Answer:
Rocío respondió 43 preguntas correctas y 17 incorrectas.
Step-by-step explanation:
Dado que en las olimpiadas de Matemática, Rocío representó a su colegio, y la prueba consistía en 60 problemas, de los cuales cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra, y luego del examen, Rocío obtuvo un puntaje de 155, y ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas, para determinar dicha duda se debe realizar el siguiente calculo:
60 x 4 = 240
40 x 4 - 20 = 140
45 x 4 - 15 = 165
42 x 4 - 18 = 150
43 x 4 - 17 = 155
Por lo tanto, Rocío respondió 43 preguntas correctas y 17 incorrectas.
Rewrite the following expression.
A.
B.
C.
D.
Answer:
da
Step-by-step explanation:
I don't get this can somone help me please
Answer:
f = m+h
Step-by-step explanation:
just add h to both sides of the equation to isolate f.
Hope this helps!
Apply the distributive property to create an equivalent expression.
\dfrac15(15+10k) =
5
1
(15+10k)=start fraction, 1, divided by, 5, end fraction, left parenthesis, 15, plus, 10, k, right parenthesis, equals
Answer:
3 + 2k
Step-by-step explanation:
Given:
1/5(15 + 10k)
= (1/5 * 15) + (1/5 * 10k)
= (1 * 15)/5 + (1 * 10k)/5
= 15/5 + 10k/5
= 3 + 2k
Therefore,
1/5(15 + 10k) = 3 + 2k
The equivalent expression is 3 + 2k
5(a-5)+a(a-5) complete the expression
Answer:
a^2 -25
Step-by-step explanation:
5a-25 + a^2 - 5a
a^2 - 25
Two adjacent angles of a paralle
logram are congruent. What is the measure of
each?
Answer:
[tex]90^{\circ}[/tex]. In other words, these two angles are both right angles, and this parallelogram would be a rectangle.
Step-by-step explanation:
Two angles that congruent have the same size.
At the same time, those two adjacent angles of this parallelogram would be a pair of consecutive interior angles. Because the two sides of a parallelogram are parallel to one another, the sum of these two consecutive interior angles would be [tex]180^{\circ}[/tex]- they are supplementary to one another.
Let the two angles be [tex]\angle1[/tex] and [tex]\angle 2[/tex].
[tex]\angle 1 = \angle 2[/tex] because the two angles are congruent.
[tex]\angle 1 + \angle 2 = 180^{\circ}[/tex] because these two angles are adjacent angles of a parallelogram.
Hence, [tex]\displaystyle \angle 1 = \angle 2 = \frac{1}{2} \times 180{^\circ} = 90^{\circ}[/tex].
Which equation, when graphed, has x-intercepts at (2.0) and (4.0) and a y-intercept of (0.-16)?
f(x) = -(x-2)(x-4)
f(x) = -(x + 2)(x + 4)
O f(x) = -2(x-2)(x-4)
O f(x) = -2(x + 2)(x + 4)
Answer:
equation 3 for the x intercept ley Y =0 and for the Y intercept let X =O
which is represented by the table
Answer:
I think its is C
Peter's father told Peter to buy four-tenths of a pound of chili powder. Each
package is marked with its weight. What package should Peter buy?
Answer:
The one with 6.4 ounces or multiple that are equivalent to that
Step-by-step explanation:
4/10 of a pound is equivalent to 2/5 of a pound. 2/5 of a pound is 6.4 ounces.
45 people were surveyed. 33 people like hamburgers, 18 people like hamburgers and hot dogs. How many people like hot dogs?
Answer:
12
Step-by-step explanation:
45-33 is 12
And I guess to check, make sure 12 < 18
Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two triangles are similar
Answer:
angles Q and Q' are congruent, angles R and R' are congruent
Step-by-step explanation:
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional,
or,
3. two pairs of corresponding sides are proportional AND the included angles are congruent.
And, angles are always congruent when a figure is dilated
Therefore, angles Q and Q' are congruent, angles R and R' are congruent(satisfies the first criterion that at least two corresponding angles are congruent)
A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p?
0.07p
0.93
1.07
7.000
HELP PLS SMb!
Answer:
0.07.
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
look at the image for the question and answers
Answer:
C
Step-by-step explanation:
Answer:
2 units
Step-by-step explanation:
Using the given formula
P = 2(l + w)
= 2([tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] )
= 2(1)
= 2 units
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 28.8°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{3.9}{8.1}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{3.9}{8.1}[/tex] ) ≈ 28.8° ( to the nearest tenth )
Triangle D E F is shown. Use ΔDEF to complete the statements. Angle E is the included angle between sides . The included angle between sides FE and DF is angle
Answer:
Angle E is the included angle between sides DE and EF.
The included angle between sides FE and DF is angle F
Step-by-step explanation:
Given
[tex]\triangle D EF[/tex]
Required
Complete the blanks
To solve this, I will attach an illustration of [tex]\triangle D EF[/tex]
From the attached image of [tex]\triangle D EF[/tex], we can see that"
[tex]\angle E[/tex] is between DE and EF
[tex]\angle F[/tex] is between FE and DF
Answer:
see picture
Step-by-step explanation:
Solve the following with steps
5/10 * -4/12 - 1/3 - 4/12 * 2/10
Answer:
Step-by-step explanation:
[tex]\frac{5}{10}*\frac{-4}{12}-\frac{1}{3}-\frac{4}{12}*\frac{2}{10}\\\\=\frac{1}{2}*\frac{-1}{3}-\frac{1}{3}-\frac{1}{3}*\frac{1}{5}\\\\= \frac{-1}{3}[\frac{1}{2}+1+\frac{1}{5}]\\\\=\frac{-1}{3}[\frac{1*5}{2*5}]+\frac{1*10}{1*10}+\frac{1*2}{5*2}]\\\\=\frac{-1}{3}[\frac{5}{10}+\frac{10}{10}+\frac{2}{10}]\\\\=\frac{-1}{3}[\frac{5+10+2}{10}]\\\\=\frac{-1}{3}*\frac{17}{10}\\\\=\frac{-17}{30}[/tex]
Question 19 (5 points)
Determine the measure of
82.49
43.1°
55.0° °
46.3°
Answer: 43.1 degrees (choice B)
==================================================
Work Shown:
Use the law of sines
sin(A)/a = sin(C)/c
sin(A)/20 = sin(82)/29
sin(A) = 20*sin(82)/29
sin(A) = 0.68294349
A = arcsin(0.68294349)
A = 43.074088
A = 43.1 degrees
Answer:
43.1°
Step-by-step explanation:
Hello, just finished the quiz and the correct answer is 43.1 degrees.
In the diagram below, OP is circumscribed about quadrilateral ABCD. what is the value of x?
This is because the opposite angles of any inscribed quadrilateral (aka cyclic quadrilateral) are always supplementary. So x+130 = 180 solves to x = 50.
If OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
A quadrilateral is inscribed insider a circle with centre p.
ABCD is a quadrilateral
We have to find the value of x.
As we know that the sum of the opposite side measures is 180 degrees.
m∠A + m∠C = 180
x + 130 =180
Subtract 130 from both sides
x = 180-130
x= 50 degrees.
Hence, if OP is circumscribed about quadrilateral ABCD then the value of x is 50 degrees, Option B is correct.
To learn more on Quadrilateral click:
https://brainly.com/question/29934440
#SPJ7
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
x = 50.6
Step-by-step explanation:
Which product is positive?
O (2/5) (-8/9) (-1/3) (-2/7)
O (-2/5) (8/9) (-1/3) (-2/7)
O (2/5) (8/9) (1/3) (-2/7)
O (-2/5) (-8/9) (1/3) (2/7)
Answer:
D
Step-by-step explanation:
because there is an even number of negatives\
Hope this help have a good day
Answer:
4 th option
Step-by-step explanation:
The product of an even / odd amount of positive numbers is positive
The product of an even amount of negative numbers is positive.
The product of an odd amount of negative numbers is negative.
Option 1
The product of 1 positive and 3 negative numbers will be negative
Option 2
Similar to option 1
Option 3
The product of 3 positive and 1 negative will be negative
Option 4
The product of 2 negative and 2 positive numbers will be positive
Write each as a percent. Use proportions.
7/25
2/3
3/8
ABCD is a quadrilateral.
29
Work out angle x.
13 cm
8 cm
А
6 cm
D
Answer:
Answer:
27.6 degrees
Step-by-step explanation:
pls help me expand this expression
Answer:
just be smart
Step-by-step explanation: (2x)
Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3)
Answer:
10cm2
Step-by-step explanation:
A=1÷2×4×5=10cm2
Tom's age is divisible by 7. If Tom's age is divided by 3 or 4, the remainder will be one. Tom is less than 100 years old. What is Tom's age?
Answer:
49
Step-by-step explanation:
how do you discribe any opposite in a parallelogram?
Answer:
Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
Step-by-step explanation:
Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answer:
7/50 = x/75
x = 10.5
therefore he would run 10.5 miles in 75 minutes
Answer:
In 75 minutes, she runs (7/50) x 75 = 10.5.
She runs 10.5 miles in 75 minutes.
Step-by-step explanation:
the median of 2,8,6,10,4,12
Answer: 6
Step-by-step explanation: 6 is a median
Hey there!
To find your mean you have to put the numbers from descending (least/decreasing) to ascending (greater/increasing) order
Median is also understood as the “middle number”
2, 8, 6, 10, 4, 12
= 2, 4, 6, 8, 10, 12
Based on that information, you have in your new data set you have 2 pairs in the middle (6 & 8), so you’ll have to total/average of the number. We have to DIVIDE them by 2 because it’s 2 numbers
6 ends the descending set and 8 starts the ascending set
Median = 6 + 8 / 2
6 + 8 = 14
= 14/2
= 7
Answer: therefore your MEDIAN is most likely 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If you answer this correctly you get a cookie
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Total waste = 22 000 in^3
If we use a proportion we have:
x : 100 = 2000 : 22 000
x = 200 000 / 22 000 = 9,09 % (option a is wrong
x : 100 = 7000 : 22 000
x = 700 000 / 22 000 = 31 % (ok)
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
{–12, 2}
{–2, 12}
Answer:
(-12,2)
Step-by-step explanation:
x^2 + 10x = 24
x^2 + 10x + (10/2)^2 = 24 + (10/2)^2
10/2 = 5
5^2 = 25
x^2 + 10x + 25 = 24 + 25
x^2 + 10x + 25 = 49
(x + 5)^2 = 49 Take the square root of both sides
(x + 5) = sqrt(49)
x + 5 = +/- 7
x = +/- 7 - 5
x = +7 - 5 = 2
x = -7 - 5 = -12
Answer:
{ -12 , 2}
Step-by-step explanation:
x² + 10x = 24
In order to complete the square, the equation must first be in the form x² + bx =c.
x² + 10x = 24Divide 10, the coefficient of the x term, by 2 to get 5. Then add the square of 5 to both sides of the equation. This step makes the left hand side of the equation a perfect square.
x² + 10x + 5² = 24 + 5²expand exponents.
x² + 10x + 25 = 24 + 25Add 24 and 25
x² + 10x + 25 = 49Factor x² + 10x + 25. In general, when x² + bx + c is a perfect square, it can always be factored as ( x + b/2)².
( x + 5 )² =49Take the square root of both sides of the equation.
[tex] \small \sf \sqrt{(x + 5) {}^{2} } = \sqrt{49} [/tex]
simplify
x + 5 = 7x + 5 = +/- 7Subtract 5 from both sides.
x + 5 - 5 = 7 - 5
x = 2x + 5 - 5 = +/- 7 -5
x = -7 - 5 = -12The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.
Answer:
[tex]m\angle A= 30^{\circ}[/tex]
Step-by-step explanation:
In the question, we're given [tex]\angle A\cong \angle D[/tex]. Therefore, the measure of these two angles must be equal.
To find the value of [tex]x[/tex], set these two angles equal to each other:
[tex]4x-26=x+16[/tex]
Add 26 and subtract [tex]x[/tex] from both sides:
[tex]3x=42[/tex]
Divide both sides by 3:
[tex]x=\frac{42}{3}=14[/tex]
Since [tex]\angle A[/tex] was labelled as [tex]4x-26[/tex], substitute [tex]x=14[/tex] to find its measure:
[tex]\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}[/tex]
You can also substitute [tex]x=14[/tex] into the label of angle D as angle A is congruent to angle D for easier calculations ([tex]14+16=\boxed{30^{\circ}}[/tex]).