Answer:
x = -10 ; y = -40
Step-by-step explanation:
Note:
y = 4x.
Plug in 4x for y in the first equation:
x + y = -50
x + (4x) = -50
Solve for x. First, simplify, then isolate the variable, x.
x + 4x = -50
5x = -50
Divide 5 from both sides of the equation.
(5x)/5 = (-50)/5
x = -50/5
x = -10
Plug in -10 for x in one of the equations:
y = 4x
y = 4(-10)
y = -40
x = -10 ; y = -40 is your answer.
~
The line plot shows the part of an hour that Tamika practiced the piano each day last week. How many hours did Tamika practice the piano last week?
A.4 1/2 B.1 1/2 C. 4 D. 3 3/4
Answer:
it is c
Step-by-step explanation:
got it correct on the quiz
Which theorem can be used to show that △JKL ~ △MNP?
In this case the answer would be the last option
because it is shrunk by 2/3 on just the x side
D is the only one who has that first transformation
By a theorem of similarity, it can be shown that △JKL ~ △MNP.
What is the similarity?Similar figures are those figures which are identical in shape, but not necessarily in size.
Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.
Another example is all circles are similar circles.
The ratio of corresponding sides of similar objects is always the same.
Any two triangles will be similar if the ratio of their corresponding side is same.
If △JKL ~ △MNP then their corresponding side ratio will definitely same.
If corresponding side is same order in JKL and MNP then,
JK/KL = MN/NP
Hence "By a theorem of similarity, it can be shown that △JKL ~ △MNP".
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Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8
Answer:
The position at time t is [tex]s(t) = 8t^2 - 14t -8[/tex]
Step-by-step explanation:
From the question we are told that
The acceleration is [tex]a = 16[/tex]
The velocity at t = 0 is [tex]v(0) = -14[/tex]
The position at time t = 0 is [tex]s(0) = -8[/tex]
Generally acceleration is mathematically represented as
[tex]a(t) = \frac{d v}{dt }[/tex]
=> [tex]\frac{dv}{dt} = 16[/tex]
=> [tex]dv = 16 dt[/tex]
integrating both sides we have
[tex]\int\limits dv = \int\limits16 dt[/tex]
=> [tex]v(t) = 16 t + c[/tex]
Now at t = 0
[tex]v(0) = 16 * 0 +c = -14[/tex]
=> [tex]c = -14[/tex]
So
[tex]v(t) = 16 t -14[/tex]
Generally the position of the body is mathematically represented as
[tex]s(t) = \int\limits v(t)dt[/tex]
So
[tex]s(t) = \int\limits 16t - 14 dt[/tex]
So
[tex]s(t) = 16 \frac{t^2}{2} - 14t + C[/tex]
Now at t = 0
[tex]s(0) = 16 \frac{0^2}{2} - 14(0) + C = -8[/tex]
=> [tex]C = -8[/tex]
So
[tex]s(t) = 8t^2 - 14t -8[/tex]
Rate of change of velocity with respect to time is known as acceleration.
Rate of change of displacement with respect to time is known as velocity.
Body position at time t is given by, [tex]s(t)=8t^{2}-14t-8[/tex]
Data given are, a=16, v(0) = -14, s(0) = -8
Since, [tex]\frac{dv}{dt}=a\\\\\frac{dv}{dt}=16\\\\dv=16dt[/tex]
Integrating both side
We get, [tex]v=16t + C[/tex]
Substituting v(0)=-14 in above equation
We get, C = -14
So, [tex]v=16t-14[/tex]
Since, Rate of change of displacement with respect to time is known as velocity.
[tex]v=\frac{ds}{dt}\\\\ds=vdt\\\\ds=(16t-14)dt[/tex]
Taking integration on both side
We get, [tex]s=16\frac{t^{2} }{2}-14t+c[/tex]
Substituting s(0)= - 8 in above equation
We get, [tex]c=-8[/tex]
So, [tex]s=16\frac{t^{2} }{2}-14t-8\\\\s(t)=8t^{2} -14t-8\\[/tex]
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Ava is in charge of bringing bottled water to a party that has 42 guests.
Bottled water is sold in packs of 18 and each pack costs $16.92.
Part A: enter the total number of packs of water Ava will need to bring to the party if each guest is to have 1 bottle of water.
Part B: enter the total cost, in dollars, Ava will spend on bottled water for the party.
Answer:
a - about 3 packs cause you have to round up
b - $50.76
Step-by-step explanation:
First you divide 42 and 18.
42/18=2.33
You have to round up cause you can't have half of a pack, you can't just buy half of a pack.
So, it is rounded to 3 packs.
Next you have to multiply the number of packs and the cost of each pack of water bottles.
16.92*3=$50.76
a - you have to buy 3 packs
b - the total cost is $50.76
A hiker starts at an elevation of 420 yards below sea level descends 1,400 yards and
before ascending for 4,600 yards. What is the elevation at the end of the hike?
Emily sells greeting cards. The graph models the linear relationship between the number of boxes of cards she sells and her profit.
Selling Cards
50
40
Profit (dollars)
30
20
10
0
4 5 6
Number of Boxes
Which of these best describes the profit Emily makes from selling these cards?
$7.50
just took the cfa or test on edguninty
A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.
The amount of profit for selling one box is $7.5.
Option A is the correct answer.
What is a linear relationship on a graph?A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.
We have,
The graph models the linear relationship between the number of boxes of cards sold and its profit.
We see from the graph that when 4 boxes of cards are sold the profit made is $30.
This can be written as:
4 boxes = $30
Divide both sides by 4 we get,
1 box = 30/4
1 box = $7.5
Thus the amount of profit for selling one box is $7.5.
Option A is the correct answer.
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please answer thank you!
Answer:
X= -2
Step-by-step explanation:
Given: 16 = -4(x - 1) + 4
Solution:
Subtract 4 from both sides
12 = -4(x -1)
Divide -4 on both sides
-3 = x - 1
Add -1 on both sides
x = -2
Find the midpoint (1,2)(8,-9)
Answer:
(4,5)
Step-by-step explanation:
I've been stuck on this for about 2 hours but it still doesn't make any sense to me, please helpppppppppp
Two companies report a 15% gain in online sales over the last year. Suppose company Q had 25 online sales and company Z had 150 online sales last year. Do you believe their growth was the same? Justify your answer.
Answer:
Yes, it is possible.
Step-by-step explanation:
It is possible to have same profit rate.
The number of sales may demonstrate that the company Q with 25 online sales is smaller than the company Z with 150 online sales.
Or the company Q may have higher profit rate on individual sales than company Z.
3n-n+7=25
Please help me quickly!
Answer:
n = 9
Step-by-step explanation:
3n-n+7=25
2n +7 = 25
2n = 18
n = 9
I hope this helps!
-TheBusinessMan
Step-by-step explanation:
3n-n=25-7
2n=18
n=18/2
n=9
Lisa sold 6 more than 3 times as many cookies as Mike and then sold 3 more at the end of the sale. Barry sold 9 more than three times as many cookies as Mike. How many cookies did Mike sell ?
there is not enough information its an identity statement
7 out of 10 doctors If there are 4200 doctors that prefer Cough-Up brand syrup, how many total doctors are there? * A)6000 B)2940 C)14000 D)1260
Maya has 120 cupcakes to sell. Each cupcake is covered with one topping. 1/5 of the cupcakes are covered with peanuts. 40 are covered with chocolate chips and the rest are covered with sprinkles. How many cupcakes are covered with sprinkles?
Answer:
24 covered with peanuts
40 covered with choc chips
56 covered with sprinkles
What is the polynomial function of least degree whose only zeros are -4,2, and 3?
Answer:
never heard about it
Step-by-step explanation:
if a negative 10 became a positive 10 how many 100 centimeters are there in 4,057 squared feet?
25 tens=
______hundreds 5 tens
Answer:
2 hundreds.
Step-by-step explanation:
25 tens is equal to 250.
25 x 10 = 250
5 tens = 50, 5 x 10
250 - 50 = 200
200 = 2, hundreds.
Answer:
2 hundreds
Step-by-step explanation:
Find the mean of 35,42,41,32,30
Answer:
The mean is 36
Step-by-step explanation:
The mean of these numbers is 36.
Find the distance between -6 and 10
Answer:
16
Step-by-step explanation:
Answer:
16 units
Step-by-step explanation:
Consider the absolute value of the difference of the points
| - 6 - 10 | = | - 16 | = 16 , or
| 10 - (- 6) | = | 10 + 6 | = | 16 | = 16
Solve: x/3+1/4 =1/3 . Explain your work.
Steps to solve:
x/3 + 1/4 = 1/3
~Subtract 1/4 to both sides
x/3 = 1/12
~Multiply 3 to both sides
x = 1/4
Best of Luck!
In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle E?
Help me solve thiss
Answer:
Angle E = 70°
Step-by-step explanation:
Given parallelogram RELA, where m<R = 110°, to find m<E, recall the properties of a parallelogram.
Angle R and angle E are consecutive angles in parallelogram RELA.
One of the properties of a parallelogram states that any 2 consecutive angles in a parallelogram are supplementary. That is, they add up to 180°.
Therefore:
m<R + m<E = 180°
110° + m<E = 180°
Subtract 110° from both sides
m<E = 180° - 110° = 70°
Need help ASAP!!!!!!!!!!!!
Answer:
[tex]-\frac{7}{2} x+12[/tex]
Step-by-step explanation:
if you need step by step explanation i will upload.
I don't have time to calculate I have to go somewhere. HELP ASAP! What is x+300=500
Answer:
x=200
Step-by-step explanation:
x+300=500move the constant to the rightx=500-300x=200Answer:
[tex]x=200[/tex]
Step-by-step explanation:
[tex]x+300=500[/tex]
There is an easy way to solve this.
Let's do
[tex]500-300[/tex]
Since [tex]500-300[/tex] is equal to 200, then x would be 200.
[tex]x=200[/tex]
Hope this helps!
The sum of a number and six is eleven. Find the number.
Answer:
17
Step-by-step explanation:
6 + 11 = 17
Sum (addition of 2 numbers)
Since the sum of a number and six is eleven, the number is equal to 5.
Let the unknown number be n.To find the unknown number:
In this exercise, you're required to determine an unknown number by translating the word sentence into an algebraic equation.
Translating the word sentence into an algebraic expression, we have;
The sum of a number and six is eleven:
[tex]n + 6 =11[/tex]
Next, we would rearrange the equation by collecting like terms:
[tex]n = 11-6[/tex]
n = 5
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Right to explain how this digit 6 changes value in number 666, 666, 666
Answer:
devil!!!!!!!!!!!!!!!!
Step-by-step explanation:
Write each statement as a decimal to two decimal places.
$6.00 to 95 cents =
Answer:
$6.00 to 95 cents = $6.95
Step-by-step explanation:
In currency the dollar is a whole number while the cent is a fraction of the dollar.
For the cent, every 100 cent is a dollar.
Converting the cent to dollar
100 cent = $1k
K= 100/1
95 cent = 100/1 x
95/100= x
0.95$= x
$6.00 to 95 cents = $(6+0.95)
$6.00 to 95 cents = $6.95
Jessie made 3 shots out of 4 tries, how many shots will she make if she tries 12 shots (use a proportion
Answer:
10 out of 12 which is [tex]\frac{5}{6}[/tex] when simplified
Answer:
9:12
Step-by-step explanation:
3:4 is the ratio of her shots to tries
x:12 is the ratio we want to find, so you can turn these into fractions: 3/4 to x/12
to find x you figure out what you multiply 4 by to get to 12, which is 3, so you multiply 3 by 3 and you get 9
so the answer is 9:12
PLEASE HELP!! WILL GIVE BRAINLIEST ANSWER TO THE FIRST PERSON
Answer:
See below.
Step-by-step explanation:
So, from the figure, we can see that US is the combined length of UT and TS. In other words:
[tex]UT+TS=US[/tex]
We are given their equations. Substitute them:
[tex](x-3)+(12)=(3x-11)[/tex]
And this is our answer to 4.
Now, solve for x. Add on the left:
[tex]x+9=3x-11[/tex]
Subtract -3x from both sides:
[tex]-2x+9=-11[/tex]
Subtract 9 from both sides:
[tex]-2x=-20[/tex]
Divide both sides by -2:
[tex]x=10[/tex]
So, for 5, the answer is 10.
And we're done!
Select the graph that shows the correct sum.
Answer:B
Step-by-step explanation:
E202 just did :)
Answer:
b
Step-by-step explanation:
edg 2020
Fill in the next number in the list.
5. 6. 11. 17. 28. 45
5. 6. 11. 17. 28. 45 . 73
Here,5 &6 are given,
Then,
5+6=11
6+11=17
11+17=28
17+28=45
So,
28+45=73
Answer:
73
Step-by-step explanation:
We are adding the two numbers before
5+6 = 11
6+11 = 17
11+17 = 28
17+28 = 45
28+45 =73