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Alika [10]
3 years ago
9

Jessica purchased 30 dolls and play trucks for the play school. Each doll costs $5 and each playtruck costs $10. How many dolls

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

16 dolls and 12 trucks

Step-by-step explanation:

simple math

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If Brian biked at an average speed of 12.2 miles per hour for 1.45 hours, you can find the total distance by multiplying
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17.69 miles

Step-by-step explanation:

We are given that Brian is riding his bike with a speed of 12.2 miles per hour . We have to evaluate the distance traveled if he rides his bike for 1.45 hours.

We know that the formula for distance is given as

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Distance = 12.2 * 1.45

Distance = 17.69

Hence Brian travels 17.69  miles.

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Which conditional statement is represented by the Venn diagram below?
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Option B

Step-by-step explanation:

Step 1 :

Option A does not represent the Venn diagram because it specifies that the triangle does not have 3 vertices  which is not true

Step 2 :

Option B is the conditional statement which is represented by the Venn diagram because a triangle has 3 corners or vertices and 3 lines or edges.

Step 3 :

The statement in option 3 and 4 is not represented by the Venn diagram as it is not the definition of a triangle

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4 years ago
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2
Nana76 [90]

Answer: k=18\dfrac{8}{11}.

Step-by-step explanation:

If a line passing through two points, then

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN =\dfrac{1-0}{5-0}=\dfrac{1}{5}

The endpoints of segment AB have coordinates \left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right) and  \left(-2\dfrac{1}{4} , k\right).

A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)

B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right).

Slope of AB =\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}

=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}

=\dfrac{4k-9}{4}\times \dfrac{44}{-145}

=4k-9\times \dfrac{11}{-145}

=\dfrac{44k-99}{-145}

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

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\dfrac{44k-99}{-725}=-1

44k-99=725

44k=725+99

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k=\dfrac{206}{11}

k=18\dfrac{8}{11}

Therefore, the value of k is k=18\dfrac{8}{11}.

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