Answer:
34
Step-by-step explanation:
We can solve this equation by giving Sara's number a variable.
Let it be x.
Then we solve by simply interpreting the problem step by step.
"If you subtract 14 from my number..."
x - 14
"...and multiply the different by -4..."
-4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation, we can solve for x.
1.) Use distributive property to expand.
-4x + 56 = -80
2.) Subtract 56 from both sides
-4x = -136
3.) Divide by -4
x = 34
Sara's number is 34
Using distributive property to expand, it is found that Sara's number is; 34
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
We need to solve this equation by giving Sara's number a variable.
Let the Sara's number a variable be x.
Then we solve by simply interpreting "If you subtract 14 from my number..." means
x - 14
Then "...and multiply the different by -4..." means -4(x-14)
"...the result is -80"
-4(x-14) = -80
Now that we have our equation,
1.) Use distributive property to expand;
-4x + 56 = -80
Subtract 56 from both sides;
-4x = -136
Now Divide by -4
x = 34
Hence, Sara's number is; 34
Learn more about distributive property here;
https://brainly.com/question/5637942
#SPJ2
Can I get help with this
Answer:
Step-by-step explanation:
3(a^2 + a - 6)
3(a + 3)(a - 2)
answer is D
I am doing math homework and need some assistance solving, 2(2t+4)=3/4(24-8t)
Answer:
They are equal
Step-by-step explanation:
If you do 2 plus 4 in the parentheses then that equals 6 and 6t time 2 is 12t because the t doesnt have a value therefore it sticks onto the answer and if you convert the 3/4 into .75 then you can subtract the 24 by 8t and get 16 then when you multiply the 16 by 3/4 it will take .75 off of 16 and the answer is the same therefore they are equal equations.
GEOMETRY HELP!!
19. What is the coordinate of the midpoint of the segment formed by the two points you found in Exercises 17 and 18?
Please explain
Answer:
0
Step-by-step explanation:
To find the coordinate of the midpoint of segment QB, first, find the distance from Q to B.
QB = |4 - 8| = |-4| = 4
The coordinate of the midpoint of QB would be at ½ the distance of QB (½*4 = 2).
Therefore, coordinate of the midpoint of QB = the coordinate of Q + 2 = 4 + 2 = 6
OR
Coordinate of B - 2 = 8 - 2 = 6
Coordinate of the midpoint of QB = 6
Coordinate of W = -8
Coordinate of A = 0
distance from W to A (WA) = |-8 - 0| = |-8| = 8
The coordinate of the midpoint of WA would be at ½ the distance of WA = ½*8 = 4.
Therefore, coordinate of the midpoint of WA = the coordinate of W + 4 = -8 + 4 = -4
Or
Coordinate of A - 4 = 0 - 4 = -4
Coordinate of the midpoint of WA = -4
Now, let's find the midpoint between the two new coordinates we have found, which are -4 and 4
Distance of the segment formed by coordinate -4 and 4 = |-4 - 4| = |-8| = 8
Midpoint = ½*8 = 4
Coordinate of the midpoint = -4 + 4 = 0
Or
4 - 4 = 0
I NEED HELP ASAP!!!
you pay 9.70 for 2.5 pounds of roasted peanuts. You buy 1.4 pounds of almonds for 8.55 per pound.
How much less do roasted peanuts cost per pound than almonds?
How much more do you spend on almonds than on roasted peanuts.
$9.70 / 2.5lbs = $3.88 / pound of roasted peanuts.
$8.55 * 1.4lbs = $11.97 / 1.4 pounds of almonds
$8.55 - $3.88 = $4.67.
Roasted peanuts cost $4.67 less per pound than almonds.
$11.97 - $9.70 = $2.27
You spend $2.27 more on almonds than you do roasted peanuts.
3x(x+30°) i really need help asap
A13x2+390x here is the answer
Answer:
x=15
Step-by-step explanation:
Simplifying
x + 30 = 3x
Reorder the terms:
30 + x = 3x
Solving
30 + x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
30 + x + -3x = 3x + -3x
Combine like terms: x + -3x = -2x
30 + -2x = 3x + -3x
Combine like terms: 3x + -3x = 0
30 + -2x = 0
Add '-30' to each side of the equation.
30 + -30 + -2x = 0 + -30
Combine like terms: 30 + -30 = 0
0 + -2x = 0 + -30
-2x = 0 + -30
Combine like terms: 0 + -30 = -30
-2x = -30
Divide each side by '-2'.
x = 15
Simplifying
x = 15
A gymnasium is 40 m long. Starting at one end lines are taped every 5 yd across the floor.
How many lines are taped across the floor?
Answer:
8 lines
Step-by-step explanation:
5 yards = 4.572 meters
40 m /4.572 = 8.7489063867
8 lines
For questions 1 - 6, solve each quadratic equation.
1. (x + 5)(x - 2) = 0
2. (3x - 1)(2x + 5) = 0
3. x^2-3x -4 = 0
4.2x^2 -5x - 3 = 0
5. x^2 - 16 = 0
6.9x^2 - 25 = 0
Answer:
1. -5
2. 1/3 (1 third)
3. -3
4. -1\2 (negative one and a half)
5.-4
6. 1.66666
Step-by-step explanation:
1. Let's solve your equation step-by-step. ( x + 5 ) ( x − 2 ) = 0 Step 1: Simplify both sides of the equation. x 2 + 3 x − 10 = 0 Step 2: Factor left side of equation. ( x − 2 ) ( x + 5 ) = 0 Step 3: Set factors equal to 0. x − 2 = 0 or x + 5 = 0 x = 2 or x = − 5. <—— this is for the first explanation
2. Step 1: Simplify both sides of the equation. 6 x 2 + 13 x − 5 = 0 Step 2: Factor left side of equation. ( 3 x − 1 ) ( 2 x + 5 ) = 0 Step 3: Set factors equal to 0. 3 x − 1 = 0 or 2 x + 5 = 0 x = 1 3 or x = − 5 2 Answer: x = 1 3 or x = − 5 2
<———— this is for the second explanation
3.Step 1: Factor left side of equation. ( x + 1 ) ( x − 4 ) = 0 Step 2: Set factors equal to 0. x + 1 = 0 or x − 4 = 0 x = − 1 or x
<———- this is for the third explanation
4.Step 1: Factor left side of equation. ( 2 x + 1 ) ( x − 3 ) = 0 Step 2: Set factors equal to 0. 2 x + 1 = 0 or x − 3 = 0 x = − 1 2 or x = 3
<—————- this is for the fourth explanation
5. Step 1: Add 16 to both sides. x 2 − 16 + 16 = 0 + 16 x 2 = 16 Step 2: Take square root. x = ± 16 x = 4 or x = − 4
<—————- this is for the fith explanation
6. Step 1: Add 25 to both sides. 9 x 2 − 25 + 25 = 0 + 25 9 x 2 = 25 Step 2: Divide both sides by 9. 9 x 2 9 = 25 9 x 2 = 25 9 Step 3: Take square root. x = ± 25 9 x = 1.666667 , − 1.666667
<—————- this is for the sixth explanation
Hope this helps :)
What’s the formula for motion?
One week, Caroline earned $183.20 at her job when she worked for 8 hours. If she is paid the same hourly wage, how much would she make the next week if she worked 13 hours?
Answer:
$297.70
Step-by-step explanation:
First, find her hourly wage:
183.20/8
= 22.9
Then, multiply this by 13:
22.9(13)
= 297.7
So, she will make $297.70 next week
Answer:
297.70
Step-by-step explanation:
Read the pdf named "Brain"
A) The sum of 5 and 2 times p is at least 11.
5 + 2p is at least 11.
Subtract 5 from both sides.
2p is at least 11.
p > 5
25 more than 8 times a number is the same as 50 less than the product of -5 and the number.
Answer:
-5x-50=8x+25 solve that
13x= -75
-5.769
Step-by-step explanation:
You really enjoy cooking and are planning on having friends over for dinner. You want to calculate how long it will take you to cook. You know you will need 10 minutes of prep time no matter how many guests come to dinner, and you will need 8 additional minutes per guest.
Answer:
Unfortunately I can't answer without more proper information
Step-by-step explanation:
Answer:
10 minutes no matter what
Step-by-step explanation:
it says "you want to calculate how long it will take you to cook. You know you will need 10 minutes of prep time no matter how many guests come to dinner, and you will need 8 additional minutes per guest.
Meaning it is going to sty at 10 no matter what
help‼️✌⛓✌
also please try to answer as soon as possible
Answer:
do this then this then that and your done :D
Step-by-step explanation:
hope this helps :))
how do i solve −3(x+5)<−21
Answer:
x>2
Step-by-step explanation:
-3x-15< -21
-3x< -21+15
-3x< -6
x>2
Answer:
answer is x > 2
Step-by-step explanation:
Interval Notation:
( 2 , ∞ )
f - 18 > 92
I need help fast
Answer:
F>110
Step-by-step explanation:
The product (x + 3y)(3x – y) =
Answer: 3x²-3y²+8xy
Step-by-step explanation:
When you multiply two factors, you want to use the FOIL method.
First
Outer
Inner
Last
(x+3y)(3x-y) [distribute by FOIL]
3x²-xy+9xy-3y² [combine like terms]
3x²+8xy-3y² [rewrite]
3x²-3y²+8xy
Now, we know the product is 3x²-3y²+8xy.
The speed of a car traveling on a straight road increases from 63 m/s to 75
m/s in 4.2 seconds. What was the car's acceleration? m/s2 = meters per
second squared
Initial velocity = 63m/s
Final velocity = 75m/s
Time taken = 4.2
We have to find acceleration of car[tex].[/tex]
_________________________________
◈ Acceleration is defined as the rate of change of speed.
a = (v - u) / tIt is a vector quantity having both magnitude as well as direction.
SI unit : m/s²
⇒ a = (v - u) / t
⇒ a = (75 - 63) / 4.2
⇒ a = 12/4.2
⇒ a = 2.85 m/s²The speed of a car traveling on a straight road increases from 63 m/s to 75 m/s in 4.2 seconds. What was the car's acceleration?
Answer:[tex] \rm\red {Given:} [/tex]
u ( initial velocity ) = 63m/sv ( final velocity ) = 75m/st ( time taken ) = 4.2s[tex] \rm\red {To \: find:} [/tex]
a ( acceleration ) =?[tex] \rm\red {Calculation:} [/tex]
We know that,
[tex] {\huge {\boxed {\tt { a = \dfrac{v-u} {t}}}}} [/tex]
Substituting values-
[tex] \sf { \qquad \leadsto a = \dfrac{75-63}{4.2}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{12}{4.2}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{\cancel {12} {} ^{\: \: 6} \times 10}{\cancel {42} {} ^{\: \: 21} }} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{\cancel6 {} ^{\: \: \: 2}\times 10 }{\cancel {21} {} ^{\: \: 7}}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{2 \times 10}{7}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{20}{7} = 2.85} [/tex]
[tex] \therefore [/tex] Acceleration of the car was [tex] \sf { 2.8m/{s} ^{2}} [/tex]
_________________________________how do I simplify 3⁶ x 3⁵
Answer:
[tex]3^{11}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] thus
[tex]3^{6}[/tex] × [tex]3^{5}[/tex] = [tex]3^{(6+5)}[/tex] = [tex]3^{11}[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {3}^{11} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {3}^{6} \times {3}^{5} }[/tex]
Add the indices and take the same base
[tex] \dashrightarrow{ \sf{ {3}^{6 + 5} }}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ {3}^{11} }}}[/tex]
Hope I helped!
Best regards! :D
pt=3x9 and tq=5x-7 because i have no idea what it is
Answer:
i have the same question on my worksheet
Step-by-step explanation: its super hard need help too
Find all the zeros of the quadratic function.
y=x²-11x+18
Sara is 7 years older than Sushil. June is 4 years younger than Sushil. If the total of their ages is 87, how old is the eldest of them?
Answer:
76
Step-by-step explanation:
Answer:
We have:
a) Sushi+7=Sara
b) June=Suhi-4
c) Sushi+Sara+June=87
3 equations with 3 variables, we can solve it.
we can introduce in a) and b) in c) and we get: Sushi+Sushi+7+ Sushi-4=87
3 sushi+3=87 which gives:
3 sushi= 87-3=84
sushi=84/3=28
Sara= sushi+7 (from b)= 35
June= sushi-4=24
We can check 24+35+28=87 All good
Step-by-step explanation:
tyrone walked 8 miles in a walkathon at a speed of 2 mph how long was he walking
Answer:
4 hours
Step-by-step explanation:
Distance / Velocity = Time
In this case, 8 / 2 = 4
A candy factory has 2 machines that make pieces of candy. Machine A makes 984 pieces of candy
every 6 hours. Machine B makes 1,296 pieces of candy every 8 hours.
Which statement best compares the machines?
Machine B makes candy faster than machine A because machine B made more candy.
Machine A makes candy faster than machine B because machine A took less time.
Machine B makes candy faster than machine A because machine B made more pieces of
candy per hour.
Machine A makes candy faster than machine B because machine A made more pieces of
candy per hour.
Divide.
-6 7/8 divide by (-3 3/4)
Enter your answer as a mixed number, in simplified form, in the box.
Basic
Solve for x:
X – 6 = 5x – 2
20 points + Brainlist if you answer this question please!
15?
Step-by-step explanation:
what is the probability that jenny rolls a double 1
Answer:
1/36
Step-by-step explanation:
Assuming that there are 2 dice
There are 36 possible outcomes ( 6*6)
There is only one way to get 2 ones
P ( 1,1) = positive outcomes / total
=1/36
Is this statement true or false?
4 [3(5 + 2)] = 95 – 4.3
true
false
Answer:
The answer is false it’s supposed to be 84
Step-by-step explanation:
Jenna's retirement party will cost $9 if she invites 3 guests. If there are 5 guests, how much will Jenna's retirement party cost? Assume the relationship is directly proportional.
Answer:
$15
Step-by-step explanation:
3 guest = $9 (9/3 = 3 so each guest is $3)
so
5 guest = $15 (3 x 5 = 15)
Please help me understand
How to go from a percent to a decimal and please put an explanation and example. If you do not know the answer then don’t respond. I really need to understand this! Please
Example :When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.
- Find the coordinates of A if B(0,5.5) is the midpoint of AC and C has coordinates
(-3,6).
Given:
Coordinates of point C are (-3,6).
Point B(0,5.5) is the midpoint of AC.
To find:
The coordinates of A.
Solution:
Let the coordinates of point A are (a,b).
Formula for midpoint:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the above formula, the midpoint of A(a,b) and C(-3,6) is
[tex]B=\left(\dfrac{a+(-3)}{2},\dfrac{b+6}{2}\right)[/tex]
[tex](0,5.5)=\left(\dfrac{a-3}{2},\dfrac{b+6}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{a-3}{2}=0[/tex]
[tex]a-3=0[/tex]
[tex]a=3[/tex]
and,
[tex]\dfrac{b+6}{2}=5.5[/tex]
[tex]b+6=11[/tex]
[tex]b=11-6[/tex]
[tex]b=5[/tex]
Therefore, the coordinates of point A are (3,5).