a girl saved $13.50 in 6 weeks. at that rate, how long will it take to save $108?
Answer:
48 weeks to save $108
Step-by-step explanation:
$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week
$13.50 / 6 = 6 / 6 weeks
$2.25 = per week
so $2.25 times _____ = $108
2.25x = 108 divided both side by 2.25 to get x alone
x is defined by the number of weeks
2.25x / 2.25 = 108 / 2.25
x = 48 $2.25 times 48 = $108
Darnel drew a scale drawing of a swimming pool. the scale he used was 14 centimeters : 5 meters. if the actual width of the pool is 10 meters, how wide is the pool in the drawing? '
Answer:
28cm
Step-by-step explanation:
Given that;
14cm = 5m
x = 10m
cross multiply
5x = 140
divide both side by (5)
[tex] \frac{5x}{5} = \frac{140}{5} [/tex]
:- x = 28cm
In the diagram, the length of segment AB is 10 units and the radius of the circle centered at A is 4 units. Use this to create two unique triangles, each with a side of length 10 and a side of length 4. Label the sides that have lengths 10 and 4.
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.
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8. FInd the area. Hint: A=1/2bh
is my answer correct
The value of angle 2 will be equal to 132°.
What is the angle?
The distance between two intersecting lines or surfaces at or around the point where they meet (typically measured in degrees) is called an angle.
Given that:-
A line is intersecting two parallel lines and making angles one angle is 132 and another angle is need to be found.
We can see that the two angles are exterior opposite angles so the angle 2 will be 132
Hence the value of angle 2 will be equal to 132°.
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The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate plane, and then rotates an additional 25 degrees. What is the measure of the angle?
A. 205°
B. 215°
C. 155°
D. 25°
HELP!!
The measure of the angle is 205°. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
There are 4 quadrants and each quadrant has a measure of 90° angle.
The fact that the orientation is positive indicates that the arm is moving from the first to the second quadrant.
90° + 90° = 180°
The arm has been in the third quadrant due to the additional 25° rotation.
180° + 25° = 205°
The measure of the angle is 205°.
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Write a quadratic equation that has only one real-number solution
The equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
If the quadratic equation has only one solution, then
[tex]\rm b^2 - 4ac = 0[/tex] or
[tex]\rm b^2 = 4ac[/tex]
[tex]\rm x = \dfrac{-b}{2a}[/tex]
2ax = - b
(2ax+b) = 0
(2ax+b)² = 0 (square on both sides)
[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]
Thus, the equation that has only one real number solution is
4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.
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Determine the interval (s) on which the given function is increasing
Answer:
[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]
Step-by-step explanation:
A function is increasing when its gradient is positive (so y-coordinates are increasing).
We have a graph, rather than a function given to us, so we don't need to use any calculus.
Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).
Between x=0 and x=1, the function is decreasing.
After x=1, the function is increasing again.
We can use mathematical notation to express this.
[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]
Or
[tex]x < 0\ \text{and}\ x > 1[/tex]
A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).
Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).
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Ronald is attending a schoolorchestra concert. He sees his math teacher seated 24 meters
ahead of him and his science teacher seated 10 meters to his right. How far apart are the two
teachers?
Answer:
26 m
Step-by-step explanation:
Use pythag theorem
24^2 + 10^2 = d^2
d= 26 m
how do u solve this equation? ↓
10 = 7 - m
thanksss
Answer:
17
Step-by-step explanation:
10=7-m
m=???
so if you do 10+7 which equal 17 and then do 17-7 you will get ten
m=17
have a good day
Answer:
the answer is -3
Step-by-step explanation:
10 = 7 -m
swap sides so that all the variable terms are on the left hand side
7 - m =10
subtract 7 from both sides
-m + 10 - 7
subtract 7 from 10 to get 3
multiply both sides by -1
m = -3
Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=
Answer:
I hope this is the whole question
Step-by-step explanation:
Well I can only see one way and it is this...
[tex]\sqrt{27a}[/tex] = [tex]\sqrt{3.3.3.a}[/tex]
= [tex]3\sqrt{3a}[/tex]
I got rid of one perfect-square. I dont think you can do much more.
PLEASE HELP I BEG YOU! IF I DONT FINISH MY CLASS TODAY I HAVE TO MOVE SCHOOLS
A printing service charges a set-up fee of $11.00 for each order and 15 cents more for each copy. The total cost, c (in dollars), for an order of x copies is given by the following function.
C(x)=11.00+0.15x
What is the total cost for an order of 40 copies?
Answer:
$17 ( 17 USD )
Step-by-step explanation:
C(x)=11.00+0.15x
40 copies:
C(40) = 11+0.15(40)
C(40) = 11+6
C(40) = $17
Therefore, the total cost for an order of 40 copies is $17.
Hope this helps!!!
Please mark as brainliest!!!
P.S. I guess you don't have to change schools now?
Solve The equation 1/4t-6=-4
t=
Answer:
t = 8Step-by-step explanation:
Solve The equation 1/4t-6=-4
1/4t - 6 = -4
1/4t = 2
t = 2 * 4
t = 8
-------------------
check
1/4 * 8 - 6 = -4
2 - 6 = -4
-4 = -4
the answer is good
Find the measure of exterior angle 1
the value of y is directly proportional to the value of x .If y = 124 when x = 8 , what is the value of y when x= - 1/2
Answer:
-7.75
Step-by-step explanation:
[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]
Identify the initial mount (A) and the growth factor (B) be in each exponential function break into (1+r) where the r is the rate of growth. Give r as a percentage.
y = 1.4 (1.02)
a=
b=
r (as a percentage) =
The number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:
B(d)= 2425e to the power of 0.15 d
How many days will it take for the bacteria to reach 3,700?
The time taken by the bacterias to reach 3,700 will be 2.81 days.
What will be the time?
It is given in the question that:-The the number of bacteria, B left parenthesis d right parenthesis, in a certain population increases according to the following function, where time, d, is measured in days:
[tex]B(d)=2425\ e^{0.15d[/tex]
[tex]3700= 2425\ e^{0.15d}\\\\\\e^{0.15d}=\dfrac{3700}{2425}\\\\\\0.15d=ln\dfrac{3700}{2425}\\\\\\[/tex]
d = 2.81 days
Hence the time taken by the bacteria to reach 3,700 will be 2.81 days.
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P(Head, Diamond AND Head, Heart) = ?
Using it's concept, it is found that the desired probability is given as follows:
P(Head, Diamond AND Head, Heart) = 1/64.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, for each trial, there are 8 equally as likely outcomes, hence:
P(Head, Diamond) = 1/8.P(Head, Heart) = 1/8.Hence the probability of both outcomes is given by:
P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.
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-5(8a - b) - 2(-6a + 9b)
Need answer plis
Will mark brainliest for right answer
NEED HELP ASAP!!! 50 POINTS Match the following items by evaluating the expression for x = -6.
x^-2
x^-1
x^0
x^1
x^2
Answer:
x^-2 = 1/36
x^-1 = 1/6
x^0 = 1
x^1 = -6
x^2 = 36
#1
(-6)^-21/(-6)²1/36#2
(-6)^(-1)1/(-6)#3
x^0(-6)⁰1#4
(-6)¹(-6)#5
(-6)²36What does paper folding have to do with exponents?
Answer:
See below
Step-by-step explanation:
If you take a whole sheet of paper and fold it in half, for instance, you will have 2 rectangles. If you fold it in half again, you will get 4 rectangles, and so on. Each time you fold by one-half, you keep doubling the amount of rectangles.
2. The annual cost of science club membership is $ 95. The cost
increases by $20 every year. How much will it cost in 9 years?
Answer:
275
Step-by-step explanation:
20 x 9 = 180
180 + 95 = 275
Write'15 cubed' as a power.
Answer:
[tex]15^{3}[/tex]
Step-by-step explanation:
[tex]15^{3} =(15)(15)(15)=3375[/tex]
Hope this helps
7. algebra sara allen is interested in buying a notebook
computer. if she buys the computer this week, she will
save $150.00 while it is marked down 16%. if she buys the
computer next week, she will pay the regular selling price.
what is the regular selling price?
A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the selling price of the computer notebook be represented by x.
Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.
Also, the saving she made by buying this week will be $150, therefore, we can write,
x-0.84x = $150
0.16x = $150
x = 937.5
Hence, the regular selling price of the computer notebook will be $937.5.
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What is the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth?
Step-by-step explanation:
first, draw a graph and subtract the nbers in brackets with the others. when done -6,-4 will help you solve the answer
The distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
Distance between two pointsThe formula for calculating the distance between two points is expressed as:
D = √(y2-y1)²+(x2-x1)²
Given the coordinate points X(−4,3) and Y(2,−7)
Substitute
XY = √(-7-3)²+(2+4)²
XY = √(-10)²+(6)²
XY = √100+36
XY = √136
XY = 11.7 units
Hence the distance between the points X(−4,3) and Y(2,−7) rounded to the nearest tenth is 11.7 units
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help me please i would pay you but i cant
Answer:
-3k + 10
Step-by-step explanation:
you have to combine -8 and 2 because they are like terms, but since -8 is being subtracted from -3k the minus sign and the negative sign basically combine to make a positive sign so it would make it -3k + 8 + 2 which gives you -3k + 10
Answer: Heyaa! ~
Your Answer is... − 3k+10
Step-by-step explanation:
Just Combine the terms! ^Hopefully this helps you! ~
Help me please I forgot how to do this
Please help l don’t understand
Based on the graph given, the two points that need to be plotted are (9, 4) and (7, 3).
How should a graph on Age v. Hours of TV watched be plotted?The points that are already plotted on the graph represent the results of the hours of television watched by children.
For instance, children of 6 years watched 2 hours of television. For that reason, the point where 6 (x axis) and 2 (y axis) meet on the graph is marked with an x.
The last two points would therefore be (9, 4) and (7, 3) to show that 9 year olds watch 4 hours of television and 7 year olds watch 3 hours of television.
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What is the surface area of the prism in square inches? A prism is made up of 3 rectangles and 2 triangles. A rectangle has a base of 14 inches and height of 8 inches. A rectangle has a base of 14 inches and height of 5 inches. A rectangle has a base of 14 inches and height of 5 inches. 2 triangles have a base of 8 inches and height of 3 inches. 60 square inches 168 square inches 276 square inches 304 square inches.
Answer:
c: 275
Step-by-step explanation:
Convert the angle to radians. leave as a multiple of pi.
324 degrees
a.
startfraction 8 pi over 5 endfraction
c.
startfraction 18 pi over 5 endfraction
b.
startfraction 9 pi over 5 endfraction
d.
startfraction 9 pi over 10 endfraction