Step-by-step explanation:
step 1. The first equation 4x - y = 5 has a slope of 4. The 2nd equation simply cannot have the same slope for there to be 1 solution.
step 2. -y = 4x + 5. This has a slope of -4 so "yes" it could work.
step 3. y = 4x - 5. "no".
step 4. 2y = 8x - 10. The slope is 8/2 = 4. "no".
step 5. -2y = 8x - 10. The slope is 8/-2 = -4. "yes".
A line passes through the point (-4,7) and has a slope of 3/2
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=\frac{3}{2}x + 13[/tex]
Step-by-step explanation:
Given that [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = 7 (from the point given) and m = [tex]\frac{3}{2}[/tex], we will use the equation [tex]y - y_{1} =m(x-x_{1})[/tex]. Therefore, when we substitute the given values to the equation:
y - y1 = m(x - x1)
y - 7 = 3/2(x - (-4))
y - 7 = 3/2(x + 4)
y - 7 = 3/2x + 6
y = 3/2x + 6 + 7
y = 3/2x + 13
y=3/2x+13 is the equation of line in slope-intercept form
What is slope intercept form of line?
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that a line passes through the point (-4,7)
The slope of the line is 3/2.
We need to find the equation in slope-intercept form for this line
Let us find the y intercept of line
7=3/2(-4)+b
7=-6+b
13=b
So slope intercept form is y=3/2x+13
Hence, y=3/2x+13 is the equation of line in slope-intercept form
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Find the value of x
x°
66°
117°
Answer:
x = 51 degrees
Step-by-step explanation:
Keep in mind, the angles of a triangle add up to 180 degrees.
A flat line also equals 180 degrees.
First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.
180 - 117 = 63
Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)
63 + 66 + x = 180
Then, you solve for x:
(63+66) + x = 180
129 + x = 180
-129 -129
x = 51
Hope this helps :)
Factor the expression below.
x2 - 81
O A. (X-9)(x - 9)
O B. (x + 27)(x-3)
O C. (x-27)(x - 3)
O D. (x + 9)(x-9)
The area of a rectangular room is 240 square feet. The width is 12 feet. What is the length?
Answer:
20 ft
A=wl
l=A/W=240/12=20ft
2 1/7+1 2/5 Give your answer as a mixed number where appropriate.
Answer:
3 19/35
Step-by-step explanation:
Find the least common denominator of the two.
The LCD is 35.
Now convert the fractions to a denominator of 35.
This will be it>>>
2 5/35 + 1 14/35.
Now the answer to that will be: 3 19/35
please help this is algebra II
Answer:
m=5
Step-by-step explanation:
In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC?
Answer:
The angle measure would be 40°
Step-by-step explanation:
Right angles have a measure of 90. Since DC is 50, 90-50 is 40.
The angle measure of ∠EBC would be 40°.
What is arc?The arc is a portion of the circumference of a circle
Right angles have a measure of 90°.
∵∠BOD=90°
Since ∠DC is 50°,
∠EBC = ∠BOD-∠DC
∠EBC = 90°-50° is 40°.
The angle measure of ∠EBC would be 40°.
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Three friends are comparing their weekly paychecks. Donald discovers that he earned one-third of Michael's paycheque, and $80 less than Jacob's paycheque. Together, the three friends earned $2920 in one week. How much did each friend earn?
Answer: Michael's paycheque = $ 1704
Donald's paycheque = $ 568
Jacob's paycheque = $ 648
Step-by-step explanation:
Let x = Michael's paycheque
Donald's paycheque = [tex]\dfrac13x[/tex]
Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]
Together, the three friends earned $2920 in one week.
[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]
Michael's paycheque = $ 1704
Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]
Jacob's paycheque = $ 568+80 = $ 648
Solve for each of the following situations.
Megan ordered her favorite pizza with 12 slices. Sadly, she could finish only 75% of the whole pizza. How
many pizza slices are left?
Answer:
She left 3 slices
Step-by-step explanation:
to find the number of slides that I have concluded, we will do the following
[tex] \frac{75}{100} \times 12 = 9[/tex]
Then She left
[tex]12 - 9 = 3[/tex]
please help solve this but don't spam ( Transposition method )
Answer:
x = -⁷/9
Step-by-step explanation:
[tex] \frac{9x - 8}{3} = \frac{9x - 3}{2} [/tex]
Multiply both sides by 3
[tex] \frac{9x - 8}{3}*3 = \frac{9x - 3}{2}*3 [/tex]
[tex] 9x - 8 = \frac{3(9x - 3)}{2} [/tex]
Multiply both sides by 2
[tex] 2(9x - 8) = \frac{3(9x - 3)}{2}*2 [/tex]
[tex] 2(9x - 8) = 3(9x - 3) [/tex]
[tex] 18x - 16 = 27x - 9 [/tex]
Subtract 27 from each side
18x - 16 - 27x = 27x - 9 - 27x
-9x - 16 = -9
Add 16 to both sides
-9x - 16 + 16 = -9 + 16
-9x = 7
Divide both sides by -9
-9x/-9 = 7/-9
x = -⁷/9
Which number is equal to 100?
Answer:
10 square2
36 + 64 = 100. In other words, 6² + 8² = 10²
Answer:
C. 10^2
Step-by-step explanation:
When you have an exponent and the base is 10, the exponent is how many zeros there are total that come after the 1. There are 2 zeros after the 1 in 100, so 10^2 is the answer.
simplify the expression
16+(-5)-2/5j-4/5j+6
Answer:
17 - 6j / 5
Step-by-step explanation:
The selling price of an item is $600. It is marked down by 30%, but this sale price is still marked up
from the cost of $350. Find the markup from cost to sale price.
The markup is $ (Round to the nearest dollar as needed.)
Answer:
7000
Step-by-step explanation:
divide 600 and 30 then multiply that answer by 350
Answer:
Correct answer is 70 trust me
Step-by-step explanation:
Vienna bought 8 yards of fabric and paid $38.40. How many more yards can she purchase with $30?
Answer:
vienna can purchase 6 more yards
Calculate the amount of work done if you use a 150N force to push a 50kg box 5m across the kitchen floor.
Answer:
750 J
Step-by-step explanation:
A workman received $110 for working 20 hours. At the same rate of pay, how many hours must he work to earn $187?
Answer:
He must work 34 hours
Step-by-step explanation:
187×20= 3740
3740÷110= 34
If a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A workman received $110 for working 20 hours.
We will apply the unitary method in order to solve the given problem.
For $110 he has to work 20 hours.
$110 = 20 hours
For 1 dollar he has to work,
$1 = 20 / 110
$1 =0.1818 hours
The number of hours must he work to earn $187 will be,
$187 = 187 × 0.1818 hours
$187 = 33.99 hours
Thus, if a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.
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Hiii, I have a little maths problem. So I have this at the photo. I checked and the answer should be -0,0081 . But I don't get why is it with a minus cuz a rule says: if ,,a" is a negative number and the degree is an even number then we should make the final number positive but here it's negative. I don't get why. I'll give brainliest if you can help me!
Answer:
you are correct with -0.0081
Step-by-step explanation:
but if you are multiplying a negative times a positive it is a negative always. So you do a negative times a negative you get a positive. Then you multiply the positive with a negative to get a negative then you do the negative times a negative to get a negative.
Answer:
this is my other account
Step-by-step explanation:
find the value of a and b of a+root5 is (root5+root3)(root5-root3)
Given:
Consider the value of [tex]a+b\sqrt{5}[/tex] is [tex](\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex].
To find:
The values of a and b.
Solution:
According to the given information,
[tex]a+b\sqrt{5}=(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex]
[tex]a+b\sqrt{5}=(\sqrt{5})^2-(\sqrt{3})^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]a+b\sqrt{5}=5-3[/tex]
[tex]a+b\sqrt{5}=2[/tex]
It can be written as
[tex]a+b\sqrt{5}=2+0\sqrt{5}[/tex]
On comparing both sides, we get
[tex]a=2,b=0[/tex]
Therefore, the value of a is 2 and the value of b is equal to 0.
I need help in this sum plss
Answer:
7.11111111112
Step-by-step explanation:
there should be 10 1's
Answer: look at the picture
Step-by-step explanation: hope this help :)
Andy learns in school that plants grow best when they receive an optimal range of water, sunlight, and nutrients. He decides to do an experiment with bean plants to test this idea. Over the course of a month, he is planning on giving five bean plants different amounts of water. His watering schedule is outlined below.
Plant
Amount of Water
Every Week
A
0 mL
B
10 mL
C
100 mL
D
1,000 mL
E
10,000 mL
What will be the most likely result of his experiment?
Question 2 options:
A. Plant A will die, while all of the other plants will flourish.
B. There will be no difference between the plants by the end of the fourth week.
C. Plant A and Plant E will die.
D. Plant E will grow faster than all of the other plants.
Question 3 (1 point)
Answer:
C. Plant A and Plant E will die.
Step-by-step explanation:
A0 mL
B 10 mL
C 100 mL
D 1,000 mL
E 10,000 mL
Plant A will get no water so it will Die
Plant E will be overwatered so it will rot and die
Please help it’s due in 20 mins would it be A B C or D
Answer:
C ) x < 1
Step-by-step explanation:
The open circle on a number line means: less than or greater than. The arrow is pointing to the left, towards the negatives, so x would be less than 1.
A man walks 10 miles in x hours. How far does he walk in one hour?
Which expression represents this?
10 + x miles
10x miles
miles
Answer:
10/x represents how far he walks in one hour
Step-by-step explanation:
Help asap!
a baker Has 88 muffins he fills large boxes that hold 9 muffins each then he puts the leftover muffins in a small box how many muffins are in the small box
Answer:
7
Step-by-step explanation:
9*9=81
81+7=88
Answer:
7
Step-by-step explanation:
88 / 9 = ?
9 x 9 = 81
88 - 81 = 7
7/9
88 / 9 = 9 7/9
9 is in the large box
7 in the small box
I am going to repeat myself ONE LAST TIME. Please help!
What is the domain of the function y = StartRoot x EndRoot?
What is is this graph representing??
A. Linear
B. Exponential
C. Neither
can someone please explain this
Answer:
14 cm²
Step-by-step explanation:
1/2 (7•4)
1/2 (28)
14
Answer:14
Step-by-step explanation:
I believe it is asking you to multiply 4 and 7 getting 28, then divide that by 2 so 14
What is 30% of 42
I’ve given up on my homework please help
30% of 42 is 12.6.
sorry if wrong.
hope it helps.
have a great day.
Answer:
30% of 42 is 12.6.
Step-by-step explanation:
Ok, so first you need to find the value of 1%. To do that, you divide 42 by 100. That gives you 0.42. So, 0.42 = 1%. TO find 30%, multiply the value of 1% by 30. That's 0.42 * 30, which gives you 12.6. Therefore, 30% of 42 is 12.6!
I need help with this question!
Answer:
sorry but don't know this answer
At a car dealership, salespeople earn a 5% commission on the first $10,000 of every sale, plus a 3% commission on any amount over $10,000. A salesperson sold a car for $12,300. What was the total commission on the sale? help me due today
Answer:
The total comission on the sale was $375.
Step-by-step explanation:
Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:
Total comission=(10,000*5%)+(12,500-10000)*(3%)
Total comission=500+(2,500*3%)
Total comission=300+75
Total comission=375
According to this, the answer is that the total comission on the sale was $375.
What is the area of the triangle?
6 square inches
18 square inches
12 square inches
30 square inches
Answer:
answer is 6.
Step-by-step explanation:
the base as 4 in. times the height as 3in. divided by 2= 6in.
