please !!!!
In a basketball contest , Elizabeth
Answer:
Elizabeth what??????
PLEASE HELP ASAP 20 PTS
1. Name two vertical angles.
2. Name a linear pair with vertex B.
3. Name an angle not adjacent to, but complementary to ZFGC.
4. Name an angle adjacent and supplementary to ZDCB.
5. Write the statement All dogs have four feet in if-then form.
Write an equation of the line that passes through the points (-9,-6) and (-8,1)
Answer:
y= 7x+57
Step-by-step explanation:
Answer:
y+6=7(x+9)
Step-by-step explanation:
Got this off delta math straight off the back! If this was help put a star and press the thanks button!
Find the value of this triangle!
From what I understand, we need to find x, y, and z.
We can easily find x by knowing a triangle has 180°.
Add 72+86=158 and then subtract 180-158 which gets you 22.
Now we have x=22°.
To find y, we first must find z. We can find z using the vertical angles theorem. This means x and z and the same, so z=22°.
Now, we can now find y by adding 70 and 22 = 92.
Subtract 180-92=88°.
All values have been found!
x=22°
y=88°
z=22°
what is the measure for the following angle?
AOC
Answer:
40 degrees
cuz 40+40=80
Determine whether each statement is true or false.
Answer:
A. True
B. True
C. False
D. False
Step-by-step explanation:
Solve for c: The difference between a number c and 17 is 3.
Answer:
20
Step-by-step explanation:
Step 1:
c - 17 = 3 Equation
Step 2:
c = 3 + 17 Add 17 on both sides
Answer:
c = 20
Hope This Helps :)
Write the slope-intercept form of the equation of each line
5x-2y=15 solve for y
Answer:
this should be it
Step-by-step explanation:
Cholesterol levels in men 18 to 24 years of age are normally distributed with a mean of 178 and a standard deviation of 41. The cholesterol levels in women 18 to 24 years of age has a mean of 167 with a standard deviation of 38. What is the percentage for a 20 year old man with a cholesterol level less than 190?
Answer: 61.51%
Step-by-step explanation:
To find : percentage for a 20 year old man with a cholesterol level less than 190.
20 lies between 18 and 24.
For this , Cholesterol levels are normally distributed with a mean([tex]\mu[/tex]) of 178 and a standard deviation([tex]\sigma[/tex]) of 41.
let X = cholesterol level in 20 year old man.
Required probability = [tex]P(X< 190)=P(\dfrac{X-\mu}{\sigma}<\dfrac{190-178}{41})[/tex]
[tex]=P(z<0.2926)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\= 0.6151 [\text{By p-value table}][/tex]
hence, the percentage for a 20 year old man with a cholesterol level less than 190 = 61.51%
In the process of making a financial forecast, Farid has been looking closely at his
variable expenses. Currently, each week he spends an average of $25 on food, $30 on
entertainment, and $40 on clothing and other purchases. If Farid reduced his variable
expenses in each of these three categories by $7 a week, how much would he save
over the course of one year?
Answer:
1092
Step-by-step explanation:
first calculate expense for each week;
25+30+40= 95
expense after saving
25-7= 18
30-7=23
40-7=33
18+23+33= 74
total saving for each week= 95-74=21
(you can also just do 7*3=21 to know total saving each week)
weeks in a year=
365 days/7= 52.14 = 52 weeks
total savings for the year= 52*21=$1092
Answer:
$1092Step-by-step explanation:
There are 3 variables
Food, entertainment and clothing and other purchasesSaving amount is
$7 per each variable per weekTotal saving per week is
$7*3 = $21Saving per year considering 52 weeks per average year is:
$21*52 = $10923)
Find x and y
Helpppp please
Answer:
x = 20
y = 25
Step-by-step explanation:
Vertical angles are always congruent, that is a theorem.
Set the vertical pairs equal to each other.
182 - 4x = 5x + 2
The lowest of the two coefficients is 4x, so that will be added to both sides.
4x + 5x = 9x
Simplify
9x + 2 = 182
Subtract both sides by 2
9x = 180
Divide by 9
180/9 = 20
x = 20
Plug in the 20 to get the angle measure.
182 - 80 = 102
the vertical pairs are 102 degrees
There is another theorem that sets the two angles outside as congruent.
So set 4y + 2 = 102
Subtract 2
100
Divide 4, which equals 25
y = 25
Convert 214 pounds to kilograms. Use 1 kg = 2.2 lb.
Answer:
97.27 kg
Step-by-step explanation:
1kg = 2.2 lb
214 lb = ?kg
Make it into an equation:
1 kg/ 2.2 lb = ?kg / 214 lb
? = 1kg x 214lb ÷ 2.2 lb
?= 214lb ÷ 2.2 lb
? ≈ 97.27 kg / 214 pounds
Verify :
97.27 x 2.2 ÷ 214 ≈ 0.99 ≈ 1 kg
Pedmas
When solving Pedmas and there are brackets inside brackets what should you do to get the operations right?
13POINTS!!
Could mark as brainelist
Answer:
Step-by-step explanation:
You do what's in the innermost brackets first, unless you have an unknown variable.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the next two numbers in the pattern.
−12,60,−300,1500
the pattern is
multiplied by -5
so...
1500 *-5 = -7500
-7500*-5 = 37500
hope this helps
Answer:
-7500,37500 are next two numbers in the pattern
The slopes of lines PQ and P'Q' can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Answer:
100% (A)
Step-by-step explanation:
I got it right on da test ..believe me Foh
Answer:
Ayo the answer is A, yo!
Step-by-step explanation:
Do supplementary angles always form a straight line
Answer:
Yes
Step-by-step explanation:
Supplementary angles are a set of angles that always add up to 180 degrees.
Use scientific notation to find the product of 7.13 × 10^-3 and 40. Include all of your calculations in your final answer.
Answer:
Answer: 2.852 × 10-1
Step-by-step explanation:
7.13 x 10^-3 = 0.00713
0.00713 x 40 = 0.2852
0.2852 = 2.852 × 10-1
Answer:
Answer: 2.852 × 10-1
Step-by-step explanation:
7.13 x 10^-3 = 0.00713
0.00713 x 40 = 0.2852
0.2852 = 2.852 × 10-1
Somebody help me this is on my final and I don’t wanna fail it please somebody help me
Answer:
D
Step-by-step explanation:
they both equal each other. 5x+7=9x-63
then you would take 70 divided by 4
which equals 17.5
Answer:
A
Step-by-step explanation:
5x + 7 + 9x -63 = 180
14x - 56 = 180
+ 56 +56
14x = 236
divide both sides by 14
x = 16.85
Jay decides to go parachuting. Her elevation drops by-80 feet in 8 seconds, How far is she dropping each second
Answer:
10 feet per sec
Step-by-step explanation:
since she dropped by 80 feet in 8 sec therefore she dropped 10 feet in 1 sec
Two shelters offers dog adoption twice a year ruff had 123 dogs adoption in january 196 fogs adoption in July barks had 78 dogs adoption in January and 135 adoption in July estimates the difference in the number of dogs adoption at each shelter that year
Answer:
106
Step-by-step explanation:
ruff
123 dogs adoption in january
196 dogs adoption in July
Total adoption for the year = 123 + 196
= 319 adoptions
barks
78 dogs adoption in January
135 adoption in July
Total s like adoption for the year = 78 + 135
= 213 adoptions
Difference in the number of dogs adoption at each shelter that year
= Ruff total adoption for the year - Bark's total adoption for the year
= 319 adoptions - 213 adoptions
= 106
The difference in the number of dogs adoption at each shelter that year is 106