Answer:
$68.40
Step-by-step explanation:
Let x represent the required cost.
Since the number of toys is directly proportional to the cost:
x : $20.52 = 120 : 36
i.e. x/$20.52 = 120/36
x = ([tex]\frac{120 * $20.52}[/tex])/36
x = $2462.40/36
x = $68.40
Hope this helps!!!
Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban
en zonas urbanas. Calcule mediante procedimiento matemático la población total y la
población rural para la misma época.
Answer:
zonas urbanas => 30 % de la poblacion => 700 millones
poblacion total => 100 % de la poblacion => x => 2333.3 millones
poblacion rural => 70% de la poblacion => x - 700 => 1633.33 millones
[tex]x = \frac{700 \times100}{30} =2333.3[/tex]
[tex]x-700=2333.3-700=1633.33\\[/tex]
What is the contrapositive of the conditional statement? If two variables are directly proportional in the graph is a linear function
Pedro runs 9/10 of q mile each day how many miles does Pedro run in 6 days
Answer: 1.35 miles
Step-by-step explanation:
9/10th of quarter mile = 9/40
For 6 days
9/40 x 6 = 27/20 = 1.35 miles
What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
10q - 30 is equivalent to?
Answer:
So in this question im guessing you simplify with parenthesis
Since its too easy, I cant really explain, but heres the answer:
(q+3)*10
the are of one of the bases of the figure shown above is about 21.2 cm sq. What is the surface area, in cm sq, of the figure? round your answer to the nearest tenth 9,7,7,7 cm
Answer:
105.4
Step-by-step explanation:
I got the answer wrong when I answered 95 for some reason and it told me. the answer was 105.4
The surface area is 105.4 square centimeters.
What is surface area?A surface area formula is a mathematical approach to discovering the total place of any 3-dimensional object occupied by means of all of its surfaces.
what are surface area examples?The surface area is the overall location blanketed by way of all of the faces of a 3-d item. For an instance, if we need to discover the quantity of paint required to paint a dice, then the surface on which the paint can be carried out is its floor place. it is continually measured in rectangular units.
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A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?
Answer:
30%
Step-by-step explanation:
Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answer:
B
Step-by-step explanation:
A function cannot have more than one point on the same x coordinate. So, B is the only option that works.
What is the slope of the line that contains the points (-32, 23) and (-32, -19)?
Answer:
undefined
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/ (x2-x1)
= ( -19 -23)/(-32 - -32)
= 42 / 0
Dividing by zero gives us an undefined answer so the slope is undefined
Brenden bought 20 bananas and apples, at $1.20 per banana and
$1.40 per apple. The total cost was $26.
How many bananas and apples did he buy, respectively?
Answer:
hey so im guessing its 10 bananas and 10 apples
Step-by-step explanation:
1.2x 10=12
1.4x10= 14
12+14=26
If mr. burts spent $3.87 on grapes from kroger and bought 3.05 pound,How much was each pound? A)1.25 B)$2.80 C)$ PLZ HURRY
Answer:
A) $1.25
Step-by-step explanation:
If you divide the 3.87 by 3.05 you will approximately get 1.25
evaluated 5x - (x + 3)2 for x = 2,
Answer:
0
Step-by-step explanation:
5x - (x+3)2
5x - (2x+6)
5x - 2x -6
3x - 6
3(2) - 6
6 - 6
0
How do I find the arc of a circle?\
Answer:
Step-by-step explanation:
Step-by-steP
LA FÓRMULA ES:
arc = πrΘ/180
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
In the 30-60-90 triangle below, side s has a length of ____ and the
hypotenuse has a length of
Answer:
D
Step-by-step explanation:
1×2=2
1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]
The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.
We know that, tanθ=Opposite/Adjacent
So, tan30°=1/s
1/√3 = 1/s
s=√3
We know that, sinθ=Opposite/Hypotenuse
sin30°=1/h
1/2 = 1/h
h=2
Therefore, option D is the correct answer.
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What is the solution set of the quadratic inequality 6x^2+1≤0?
Answer:
Ss={}
Step-by-step explanation:
6x^2+1<or=0
6x^2<or=-1
x^2<or=-1/6
x<or=root-1/6
There is no number that satisfiey this equation
SS={}
Answer:
no solution
Step-by-step explanation:
What is the probability of Sunday following Saturday this week?
Answer:
certain
Step-by-step explanation:
the probability called certain means that is will occur or it's probability is 1
Answer:
Certain or 1/1 - 2/2 - 3/3 - 4/4 ect.
Step-by-step explanation:
Unless the world ends on Saturday (which is looking more and more certain as the year goes on) Sunday will follow after it the next day.
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2?
Answer:
[tex]2. m\angle H+m\angle J +m\angle K =180^{\circ}[/tex]
Reason: the sum of all interior angles of any triangle is equal to 180º.
Step-by-step explanation:
1) Organizing
Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given
2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:
[tex]S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}[/tex]
3) We can also say
[tex]m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}[/tex]
Similarly to the other triangle:
[tex]m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}[/tex]
4) Hence,
[tex]2. m\angle H+m\angle J +m\angle K =180[/tex]
Reason: The sum of interior angles is equal to 180º.
Answer:
B
Step-by-step explanation:
solve for x
5(x-10)=25
i need help ASAP
Answer:
x = 15
Step-by-step explanation:
Given
5(x - 10) = 25 ( divide both sides by 5 )
x - 10 = 5 ( add 10 to both sides )
x = 15
Answer:
x=15
Step-by-step explanation:
[tex]5\left(x-10\right)=25[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5\left(x-10\right)}{5}=\frac{25}{5}\\x-10=5\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\x-10+10=5+10\\x=15[/tex]
The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?
Answer:
18 x, 36y.
Step-by-step explanation:
18x, 36y.
The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?
So y: 2x (since its double the x)
So
2x = 4x - 36
Doing the math....
18x. since y= 2*x, 36y.
(I got help for this one, credits to jess :) )
hope this helps! :)
The value of X is 18.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio of X and Y = 1 : 2
This means,
X/Y = 1/2
X = x
Y= 2x
Now,
y = 4x - 36
From (2),
2x = 4x - 36
36 = 4x - 2x
36 = 2x
x = 18
Now,
From (1),
X = x = 18
Thus,
The value of X is 18.
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Please answer this it's pre-algebra I will give brainliest and thanks
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
14 4 point questions and 26 2 point questions
Step-by-step explanation:
i just know
pls help me 13 minute left 10 POINTS
Answer:
The answer is 6.28.
Step-by-step explanation:
The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.
Please help me with this it's really important
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
There are 14 4-point questions and 26 2-point questions.
Step-by-step explanation:
m = number of 4-point questions
n = number of 2-point questions
m+n =40
4m + 2n =108
You can solve system by elimination:
Multiply the 1st equation by -4 and keep the 2nd equation the same.
−4(m+n=40) → -4m -4n= -160
4m+2n=108 add them up
-2n = -52 divide both sides by -2
n = 26
plug it back in to solve for m
m + n = 40 →m + 26 =40 subtract 26 to both sides
m = 14
Answer:
m=14, n=26
Step-by-step explanation:
10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point
dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*
Answer:
The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cone-shaped mound is 100 feet
Height of a cone-shaped mound is 60 feet
It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
r is radius of cone, r = 50 feet
So,
[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]
So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Henry buys a candy bar worth $3.20 plus a chocolate bar worth $1.60. How much change does he have leftover from $8.50? EXPLAIN!
Answer:
$3.70
Step-by-step explanation:
So you have $8.50
You but a candy bar for $3.20
8.50-3.20=5.30
you have $5.30 left to spend
From your remaining $5.30 you buy a chocolate bar that is $1.60
5.30-1.60=3.70
Leaving you with $3.70
In right triangle XYZ, ∠Z is a right angle, m∠Y=16∘, and XZ=7. sin16∘≈0.276 cos16∘≈0.961 tan16∘≈0.287. What is the measurement of YZ?
Answer: 24.4
Step-by-step explanation:
So lets review a bit about sine, cosine, and tangent.
Look at attachment below
Okay so we have the opposite side of the triangle and are trying to find the length of the adjacent side. The only trig expression that contains both opposite and adjacent is tangent. The equation goes
tanX = opposite(XZ)/adjacent (YZ)
we know what X is X = 16
and we know what opposite is opposite = 7
so now the equation looks like
tan16 = 7/adjacent
and in the question it says that tan16 = 0.287 so lets plug that in
0.287 = 7/adjacent
0.287adjacent = 7
adjacent = 7/0.287
adjacent = 24.4
YZ = 24.4
Need help plotting this on a number line
Answer:
Fill in the long -5/2 on the number line and draw a ray extending to the left
Step-by-step explanation:
James is following this recipe to make flapjacks.
James uses 450 g of sugar.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
125 ml syrup
90 g sugar
180 g oats
125 g margarine
30 g sultanas
Answer:
40
Step-by-step explanation:
90/8=11.25 (1 flapjack)
11.25x40=450
Keeping the properties of exponents in mind to what power must your raise the expression 7 1/2 to get 7 as a result
Answer:
x=2
Step-by-step explanation:
(7^ (1/2))ˣ = 7¹
1/2 *x =1
x =2
Jack's brother is 14 years older than him. In six years time, Jack's brother will be twice as old as him. How old is Jack now?
