We can convert the line 7x + 3y = 15 into the slope-intercept form (y = mx + c) by making y the subject of the equation. In this form the coefficient of x (m) is the slope.
Since 7x + 3y = 15
3y = -7x + 15
y = - ⁷/₃x + 5
∴ the slope is NEGATIVE.
Check your answer:
A line with a negative slope is highest to the left and lowest to the right. This is because when x values increase, the y values decrease, and when x values decrease, y values increase (the two variables are negatively related). If we graph the line this should be true, and it is.
A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.
Which amount is closes to the interest earned on the account at the end of 15 years?
A. $5,174.11
B. $10,174.11
C. $3,637.50
D. $8,637.50
Answer: A
Step-by-step explanation: The student gathers an extra 5,174.11 with the interest.
The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.
The amount close to the interest earned on the account at the end of 15 years is given as,
I = ($5,000 x 4.85 x 15) / 100
I = $3,637.50
The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ6
Maria stated that 5/6 is between 4/5 and 6/7
Answer:
It's true, if that's what your asking.
Step-by-step explanation:
5/6 = 0.833 to 3 sig.fig.
4/5 = 0.800 to 3 sig.fig.
6/7 = 0.857 to 3 sig.fig.
0.833 is more than 0.800 and less than 0.857.
Last year, 3,270 athletes finished a marathon in Lancaster. This year, there were 2,616 athletes finishing. What is the percent of decrease in the number of finishers? %
Answer:
20% decrease
Step-by-step explanation:
2516/3270 = 0.8 or 80%
This means 80% percent of people showed up again from last year
100-80 = 20
So 20% decrease
4.
Michael started a savings account. After 5 weeks, he had $340 dollars and after 9
weeks, he had $580. What is the rate of change of money in his savings account per
week?
Answer:
$60.00 in his savings account per week
Step-by-step explanation:
First, we can convert the information given into points so we can more easily find the rate of change, or slope:
(5, 340) and (9, 580)
Then, we can subtract the y-values and x-values of both, then divide those differences, to find the slope. Remember that the change in y goes on top of the division problem and the change in x goes on the bottom of the division problem:
(580-340)/(9-5) = 240/4 = 60
So, $60 in his savings account per week.
Answer:
he saves 18.45 dollars in each week
find the volume of a cube with the given sides length. 1/5b^3
Answer:
[tex]\sf \dfrac{b^9}{125}[/tex]
Step-by-step explanation:
We need to find out the volume of cube with the given side length . The side of the cube is ,
[tex]\sf\longrightarrow Side =\dfrac{1}{5}b^3[/tex]
Now as we know that the volume of cube is ,
[tex]\sf\longrightarrow Volume = side^3[/tex]
Substitute the given value ,
[tex]\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}[/tex]
what is
-9 x 1/2
in fraction form
Answer:
-9/2
Step-by-step explanation:
-9 is the same as -9/1
if we multiply -9/1 and 1/2 we multiply the numerators to get -9 and multiply denominators to get 2 or -9/2
Acellus
Choose SSS, SAS, or neither to compare
these two triangles.
Help Resources
А
SAS
neither
SSS
Answer:
SSS
Step-by-step explanation:
Which expression(s) are equivalent to -12.48 Show me how to do it pls
-416 x 0.3.
-3 x 41.6.
-4.16 x 3
All of the above
Answer:
C. -4.16 x 3Step-by-step explanation:
Find the values of expressions and compare with -12.48:
-416 * 0.3 = -124.8 ≠ -12.48, No-3 * 41.6 = -124.8 ≠ -12.48, No-4.16 * 3 = - 12.48, Yes#1
-416(0.3)-12.48Yes
#2
-3(41.6)-124.8No
#3
-4.16(3)-12.48Yes
what is the reciprocal of 1 1/4
Answer:
11/4 The reciprocal will be 4/11
8xy + 14x + 4x - 2xy + 6y
I NEED HELP ON IT
Answer:
Welp i dont have your help you need
Step-by-step explanation:
Because i just dont
At a school dance, the ratio of girls to boys is 8:3. If there are 528 students at the dance, how many are boys and how many are girls?
Answer:
144 boys and 384 girls
Step-by-step explanation:
8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.
The polynomial is missing the coefficient of the second and third terms. 1,000x3 + ___x2y + ___xy2 + 1,331y3 If the polynomial is factorable using the binomial theorem, what is the coefficient of x2y?
Answer:
3,300
Step-by-step explanation:
Just took the test in edg
Answer:
3300
Step-by-step explanation:
Did it on Edge.
how much is 40+ 12= and 34=23=34=45=4=
Answer:
52 and 150?
Step-by-step explanation:
40+12=52
34+23+34+45+4
Simplify: 57+34+49
Simplify: 91+49
Add: 140
What is the midpoint of the segment that joins the complex numbers 7 + 3i and -5 – 8i?
A) 16+11/2i
B) (1,5/2)
C) 1- 5/2i
D) (-6, 11/2)
Answer:
C)
Step-by-step explanation:
The midpoint is the average of the two points.
Thus,
Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i
3. A person jogs 1/7 mile in 1/42 hour. What is the person”s speed in miles perhour?
Answer:
42/7 = 6 miles per hour
Step-by-step explanation:
Given,
The total distance covered by the person = [tex]1/7[/tex] a miles,
Time taken by him = [tex]1/42\\[/tex]an hour,
We know that, speed = Distance, time
The speed of the person = [tex]1/7 over 1/42[/tex]
42/7
also known as 6 miles per hour
I hope this helps and have a great day!
english 5 hhhhhhheeeeellllllpppp me
Answer:
A
Step-by-step explanation:
because it makes more sense
How do I find the variables here? ;-;
Answer:
y = 116
w = 116
x = 4
Step-by-step explanation:
a // b and t is transversal.
y + 64 = 180 {co-interior angles are supplementary}
y = 180- 64
y = 116
w = y {Alternate interior angles are equal}
w = 116
4x² = 64 {Alternate interior angles are equal}
x² = 64/4
x² = 16
x² = 4²
x = √(4*4)
x = 4
b] In the opposite figure : XYZL is a square, XZ = 10 cm. , m(L XZY) = 43° Calculate the perimeter of triangle XYZ
Answer:
Perimeter of Δ XYZ = 24.13
Step-by-step explanation:
In Δ XYZ is a right triangle because the XYZL is a square. Therefore the hypotenuse = 10; Looking at the 43° angle, XY is the side that is opposite the 43° angle and the YZ is the side that is adjacent to the 43°.
Using the trig ratios:
XY = opposite/ hypotenuse which is Sin 43°
Sin 43° = XY/ 10
10(Sin 43°) = XY
6.82 = XY
YZ = adjacent/hypotenuse which is Cos 43°
Cos 43° = YZ/10
10(cos 43°) = YZ
7.31 = YZ
Now the Perimeter = XY + YZ + XZ
Perimeter = 6.82 + 7.31 + 10
Perimeter = 24.13
4r – 4s + 4t=-4
4r +5 - 2t = 5
-3r - 3s – 4t=-16
Use elimination or substitution to solve the systems.
(1,-3,-1)
(1,3,1)
(-1,3,1)
Answer:
1,3,1
Step-by-step explanation:
Claire ate dinner at her favorite restaurant. When she received her bill, she wanted to
leave a 15% tip. What is the correct amount for Claire to tip, if the bill was $9.00?
Answer:
$1.35
Step-by-step explanation:
you multiply $9.00 (9) by 15% (.15). Which gives you 1.35.
Please answer correctly nobody ever answers my questions im upset :C
Answer:
The measure of angle S is 60°
Step-by-step explanation:
This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°
May I please receive help?
Answer:
a: x=22
b: c=31 d=61 e=88
Step-by-step explanation:
For "a"
Step 1: (x+9)+(3x-5)+(4x)=180
Step 2: 8x + 4 =180
Step 3: x=22
For "b"
Step 1: (22+9)= 31 for "c"
Step 2: 3x22-5= 61 for "d"
Step 3: 4x22= 88 for "e"
write the equation of the line perpendicular to the given line y - 2 = 1/4 (x+2)
i need to find out what the answer to this math problem is. 7/8 divided by 1/6
find the missing number so that the equation has no solutions ?x-4=4x-11
Answer:1
Step-by-step explanation:I took the test
guys pls help me!!!!!!
x=167⁰ (alternate or z angles)
A cylindrical glass has a radius of 4 centimetres and a height of 6 centimetres. A. large cylindrical jar full of water is a similar shape to the glass. The glass can be filled with water from the jar exactly 216 times. Work out the radius and height of the jar.
Please answer correctly with explanation :-)
Step-by-step explanation:
follow the above attachment.
hope this helps you.
Help find the measure of X
Answer:
x = 3.236
Step-by-step explanation:
HELP MEE I HAVE TO TURN IT IN TOMORROW
a homework assignment included 40 multiple choice questions Sabrina completed 65% of her assignment in David completed 4/5 of his assignment how many more questions did David complete compared to sabrina?
Answer:
6 or -6
Step-by-step explanation:
65% of 40=264/5 of 40=3232-26=6(or if you start with 26)26-32=-6