Answer:
a pair of glasses costs $17
a hat costs $21
Step-by-step explanation:
h = hat
g = glasses
3h + 4g = 123
1h + 3g = 66
multiply the 2nd equation by 3
3h + 9g = 198
negate everything in the 1st equation and add it to the 'new' 2nd equation
3h + 9g = 198
+ -3h - 4g = -123
5g = 75
g = 15
substitute the 15 in either one of the 1st equations
1h + 3(15) = 66
h + 45 = 66
h = 66-45
h = 21
to check, substitute both g=15 and h=21 into BOTH 2 original equations.
you have 5 apples, multiply it by x, and get 1345. What is x?
Answer:
x = 269
explanation:
5 apples multiplied by x and equals to 1345solve:
5 * x = 1345
x = 1345/5
x = 269
Therefore x is 269.
note: changing sides changes multiplication(*) to division(/) and division(/) to multiplication(*).
Answer:
x = 269
Step-by-step explanation:
For this question, they are asking you to create a problem out of the information given. For this problem, we will require the use of division. Before we can solve, we need to create the problem first.
Because the problem says 5 multiplied by x, we have to multiply these two. (Important:) Anytime you are multiplying a coefficient (5 in this case) by a variable (x in this case) we have to put the coefficient in front of the variable, like this:
5x _ ___.
Now that we know that, the question states that this basically equals 1345. With that said, that just gave us the rest of the problem. Now let's put it together:
5x = 1345.
Now we can solve. To single out the variable (x) to find our answer, divide 5 into 1345:
5x = 1345
5 5
So, 1345 ÷ 5 = 269. After that, we are left with x and 269 (because the 5 was canceled out with the division). So, the answer is:
x = 269.
I hope that this helps.
PLEASE HELP IM BEGGING!!!!
Answer:
y = 28°
Step-by-step explanation:
The triangle is a right triangle which has 90 degrees.
The 3x falls under 90 degrees.
So:
→ 2y + 90° + 34° = 180°
→ 2y = 180° - 124°
→ 2y = 56°
→ y = 28°
Triangle
XYZ = right triangle
3x = 90°
X + Y + Z = 180°
34° + 3x + 2y = 180°
34° + 90° + 2y = 180°
2y = 180° - (34° + 90°)
2y = 56°
y = 28°
The trapezoids below are similar. Find z.
ratio remains same.
[tex]\\ \tt\longrightarrow \dfrac{2}{14}=\dfrac{7}{2z}[/tex]
[tex]\\ \tt\longrightarrow 4z=14(7)[/tex]
[tex]\\ \tt\longrightarrow 4z=98[/tex]
[tex]\\ \tt\longrightarrow z=98/4[/tex]
[tex]\\ \tt\longrightarrow z=24.5[/tex]
What is the value of the expression: 4(n+13) where n=5
45
235
72
41
Answer:
72
Step-by-step explanation:
=> 4(n+13)
putting the value of n which is 5
=> 4(5+13 )
=> 4(18)
=> 72
100 points once again, if you answer with nonsense I will report you:
Jackson made a drawing for his residence including a villa and a garden, as in the given figure. Using the scale drawing, what is the perimeter of the villa in real life?
Answer:
60 meters.
Step-by-step explanation:
Here the villa has length of 6 cm and breadth of 4 cm
Find perimeter using:
2(length + breadth)
2(6 + 4)
20 cm
Here in scale the drawing perimeter is 20 cm
3 meter = 300 cm ......this is for real.
1 cm here --> 20 cm
300 cm in real --> (20*300) cm
Real perimeter = 6000 cm
If 6000 cm converted to m:
(6000/100) = 60 meters.
Find perimeter using:
[tex]2(length + breadth)[/tex]
[tex]2(6+4)[/tex]
[tex]20 cm[/tex]
Here in scale the drawing perimeter is [tex]20 cm[/tex]
[tex]3 meter = 300 cm [/tex]
[tex]1 cm → 20 cm[/tex]
[tex]300 \: cm → (20×300) cm[/tex]
[tex]Real \: perimeter = 6000 cm[/tex]
If [tex]6000 \: cm[/tex]converted to m:
[tex](\frac{6000}{100}) = 60 \: meters[/tex]
Larry wants to buy a car cover for his vintage corvette. His car is 15 feet in length, but car covers are only sold in yards. Choose the cover that fits Larry's corvette best.
A) 3 yards
B) 5 yards
C) 7 yards
D) 45 yards
Answer:
5 yards
Step-by-step explanation:
15/3=5
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
6 yd
Answer:
Volume = 904.78 yards
Step-by-step explanation:
The formula for a sphere is:
V=4/3πr³
Since we already know that the radius is 3 yards and that π is 3.14 all we have to do is plug in the numbers.
V=4/3(3.14)(6)³
V=4/3(3.14)(216)
V=4.1897(216)
V≈904.78 yards
The base diameter and the height of a cone are both
equal to x units
Which expression represents the volume of the cone, in
cubic units?
Answer:
D
Step-by-step explanation:
V=(1/3)(pi)(r^2)(h)
=(pi/3)((x/2)^2)(x)
=(pi/3)(x^2/4)(x)
=x^3 * pi/12
Answer:
D
Step-by-step explanation:
One-twelfthπx3
Write an equation of a line that passes through -4, -4 and 4,4
Answer: y=x
Step-by-step explanation:
The slope is (y2-y1)/(x2-x1) = 8/8 = 1
Plugging it into the equation y = mx+b:
y = x + b
Plugging in one of the coordinates:
4 = 4+b
b = 0
Therefore, the equation of the line is y=x
If f(x) = x + 1 and g(x) = x^3, the function (fοg)(x) is:
Answer:
x³ + 1
Step-by-step explanation:
to evaluate (f ￮ g)(x) , substitute x = g(x) into f(x)
f(g(x) )
= f(x³)
= x³ + 1
Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = – 0.145t2 + 0.019t + 5.5. How many seconds will it take for the frisbee to hit the ground?
–6.2 seconds
–6.1 seconds
5.5 seconds
6.2 seconds
Answer:
6.2 seconds
Explanation:
Given function: h(t) = – 0.145t² + 0.019t + 5.5
Here h(t) which determines the height, when Frisbee touches the ground, the height shall be 0.
solve the quadratic equation:
using the formula: [tex]\left[\begin{array}{ccc} t = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\end{array}\right][/tex]
Solving steps:
→ –0.145t² + 0.019t + 5.5 = 0
→ [–0.145t² + 0.019t + 5.5 = 0 ]* 100
→ -145t² + 19t + 5500 = 0
→ [tex]t = \frac{ -19 \pm \sqrt{19^2 - 4 ( -145)(5500)}}{2(-145)}[/tex]
→ [tex]t_1=\frac{-19+\sqrt{3190361}}{2\left(-145\right)},\:t_2=\frac{-19-\sqrt{3190361}}{2\left(-145\right)}[/tex]
→ [tex]t = -6.09[/tex] , [tex]t = 6.2[/tex]
→ [tex]t = 6.2[/tex]
Time cannot be negative here.
So time taken: 6.2 seconds.
Answer:
D. 6.2 secondsStep-by-step explanation:
When the frisbee hits the ground, the value of h is zero.
Find the time required:
– 0.145t² + 0.019t + 5.5 = 0145t² - 19t - 5500 = 0t = (19 + √(19² + 4*145*5500))/290 = (19 + 1786,1)/290 = 6.2 seconds (rounded)Note, taking positive root only as time is never negativeAnyone please help me
Answer:
1. x = 56
2. y = 2
3. x = 6
4. y = 3
5. k = 10.2
6. w = 21
7. x = 72
Step-by-step explanation:
1. x + 4 = 60
x = 56
2. 3y - 2 = 4
3y = 6
y = 2
3. 3x - 7 = 11
3x = 18
x = 6
4. 5y + 3 = 18
5y = 15
y = 3
5. 3 + 6k = 64
6k = 61
k = 10.2
6. w ÷ 3 - 5 = 2
w ÷ 3 = 7
w = 21
7. x ÷ 8 + 3 = 12
x ÷ 8 = 9
x = 72
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Answer (a) :-[tex]\bold{\red{ x + 4 = 60 }}[/tex]
[tex]\sf{ x = 60 - 4 }[/tex]
[tex]\bold{ x = 56 }[/tex]
Hence , The value of x is 56 .
Answer ( b) :-[tex]\bold{\red{ 3y - 2 = 4 }}[/tex]
[tex]\sf{ 3y = 4 + 2 }[/tex]
[tex]\sf{ 3y = 6}[/tex]
[tex]\sf{ y = }{\sf{\dfrac{6}{3}}}[/tex]
[tex]\bold{ y = 2 }[/tex]
Hence , The value of y is 2 .
Answer ( c) :-[tex]\bold{\red{ 3x - 7 = 11 }}[/tex]
[tex]\sf{ 3x = 11 + 7 }[/tex]
[tex]\sf{ 3x = 18}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{18}{3}}}[/tex]
[tex]\bold{ x = 6 }[/tex]
Hence , The value of x is 6 .
Answer ( d) :-[tex]\bold{\red{ 5y + 3 = 18 }}[/tex]
[tex]\sf{ 5y = 18 - 3 }[/tex]
[tex]\sf{ 5y = 15}[/tex]
[tex]\sf{ y = }{\sf{\dfrac{15}{5}}}[/tex]
[tex]\bold{ y = 3 }[/tex]
Hence , The value of y is 3 .
Answer ( e) :-[tex]\bold{\red{ 3 + 6k = 64 }}[/tex]
[tex]\sf{ 6k = 64 - 3 }[/tex]
[tex]\sf{ 6k = 61}[/tex]
[tex]\bold{ k = }{\sf{\dfrac{61}{6}}}[/tex]
Hence , The value of k is 61/6 .
Answer ( f) :-[tex]\bold{\red{\dfrac{W}{3}}}{\bold{\red{ - 5 = 2 }}}[/tex]
[tex]\sf{\dfrac{W - 15}{3}}{\sf{ = 2 }}[/tex]
[tex]\sf{ W - 15 = 2}{\sf{\times{ 3 }}}[/tex]
[tex]\sf{ W - 15 = 6 }[/tex]
[tex]\sf{ W = 6 + 15 }[/tex]
[tex]\bold{ W = 21}[/tex]
Hence , The value of W is 21 .
Answer ( g) :-[tex]\bold{\red{\dfrac{x}{8}}}{\red{\bold{ + 3 = 12 }}}[/tex]
[tex]\sf{\dfrac{x + 24 }{8 }}{\sf{ = 12 }}[/tex]
[tex]\sf{ x + 24 = 12}{\sf{\times{ 8 }}}[/tex]
[tex]\sf{ x + 24 = 96 }[/tex]
[tex]\sf{ x = 96 - 24 }[/tex]
[tex]\bold{ x = 72 }[/tex]
Hence, The value of x is 72 .
70 PTS will mark brainly
This is Josh’s solution for the equation x^2-6x-7=0
x^2-6x-7=0
x^2-6x=7
x^2-6x+9=7+9
(x-3)^2=16
x-3=16
x=19
x-3=-16
x=-13
explain what mistake he made on step 5 which is x-3=16
Answer:
See below.Explanation:
easy way to solve:
[tex]x^2-6x-7=0[/tex]
[tex]x^2+x-7x-7=0[/tex]
[tex]x(x+1)-7(x+1) =0[/tex]
[tex](x-7)(x+1)= 0[/tex]
[tex]x = 7, -1[/tex]
Mistake:
In step 5,
Josh should have given:
[tex](x-3)^2=16[/tex]
[tex]x-3 = \pm \sqrt{16}[/tex] [ changing sides changes square sign to [tex]\pm[/tex] square root ]
[tex]x-3 = \pm 4[/tex]
[tex]x -3 = 4[/tex], [tex]x-3 = -4[/tex]
[tex]x = 7[/tex], [tex]x = -1[/tex]
Mathieu grows specialty tomatoes that are much larger than typical tomatoes. The distribution of their weights is strongly skewed to the left with a mean of 232g and a standard deviation of 12g. Suppose we were to calculate the mean weight from a random sample of 16 of Mathieu's tomatoes. We can assume independence between tomatoes in the sample.
What is the probability that the mean weight from the sample of 16 tomatoes x is within 6g of the population mean?
Answer:
We cannot calculate this probability because the sampling distribution is not normal.
Step-by-step explanation:
Since the parent population is not normally distributed, the small sample size will result in a sampling distribution that isn't normal.
A small college had 7,500 students enrolled in 2010, and the number of students enrolled has increased by 3% each year since. If f(n) represents the number of students enrolled n years after
2010, then which function best represents its value?
Answer:
7800
I already take a homework with this question
Can someone help me answer this please?
Answer:
105 minutes
Step-by-step explanation:
The pond is a prism. Its volume is the area of the trapezoidal base (the front and back faces) multiplied by the height (the 1 m edge).
Area of base of pond (front face) = (1/2)(B + b)h
Base = (1/2)(1.5 m + 0.6 m)(2 m) [Here, height is the height oif the trapezoid, so it is 2 m]
Base = 2.1 m²
Volume = Base × Height
Volume = 2.1 m² × 1 m [Here, height is the height of the prism, so it is 1 m]
Volume = 2.1 m³
The volume of the upper 30 cm (= 0.3 m) of the pond is:
V = LWH
V = 2 m × 1 m × 0.3 m
V = 0.6 m³
The volume of water decreased 0.6 m³ in 30 minutes.
In 60 minutes, it would decrease by 1.2 m³.
60 minutes = 1 hour
The flow rate is 1.2 m³ / hour.
The total volume of the pond is 2.1 m³.
Emptying out the pond completely means removing 2.1 m³ of water at the flow rate of 1.2 m³/hour.
flow rate = volume/time
time × flow rate = volume
time = volume / flow rate
time = 2.1 m³ / 1.2 m³/hour = 1.75 hour
time = 1.75 hour × 60 minutes/hour = 105 minutes
Answer: 105 minutes
Awnser down below!
⬇ ⬇ ⬇
Answer:
1. 103
2. 156
3. 114
4. 115.14
5. 140
6. 123.8
7. 120.28
8. 107
Step-by-step explanation:
Answer:
hope it helps you :)) !
Austin surveys 60 women in an apartment building to determine the most preferred form of exercise they perform on a regular basis. he tabulates the results as shown
Solve these equations
1. 3x^2-16x-10=-15x
2. (3x - 7)(2x + 5) = 0
3. 2x + 5 - 3x = 4x + 17 + x
4. x^2 - 49 = 0
5. x^2 + 8x + 12 = 0
6. 0= (2x^2 - 3x + 5) - (x^2 + x + 37)
7. 12x^2 + 4x - 1
8. x^2 - 7x + 12
9. 6x^2 - 3x - 3
Answer: 1. x=2,-5/3
Step-by-step explanation:
i need help with math asap
[tex]\huge\blue{\mid{\fbox{\tt{\:ANSWER\:}}\mid}}[/tex]
[tex]y=-2x[/tex]____________________
The graph,
In one U.S. city, the taxi cost is $5 plus $0.90 per mile. If you are traveling from the airport, there is an additional charge of $3.50 for tolls. How far can you travel from
the airport by taxi for $40.00?
Answer:
35 miles
Step-by-step explanation:
At the start, you lose $8.5 for tolls and the taxi cost.
You're left with $31.5 after that, every mile costs you $0.9, so you can go 31.5 : 0.9 = 35 miles.
What is the fraction of 1/2+1/3=
Answer: [tex]\frac56[/tex]
Work Shown:
[tex]\frac{1}{2}+\frac{1}{3}\\\\\frac{3}{6}+\frac{2}{6}\\\\\frac{3+2}{6}\\\\\frac{5}{6}\\\\[/tex]
To visualize this, cut up a circle into 6 equal pieces.
3 of those pieces represent half the circle (3/6 = 1/2)
2 more pieces represent one third (2/6 = 1/3)
We have 3+2 = 5 pieces out of 6 total. This is visual confirmation that 1/2 + 1/3 = 5/6
What is the answer
7a-9b+6a-4b
Im having problems with this and need an answer with explanation if is positive maybe that way can be more easy to understand
Which is greater 24.005 or 24.05
Answer:
24.05
Step-by-step explanation:
24.005 has more numbers but worth less
24.05 is more
In the figure shown below, the area of the large rectangle is (5x)(8x + 1) and the area of
the small rectangle is (4x)(2x), which of the following expressions represents the area of
the shaded region?
HELP
Answer:
ok so the shaded area will be the larger rectange minus the smaller one so lets find the area of both by multiplying the sides
(5x)(8x+1)=40x^2+5x
(4x)(2x)=8x^2
so
40x^2+5x-8x^2
32x^2+5x or
x(32x+5)
so a
Hope This Helps!!!
Drag each value to the correct location on the table.
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
3\/101
\/90
3\/90
3\/20
\/20
\/7
8\/800
Between 2 and 3
Between 4 and 5
Between 9 and 10
PLEASE HELP!!!
james has 202 cookie his friend wanted 132 cookies how much is the amount?
Find the factored form of the expression.
3x^2 + 300 = 0
Answer:
x = 10i - 10i
Step-by-step explanation:
3x^2 + 300 = 0
3(x^2 + 300) = 0
x^2 + 100 = 0
x^2 = -100
x = -100 (sqr root)
x = 10i - 10i
Hope this is more of the answer you where looking for.
Answer:
10
Step-by-step explanation:
it just is
Roger pays $2,240 in rent every month. This amount is $180 more than four times what his brother Raul pays for rent. How much does Raul pay for rent?
If point A, shown on the coordinate plane below, is reflected over both axes to create A’, what will be the coordinates of A’?
(-6, 3)
(-6, -3)
(6, -3)
(6, 3)
Answer:
(c) (6, -3)
Step-by-step explanation:
Reflection over both axes is the same as reflection across the origin, or rotation 180° about the origin. It has the effect of negating both coordinates:
(x, y) ⇒ (-x, -y) . . . . . reflection over both axes
The coordinates of A are (-6, 3), so the coordinates of A' will be ...
A(-6, 3) ⇒ A'(6, -3)