Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
Answer:
1. (1,1) (2,6) (3, 11)
2. Yes
Step-by-step explanation:
1. 5(1)-4 = 5-4 = 1
5(2)-4 = 10-4 = 6
5(3)-4 = 15-4 = 11
(I just chose 3 simple x values and plugged them into the equation to get the y values then wrote it as an ordered pair)
2. 5(-5)-4 = -25-4 = -29
-29 = -29
(Same as number 1 but I used the given x value then I checked if the y value I got matched the ordered pair)
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Answer:
a. 311 hours
b. i. $3,100 in receipts
ii. $2,799 in expenses.
Step-by-step explanation:
a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:
= 10 - 9
= $1 per hour
Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:
= 311 / 1
= 311 hours
b. In 311 hours, the total receipts would be:
= 311 * 10
= $3,110
The expenses would be:
= 311 * 9
= $2,799
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Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?
please help me . weak in here
9514 1404 393
Answer:
x = 10√3
Step-by-step explanation:
The Pythagorean theorem tells you ...
FB^2 = BC^2 +CF^2
FA^2 = FB^2 +BA^2
Substituting for FB^2, we have ...
FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2
FA^2 = 3x^2
FA = x√3 = 30 . . . . take the square root and substitute for FA
x = 30/√3
x = 10√3
James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.
Please help!!!
Answer:
a = -2, b = -3, c = 2
Step-by-step explanation:
We have the following three equations.
ab = 6
ac = -4
bc = -6
Multiply equation 2 and 3, we get
abc^2=24
Dividing it by the first equation, we get
c^2=4
c=2 or -2 (rejected since c is a positive integer)
We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.
Help please! I’m bad at math
Answer:
The answer should be 40
Step-by-step explanation:
85+55=140
180-140=40
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Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )
Answer:
9 years ( approximately)
Step-by-step explanation:
900(1.03)^t = 1200
(1.03)^t= 1.33
( 1.03)^t= ( 1.03)^9
So, t= 9
Carlota’s smartphone contains 500 megabytes of data. She uses 300 megabytes for applications and the rest for music. If each song takes an average of 4 megabytes, which equations can be used to find the number of songs on Carlota’s smartphone? Select all that apply. A. 500−300=4n B. 500+300=4n C. 4n+300=500 D. 300−4n=500
Answer: A:500-300=4n and C:4n+300=500
Step-by-step explanation:
Which word best describes a parallelogram with diagonals that are congruent and perpendicular?
A. rectangle
B. rhombus
C. square
D. trapezoid
A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?
Answer:
45495
Step-by-step explanation:
Answer:
10077
Step-by-step explanation:
A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P
t
=P
0
⋅2
d
t
, where P_tP
t
is the population after t hours, P_0P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?
P_0=5400
P
0
=5400
The initial population
t=9
t=9
Time elapsed
d=10
d=10
The doubling time
P_t = P_0\cdot 2^{\frac{t}{d}}
P
t
=P
0
⋅2
d
t
P_t=5400\cdot 2^\frac{9}{10}
P
t
=5400⋅2
10
9
Plug in
P_t=10076.7563\approx10077
P
t
=10076.7563≈10077
Use parenthesis in the calculator for the exponent
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Step-by-step explanation:
Store a must offer 30%
please help will give brainliest
Answer:
C
Step-by-step explanation:
AE = 14.6 I think. If I'm wrong, use whatever number it is.
Sin(x) = 5/14.6
Sin(x) = 0.3425
x = Sin-1 (0.3425)
x =20.03
Now the other larger triangle has an acute angle of 90 -20.03 = 69.97
===================
Cos(69.97) = 13.1/DE
DE = 13.1/cos(69.97)
DE = 38.25
Which is an irrational number
Answer:
D
Step-by-step explanation:
Because pi never ends.
Hence, D (π) is a irrational number.
Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3, 20).
Answer:
Step-by-step explanation:
It's a simple question as we know:
y-y1=m(x-x1)
y-20=12(x-3)
y=12x-36+20
y=12x-16
Now, your line is in slope intercept form you can compare it with
y=mx+c
m=12 and c=16. You can also put your point to verify your answer.
Mary has a \large 16\frac{1}{2} ounce bag of chocolate chips. She will only use \large \frac{1}{4} of the bag for decorating a cake. How many ounces will she use for decorating
Answer:
4 1/8 ounces
Step-by-step explanation:
Total bag of chocolate chips Mary has = 16 1/2 ounces
She will only use 1/4 of the bag for decorating a cake.
How many ounces will she use for decorating
Ounces used in decoration = 1/4 of 16 1/2
= 1/4 × 33/2
= (1*33)/(4*2)
= 33/8
= 4 1/8 ounces of chocolate chips
She will use 4 1/8 ounces of chocolate chips for decorating a cake
A cyclist travels 18 km from home to the park.
She leaves home at 16:00 and arrives at the park at 16:45.
What is her average speed in km/h?
Answer: 24 km/h
Step-by-step explanation:
She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h
Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?
Answer:
65 parlingsStep-by-step explanation:
Use ratios:
7.5 mots / 37.5 parlings = 13 mots / x parlingsx = 13*37.5/7.5x = 65Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3
c=27+10h where c= cost in dollars and h= number of hours rented
Answer:
that help
Step-by-step explanation:
10h+27+−27=c+−27
10h=c−27
10h10=c−2710
h=110c+−2710
Answer:
h=110c+−2710
Please help!!
How do I rewrite this expression into radical form??
JEJEISHEVEHSUEHRH PLEASE ✋✋✋✋
If the measure of two sides of the triangle are 3 feet's and 7 feet's, which is the least possible whole number measure for the third side
Answer:
5 feet
Step-by-step explanation:
By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.
Let x feet be the length of the third side.
We have 3+x>7, x+7>3 and 3+7>x.
Solving these, we get x > 4, x > -4 and x < 10.
The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.
Therefore the answer is 5 feet.
The container that holds the water for the football team is 1/4 full. After pouring in 10 gallons of water, it is 2/3 full. How many gallons can the container hold?
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
From the question we are told that
Amount of water 1/4x
Gallons added 10
Amount of water after addition 2/3x
Where x is a full container
Generally the parameters above gives the equation
[tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]
Therefore
[tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]
[tex]-\frac{5}{12}x =-10[/tex]
[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]
[tex]x =24[/tex]
Therefore the container can hold 24 gallons of water
What would the temperature be on a hot day?
A.35°C
B.32
C.10°C
D.0°F
Answer:
A. 35°C.
Step-by-step explanation:
35 C (Celsius), converted to F (Fahrenheit), would be 95. Which would make it a hot day.
So, you answer is 35°c.
I need help and for the other select it’s are or are not
Answer:
Step-by-step explanation:
It's clear from the graph that the angles of the given triangles are different.
And for similarity of two triangles, at least two angles of the triangles should be congruent.
Therefore, both the triangles are not similar.
The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.
I NEED HELP PLEASE !!!!!
Answer:
The distance between points A and B is 3 units
Step-by-step explanation:
We need to find distance between points on the number line.
The points given are:
A = -1 , B = 2
The formula used is: [tex]Distance = |b-a|[/tex]
Putting values of a and b and finding answer:
[tex]Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3[/tex]
So, The distance between points A and B is 3 units
Help pls ill mark brainliest
Answer:
<XWY= 180-23
Step-by-step explanation:
angles on a straight line add up to 180!
hope it helps! please mark me brainliest
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What is 2 times 2? It would be really helpful.
Answer:
2*2=4
Step-by-step explanation:
Add (-12x+6)+(4x-12)
Answer:
-8x - 6
Step-by-step explanation:
Combine like terms: combining -12x + 4x results in -8x, and combining 6 and -12 results in -6. Thus, we have
(-12x+6)+(4x-12) = -8x - 6
Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded
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please help me out