Answer:
6
Step-by-step explanation:
Daniel bought 3 comic books at the bookstore. He spent $8.33 on the first book and $7.33 on the
second book. He spent a total of $24.69 on all three books.
How much did Diego spend on the
,
third book?
Answer:
The third book cost $9.03
Step-by-step explanation:
Answer:
the 3rd book is 9.03
Step-by-step explanation:
all you have to do is add 8.33 + 7.33 and thate 15.66 so 24.69 - 15.66 is 9.03
The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.
Answer: -10
Step-by-step explanation:
If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.
What’s 4x4x2-4 in a fraction over 2
The result as a fraction of 2 will be 58/2
What are fractions?Fractions are ratio of two integers. For instance, the ratio of a to b is expressed as a/b
Given the expression 4x4x2-4, this can be further expressed as:
4x4x2-4
= (4^2*2) - 4
= (16 * 2) - 4
= 32 - 4
= 28
Expressing the result as a fraction of 2 will be 58/2
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The given expression represents the area. Find the side length of the square.
9514 1404 393
Answer:
(4x +5)
Step-by-step explanation:
The square of a binomial is ...
(a +b)² = a² +2ab +b²
We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:
√(16x²) = 4x
√25 = 5
So, our first choice of side length for the square is ...
s = (4x +5) . . . . . side length of the square
__
Using the above identity, we can verify that the square of this gives the right area:
A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²
A = 16x² +40x +25 . . . . . . as required
Richard's cumulative GPA for 3 semesters_ was 2.0 for 42 credits. His fourth semester GPA was 4.0 for 14 course units. What is Richard's cumulative GPA for all 4 semesters
Answer:
Richard's cumulative GPA = 2.5
Step-by-step explanation:
Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.
Average = 2
Total credits = 42
Average = sum of terms/total no of terms
2 = sum of terms/42
sum of terms = 84 ....(1)
His fourth semester GPA was 4.0 for 14 course units
Average = 4
Total credits = 14
sum of terms = 56 .....(2)
Average for 4 semesters,
[tex]A=\dfrac{84+56}{42+14}\\\\A=2.5[/tex]
Hence, Richard's cumulative GPA for all 4 semesters is 2.5.
which property is this example (1+2)+3=1+(2+3)
Answer
Associative property of addition
Step-by-step explanation:
List the first six prime numbers
Answer:
2,3,5,7,11,13
Step-by-step explanation:
the prime divisors of 10 are 2 and 5.
while the first six prime numbers are 2,3,5,7,11,13
what is the area of this figure
enter your answer in the box
__ units2
Answer:
44
Step-by-step explanation:
Well if you see the picture
triangle 1 has an area of
[tex]\frac{3*4}{2}=6[/tex]
triangle 2 has an area of
[tex]\frac{3*4}{2}=6[/tex]
rectangle 3 has an area of
[tex]8*3=24[/tex]
and triangle 4 has an area of
[tex]\frac{2*8}{2}=8[/tex]
if we add then up
[tex]6+6+24+8=44[/tex]
Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast (in ft/min) is the height of the pile increasing when the pile is 15 ft high? (Round your answer to two decimal places.)
Answer:
The height of the pile is increasing at a rate of 1.78 ft/min
Step-by-step explanation:
As we can see, we have the rate at which the volume is increasing
Mathematically, the volume of a cone can be calculated by the formula;
1/3 * π * r^2 * h
but here, we are dealing with base diameter which is d
and r is d/2
So we have the formula as;
1/3 * π * (d/2)^2 * h
since h is same as d for this particular cone, we can replace d with h so that we now have;
1/3 * π * h^3/4
= πh^3/12
what we have in the question is dv/dt
what we want to calculate is dh/dt
Mathematically;
dh/dt = dh/dv * dv/dt
dh/dv is 1/dv/dh
dv/dh = πh^2/36 where h = 15
dv/dh = 225 π/36
dh/dv is now;
36/225π
So, finally;
dh/dt = 36/225 π * 35
dh/dt = 1.78 ft/min
Choose the inequality that represents the following graph.
Answer:
0>0
Step-by-step explanation:
find x using the ratio of the sides 12 cm and 16cm
Answer:
the ratio of the following x is 3/4
Does anyone know what is -17+8y=2x?
Which of these angles are the alternate interior angles theorem?
ECA = BAD
CAE=BAD
ECA=BDA
ECA=DBA
Answer:
C. ECA = BDA
Step-by-step explanation:
An angle is said to be produced whenever two or more lines meet at a point. An interior angle is an angle form within two lines meeting at a point. Then, alternate interior angles are internal angles that are equal due to alternate theorem. These angles should have equal measures.
From the given question, the alternate interior angles by the theorem is;
ECA = BDA
By the alternate interior angle theorem, the alternate interior angles are ECA and BDA. This implies that the measure of <ECA should be equal to the measure of <BDA.
Math Problem again will mark brainliest.
Answer:
The answer to this problem would be A.
Step-by-step explanation:
For childcare facilities for each visit is $9, we would say 9x because we dont know the exact amount of time that she visits the gym with her child. Her monthly gym bill is $32 which would ve added to the amount she would pay for childcare. The sum of it all should be less than or equal to that of $122.
Answer:
A. 9x + 32 ≤ 122
Step-by-step explanation:
$32 is the fixed monthly due
$9 everytime she uses childcare
$122 is the maximum she wants to spend This month.
32 + 9x ≤ 122
The lines represented by the equations 15y + 10x = -60 and y
- x – 5 are
neither parallel nor perpendicular
Submit Answer
parallel
perpendicular
the same line
Answer:
they are not the same line, nor are they parallel or perpendicular
Step-by-step explanation:
they are two distinct lines and intersect at (-5.4, -0.4) if graphed
If you put each equation into slope-intercept form you can compare slopes to determine if they are parallel (slopes would be the same) or perpendicular (slopes would be opposite signs and reciprocals)
Please Help me I really need help
Answer:
2
Step-by-step explanation:
A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters. Compute the p-value for testing whether the population mean is larger than 6 centimeters.
Answer:
0.0239
Step-by-step explanation:
[tex]H_0;\mu=\sigma[/tex]
[tex]H_a;\mu>6[/tex]
[tex]\bar{x}=6.08[/tex] = Mean
[tex]s=0.44[/tex] = Standard deviation
[tex]n=121[/tex] = Sample size
Test statistic is given by
[tex]\dfrac{\bar{x}-\mu}{\dfrac{s}{\sqrt{n}}}=\dfrac{6.08-6}{\dfrac{0.44}{\sqrt{121}}}\\ =2[/tex]
From T table we know it is a right tailed test.
Degree of freedom = [tex]n-1=121-1=120[/tex]
[tex]P(t>2)=1-P(t<2)\\\Rightarrow P(t>2)=1-0.9761\\\Rightarrow P(t>2)=0.0239[/tex]
Hence, p-value is 0.0239.
I'll mark brainly for who ever answers
Answer:
B
Step-by-step explanation:
Let the width be x, and the length be y
xy = 50
y = 2x
2x^2 = 50
x^2 = 25
x = 5
y = 10
3*8 = 24
Answer:
B
Step-by-step explanation:
Let the width be x, and the length be y
xy = 50
y = 2x
2x^2 = 50
x^2 = 25
x = 5
y = 10
3*8 = 24
The value of a video game decreased by 30%. If the original cost was $45.00, what is the current value of the
video game?
Answer:
$31.50
Step-by-step explanation:
If the value fell by 30%, then the game is worth 70% of its' original value. So:
45 x 70%=45 x .7=31.5......................
PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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Round 3,511.1 to the nearest ten.
Answer:
3,510
Step-by-step explanation:
3,511.1 is closer to 3,510 than it is to 3,520
A type of new car loses 20% of its value in its first year.
It loses 15% per year in every year after the first. Graham buys one of these new cars.
Work out the percentage of its value that it has lost after five years.
Give your answer to the nearest whole number.
Answer:63%
Step-by-step explanation:
if 2years=25%loss
Then 5years=5/2×25%
=62.5%~63%
Answer:
After a year, your car's value decreases to 81% of the initial value. After two years, your car's value decreases to 69% of the initial value. After 3 years, your car's value decreases to 58% of the initial value.
the graph of a quadratic function is shown on the grid. which function is the best represented by this graph?
Answer:
Step-by-step explanation:
It is H
Function for the graph of the parabola given in the picture attached will be Option (H). f(x) = x² - 6x
Equation of a parabola in vertex form: Equation of a parabola in vertex form is given by,
y = a(x - h)² + k
Here, (h, k) is the vertex of the parabola
Given in the graph,
Vertex of the parabola → (3, -9) Parabola passes through the origin (0, 0).Equation of the graph with vertex (3, -9) will be,
y = a(x - 3)² - 9
Since, the parabola passes through (0, 0),
0 = a(0 - 3)² - 9
0 = 9a - 9
a = 1
Substitute the value of 'a' in the equation of the parabola,
y = 1.(x - 3)² - 9
y = x² - 6x + 9 - 9
y = x² - 6x
Hence, the function representing the graph will be f(x) = x² - 6x
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Help ASAP Please
t=[tex]\frac{(y+v)r}{7}[/tex]
solve for R
Answer: (7t)/(y+v)
All work is in the picture below:
When Ryan started a daily exercise routine, he lost
18% of his weight. He now weighs 180.4 pounds.
of What was Ryan's weight before he began to exercise?
Please help me and show your work on how you got it so I can learn please):!
UMM SOMEONE CAN HELP ME I need to do this using the distributive property and collecting like terms.
8 − 4 ( 1/8r −3 1/2
ZA and ZB are complementary angles. If m_A= (7x + 28)° and m
ZB = (8x + 2)°, then find the measure of ZA.
Answer:
mA=56 degrees
Step-by-step explanation:
Complementary angles adds up to 90 degrees. This imply that
[tex](7x+28)+(8x+2)=90[/tex]
From this equation, we can find x:
[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]
Now, we can substitute the value for x into the angle mA:
[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]
The graph of the equation x = 8 is what type of line
line.
Answer: Vertical Line
Step-by-step explanation:
Solve the following equations all of six
Answer:
First one x=2 y=7 (2,7)
second one top right x=-2
Mid left: x=-5 and y=9 (-5,9)
mid right: x=4 and y=−1 (4,-1)
Bottom left: x=6 and y=−2 (6,-2)
Bottom Right: x=−4 and y=−5 (-4,-5)
Step-by-step explanation:
IM GOING LEFT TO RIGHT FROM UP TO DOWN
1. 2x+y=11
7x=14
rewrite them like this
7x=14;2x+y=11
solve for 7x=14
7x=14
x=2
Substitute 2 for x in 2x+y=11
(2)(2)+y=11
y+4=11
y=7
2. −7x=14;9x+8y=6
9x+8y=6
-7x=14
fist solve for x
x=-2
Then substitute in first equation
y=3
3. 6x+4y=6;3x=−15
6x+4y=6
3x=-15
solve for x
x=-5
Then plug in and solve
(6)(−5)+4y=6
4y=36
y=9
4. 7x+4y=24;4x=16
same process solve for x and plug in
x=4 and y=−1
5. 5x+8y=14;4x=24
same process
x=6 and y=−2
6. x-5y=21;-6x=24
same process solve for x and plug it in
x=−4 and y=−5
Hope this helps
The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conclusion is true about the triangles?
They are congruent by the definition of congruence in terms of rigid motions.
They are similar by the definition of similarity in terms of a dilation.
The ratio of their corresponding sides is 1:3
The ratio of their corresponding angles is 1:3.
Answer:
B
Step-by-step explanation:
They are similar by the definition of similarity in terms of a dilation.
What is similarity in terms of dilation in Mathematics?Two figures must have congruent (equal) comparable angle measures and proportional sides in order to be considered similar. Dilations produce comparable numbers because adding the scale factor produces proportional sides while keeping the angle measurement and form constant.
Given
In GHI ,
GH = 3cm [using distance formula]
HI = 5.65 cm
GI = 6 c
In JKL,
JK = 2.2361 cm
KL = 2.8284 cm
JL = 3 cm
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