[tex]x = \frac{12}{5}[/tex] or the x-intercept coordinates, [tex](\frac{12}{5},0)\\[/tex].
[tex]y = -6[/tex] or the y-intercept coordinates, [tex](0,-4)[/tex].
Solution:Simplifying the equation into standard form:
[tex]4y = 10x - 24 \\ 4y - 10x = - 24[/tex]
Finding the x-intercept by evaluating (x,0):
[tex]4(0) - 10x = - 24 \\ - 10x = - 24 \\ x = \frac{ - 24}{ - 10} \\ x = \frac{12}{5} [/tex]
Finding the y-intercept by evaluating (0,y):
[tex]4y - 10(0) = - 24 \\ 4y = - 24 \\ y = \frac{ - 24}{4} \\ y = - 6[/tex]
Trent is simplifying the expression 47 × 13. He claims he can solve the problem by multiplying 47 × 10 and adding it to the product of 47 × 3. Select the answer that best explains whether or not his strategy is correct. Trent is incorrect, because one group of 13 is not the same as one group of 10 and one group of 3. Trent is incorrect, because he would need to add the 3 to 47 before multiplying it by 10. Trent is incorrect, because he must first round 47 to a number that is easier to multiply. Trent is correct, because one group of 13 is the same as one group of 10 and one group of 3.
Answer:
Trent is correct because one group of 13 is the same as one group of 10 and one group of 3.
Step-by-step explanation:
47 x 10 = 470
47 x 3 = 141
470 + 141 = 611
47 x 13 = 611
If a = 4 and b = 3 what is the value of 3a - [tex]b^{2}[/tex]
Give a possible length and width for the rectangle. Give a length and width that cannot be used for the rectangle.
Which is a composite number 29,21,37,43
Answer:
Step-by-step explanation:
6426 divided by 1800
Elijah wants to fence in a rectangular play area in his backyard for his new puppies. He wants the length of
the play area to be 4 feet longer than its width. He also intends for the total perimeter to be 48 feet. Write
and solve an equation to find the dimensions of the play area.
[tex]48 \div 4 = 12[/tex]
[tex]12 - 4 = 8[/tex]
[tex]12 \times 2 = 24[/tex]
[tex]8 \times 2 = 16[/tex]
[tex]24 + 16 = 40[/tex]
A fraction is never a rational number true or false
Answer:
every fraction is a rational number but a rational number need not be a fraction
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-9,7), (6,2)
Answer:
Point-slope form: [tex]y-2=-\frac{1}{3} (x-6)[/tex]
Slope-intercept form: [tex]y=-\frac{1}{3}x+4[/tex]
Step-by-step explanation:
So, first, we need point-slope form.
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex]
In this form, m is your slope and [tex]x_1, y_1[/tex] is your point.
We have two points, so let's find the slope.
Slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
The y_2 and y_1 points can be interchanged, but order can't be changed (a y_2 can't go with an x_2).
For this problem, (-9,7) is going to be the x_2, y_2 pair.
[tex]x_2[/tex] = -9
[tex]y_2[/tex] = 7
[tex]x_1[/tex] = 6
[tex]y_1[/tex] = 2
Let's put the values into the formula.
[tex]\frac{7-2}{-9-6}[/tex] = [tex]\frac{5}{-15}[/tex] = [tex]-\frac{1}{3}[/tex]
The slope is 1/3. Going back to point-slope form, let's put the slope in.
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-y_1=-\frac{1}{3} (x-x_1)[/tex]
Now, lets put our x_1, y_1 point in.
[tex]y-2=-\frac{1}{3} (x-6)[/tex]
This is our point-slope form.
Now, to convert this to slope-intercept form, multiply everything out.
[tex]y-2=-\frac{1}{3}x+2[/tex]
Add two.
[tex]y=-\frac{1}{3}x+4[/tex]
This is our slope-intercept form.
Hope this helped!
Which ratio is equivalent to 5:9?
10:36
10:27
20:27
20:36
Answer:
20:36
Step-by-step explanation:
to simplify a fraction you must divide both top and bottom by the same number and 20:36/ 4 equals 5:9
Answer:
20:36
Step-by-step explanation:
Edg 2020
2.378 in expanded form
Answer:
2+0.3+0.07+0.008
Step-by-step explanation:
..........
in 10 years,Kamdyn will be 3 times as old as she is now.Which equation could be used to determine Kamdyns current age,k
Answer:
k+10=3k
Step-by-step explanation:
17. You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $10 from your paycheck
The equation b = 75+ (10 + 8)w gives the amount b in your account after w weeks. How many weeks from now will you
have $195 in your bank account?
weeks.
There will be $195 in the account after
(Type a whole number.)
Answer:
60 weeks
Step-by-step explanation:
195 = 75 + (10 + 8)w
195 - 75 = (10 + 8)w
120 = (10 + 8)w
120 = (2)w
120 ÷ 2 = w
60 = w
Adult tickets for a concert were $5 each and student tickets
were $2 each. A total of 980 tickets, worth $3460, were sold.
How many adult tickets were sold?
Answer:
500 adult tickets
Step-by-step explanation:
Let adult and student tickets be x and y.
The number equation is
x + y = 980
The value equation is
5x + 2y = 3460
Let's multiply the first by two and subtract it from the second...
5x + 2y = 3460
-(2x + 2y = 1960)
and we get
3x = 1500
x = 500 adult tickets
y = 480 student tickets
6g -13 + 7h - 8g + 17
Identify the terms , like terms , coefficients, and constant terms.
Answer:
the like terms are -13, 17,-8g, and 6g. the terms are all, coefficents are -8 ang 6. constants are 7h
Step-by-step explanation:
math calculate yes math gonna drop out C:
ACK
Answer:
C
Step-by-step explanation:
What value of c makes the equation true? Assume x>0 and Y> 0
cy4
ay (29
O c = 12
O c = 16
O c = 64
O c = 81
Answer:
Its C = 63
Step-by-step explanation
I GUESSED AND GOT IT RIGHT
Which equation can be used to find the distance between X(–6, 5) and Y(4, –3)?
Answer:
The distance formula
Step-by-step explanation:
Solve for x. x+2/3=−1/6
Answer:-
x=-5/2
Step-by-step explanation:
x+2/3=-1/6
after cross-mutiplying,
6(x+2)=-3
6x+12=-3
6x=-3-12
6x=-15
x=-15/6
x=-5/2
hope this helps u!!
Hello! :)
To solve your equation, we will first simplify both sides of the equation
x + 2/3 = -1/6
Now, we will subtract 2/3 from both sides
x + 2/3 - 2/3 = -1/6 - 2/3
x = -5/6
Hope this helped you!
THEDIPER
(x + 2) is raised to the fifth power. The third term of the expansion is:
C(5,3)x^3 2^2
C(5,3)x2 2^3
C(5,2)x^3 2^2
Answer:
3
Step-by-step explanation:
Determine the value of y, if x is 4.
y= | x - 7 |
Answer: y = 3
Step-by-step explanation:
Evan, Hope, Misha, and Cole put their names into a basket. If a name is selected without looking, what is the probability that the name will be Cole?
Answer:
1:4
Step-by-step explanation:
marissa is 8 years older than lance. next year, lance will be 3 times lances age. how old is lance?
Answer:
The answer would be 3
Step-by-step explanation:
This is because, hope this makes sense, Shes 8 years older and the answer choices were: 3, 4, 11 and 12, well 3+8=11 and it says next year she will be 3 times his age, still being 8 years older, next year lance will be 4 and whats 3 years times 4, twelve. And whats 8 years older than four 12. Hope this makes sense but it has to be 3.
Add 5.46 +21.3 +0.02. What number is in the hundredths place in the sum? A.1 B.2 C.7 D.8
Answer:
the answer is D. 8. Hope this helps!
Step-by-step explanation:
Answer:
7 is in the hundredths place
Step-by-step explanation:
5.46
21.3
0.02
=7.6.1
9. Which of the following is an example of the Commutative Property of Addition? (1 point)
12+ 4 = 4 +12
12 + (3 + 2) = (12 + 3) + 2
2 +7 + 0 = 2 + 7
17 + (-17) = 0
Answer:
12+4=4+12
2+7+0=2+7
17+(-17)=0
Step-by-step explanation:
first one is clear
second one is a associative property
third onw can be because 2+7+0 is 14 and 2+7 is also 14
17 +(-17) is 0 and the other side it is zero
If three music CDs cost $34.99, what is the cost of 8 CDs? State the answer and write a proportion that could be used to solve the problem. Round the answer to the nearest cent.
Answer:
$280
Step-by-step explanation:
you first multiple $34.99×8 and you get $279.92
the second step is 2 round to the nearest cent
the answer would be $280
Eric pays the mechanic $80
per hour plus $350
for parts to get his car fixed at the car repair shop. His bill is $1,110
If h
represents hours of work, write an equation that could be used to find the number of hours the mechanic worked on Eric's car.
Answer:
80h+350=1100
Step-by-step explanation:
he pays the mechanic $80 per hour therefore 80h and pays $350 for the parts in total he spends $1100. If the equation is solved it will be
9 hours. (the answer came out to be 9.375 exactly)
the perimeter of a geometric figure is the sum of its sides. if the perimeter of the following pentagon is 42 meters, find the length of each side
Answer: 2.5 divided by 2 equals 1.25 so each side equals 1.25
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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can someone plz help ASAP this is confusing
Answer:
third option
Step-by-step explanation:
four times a number: 4n
add 8 to it: 4n + 8
All of this equals to -12.
Hence: 4n + 8 = -12
Answer:
4n + 8 = -12
Step-by-step explanation:
eight more means "+ 8". That is 8 more than a number. so that is "n + 8". the number is multiplied by 4 which means "4n + 8". That all is equal to -12 which means "4n + 8 = -12"
please help me on this least to greatest
how do you perform a glide reflection by translating ABC left 10, down 11, then reflect across the x-axis. also give coordinates for the first image A' B' C' and A'' B'' C''
What are the coordinates of each point for ABC?
