Answer:
[tex] x = \frac{1}{64} [/tex]
Step-by-step explanation:
[tex] \frac{4x}{1} = \frac{1}{16} [/tex]
Then you CROSS MULTIPLY.
WHICH IS.
4x × 16 = 1
64x = 1
Then you divide both sides by coefficient of x which is 64.
[tex] \frac{64x}{64} = \frac{1}{64} [/tex]
x = 1/64
solve 2x-4y=10 and x+5y=40
Answer:
y = 1/2x + 2.5 and y = -1/5x + 8
Step-by-step explanation:
2x - 4y = 10 (subtract 2x on each side)
-4y = -2x + 10 ( divide by - 4 on both sides)
y = 1/2x + 2.5
x + 5y = 40 (subtract x on both sides)
5y = -x + 40 (divide by 5 on both sides)
y = -1/5x + 8
Hope this helped!!
help i need an answer asap
Answer:
The answer is 3.7
✨
Enter an expression in the box to write a quadratic function given the vertex (7,-4) and the point (5, 8).
Answer:
f(x) = 3(x - 7)² - 4Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (7, -4) ⇒ h = 7, k = -4
so:
f(x) = a(x - 7)² + (-4)
f(x) = a(x - 7)² - 4
The parabola goes through the point (5, 8) ⇒ x=5, f(x)=8
8 = a(5 - 7)² - 4
8 = a(-2)² - 4
+4 +4
12 = 4a
÷4 ÷4
a = 3
It means the equation of the parabola in vertex form:
f(x) = 3(x - 7)² - 4
A car rental agency charges a base fee of $50 plus an additional charge of $0.40 for every mile driven. The total charge, c, is given by the equation. c = 50 + 0.40m, where m represents the miles driven. When Mr. Sims rented a car, his total charge was $178.00. How many miles did Mr. Sims drive the car? *
Answer:
Mr. Sims drove 320 miles.
Step-by-step explanation:
c = 50 + 0.40m
178 = 50 + 0.40m
128 = 0.40m
m = 320
represent in number line
1/5 and 2/5
See picture for math work and answer.
Who wants to smash some COD 1 on a ps3 in the morning
Answer:
Step-by-step explanation:
Meeee
hey help quick...please
Answer:
A
Step-by-step explanation:
2Red 6 Blue Balls
+4Yellow
= 6 balls
Find the slope for each pair of points (1,2), (4,3)
HELP plzz
Answer:
slope is 1
Step-by-step explanation:
Hope this helps
What is 1 2/3m + 2 = 2 1/6? Solve for m and show your work please
Answer:
Step-by-step explanation:
1+2/3m+2=2+1/6
We move all terms to the left:
1+2/3m+2-(2+1/6)=0
Domain of the equation: 3m!=0
m!=0/3
m!=0
m∈R
We add all the numbers together, and all the variables
2/3m+1+2-(1/6+2)=0
We add all the numbers together, and all the variables
2/3m+3-(1/6+2)=0
We get rid of parentheses
2/3m+3-2-1/6=0
We calculate fractions
There is no solution for this equation
Answer: m = 1/10
Step-by-step explanation:
1 2/3m + 2 = 2 1/6
Firstly, subtract 2 from both sides to get m alone:
1 2/3m = 1/6
Now, to get m alone, divide both sides by 1 2/3:
m = 1/10
Hope this helps!
You measure a tree's shadow and find that it is x = 13 meters long. Then you measure the shadow of a nearby two-meter lamppost and find that it is 75 centimeters long. (See figure.) How tall is the tree? (Round your answer to one decimal place.)
Answer:34.7
Step-by-step explanation:
h/ 13 = 2/0.75
h= 2 • 13 / 0.75
34.7 m (rounded)
Tree is 34.7m tall.
What is similar triangle?In similar triangle, shape is same but size is varing. So the ratio of corresponding sides are also equal.
So according to asked question,
Let height of the tree =h
The triangle formed by the tree and its shadow is similar with the triangle formd by the the trangle formed by the lamppost and its shadow.
So, according to the propoties of the similar triangle
a₁/a₂=b₁/b₂
h/x=2m/75cm
⇒h/13=2/(3/4)
⇒h/13=2*4/3=8/3
⇒h=8*13/3=34.666≅34.7m
Therefore tree is 34.7m tall.
Learn more about similar triangle
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use the graph to answer the following question. For what values of x does f(x)=4
0,4
is where it would land and you can
A truck can be rented from company A for $120 a day plus $0.50 per mile. Company b chargers $80 a day plus $0.70 per mile to rent the same truck. Part A write a equation. To find the number of miles in a day at which the rental costs for company A and company B are the same Part b solve the equation
Answer:
Part A: [tex].50x+120 = .70x+80[/tex]
Part B: [tex]200[/tex] miles
Step-by-step explanation:
So to start, we need to put this information into slope-intercept form. Slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] represents the slope of a line and [tex]b[/tex] represents the y-intercept. In this question [tex]y[/tex] represents the total cost of the rental, [tex]x[/tex] represents the number of miles driven, [tex]m[/tex] represents the price per mile, and [tex]b[/tex] represents the base price of the rental. Now that we know the variables, we need to plug in the information we have.
Since we know that company A charges $125 a day and $0.50 per mile we would have [tex]y=.50x+120[/tex]
Since we know that company B charges $80 a day and $0.70 per mile we would have [tex]y=.70x+80[/tex]
Now that we have two equations we can move onto the next step. We're looking to know the number of miles ([tex]x[/tex]) that would make the total cost ([tex]y[/tex]) equal. To do this we can make the equations equal each other since we know that [tex]y[/tex] will be the same.
Written out, the equation will look like this: [tex].50x+120 = .70x+80[/tex]
Now, we are trying to find [tex]x[/tex] so we need to isolate the variable.
To start we need to put [tex]x[/tex] on the same side so we'll subtract [tex].70x[/tex] from both sides to get [tex]-.20x+120=80[/tex]
Next, we'll subtract [tex]120[/tex] from both sides of the equation to get [tex]-.20x=-40[/tex]
Finally, we'll divide both sides by [tex]-.20[/tex] to get [tex]x=200[/tex]
This means that at [tex]200[/tex] miles, both companies will cost the same amount.
add the polynomials (2x + 3) + (2x + 1)
Answer:
4(x+1)
Step-by-step explanation:
Factor 2x+3+2x+1
4x+4
=4(x+1)
Answer:
here's your answer
please mark me as brainliest
· Jim put a fence around a rectangular area. A scale drawing of the area
has a length of 3.5 inches and width of 2.5 inches. If the scale of the
drawing is 1 inch = 5 feet, what is the actual perimeter of the fenced
area?
Answer: 73 feet
Step-by-step explanation:
1inch =5feet
L=3.5 inches W=2.5 inches
P= L1+L2+W1+W2
L=3.5(5) =17.5
W= 2.5(5) = 12.5
17.5+ 17.5 +12.5+ 12.5= 73 feet
Find the x- and y-intercepts :
Y= 3x + 9
Answers:
y = -3 and x = 9
y = 9 and x= -3
Which one should I choose?
Answer:
(y= -3 and x = 9)
Step-by-step explanation:
For the y intercept, make x = 0 and solve. For the x intercept, make f(x) = 0 and solve.
Tickets at an amusement park are $25 for children and $45 for adults, the Jones family has 4200 cash
and they have two children, what is the maximum amount of adult tickets they can purchase?
Step-by-step explanation:
$4200 - $50
= $4150
4150 divided by 45 = 92.222.......
92.222 is approximately 93
So you can purchase 92/93 tickets in total
Since tickets are physical things, I dont think you can approximate it but that's my answer
The maximum amount of adult tickets they can purchase are 92.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are tickets at an amusement park that are $25 for children and $45 for adults. The Jones family has 4200 cash and they have two children.
Assume that they could purchase [n] number of adult tickets.
Cash remaining for adult tickets = 4200 - 2(25)
The total number of adult tickets that can be buyed are calculated as follows -
45n = 4200 - 2(25)
45n = 4200 - 50
45n = 4150
n = 4150/45
n = 92 (exact value)
Therefore, the maximum amount of adult tickets they can purchase are 92.
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CAN SOMEONE PLEASE HELP ME IF YOU CAN
Answer: 6x^2+3x
Step-by-step explanation:
Solve for r:
6r-12=-30
Answer:
r=-3
Step-by-step explanation:
the first step in this equation is to isolate 6r,to do this you got to add 12 to -30 which you get -18 which gives the equation 6r=-18 which now you got to divide both sides by 6 which you should get r=-3
Answer:
r=-3
Step-by-step explanation:
add 12 to -30 you get -18 divide -18 by 6 and you get -3
6+4=210
9+2=711
8+5=313
3+2=15
8+3=??
Answer:
11
Step-by-step explanation:
Two numbers that are the same distance from zero on a number line are called ___ numbers
Answer:
They are called opposites.
Step-by-step explanation:
"Zero is called the origin, and it's neither negative nor positive. For every positive integer, there's a negative integer an equal distance from the origin. Two integers that lie the same distance from the origin in opposite directions are called opposites. For example, negative 5 is the opposite of positive 5."
Hope this helps :)
PLEASE HELP!!!
Tony has 6 dollars in change in his car. Every time he drives to visit his grandma, he pays $1.25 in tolls. Which graph represents the change Tony has in his car?
Answer:
I'd assume the last one but I don't know exactly what the graph is measuring
How would -9-(-5) look like as an addition problem?
Answer:
-9+5=-4
Step-by-step explanation:
a negative times a negative is always a positive.
Answer:
-9 + 5
Step-by-step explanation:
If there is a negative sign in front of a negative number in parenthesis, then that makes the negative number a positive number which is -9 + 5
Pls help meeeeeeee Solve 10 + 6p = 22
Answer:
p=2
Step-by-step explanation:
22-10=12
12/6p=2
Is PQS congruent to RQS by HL? If so, name the legs that allow the use of HL.
Answer:
Yes.
RS ≅ PS
QS ≅ QS
Step-by-step explanation:
The Hypotenuse-Leg Congruence Theorem states that when the hypotenuse and one leg of a Right-angled triangle are congruent to that of another Right-angled triangle, the two Right-angled triangles are therefore congruent.
In the diagram given, the hypotenuse (RS) and a leg (QS), of ∆RQS is congruent to the hypotenuse (PS) and a leg (QS) of ∆PQS. Therefore, ∆PQS is congruent to ∆RQS by HL Congruence Theorem.
Yes, PQS congruent to RQS by HL is true statement according to the diagram.
Hence :
RS ≅ PS
QS ≅ QS
Step-by-step explanation:
Given information:
The hypotenuse RS and PS
And leg QS.
Hypotenuse-Leg (HL) theorem:
The H-L theorem states that If, the hypotenuse and one leg of a Right-angle triangle are congruent to that of another right angle triangle then the given two right angled triangle will be congruent.
As, we can see in the given diagram the hypotenuse (RS) and the leg (QS) of triangle ΔRQS is congruent to hypotenuse (PS) and leg (QS) of triangle ΔPQS.
Hence , we can say that the ΔPQS is congruent to ΔRQS by H-L Congruent theorem.
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What is the value of 2x^2-5x+6 when x= -2
A. -24
B. 4
C. 24
Or D. 32
Answer:
C=24
Step-by-step explanations:
Paco grew 12 plants with 4 seeds packets. How many seeds packets does Paco need to have a total of 18 plants in his backyard? Solve using unit rates.
Answer: 72
Step-by-step explanation: i multiplied 18 and 4 and that gave me 72
hopefully im not wrong let me know if i am
Answer:
5 and half packet of seeds or 5.5 which is 6 packets
Step-by-step explanation:
12 / 4 = 3
he can plant 3 plants with 1 seed packet
which means he needs 5 packets and half
the answer is 6
The table shows prices that three restaurant chefs paid for the same kind of salmon at the Florida Fish Factory
Price, p
Weight, w
3 Ib.
$ 27.00
5 lb.
$ 45.00
8 lb.
$ 72.00
The equation p= kw, shows the relationship between the price of salmon. p. and the weight of the salmon
What is the value of the constant of proportionality in this situation?
per pound
Answer:
its a
Step-by-step explanation:boo
Answer: it’s $9 per pound
Step-by-step explanation:
im givin away points to anyone even people who just want points just somebody pls answer dis question <3 : Use rounding to estimate the product. Is your estimate an underestimate or an overestimate?
8 × 9.82
Answer:
1.80
2.Overestimate.
Step-by-step explanation:
Answer:
Sorry I'm late
Step-by-step explanation:
What are the coordinates of the ordered pair (1, 3) after reflecting over x-
axis, translating right 3 and down 2? *
Answer:
(-4,1)
Step-by-step explanation:
change the sign of the x value to a negative
(-1,3)
add 3 to the x value since it's horizontal
(-4.3)
subtract 2 from the y value, since it's vertical
(-4,1)
hope this helps.
Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Write a proportion that compares the sales of these two items, and find the cross products. The cross products are both equal to
Given that,
Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
For peanut, the cost is ratio is
[tex]\dfrac{5}{3}[/tex]
For beef, the ratio is
[tex]\dfrac{7}{4.2}[/tex]
If we take cross product of these items,
[tex]\dfrac{5}{3}=\dfrac{7}{4.2}\\\\5\times 4.2=3\times 7\\\\21=21[/tex]
It implies, that the sale is in true proportion. From the cross product, we find that it is equal.
Answer:
21
Step-by-step explanation: