The number of bags of blueberries and grapes that Mr. Rodriguez can make is 10.
How many bags can he make?If the number of blueberries and grapes in the bags of snacks would be the same, the common factor of 20 and 30 have to be determined.
A factor is a number that divides another number evenly. For example, a factor of 200 is 10. A common factor is a factor that two or more number share. For example, a common factor of 10 and 20 is 5.
Factors of 20 = 1, 2, 4, 5, 10, 20
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
Common factors = 1, 2, 3, 10
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Answer:10 bag thank i m smart
Step-by-step explanation:
20% of a saline solution was mixed into saline solution with a concentration of 48% saline. How much of each solution be mixed together to obtain a solution of 8 milliliters with a 32% saline concentration
Answer:
Below in bold.
Step-by-step explanation:
Let x be the amount of 20% saline solution then the amount of 48% will
8 - x milliliters.
So,
0.20x + 0.48(8 - x) = 0.32* 8
0.20x + 3.84 - 0.48x = 2.56
-0.28x = -1.28
x = -1.28/-0.28
= 4.57 milliliters.
8 - x = 3.43 milliliters
The answer is:
4.57 milliliters of 20% solution and 3.43 milliliters of the 48% solution.
AOC and BOD are diameters of a circle, centre O
Prove that triangle ABD and triangle DCA are congruent by RHS.
B
Triangle ABD is congruent to triangle DCA.
What is congruency of triangles?
Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. Two triangles are congruent if their respective sides are the same length and their corresponding angles are the same size.
Given, AOC and BOD are the diameters of a circle
Then, In triangles ABD and DCA,
∠BAD = ∠ADC = 90°
BD = CA (diameter)
AD = DA (common)
Thus, by RHS rule the triangles are congruent
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If the area of a rectangular sign is 3752 sq ft, and the width is approximately 56 ft, what is the height of the sign?
Answer: l=67ft
Using the formula
A=wl
Step-by-step explanation:
Solving
l=A
w=3752
56=67ft
33-(2c+4)=2(c +7)+c
what is C?
Answer:
x=4.6
Step-by-step explanation:
Because we are finding C, first use the distributive property.
33-(2c+4)=2(c+7)+c can turn into:
33-2c+4=2c+14+c
Now, combine like terms.
33+4=37
2c+c=3c
Now you are left with:
37-2c=3c+14
Now, add 2c on both sides.
37=5x+14
Next, subtract 14 on both sides.
37-14=23
23=5x
Finally, divide by 5 on both sides
x=4.6
A particular jury consists of 7 jurors. Each juror has a 0. 2 chance of making the wrong decision, independently of the others. If the jury reaches a decision by majority rule, what is the probability that it will reach a wrong decision?.
The probability that the jury will make a wrong decision is 0.033
The number of jury that makes the wrong decision can be modeled as a binomial random with parameters n=7 and p=0.2. This jury as a whole will make wrong decision if 4, 5, 6, or 7 make the wrong decision.
Now, denote the events with A, B, C, D for 4, 5, 6, 7 respectively. The probability of this union is the sum of probabilities, so that:
P(Jury Error) = P(A)+P(B)+P(C)+P(D)
[tex]\left \ ({{7} \atop {4}} \right.)(0.2)^{4} *(0.8)^{3}+\left \(( {{7} \atop {5}} \right. )(0.2)^{5} *(0.8)^{2} +\left \ ({{7} \atop {6}} \right.)(0.2)^{6} *(0.8)^{1} +\left \(( {{7} \atop {7}} \right.)(0.2)^{7} *(0.8)^{0}[/tex]
[tex]=0.033[/tex]
[tex]P(Jury Error)=0.033[/tex]
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PLEASEE HELP WHAT IS THE ANSWERR?!?!
Answer:
42 degree
Step-by-step explanation:
180-132=48
48+90=138
180-138=42
Answer:
Angle e is 42°.
Hope this helps!
Step-by-step explanation:
Total degrees of a triangle is 180°.
The square in the bottom means 90°, the angle with 132° is 48° because it's 180-132. 90 + 48 is 138, 180 - 138 is 42. Angle e is 42°.
HELP ME ASAP TO BE DONE BY TONIGHT
Answer:
neither
Step-by-step explanation:
The lines are neither. They are perpendicular because when I graphed them, line 2 intersected line 1 at 5, -2.
Hope this helps! :)
A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
How much was deducted from the original price?
Answer:£7.80p
Step-by-step explanation:
To find 10% you would divide 13.00 by 10 which would give you 1.30.You then times that by 4 and the answer (£7.80)would be 40% off
Hope that Helps!!
SUPER URGENT WILL GIVE BRANLIEST AND ALL THE POINTS I HAVE
line a is parallel to line b. if the measure of∠7 is 144° what is the measure of∠4
Answer:
140
Step-by-step explanation:
Hi I need help ASAP please and thank you
Answer: what’s the question? :D
Step-by-step explanation:
What is an equation of the line that passes through the points (-5,7) and (5,5)?
Drawn to scale
find the area of the figure
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=8\\ b=12\\ h=7 \end{cases}\implies A=\cfrac{7(8+12)}{2}\implies A=70[/tex]
What is the slope of a line perpendicular to the line whose equation is
2x + 3y = 21. Fully simplify your answer.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]2x+3y=21\implies 3y=-2x+21\implies y=\cfrac{-2x+21}{3} \\\\\\ y=\cfrac{-2x}{3}+\cfrac{21}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well then, that simply means that
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}[/tex]
Kelly used a calculator to multiply large numbers. How can she write the number on her calculator screen in standard form? 3.15 E15
Kelly multiplied big number with a calculator. 3.15e-15 number on calculator means or 3.15e-15 in standard form is: 0.00000000000000315.
Given that,
Kelly multiplied big number with a calculator.
We have to find the standard form of 3.15e-15.
3.15e-15 is written in scientific notation, often called standard form. used to express big or tiny numbers differently.
3.15 = coefficient
e = 10 to the power of
-15 = exponent
We get, The standard form as
= 3.15e-15
= 3.15 × [tex]10^{-15}[/tex]
= 0.00000000000000315
Therefore, 3.15e-15 number on calculator means or 3.15e-15 in standard form is: 0.00000000000000315
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Answer:3,500,000,000,000,000
Step-by-step explanation:
3.5x10^15=3,500,000,000,000,000
Which of the following combinations could
be three sides of a triangle?
Answer:
C
D
1,2,3,4,5,6 And 7
Step-by-step explanation:
1. By the nature of triangles, the sum of the two sides has to be greater than the third and the difference between two sides has to be less than the third side.
A. 5+6=11 Wrong
B. 1+3<5 Wrong
C. 5+16>20 Right
16-5<20
D.7+7=14 Wrong
2. Two sides of a Triangle are 15 and 8
A. 8+9>15 15-8<9 Can
B. 8+13>15 15-8<13 Can
C. 15+8>21 21-8<15 Can
D. 15+8<25 Cannot
3. According to the Trilateral Relation of Triangle
Let's say the length of the third side is X (X≠Z)
i. 4-4<x x>8 0<X>8 (X≠Z)
4-4>x x<8
i. In 0,1,2,3,4,5,6,7,8,9,10
X could be 1,2,3,4,5,6, and 7
TRIANGLE
A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon.
Each triangle has three sides and three angles, with some of the angles being the same.
In the case of a right triangle, the side opposite the right angle is known as the hypotenuse, while the other two sides are known as the legs.
Trilateral Relationship of Triangle
A trilateral is a shape with three sides in geometry. 'Of trilateral figures, an equilateral triangle is one with three equal sides, an isosceles triangle is one with two equal sides, and a scalene triangle is one with three unequal sides.'
Triangle Inequality
The triangle inequality asserts that the sum of the lengths of any two sides of a triangle must be larger than or equal to the length of the remaining side in mathematics.
The condition of the triangle's sides
According to the triangle inequality, the lengths of any two triangle sides must be more than or equal to the length of the third side. Only a degenerate triangle with collinear vertices can have that total equal to the length of the third side.
If and only if the side lengths satisfy the triangle inequality, a triangle with three given positive side lengths exists.
Copy down the calculation below and insert one pair of brackets so that the
answer is correct.
12 + 24 divided by 2²+ 8 = 14
Answer:
12+24÷(2^2+8)
Step-by-step explanation:
that should be the answer
if you struggle with questions that are like this use trial and error
distributive property 4x9.4
Answer:
37.6
Step-by-step explanation:
4*9.4 = 37.6
a card is drawn randomly from a standard 52-card deck. find the probability of the given event. (a) the card drawn is 3 the probability is : (b) the card drawn is a face card (jack, queen, or king) the probability is : (c) the card drawn is not a face card. the probability is :
A card is drawn randomly from a standard 52-card deck. then the probabilities are a) 1/13 b) 3/13 and c) 10/13
There are four 3's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 3. This means that the probability will be:
p = 4/52
p= 1/13
b.
For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:
4*3 =12
The total possible cards are, still, 52, so, the probability will be
p= 12/52
p=3/13
c.
We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face card its:
p=52/52
p=1
so
p( the card is a face card ) + p( the card is not a face card) =1
but, we know that
p( the card is a face card ) =3/13
so
p( the card is not a face card) =1- 3/13
= 10/13
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Need asap please will give 20 points if its correct
.
Which is the opposite of squaring a number?
Squaring the number.
Finding the cube root.
Finding the square root.
Cubing a number.
Answer:
finding the square root
Step-by-step explanation:
given 5² = 25
then the opposite is finding the square root , that is
5 = [tex]\sqrt{25}[/tex]
Remove parentheses by using distributive property -2(3x - 4)
Answer:
-6x+8
Step-by-step explanation:
-2(3x-4)
-2(3x)-2(-4)
-6x+8
-c+8x evaluated please help m with this math problem
Answer:0.5
Step-by-step explanation:
Given that 2 = 6.
Which theorem proves that line d is parallel to line e.
Converse of the alternate exterior angle
theorem
Converse of the alternate interior angle
theorem
Alternate Exterior angle theorem
Alternate interior angle theorem
The theorem that proves that lines d and e are parallel is the: A. converse of the alternate exterior angles theorem.
What is the Converse of the Alternate Exterior Angles Theorem?The alternate exterior angles that are formed on each lines that are cross by the transversal are said to be congruent or equal to each other if both lines they lie on are parallel, based on the alternate exterior angles theorem.
Also, we can prove that if the alternate exterior angles are congruent, then the lines they lie on are parallel lines, using the converse of the alternate exterior angles theorem.
Thus, we are given that angle 2 = angle 6. Angles 2 and 6 lie on lines d and e. Since they are equal to each other, they are congruent angles. Therefore, lines d and e are parallel lines based on the converse of the alternate exterior angles theorem.
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What is the equation for the linear model in the scatter plot obtained by choosing
the two points closest to the line? Please enter an exact answer (use a simplified
fraction or whole number instead of a decimal).
A. -2x +4
B. 2x+ 4
C. Y= -7/6x + 3
D. Y= 1/2x +4
The equation for the linear model in the scatter plot obtained by choosing
the two points closest to the line is y = - 2x + 4
How to find the equation for a linear model?The equation for the linear model in the scatter plot obtained by choosing
the two points closest to the line can be solved as follows:
The two point closest to the line are as follows:
(2, 0)(1, 2)
Using the linear equation,
y = mx + b
where
m = slopeb = y-interceptHence,
m = 2 - 0 / 1 - 2
m = 2 / - 1
m = -2
Therefore, the y-intercept using (2, 0) will be as follows:
0 = -2(2) + b
b = 4
Hence, the equation for the linear model is y = - 2x + 4
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1. A man is able to walk 216 feet in 3 minutes. How far can he walk in 1
minute?
Answer: 216/3
Step-by-step explanation:
1 minute / 3 minutes = 1/3
216 feet * 1/3 = 216/3 feet per minute
Answer:
72 feet
Step-by-step explanation:
This question tests on the concept of conversion.
Given from the question, given the man can walk 216 feet in 3 minutes,
3 minutes = 216 feet
(3÷3) minute = (216 ÷ 3) feet
1 minute = 72 feet
For what value of x is sin ( x ) = cos 62, where 0 < x < 90?
Answer:
x = 28°
Step-by-step explanation:
using the cofunction identity
cos x = sin(90 - x) , then
cos62° = sin(90 - 62)° = sin28°
The probability of choosing a rotten apple from the bag of apples is 4/5
When the probability of choosing a rotten apple from the bag of apples is 4/5, the term that describes the probability is C. likely.
How to calculate the probability?It should be noted that probability simply means the occurence of a particular event. It should be noted that we know that the probability is between 0 to 1.
In this case, the probability of choosing a rotten apple from the bag of apples is 4/5. It should be noted that the probability is likely since it's close to 1.
Therefore, the correct option is C.
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The probability of choosing a rotten apple from the bag of apples is 4/5. Which term best describes this probability
impossible
unlikely
likely
certain
The area of a parallelogram is 88.58 sq cm. The length of the base is 8.6 cm. What is the height?
Answer:
10.3 is the length
Step-by-step explanation:
If the area of a parallelogram is B * H then finding one side is dividing area by base or by height
88.58 / 8.6
Answer:
Step-by-step explanation:
88.58 divided by 8.6 is 10.3. That is your answer. 10.3.
y^2-10+30 Prove that the value of the expression must be positive.
Answer:
Step-by-step explanation:
[tex]y^2-10y+30=\\y^2-2(y)(5)+5^2-5^2+30=\\(y-5)^2-25+30=\\(y-5)^2+5[/tex]
[tex](y-5)^2\geq 0\\\Rightarrow\ (y-5)^2+5 > 0\\Thus,\ y^2-10y+30 > 0[/tex]
Apply all relevant properties of
Recall that, when two terms are being multiplied and they have the same number we can add the exponents:
[tex]x^nx^m=x^{n+m}.[/tex]Applying the above property to the given expressions, we get:
[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^{\frac{9}{5}+\frac{1}{5}}, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^{\frac{10}{3}+\frac{11}{3}}, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^{\frac{7}{2}+\frac{1}{2}}. \end{gathered}[/tex]Simplifying the above results, we get:
[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^2, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^7, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^4. \end{gathered}[/tex]Answer:
[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^2, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^7, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^4. \end{gathered}[/tex]Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation.
5x+2y=10
and passes through (-6, 7)
Line equation is 5x+2y=10. The point (-6,7). An equation line through the given point and parallel to the given equation is 5x+2y+16=0.
Given that,
Line equation is 5x+2y=10
The point (-6,7)
We have to find an equation line through the given point and parallel to the given equation, in slope-intercept form.
Take equation 5x+2y=10
2y=10-5x
y=(10-5x)/2
y=5-5/2x
The slope of the equation is -5/2
Now, the slope equation formula is
(y-y₁)=m(x-x₁)
Here,
m is -5/2
x₁=-6
y₁=7
We substitute in the formula
(y-7)=-5/2(x-(-6))
(y-7)=-5/2(x+6)
2(y-7)=-5(x+6)
2y-14=-5x-30
5x+2y=-30+14
5x+2y=-16
5x+2y+16=0
Therefore, an equation line through the given point and parallel to the given equation is 5x+2y+16=0.
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