Sophie and Marcos are each saving for new bicycles. So far, Sophie has $7 saved and can earn $4 per hour walking dogs. Marcos has $3 saved and can earn $6 per hour at his family's plant nursery. After how many hours of work will Sophie and Marcos have saved the same amount? What will that amount be? Use the system of equations below to complete the graph.
Answer:
2 hours
Step-by-step explanation:
You can express each person's total earning as the formula for a line. (y=mx+b) Use the amount per hour that can be earned as the slope (m) and the amount already earned as the y intercept (b)
Sophie: y=4x+7
Marcos: y=6x+3
Since y is the total amount of money saved and you know that both people need to earn the same amount of money, we know that y is the same in both equations so we can use substitution to substitute one of the equations in for y in the other equation like this:
4x+7=6x+3
From here, solve algebraically
Subtract 3
4x+4=6x
Subtract 5x
4=2x
Divide by 2
x=2
So they will have the same amount of money after 2 hours.
Which value of x makes the following equation true?
2(x + 10) = x + 23
A.
3
B.
23
C.
13
D.
-7
Answer:
[tex]\Longrightarrow:\boxed{\sf{x=3}}[/tex]
Step-by-step explanation:
Isolate the term of x, from one side of the equation.
2(x+10)=x+23Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
2(x+10)
2*x=2x
2*10=20
2x+20=x+23
First, subtract by 20 from both sides.
2x+20-20=x+23-20
Solve.
Subtract the numbers from left to right.
23-20=3
2x=x+3
Then, you subtract by x from both sides.
2x-x=x+3-x
Solve.
[tex]\Longrightarrow: \boxed{\sf{x=3}}[/tex]
Therefore, the correct answer is x=3.Answer:
x = 3Option A is the correct answer .Step-by-step explanation:
In this question we're given with an equation that is 2(x + 10) = x + 23 and we are asked to find the value of x .
Solution : -
[tex] \longmapsto \: 2(x + 10) = x + 23[/tex]
Step 1 : Solving the parenthesis on left hand side :
[tex]\longmapsto \:2x + 20 = x + 23[/tex]
Step 2 : Subtracting 20 on both sides :
[tex]\longmapsto \:2x + \bold{ \cancel{20}} - \bold{ \cancel{20} }= x + \bold{23 - 20}[/tex]
On further calculations , we get :
[tex]\longmapsto \:2x =x + 3[/tex]
Step 3 : Subtracting x on both sides :
[tex]\longmapsto \:2x - x = \bold{ \cancel{x} }+ 3 - \bold{ \cancel{x}}[/tex]
On further calculations, we get :
[tex]\longmapsto \: \red {\boxed{{x = 3}}}[/tex]
Therefore, value of x is 3 .Now , we're verifying our answer by substituting the value of x in given equation :
2(x + 10) = x + 232 ( 3 + 10 ) = 3 + 232 ( 13 ) = 2626 = 26L.H.S = R.H.SHence, Verified .Therefore, our answer is correct.
#Keep Learning75 ounces 5 pounds which one is greater
Answer:
5 pounds
Step-by-step explanation:
5 pounds is 80 ounces, which is greater then 75 ounces.
Makati and his friends rolled two fair number cubes 500 times and recorded the sum of the numbers shown on the cubes each time. On 42 of the trails sum was 10. Which of these is fair number cubes are rolled
Answer:
1/2 anwser is B
Step-by-step explanation:
rolled 2 fair number 500 times right? okay so the sum is a number of anytotal added up correct?
it was shown on the cubes each time ,so you can assume wit 42+10=52?2=x well then just divide that by 500! wich is 1/2
A relay race covers a distance of 2 1/2 miles. Each runner on the team will run 1/4 mile. How many runners are needed for the team to cover the total distance of the race?
Answer:
6
Step-by-step explanation:
10 runners
explanation:
1/4 x 10 = 2 1/2
Can some one help me please I am not understanding this
Answer:
x = (-7.5,0)
y = (0,5.5)
Step-by-step explanation:
y = the vertical line
x = horizontal line
along the corridor, up the stairs - do the x axis first then the y axis which determines the spot of thenumbers
hope the helps :))
Simplify the expression
Step-by-step explanation:
here
=(81x^12/3x^3)1/3
=(3^4.x^12/3.x^3)1/3
=(3^4-1.x^12-3)1/3
=(3^3×1/3.x^9×1/3)
=3×x^3
If f(x) = 3x + 5 and g(x) = -2x - 5x+3, find (f + g)(x).
O A. (f+ g)(x) = -2x + 8
O B. (f + g)(x) = -4x + 8
OC. (f+ g)(x) = -2x2 + 8x+ 8
OD. (f + g)(x) = -2x2 - 2x + 8
Answer:
D. (f + g)(x) = -2x² - 2x + 8
Step-by-step explanation:
Given:
f(x) = 3x + 5g(x) = -2x² - 5x + 3Find (f + g)(x):
⇒ [tex]f(x) + f(g)[/tex]
⇒ [tex]3x + 5 + ( -2x^{2} - 5x + 3 )[/tex]
⇒ [tex]3x + 5 - 2x^{2} - 5x + 3[/tex]
Combine like terms:
⇒ [tex]-2x^{2} + 3x - 5x + 5 + 3[/tex]
⇒ [tex]-2x^{2} - 2x + 8[/tex]
Answer: D. (f + g)(x) = -2x² - 2x + 8
Please help I will give
BRAINLY
a THANKS
and FIVE STARS
Answer:
day 26
Step-by-step explanation:
just multiply the numbers
Answer:
Complete the following statement.Of the three pools described, Model_______ needs the largest amount of water to be completely filled. B A C. 2. See answers.
2 answers
·
1 vote:
Answer: A Step-by-step explanation: It because of The Width and Depth
Missing: ___ ____ drew net pyramid,
Step-by-step explanation:
Which number of trials will yield an experimental probability that most closely matches the theoretical probability of the event?
A
40
0
20
С
30
D
50
Answer:
D. 50.
Step-by-step explanation:
50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.
what is the easiest way to find length in volume
Answer:
Step-by-step explanationthe easiest way to find the length in volume is by first knowing it's formular wich is L x Wx H= length x width x height
What is the value of y in the solution to this system of equations?
6y + x = negative59
x = negative2y + 9
Answer:
X=-8,Y=-8.5
Step-by-step explanation:
just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.
Evaluate (1/1000)1/3. Express your answer as a fraction in the simplest form.
1/1000 is a fraction and so is 1/3 1/3 is also a power outside of the parenthesis.
Answer:
1/10
Step-by-step explanation:
(1/1000) ^ (1/3) means that you are trying to find ONE of the THREE equal factors of 1 and 1000
1³ = 1
10³ = 10000
so the answer is 1/10
or think of it like ∛ (1/1000) = 1/10
Don’t mind my answers I got them wrong but can you please help? I’ll award brainliest
Answer:
y=mx+b
Step-by-step explanation:
use that formula
how many solutions does −5x+12=−12x−12
If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.
4 feet
5 feet
6 feet
7 feet
Answer:
6 feet
Step-by-step explanation:
took the test and got it right
Answer:
6 feet
Step-by-step explanation:
(c) 6 feet
Can I have help on this?
What is formula for Correlation of Karl's Pearson (Short-cut Mean Method)?
❥[tex] \huge { \mathfrak{\fbox{ \green{Correlation}}}}[/tex]
[tex]r = \frac{Σ(X-X)(Y-Y)}{\sqrt{Σ(X-X)²} \sqrt{(Y-Y)²}}[/tex]
Where, X-mean of X variable
Y - mean of Y variable
3.4k+(0.63−0.81k)÷0.9=5.7
Part I: Converting the terms into fraction form
Given equation:
3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.7First, let's convert the terms (that are in decimals) into fractions.
3.4k = 34k/100.63 = 63/1000.81k = 81k/1000.9 = 9/105.7 = 57/10Replace the fraction forms in the equation:
3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.734k/10 + (63/100 - 81k/100) ÷ 9/10 = 57/10Part II: Simplifying the division being performed
Since the expression in the parenthesis can't be simplified, we can open the parenthesis. Before we do that, we need to divide the expression by 9/10 (as division is third in BODMAS). This can be done by converting the divisor into it's reciprocal and changing the sign to a multiplication sign.
34k/10 + (63/100 - 81k/100) × 10/9 = 57/10Since there is no other division being performed, we can simplify the distributive property (as multiplication is fourth in BODMAS).
34k/10 + [63/100 × 10/9] - [81k/100 × 10/9] = 57/1034k/10 + [7/10] - [9k/10] = 57/1034k/10 + 7/10 - 9k/10 = 57/10Part III: Isolating "k" to determine it's value
Combine like terms as needed:
34k/10 + 7/10 - 9k/10 = 57/10k(34/10 - 9/10) + 7/10 = 57/1025k/10 + 7/10 = 57/10Subtract 7/10 both sides of the equation to isolate "x" and it's coefficient.
25k/10 + 7/10 - 7/10 = 57/10 - 7/1025k/10 = 50/10Cancel the denominators (as a/b = c/b ⇔ a = c)
25k/10 = 50/1025k = 50Divide both sides by 25 to isolate "k"
25k/25 = 50/25k = 2Which of these is a nonlinear function
Answer:
C. y = 3/x + 1
Step-by-step explanation:
A linear function is, well, a line. The line goes on indefinitely without a stopping point.
In one of these functions, there is a line with a stopping point.
The function y = 3/x + 1 has a point that does not have a value, which is 0. 0 cannot be a value in a denominator. All of the other functions can be expressed at all values.
Graphical proof is attached. The function in green has a discontinuity at x = 0 and therefore is not linear.
(24 +2)divide by 2 order operation
Answer:
13
Step-by-step explanation:
(24+2)/2 would be the expression.
PEMDAS so first complete the numbers in the Parantheseis:
(24+2)/2 = 26/2
Since there are no exponents or mulitplication, divide:
26/2 = 13
Hope this helps!
The ratio of red to blue marbles in the bag is 5 to 3. If there are 20 less blue marbles than red, how many blue marbles are in the bag?
Answer:
30
Step-by-step explanation:
red : blue = 5:3
since difference between 5&3 is automatically 2....then just add 0 to 3
The radius of a circular swimming pool is 7.8 meters. Which is closest to the circumference of this swimming pool?
f 48.98 m g 191.04 m h 24.49 m j 47.76 m
Answer:
F. 48.98 m
Step-by-step explanation:
What is circumference?
The circumference of a circle is the distance around the circle, otherwise known as the perimeter.The formula to find the circumference of a circle is 2πr, or if you're given the diameter, πdHow does it apply here?
We are asked to find the closest circumference given of the swimming pool. We are also given the radius of the pool as 7.8 meters.Solving
Step 1: Plug in your values.
[tex]2 * 3.14 * 7.8[/tex]Step 2: Simplify.
[tex](2*3.14)*7.8 = 6.28 * 7.8[/tex] [tex]6.28 *7.8 = 48.984[/tex] 48.984 ≈ 48.98Therefore, the correct answer is F. 48.98 meters.
if x and y are real numbers greater than 1, what is the value of the expression log_x 1 + log_y y?
Answers:
A) 1
B) 0
C) 2
[tex]\log_x (1)+\log_y (y)\\\\=\log_x x^0 + 1\\\\=0\cdot \log_x x +1\\\\=0+1\\\\=1[/tex]
Multiply and simplify. 11 18 × − 4 11
A) − 7 27
B) − 2 9
C) 5 9
D) 11 27
Answer:
B) − 2/9
Explanation:
[tex]\hookrightarrow \sf \dfrac{11}{18} * -\dfrac{4}{11}[/tex]
join both fractions
[tex]\hookrightarrow \sf \dfrac{11*-4}{18*11}[/tex]
simplify by multiplying
[tex]\hookrightarrow \sf \dfrac{-44}{198}[/tex]
simplify the following
[tex]\hookrightarrow \sf -\dfrac{2}{9}[/tex]
[tex]\bold{Heya!}[/tex]
→ Answer :-B) [tex]\sf{-\frac{2}{9}[/tex]→ EXPLANATION :[tex]\sf{\frac{11}{18}(-\frac{4}{11})[/tex]
Apply rule : [tex]\sf{a(-b) = -ab}[/tex]
[tex]\sf{\frac{11}{18}(-\frac{4}{11}) = -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]
[tex]\sf{= -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]
Cross - cancel common factor: [tex]\sf{11}[/tex]
[tex]\sf{= -\frac{4}{18}[/tex]
Factor the number: [tex]\sf{4 = 2}[/tex] × [tex]\sf{2}[/tex]
[tex]\sf{= -\frac{2 \: x \: 2}{18}[/tex]
Factor the number: [tex]\sf{ 18 = 2 \: x \: 9}[/tex]
[tex]\sf{= - \frac{2 \: x \: 2}{2 \: x \: 9}[/tex]
Cancel common factor: [tex]\sf{2}[/tex]
[tex]\sf{-\frac{2}{9}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
What would the monthly payment be for a $5,000 loan with a 6.25% interest rate compounded monthly spread over 60 months? a. $25.31 b. $97.25 c. $217.00 d. $320.95 please select the best answer from the choices provided a b c d
The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.
What is a monthly payment?The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.
The loan amount is $5000 with a rate of 6.25% over 60 months.
Then the monthly payment (MP) will be
[tex]r = \dfrac{0.0625}{12} = 0.0052[/tex]
Then the formula will be
[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]
P = $5000
r = 0.0052
n = 60
Then we have
[tex]\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25[/tex]
More about the monthly payment link is given below.
https://brainly.com/question/14064255
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
I think area will me 24 sq unit
Explanation:
AC=6
BD=8
1/2 × 8 × 6 = 24
11. If mNJ = "
170", mMK = (5x + 8), and mZMLK = (4x + 3)", find mZMLK.
,
M
o
K
Answer:
∠ MLK = 51°
Step-by-step explanation:
the secant- secant angle MLK is half the difference of the measures of the intercepted arcs , that is
∠ MLK = [tex]\frac{1}{2}[/tex] ( NJ - MK ) ← substitute values
4x + 3 = [tex]\frac{1}{2}[/tex] (170 - (5x + 8) ) ← multiply both sides by 2 to clear the fraction
8x + 6 = 170 - 5x - 8
8x + 6 = 162 - 5x ( add 5x to both sides )
13x + 6 = 162 ( subtract 6 from both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Then
∠ MLK = 4x + 3 = 4(12) + 3 = 48 + 3 = 51°
Which function is the inverse of f(x) = 2x+ 3?
[tex]f(x) = y = 2x +3\\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~x= 2y+3 \\\\\implies 2y = x-3\\\\\implies y = \dfrac{x-3}2\\\\\implies f^{-1}(x)= \dfrac{x-3}2[/tex]
A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. to study the impact of adding ingredient p, q, r, s, or t to the recipe, they baked 270 loaves of bread. some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. the freshness of the bread was checked one week later, and the results were used to create the two-way tables below. which tables suggest an association between adding an extra ingredient and the freshness of the bread? select the three correct answers. a 3-column table with 2 rows titled effect of ingredient p on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 11, 4. column 3 is labeled does not stay fresh with entries 39, 16. a 3-column table with 2 rows titled effect of ingredient q on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 9, 4. column 3 is labeled does not stay fresh with entries 41, 16. a 3-column table with 2 rows titled effect of ingredient r on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 16, 4. column 3 is labeled does not stay fresh with entries 34, 16. a 3-column table with 2 rows titled effect of ingredient s on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 4, 4. column 3 is labeled does not stay fresh with entries 46, 16. a 3-column table with 2 rows titled effect of ingredient t on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 34, 4. column 3 is labeled does not stay fresh with entries 16, 16.
Answer:
Tables 3,4 and 5
Step-by-step explanation:
Answer on quizlet.
Answer:
h
Step-by-step explanation: