The senior class of Oakdale Christian School traveled 630 miles in one day on their trip to the Grand Canyon. After lunch, they traveled twice as far as they did before lunch. How many miles did they travel after lunch?
Answer:
420 miles after lunch
Step-by-step explanation:
Day 1 is 630 miles travelled - total amount of travelling.
After lunch is twice the amount of m.
Twice means 2.
So,
2xm + m (they'd have travelled) = 630 total miles
(2xm = 2m & 1m is the same as m)
2m + 1m = 630
3m = 630
÷3
m = 210 miles
Initial miles travelled before lunch was 210.
After lunch is double that amount.
Thus, 210 x 2 = 420 miles
Check:
210 + 420 = 630 miles.
Hope this helps!
Will give brainliest
Use the distributive property to simplify
the equation below.
7(x - y + 3) = [? ]x -
[ ]y
+
Answer:
7x - 7y + 21Step-by-step explanation:
7(x - y + 3)
=> 7 × x - 7 × y + 7 × 3
=> 7x - 7y + 21
Answer:
\(7(x - y + 3) = 7x - 7y + 21 \\ thank \: you\)
Which equation represents the graph?
a graph of a line that passes through the points 0 comma negative 3 and 5 comma negative 1
y equals negative two fifths times x plus 8
y equals negative five halves times x plus 8
y equals negative five halves times x minus 3
y equals two fifths times x minus 3
The equation that represents the given graph is: D. y = 2/5x - 3.
How to Write the Equation of a Linear Graph?The slope-intercept form of the equation of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the equation of a line that passes through two points (x1, y1) and (x2, y2), we can use the following steps:
Find the slope (m) using the formula m = (y2 - y1) / (x2 - x1).Plug in the slope and one of the points into the equation y = mx + b to find b.So, for the line that passes through the points (0, -3) and (5, -1), the slope is (-1 - (-3)) / (5 - 0) = 2/5, and the y-intercept can be found by plugging in the slope and the point (0, -3) into the equation y = mx + b:
-3 = (2/5) * 0 + b
-3 = b
Therefore, the equation of the line that passes through (0, -3) and (5, -1) is:
y = (2/5)x - 3
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I was doing math then I got this question wrong.
Why is C not on the y-axis, and why is b on y-axis.
The options that correctly show the points of the given graph are;
Option 4: A is on the y-axis
Option 5; D is on the x-axis
How to interpret the axis of a graph?Usually in mathematical equation graphs, the y-axis represents the range of the function which is a set of all possible output values for given input values . Whereas, the domain is usually represented on the x-axis and it shows the set of all possible input values of the function.
Now, from the given graph, we see the following;
A is on the y-axis
B is at the origin
C is at the point (1, 2)
D is on the x-axis
Looking at the options, we can tell that options 4 and 5 are correct representations of the given graph because they correctly denote the points on the x-axis and y-axis.
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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The sum of two numbers is 9 If one number is 3 subtracted from the other, the result is Find the numbers.
Answer:
one number = 3 ; other number = 6
(x = 3 ; y = 6)
Step-by-step explanation:
here is the written problem in an algebraic form:
(x is one number, y is the other number)
x = y - 3 {"if one number is 3 subtracted from the other..."}
x + y = 9 {"The sum of two numbers is 9"}
substitute [x = y-3] into [x + y =9]
x + y = 9 ; {x = y - 3}
(y - 3) + y = 9 [substitute known x-value into equation]
y - 3 + y = 9
+ 3 + 3 [add 3 to isolate y]
2y = 12
÷2 ÷2 [divide by 2 to find y]
y = 6
Now, by plugging our y-value (6) into one of the equations:
x + y = 9
x + 6 = 9 [substitute the y-value, which we know is 6]
-6 -6
x = 3
so, one number is 3, and the other number is 6
Write an equation for each line (L,P,N,M)
do you have it on edg???
An observer at Point A makes measurements that show that the peak of Mount Wayne lies in a direction of 50º from Point A, with an angle of elevation of 18º. The peak of Mount Rolly lies in a direction of 340º from Point A, with an angle of elevation of 23º. The peak of Mount Maggie lies in a direction of 190º from Point A, at an angle of elevation of 13º. The distance to the peak of Mount Wayne is 2980 m. The distance to the peak of Mount Rolly is 3450 m. The distance to the peak of Mount Maggie is 5130 m.
Based on the angles and distances to the peaks, the horizontal distance from point A to each mountain peak is:
Mount Wayne = 2,834.15mMount Maggie = 4,998.52 mMount Rolly = 3,375.75 mWhat is the distance from point A to the peak of Mount Wayne?This can be found as:
= Distance to peak x Cos(point of elevation)
= 2,980 x Cos18°
= 2,834.15 m
What is the distance from point A to the peak of Mount Maggie?= Distance to peak x Cos13°
= 5,130 x Cos13°
= 4,998.52m
What is the distance from point A to the peak of Mount Rolly?= 3,450 x Cos23°
= 3,375.74 m
Question is:
Determine the horizontal distance from point A to each mountain peak.
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is -0.347 a rational number
Answer:
Yes
Step-by-step explanation:
-0.347 is a rational number because all positive and negative numbers are integers
a community center is trying to raise $1680 to purchase exercise equipment. the center is hoping to receive equal contributions from members of the community. write and algebraic expression to determine how much will be needed from each person if n people contribute. Then evaluate the expression for 10, 12, 14, or 16 people.
Lets find f(n) formula
\(\boxed{\sf f(n)=\dfrac{1680}{n}}\)
Now
\(\\ \sf\longmapsto f(10)=\dfrac{1680}{10}=168\)
\(\\ \sf\longmapsto f(12)=\dfrac{1680}{12}=140\)
\(\\ \sf\longmapsto f(16)=\dfrac{1680}{16}=105\)
\(\\ \sf\longmapsto f(14)=\dfrac{1680}{14}=120\)
Calculate the work done.
A crane lifts 5,000 newtons to the top of a roof which is 6 meters high.
Answer:
30, 000 Nm
Step-by-step explanation:
F = mg = 5000 N
h = 6 m
Work done
W = mgh = 5000*6= 30, 000 Nm
Answer:
30000 nm
Step-by-step explanation:
What is 2/9 simplified?
The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 6 mm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth. A cylinder and 2 half spheres. All have a radius of 6 millimeters. The cylinder has a height of 12 millimeters. Recall the formulas V = B h and V = four-thirds pi r cubed 527.52 cubic millimeters 1,431.84 cubic millimeters 2,034.72 cubic millimeters 2,260.80 cubic millimeters
Answer:
2260.8cu.mm
Step-by-step explanation:I don't say you must have to mark my and as brainliest but if you think it has really helped you plz don't forget to thank me.
Can someone please hope and show the work?
Answer: 16 pounds of grain.
Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.
(let me know if you would like me to explain more on this)
Help pleaseeee!!!!!!!!!!
Answer:
I think it's false.
In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.
6 has a relation to 5 and 10.
Answer:
No it's not a function
Step-by-step explanation:
What is the product a/b x b/c x c/d x d/e of none of the values are equal to 0?
Multiplying the numerator and denominators,
\(\frac{abcd}{bcde}=\boxed{a/e}\)
f(x)=x-5
g(x) = 2x+1
Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).
Answer:
(f - g)(x) = -x - 6
(f + g)(x) = 3x - 4
(f*g)(4) = -9
Step-by-step explanation:
These are your equations:
f(x) = x - 5
g(x) = 2x + 1
To find (f - g)(x), subtract g(x) from f(x).
(f - g)(x) = x - 5 - (2x + 1)
(f - g)(x) = x - 5 - 2x - 1
(f - g)(x) = -x - 5 - 1
(f - g)(x) = -x - 6
To find (f + g)(x), add f(x) with g(x).
(f + g)(x) = x - 5 + 2x + 1
(f + g)(x) = 3x - 5 + 1
(f + g)(x) = 3x - 4
To find (f*g)(4), you need to first find (f*g)(4). You can do this by multiplying f(x) wih g(x).
(f*g)(x) = (x - 5)(2x + 1)
(f*g)(x) = 2x² - 9x - 5
Now that you have (f*g)(x), solve with x as 4.
(f*g)(4) = 2(4)² - 9(4) - 5
(f*g)(4) = 2(16) - 9(4) - 5
(f*g)(4) = 32 - 36 - 5
(f*g)(4) = -9
The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x)=x-5
g(x) = 2x+1
According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4
[f + g ](x) = 3x - 4
[f - g ](x) = x - 5 - 2x - 1
[f - g ](x) = -x - 6
(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5
(f.g)(4) = 2[4]² - 4[4] - 5
= 32 - 16 - 5
= 11
(f.g)(4) = 11
Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.
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Add the equations.3x-y=-5
7x+y=15
Step-by-step explanation:
it is like a regular addition of numbers. you add the different positions.
3x + 7x = 10x
-y + y = 0
-5 + 15 = 10
so, D. is the right answer : 10x = 10
help me!! this is very important
Answer:
C: 4
Step-by-step explanation:
The second number is always the first times 4
Answer:
4
Step-by-step explanation:
If you divide the numbers they will ALL equal 4. Have a good day <3
Who is most likely to get a good credit card rate based on their credit-to-debt ratio?
A. Darius has a credit limit of $6,000 and abalance of $1,200.
B. Laurel has a credit limit of $5,000 and a balance of $500.
C. Lenore has a credit limit of $10,000 and a balance of $3,500.
D. August has a credit limit of $2,000 and a balance of $300.
Answer: its the Laurel girl :)
Step-by-step explanation: I got it right.
Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate option (B) is correct.
What is debt?It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.
We have a statement:
Who is most likely to get a good credit card rate based on their credit-to-debt ratio?
As we know,
Credit-to-debt ratio = Credit card balance ÷ Credit limit
A. Darius has a credit limit of $6,000 and a balance of $1,200.
Credit-to-debt ratio = 1200/6000 = 0.2 or 20%
B. Laurel has a credit limit of $5,000 and a balance of $500.
Credit-to-debt ratio = 500/5000 = 0.1 or 10%
C. Lenore has a credit limit of $10,000 and a balance of $3,500.
Credit-to-debt ratio = 3500/10000 = 0.5 or 35%
D. August has a credit limit of $2,000 and a balance of $300.
Credit-to-debt ratio = 0.15 or 15%
As we can see Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate.
Thus, Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate option (B) is correct.
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5.1. Why are learning and teaching resources (LTSM) essential in Mathematics? Explain in
one paragraph of no more/less than 6 lines.
Learning and teaching resources are essential in Mathematics because teaching materials come in many shapes and sizes, and they all have in common the ability to support learning.
How to illustrate the information?It should be noted that teachers help students to engage with and make connections between their mathematical knowledge, and understandings with other learning areas and the world around them.
Therefore, the learning and Teaching Support Material is an integral and vital part of every education system and the effective management, utilization and maintenance of this valuable resource as this will ensure access and support to the delivery of quality education.
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3) g(x) = 3x - 5
f(x) = x² +3
Find g(x) + f(x)
A) x2 + 3x - 2
C) x² - 4x + 6
B) x² – 3x - 2
D) -x - x + 1
Answer:
C. X²-4X+6
MY ANSWER(not sure)
Select the correct answer. How many solutions for x does the following equation have? A. 4 B. 0 C. infinite D. 1
The equation 2 (p+ 7) = 4 - 8p has only one solution that is; -9.
We know that solution of an equation refers usually to the values of the variables involved in that equation that if substituted in place of that variable would give a true mathematical statement.
We need to determine the solutions does the equation 2 (p+ 7) = 4 - 8p have;
Now solving for p,
2 (p+ 7) = 4 - 8
Open the bracket,
2p+ 14 = 4 - 8
Combine the like terms,
2p = -4 - 14
2p = -18
p = -18/2 = -9
Therefore, the equation has only one solution which is -9.
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Betty can mow a lawn in 60 minutes. Melissa can mow the same lawn in 30 minutes. How long does it take for both Betty and Melissa to mow the lawn if they are working together? Express your answer as a reduced fraction.
Answer:
20 minutes
Step-by-step explanation:
Melissa works as fast as two Bettys, so working together, they get the job done at the rate 3 Bettys could do it. That time is (60 minutes)/3 = 20 minutes.
Working together, Betty and Melissa can mow the lawn in 20 minutes.
_____
You can also think in terms of mowing rates as lawns per minute. The total mowing rate is ...
Betty's rate + Melissa's rate = (1/60 lawns/min) +(1/30 lawns/min)
= (1/60 +2/60) lawns/min = 1/20 lawns/min
The inverse rate is then ...
20/1 min/lawn
Together, they take 20 minutes to mow 1 lawn.
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
the lengths of the sides of the triangles are given. classify the triangle as acute right or obtuse 4,8,7
Given any three sides of a triangle a, b, c
where c is the bigges
\(\begin{gathered} if^{\text{ }}a^2+b^2>c^2 \\ \text{then the triangle is acute} \end{gathered}\)\(\begin{gathered} if^{\text{ }}a^2+b^2In this case, c=8, a=4, b=7\(\begin{gathered} a^2+b^2=4^2+7^2=65>64=8^2=c^2 \\ \text{then this triangle is acute} \end{gathered}\)A line is perpendicular to the line given by the equation 9y = x + 13. What is theslope of the perpendicular line?
the slope of the perpendicular line is -9
Explanation:Given equation: 9y = x + 13
Rewritting in the form of slope-intercept form: y = mx + c
We divide both sides by the coefficient of y:
9y/9 = x/9+ 13/9
y = x/9 + 13/9
where m = 1/9
c = 13/9
For a line to be perpendicular to another line, the slope of one will be the negative reciprocal of the second slope
Since the slope of the first line = 1/9
reciprocal of 1/9 = 9/1 = 9
negative reciprocal = -9
The slope of the second is the negative reciprocal of the 1st line
Hence, the slope of the second (slope of the perpendicular line) is -9
The four sides of Pam's vegetable garden are
26 3/4 feet,
24 1/2 feet,
23 1/2 feet, and
18 1/4 feet. How many feet of fencing are needed to go around the garden? First estimate the answer, then solve to find the exact answer.
Answer:
The perimeter of the garden would be 93 feet, meaning you would need 93 feet of fencing.
Step-by-step explanation:
To find the perimeter of a shape you first need to know how long each side of the shape is and then add those sides together, once you have that number, you have your perimeter. I hope this helps.
Zach wants to paint the top of the table shown. What is the approximate area that he will paint? Use 3.14 for pi Round to the nearest whole number of inches.
Answer:
≈4776
Step-by-step explanation:
r=78/2
r=39
A=3.14r^2
A=3.14(39)^2
A=3.14*1521
A≈4776
Hope this helps :)