Answer:
7.5+7.t
and
(5+t).7
are equivalent to 7(t+5)
Option D and E are equivalent to 7(t + 5) That is :
(5 + t) • 7 and 5(t + 7)
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given equation is :
7(t + 5)
7(t+5) multiply 7 with inside the parenthesis
7(t+5) = 7t + 7x5
this result is equivalent to option D and E which will give the same result.
Therefore, Option D and E are equivalent to 7(t + 5).
Read more about expressions at :
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If Clare takes out a mortgage for 22 years at an interest rate of 3% and her monthly repayments are $984, what is the principal loan amount?
Using simple interest, it is found that the principal loan amount was of $156,491.6.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.In this problem, she paid $984 monthly for 22 years, hence:
[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]
Interest rate of 3%, hence [tex]r = 0.03[/tex]
Then:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]259776 = A(0)[1 + 0.03(22)][/tex]
[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]
[tex]A(0) = 156491.6[/tex]
The principal loan amount was of $156,491.6.
A similar problem is given at https://brainly.com/question/13176347
of the three lines in the graph one has slope m = 1 one has slope m = 2, and one has slope m = 1/5.
Put the lines in order from greatest to least slope.
Answer:
1/5 1 2
Step-by-step explanation:
find the slope and y intercept of y = -2x -18
Answer:
Slope = -2
y-intercept = -18
Step-by-step explanation:
In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.
Hope this helps you :)
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
a.-46x+23=46x+23
b.46x-23=46x+23
c.46x+23=46x+23
d.-46x-23=46x+23
What is the net pay for these details?
$764 gross pay
Federal withholding $128
FICA $41.87
State $45.15
Health $19.25
A. $529.73
B. $568.23
C. $658.53
D. $703.77
Answer:
Its a
Step-by-step explanation:
geomtry plzzz help 15 points
Answer:
19
Step-by-step explanation:
they give you xz, and they want half, so just divide 38 by 2
find the sum of 6/12+1/2
Answer:
1
Step-by-step explanation:
[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]
Rachel's income for July is $3300. She spent $1000 for rent, $150 on student loans, $100 for a new
tablet, and $450 on groceries. How much of her monthly income is left?
Answer: 1300
Step-by-step explanation:
3300-1000=2000
2000-450=1550
1550-150=1400
1400-100=1300
Write the following complex number in rectangular form. 6(cos π/ 4+ isin π/ 4)
6(cos π/ 4 + i sin π/ 4) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form a+bi. Rationalize all denominators.)
[tex]\stackrel{\textit{complex form}}{\stackrel{\stackrel{r}{\downarrow }}{6}\left[ \cos\left( \frac{\pi }{4} \right) +i\sin\stackrel{\stackrel{\theta }{\downarrow }}{\left( \frac{\pi }{4} \right)} \right]}\implies 6\left[ \frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2} \right]\implies \cfrac{6\sqrt{2}}{2}+i\cfrac{6\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{rectangular form}}{\stackrel{\stackrel{a}{\downarrow }}{3\sqrt{2}}+\stackrel{\stackrel{b}{\downarrow }}{3\sqrt{2}}i}~\hfill[/tex]
Peter Morris wants to verify the amount
deposited to his savings account. His new balance is $729.49,
his previous balance was $680.50, interest earned on his
account was $3.25, and withdrawals totaled $222.06. Find the
amount deposited to his savings account.
Answer:324.24??? Not sure just a guess.
Step-by-step explanation:
Find the solution set of the inequality
14−3x<−1.
If right will mark Brainlyest!
Answer:
x > 5
Step-by-step explanation:
14 -14 - 3 x < -1 -14
-3 x < -15
-3 x / -3 < -15 / -3
x > 5
If sin A =P then the value of tan thita + sec thita is
i guess you have copied the wrong question.. it should be somewhat like if tan theta + sec theta = p then find tge value of sin theta...
secθ+tanθ=P
⇒(secθ+tanθ)² = P²
⇒sec² θ+tan² θ+2tanθsecθ=P²
⇒2tan²θ + 1 + 2 sinθ/cos θ = P²
⇒2 sin²θ+ cos²θ+ 2 sinθ total by cos²θ = P²
Applying componendo and dividendo
=> 2sin²θ+ cos²θ+ 2sinθ- cos²θ/ 2sin²θ+ cos²θ+ 2sinθ- cos²θ = p²-1 / p²+1
⇒2sinθ(sinθ+1)/ 2(sinθ+1) = p²-1 / p²+1
=> sinθ = p²-1/ p²+1
Use the slope formula to determine the slope of the line containing the two points. Type your answer as an integer or reduced fraction in improper form if necessary.
Answer:
The slope is:
[tex] \binom{1}{2} [/tex]
In slope-intercept form the equation is:
[tex]y = \binom{1}{2} x - 3[/tex]
Alyssa is baking a cake the recipe calls for 8 cups of flour she already put in 2 cups how many more cups does she need to add
The student government snack shop sold 64 snacks this week. 8 of the snacks sold were fruit cups. What percentage of all snacks sold were fruit cups?
Rewrite the equation as a division equation.
Answer:
8/64 = 0.125 = 12.5%
Step-by-step explanation:
8/64 = 0.125 = 12.5%
Given that angle a = 54° and angle b = 48°, work out 3.
a
b
х
The diagram is not drawn accurately.
х
9514 1404 393
Answer:
x = 78°
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°.
x + a + b = 180°
x = 180° -a -b . . . . . . . . add -a-b to both sides
x = 180° -54° -48°
x = 78°
45 cows can graze a field in 13 days. How many cows will graze the same field in 9 days
Answer:
65 cows
Step-by-step explanation:
Inverse rule of three
[tex]45-------13\\x -------- 9[/tex]
[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]
Hope this helps
Solve each of the following equations. Show its solution set on a number line. Check your answers. 2|2-x|=-5
Answer:
Use the distributive property to multiply 2 by x−1.
l2x-2I=11
2x-2=-11
Add 2 to both sides of the equation.
2x=-9
Divide both sides by 2.
x=13/2
That's the final answer
Hope u have a great day!!
26/111
Three teams, A, B and C, play in a competition.
games won by A: games won by B = 3:1
games won by B: games won by C = 4:3
Team B has won 8 games.
In total, how many games have the three teams won?
38
To get the number of games C won,you multiply the ratio of B:C,4:3 to ratio of known 8:x to get 6 as the games C won.For A,you multiply the ratio of A:B,3:1 to value of known y:8 to get 24 as the games A won.Add 8+6+24 to get total number of games won.
100 raspberries weigh 40 grams. if there is a proportional relationship between raspberries and weight, how many raspberries does it take to weigh 100 grams
Answer:
250 raspberries
Step-by-step explanation:
So if 100 raspberries weigh 40 grams, each raspberry weighs 40/100 grams, which is 4/10 of a gram. so, you need to do 100/ 4/10=250
i need help with #5
Answer:
<1 = 50
<2 = 130
Step-by-step explanation:
<1 and 130 are supplementary angles
<1 + 130 = 180
<1 =180-130
<1 = 50
130 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel
<2 = 130
Step-by-step explanation:
Well first we can say measure angle 2 equals 130° because they are S.s.int.ext angles, (same side interior angles and exterior). Or also corresponding
Now with measure angle 1, it is a supplementary angle
Let 1 stand for measure angle 1
[tex]130 + m1 = 180[/tex]
Subtract 130° from both sides
[tex]m1 = 50[/tex]
Have a good day :)!9. A cheetah is located 100 yards away from an antelope. The cheetah begins running on a straight path toward the antelope at a constant speed of 30 yards per second. At the same time, the antelope begins running away from the cheetah at a constant speed of 25 yards per second. If both animals continue to run on a straight path at the same speeds, how long will it take for the cheetah to catch up to the antelope?
It takes 20 seconds for the cheetah to catch up to the antelope
Speed is the ratio of distance to time taken. It is given by:
Speed = distance / time
Let d represent the distance covered by the cheetah at time t, hence:
30 = d / t
t = d / 30
The antelope is 100 yards away, hence:
25 = (d - 100) / t
t = (d - 100)/25
d/30 = (d - 100)/25
25d = 30d - 3000
d = 600 yards
t = d/30 = 600/30 = 20 seconds
It takes 20 seconds for the cheetah to catch up to the antelope
Find out more at: https://brainly.com/question/22610586
i need a lot of help from the smartest people now right now
Answer:
K) I, II, and III
Step-by-step explanation:
Given the quadratic equation in standard form, h = -at² + bt + c, where h is the height or the projectile of a baseball that changes over time, t. In the given quadratic equation, c represents the constant term. Altering the constant term, c, affects the h-intercept, the maximum value of h, and the t-intercept of the quadratic equation.
I. The h-interceptThe h-intercept is the value of the height, h, when t = 0. This means that setting t = 0 will leave you with the value of the constant term. In other words:
Set t = 0:
h = -at² + bt + c
h = -a(0)² + b(0) + c
h = -a(0) + 0 + c
h = 0 + c
h = c
Therefore, the value of the h-intercept is the value of c.
Hence, altering the value of c will also change the value of the h-intercept.
II. The maximum value of hThe maximum value of h occurs at the vertex, (t, h ). Changing the value of c affects the equation, especially the maximum value of h. To find the value of the t-coordinate of the vertex, use the following formula:
t = -b/2a
The value of the t-coordinate will then be substituted into the equation to find its corresponding h-coordinate. Thus, changing the value of c affects the corresponding h-coordinate of the vertex because you'll have to add the constant term into the rest of the terms within the equation. Therefore, altering the value of c affects the maximum value of h.
III. The t-interceptThe t-intercept is the point on the graph where it crosses the t-axis, and is also the value of t when h = 0. The t-intercept is the zero or the solution to the given equation. To find the t-intercept, set h = 0, and solve for the value of t. Solving for the value of t includes the addition of the constant term, c, with the rest of the terms in the equation. Therefore, altering the value of c also affects the t-intercept.
Therefore, the correct answer is Option K: I, II, and III.
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.07 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answer:
93.684
Step-by-step explanation:
They just give a 5% bonus to the price of the lunch
Which graph represents the solution set of 3x - 4y <-8
Answer:
xd
Step-by-step explanation:
3X+4y=8
this is the graph that represents the solution
(3.71 + (-5.25))(4+(-9)
Answer:
You need a calculator to solve, but here: 7.7
Step-by-step explanation:
u missed a few paranthesis. I solved this instead: (3.71 + (-5.25))(4+(-9))
first subtract 3.71 by 5.25 to get -1.54 then subtract 4 by 9 to get -5. Then you multiply them to get 7.7.
24+3m>6
Plot this on a number line and show steps please
[tex]\\ \tt\rightarrowtail 24+3m>6[/tex]
[tex]\\ \tt\rightarrowtail 3m>6-24[/tex]
[tex]\\ \tt\rightarrowtail 3m>-18[/tex]
[tex]\\ \tt\rightarrowtail m>-6[/tex]
Refer to attachment
60. Write the equation of a line through the point (-2,6) with a slope -5.
Answer:
y = - 5x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5 , then
y = - 5x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = - 5x - 4 ← equation of line
- Alto and Sheryl both worked hard over the summer. Together they earned a total of $475. Sheryl earned $25 more than Alto. (a) Write a system of equations for the situation. Use s for the amount Sheryl earned and a for the amount Alto earned. a (b) Graph the equations of the system on the graph provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it's perfectly okay to upload multiple files. (c) Use Elimination or Substitution to solve the system. (d) Use your graph to estimate how much each person earned, check your work with part C, and explain your results in complete sentences. Answer:
pls hurry its due tomorrow
Answer:
s = 250
a = 225
Step-by-step explanation:
Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have [tex]a+s=475[/tex]
Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: [tex]s=a+25[/tex]
By graphing, we can let s = y and a = x, so we have the following equations:
[tex]x + y=475\\y=x+25[/tex]
Plugging this into Desmos, we have this: (look at screenshot uploaded)
We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.
Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: [tex]a + (a + 25) = 475[/tex]. Combining like terms, we have [tex]2a+25=475[/tex], and [tex]2a = 450[/tex]. Dividing, we have [tex]a = 225[/tex], and since s is 25 more than 225, we have [tex]s = 250[/tex]
The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.
3. How many 1/8's are in 1 1/4?
Answer:
10
Step-by-step explanation:
There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.
