The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
What is Unit rate?A unit rate means a rate for one of something.
Given that a pickup truck travels 45 miles on 2[tex]\frac{1}{3}[/tex] gallons of gas,
Since there are 45 miles in 7/3 gallons
So, 45*3/7 in one gallon = 19[tex]\frac{2}{7}[/tex] Miles in one gallon
Hence, The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
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When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score
Answer:
-5
Step-by-step explanation: Yeah i think its -5
BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP
3r+4=qr-5p for r
Answer:
r = qr - 5p - 4
Step-by-step explanation:
3r + 4 = qr - 5p
Subtract:
3r = qr - 5p - 4
Divide:
r = qr - 5p - 4
Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.
4x²-6xy
PLZ
HELP
I
GIVE
5
STARS
yep I get the same thing what the other person is right
A line passes through (0, 2) and has a slope of 13 .
What is the equation of the line in slope-intercept form?
y=13x+2
y=13x−2
y=−13x+2
I don't know.
Answer:
y=1/3x+2
Step-by-step explanation:
Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Given :
A line passes through (0, 2) and has a slope of 1/3
The equation of a line in slope intercept form is y=mx+b
where m is the slope and b is the y intercept
From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]
The line passes through (0,2) that is our y intercept b
b= 2
Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b
[tex]y= \frac{1}{3} x+2[/tex]
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
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The temperature in Alaska dropped –50.16°C in 5.7 hours. How much did the temperature drop per hour? 5.7°C 8.8°C –5.7°C –8.8°C
Answer:
–8.8°C
Step-by-step explanation:
Find the measure of angles 1,2 and 3
Answer:
1-75 2-105 3-35
Step-by-step explanation:
1- 180-75-30=75
2- 180-75=105
3- 180-105-40=35
between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year
Explanation:
2008 - 2002 = 6 years have passed
In that time frame, we lost 26 cubic miles of ground water.
This means we lost about 26/6 = 4.333 cubic miles of ground water per year.
Evaluate: 5m when m=8
FAST AND HURRY!!
Answer:
40
Step-by-step explanation:
If m = 8, then you would multiply 5 by 8
So the answer is 40
Hope this helps :)
Answer:
5m when m = 8 is 40
Step-by-step explanation:
When you substitute (replace) m with 8, it becomes 5(8).
5(8) means 5 multiplied by 8, which gives you 40.
To check, dividing 40 by 5 is 8. Dividing 40 by 8 is 5.
Hope this helped! :)
What is the value of the expression below?
8 *divide* 2 + 6x5
Answer:
34
Step-by-step explanation:
8/2 = 4
6 times 5 = 30
30 + 4 = 34
Can someone please tell me if the following relations are functions please?
It's math Question i need Your help---)
Answer:
1no
125
2no
12.9
hope that this will help u
Which property is used in the following expression ? 8(2 + 7) = 16 + 56
Answer:
Distributive property
Step-by-step explanation:
Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:
1. The amount of plant food remaining in the container after each days study.
2. The height of the plant over time.
Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question
Determine the domain and the range for this relationship.
0≤y ≤6
0 ≤x ≤72
{0, 12, 24, 36, 48, 60, 72}
0 ≤x ≤6
{0,1,2,3,4,5,6}
{0,6,12,18,24,30}
0 ≤y ≤72
Answer:
Domain: [tex]0\leq x\leq 6[/tex]
Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]
Step-by-step explanation:
Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.
[tex]x[/tex] be the number of days that have passed.
Total amount of plant food used is 72 mm.
Number of days the experiment goes on is 6 days.
Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].
So, the function will be
[tex]y=f(x)=72-12x[/tex]
at
[tex]x=0,y=72[/tex]
[tex]x=1,y=72-12\times 1=60[/tex]
[tex]x=2,y=72-12\times 2=48[/tex]
[tex]x=3,72-12\times 3=36[/tex]
[tex]x=4,72-12\times 4=24[/tex]
[tex]x=5,72-12\times 5=12[/tex]
[tex]x=6,72-12\times 6=0[/tex]
Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].
Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].
A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?
Answer:
Answer is 36,220
Step-by-step explanation:
a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)
Answer:
A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
B. [tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Step-by-step explanation:
a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.
Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:
[tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
(-2)^3=
Answer:
[tex]\left(-2\right)^3=-8[/tex]
Step-by-step explanation:
Given the expression
[tex](-2)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-2\right)^3=-2^3[/tex]
[tex]=-2^3[/tex]
[tex]=-8[/tex] ∵ [tex]2^3=8[/tex]
Therefore,
[tex]\left(-2\right)^3=-8[/tex]
Find the measures of ∠B and ∠C given that m∠B=(2.5x+6)∘ and m∠C=(7x−12)∘.
The figure shows triangle A B C. Side A B is congruent to side A C.
answers are one of the following
∠B = 4° and ∠C = 4°
∠B = 16° and ∠C = 16°
∠B = 20° and ∠C = 20°
Answer:
since AB=AC it is an isosceles triangle so ...
Step-by-step explanation:
angle B = angle C
2.5x + 6 = 7x - 12
4.5x = 18
therefore x = 4
substituting the value of x we get answer
angle B = 16
angle C = 16
Write the equation of the line in slope intercept form that passes through the two points: (1,-6) and (-3,2)
Please explain so I can understand this
Answer:
y = -2x - 4
Step-by-step explanation:
Formula is y = mx + b where m is the slope and b is the y-intercept
(1, -6) (-3, 2)
[tex]\frac{-6-2}{1-(-3)}=\frac{-8}{4} =-2[/tex]
The slope is -2
y = -2x + b
So let's find b, insert 2 for y and -3 for x to find b
2 = -2(-3) + b
2 = 6 + b
Subtract 6 from both sides to get b alone
-4 = b
We found what b equals (the y-intercept), which is -4
So, the equation is y = -2x - 4
Hope this helps and pls do mark me brainliest:)
A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1
Answer: 54
9% of 600 would be 54.
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
Which of the following statements best describes the location of -(-6) on a number liner
A. It is 6 units to the left of 0.
B. It is 6 units to the night 6.
C. It is 6 units to the right of 0.
D. It is 6 units to the left of 6.
lol i literally just asked for help on a different problem, but this is a word problem and they always confuse me
problem:
My sister has three Maltese puppies. Scout weighs 8 1/3 pounds. Kenadi weighs 3 1/8 pounds, and Major weighs 8 1/5 pounds. What is the order of the puppy’s weights from least to greatest?
Answer:
D) 3 1/8, 8 1/5, 8 1/3
Step-by-step explanation:
The order of the puppies' weights from least to greatest is the following:
[tex]3\frac{1}{8} , 8\frac{1}{5}, 8\frac{1}{3}[/tex]
Three wholes are less than eight wholes, which means that the puppy named Kenadi weighs the least.
Scout and Major weigh a bit more than eight pounds. However, Major weighs less than Scout because one fifth is less than one third.
[tex]8\frac{1}{5} < 8\frac{1}{3}[/tex]
This is why the correct option is D.
Answer:
D
Step-by-step explanation:
factor 7x+35 PLEASE HELP
Answer:
7(x+5)
Step-by-step explanation:
The greatest common factor is 7
7*x + 7*5
Factor out the 7
7(x+5)
Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?
We conclude that Vincent has raised a total of $7.50
how much money has Vincent raised?
We know that initially, he has 20 candy bars.
He sells 3/10 of that total number, so the number of candy bars sold is:
N = (3/10)*20 = 6 candy bars.
And sells each for $1.25, so the total amount that has Vincent raised is:
R = 6*$1.25 = $7.5
We conclude that Vincent has raised a total of $7.50
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Answer:
b = 148.5052112
Step-by-step explanation:
To find the value of b we will use the trigonometry functions
∵ The triangle is a right triangle
∵ The measure of one of its acute angles = 68°
∵ The length of the side opposite to the angle of measure 68° is b
∴ The opposite side = b
∵ The length of the side adjacent to the angle of measure 68° is 60
∴ The adjacent side = 60
∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]
∴ tan(68°) = [tex]\frac{b}{60}[/tex]
→ Multiply both sides by 60 to cancel the denominator of the right side
∴ 60 × tan(68°) = b
∴ 148.5052112 = b
∴ b = 148.5052112
Answer:
b = 148.5052112
Step-by-step explanation:
A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, how many cups of pineapple should you use.
Answer:
You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
Step-by-step explanation:
With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:
30 cups of orange juice → 18 cups of pineapple juice
1 cup of orange juice → x
x=(1*18)/30=0.6 cups of pineapple juice
According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.
here is a list of ingredients for making 12 rock cakes nihay wants to make 42 cakes does she have enough sugar to make 42rock cakes u must show your working
Step-by-step explanation:
So we know that for 12 rock cakes we need 225g flour and 75g sugar to get 42 rock cakes we need to multiply the number of ingredients by 3.5 (42/12 =3.5)
This gets us 787.5 g flour and 262.5 g sugar.
Show work:
[tex]42 \div 12 = 3.5[/tex]
[tex]225 \times 3.5 = 787.5[/tex]
[tex]75 \times 3.5 = 262.5 [/tex]
[tex]787.5 < 800[/tex]
[tex]262.5 < 300[/tex]
Nishat has enough flour and sugar to make 42 rock cakes.
Luke called a repairman to fix the furnace at his cabin. The repairman charged $35 per hour plus a fee of $25 for the service call, as represented by the expression in the box.
(THE EXPRESSION IN THE BOX IS "35x + 25")
In the expression, what is represented by the variable x?
A) the number of hours it took the repairman to fix the furnace.
B) the distance in miles from the repairman's shop to Luke's cabin.
C) the number of service calls made by the repairman to Luke's cabin.
D) the total amount in dollars that Luke paid to have the furnace repaired.
(I need the answer ASAP)
Answer:
The answer is A.
Step-by-step explanation:
To find the value you have to know how many hours the repairman took to repair. Then after you find how many hours he took multiply the hours by 35 than add 25.
So the equation would look like 35x hr+25 =
hr=hours
You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.