Final answer:
The number in question is 70, found by solving the equation 1/2 * x - 25 = 10.
Explanation:
To find a number where half of that number, subtracted by 25, equals 10. We can set up an equation to represent this: 1/2 * x - 25 = 10, where 'x' is the number we are trying to find. To solve for 'x', we first add 25 to both sides of the equation, which gives us 1/2 * x = 35. Then, to isolate 'x', we multiply both sides by 2, resulting in x = 70. Therefore, the number is 70.
Final answer:
To find the number, isolate the variable by performing inverse operations. The number is 70.
Explanation:
To find the number, we need to translate the given information into an equation. Let's assume the number is x. The equation can be written as:
1/2x - 25 = 10.
To isolate the variable x, we first add 25 to both sides of the equation:
1/2x - 25 + 25 = 10 + 25.
This simplifies to 1/2x = 35.
Next, we multiply both sides of the equation by 2 to undo the division by
1/2: 2 × (1/2x) = 2 × 35.
The 1/2 cancels out on the left side, leaving us with x = 70.
Therefore, the number is 70.
Plz help me thank you guys so much!!!!! oops part of my face is also in the pics just ignore that
1) All three are right A.K.A 4
4) The answer is also 4).
what is the value of p in the linear equation 24 p + 12 - 18 p
Answer:
P= -2 NEGATIVE 2
Step-by-step explanation:
Answer:
B. -2
Step-by-step explanation:
What is the slope of the line represented by the equation 6y-14x=5
Answer:
14/6
Step-by-step explanation:
To find the slope, we can put it into slope intercept form. So 6y=14x+5. So y=14/6+5/6.
If 5x+6=10,what is the value of 10x+3
On a piece of paper, graph y < 3/4 x+2 Then determine which answer matches the graph drew.
Step-by-step explanation:
Given inequality is [tex]y<\frac{3}{4}x+2[/tex].
To graph that inequality, first we need to graph the line [tex]y=\frac{3}{4}x+2[/tex]. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into [tex]y=\frac{3}{4}x+2[/tex], we get:
[tex]y=\frac{3}{4}*0+2=2[/tex]
Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:
[tex]y=\frac{3}{4}*4+2=5[/tex]
Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into [tex]y<\frac{3}{4}x+2[/tex].
[tex]0<\frac{3}{4}*0+2[/tex]
[tex]0<0+2[/tex]
0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;
The correct answer is 2. A dashed line with the shaded area below the line.
To graph y < 3/4 x + 2, first find the y-intercept, which is the point where the line crosses the y-axis.
This happens when x is 0, so the y-intercept is 2.
The slope of the line is 3/4, so for every 3 units you move up, you must also move 4 units to the right.
Start at the y-intercept and move 3 units up.
Then, move 4 units to the right.
Repeat this process until you have graphed a few points.
The line should continue in this direction forever.
The shaded area below the line represents the values of y that are less than 3/4 x + 2.
Here are the possible answers:
A solid line with the shaded area below the line.A dashed line with the shaded area below the line.A solid line with the shaded area above the line.A dashed line with the shaded area above the line.The correct answer is 2. A dashed line with the shaded area below the line.
The dashed line indicates that the inequality is not strict, meaning that the line is allowed to touch the shaded area.
The shaded area below the line indicates that the values of y that are less than 3/4 x + 2 are represented by the points below the line.
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Tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. In the high season, 1200 people come to the zoo every day. On a certian day, the total revenue at the zoo was $5300. For every 3 teenagers, 8 children went to the zoo. How many teenagers went to the zoo?
a.
100 teenagers
c.
300 teenagers
b.
200 teenagers
d.
400 teenagers
Answer:
300 teenagers
Step-by-step explanation:
6a + 5t + 4c = 5300
a + t + c = 1200
(8/3)*t = c
6a+4c+5t = 5300
a+c+t = 1200
3c-8t = 0
a = 100
c = 800
t = 300
Answer: c is the right answer
Step-by-step explanation:
Abbie recorded the temperatures at which two oils freeze: Oil Temperature Cottonseed oil −48.1 °C Coconut oil 24.8 °C Which statement about the temperatures at which these oils freeze is true? Coconut oil freezes at a higher temperature than cottonseed oil because 24.8 °C < −48.1 °C. Coconut oil freezes at a lower temperature than cottonseed oil because 24.8 °C < −48.1 °C. Coconut oil freezes at a higher temperature than cottonseed oil because 24.8 °C > −48.1 °C. Coconut oil freezes at a lower temperature than cottonseed oil because 24.8 °C > −48.1 °C.
Answer:
The correct answer is option (C).
Coconut oil freezes at a higher temperature than cottonseed oil because 24.8 > -48.1
Step-by-step explanation:
We have been given the freezing temperatures of cottonseed oil and coconut oil. The freezing temperature of cottonseed oil is -48.1 degree celsius and the same for coconut oil is 24.8 degree celsius.
We are supposed to compare the two freezing temperatures. We know that 24.8 is higher than -48.1, therefore, we can conclude that freezing temperature of coconut oil is higher than the freezing temperature of cottonseed oil because 24.8 is more than -48.1. Thus, correct answer is option (C).
Answer:
C
Step-by-step explanation:
The gray figure is the image of the black figure after a dilation. Which represents the dilation?
Answer:
B.
Step-by-step explanation:
The original function in 8 wide, the new function is 4 wide. That means the original function was shrunk by half (4/8)
(x,y)--> (1/2x, 1/2y) represents the dilation.
What is Dilation?Dilation defines changing the size of an object without changing its shape.
How to Solve the problem?This problem can be solved by following steps
In black figure X-axis = 8 units , Y axis = 8 units.In grey figure X-axis = 4 units , Y axis = 4 units.X-axis of grey figure = 1/2*X-axis of Black figure.= 1/2*8
= 4 units.
Y-axis of grey figure = 1/2*Y-axis of Black figure
= 1/2*8
= 4 units
Therefore,
(x,y)--> (1/2x,1/2y) represents the dilation.
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what is m+4(2m-3)=-3
Answer:
m = 1
Step-by-step explanation:
distribute and simplify the left side of the equation
m + 8m - 12 = - 3
9m - 12 = - 3 ( add 12 to both sides )
9m = 9 ( divide both sides by 9 )
m = 1
Find the value of y when x = 4 in the equation 1/7(3x + y) = x Show your work help
Marisa painted 1/2 of her bedroom in 3/4 of a hour at this rate how long will it take her to paint the entire room
Answers
3/8 of an hour
8/3 of an hour
4/6 of an hour
6/4 of an hour
At the same rate, it would take Marisa 6/4 of an hour to paint the entire room. This is a ratio problem, specifically dealing with rates and proportional relationships.
Explanation:Since Marisa painted 1/2 of her room in 3/4 of an hour, to paint the entire room would take double that time. When you double 3/4, you get 6/4. Therefore, at the same rate, Marisa would need 6/4 of an hour to paint the entire room.
This problem is a basic ratio problem related to rates and proportional relationships, common topics in middle school math. The rate in this case is painting speed, half a room per 3/4 of an hour. Thus, when we double the room space to be painted (from half a room to a full room) we should also double the required time.
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What is the length of PR
Answer:
B 7
Step-by-step explanation:
Since the triangles are similar by AAA
We can use ratios to find the length x (which is PR)
5 15
-------- = ------------
x 21
Using cross products
5 * 21 = 15 *x
Divide each side by 15
5/15 * 21 = 15x/15
1/3 * 21 =x
7 =x
Answer:
here is how i did it.
Lipids are made of fatty acids and glycerides. All fatty acids contain a
A. Carboxyl group
B. Water molecule
C. Hydroxyl group
D. Triglyceride
Answer:
D. triglyceride:
Step-by-step explanation:
lipids are a groups of organic molecules, that are insoluble, that contain fatty acids, triglyceride, phospholipids, and sterols.
Beth walked around her neighborhood. In 1/2 hour, she walked 1 1/4 miles. What was Beth’s rate in miles per hour
Answer:
2.5 miles per hour
Step-by-step explanation:
ok, so we already know how long she walked in 1/2 hour and we need to find out how many miles in one full hour. So, i multiplied 1 1/4 times two to make up the one full hour and I got 2.5 miles. So the rate is 2.5 mph.
Speed of walking is 2.5 miles per hour
Given that;
Time taken to walk = 1/2 hour = 0.5 hour
Distance cover = 1¹/₄ = 5 / 4 = 1.25 miles
Find:
Speed of walking
Computation:
Speed of walking = Distance cover / Time taken
Speed of walking = 1.25 / 0.5
Speed of walking = 2.5 miles per hour
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A 10 meter long ladder rests against a vertical wall so that the distance between the foot of the ladder and the wall is 2 meter. Find the angle the ladder makes with the wall and height above the ground at which the upper end of the ladder touches the wall. Round your answer to the nearest hundredth of a degree if necessary.
Answer:
1. The angle ladder makes with the wall is 11.54°
2. The height above the ground at which the upper end of the ladder touches the wall is 9.80 m
Step-by-step explanation:
∠A is what we are trying to find. Also AC is the length we are trying to find, as well.We see that the side opposite of ∠A and the hypotenuse (side opposite of 90 degree angle) of the triangle are known. The ratio that relates these two sides are SINE.
We know,
[tex]sin(angle)=\frac{opposite}{hypotenuse}[/tex]
Thus we can write:
[tex]sin(A)=\frac{2}{10}\\sin(A)=\frac{1}{5}[/tex]
To find ∠A, we take the inverse sine of [tex]\frac{1}{5}[/tex]. Our answer is:
[tex]sin(A)=\frac{1}{5}\\A=sin^{-1}(\frac{1}{5})\\A=11.54[/tex]
Thus the angle ladder makes with the wall is 11.54°
Second part of the question asks for the height above the ground at which the upper end of the ladder touches the wall, this is the length of AC.
Given the angle we found, we see that the side AC is adjacent of the angle and we also know the hypotenuse. The ratio that relates these 2 sides is COSINE.
We know,
[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]
Thus, we can write:
[tex]cos(11.54)=\frac{AC}{10}[/tex]
Cross multiplying and solving for AC, gives us:
[tex]cos(11.54)=\frac{AC}{10}\\AC=10*cos(11.54)\\A=9.80[/tex]
Thus, the height above the ground at which the upper end of the ladder touches the wall is 9.80 m
How do you set up an equation for this problem??
Answer:
2x + 7 = 3x - 5
Step-by-step explanation:
Since triangle RTS is isosceles, RT is congruent to RS. So you can set up the equation 2x + 7 = 3x - 5 to find x. Then you can input the value of x into 2x +7 or 3x - 5 to find the measure of the congruent sides.
12 = n/-3 + 10
what is the value of n
Answer: n = -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
12= −1/3n +10
Step 2: Flip the equation.
−1/3n +10=12
Step 3: Subtract 10 from both sides.
−1/3n +10−10=12−10
−1/3n =2
Step 4: Multiply both sides by 3/(-1).
(3/−1) x (-1/3n) = (3/-1) x (2)
n=−6
factor the expression completely. 8y - 36
Answer:
[tex]4(2y-9)[/tex]
Step-by-step explanation:
To begin factoring the expression [tex]8y-36[/tex], we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:
[tex]8y: 2*4*y[/tex]
[tex]-36: -1*4*9[/tex]
We notice the only common factors is 4.
We write in the form 4(____+_____). We find the inside of the parenthesis by dividing each term by 4.
[tex]\frac{8y}{4} =2y[/tex]
[tex]\frac{-36}{4} =-9[/tex]
4(2y-9)
On Monday Kennedy spent $2 on lunch. On Tuesday she spent $1 on a snack on Wednesday, her sister gave her $3. Graph the integers on the number line.
Answer:
-2, -1, 3.Step-by-step explanation:
Money per day:On Monday: $2 on lunch.
On Tuesday: $1 on a snack.
On Wednesday: her siter gave her $3.
Now, before we graph the integers, first you need to think about those number and their meaning. If the number represents debt or expenses, then it must be a negative number. But, if the number represents money received, then it must be a positive number.
So, we have the following integer: -2, -1, 3.
If we graph these integers, it would be like the images attached shows.
whats -2/3+(-7 4/9) please solve
Answer:-8.1111111
Step-by-step explanation:
you are designing a mix of 4 songs to play on your mp3 player while you exercise you have 25 mp3’s that you consider appropriate for the purpose how many different sequences of 4 songs can you devise?
A. 24
B. 12,650
C. 13,800
D. 303,600
E. 390,625
the permitir of the garden is (6x+2) units. Find the length of the missing side .
Answer: ? = x + 1
Step-by-step explanation:
The perimeter of the garden is x + 3x + 1 + x + ?
The perimeter of the garden is also (6x + 2)
Therfore:
x + 3x + 1 + x + ? = 6x + 2
Collect like terms:
5x + 1 + ? = 6x + 2
Subtract 5x from both sides:
1 + ? = x + 2
Subtract 1 from both sides:
? = x + 1
You cannot find ? as a number, only in terms of x.
Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is r' if C/C' = 0.75 and d = 6.0?
A) 2
B) 4
C) 8
D) 12
Answer:
B
Step-by-step explanation:
All circles are similar and therefore proportional. C/C' is the ratio of Circle C to Circle C'. Since it is 0.75, this means that C is 75% of C'. We know that radius of C will also be 75% of the radiuc of C'. We can the radius because we know the diameter of Circle C is 6. The radius is therefore 3. 3 is 75% of 4. So r/r' or 3/4=0.75. r/ must be 4.
Answer: B) 4
Step-by-step explanation:
Got this right on USA test prep
A survey at your school found that 792 in 1,220 students have a cell phone. What percent of the a poinp students in school have a cell phone? Round to the nearest hundredth where necessary
Answer: 100/1220*792= 64.9 have cell phones.
Step-by-step explanation:
Answer:
The percentage of students with cell phone is 64.92%
Step-by-step explanation:
Given
Sample Size = 1,220
Number of student with cell phones = 792
Required
Percentage of students with cell phone
To calculate the percentage of students with cell phone, we take a ratio of the number of students with cell phone to the sample size.
Mathematically, this is represented as
[tex]Percentage = \frac{Students-with-cell-phone}{Sample Size}[/tex]
By Substitution,
[tex]Percentage = \frac{792}{1220}[/tex]
[tex]Percentage = 0.64918032786[/tex]
[tex]Percentage = 64.918032786[/tex]%
[tex]Percentage = 64.92[/tex]% Approximated to nearest hundredth
Hence, the percentage of students with cell phone is 64.92%
Fill in the blank plz
Step-by-step explanation:
a. Given => m∠5 = 40°
b. Given => m∠2 = 140°
c. Same Side Interior Angle Theorem => The same side interior angles must add up to 180°, which in this case, it does. m∠4 and m∠2 are alternate interior angles, and so there measurements are the same. 180 - 140 = 40
d. Both angles are part of the "same-side interior angles", which means that there measurements should add up to 180°. Note that m∠5 = 40°, and m∠2 = 140° (Given). Set the equation
m∠5 + m∠2 = 180
Plug in the number for each angle
40 + 140 = 180
180 = 180 (True).
e. It is proven that the above measurements are congruent with their corresponding parts. This means that a || b through Converse of Same Side Interior angle Theorem.
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travis has three moths to save money for a trip. an airplane ticket costs more than 300 . if he saves the same amount of money ,a,each month,how much does he need to save each month to pay for the ticket
Answer:
He needs to save $100 a month.
Step-by-step explanation:
Since Travis needs $300 in 3 months, you divide 300 by 3.
300/3 = 100
Therefore, Travis needs to save $100 a month.
Travis needs to save more than $100 each month for three months to afford an airplane ticket that costs more than $300.
Explanation:To determine how much Travis needs to save each month to pay for his airplane ticket, which costs more than $300, we can set up an equation. Let's assume the minimum amount he needs for the ticket is $300. If Travis is saving for three months, he needs to divide the total cost of the ticket by the number of months he has to save.
Let the amount he needs to save each month be represented by a. Therefore, we have the following equation: 3a = 300, which simplifies to a = 300/3. Solving this, we find that a = $100.
However, since the ticket costs more than $300, he will need to save slightly more than $100 each month.
At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday. The pizzeria made a total of 84 pizzas that day. How many of those pizzas were topped with vegetables?
A. 12
B. 36
C. 48
D. 63
Answer:
Option B is correct
36 pizzas were topped with vegetables
Step-by-step explanation:
Let x be the number.
As per the statement:
At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.
The ratio of pizza topped with meat to pizzas topped with vegetables = 4 : 3
then;
the number of pizza topped with meat = 4x
and
the number pizza topped with vegetables = 3x
It is also given that the pizzeria made a total of 84 pizzas that day.
[tex]\text{Total Pizzas} = \text{Number of pizzas topped with meat}+ \text{Number of pizzas topped with vegetables}[/tex]
Substitute the given values we get;
[tex]84 = 4x+3x[/tex]
Combine like terms;
[tex]84= 7x[/tex]
Divide both sides by 7 we get;
12 = x
The pizza were topped with vegetables = 3x = 3(12) = 36
therefore, 36 pizzas were topped with vegetables
Answer:
The correct answer is option B.
Step-by-step explanation:
The ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.
Let the pizza's topped with meat be 4x
Let the pizza's topped with vegetable be 3x
Total pizzeria made a Saturday = 84
4x + 3x = 84
7x = 84
x = [tex]\frac{84}{7}=12[/tex]
Pizza's topped with meat = 4x = 4 × 12 = 48
Pizza's topped with vegetable = 3x = 3 × 12 = 36
12 pizzas were topped with vegetables.
Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for $1.10/lb. How many pounds of lollipops are in the mixture?
Answer:
20 lbs
Step-by-step explanation:
In a certain bag of candies, 2/5 of the candies are grape flavored and 3/10 are lemon flavored. What fraction of the candies is either grape flavored or lemon flavored?
A. 1/10
B. 2/3
C. 7/10
To find the fraction of candies that are either grape or lemon flavored, we add the fractions representing each flavor: 2/5 for grape and 3/10 for lemon. After finding a common denominator, we get 4/10 + 3/10, yielding 7/10 of the candies being either grape or lemon-flavored.
To find the fraction of candies that are either grape-flavored or lemon-flavored, we need to add the fractions that represent each flavor. We are told that 2/5 of the candies are grape-flavored and 3/10 are lemon-flavored.
First, we need a common denominator to add these two fractions. The least common denominator for 5 and 10 is 10. We can convert 2/5 to a fraction with a denominator of 10 by multiplying both the numerator and denominator by 2. This gives us 4/10. Now we can add:
4/10 (grape flavored)
+ 3/10 (lemon flavored)
= 7/10 (either grape or lemon flavored)
Hence, the fraction of the candies that are either grape-flavored or lemon-flavored is 7/10.