Answer:
k = 3 or k = -4
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]
A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .
Answer:
2x+30
Step-by-step explanation:
A package of 4 pair of insulated socks cost $32.76. What is the unit price of the pair of socks
Answer:
The answer is 8.19, You have to divide 32.76 by 4(Ps. Sorry I'm not good at explaining)
Tywaun wants to know how much candy his container can hold. The
container is 20 centimetres tall, 10 centimetres long and 10 centimetres
wide. What is the container's volume?
Answer:
100 pieces maybe?
Step-by-step explanation:
1. El perímetro de la figura que se muestra es:
a. 10x2+20y+8
b. 19x2+16y+16
c. 19x2+20y+16
d. 19x2+20y+8
Answer:
I think is C 19x2+20y+16
Charlie drove 360 miles in 5 hours.
At the same rate, how many miles would he drive in 8 hours?
Step-by-step explanation:
5 360
8 x
5x=360•8
x=576miles
Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she sold 288 roses and 432 daisies?
Answer:
She will be paid $684
Quick prints makes custom t-shirts. They charge $10 for each t-shirt ordered plus a $5 design fee. Which situation best represents y, the total cost to order x t-shirts?
Answer:
y = 10x+5
Step-by-step explanation:
The price of each T-shirt = $10
Design fee on each T-shirt = $5
We need to find the expression for the total cost. Let the total cost be y. So,
Let he has ordered x T-shirts. So,
y = 10x+5
Hence, this is the required solution.
HELP ME PLASE IM BEGGING YOU
Answer:
5x+4
Step-by-step explanation:
(7x+1)-(2x-3)
Remove parentheses
=7x+1-(2x-3)
=7x+1-2x+3
Simplify
7x+1-2x+3=5x+4
Help! If u get it i will mark brainliest!
Triangle QRS is a right triangle. mR = 34° What is mQ? A. 34°, B. 46°, C. 56° D. 66°
Answer:
c
Step-by-step explanation:
i just did it
A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?
PLEASE HELP IMMIDEATIALY BFHBGDWAHDW
Answer:
zeros and AoS
Step-by-step explanation:
zeros, x = (1 , -7)
AoS:x =-1
GEOMETRY. Need help i will give brainliest
Answer:
x = 10
Step-by-step explanation:
If two tangent segments are drawn to a circle from an external point, then those segments are congruent.
x+11 = 2x+ 1
x = 10
Answer:
x=10
Step-by-step explanation:
x+11=2x+1
x+10=2x
10=2x-x
x=10
Brillianst!!!!!
-6n-2n=16
This isn't urgent
Answer:
n = -2
Step-by-step explanation:
[tex] - 6n - 2n = 16[/tex]
➡️ [tex]( - 6 - 2)n = - 8n[/tex]
➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]
➡️ [tex]n = 16 \div ( - 8)[/tex]
➡️ [tex]n = - 16 \div 8[/tex]
➡️ [tex]n = - 2[/tex]
Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?
Answer: 2/5 feet
Step-by-step explanation:
From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.
The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:
= 8/10 ÷ 2
= 8/10 × 1/2
= 8/20
= 2/5
Therefore, each person gets 2/5 feet of rope.
Solve by graphing
|1x - 1| = |2x - 5|
Answer:
x=4 or x=2
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
28.1 feet
explaination
\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}
cosU=
hypotenuse
adjacent
=
x
9.6
\cos 70=\frac{9.6}{x}
cos70=
x
9.6
x\cos 70=9.6
xcos70=9.6
Cross multiply.
\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}
cos70
xcos70
=
cos70
9.6
Divide each side by cos 70.
x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}
x=
cos70
9.6
=28.0685≈28.1 feet
Type into calculator and roundto the nearest tenth of a foot.
Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)-log7(x)=2?
Answer:
x=4
Step-by-step explanation:
on edge
The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16
What is logarithm?When you raise a number with an exponent, there comes a result.
Lets say you get[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We are given the function as;
log₇(3x²+x)-log₇x=2
Domian: 3x²+x>0
x(3x+1)>0
x∈(-∞,-1/3)U(0,∞)
Hence, x∈(0,∞), Thus x∈(0,∞)
In this problem we use the following formula:
[tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]
Learn more about logarithm here:
https://brainly.com/question/20835449
#SPJ7
Simplify each expression. Show all work from credit.
Plz help me
Answer:
1. = 1 because any numbers to the power 0 is one
2. = 1/64
3.= b^15 base same power added up
As a manager in a flooring store, you respond to a customer’s inquiry regarding available sizes of square tiles. The customer needs square tiles that measure 1.5 feet on each side. Your store sells square tiles with lengths measured in centimeters. What is the side length, in centimeters, of a square tile that measures 1.5 feet on each side, rounded to the nearest hundredth?
Answer:
Step-by-step explanation:
1.5ft(12in/ft)(2.54cm/in)=45.72cm
A store bought a glass measuring cup at a cost of $1.50 and marked it up 150%. Later on, the store marked it down 80%. What was the discount price?
Answer:
45 cents
Step-by-step explanation:
A book is 210 pages long; 140 of the pages have images on them. If Patrick opens the book to a random page, what is the probability that the page will have an image on it?
Answer: as a ratio it’s 140:210 and as a simplified fraction it’s 2/3. But not simplified it’s still 140/210
Step-by-step explanation:
heyy could you help me out with this question I have been stuck in this question??
One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!
Answer:
1.6
Step-by-step explanation:
Given :
X/4 = 2/5
To solve for X ;
We can use cross multiplication ; multiply opposite values :
X * 5 = 2 * 4
5X = 8
To isolate X ;
Divide both sides by 5
5X/5 = 8/5
X = 8/5
X = 1.6
PLEASE HELPPP
Which is a set of collinear points?
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J
Answer:
A g, h, i
Step-by-step explanation
A set of collinear points all lie on the same line
Answer:
sf
Step-by-step explanation:
sf
HELP WILL MARK BARINLIEST IF RIGHT!!!
Step-by-step explanation:
Hence the value of x is 70.14cm.
Apply the Distributive Property to Simplify the Expression
3(36)
Answer:
108
Step-by-step explanation:
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Step-by-step explanation:
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.
Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.
A is incorrect because the size of the shape doesn't change when getting reflected.
B and D is incorrect because just by looking at the shape D is not equal to A' or B'
Hope this helps!!
convert 5000 mm = ____ cm
Answer:
it's 500 cm
HOPE THIS HELPS
Step-by-step explanation:
Answer:
500 cm
Step-by-step explanation:
i did the math
Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
a. 20
b.50
c.30
d.100
Answer:
b) 50
Step-by-step explanation:
750/15 = 50
What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm
Answer:
12
Step-by-step explanation: