Answer:
The slope is [tex] - \frac{9}{8} [/tex].
Step-by-step explanation:
[tex]m = slope[/tex]
Remember: [tex]m = \frac{y_2 - y_1 }{x_2 - x_1} [/tex]
☆All you have to do is plug in.
[tex]m = \frac{2 - 11}{9 - 1} = \frac{ - 9}{ \: \: 8} = - \frac{9}{8} [/tex]
While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?
Answer:
$25
Step-by-step explanation:
Given that:
Cost of Ashley's dinner in Bloomington = $20
Sales tax = 10%
Tip = 15% on $20
To find:
Total cost of the meal ?
Solution:
Let us find the sales tax first of all.
Sales tax is 10% of the total bill.
Therefore, sales tax = 10% of $20
[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]
Tip left is 15% of the total bill.
Therefore, tip = 15% of $20
[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]
Now, total cost of the meal = Food cost + Sales tax + tip
Total cost of the meal = $20 + $2 + $3 = $25
Genesis has 2/3 of her birthday cake left and she wants to share it between 3 of her friends. How much of the original cake will each friend receive? Kaycee says 6/9 Tari says 2/9 Janiyah says 3/9 Who is correct?
Answer:
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
Step-by-step explanation:
You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.
To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.
[tex]\frac{2}{3}[/tex] ÷3
To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.
In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.
In this case:
[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
Write an integer (positive or negative whole number) to represent each description.
Integer Vocabulary
The football player had a 5-
yard loss on the play.
17 units to the left of -6 on a number
line.
Answer:
Football player= -5
Number line= -23
Step-by-step explanation:
Loss means negative
Left on a number line is subtraction
Write the equation of a line with a slope of 3 that passes through (-3,2).
Answer:
y = 3x + 11
Step-by-step explanation:
Substitute the information into the point-slope form equation.
Point-slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - (-3))
y - 2 = 3(x + 3)
y - 2 = 3x + 9
y = 3x + 11
What is the total price of 2.6 pounds of pears at 90 cent per pound?
Answer:
It would be $2.34
Step-by-step explanation:
2.6x90=234 but in this case it is money so add a decimal
What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS
Answer: 3
Step-by-step explanation:
*Slope formula*
Y2 - Y1 / X2 - X1
-1 - (5) / -2 - (0) = -6/-2 = 3
What is the solution for 3x =9
x = 3
Divide each term by 3 and simplify.
A.it is a function
B.it is not a function
Gracelyn has 3 more children than Ella has. Gracelyn has 9 children.
How any children does Ella have?
Pick an equation and then solve
a3-x=9
b9x=3
c3/x=9 (fraction)
dx+9=3
ex-3=9
f3x=9
gx+3=9
h.x/3=9 (fraction)
A line passes through the points (-8, 7) and (-11,-11). Find the value of a such 1 point
that the point (-7,a) lies on the line. a=
Your answer
Answer:
a=12
Step-by-step explanation:
we need the slope of this line. Find it with the slope formula
m= y2-y1 / x2-x1 with the points given p1=(-8,7) and p2=(-11,-11)
m=-11-7 / -11-(-8) (x1,y1) (x2,y2)
m= -18 /-11+8
m= -18 / - 3
m= 6
next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]
y-7=6(x-(-8)) ( simplify this towards the slope intercept form [y=mx+b]
y-6=6(x+8)
y-6=6x+48
y=6x+54
now we can plug in our point of (-7,a) to find what a is
a=6(-7)+54
a=-42+54
a=12
:)
Help with the whole thing please and thanks
1a. closest to 1
b. closest to 0
2a. closest to 1
b. closest to 1/2
Numb 3. Ain't clear.
4. Not sure.
5a. closer to 1
b.closer to 1/2
c. 3/4 - 5/12 = 1/3
6. 26/15
7. 7/18
8. 47/240
9. 191/225
10. 11/60
11. 81/200
What is a formula for the nth term of the given sequence? 48, 72, 108
Answer:
[tex]a_n=48*1.5^{n-1}[/tex]
Step-by-step explanation:
Geometric Sequence
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:
[tex]r=\frac{72}{48}=1.5[/tex]
To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:
[tex]a_n=a_1*r^{n-1}[/tex]
Where a1=48 and r=1.5
[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]
For example, to find the 5th term:
[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]
12x 5 =(4x 2 )(C)12, x, start superscript, 5, end superscript, equals, left parenthesis, 4, x, squared, right parenthesis, left parenthesis, C, right parenthesis C=
Answer:
3x³
Step-by-step explanation:
Given the expression
12x^5 =(4x^2 )(C)
We are to find the value of C
Rewriting the equation will give;
(4×3)x²•x³ = 4x²C
4x²•3x³ = 4x²C
Divide both sides by 4x²
4x²•3x³/4x² = 4x²C/4x²
3x³= C
Hence the function C is 3x³
whats the area of 8ft, 6ft and 2ft?
Answer:
96
Step-by-step explanation:
8x6=48
48x2=96
There were 45 runners to start a race. In the first half of the race 2/3 of them dropped out. In the second half 2/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
18 racers finished.
Step-by-step explanation:
In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)
what is 9741 divided by 45
Answer:
216.466666667
Step-by-step explanation:
Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!
Answer: did you ever get the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
?
(-4a^3b^2?)^2 •(3a²b)
Answer:
48a^7 b^5 (I hope I got this right, it has been awhile since I've done equations like these)
Step-by-step explanation:
(-4a^3 b^2)^2 × (3a^2 b)
16a^5 b^4 × 3a^2 b
48a^7 b^5
Which equation best represents the line on
the graph?
3
y
B.
-
A. y--3-4
y
-x-4
C. y ---4
D. y-r+4
Answer:
B. y=3/2x - 4
Step-by-step explanation:
As you see in the graph the y intercept was lying on -4 and you rise 3 time and run 2 time to get to your next point.
Which number is equivalent to?
44 mi/h ≈ _______________ yd/min
The graph shows the number of miles you and a friend run each week while training for a race.
Answer: 4 miles
Step-by-step explanation:
Please help me ^^ This is due tomorrow
n=1,064÷28
anyone knows the answer \
Answer:
n=38
Step-by-step explanation:
2 + 2 = ______________________________________________
Answer:4
Step-by-step
Select the expression equivalent to 4(x - 7) + 8. A 4x - 47 + 8 B 4(x - 15) С 4x - 7 + 8 D 4x - 28 + 8
Step-by-step explanation:
4(x - 7) + 8
= (4)(x) + (4)(-7) + 8
= 4x - 28 + 8. (D)
182632929236+188274739393974473
Answer:
the answer id
188274922026903709
Answer:
Exact Form: 188274922026903709
Decimal Form: 1.88274922*10^17
Step-by-step explanation:
Please help down below
Answer:
The answer is B
Hope this helps
Answer:
The first answer
Explanation:
Ok I added an explanation lol-
So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)
C doesn't even make sense 6-6
And D isn't 5 2/5 it's 7 2/5
What is 6/-1 expressed as an integer?
Answer:
-6
Step-by-step explanation:
help please i have an f!!
Answer:
1x=3y
-9x=-2y
Step-by-step explanation:
6x=-4y
17x=-2y
4y
17x=-2y