Stephanie is x years old. Tobi is twice as old as Stephanie. Ulrika is 3 years younger than Tobi. The sum of all their ages is 52 years. Work out the value of x.
Answers
Answer:
\(x=11\)
Step-by-step explanation:
Stephanie is \(x\) years old.
Tobie is \(2x\) years old.
Ulrika is \(2x-3\) years old.
\(x+2x+2x-3=52\)
\(5x-3=52\)
\(5x=52+3\)
\(5x=55\)
\(\frac{5x}{5} =\frac{55}{5}\)
\(x=11\)
Answer:
\(x = 11\)
Step-by-step explanation:
Stephanie = x
Tobi = 2x
Ulrika = 2x-3
\(x + 2x + 2x + 3 = 52 \\ 5x - 3 = 52 \\ 5x = 52 + 3 \\ 5x =55 \\ \frac{5x}{5} = \frac{55}{5} \\ x = 11\)
hope this helps
Related Questions
Petra is making a batch of extra large donuts by stamping circles in dough using a pastry stamp with a diameter of 5 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 2 inches.
How many square inches of dough are left in the donut after the hole has been removed?
Step 1 - Find the radius of each circle
Step 2 - Find the area of the large circle
Step 3 - Find the area of the small circle
Step 4 - Area of large circle minus area of small circle
Area = \(\pi\)²
Describe how you solved this problem using complete sentences and include all relevant formulas and calculations. Use 3.14 for \(\pi\)
Answers
Answer:
16.49
Step-by-step explanation:
First we are going to find the area of the larger circle. You don't need to find the radius, you can just use the diameter(the radius is 2.5). 3.14 times 2.5 squared=19.63. Next, the radius of the smaller circle is 1. So, 3.14 ^1 squared=3.14 19.63 - 3.14= 16.49
how to solve 6r - 1 + 6r =11
Answers
Answer:
r = 1
Step-by-step explanation:
The equation is,
→ 6r - 1 + 6r = 11
Now the value of r will be,
→ 6r - 1 + 6r = 11
→ 12r = 11 + 1
→ r = 12/12
→ [ r = 1 ]
Hence, the value of r is 1.
Answer:
The answer is 1 r is equal to 1
Step-by-step explanation:
help? (brainliest for correct answer)
Answers
Answer:
i only have a answer for the first picture & i cant really explain it bc i looked it up.. but here the answer: m=9
Step-by-step explanation:
Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer.
Answers
Answer:
Mean, It's best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers
Step-by-step explanation:
the question is which measure of center. MEAN OR MEDIAN
Please help me! I’ll mark you Brainliest!
Answers
Answer:
\(1)m = 5 \\ 2)y = 26\)
Answer:
m = 5
y = 26
Step-by-step explanation:
Find the distance between the pair of points on the coordinate plane. Round to the nearest tenth of necessary. (-4,-3 and 2,1)
Answers
Answer:
Step-by-step explanation:
distance is 1.41421
haven't rounded
Gabriel's family took a road trip to Mount Rushmore. Gabriel slept through the last 72% of the trip. If the total length of the trip was 900 miles, how many miles had they travelled when Gabriel fell asleep?
Answers
Answer:
648 miles Pls mark me Brainliest
Step-by-step explanation:
72% of 900
72/100 * 900
72 * 9
= 648 miles
NEED HELP ASAP Match each set of information about a circle with the area of that circle.
Drag and drop the card to match the information.
Answers
Answer:
the first one is A The second on C the third one D and last one B
Step-by-step explanation:
2.C
3.D
4.D
Hope this helps
Find the original price given a total amount of $26.98 and tip rate of 14%.
(if you can, please show work! Thanks so much!)
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Explanation: 14% of $23.20 would be $3.772.
.............................
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Please help me with this. I can't figure this one out.
Answers
Answer:
0.2 g/mL
Step-by-step explanation:
Density is equal to the mass of substance divided by its volume.
6 = d • 30
divide 30 on both sides
6/30 = d
1/5 = d
———
solution:
density = 1/5
SOLVE: 4³ + 6 · (4² - 3²) Please help .
Answers
Answer:
70
Step-by-step explanation:
see attached image for sol
First to simplify the problem by squaring he numbers that need to be squared
64+6(16-9)
Then follow PEMDAS, and finish the equation that is inside the parenthesis.
64+6(7)
Then multiply 6 and 7.
64 + 42
Then add.
106.
Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.
Answers
Answer:
The equation is: \(5c-2=9\)
Step-by-step explanation:
Since 2 less than the product of 5 and a number c is equal to 9, it follows:
\(5c-2=9\)
3. Consider the equation 4t +10=34
(a) Write a real-world problem that can be solved using the equation.
(c) What does t represent in your scenario?
Answers
I was having trouble thinking of a story, sorry.
Answer all for brainliest
Which is greater 1/10 or .09 why?
Which is the least value, .5 or 2/4?
Order from greatest to least, -4/5, -1/2, .25, -.2, 2 1/2
Answers
Answer: 1/10 is greater; niether its equal; 2 1/2, .25, -.2, -1/2, -4/5
Step-by-step explanation:
1/10 is a tenth and .09 is a hunderedth
x + 4 + 2x + 5
10x – 3x + 7
5x + 6y + 2xy + 4x – 2y
7t + 2r – 3t + r
14 + 11p – 12
8q – 3t + 4q + 9
may u please simplify these
Answers
Step-by-step explanation:
a)x + 4 + 2x +5
= x + 2x + 4 + 5
= 3x + 9b)10x - 3x + 7=7x + 7c)5x + 6y + 2xy + 4x - 2y=5x + 4x + 6y - 2y + 2xy=9x + 4y + 2xyc)7t + 2r - 3t + r=7t - 3t + 2r + r=4t + 3rd)14 + 11p - 12=14 - 12 + 11p=2 + 11pe)8q - 3t + 4q + 9=8q + 4q + 3t + 9=12q + 3t + 92: 7x + 7
3: 2xy + 9x + 4y
4: 4t + 3r
5: 11p + 2
6: 12q - 3t +9
MULTI CHOICE Q
look in picture
Answers
Answer:
D
Step-by-step explanation:
The two legs ( shorter sides) have the right angle between them in a right triangle and
5^2 + 9^2 DOES equal 13^2
side with a right angle between them. The 13 cm side will fit to form a right triangle.
A cable company charges $70 per month for cable service to existing customers.
a. Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
b.For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
c.When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
Answers
Answer:
a: y=70x
b: y=70x+100
c: They are parallel to each other, with equation b's line being 100 dollars above equation a.
Step-by-step explanation:
They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.
Don't forget to like and rate!
The equation is given by y = 70x and for the new customers it is given by y = 70x + 100.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept
Let x represent the number of months of service, and y represent the total amount
a) A cable company charges $70 per month, hence:
y = 70x
b) The is an additional one-time $100 service fee, hence:
y = 70x + 100
Hence the equation is given by y = 70x and for the new customers it is given by y = 70x + 100
Find out more at: https://brainly.com/question/4281414
Write an equation for the line in slope-intercept form.
Answers
it’s hard to tell where the line is meeting the corners of the small squares but slope intercept is y=mx+b
m is slope
b is y intercept
it appears as the line intercepts the y axis at 4 so that is your y intercept. the slope is 3/1 which is just 3 so you would end up with y=3x+4
Which is constant term in the equation given in standard from 5x+3y=15
Answers
The constant term would be 15.
A constant term is a term that does not or can not be changed.
Hope this helps !
Please help i tried and i got it wrong. If you get 14 then... Yeah its wrong. Ty!
Answers
Answer: if it's the same question I just answered for you then I tried it again and im like 99% sure x= -2
Step-by-step explanation:
Explain how to show a reflected object is congruent to its preimage. Be specific.
Answers
Answer:
To show that a reflected object is congruent to its preimage, follow these steps:
Identify the line of reflection.
Locate corresponding points on the preimage and its reflection.
Measure the distances between the line of reflection and the corresponding points.
Compare the distances for each corresponding point.
If the distances are equal, the reflected object is congruent to the preimage.
Step-by-step explanation:
Step-by-step explanation:
To show that a reflected object is congruent to its preimage, you need to demonstrate that the reflected object and the preimage have the same size and shape. Here's how you can do it:
1. Identify the preimage
2. Determine the line of reflection
3. Reflect the preimage
4. Compare corresponding points
5. Check angles
6. Verify sides
7. State the conclusion
By following these steps and ensuring that all corresponding points, angles, and sides are congruent, you provide a specific and comprehensive demonstration that the reflected object is congruent to its preimage.
Marcella bought 12 /14 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.
How many yards of ribbon does Marcella have left?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
\(6\frac{1}{12}\) yards
Step-by-step explanation:
Marcella bought 12 1/4 yards of ribbon. She uses 2 1/2 yards of ribbon for gift packages and 3 2/3 yards to tie balloons.
The amount ribbon she had at the beginning: \(12\frac{1}{4}\)
The amount she used: \(2\frac{1}{2} +3\frac{2}{3}\\\)
Our expression: \(12\frac{1}{4} -(2\frac{1}{2} +3\frac{2}{3} )\)
LCM of 2, 3, and 4: 12
2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
3:
3, 6, 9, 12, 15, 18
4:
4, 8, 12, 16, 20
\(12\frac{1}{4} -(2\frac{1}{2} +3\frac{2}{3} )\\\\\frac{4*12+1}{4} -(\frac{2*2+1}{2} +\frac{3*3+2}{3})\\\\\frac{49}{4}-(\frac{5}{2}+\frac{11}{3})\\\\\frac{147}{12}-(\frac{30}{12}+\frac{44}{12})\\\\\frac{147}{12}-\frac{74}{12}\\\\\frac{73}{12}\\\\6\frac{1}{12}\)
Therefore, Marcella will have \(6\frac{1}{12}\) yards of ribbons left.
Hope this helps!
A circle has an area of 144πcm². Calculate the circumference of the circle leaving your answer in terms of π
Answers
The circumference of the circle is 24π cm.
The area of a circle is given by the formula:
A = πr²
where A is the area of the circle and r is the radius.
In this problem, we know that the area of the circle is 144π cm^2. Substituting this value into the formula, we get:
144π = πr²
Dividing both sides by π, we get:
r² = 144
Taking the square root of both sides, we get:
r = 12
Therefore, the radius of the circle is 12 cm.
The circumference of a circle is given by the formula:
C = 2πr
Substituting the value of r, we get:
C = 2π(12)
Simplifying, we get:
C = 24π
Therefore, the circumference of the circle is 24π cm.
To learn more about the circumference of the circle,
https://brainly.com/question/20489969
Answer:
Therefore, the circumference of the circle is 24π cm.
Step-by-step explanation:
A circle's circumference is the distance around its outside.. It is similar to the perimeter of other shapes such as squares. Consider it to be the line that defines the shape.
The circle's circumference is 24 cm.
The area of a circle is:
A = πr²
where A denotes the circle's area and its radius.
In this problem, we know that the area of the circle is 144π \(cm^2.\) Exchange this value into the formula, and we get.
144π = πr²
Divide π by both sides, and we get:
r² = 144
Take the square root on both sides, and we get:
r = 12
The radius of the circle is 12cm.
The circumference of a circle is:
C = 2πr
Exchange the value of r, we get:
C = 2π(12)
Finally, we get:
C = 24π
Therefore, the circumference of the circle is 24π cm.
To learn more about circumference of the circle,
https://brainly.com/question/28912364
To learn more about radius of the circle,
https://brainly.com/question/13449316
Please help!!! Here is the question:
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WHAT IS THIS?!?!PLS HELP!!!
Answers
Answer:
Step-by-step explanation:
idek
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter. How old am I now?
Answers
Answer:
65 years old.
Step-by-step explanation:
Define the variables:
Let x be the age of the granddaughter.Let y be the age of the grandparent.Given:
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.Create two equations with the given information and defined variables:
\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)
Substitute the first equation into the second equation and solve for x:
\(\implies 13x+1=11(x+1)\)
\(\implies 13x+1=11x+11\)
\(\implies 2x=10\)
\(\implies x=5\)
Substitute the found value of x into the first equation and solve for y:
\(\implies y=13(5)\)
\(\implies y=65\)
Therefore, the age of the grandparent now is 65 years.
Given statements:
I am currently 13 times as old as my granddaughter. Next year, I will be 11 times as old as my granddaughter.Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.
\(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)
Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.
⇒ G + 1 = 11(D + 1)⇒ G + 1 = 11(D + 1) [G = 13D]⇒ 13D + 1 = 11(D + 1)To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.
⇒ 13D + 1 = 11(D + 1)⇒ 13D + 1 = 11D + 11Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.
Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.
⇒ 13D + 1 - 11D = 11D + 11 - 11D⇒ 1 + 2D = 11To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:
⇒ 1 + 2D - 1 = 11 - 1⇒ 2D = 10But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.
⇒ 2D = 10⇒ 2D/2 = 10/2Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.
⇒ 2D/2 = 10/2⇒ D = 5Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.
⇒ G = 13D ⇒ G = 13(5)⇒ G = 65 yearsTherefore, the age of the grandparent is 65 years.
HELP PLEASE !!!!!!!!!!!!!!!
Answers
Answer:
b
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Apply the markup or markdown to each item and then find the retail sale price of the following items. Round to two decimal places. Question:
$1.50 notebook, 20% markdown
Answers
Answer:
$1.80
Step-by-step explanation:
Doing something mean to it
Do it better than anybody you ever seen do it
Screams from the haters, got a nice ring to it
I guess every superhero need his theme music
....................
Answers
Answer:
?
Step-by-step explanation: