Answer:
u=7
Step-by-step explanation:
First, add 4u and 3u because they are like terms.
7u+21=70
Second, subtract 21 from both sides.
7u=49
Finally, to isolate the variable divide 7 from both sides.
u=7
Jessica measured the amount of precipitation that fell during a week. She determined that 13 centimeters of rain fell. Actually, though, 12 centimeters of rain fell during that week. To the nearest tenth of a percent, what is the percent error of Jessica's measurement?
Answer:
8.3%
Step-by-step explanation:
The formula for Percentage error is given as:
|Measured value - True value|/True value × 100
The measured value = 13cm
The true value = 12cm
Hence:
Percentage error = |13 cm - 12cm|/12 cm × 100
= 1/12 × 100
= 8.3%
The percent error of Jessica's measurement is 8.3%
Jamie bought a handbag for 20$, an umbrella for $5.99, and a scarf for $8.50. If the sales tax rate is 7% how much is the sales tax and the total cost of her purchase
Answer: $36.9043
Step-by-step explanation:
Given that :
Cost of handbag = $20
Cost of umbrella = $5.99
Cost of scarf = $8.50
Sales tax = 7% = 0.07
Sales tax = 0.07 * (20 + 5.99 + 8.50)
Sales tax = 0.07 * 34.49
Sales tax = $2.4143
Total cost of purchase :
Sales tax + cost of items
$2.4143 + $34.49
= $36.9043
Help pls 6th grade math i will give brainliest
Answer:
G because y+y+y is the exact same as 3 y
Jonathan bought a box of stamps to start a collection. He has purchased the same number of stamps each week to add to the collection. The graph
shows the number of stamps Jonathan has at the end of each week. How many stamps were in the box Jonathan bought to start his collection?
Assume that the relationship between the two quantities is linear.
A. 216
B. 120
C. 96
D. 12
Answer:
120
Step-by-step explanation:
its where the graph starts
Photo is attached I need to solve for x and y please help me
Find the inverse if f(x)=6(x+7)
Answer:
y=1/6 x -7
Step-by-step explanation:
it's easier to just substitute y w/x, and vice versa
x=6y+42
x-42=6y
A recipe for apple cider cause for 4 cups of apple juice and 3 cups of water what equation can we use to find extra percent of apple juice in the recipe
Answer:
% Apple juice = [tex]\frac{4}{7}[/tex] × Y × 100.
Step-by-step explanation:
Given:
Ratio of apple juice to water = 4 : 3 = Y i.e 4+ 3 = 7
To find the exact % of apple juice used in recipe, we use the ratio of juice to water provided, given Y as any amount of apple cider.
∴ equation [tex]\frac{4}{7}[/tex] × Y = amount of apple juice.
for percentage, [tex]\frac{4}{7}[/tex] × Y × 100 = amount of apple juice.
Proof:
In 200ml apple cider, amount of apple juice present
= 4/7 × 200 = 114.2ml of juice
To make upto 00ml cider, add (200-114.2)ml of water.
I hope this was helpful.
Please help me with this math problem if you can. You just say yes or no if it’s a square, rectangle, etc. and then give the reason why
Answer:
Step-by-step explanation:
B) rectangle because the diagonals are congruent
C) Diamond so no it isn't a square or rectangle due to no 90 degree angles
D)Square because the diagonals are perpendicular and congruent
What is the slope of the line?
4x -1 = 3y + 5
Choose 1 answer:
Answer:
The slope is 4/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
rearrange into slope-intercept form
3y=4x-6
y=4/3x-2
Suppose that a school of 452 students is having a debate about gun control, and the students were asked to vote. The results show that 67 percent are in favor of banning guns, and 26 percent are against banning guns. The remaining students chose not to voice their opinions. How many students didn't voice their opinions? Round your answer to the nearest whole number?
Answer: 32
Step-by-step explanation:
Total number of students = 452
Students in favor of banning guns = 67%
Students against banning guns = 26%
Students who didn't voice their opinions = 100% - (67% + 26%) = 100% - 93% = 7%
The number of students who didn't voice their opinions would be:
= 7% × 452
= 0.07 × 452
= 31.64
= 32 to nearest whole number
bac
4. Jim has the following cell phone plan.
• Weekday calls cost 10 cents per minute.
• Weekend calls are free.
• Each text message costs 5 cents.
Each month, Jim talks for m minutes on weekdays and f minutes
on weekends, and sends t texts. Which equation represents
Jim's monthly cell phone bill, C?
A.
C = 0.10m - 0.051
B.
C = 0.10m - 0.5t
nents
C.
C = 0.10m - 0.10f-0.10
D
('= 0.10m - f-0.057
calculate the rate of change
a cell phone company charges one $20 for the phone and then $35 a month for phone service another cell phone company charges 55 a month for phone service with a free phone after how many months will the phone services cost the same
Please help me on these 4 !
-7w²+2w if w=-4 i need the answer please!!!!!!!!!!!!!!
Answer:
-6,272
Step-by-step explanation:
-7 times -4 equals 28
28 to the power of 2 is 784
2 times -4 equals -8
-8 times 784 equals -6,272
what is 8029 times 89810
Answer:
721084490
Step-by-step explanation:
Find the domain and range of the function {(1,2) , (2,2) , (3,2) , (4,2)}
Answer:
Step-by-step explanation:
X-coordinates are domain and y-coordinates are range
Domain= {1,2,3,4}
Range= {2}
Answer:
domain: 1,2,3,4. range:2
Step-by-step explanation:
domain is the input aka the x- values, and the range is the output aka the y-values
The region R, shown shaded in the diagram, is bounded by four straight lines.
Write down the inequalities that define R.
for some reason i can’t remember how to do this (might be because i’m tired but i’m on my last homework question), can anyone help?
9514 1404 393
Answer:
1 ≤ y ≤ 30 ≤ x ≤ 2Step-by-step explanation:
The boundaries in the vertical direction are the horizontal lines ...
y = 3 (top boundary)
y = 1 (bottom boundary)
The shaded region is between these lines, so y has values described by ...
1 ≤ y ≤ 3
__
The boundaries in the horizontal direction are the vertical lines ...
x = 0 (left boundary)
x = 2 (right boundary)
The shaded region is between these lines, so x has values ...
0 ≤ x ≤ 2
These are your inequalities.
_____
If you're plotting this on Desmos, you can use the relation ...
max(abs(x-1), abs(y-2)) ≤ 1
Choose all the problems that you will solve by regrouping. A. 65 – 56 = ? B. 28 – 15= ? C. 16 – 6 = ? D. 74 – 38 = ?
Answer:
(a) and (d) will be done by regrouping
Step-by-step explanation:
Solution will be done by regrouping if unit term of term which is subtracted is greater then the term which subtracts.
(a) 65 -56, since the unit term of 65 is 5 and of 56 is 6
as the unit terms of 56 is greater than unit term of 65
Thus solution will be done by regrouping
⇒ 65 -56 = 9
(b) 28 -15, since the unit term of 28 is 8 and of 15 is 5
as the unit terms of 28 is greater than unit term of 15
Thus solution will not be done by regrouping
⇒ 28 -15 = 13
(c) 16 -6, since the unit term of 16 is 6 and of 6 is 6
as the unit terms of 16 is equal to unit term of 6
Thus solution will not be done by regrouping
⇒ 16 -6 = 10
(d) 74-38 , since the unit term of 74 is 4 and of 38 is 8
as the unit terms of 38 is greater than unit term of 74
Thus solution will be done by regrouping
⇒ 74-38 = 36
Functions f(x) and g(x) are composed to form h(x) = sqrt(x ^ 3- 2) if f(x) = sqrt(x + 2) and g(x) =x^3+a. What is the value of a
Answer: a = -4
Step-by-step explanation: Function Composition is when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the result of one function into the other one.
In this situation,
h(x) = f(g(x))
which means
h(x) = f(x³+a)
h(x) = [tex]\sqrt{x^{3}+a+2}[/tex]
[tex]\sqrt{x^{3}-2} =\sqrt{x^{3}+a+2}[/tex]
Now, to find a, we separate equal terms:
1) Both are squared, so we can "eliminate" the square;
2) x³ = x³;
3) [tex]-2=a+2[/tex]
[tex]a=-4[/tex]
For function composition h(x) = f(g(x)), the value of a is -4.
Answer:-4 or D
Step-by-step explanation:
90 coins
Use the original price and the markup to find the retail price.
Original price: $50; Markup: 15%
The retail price is $ ?
Answer:
50 + 50(.15)
50(1+ .15)
50(1.15)
RP= $57.5
Step-by-step explanation:
find an equation in standard form of a parabola passing through the points below
(1,-1),(5,31),(6,44).
Answer:
Basic parabola: y = ax2 + bx + c
We have 3 points we can plug in for (x, y) to create 3 simultaneous equations
(-2, 24): 24 = 4a - 2b + c {equation 1}
(3, -1): -1 = 9a + 3b + c {equation 2}
(-1, 15): 15 = a - b + c {equation 3}
Solve this system to find the values of a, b, c
Let's first eliminate variable c:
4a - 2b + c = 24 {equation 1}
a - b + c = 15 {equation 3}
--------------------- subtract
3a - b = 9
9a + 3b + c = -1 {equation 2}
a - b + c = 15 {equation 3}
-------------------- subtract
8a + 4b = -16
We now have two equations with 2 unknowns we can use to find a, b
3a - b = 9 {equation 4}
8a + 4b = -16 {equation 5}
Multiply equation 4 through by 4 and add equations
12a - 4b = 36
8a + 4b = -6
----------------- add
20a = 30
a = 30/20
a = 3/2
8a + 4b = -6
8(3/2) + 4b = -6
12 + 4b = -6
4b = -6- 12
4b = -18
b = -18/4
b = -9/2
Plug these 2 values into one of the original equations and solve for c
15 = a - b + c {equation 3}
15 = 3/2 + 9/2 + c
15 = 12/2 + c
15 = 6 + c
c = 15-6
c = 9
y = (3/2)x2 - (9/2)x+ 9
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Step-by-step explanation:
what is the ratio of y to x
Answer:
5:2
Step-by-step explanation:
3) Angela has 37 coins in dimes and nickels. She has a total of $3.30.
a) Write the system of 2 linear equations.
b) How many dimes does Angela have?
c) How many nickels does Angela have?
Answer:
hmmmmm b
Step-by-step explanation:
Find the value of X!!!!!!!!
HELP MEEEEEEEEEEEE PLZ
Answer:
The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
1. f(x) = 4x + 3x3
Is this a monomial,Binomial, or Trinomial
Answer:
It is a monomial
Step-by-step explanation:
4x+3x3=4x+9.
There is one variable the first power so therefore, it is a monomial.
Beth adopted a kitten from the animal shelter. The adoption fee was $150. She also bought 4 bags of cat food on the way home. The total amount she spent was $185.84. What was the price for each bag of cat food
Answer:
$8.96
Step-by-step explanation:
total amount spent minus adoption fee is $35.84
divide this by the number of bags which is 4, your answer is $8.96
A square picture has a border 5 cm
wide. The picture area is 4/9 of the total
area. Find the area of the picture.
Answer:
So area of square is: a^2
5^2=25cm^2
4/9 x 25 = 100/9
Area of picture is: 11.11 cm^2
Step-by-step explanation:
The area of the square will be equal to 11.11 square centimetres.
The space covered by the two-dimensional object on a plane is called as an area. The space covered by the square in a two-dimensional plane is called the area of the square.
The square is a quadrilateral having four sides and all the sides of the square are equal to each other.
The the area of the square is calculated as,
a² = 5²=25 cm²
The picture area is 4/9 of the total
area.
4/9 x 25 = 100/9
The area of the picture is: 11.11 cm²
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The image of the point (-8, 3) under a translation is (-5,2). Find the coordinates
of the image of the point (9,9) under the same translation.
Answer:
IMAGE=OBJECT +TRANSLATION
The coordinates are (12, 8).
What is translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.
Translation is one of the transformations in math. When a shape has been transformed, the original shape is called the preimage and the vertices are usually labeled using uppercase letters (Example: ABCD). The translated shape is called the image and the vertices are labeled using uppercase letters with a “prime” next to each (Example: A′B′C′D′, and is pronounced “A-prime, B-prime, C-prime, D-prime”).
Given:
the point is (-8, 3) whose image point is (-5, 2)
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (9, 9) = (-5, 2) -(-8, 3)
X = (-5, 2) -(-8, 3) +(9, 9) = (-5+8+9, 2-3+9)
X = (12, 8)
Hence, the point is (12, 8)
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